ETH Price: $2,515.62 (-0.42%)

Transaction Decoder

Block:
11847447 at Feb-13-2021 09:23:26 AM +UTC
Transaction Fee:
0.0986276529 ETH $248.11
Gas Used:
525,930 Gas / 187.53 Gwei

Emitted Events:

66 SoloMargin.0x91b01baeee3a24b590d112613814d86801005c7ef9353e7fc1eaeaf33ccf83b0( 0x91b01baeee3a24b590d112613814d86801005c7ef9353e7fc1eaeaf33ccf83b0, 000000000000000000000000c9e15f678824caf680d282d762133c72103ace8a )
67 SoloMargin.0xf4626fd1187f91e6761ffb8a6ac3e8d9235a4a92da54e43feb0c57c4a4a322ab( 0xf4626fd1187f91e6761ffb8a6ac3e8d9235a4a92da54e43feb0c57c4a4a322ab, 0x0000000000000000000000000000000000000000000000000000000000000000, 0000000000000000000000000000000000000000000000000e1a4cd514012a3f, 0000000000000000000000000000000000000000000000000de8035409d7c3e7, 0000000000000000000000000000000000000000000000000000000060279a8e )
68 WETH9.Transfer( src=SoloMargin, dst=[Receiver] 0xc9e15f678824caf680d282d762133c72103ace8a, wad=29160000000000004000 )
69 SoloMargin.0xbc83c08f0b269b1726990c8348ffdf1ae1696244a14868d766e542a2f18cd7d4( 0xbc83c08f0b269b1726990c8348ffdf1ae1696244a14868d766e542a2f18cd7d4, 0x000000000000000000000000c9e15f678824caf680d282d762133c72103ace8a, 0000000000000000000000000000000000000000000000000000000000000001, 0000000000000000000000000000000000000000000000000000000000000000, 0000000000000000000000000000000000000000000000000000000000000000, 00000000000000000000000000000000000000000000000194ad2180f2640fa0, 0000000000000000000000000000000000000000000000000000000000000000, 0000000000000000000000000000000000000000000000018e38b1d40014ecc5, 000000000000000000000000c9e15f678824caf680d282d762133c72103ace8a )
70 WETH9.Transfer( src=[Receiver] 0xc9e15f678824caf680d282d762133c72103ace8a, dst=UniswapV2Pair, wad=29160000000000004000 )
71 AlphaToken.Transfer( from=UniswapV2Pair, to=[Receiver] 0xc9e15f678824caf680d282d762133c72103ace8a, value=26121371288131203193378 )
72 UniswapV2Pair.Sync( reserve0=1766612790156882022773167, reserve1=1995361739853841893270 )
73 UniswapV2Pair.Swap( sender=UniswapV2Router02, amount0In=0, amount1In=29160000000000004000, amount0Out=26121371288131203193378, amount1Out=0, to=[Receiver] 0xc9e15f678824caf680d282d762133c72103ace8a )
74 AlphaToken.Transfer( from=[Receiver] 0xc9e15f678824caf680d282d762133c72103ace8a, to=IbETHRouter, value=26121371288131203193378 )
75 AlphaToken.Approval( owner=[Receiver] 0xc9e15f678824caf680d282d762133c72103ace8a, spender=IbETHRouter, value=115792089237316195423570985008687907853269984665640563969619259991935159931504 )
76 AlphaToken.Transfer( from=IbETHRouter, to=UniswapV2Pair, value=26121371288131203193378 )
77 AlphaToken.Approval( owner=IbETHRouter, spender=UniswapV2Router02, value=115792089237316195423570985008687907853269984665640248594227110874487926866580 )
78 Bank.Transfer( from=UniswapV2Pair, to=IbETHRouter, value=28177085892464840015 )
79 UniswapV2Pair.Sync( reserve0=8370261985991092853818, reserve1=7762435686529408544250041 )
80 UniswapV2Pair.Swap( sender=UniswapV2Router02, amount0In=0, amount1In=26121371288131203193378, amount0Out=28177085892464840015, amount1Out=0, to=IbETHRouter )
81 Bank.Transfer( from=IbETHRouter, to=0x0000000000000000000000000000000000000000, value=28177085892464840015 )
82 WETH9.Deposit( dst=[Receiver] 0xc9e15f678824caf680d282d762133c72103ace8a, wad=29226775653085899447 )
83 SoloMargin.0xab38cdc4a831ebe6542bf277d36b65dbc5c66a4d03ec6cf56ac38de05dc30098( 0xab38cdc4a831ebe6542bf277d36b65dbc5c66a4d03ec6cf56ac38de05dc30098, 0x000000000000000000000000c9e15f678824caf680d282d762133c72103ace8a, 0000000000000000000000000000000000000000000000000000000000000001, 000000000000000000000000c9e15f678824caf680d282d762133c72103ace8a )
84 WETH9.Transfer( src=[Receiver] 0xc9e15f678824caf680d282d762133c72103ace8a, dst=SoloMargin, wad=29160000000000004002 )
85 SoloMargin.0x2bad8bc95088af2c247b30fa2b2e6a0886f88625e0945cd3051008e0e270198f( 0x2bad8bc95088af2c247b30fa2b2e6a0886f88625e0945cd3051008e0e270198f, 0x000000000000000000000000c9e15f678824caf680d282d762133c72103ace8a, 0000000000000000000000000000000000000000000000000000000000000001, 0000000000000000000000000000000000000000000000000000000000000000, 0000000000000000000000000000000000000000000000000000000000000001, 00000000000000000000000000000000000000000000000194ad2180f2640fa2, 0000000000000000000000000000000000000000000000000000000000000001, 0000000000000000000000000000000000000000000000000000000000000000, 000000000000000000000000c9e15f678824caf680d282d762133c72103ace8a )
86 WETH9.Withdrawal( src=[Receiver] 0xc9e15f678824caf680d282d762133c72103ace8a, wad=66775653085895445 )
87 ChiToken.Transfer( from=[Sender] 0x30f0d59bf7659cadfa89b6d54e1dbd8acef83aa3, to=0x0000000000000000000000000000000000000000, value=0 )
88 ChiToken.Approval( owner=[Sender] 0x30f0d59bf7659cadfa89b6d54e1dbd8acef83aa3, spender=[Receiver] 0xc9e15f678824caf680d282d762133c72103ace8a, value=115792089237316195423570985008687907853269984665640564039457584007913129638434 )

Account State Difference:

  Address   Before After State Difference Code
(Hiveon Pool)
1,666.827351464648288283 Eth1,666.925979117548288283 Eth0.0986276529
0x1E0447b1...659614e4e
(dYdX: Solo Margin)
0x30f0d59B...AceF83AA3
0.200365869323083792 Eth
Nonce: 518
0.168513869508979237 Eth
Nonce: 519
0.031851999814104555
0x411A9B90...566a42875
0x67B66C99...39F0b9c7A 19,684.047762281917332227 Eth19,654.82098662883143278 Eth29.226775653085899447
0xa1faa113...c13B40975
0xC02aaA39...83C756Cc2 5,898,304.862105749275501433 Eth5,898,334.022105749275505435 Eth29.160000000000004002
0xf55C33D9...388b14964

Execution Trace

0xc9e15f678824caf680d282d762133c72103ace8a.3d511538( )
  • SoloMargin.STATICCALL( )
  • SoloMargin.getMarketTokenAddress( marketId=0 ) => ( 0xC02aaA39b223FE8D0A0e5C4F27eAD9083C756Cc2 )
  • WETH9.allowance( 0xC9e15F678824caf680D282D762133C72103aCE8A, 0x1E0447b19BB6EcFdAe1e4AE1694b0C3659614e4e ) => ( 115792089237316195423570985008687907853269984665640564039457584007913129639935 )
  • SoloMargin.operate( accounts=, actions= )
    • OperationImpl.bd76ecfd( )
      • WethPriceOracle.getPrice( 0xC02aaA39b223FE8D0A0e5C4F27eAD9083C756Cc2 ) => ( [{name:value, type:uint256, order:1, indexed:false, value:1818000000000000000000, valueString:1818000000000000000000}] )
        • P1MirrorOracleETHUSD.STATICCALL( )
        • DoubleExponentInterestSetter.getInterestRate( 0xC02aaA39b223FE8D0A0e5C4F27eAD9083C756Cc2, borrowWei=2480166587992639622522, supplyWei=116543603032404703047362 ) => ( [{name:value, type:uint256, order:1, indexed:false, value:67481667, valueString:67481667}] )
        • WETH9.transfer( dst=0xC9e15F678824caf680D282D762133C72103aCE8A, wad=29160000000000004000 ) => ( True )
        • 0xc9e15f678824caf680d282d762133c72103ace8a.8b418713( )
          • WETH9.balanceOf( 0xC9e15F678824caf680D282D762133C72103aCE8A ) => ( 29160000000000004000 )
          • WETH9.allowance( 0xC9e15F678824caf680D282D762133C72103aCE8A, 0xd9e1cE17f2641f24aE83637ab66a2cca9C378B9F ) => ( 115792089237316195423570985008687907853269984665640564039457584007913129639935 )
          • UniswapV2Router02.swapExactTokensForTokensSupportingFeeOnTransferTokens( amountIn=29160000000000004000, amountOutMin=1, path=[0xC02aaA39b223FE8D0A0e5C4F27eAD9083C756Cc2, 0xa1faa113cbE53436Df28FF0aEe54275c13B40975], to=0xC9e15F678824caf680D282D762133C72103aCE8A, deadline=1613208206 )
            • WETH9.transferFrom( src=0xC9e15F678824caf680D282D762133C72103aCE8A, dst=0xf55C33D94150d93c2cfb833bcCA30bE388b14964, wad=29160000000000004000 ) => ( True )
            • AlphaToken.balanceOf( account=0xC9e15F678824caf680D282D762133C72103aCE8A ) => ( 0 )
            • UniswapV2Pair.STATICCALL( )
            • WETH9.balanceOf( 0xf55C33D94150d93c2cfb833bcCA30bE388b14964 ) => ( 1995361739853841893270 )
            • UniswapV2Pair.swap( amount0Out=26121371288131203193378, amount1Out=0, to=0xC9e15F678824caf680D282D762133C72103aCE8A, data=0x )
              • AlphaToken.transfer( recipient=0xC9e15F678824caf680D282D762133C72103aCE8A, amount=26121371288131203193378 ) => ( True )
              • AlphaToken.balanceOf( account=0xf55C33D94150d93c2cfb833bcCA30bE388b14964 ) => ( 1766612790156882022773167 )
              • WETH9.balanceOf( 0xf55C33D94150d93c2cfb833bcCA30bE388b14964 ) => ( 1995361739853841893270 )
              • AlphaToken.balanceOf( account=0xC9e15F678824caf680D282D762133C72103aCE8A ) => ( 26121371288131203193378 )
              • AlphaToken.balanceOf( account=0xC9e15F678824caf680D282D762133C72103aCE8A ) => ( 26121371288131203193378 )
              • AlphaToken.allowance( owner=0xC9e15F678824caf680D282D762133C72103aCE8A, spender=0xbEBBFF645d666445F39900F33201405E1CdAF130 ) => ( 115792089237316195423570985008687907853269984665640563995740631280066363124882 )
              • IbETHRouter.swapExactAlphaForETH( amountAlphaIn=26121371288131203193378, amountETHOutMin=1, to=0xC9e15F678824caf680D282D762133C72103aCE8A, deadline=1613208206 ) => ( amounts=[26121371288131203193378, 29226775653085899447] )
                • AlphaToken.transferFrom( sender=0xC9e15F678824caf680D282D762133C72103aCE8A, recipient=0xbEBBFF645d666445F39900F33201405E1CdAF130, amount=26121371288131203193378 ) => ( True )
                • UniswapV2Router02.swapExactTokensForTokens( amountIn=26121371288131203193378, amountOutMin=0, path=[0xa1faa113cbE53436Df28FF0aEe54275c13B40975, 0x67B66C99D3Eb37Fa76Aa3Ed1ff33E8e39F0b9c7A], to=0xbEBBFF645d666445F39900F33201405E1CdAF130, deadline=1613208206 ) => ( amounts=[26121371288131203193378, 28177085892464840015] )
                  • UniswapV2Pair.STATICCALL( )
                  • AlphaToken.transferFrom( sender=0xbEBBFF645d666445F39900F33201405E1CdAF130, recipient=0x411A9B902F364817a0f9C4261Ce28b5566a42875, amount=26121371288131203193378 ) => ( True )
                  • UniswapV2Pair.swap( amount0Out=28177085892464840015, amount1Out=0, to=0xbEBBFF645d666445F39900F33201405E1CdAF130, data=0x )
                  • Bank.withdraw( share=28177085892464840015 )
                    • ConfigurableInterestBankConfig.getInterestRate( debt=287088063871374426880116, floating=19684047762281917332227 ) => ( 7716254488 )
                    • ConfigurableInterestBankConfig.STATICCALL( )
                    • ETH 29.226775653085899447 IbETHRouter.CALL( )
                    • ETH 29.226775653085899447 0xc9e15f678824caf680d282d762133c72103ace8a.CALL( )
                    • ETH 29.226775653085899447 WETH9.CALL( )
                    • WETH9.transferFrom( src=0xC9e15F678824caf680D282D762133C72103aCE8A, dst=0x1E0447b19BB6EcFdAe1e4AE1694b0C3659614e4e, wad=29160000000000004002 ) => ( True )
                    • WETH9.balanceOf( 0xC9e15F678824caf680D282D762133C72103aCE8A ) => ( 66775653085895445 )
                    • WETH9.withdraw( wad=66775653085895445 )
                      • ETH 0.066775653085895445 0xc9e15f678824caf680d282d762133c72103ace8a.CALL( )
                      • ETH 0.066775653085895445 0x30f0d59bf7659cadfa89b6d54e1dbd8acef83aa3.CALL( )
                      • ChiToken.freeFromUpTo( from=0x30f0d59BF7659cAdfA89B6D54E1DBd8AceF83AA3, value=15 ) => ( 0 )
                        File 1 of 15: SoloMargin
                        /*
                        
                            Copyright 2019 dYdX Trading Inc.
                        
                            Licensed under the Apache License, Version 2.0 (the "License");
                            you may not use this file except in compliance with the License.
                            You may obtain a copy of the License at
                        
                            http://www.apache.org/licenses/LICENSE-2.0
                        
                            Unless required by applicable law or agreed to in writing, software
                            distributed under the License is distributed on an "AS IS" BASIS,
                            WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                            See the License for the specific language governing permissions and
                            limitations under the License.
                        
                        */
                        
                        pragma solidity 0.5.7;
                        pragma experimental ABIEncoderV2;
                        
                        // File: openzeppelin-solidity/contracts/ownership/Ownable.sol
                        
                        /**
                         * @title Ownable
                         * @dev The Ownable contract has an owner address, and provides basic authorization control
                         * functions, this simplifies the implementation of "user permissions".
                         */
                        contract Ownable {
                            address private _owner;
                        
                            event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);
                        
                            /**
                             * @dev The Ownable constructor sets the original `owner` of the contract to the sender
                             * account.
                             */
                            constructor () internal {
                                _owner = msg.sender;
                                emit OwnershipTransferred(address(0), _owner);
                            }
                        
                            /**
                             * @return the address of the owner.
                             */
                            function owner() public view returns (address) {
                                return _owner;
                            }
                        
                            /**
                             * @dev Throws if called by any account other than the owner.
                             */
                            modifier onlyOwner() {
                                require(isOwner());
                                _;
                            }
                        
                            /**
                             * @return true if `msg.sender` is the owner of the contract.
                             */
                            function isOwner() public view returns (bool) {
                                return msg.sender == _owner;
                            }
                        
                            /**
                             * @dev Allows the current owner to relinquish control of the contract.
                             * @notice Renouncing to ownership will leave the contract without an owner.
                             * It will not be possible to call the functions with the `onlyOwner`
                             * modifier anymore.
                             */
                            function renounceOwnership() public onlyOwner {
                                emit OwnershipTransferred(_owner, address(0));
                                _owner = address(0);
                            }
                        
                            /**
                             * @dev Allows the current owner to transfer control of the contract to a newOwner.
                             * @param newOwner The address to transfer ownership to.
                             */
                            function transferOwnership(address newOwner) public onlyOwner {
                                _transferOwnership(newOwner);
                            }
                        
                            /**
                             * @dev Transfers control of the contract to a newOwner.
                             * @param newOwner The address to transfer ownership to.
                             */
                            function _transferOwnership(address newOwner) internal {
                                require(newOwner != address(0));
                                emit OwnershipTransferred(_owner, newOwner);
                                _owner = newOwner;
                            }
                        }
                        
                        // File: openzeppelin-solidity/contracts/utils/ReentrancyGuard.sol
                        
                        /**
                         * @title Helps contracts guard against reentrancy attacks.
                         * @author Remco Bloemen <remco@2π.com>, Eenae <[email protected]>
                         * @dev If you mark a function `nonReentrant`, you should also
                         * mark it `external`.
                         */
                        contract ReentrancyGuard {
                            /// @dev counter to allow mutex lock with only one SSTORE operation
                            uint256 private _guardCounter;
                        
                            constructor () internal {
                                // The counter starts at one to prevent changing it from zero to a non-zero
                                // value, which is a more expensive operation.
                                _guardCounter = 1;
                            }
                        
                            /**
                             * @dev Prevents a contract from calling itself, directly or indirectly.
                             * Calling a `nonReentrant` function from another `nonReentrant`
                             * function is not supported. It is possible to prevent this from happening
                             * by making the `nonReentrant` function external, and make it call a
                             * `private` function that does the actual work.
                             */
                            modifier nonReentrant() {
                                _guardCounter += 1;
                                uint256 localCounter = _guardCounter;
                                _;
                                require(localCounter == _guardCounter);
                            }
                        }
                        
                        // File: openzeppelin-solidity/contracts/math/SafeMath.sol
                        
                        /**
                         * @title SafeMath
                         * @dev Unsigned math operations with safety checks that revert on error
                         */
                        library SafeMath {
                            /**
                            * @dev Multiplies two unsigned integers, reverts on overflow.
                            */
                            function mul(uint256 a, uint256 b) internal pure returns (uint256) {
                                // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
                                // benefit is lost if 'b' is also tested.
                                // See: https://github.com/OpenZeppelin/openzeppelin-solidity/pull/522
                                if (a == 0) {
                                    return 0;
                                }
                        
                                uint256 c = a * b;
                                require(c / a == b);
                        
                                return c;
                            }
                        
                            /**
                            * @dev Integer division of two unsigned integers truncating the quotient, reverts on division by zero.
                            */
                            function div(uint256 a, uint256 b) internal pure returns (uint256) {
                                // Solidity only automatically asserts when dividing by 0
                                require(b > 0);
                                uint256 c = a / b;
                                // assert(a == b * c + a % b); // There is no case in which this doesn't hold
                        
                                return c;
                            }
                        
                            /**
                            * @dev Subtracts two unsigned integers, reverts on overflow (i.e. if subtrahend is greater than minuend).
                            */
                            function sub(uint256 a, uint256 b) internal pure returns (uint256) {
                                require(b <= a);
                                uint256 c = a - b;
                        
                                return c;
                            }
                        
                            /**
                            * @dev Adds two unsigned integers, reverts on overflow.
                            */
                            function add(uint256 a, uint256 b) internal pure returns (uint256) {
                                uint256 c = a + b;
                                require(c >= a);
                        
                                return c;
                            }
                        
                            /**
                            * @dev Divides two unsigned integers and returns the remainder (unsigned integer modulo),
                            * reverts when dividing by zero.
                            */
                            function mod(uint256 a, uint256 b) internal pure returns (uint256) {
                                require(b != 0);
                                return a % b;
                            }
                        }
                        
                        // File: contracts/protocol/lib/Require.sol
                        
                        /**
                         * @title Require
                         * @author dYdX
                         *
                         * Stringifies parameters to pretty-print revert messages. Costs more gas than regular require()
                         */
                        library Require {
                        
                            // ============ Constants ============
                        
                            uint256 constant ASCII_ZERO = 48; // '0'
                            uint256 constant ASCII_RELATIVE_ZERO = 87; // 'a' - 10
                            uint256 constant ASCII_LOWER_EX = 120; // 'x'
                            bytes2 constant COLON = 0x3a20; // ': '
                            bytes2 constant COMMA = 0x2c20; // ', '
                            bytes2 constant LPAREN = 0x203c; // ' <'
                            byte constant RPAREN = 0x3e; // '>'
                            uint256 constant FOUR_BIT_MASK = 0xf;
                        
                            // ============ Library Functions ============
                        
                            function that(
                                bool must,
                                bytes32 file,
                                bytes32 reason
                            )
                                internal
                                pure
                            {
                                if (!must) {
                                    revert(
                                        string(
                                            abi.encodePacked(
                                                stringify(file),
                                                COLON,
                                                stringify(reason)
                                            )
                                        )
                                    );
                                }
                            }
                        
                            function that(
                                bool must,
                                bytes32 file,
                                bytes32 reason,
                                uint256 payloadA
                            )
                                internal
                                pure
                            {
                                if (!must) {
                                    revert(
                                        string(
                                            abi.encodePacked(
                                                stringify(file),
                                                COLON,
                                                stringify(reason),
                                                LPAREN,
                                                stringify(payloadA),
                                                RPAREN
                                            )
                                        )
                                    );
                                }
                            }
                        
                            function that(
                                bool must,
                                bytes32 file,
                                bytes32 reason,
                                uint256 payloadA,
                                uint256 payloadB
                            )
                                internal
                                pure
                            {
                                if (!must) {
                                    revert(
                                        string(
                                            abi.encodePacked(
                                                stringify(file),
                                                COLON,
                                                stringify(reason),
                                                LPAREN,
                                                stringify(payloadA),
                                                COMMA,
                                                stringify(payloadB),
                                                RPAREN
                                            )
                                        )
                                    );
                                }
                            }
                        
                            function that(
                                bool must,
                                bytes32 file,
                                bytes32 reason,
                                address payloadA
                            )
                                internal
                                pure
                            {
                                if (!must) {
                                    revert(
                                        string(
                                            abi.encodePacked(
                                                stringify(file),
                                                COLON,
                                                stringify(reason),
                                                LPAREN,
                                                stringify(payloadA),
                                                RPAREN
                                            )
                                        )
                                    );
                                }
                            }
                        
                            function that(
                                bool must,
                                bytes32 file,
                                bytes32 reason,
                                address payloadA,
                                uint256 payloadB
                            )
                                internal
                                pure
                            {
                                if (!must) {
                                    revert(
                                        string(
                                            abi.encodePacked(
                                                stringify(file),
                                                COLON,
                                                stringify(reason),
                                                LPAREN,
                                                stringify(payloadA),
                                                COMMA,
                                                stringify(payloadB),
                                                RPAREN
                                            )
                                        )
                                    );
                                }
                            }
                        
                            function that(
                                bool must,
                                bytes32 file,
                                bytes32 reason,
                                address payloadA,
                                uint256 payloadB,
                                uint256 payloadC
                            )
                                internal
                                pure
                            {
                                if (!must) {
                                    revert(
                                        string(
                                            abi.encodePacked(
                                                stringify(file),
                                                COLON,
                                                stringify(reason),
                                                LPAREN,
                                                stringify(payloadA),
                                                COMMA,
                                                stringify(payloadB),
                                                COMMA,
                                                stringify(payloadC),
                                                RPAREN
                                            )
                                        )
                                    );
                                }
                            }
                        
                            // ============ Private Functions ============
                        
                            function stringify(
                                bytes32 input
                            )
                                private
                                pure
                                returns (bytes memory)
                            {
                                // put the input bytes into the result
                                bytes memory result = abi.encodePacked(input);
                        
                                // determine the length of the input by finding the location of the last non-zero byte
                                for (uint256 i = 32; i > 0; ) {
                                    // reverse-for-loops with unsigned integer
                                    /* solium-disable-next-line security/no-modify-for-iter-var */
                                    i--;
                        
                                    // find the last non-zero byte in order to determine the length
                                    if (result[i] != 0) {
                                        uint256 length = i + 1;
                        
                                        /* solium-disable-next-line security/no-inline-assembly */
                                        assembly {
                                            mstore(result, length) // r.length = length;
                                        }
                        
                                        return result;
                                    }
                                }
                        
                                // all bytes are zero
                                return new bytes(0);
                            }
                        
                            function stringify(
                                uint256 input
                            )
                                private
                                pure
                                returns (bytes memory)
                            {
                                if (input == 0) {
                                    return "0";
                                }
                        
                                // get the final string length
                                uint256 j = input;
                                uint256 length;
                                while (j != 0) {
                                    length++;
                                    j /= 10;
                                }
                        
                                // allocate the string
                                bytes memory bstr = new bytes(length);
                        
                                // populate the string starting with the least-significant character
                                j = input;
                                for (uint256 i = length; i > 0; ) {
                                    // reverse-for-loops with unsigned integer
                                    /* solium-disable-next-line security/no-modify-for-iter-var */
                                    i--;
                        
                                    // take last decimal digit
                                    bstr[i] = byte(uint8(ASCII_ZERO + (j % 10)));
                        
                                    // remove the last decimal digit
                                    j /= 10;
                                }
                        
                                return bstr;
                            }
                        
                            function stringify(
                                address input
                            )
                                private
                                pure
                                returns (bytes memory)
                            {
                                uint256 z = uint256(input);
                        
                                // addresses are "0x" followed by 20 bytes of data which take up 2 characters each
                                bytes memory result = new bytes(42);
                        
                                // populate the result with "0x"
                                result[0] = byte(uint8(ASCII_ZERO));
                                result[1] = byte(uint8(ASCII_LOWER_EX));
                        
                                // for each byte (starting from the lowest byte), populate the result with two characters
                                for (uint256 i = 0; i < 20; i++) {
                                    // each byte takes two characters
                                    uint256 shift = i * 2;
                        
                                    // populate the least-significant character
                                    result[41 - shift] = char(z & FOUR_BIT_MASK);
                                    z = z >> 4;
                        
                                    // populate the most-significant character
                                    result[40 - shift] = char(z & FOUR_BIT_MASK);
                                    z = z >> 4;
                                }
                        
                                return result;
                            }
                        
                            function char(
                                uint256 input
                            )
                                private
                                pure
                                returns (byte)
                            {
                                // return ASCII digit (0-9)
                                if (input < 10) {
                                    return byte(uint8(input + ASCII_ZERO));
                                }
                        
                                // return ASCII letter (a-f)
                                return byte(uint8(input + ASCII_RELATIVE_ZERO));
                            }
                        }
                        
                        // File: contracts/protocol/lib/Math.sol
                        
                        /**
                         * @title Math
                         * @author dYdX
                         *
                         * Library for non-standard Math functions
                         */
                        library Math {
                            using SafeMath for uint256;
                        
                            // ============ Constants ============
                        
                            bytes32 constant FILE = "Math";
                        
                            // ============ Library Functions ============
                        
                            /*
                             * Return target * (numerator / denominator).
                             */
                            function getPartial(
                                uint256 target,
                                uint256 numerator,
                                uint256 denominator
                            )
                                internal
                                pure
                                returns (uint256)
                            {
                                return target.mul(numerator).div(denominator);
                            }
                        
                            /*
                             * Return target * (numerator / denominator), but rounded up.
                             */
                            function getPartialRoundUp(
                                uint256 target,
                                uint256 numerator,
                                uint256 denominator
                            )
                                internal
                                pure
                                returns (uint256)
                            {
                                if (target == 0 || numerator == 0) {
                                    // SafeMath will check for zero denominator
                                    return SafeMath.div(0, denominator);
                                }
                                return target.mul(numerator).sub(1).div(denominator).add(1);
                            }
                        
                            function to128(
                                uint256 number
                            )
                                internal
                                pure
                                returns (uint128)
                            {
                                uint128 result = uint128(number);
                                Require.that(
                                    result == number,
                                    FILE,
                                    "Unsafe cast to uint128"
                                );
                                return result;
                            }
                        
                            function to96(
                                uint256 number
                            )
                                internal
                                pure
                                returns (uint96)
                            {
                                uint96 result = uint96(number);
                                Require.that(
                                    result == number,
                                    FILE,
                                    "Unsafe cast to uint96"
                                );
                                return result;
                            }
                        
                            function to32(
                                uint256 number
                            )
                                internal
                                pure
                                returns (uint32)
                            {
                                uint32 result = uint32(number);
                                Require.that(
                                    result == number,
                                    FILE,
                                    "Unsafe cast to uint32"
                                );
                                return result;
                            }
                        
                            function min(
                                uint256 a,
                                uint256 b
                            )
                                internal
                                pure
                                returns (uint256)
                            {
                                return a < b ? a : b;
                            }
                        
                            function max(
                                uint256 a,
                                uint256 b
                            )
                                internal
                                pure
                                returns (uint256)
                            {
                                return a > b ? a : b;
                            }
                        }
                        
                        // File: contracts/protocol/lib/Types.sol
                        
                        /**
                         * @title Types
                         * @author dYdX
                         *
                         * Library for interacting with the basic structs used in Solo
                         */
                        library Types {
                            using Math for uint256;
                        
                            // ============ AssetAmount ============
                        
                            enum AssetDenomination {
                                Wei, // the amount is denominated in wei
                                Par  // the amount is denominated in par
                            }
                        
                            enum AssetReference {
                                Delta, // the amount is given as a delta from the current value
                                Target // the amount is given as an exact number to end up at
                            }
                        
                            struct AssetAmount {
                                bool sign; // true if positive
                                AssetDenomination denomination;
                                AssetReference ref;
                                uint256 value;
                            }
                        
                            // ============ Par (Principal Amount) ============
                        
                            // Total borrow and supply values for a market
                            struct TotalPar {
                                uint128 borrow;
                                uint128 supply;
                            }
                        
                            // Individual principal amount for an account
                            struct Par {
                                bool sign; // true if positive
                                uint128 value;
                            }
                        
                            function zeroPar()
                                internal
                                pure
                                returns (Par memory)
                            {
                                return Par({
                                    sign: false,
                                    value: 0
                                });
                            }
                        
                            function sub(
                                Par memory a,
                                Par memory b
                            )
                                internal
                                pure
                                returns (Par memory)
                            {
                                return add(a, negative(b));
                            }
                        
                            function add(
                                Par memory a,
                                Par memory b
                            )
                                internal
                                pure
                                returns (Par memory)
                            {
                                Par memory result;
                                if (a.sign == b.sign) {
                                    result.sign = a.sign;
                                    result.value = SafeMath.add(a.value, b.value).to128();
                                } else {
                                    if (a.value >= b.value) {
                                        result.sign = a.sign;
                                        result.value = SafeMath.sub(a.value, b.value).to128();
                                    } else {
                                        result.sign = b.sign;
                                        result.value = SafeMath.sub(b.value, a.value).to128();
                                    }
                                }
                                return result;
                            }
                        
                            function equals(
                                Par memory a,
                                Par memory b
                            )
                                internal
                                pure
                                returns (bool)
                            {
                                if (a.value == b.value) {
                                    if (a.value == 0) {
                                        return true;
                                    }
                                    return a.sign == b.sign;
                                }
                                return false;
                            }
                        
                            function negative(
                                Par memory a
                            )
                                internal
                                pure
                                returns (Par memory)
                            {
                                return Par({
                                    sign: !a.sign,
                                    value: a.value
                                });
                            }
                        
                            function isNegative(
                                Par memory a
                            )
                                internal
                                pure
                                returns (bool)
                            {
                                return !a.sign && a.value > 0;
                            }
                        
                            function isPositive(
                                Par memory a
                            )
                                internal
                                pure
                                returns (bool)
                            {
                                return a.sign && a.value > 0;
                            }
                        
                            function isZero(
                                Par memory a
                            )
                                internal
                                pure
                                returns (bool)
                            {
                                return a.value == 0;
                            }
                        
                            // ============ Wei (Token Amount) ============
                        
                            // Individual token amount for an account
                            struct Wei {
                                bool sign; // true if positive
                                uint256 value;
                            }
                        
                            function zeroWei()
                                internal
                                pure
                                returns (Wei memory)
                            {
                                return Wei({
                                    sign: false,
                                    value: 0
                                });
                            }
                        
                            function sub(
                                Wei memory a,
                                Wei memory b
                            )
                                internal
                                pure
                                returns (Wei memory)
                            {
                                return add(a, negative(b));
                            }
                        
                            function add(
                                Wei memory a,
                                Wei memory b
                            )
                                internal
                                pure
                                returns (Wei memory)
                            {
                                Wei memory result;
                                if (a.sign == b.sign) {
                                    result.sign = a.sign;
                                    result.value = SafeMath.add(a.value, b.value);
                                } else {
                                    if (a.value >= b.value) {
                                        result.sign = a.sign;
                                        result.value = SafeMath.sub(a.value, b.value);
                                    } else {
                                        result.sign = b.sign;
                                        result.value = SafeMath.sub(b.value, a.value);
                                    }
                                }
                                return result;
                            }
                        
                            function equals(
                                Wei memory a,
                                Wei memory b
                            )
                                internal
                                pure
                                returns (bool)
                            {
                                if (a.value == b.value) {
                                    if (a.value == 0) {
                                        return true;
                                    }
                                    return a.sign == b.sign;
                                }
                                return false;
                            }
                        
                            function negative(
                                Wei memory a
                            )
                                internal
                                pure
                                returns (Wei memory)
                            {
                                return Wei({
                                    sign: !a.sign,
                                    value: a.value
                                });
                            }
                        
                            function isNegative(
                                Wei memory a
                            )
                                internal
                                pure
                                returns (bool)
                            {
                                return !a.sign && a.value > 0;
                            }
                        
                            function isPositive(
                                Wei memory a
                            )
                                internal
                                pure
                                returns (bool)
                            {
                                return a.sign && a.value > 0;
                            }
                        
                            function isZero(
                                Wei memory a
                            )
                                internal
                                pure
                                returns (bool)
                            {
                                return a.value == 0;
                            }
                        }
                        
                        // File: contracts/protocol/lib/Account.sol
                        
                        /**
                         * @title Account
                         * @author dYdX
                         *
                         * Library of structs and functions that represent an account
                         */
                        library Account {
                            // ============ Enums ============
                        
                            /*
                             * Most-recently-cached account status.
                             *
                             * Normal: Can only be liquidated if the account values are violating the global margin-ratio.
                             * Liquid: Can be liquidated no matter the account values.
                             *         Can be vaporized if there are no more positive account values.
                             * Vapor:  Has only negative (or zeroed) account values. Can be vaporized.
                             *
                             */
                            enum Status {
                                Normal,
                                Liquid,
                                Vapor
                            }
                        
                            // ============ Structs ============
                        
                            // Represents the unique key that specifies an account
                            struct Info {
                                address owner;  // The address that owns the account
                                uint256 number; // A nonce that allows a single address to control many accounts
                            }
                        
                            // The complete storage for any account
                            struct Storage {
                                mapping (uint256 => Types.Par) balances; // Mapping from marketId to principal
                                Status status;
                            }
                        
                            // ============ Library Functions ============
                        
                            function equals(
                                Info memory a,
                                Info memory b
                            )
                                internal
                                pure
                                returns (bool)
                            {
                                return a.owner == b.owner && a.number == b.number;
                            }
                        }
                        
                        // File: contracts/protocol/lib/Monetary.sol
                        
                        /**
                         * @title Monetary
                         * @author dYdX
                         *
                         * Library for types involving money
                         */
                        library Monetary {
                        
                            /*
                             * The price of a base-unit of an asset.
                             */
                            struct Price {
                                uint256 value;
                            }
                        
                            /*
                             * Total value of an some amount of an asset. Equal to (price * amount).
                             */
                            struct Value {
                                uint256 value;
                            }
                        }
                        
                        // File: contracts/protocol/lib/Cache.sol
                        
                        /**
                         * @title Cache
                         * @author dYdX
                         *
                         * Library for caching information about markets
                         */
                        library Cache {
                            using Cache for MarketCache;
                            using Storage for Storage.State;
                        
                            // ============ Structs ============
                        
                            struct MarketInfo {
                                bool isClosing;
                                uint128 borrowPar;
                                Monetary.Price price;
                            }
                        
                            struct MarketCache {
                                MarketInfo[] markets;
                            }
                        
                            // ============ Setter Functions ============
                        
                            /**
                             * Initialize an empty cache for some given number of total markets.
                             */
                            function create(
                                uint256 numMarkets
                            )
                                internal
                                pure
                                returns (MarketCache memory)
                            {
                                return MarketCache({
                                    markets: new MarketInfo[](numMarkets)
                                });
                            }
                        
                            /**
                             * Add market information (price and total borrowed par if the market is closing) to the cache.
                             * Return true if the market information did not previously exist in the cache.
                             */
                            function addMarket(
                                MarketCache memory cache,
                                Storage.State storage state,
                                uint256 marketId
                            )
                                internal
                                view
                                returns (bool)
                            {
                                if (cache.hasMarket(marketId)) {
                                    return false;
                                }
                                cache.markets[marketId].price = state.fetchPrice(marketId);
                                if (state.markets[marketId].isClosing) {
                                    cache.markets[marketId].isClosing = true;
                                    cache.markets[marketId].borrowPar = state.getTotalPar(marketId).borrow;
                                }
                                return true;
                            }
                        
                            // ============ Getter Functions ============
                        
                            function getNumMarkets(
                                MarketCache memory cache
                            )
                                internal
                                pure
                                returns (uint256)
                            {
                                return cache.markets.length;
                            }
                        
                            function hasMarket(
                                MarketCache memory cache,
                                uint256 marketId
                            )
                                internal
                                pure
                                returns (bool)
                            {
                                return cache.markets[marketId].price.value != 0;
                            }
                        
                            function getIsClosing(
                                MarketCache memory cache,
                                uint256 marketId
                            )
                                internal
                                pure
                                returns (bool)
                            {
                                return cache.markets[marketId].isClosing;
                            }
                        
                            function getPrice(
                                MarketCache memory cache,
                                uint256 marketId
                            )
                                internal
                                pure
                                returns (Monetary.Price memory)
                            {
                                return cache.markets[marketId].price;
                            }
                        
                            function getBorrowPar(
                                MarketCache memory cache,
                                uint256 marketId
                            )
                                internal
                                pure
                                returns (uint128)
                            {
                                return cache.markets[marketId].borrowPar;
                            }
                        }
                        
                        // File: contracts/protocol/lib/Decimal.sol
                        
                        /**
                         * @title Decimal
                         * @author dYdX
                         *
                         * Library that defines a fixed-point number with 18 decimal places.
                         */
                        library Decimal {
                            using SafeMath for uint256;
                        
                            // ============ Constants ============
                        
                            uint256 constant BASE = 10**18;
                        
                            // ============ Structs ============
                        
                            struct D256 {
                                uint256 value;
                            }
                        
                            // ============ Functions ============
                        
                            function one()
                                internal
                                pure
                                returns (D256 memory)
                            {
                                return D256({ value: BASE });
                            }
                        
                            function onePlus(
                                D256 memory d
                            )
                                internal
                                pure
                                returns (D256 memory)
                            {
                                return D256({ value: d.value.add(BASE) });
                            }
                        
                            function mul(
                                uint256 target,
                                D256 memory d
                            )
                                internal
                                pure
                                returns (uint256)
                            {
                                return Math.getPartial(target, d.value, BASE);
                            }
                        
                            function div(
                                uint256 target,
                                D256 memory d
                            )
                                internal
                                pure
                                returns (uint256)
                            {
                                return Math.getPartial(target, BASE, d.value);
                            }
                        }
                        
                        // File: contracts/protocol/lib/Time.sol
                        
                        /**
                         * @title Time
                         * @author dYdX
                         *
                         * Library for dealing with time, assuming timestamps fit within 32 bits (valid until year 2106)
                         */
                        library Time {
                        
                            // ============ Library Functions ============
                        
                            function currentTime()
                                internal
                                view
                                returns (uint32)
                            {
                                return Math.to32(block.timestamp);
                            }
                        }
                        
                        // File: contracts/protocol/lib/Interest.sol
                        
                        /**
                         * @title Interest
                         * @author dYdX
                         *
                         * Library for managing the interest rate and interest indexes of Solo
                         */
                        library Interest {
                            using Math for uint256;
                            using SafeMath for uint256;
                        
                            // ============ Constants ============
                        
                            bytes32 constant FILE = "Interest";
                            uint64 constant BASE = 10**18;
                        
                            // ============ Structs ============
                        
                            struct Rate {
                                uint256 value;
                            }
                        
                            struct Index {
                                uint96 borrow;
                                uint96 supply;
                                uint32 lastUpdate;
                            }
                        
                            // ============ Library Functions ============
                        
                            /**
                             * Get a new market Index based on the old index and market interest rate.
                             * Calculate interest for borrowers by using the formula rate * time. Approximates
                             * continuously-compounded interest when called frequently, but is much more
                             * gas-efficient to calculate. For suppliers, the interest rate is adjusted by the earningsRate,
                             * then prorated the across all suppliers.
                             *
                             * @param  index         The old index for a market
                             * @param  rate          The current interest rate of the market
                             * @param  totalPar      The total supply and borrow par values of the market
                             * @param  earningsRate  The portion of the interest that is forwarded to the suppliers
                             * @return               The updated index for a market
                             */
                            function calculateNewIndex(
                                Index memory index,
                                Rate memory rate,
                                Types.TotalPar memory totalPar,
                                Decimal.D256 memory earningsRate
                            )
                                internal
                                view
                                returns (Index memory)
                            {
                                (
                                    Types.Wei memory supplyWei,
                                    Types.Wei memory borrowWei
                                ) = totalParToWei(totalPar, index);
                        
                                // get interest increase for borrowers
                                uint32 currentTime = Time.currentTime();
                                uint256 borrowInterest = rate.value.mul(uint256(currentTime).sub(index.lastUpdate));
                        
                                // get interest increase for suppliers
                                uint256 supplyInterest;
                                if (Types.isZero(supplyWei)) {
                                    supplyInterest = 0;
                                } else {
                                    supplyInterest = Decimal.mul(borrowInterest, earningsRate);
                                    if (borrowWei.value < supplyWei.value) {
                                        supplyInterest = Math.getPartial(supplyInterest, borrowWei.value, supplyWei.value);
                                    }
                                }
                                assert(supplyInterest <= borrowInterest);
                        
                                return Index({
                                    borrow: Math.getPartial(index.borrow, borrowInterest, BASE).add(index.borrow).to96(),
                                    supply: Math.getPartial(index.supply, supplyInterest, BASE).add(index.supply).to96(),
                                    lastUpdate: currentTime
                                });
                            }
                        
                            function newIndex()
                                internal
                                view
                                returns (Index memory)
                            {
                                return Index({
                                    borrow: BASE,
                                    supply: BASE,
                                    lastUpdate: Time.currentTime()
                                });
                            }
                        
                            /*
                             * Convert a principal amount to a token amount given an index.
                             */
                            function parToWei(
                                Types.Par memory input,
                                Index memory index
                            )
                                internal
                                pure
                                returns (Types.Wei memory)
                            {
                                uint256 inputValue = uint256(input.value);
                                if (input.sign) {
                                    return Types.Wei({
                                        sign: true,
                                        value: inputValue.getPartial(index.supply, BASE)
                                    });
                                } else {
                                    return Types.Wei({
                                        sign: false,
                                        value: inputValue.getPartialRoundUp(index.borrow, BASE)
                                    });
                                }
                            }
                        
                            /*
                             * Convert a token amount to a principal amount given an index.
                             */
                            function weiToPar(
                                Types.Wei memory input,
                                Index memory index
                            )
                                internal
                                pure
                                returns (Types.Par memory)
                            {
                                if (input.sign) {
                                    return Types.Par({
                                        sign: true,
                                        value: input.value.getPartial(BASE, index.supply).to128()
                                    });
                                } else {
                                    return Types.Par({
                                        sign: false,
                                        value: input.value.getPartialRoundUp(BASE, index.borrow).to128()
                                    });
                                }
                            }
                        
                            /*
                             * Convert the total supply and borrow principal amounts of a market to total supply and borrow
                             * token amounts.
                             */
                            function totalParToWei(
                                Types.TotalPar memory totalPar,
                                Index memory index
                            )
                                internal
                                pure
                                returns (Types.Wei memory, Types.Wei memory)
                            {
                                Types.Par memory supplyPar = Types.Par({
                                    sign: true,
                                    value: totalPar.supply
                                });
                                Types.Par memory borrowPar = Types.Par({
                                    sign: false,
                                    value: totalPar.borrow
                                });
                                Types.Wei memory supplyWei = parToWei(supplyPar, index);
                                Types.Wei memory borrowWei = parToWei(borrowPar, index);
                                return (supplyWei, borrowWei);
                            }
                        }
                        
                        // File: contracts/protocol/interfaces/IErc20.sol
                        
                        /**
                         * @title IErc20
                         * @author dYdX
                         *
                         * Interface for using ERC20 Tokens. We have to use a special interface to call ERC20 functions so
                         * that we don't automatically revert when calling non-compliant tokens that have no return value for
                         * transfer(), transferFrom(), or approve().
                         */
                        interface IErc20 {
                            event Transfer(
                                address indexed from,
                                address indexed to,
                                uint256 value
                            );
                        
                            event Approval(
                                address indexed owner,
                                address indexed spender,
                                uint256 value
                            );
                        
                            function totalSupply(
                            )
                                external
                                view
                                returns (uint256);
                        
                            function balanceOf(
                                address who
                            )
                                external
                                view
                                returns (uint256);
                        
                            function allowance(
                                address owner,
                                address spender
                            )
                                external
                                view
                                returns (uint256);
                        
                            function transfer(
                                address to,
                                uint256 value
                            )
                                external;
                        
                            function transferFrom(
                                address from,
                                address to,
                                uint256 value
                            )
                                external;
                        
                            function approve(
                                address spender,
                                uint256 value
                            )
                                external;
                        
                            function name()
                                external
                                view
                                returns (string memory);
                        
                            function symbol()
                                external
                                view
                                returns (string memory);
                        
                            function decimals()
                                external
                                view
                                returns (uint8);
                        }
                        
                        // File: contracts/protocol/lib/Token.sol
                        
                        /**
                         * @title Token
                         * @author dYdX
                         *
                         * This library contains basic functions for interacting with ERC20 tokens. Modified to work with
                         * tokens that don't adhere strictly to the ERC20 standard (for example tokens that don't return a
                         * boolean value on success).
                         */
                        library Token {
                        
                            // ============ Constants ============
                        
                            bytes32 constant FILE = "Token";
                        
                            // ============ Library Functions ============
                        
                            function balanceOf(
                                address token,
                                address owner
                            )
                                internal
                                view
                                returns (uint256)
                            {
                                return IErc20(token).balanceOf(owner);
                            }
                        
                            function allowance(
                                address token,
                                address owner,
                                address spender
                            )
                                internal
                                view
                                returns (uint256)
                            {
                                return IErc20(token).allowance(owner, spender);
                            }
                        
                            function approve(
                                address token,
                                address spender,
                                uint256 amount
                            )
                                internal
                            {
                                IErc20(token).approve(spender, amount);
                        
                                Require.that(
                                    checkSuccess(),
                                    FILE,
                                    "Approve failed"
                                );
                            }
                        
                            function approveMax(
                                address token,
                                address spender
                            )
                                internal
                            {
                                approve(
                                    token,
                                    spender,
                                    uint256(-1)
                                );
                            }
                        
                            function transfer(
                                address token,
                                address to,
                                uint256 amount
                            )
                                internal
                            {
                                if (amount == 0 || to == address(this)) {
                                    return;
                                }
                        
                                IErc20(token).transfer(to, amount);
                        
                                Require.that(
                                    checkSuccess(),
                                    FILE,
                                    "Transfer failed"
                                );
                            }
                        
                            function transferFrom(
                                address token,
                                address from,
                                address to,
                                uint256 amount
                            )
                                internal
                            {
                                if (amount == 0 || to == from) {
                                    return;
                                }
                        
                                IErc20(token).transferFrom(from, to, amount);
                        
                                Require.that(
                                    checkSuccess(),
                                    FILE,
                                    "TransferFrom failed"
                                );
                            }
                        
                            // ============ Private Functions ============
                        
                            /**
                             * Check the return value of the previous function up to 32 bytes. Return true if the previous
                             * function returned 0 bytes or 32 bytes that are not all-zero.
                             */
                            function checkSuccess(
                            )
                                private
                                pure
                                returns (bool)
                            {
                                uint256 returnValue = 0;
                        
                                /* solium-disable-next-line security/no-inline-assembly */
                                assembly {
                                    // check number of bytes returned from last function call
                                    switch returndatasize
                        
                                    // no bytes returned: assume success
                                    case 0x0 {
                                        returnValue := 1
                                    }
                        
                                    // 32 bytes returned: check if non-zero
                                    case 0x20 {
                                        // copy 32 bytes into scratch space
                                        returndatacopy(0x0, 0x0, 0x20)
                        
                                        // load those bytes into returnValue
                                        returnValue := mload(0x0)
                                    }
                        
                                    // not sure what was returned: don't mark as success
                                    default { }
                                }
                        
                                return returnValue != 0;
                            }
                        }
                        
                        // File: contracts/protocol/interfaces/IInterestSetter.sol
                        
                        /**
                         * @title IInterestSetter
                         * @author dYdX
                         *
                         * Interface that Interest Setters for Solo must implement in order to report interest rates.
                         */
                        interface IInterestSetter {
                        
                            // ============ Public Functions ============
                        
                            /**
                             * Get the interest rate of a token given some borrowed and supplied amounts
                             *
                             * @param  token        The address of the ERC20 token for the market
                             * @param  borrowWei    The total borrowed token amount for the market
                             * @param  supplyWei    The total supplied token amount for the market
                             * @return              The interest rate per second
                             */
                            function getInterestRate(
                                address token,
                                uint256 borrowWei,
                                uint256 supplyWei
                            )
                                external
                                view
                                returns (Interest.Rate memory);
                        }
                        
                        // File: contracts/protocol/interfaces/IPriceOracle.sol
                        
                        /**
                         * @title IPriceOracle
                         * @author dYdX
                         *
                         * Interface that Price Oracles for Solo must implement in order to report prices.
                         */
                        contract IPriceOracle {
                        
                            // ============ Constants ============
                        
                            uint256 public constant ONE_DOLLAR = 10 ** 36;
                        
                            // ============ Public Functions ============
                        
                            /**
                             * Get the price of a token
                             *
                             * @param  token  The ERC20 token address of the market
                             * @return        The USD price of a base unit of the token, then multiplied by 10^36.
                             *                So a USD-stable coin with 18 decimal places would return 10^18.
                             *                This is the price of the base unit rather than the price of a "human-readable"
                             *                token amount. Every ERC20 may have a different number of decimals.
                             */
                            function getPrice(
                                address token
                            )
                                public
                                view
                                returns (Monetary.Price memory);
                        }
                        
                        // File: contracts/protocol/lib/Storage.sol
                        
                        /**
                         * @title Storage
                         * @author dYdX
                         *
                         * Functions for reading, writing, and verifying state in Solo
                         */
                        library Storage {
                            using Cache for Cache.MarketCache;
                            using Storage for Storage.State;
                            using Math for uint256;
                            using Types for Types.Par;
                            using Types for Types.Wei;
                            using SafeMath for uint256;
                        
                            // ============ Constants ============
                        
                            bytes32 constant FILE = "Storage";
                        
                            // ============ Structs ============
                        
                            // All information necessary for tracking a market
                            struct Market {
                                // Contract address of the associated ERC20 token
                                address token;
                        
                                // Total aggregated supply and borrow amount of the entire market
                                Types.TotalPar totalPar;
                        
                                // Interest index of the market
                                Interest.Index index;
                        
                                // Contract address of the price oracle for this market
                                IPriceOracle priceOracle;
                        
                                // Contract address of the interest setter for this market
                                IInterestSetter interestSetter;
                        
                                // Multiplier on the marginRatio for this market
                                Decimal.D256 marginPremium;
                        
                                // Multiplier on the liquidationSpread for this market
                                Decimal.D256 spreadPremium;
                        
                                // Whether additional borrows are allowed for this market
                                bool isClosing;
                            }
                        
                            // The global risk parameters that govern the health and security of the system
                            struct RiskParams {
                                // Required ratio of over-collateralization
                                Decimal.D256 marginRatio;
                        
                                // Percentage penalty incurred by liquidated accounts
                                Decimal.D256 liquidationSpread;
                        
                                // Percentage of the borrower's interest fee that gets passed to the suppliers
                                Decimal.D256 earningsRate;
                        
                                // The minimum absolute borrow value of an account
                                // There must be sufficient incentivize to liquidate undercollateralized accounts
                                Monetary.Value minBorrowedValue;
                            }
                        
                            // The maximum RiskParam values that can be set
                            struct RiskLimits {
                                uint64 marginRatioMax;
                                uint64 liquidationSpreadMax;
                                uint64 earningsRateMax;
                                uint64 marginPremiumMax;
                                uint64 spreadPremiumMax;
                                uint128 minBorrowedValueMax;
                            }
                        
                            // The entire storage state of Solo
                            struct State {
                                // number of markets
                                uint256 numMarkets;
                        
                                // marketId => Market
                                mapping (uint256 => Market) markets;
                        
                                // owner => account number => Account
                                mapping (address => mapping (uint256 => Account.Storage)) accounts;
                        
                                // Addresses that can control other users accounts
                                mapping (address => mapping (address => bool)) operators;
                        
                                // Addresses that can control all users accounts
                                mapping (address => bool) globalOperators;
                        
                                // mutable risk parameters of the system
                                RiskParams riskParams;
                        
                                // immutable risk limits of the system
                                RiskLimits riskLimits;
                            }
                        
                            // ============ Functions ============
                        
                            function getToken(
                                Storage.State storage state,
                                uint256 marketId
                            )
                                internal
                                view
                                returns (address)
                            {
                                return state.markets[marketId].token;
                            }
                        
                            function getTotalPar(
                                Storage.State storage state,
                                uint256 marketId
                            )
                                internal
                                view
                                returns (Types.TotalPar memory)
                            {
                                return state.markets[marketId].totalPar;
                            }
                        
                            function getIndex(
                                Storage.State storage state,
                                uint256 marketId
                            )
                                internal
                                view
                                returns (Interest.Index memory)
                            {
                                return state.markets[marketId].index;
                            }
                        
                            function getNumExcessTokens(
                                Storage.State storage state,
                                uint256 marketId
                            )
                                internal
                                view
                                returns (Types.Wei memory)
                            {
                                Interest.Index memory index = state.getIndex(marketId);
                                Types.TotalPar memory totalPar = state.getTotalPar(marketId);
                        
                                address token = state.getToken(marketId);
                        
                                Types.Wei memory balanceWei = Types.Wei({
                                    sign: true,
                                    value: Token.balanceOf(token, address(this))
                                });
                        
                                (
                                    Types.Wei memory supplyWei,
                                    Types.Wei memory borrowWei
                                ) = Interest.totalParToWei(totalPar, index);
                        
                                // borrowWei is negative, so subtracting it makes the value more positive
                                return balanceWei.sub(borrowWei).sub(supplyWei);
                            }
                        
                            function getStatus(
                                Storage.State storage state,
                                Account.Info memory account
                            )
                                internal
                                view
                                returns (Account.Status)
                            {
                                return state.accounts[account.owner][account.number].status;
                            }
                        
                            function getPar(
                                Storage.State storage state,
                                Account.Info memory account,
                                uint256 marketId
                            )
                                internal
                                view
                                returns (Types.Par memory)
                            {
                                return state.accounts[account.owner][account.number].balances[marketId];
                            }
                        
                            function getWei(
                                Storage.State storage state,
                                Account.Info memory account,
                                uint256 marketId
                            )
                                internal
                                view
                                returns (Types.Wei memory)
                            {
                                Types.Par memory par = state.getPar(account, marketId);
                        
                                if (par.isZero()) {
                                    return Types.zeroWei();
                                }
                        
                                Interest.Index memory index = state.getIndex(marketId);
                                return Interest.parToWei(par, index);
                            }
                        
                            function getLiquidationSpreadForPair(
                                Storage.State storage state,
                                uint256 heldMarketId,
                                uint256 owedMarketId
                            )
                                internal
                                view
                                returns (Decimal.D256 memory)
                            {
                                uint256 result = state.riskParams.liquidationSpread.value;
                                result = Decimal.mul(result, Decimal.onePlus(state.markets[heldMarketId].spreadPremium));
                                result = Decimal.mul(result, Decimal.onePlus(state.markets[owedMarketId].spreadPremium));
                                return Decimal.D256({
                                    value: result
                                });
                            }
                        
                            function fetchNewIndex(
                                Storage.State storage state,
                                uint256 marketId,
                                Interest.Index memory index
                            )
                                internal
                                view
                                returns (Interest.Index memory)
                            {
                                Interest.Rate memory rate = state.fetchInterestRate(marketId, index);
                        
                                return Interest.calculateNewIndex(
                                    index,
                                    rate,
                                    state.getTotalPar(marketId),
                                    state.riskParams.earningsRate
                                );
                            }
                        
                            function fetchInterestRate(
                                Storage.State storage state,
                                uint256 marketId,
                                Interest.Index memory index
                            )
                                internal
                                view
                                returns (Interest.Rate memory)
                            {
                                Types.TotalPar memory totalPar = state.getTotalPar(marketId);
                                (
                                    Types.Wei memory supplyWei,
                                    Types.Wei memory borrowWei
                                ) = Interest.totalParToWei(totalPar, index);
                        
                                Interest.Rate memory rate = state.markets[marketId].interestSetter.getInterestRate(
                                    state.getToken(marketId),
                                    borrowWei.value,
                                    supplyWei.value
                                );
                        
                                return rate;
                            }
                        
                            function fetchPrice(
                                Storage.State storage state,
                                uint256 marketId
                            )
                                internal
                                view
                                returns (Monetary.Price memory)
                            {
                                IPriceOracle oracle = IPriceOracle(state.markets[marketId].priceOracle);
                                Monetary.Price memory price = oracle.getPrice(state.getToken(marketId));
                                Require.that(
                                    price.value != 0,
                                    FILE,
                                    "Price cannot be zero",
                                    marketId
                                );
                                return price;
                            }
                        
                            function getAccountValues(
                                Storage.State storage state,
                                Account.Info memory account,
                                Cache.MarketCache memory cache,
                                bool adjustForLiquidity
                            )
                                internal
                                view
                                returns (Monetary.Value memory, Monetary.Value memory)
                            {
                                Monetary.Value memory supplyValue;
                                Monetary.Value memory borrowValue;
                        
                                uint256 numMarkets = cache.getNumMarkets();
                                for (uint256 m = 0; m < numMarkets; m++) {
                                    if (!cache.hasMarket(m)) {
                                        continue;
                                    }
                        
                                    Types.Wei memory userWei = state.getWei(account, m);
                        
                                    if (userWei.isZero()) {
                                        continue;
                                    }
                        
                                    uint256 assetValue = userWei.value.mul(cache.getPrice(m).value);
                                    Decimal.D256 memory adjust = Decimal.one();
                                    if (adjustForLiquidity) {
                                        adjust = Decimal.onePlus(state.markets[m].marginPremium);
                                    }
                        
                                    if (userWei.sign) {
                                        supplyValue.value = supplyValue.value.add(Decimal.div(assetValue, adjust));
                                    } else {
                                        borrowValue.value = borrowValue.value.add(Decimal.mul(assetValue, adjust));
                                    }
                                }
                        
                                return (supplyValue, borrowValue);
                            }
                        
                            function isCollateralized(
                                Storage.State storage state,
                                Account.Info memory account,
                                Cache.MarketCache memory cache,
                                bool requireMinBorrow
                            )
                                internal
                                view
                                returns (bool)
                            {
                                // get account values (adjusted for liquidity)
                                (
                                    Monetary.Value memory supplyValue,
                                    Monetary.Value memory borrowValue
                                ) = state.getAccountValues(account, cache, /* adjustForLiquidity = */ true);
                        
                                if (borrowValue.value == 0) {
                                    return true;
                                }
                        
                                if (requireMinBorrow) {
                                    Require.that(
                                        borrowValue.value >= state.riskParams.minBorrowedValue.value,
                                        FILE,
                                        "Borrow value too low",
                                        account.owner,
                                        account.number,
                                        borrowValue.value
                                    );
                                }
                        
                                uint256 requiredMargin = Decimal.mul(borrowValue.value, state.riskParams.marginRatio);
                        
                                return supplyValue.value >= borrowValue.value.add(requiredMargin);
                            }
                        
                            function isGlobalOperator(
                                Storage.State storage state,
                                address operator
                            )
                                internal
                                view
                                returns (bool)
                            {
                                return state.globalOperators[operator];
                            }
                        
                            function isLocalOperator(
                                Storage.State storage state,
                                address owner,
                                address operator
                            )
                                internal
                                view
                                returns (bool)
                            {
                                return state.operators[owner][operator];
                            }
                        
                            function requireIsOperator(
                                Storage.State storage state,
                                Account.Info memory account,
                                address operator
                            )
                                internal
                                view
                            {
                                bool isValidOperator =
                                    operator == account.owner
                                    || state.isGlobalOperator(operator)
                                    || state.isLocalOperator(account.owner, operator);
                        
                                Require.that(
                                    isValidOperator,
                                    FILE,
                                    "Unpermissioned operator",
                                    operator
                                );
                            }
                        
                            /**
                             * Determine and set an account's balance based on the intended balance change. Return the
                             * equivalent amount in wei
                             */
                            function getNewParAndDeltaWei(
                                Storage.State storage state,
                                Account.Info memory account,
                                uint256 marketId,
                                Types.AssetAmount memory amount
                            )
                                internal
                                view
                                returns (Types.Par memory, Types.Wei memory)
                            {
                                Types.Par memory oldPar = state.getPar(account, marketId);
                        
                                if (amount.value == 0 && amount.ref == Types.AssetReference.Delta) {
                                    return (oldPar, Types.zeroWei());
                                }
                        
                                Interest.Index memory index = state.getIndex(marketId);
                                Types.Wei memory oldWei = Interest.parToWei(oldPar, index);
                                Types.Par memory newPar;
                                Types.Wei memory deltaWei;
                        
                                if (amount.denomination == Types.AssetDenomination.Wei) {
                                    deltaWei = Types.Wei({
                                        sign: amount.sign,
                                        value: amount.value
                                    });
                                    if (amount.ref == Types.AssetReference.Target) {
                                        deltaWei = deltaWei.sub(oldWei);
                                    }
                                    newPar = Interest.weiToPar(oldWei.add(deltaWei), index);
                                } else { // AssetDenomination.Par
                                    newPar = Types.Par({
                                        sign: amount.sign,
                                        value: amount.value.to128()
                                    });
                                    if (amount.ref == Types.AssetReference.Delta) {
                                        newPar = oldPar.add(newPar);
                                    }
                                    deltaWei = Interest.parToWei(newPar, index).sub(oldWei);
                                }
                        
                                return (newPar, deltaWei);
                            }
                        
                            function getNewParAndDeltaWeiForLiquidation(
                                Storage.State storage state,
                                Account.Info memory account,
                                uint256 marketId,
                                Types.AssetAmount memory amount
                            )
                                internal
                                view
                                returns (Types.Par memory, Types.Wei memory)
                            {
                                Types.Par memory oldPar = state.getPar(account, marketId);
                        
                                Require.that(
                                    !oldPar.isPositive(),
                                    FILE,
                                    "Owed balance cannot be positive",
                                    account.owner,
                                    account.number,
                                    marketId
                                );
                        
                                (
                                    Types.Par memory newPar,
                                    Types.Wei memory deltaWei
                                ) = state.getNewParAndDeltaWei(
                                    account,
                                    marketId,
                                    amount
                                );
                        
                                // if attempting to over-repay the owed asset, bound it by the maximum
                                if (newPar.isPositive()) {
                                    newPar = Types.zeroPar();
                                    deltaWei = state.getWei(account, marketId).negative();
                                }
                        
                                Require.that(
                                    !deltaWei.isNegative() && oldPar.value >= newPar.value,
                                    FILE,
                                    "Owed balance cannot increase",
                                    account.owner,
                                    account.number,
                                    marketId
                                );
                        
                                // if not paying back enough wei to repay any par, then bound wei to zero
                                if (oldPar.equals(newPar)) {
                                    deltaWei = Types.zeroWei();
                                }
                        
                                return (newPar, deltaWei);
                            }
                        
                            function isVaporizable(
                                Storage.State storage state,
                                Account.Info memory account,
                                Cache.MarketCache memory cache
                            )
                                internal
                                view
                                returns (bool)
                            {
                                bool hasNegative = false;
                                uint256 numMarkets = cache.getNumMarkets();
                                for (uint256 m = 0; m < numMarkets; m++) {
                                    if (!cache.hasMarket(m)) {
                                        continue;
                                    }
                                    Types.Par memory par = state.getPar(account, m);
                                    if (par.isZero()) {
                                        continue;
                                    } else if (par.sign) {
                                        return false;
                                    } else {
                                        hasNegative = true;
                                    }
                                }
                                return hasNegative;
                            }
                        
                            // =============== Setter Functions ===============
                        
                            function updateIndex(
                                Storage.State storage state,
                                uint256 marketId
                            )
                                internal
                                returns (Interest.Index memory)
                            {
                                Interest.Index memory index = state.getIndex(marketId);
                                if (index.lastUpdate == Time.currentTime()) {
                                    return index;
                                }
                                return state.markets[marketId].index = state.fetchNewIndex(marketId, index);
                            }
                        
                            function setStatus(
                                Storage.State storage state,
                                Account.Info memory account,
                                Account.Status status
                            )
                                internal
                            {
                                state.accounts[account.owner][account.number].status = status;
                            }
                        
                            function setPar(
                                Storage.State storage state,
                                Account.Info memory account,
                                uint256 marketId,
                                Types.Par memory newPar
                            )
                                internal
                            {
                                Types.Par memory oldPar = state.getPar(account, marketId);
                        
                                if (Types.equals(oldPar, newPar)) {
                                    return;
                                }
                        
                                // updateTotalPar
                                Types.TotalPar memory totalPar = state.getTotalPar(marketId);
                        
                                // roll-back oldPar
                                if (oldPar.sign) {
                                    totalPar.supply = uint256(totalPar.supply).sub(oldPar.value).to128();
                                } else {
                                    totalPar.borrow = uint256(totalPar.borrow).sub(oldPar.value).to128();
                                }
                        
                                // roll-forward newPar
                                if (newPar.sign) {
                                    totalPar.supply = uint256(totalPar.supply).add(newPar.value).to128();
                                } else {
                                    totalPar.borrow = uint256(totalPar.borrow).add(newPar.value).to128();
                                }
                        
                                state.markets[marketId].totalPar = totalPar;
                                state.accounts[account.owner][account.number].balances[marketId] = newPar;
                            }
                        
                            /**
                             * Determine and set an account's balance based on a change in wei
                             */
                            function setParFromDeltaWei(
                                Storage.State storage state,
                                Account.Info memory account,
                                uint256 marketId,
                                Types.Wei memory deltaWei
                            )
                                internal
                            {
                                if (deltaWei.isZero()) {
                                    return;
                                }
                                Interest.Index memory index = state.getIndex(marketId);
                                Types.Wei memory oldWei = state.getWei(account, marketId);
                                Types.Wei memory newWei = oldWei.add(deltaWei);
                                Types.Par memory newPar = Interest.weiToPar(newWei, index);
                                state.setPar(
                                    account,
                                    marketId,
                                    newPar
                                );
                            }
                        }
                        
                        // File: contracts/protocol/State.sol
                        
                        /**
                         * @title State
                         * @author dYdX
                         *
                         * Base-level contract that holds the state of Solo
                         */
                        contract State
                        {
                            Storage.State g_state;
                        }
                        
                        // File: contracts/protocol/impl/AdminImpl.sol
                        
                        /**
                         * @title AdminImpl
                         * @author dYdX
                         *
                         * Administrative functions to keep the protocol updated
                         */
                        library AdminImpl {
                            using Storage for Storage.State;
                            using Token for address;
                            using Types for Types.Wei;
                        
                            // ============ Constants ============
                        
                            bytes32 constant FILE = "AdminImpl";
                        
                            // ============ Events ============
                        
                            event LogWithdrawExcessTokens(
                                address token,
                                uint256 amount
                            );
                        
                            event LogAddMarket(
                                uint256 marketId,
                                address token
                            );
                        
                            event LogSetIsClosing(
                                uint256 marketId,
                                bool isClosing
                            );
                        
                            event LogSetPriceOracle(
                                uint256 marketId,
                                address priceOracle
                            );
                        
                            event LogSetInterestSetter(
                                uint256 marketId,
                                address interestSetter
                            );
                        
                            event LogSetMarginPremium(
                                uint256 marketId,
                                Decimal.D256 marginPremium
                            );
                        
                            event LogSetSpreadPremium(
                                uint256 marketId,
                                Decimal.D256 spreadPremium
                            );
                        
                            event LogSetMarginRatio(
                                Decimal.D256 marginRatio
                            );
                        
                            event LogSetLiquidationSpread(
                                Decimal.D256 liquidationSpread
                            );
                        
                            event LogSetEarningsRate(
                                Decimal.D256 earningsRate
                            );
                        
                            event LogSetMinBorrowedValue(
                                Monetary.Value minBorrowedValue
                            );
                        
                            event LogSetGlobalOperator(
                                address operator,
                                bool approved
                            );
                        
                            // ============ Token Functions ============
                        
                            function ownerWithdrawExcessTokens(
                                Storage.State storage state,
                                uint256 marketId,
                                address recipient
                            )
                                public
                                returns (uint256)
                            {
                                _validateMarketId(state, marketId);
                                Types.Wei memory excessWei = state.getNumExcessTokens(marketId);
                        
                                Require.that(
                                    !excessWei.isNegative(),
                                    FILE,
                                    "Negative excess"
                                );
                        
                                address token = state.getToken(marketId);
                        
                                uint256 actualBalance = token.balanceOf(address(this));
                                if (excessWei.value > actualBalance) {
                                    excessWei.value = actualBalance;
                                }
                        
                                token.transfer(recipient, excessWei.value);
                        
                                emit LogWithdrawExcessTokens(token, excessWei.value);
                        
                                return excessWei.value;
                            }
                        
                            function ownerWithdrawUnsupportedTokens(
                                Storage.State storage state,
                                address token,
                                address recipient
                            )
                                public
                                returns (uint256)
                            {
                                _requireNoMarket(state, token);
                        
                                uint256 balance = token.balanceOf(address(this));
                                token.transfer(recipient, balance);
                        
                                emit LogWithdrawExcessTokens(token, balance);
                        
                                return balance;
                            }
                        
                            // ============ Market Functions ============
                        
                            function ownerAddMarket(
                                Storage.State storage state,
                                address token,
                                IPriceOracle priceOracle,
                                IInterestSetter interestSetter,
                                Decimal.D256 memory marginPremium,
                                Decimal.D256 memory spreadPremium
                            )
                                public
                            {
                                _requireNoMarket(state, token);
                        
                                uint256 marketId = state.numMarkets;
                        
                                state.numMarkets++;
                                state.markets[marketId].token = token;
                                state.markets[marketId].index = Interest.newIndex();
                        
                                emit LogAddMarket(marketId, token);
                        
                                _setPriceOracle(state, marketId, priceOracle);
                                _setInterestSetter(state, marketId, interestSetter);
                                _setMarginPremium(state, marketId, marginPremium);
                                _setSpreadPremium(state, marketId, spreadPremium);
                            }
                        
                            function ownerSetIsClosing(
                                Storage.State storage state,
                                uint256 marketId,
                                bool isClosing
                            )
                                public
                            {
                                _validateMarketId(state, marketId);
                                state.markets[marketId].isClosing = isClosing;
                                emit LogSetIsClosing(marketId, isClosing);
                            }
                        
                            function ownerSetPriceOracle(
                                Storage.State storage state,
                                uint256 marketId,
                                IPriceOracle priceOracle
                            )
                                public
                            {
                                _validateMarketId(state, marketId);
                                _setPriceOracle(state, marketId, priceOracle);
                            }
                        
                            function ownerSetInterestSetter(
                                Storage.State storage state,
                                uint256 marketId,
                                IInterestSetter interestSetter
                            )
                                public
                            {
                                _validateMarketId(state, marketId);
                                _setInterestSetter(state, marketId, interestSetter);
                            }
                        
                            function ownerSetMarginPremium(
                                Storage.State storage state,
                                uint256 marketId,
                                Decimal.D256 memory marginPremium
                            )
                                public
                            {
                                _validateMarketId(state, marketId);
                                _setMarginPremium(state, marketId, marginPremium);
                            }
                        
                            function ownerSetSpreadPremium(
                                Storage.State storage state,
                                uint256 marketId,
                                Decimal.D256 memory spreadPremium
                            )
                                public
                            {
                                _validateMarketId(state, marketId);
                                _setSpreadPremium(state, marketId, spreadPremium);
                            }
                        
                            // ============ Risk Functions ============
                        
                            function ownerSetMarginRatio(
                                Storage.State storage state,
                                Decimal.D256 memory ratio
                            )
                                public
                            {
                                Require.that(
                                    ratio.value <= state.riskLimits.marginRatioMax,
                                    FILE,
                                    "Ratio too high"
                                );
                                Require.that(
                                    ratio.value > state.riskParams.liquidationSpread.value,
                                    FILE,
                                    "Ratio cannot be <= spread"
                                );
                                state.riskParams.marginRatio = ratio;
                                emit LogSetMarginRatio(ratio);
                            }
                        
                            function ownerSetLiquidationSpread(
                                Storage.State storage state,
                                Decimal.D256 memory spread
                            )
                                public
                            {
                                Require.that(
                                    spread.value <= state.riskLimits.liquidationSpreadMax,
                                    FILE,
                                    "Spread too high"
                                );
                                Require.that(
                                    spread.value < state.riskParams.marginRatio.value,
                                    FILE,
                                    "Spread cannot be >= ratio"
                                );
                                state.riskParams.liquidationSpread = spread;
                                emit LogSetLiquidationSpread(spread);
                            }
                        
                            function ownerSetEarningsRate(
                                Storage.State storage state,
                                Decimal.D256 memory earningsRate
                            )
                                public
                            {
                                Require.that(
                                    earningsRate.value <= state.riskLimits.earningsRateMax,
                                    FILE,
                                    "Rate too high"
                                );
                                state.riskParams.earningsRate = earningsRate;
                                emit LogSetEarningsRate(earningsRate);
                            }
                        
                            function ownerSetMinBorrowedValue(
                                Storage.State storage state,
                                Monetary.Value memory minBorrowedValue
                            )
                                public
                            {
                                Require.that(
                                    minBorrowedValue.value <= state.riskLimits.minBorrowedValueMax,
                                    FILE,
                                    "Value too high"
                                );
                                state.riskParams.minBorrowedValue = minBorrowedValue;
                                emit LogSetMinBorrowedValue(minBorrowedValue);
                            }
                        
                            // ============ Global Operator Functions ============
                        
                            function ownerSetGlobalOperator(
                                Storage.State storage state,
                                address operator,
                                bool approved
                            )
                                public
                            {
                                state.globalOperators[operator] = approved;
                        
                                emit LogSetGlobalOperator(operator, approved);
                            }
                        
                            // ============ Private Functions ============
                        
                            function _setPriceOracle(
                                Storage.State storage state,
                                uint256 marketId,
                                IPriceOracle priceOracle
                            )
                                private
                            {
                                // require oracle can return non-zero price
                                address token = state.markets[marketId].token;
                        
                                Require.that(
                                    priceOracle.getPrice(token).value != 0,
                                    FILE,
                                    "Invalid oracle price"
                                );
                        
                                state.markets[marketId].priceOracle = priceOracle;
                        
                                emit LogSetPriceOracle(marketId, address(priceOracle));
                            }
                        
                            function _setInterestSetter(
                                Storage.State storage state,
                                uint256 marketId,
                                IInterestSetter interestSetter
                            )
                                private
                            {
                                // ensure interestSetter can return a value without reverting
                                address token = state.markets[marketId].token;
                                interestSetter.getInterestRate(token, 0, 0);
                        
                                state.markets[marketId].interestSetter = interestSetter;
                        
                                emit LogSetInterestSetter(marketId, address(interestSetter));
                            }
                        
                            function _setMarginPremium(
                                Storage.State storage state,
                                uint256 marketId,
                                Decimal.D256 memory marginPremium
                            )
                                private
                            {
                                Require.that(
                                    marginPremium.value <= state.riskLimits.marginPremiumMax,
                                    FILE,
                                    "Margin premium too high"
                                );
                                state.markets[marketId].marginPremium = marginPremium;
                        
                                emit LogSetMarginPremium(marketId, marginPremium);
                            }
                        
                            function _setSpreadPremium(
                                Storage.State storage state,
                                uint256 marketId,
                                Decimal.D256 memory spreadPremium
                            )
                                private
                            {
                                Require.that(
                                    spreadPremium.value <= state.riskLimits.spreadPremiumMax,
                                    FILE,
                                    "Spread premium too high"
                                );
                                state.markets[marketId].spreadPremium = spreadPremium;
                        
                                emit LogSetSpreadPremium(marketId, spreadPremium);
                            }
                        
                            function _requireNoMarket(
                                Storage.State storage state,
                                address token
                            )
                                private
                                view
                            {
                                uint256 numMarkets = state.numMarkets;
                        
                                bool marketExists = false;
                        
                                for (uint256 m = 0; m < numMarkets; m++) {
                                    if (state.markets[m].token == token) {
                                        marketExists = true;
                                        break;
                                    }
                                }
                        
                                Require.that(
                                    !marketExists,
                                    FILE,
                                    "Market exists"
                                );
                            }
                        
                            function _validateMarketId(
                                Storage.State storage state,
                                uint256 marketId
                            )
                                private
                                view
                            {
                                Require.that(
                                    marketId < state.numMarkets,
                                    FILE,
                                    "Market OOB",
                                    marketId
                                );
                            }
                        }
                        
                        // File: contracts/protocol/Admin.sol
                        
                        /**
                         * @title Admin
                         * @author dYdX
                         *
                         * Public functions that allow the privileged owner address to manage Solo
                         */
                        contract Admin is
                            State,
                            Ownable,
                            ReentrancyGuard
                        {
                            // ============ Token Functions ============
                        
                            /**
                             * Withdraw an ERC20 token for which there is an associated market. Only excess tokens can be
                             * withdrawn. The number of excess tokens is calculated by taking the current number of tokens
                             * held in Solo, adding the number of tokens owed to Solo by borrowers, and subtracting the
                             * number of tokens owed to suppliers by Solo.
                             */
                            function ownerWithdrawExcessTokens(
                                uint256 marketId,
                                address recipient
                            )
                                public
                                onlyOwner
                                nonReentrant
                                returns (uint256)
                            {
                                return AdminImpl.ownerWithdrawExcessTokens(
                                    g_state,
                                    marketId,
                                    recipient
                                );
                            }
                        
                            /**
                             * Withdraw an ERC20 token for which there is no associated market.
                             */
                            function ownerWithdrawUnsupportedTokens(
                                address token,
                                address recipient
                            )
                                public
                                onlyOwner
                                nonReentrant
                                returns (uint256)
                            {
                                return AdminImpl.ownerWithdrawUnsupportedTokens(
                                    g_state,
                                    token,
                                    recipient
                                );
                            }
                        
                            // ============ Market Functions ============
                        
                            /**
                             * Add a new market to Solo. Must be for a previously-unsupported ERC20 token.
                             */
                            function ownerAddMarket(
                                address token,
                                IPriceOracle priceOracle,
                                IInterestSetter interestSetter,
                                Decimal.D256 memory marginPremium,
                                Decimal.D256 memory spreadPremium
                            )
                                public
                                onlyOwner
                                nonReentrant
                            {
                                AdminImpl.ownerAddMarket(
                                    g_state,
                                    token,
                                    priceOracle,
                                    interestSetter,
                                    marginPremium,
                                    spreadPremium
                                );
                            }
                        
                            /**
                             * Set (or unset) the status of a market to "closing". The borrowedValue of a market cannot
                             * increase while its status is "closing".
                             */
                            function ownerSetIsClosing(
                                uint256 marketId,
                                bool isClosing
                            )
                                public
                                onlyOwner
                                nonReentrant
                            {
                                AdminImpl.ownerSetIsClosing(
                                    g_state,
                                    marketId,
                                    isClosing
                                );
                            }
                        
                            /**
                             * Set the price oracle for a market.
                             */
                            function ownerSetPriceOracle(
                                uint256 marketId,
                                IPriceOracle priceOracle
                            )
                                public
                                onlyOwner
                                nonReentrant
                            {
                                AdminImpl.ownerSetPriceOracle(
                                    g_state,
                                    marketId,
                                    priceOracle
                                );
                            }
                        
                            /**
                             * Set the interest-setter for a market.
                             */
                            function ownerSetInterestSetter(
                                uint256 marketId,
                                IInterestSetter interestSetter
                            )
                                public
                                onlyOwner
                                nonReentrant
                            {
                                AdminImpl.ownerSetInterestSetter(
                                    g_state,
                                    marketId,
                                    interestSetter
                                );
                            }
                        
                            /**
                             * Set a premium on the minimum margin-ratio for a market. This makes it so that any positions
                             * that include this market require a higher collateralization to avoid being liquidated.
                             */
                            function ownerSetMarginPremium(
                                uint256 marketId,
                                Decimal.D256 memory marginPremium
                            )
                                public
                                onlyOwner
                                nonReentrant
                            {
                                AdminImpl.ownerSetMarginPremium(
                                    g_state,
                                    marketId,
                                    marginPremium
                                );
                            }
                        
                            /**
                             * Set a premium on the liquidation spread for a market. This makes it so that any liquidations
                             * that include this market have a higher spread than the global default.
                             */
                            function ownerSetSpreadPremium(
                                uint256 marketId,
                                Decimal.D256 memory spreadPremium
                            )
                                public
                                onlyOwner
                                nonReentrant
                            {
                                AdminImpl.ownerSetSpreadPremium(
                                    g_state,
                                    marketId,
                                    spreadPremium
                                );
                            }
                        
                            // ============ Risk Functions ============
                        
                            /**
                             * Set the global minimum margin-ratio that every position must maintain to prevent being
                             * liquidated.
                             */
                            function ownerSetMarginRatio(
                                Decimal.D256 memory ratio
                            )
                                public
                                onlyOwner
                                nonReentrant
                            {
                                AdminImpl.ownerSetMarginRatio(
                                    g_state,
                                    ratio
                                );
                            }
                        
                            /**
                             * Set the global liquidation spread. This is the spread between oracle prices that incentivizes
                             * the liquidation of risky positions.
                             */
                            function ownerSetLiquidationSpread(
                                Decimal.D256 memory spread
                            )
                                public
                                onlyOwner
                                nonReentrant
                            {
                                AdminImpl.ownerSetLiquidationSpread(
                                    g_state,
                                    spread
                                );
                            }
                        
                            /**
                             * Set the global earnings-rate variable that determines what percentage of the interest paid
                             * by borrowers gets passed-on to suppliers.
                             */
                            function ownerSetEarningsRate(
                                Decimal.D256 memory earningsRate
                            )
                                public
                                onlyOwner
                                nonReentrant
                            {
                                AdminImpl.ownerSetEarningsRate(
                                    g_state,
                                    earningsRate
                                );
                            }
                        
                            /**
                             * Set the global minimum-borrow value which is the minimum value of any new borrow on Solo.
                             */
                            function ownerSetMinBorrowedValue(
                                Monetary.Value memory minBorrowedValue
                            )
                                public
                                onlyOwner
                                nonReentrant
                            {
                                AdminImpl.ownerSetMinBorrowedValue(
                                    g_state,
                                    minBorrowedValue
                                );
                            }
                        
                            // ============ Global Operator Functions ============
                        
                            /**
                             * Approve (or disapprove) an address that is permissioned to be an operator for all accounts in
                             * Solo. Intended only to approve smart-contracts.
                             */
                            function ownerSetGlobalOperator(
                                address operator,
                                bool approved
                            )
                                public
                                onlyOwner
                                nonReentrant
                            {
                                AdminImpl.ownerSetGlobalOperator(
                                    g_state,
                                    operator,
                                    approved
                                );
                            }
                        }
                        
                        // File: contracts/protocol/Getters.sol
                        
                        /**
                         * @title Getters
                         * @author dYdX
                         *
                         * Public read-only functions that allow transparency into the state of Solo
                         */
                        contract Getters is
                            State
                        {
                            using Cache for Cache.MarketCache;
                            using Storage for Storage.State;
                            using Types for Types.Par;
                        
                            // ============ Constants ============
                        
                            bytes32 FILE = "Getters";
                        
                            // ============ Getters for Risk ============
                        
                            /**
                             * Get the global minimum margin-ratio that every position must maintain to prevent being
                             * liquidated.
                             *
                             * @return  The global margin-ratio
                             */
                            function getMarginRatio()
                                public
                                view
                                returns (Decimal.D256 memory)
                            {
                                return g_state.riskParams.marginRatio;
                            }
                        
                            /**
                             * Get the global liquidation spread. This is the spread between oracle prices that incentivizes
                             * the liquidation of risky positions.
                             *
                             * @return  The global liquidation spread
                             */
                            function getLiquidationSpread()
                                public
                                view
                                returns (Decimal.D256 memory)
                            {
                                return g_state.riskParams.liquidationSpread;
                            }
                        
                            /**
                             * Get the global earnings-rate variable that determines what percentage of the interest paid
                             * by borrowers gets passed-on to suppliers.
                             *
                             * @return  The global earnings rate
                             */
                            function getEarningsRate()
                                public
                                view
                                returns (Decimal.D256 memory)
                            {
                                return g_state.riskParams.earningsRate;
                            }
                        
                            /**
                             * Get the global minimum-borrow value which is the minimum value of any new borrow on Solo.
                             *
                             * @return  The global minimum borrow value
                             */
                            function getMinBorrowedValue()
                                public
                                view
                                returns (Monetary.Value memory)
                            {
                                return g_state.riskParams.minBorrowedValue;
                            }
                        
                            /**
                             * Get all risk parameters in a single struct.
                             *
                             * @return  All global risk parameters
                             */
                            function getRiskParams()
                                public
                                view
                                returns (Storage.RiskParams memory)
                            {
                                return g_state.riskParams;
                            }
                        
                            /**
                             * Get all risk parameter limits in a single struct. These are the maximum limits at which the
                             * risk parameters can be set by the admin of Solo.
                             *
                             * @return  All global risk parameter limnits
                             */
                            function getRiskLimits()
                                public
                                view
                                returns (Storage.RiskLimits memory)
                            {
                                return g_state.riskLimits;
                            }
                        
                            // ============ Getters for Markets ============
                        
                            /**
                             * Get the total number of markets.
                             *
                             * @return  The number of markets
                             */
                            function getNumMarkets()
                                public
                                view
                                returns (uint256)
                            {
                                return g_state.numMarkets;
                            }
                        
                            /**
                             * Get the ERC20 token address for a market.
                             *
                             * @param  marketId  The market to query
                             * @return           The token address
                             */
                            function getMarketTokenAddress(
                                uint256 marketId
                            )
                                public
                                view
                                returns (address)
                            {
                                _requireValidMarket(marketId);
                                return g_state.getToken(marketId);
                            }
                        
                            /**
                             * Get the total principal amounts (borrowed and supplied) for a market.
                             *
                             * @param  marketId  The market to query
                             * @return           The total principal amounts
                             */
                            function getMarketTotalPar(
                                uint256 marketId
                            )
                                public
                                view
                                returns (Types.TotalPar memory)
                            {
                                _requireValidMarket(marketId);
                                return g_state.getTotalPar(marketId);
                            }
                        
                            /**
                             * Get the most recently cached interest index for a market.
                             *
                             * @param  marketId  The market to query
                             * @return           The most recent index
                             */
                            function getMarketCachedIndex(
                                uint256 marketId
                            )
                                public
                                view
                                returns (Interest.Index memory)
                            {
                                _requireValidMarket(marketId);
                                return g_state.getIndex(marketId);
                            }
                        
                            /**
                             * Get the interest index for a market if it were to be updated right now.
                             *
                             * @param  marketId  The market to query
                             * @return           The estimated current index
                             */
                            function getMarketCurrentIndex(
                                uint256 marketId
                            )
                                public
                                view
                                returns (Interest.Index memory)
                            {
                                _requireValidMarket(marketId);
                                return g_state.fetchNewIndex(marketId, g_state.getIndex(marketId));
                            }
                        
                            /**
                             * Get the price oracle address for a market.
                             *
                             * @param  marketId  The market to query
                             * @return           The price oracle address
                             */
                            function getMarketPriceOracle(
                                uint256 marketId
                            )
                                public
                                view
                                returns (IPriceOracle)
                            {
                                _requireValidMarket(marketId);
                                return g_state.markets[marketId].priceOracle;
                            }
                        
                            /**
                             * Get the interest-setter address for a market.
                             *
                             * @param  marketId  The market to query
                             * @return           The interest-setter address
                             */
                            function getMarketInterestSetter(
                                uint256 marketId
                            )
                                public
                                view
                                returns (IInterestSetter)
                            {
                                _requireValidMarket(marketId);
                                return g_state.markets[marketId].interestSetter;
                            }
                        
                            /**
                             * Get the margin premium for a market. A margin premium makes it so that any positions that
                             * include the market require a higher collateralization to avoid being liquidated.
                             *
                             * @param  marketId  The market to query
                             * @return           The market's margin premium
                             */
                            function getMarketMarginPremium(
                                uint256 marketId
                            )
                                public
                                view
                                returns (Decimal.D256 memory)
                            {
                                _requireValidMarket(marketId);
                                return g_state.markets[marketId].marginPremium;
                            }
                        
                            /**
                             * Get the spread premium for a market. A spread premium makes it so that any liquidations
                             * that include the market have a higher spread than the global default.
                             *
                             * @param  marketId  The market to query
                             * @return           The market's spread premium
                             */
                            function getMarketSpreadPremium(
                                uint256 marketId
                            )
                                public
                                view
                                returns (Decimal.D256 memory)
                            {
                                _requireValidMarket(marketId);
                                return g_state.markets[marketId].spreadPremium;
                            }
                        
                            /**
                             * Return true if a particular market is in closing mode. Additional borrows cannot be taken
                             * from a market that is closing.
                             *
                             * @param  marketId  The market to query
                             * @return           True if the market is closing
                             */
                            function getMarketIsClosing(
                                uint256 marketId
                            )
                                public
                                view
                                returns (bool)
                            {
                                _requireValidMarket(marketId);
                                return g_state.markets[marketId].isClosing;
                            }
                        
                            /**
                             * Get the price of the token for a market.
                             *
                             * @param  marketId  The market to query
                             * @return           The price of each atomic unit of the token
                             */
                            function getMarketPrice(
                                uint256 marketId
                            )
                                public
                                view
                                returns (Monetary.Price memory)
                            {
                                _requireValidMarket(marketId);
                                return g_state.fetchPrice(marketId);
                            }
                        
                            /**
                             * Get the current borrower interest rate for a market.
                             *
                             * @param  marketId  The market to query
                             * @return           The current interest rate
                             */
                            function getMarketInterestRate(
                                uint256 marketId
                            )
                                public
                                view
                                returns (Interest.Rate memory)
                            {
                                _requireValidMarket(marketId);
                                return g_state.fetchInterestRate(
                                    marketId,
                                    g_state.getIndex(marketId)
                                );
                            }
                        
                            /**
                             * Get the adjusted liquidation spread for some market pair. This is equal to the global
                             * liquidation spread multiplied by (1 + spreadPremium) for each of the two markets.
                             *
                             * @param  heldMarketId  The market for which the account has collateral
                             * @param  owedMarketId  The market for which the account has borrowed tokens
                             * @return               The adjusted liquidation spread
                             */
                            function getLiquidationSpreadForPair(
                                uint256 heldMarketId,
                                uint256 owedMarketId
                            )
                                public
                                view
                                returns (Decimal.D256 memory)
                            {
                                _requireValidMarket(heldMarketId);
                                _requireValidMarket(owedMarketId);
                                return g_state.getLiquidationSpreadForPair(heldMarketId, owedMarketId);
                            }
                        
                            /**
                             * Get basic information about a particular market.
                             *
                             * @param  marketId  The market to query
                             * @return           A Storage.Market struct with the current state of the market
                             */
                            function getMarket(
                                uint256 marketId
                            )
                                public
                                view
                                returns (Storage.Market memory)
                            {
                                _requireValidMarket(marketId);
                                return g_state.markets[marketId];
                            }
                        
                            /**
                             * Get comprehensive information about a particular market.
                             *
                             * @param  marketId  The market to query
                             * @return           A tuple containing the values:
                             *                    - A Storage.Market struct with the current state of the market
                             *                    - The current estimated interest index
                             *                    - The current token price
                             *                    - The current market interest rate
                             */
                            function getMarketWithInfo(
                                uint256 marketId
                            )
                                public
                                view
                                returns (
                                    Storage.Market memory,
                                    Interest.Index memory,
                                    Monetary.Price memory,
                                    Interest.Rate memory
                                )
                            {
                                _requireValidMarket(marketId);
                                return (
                                    getMarket(marketId),
                                    getMarketCurrentIndex(marketId),
                                    getMarketPrice(marketId),
                                    getMarketInterestRate(marketId)
                                );
                            }
                        
                            /**
                             * Get the number of excess tokens for a market. The number of excess tokens is calculated
                             * by taking the current number of tokens held in Solo, adding the number of tokens owed to Solo
                             * by borrowers, and subtracting the number of tokens owed to suppliers by Solo.
                             *
                             * @param  marketId  The market to query
                             * @return           The number of excess tokens
                             */
                            function getNumExcessTokens(
                                uint256 marketId
                            )
                                public
                                view
                                returns (Types.Wei memory)
                            {
                                _requireValidMarket(marketId);
                                return g_state.getNumExcessTokens(marketId);
                            }
                        
                            // ============ Getters for Accounts ============
                        
                            /**
                             * Get the principal value for a particular account and market.
                             *
                             * @param  account   The account to query
                             * @param  marketId  The market to query
                             * @return           The principal value
                             */
                            function getAccountPar(
                                Account.Info memory account,
                                uint256 marketId
                            )
                                public
                                view
                                returns (Types.Par memory)
                            {
                                _requireValidMarket(marketId);
                                return g_state.getPar(account, marketId);
                            }
                        
                            /**
                             * Get the token balance for a particular account and market.
                             *
                             * @param  account   The account to query
                             * @param  marketId  The market to query
                             * @return           The token amount
                             */
                            function getAccountWei(
                                Account.Info memory account,
                                uint256 marketId
                            )
                                public
                                view
                                returns (Types.Wei memory)
                            {
                                _requireValidMarket(marketId);
                                return Interest.parToWei(
                                    g_state.getPar(account, marketId),
                                    g_state.fetchNewIndex(marketId, g_state.getIndex(marketId))
                                );
                            }
                        
                            /**
                             * Get the status of an account (Normal, Liquidating, or Vaporizing).
                             *
                             * @param  account  The account to query
                             * @return          The account's status
                             */
                            function getAccountStatus(
                                Account.Info memory account
                            )
                                public
                                view
                                returns (Account.Status)
                            {
                                return g_state.getStatus(account);
                            }
                        
                            /**
                             * Get the total supplied and total borrowed value of an account.
                             *
                             * @param  account  The account to query
                             * @return          The following values:
                             *                   - The supplied value of the account
                             *                   - The borrowed value of the account
                             */
                            function getAccountValues(
                                Account.Info memory account
                            )
                                public
                                view
                                returns (Monetary.Value memory, Monetary.Value memory)
                            {
                                return getAccountValuesInternal(account, /* adjustForLiquidity = */ false);
                            }
                        
                            /**
                             * Get the total supplied and total borrowed values of an account adjusted by the marginPremium
                             * of each market. Supplied values are divided by (1 + marginPremium) for each market and
                             * borrowed values are multiplied by (1 + marginPremium) for each market. Comparing these
                             * adjusted values gives the margin-ratio of the account which will be compared to the global
                             * margin-ratio when determining if the account can be liquidated.
                             *
                             * @param  account  The account to query
                             * @return          The following values:
                             *                   - The supplied value of the account (adjusted for marginPremium)
                             *                   - The borrowed value of the account (adjusted for marginPremium)
                             */
                            function getAdjustedAccountValues(
                                Account.Info memory account
                            )
                                public
                                view
                                returns (Monetary.Value memory, Monetary.Value memory)
                            {
                                return getAccountValuesInternal(account, /* adjustForLiquidity = */ true);
                            }
                        
                            /**
                             * Get an account's summary for each market.
                             *
                             * @param  account  The account to query
                             * @return          The following values:
                             *                   - The ERC20 token address for each market
                             *                   - The account's principal value for each market
                             *                   - The account's (supplied or borrowed) number of tokens for each market
                             */
                            function getAccountBalances(
                                Account.Info memory account
                            )
                                public
                                view
                                returns (
                                    address[] memory,
                                    Types.Par[] memory,
                                    Types.Wei[] memory
                                )
                            {
                                uint256 numMarkets = g_state.numMarkets;
                                address[] memory tokens = new address[](numMarkets);
                                Types.Par[] memory pars = new Types.Par[](numMarkets);
                                Types.Wei[] memory weis = new Types.Wei[](numMarkets);
                        
                                for (uint256 m = 0; m < numMarkets; m++) {
                                    tokens[m] = getMarketTokenAddress(m);
                                    pars[m] = getAccountPar(account, m);
                                    weis[m] = getAccountWei(account, m);
                                }
                        
                                return (
                                    tokens,
                                    pars,
                                    weis
                                );
                            }
                        
                            // ============ Getters for Permissions ============
                        
                            /**
                             * Return true if a particular address is approved as an operator for an owner's accounts.
                             * Approved operators can act on the accounts of the owner as if it were the operator's own.
                             *
                             * @param  owner     The owner of the accounts
                             * @param  operator  The possible operator
                             * @return           True if operator is approved for owner's accounts
                             */
                            function getIsLocalOperator(
                                address owner,
                                address operator
                            )
                                public
                                view
                                returns (bool)
                            {
                                return g_state.isLocalOperator(owner, operator);
                            }
                        
                            /**
                             * Return true if a particular address is approved as a global operator. Such an address can
                             * act on any account as if it were the operator's own.
                             *
                             * @param  operator  The address to query
                             * @return           True if operator is a global operator
                             */
                            function getIsGlobalOperator(
                                address operator
                            )
                                public
                                view
                                returns (bool)
                            {
                                return g_state.isGlobalOperator(operator);
                            }
                        
                            // ============ Private Helper Functions ============
                        
                            /**
                             * Revert if marketId is invalid.
                             */
                            function _requireValidMarket(
                                uint256 marketId
                            )
                                private
                                view
                            {
                                Require.that(
                                    marketId < g_state.numMarkets,
                                    FILE,
                                    "Market OOB"
                                );
                            }
                        
                            /**
                             * Private helper for getting the monetary values of an account.
                             */
                            function getAccountValuesInternal(
                                Account.Info memory account,
                                bool adjustForLiquidity
                            )
                                private
                                view
                                returns (Monetary.Value memory, Monetary.Value memory)
                            {
                                uint256 numMarkets = g_state.numMarkets;
                        
                                // populate cache
                                Cache.MarketCache memory cache = Cache.create(numMarkets);
                                for (uint256 m = 0; m < numMarkets; m++) {
                                    if (!g_state.getPar(account, m).isZero()) {
                                        cache.addMarket(g_state, m);
                                    }
                                }
                        
                                return g_state.getAccountValues(account, cache, adjustForLiquidity);
                            }
                        }
                        
                        // File: contracts/protocol/interfaces/IAutoTrader.sol
                        
                        /**
                         * @title IAutoTrader
                         * @author dYdX
                         *
                         * Interface that Auto-Traders for Solo must implement in order to approve trades.
                         */
                        contract IAutoTrader {
                        
                            // ============ Public Functions ============
                        
                            /**
                             * Allows traders to make trades approved by this smart contract. The active trader's account is
                             * the takerAccount and the passive account (for which this contract approves trades
                             * on-behalf-of) is the makerAccount.
                             *
                             * @param  inputMarketId   The market for which the trader specified the original amount
                             * @param  outputMarketId  The market for which the trader wants the resulting amount specified
                             * @param  makerAccount    The account for which this contract is making trades
                             * @param  takerAccount    The account requesting the trade
                             * @param  oldInputPar     The old principal amount for the makerAccount for the inputMarketId
                             * @param  newInputPar     The new principal amount for the makerAccount for the inputMarketId
                             * @param  inputWei        The change in token amount for the makerAccount for the inputMarketId
                             * @param  data            Arbitrary data passed in by the trader
                             * @return                 The AssetAmount for the makerAccount for the outputMarketId
                             */
                            function getTradeCost(
                                uint256 inputMarketId,
                                uint256 outputMarketId,
                                Account.Info memory makerAccount,
                                Account.Info memory takerAccount,
                                Types.Par memory oldInputPar,
                                Types.Par memory newInputPar,
                                Types.Wei memory inputWei,
                                bytes memory data
                            )
                                public
                                returns (Types.AssetAmount memory);
                        }
                        
                        // File: contracts/protocol/interfaces/ICallee.sol
                        
                        /**
                         * @title ICallee
                         * @author dYdX
                         *
                         * Interface that Callees for Solo must implement in order to ingest data.
                         */
                        contract ICallee {
                        
                            // ============ Public Functions ============
                        
                            /**
                             * Allows users to send this contract arbitrary data.
                             *
                             * @param  sender       The msg.sender to Solo
                             * @param  accountInfo  The account from which the data is being sent
                             * @param  data         Arbitrary data given by the sender
                             */
                            function callFunction(
                                address sender,
                                Account.Info memory accountInfo,
                                bytes memory data
                            )
                                public;
                        }
                        
                        // File: contracts/protocol/lib/Actions.sol
                        
                        /**
                         * @title Actions
                         * @author dYdX
                         *
                         * Library that defines and parses valid Actions
                         */
                        library Actions {
                        
                            // ============ Constants ============
                        
                            bytes32 constant FILE = "Actions";
                        
                            // ============ Enums ============
                        
                            enum ActionType {
                                Deposit,   // supply tokens
                                Withdraw,  // borrow tokens
                                Transfer,  // transfer balance between accounts
                                Buy,       // buy an amount of some token (externally)
                                Sell,      // sell an amount of some token (externally)
                                Trade,     // trade tokens against another account
                                Liquidate, // liquidate an undercollateralized or expiring account
                                Vaporize,  // use excess tokens to zero-out a completely negative account
                                Call       // send arbitrary data to an address
                            }
                        
                            enum AccountLayout {
                                OnePrimary,
                                TwoPrimary,
                                PrimaryAndSecondary
                            }
                        
                            enum MarketLayout {
                                ZeroMarkets,
                                OneMarket,
                                TwoMarkets
                            }
                        
                            // ============ Structs ============
                        
                            /*
                             * Arguments that are passed to Solo in an ordered list as part of a single operation.
                             * Each ActionArgs has an actionType which specifies which action struct that this data will be
                             * parsed into before being processed.
                             */
                            struct ActionArgs {
                                ActionType actionType;
                                uint256 accountId;
                                Types.AssetAmount amount;
                                uint256 primaryMarketId;
                                uint256 secondaryMarketId;
                                address otherAddress;
                                uint256 otherAccountId;
                                bytes data;
                            }
                        
                            // ============ Action Types ============
                        
                            /*
                             * Moves tokens from an address to Solo. Can either repay a borrow or provide additional supply.
                             */
                            struct DepositArgs {
                                Types.AssetAmount amount;
                                Account.Info account;
                                uint256 market;
                                address from;
                            }
                        
                            /*
                             * Moves tokens from Solo to another address. Can either borrow tokens or reduce the amount
                             * previously supplied.
                             */
                            struct WithdrawArgs {
                                Types.AssetAmount amount;
                                Account.Info account;
                                uint256 market;
                                address to;
                            }
                        
                            /*
                             * Transfers balance between two accounts. The msg.sender must be an operator for both accounts.
                             * The amount field applies to accountOne.
                             * This action does not require any token movement since the trade is done internally to Solo.
                             */
                            struct TransferArgs {
                                Types.AssetAmount amount;
                                Account.Info accountOne;
                                Account.Info accountTwo;
                                uint256 market;
                            }
                        
                            /*
                             * Acquires a certain amount of tokens by spending other tokens. Sends takerMarket tokens to the
                             * specified exchangeWrapper contract and expects makerMarket tokens in return. The amount field
                             * applies to the makerMarket.
                             */
                            struct BuyArgs {
                                Types.AssetAmount amount;
                                Account.Info account;
                                uint256 makerMarket;
                                uint256 takerMarket;
                                address exchangeWrapper;
                                bytes orderData;
                            }
                        
                            /*
                             * Spends a certain amount of tokens to acquire other tokens. Sends takerMarket tokens to the
                             * specified exchangeWrapper and expects makerMarket tokens in return. The amount field applies
                             * to the takerMarket.
                             */
                            struct SellArgs {
                                Types.AssetAmount amount;
                                Account.Info account;
                                uint256 takerMarket;
                                uint256 makerMarket;
                                address exchangeWrapper;
                                bytes orderData;
                            }
                        
                            /*
                             * Trades balances between two accounts using any external contract that implements the
                             * AutoTrader interface. The AutoTrader contract must be an operator for the makerAccount (for
                             * which it is trading on-behalf-of). The amount field applies to the makerAccount and the
                             * inputMarket. This proposed change to the makerAccount is passed to the AutoTrader which will
                             * quote a change for the makerAccount in the outputMarket (or will disallow the trade).
                             * This action does not require any token movement since the trade is done internally to Solo.
                             */
                            struct TradeArgs {
                                Types.AssetAmount amount;
                                Account.Info takerAccount;
                                Account.Info makerAccount;
                                uint256 inputMarket;
                                uint256 outputMarket;
                                address autoTrader;
                                bytes tradeData;
                            }
                        
                            /*
                             * Each account must maintain a certain margin-ratio (specified globally). If the account falls
                             * below this margin-ratio, it can be liquidated by any other account. This allows anyone else
                             * (arbitrageurs) to repay any borrowed asset (owedMarket) of the liquidating account in
                             * exchange for any collateral asset (heldMarket) of the liquidAccount. The ratio is determined
                             * by the price ratio (given by the oracles) plus a spread (specified globally). Liquidating an
                             * account also sets a flag on the account that the account is being liquidated. This allows
                             * anyone to continue liquidating the account until there are no more borrows being taken by the
                             * liquidating account. Liquidators do not have to liquidate the entire account all at once but
                             * can liquidate as much as they choose. The liquidating flag allows liquidators to continue
                             * liquidating the account even if it becomes collateralized through partial liquidation or
                             * price movement.
                             */
                            struct LiquidateArgs {
                                Types.AssetAmount amount;
                                Account.Info solidAccount;
                                Account.Info liquidAccount;
                                uint256 owedMarket;
                                uint256 heldMarket;
                            }
                        
                            /*
                             * Similar to liquidate, but vaporAccounts are accounts that have only negative balances
                             * remaining. The arbitrageur pays back the negative asset (owedMarket) of the vaporAccount in
                             * exchange for a collateral asset (heldMarket) at a favorable spread. However, since the
                             * liquidAccount has no collateral assets, the collateral must come from Solo's excess tokens.
                             */
                            struct VaporizeArgs {
                                Types.AssetAmount amount;
                                Account.Info solidAccount;
                                Account.Info vaporAccount;
                                uint256 owedMarket;
                                uint256 heldMarket;
                            }
                        
                            /*
                             * Passes arbitrary bytes of data to an external contract that implements the Callee interface.
                             * Does not change any asset amounts. This function may be useful for setting certain variables
                             * on layer-two contracts for certain accounts without having to make a separate Ethereum
                             * transaction for doing so. Also, the second-layer contracts can ensure that the call is coming
                             * from an operator of the particular account.
                             */
                            struct CallArgs {
                                Account.Info account;
                                address callee;
                                bytes data;
                            }
                        
                            // ============ Helper Functions ============
                        
                            function getMarketLayout(
                                ActionType actionType
                            )
                                internal
                                pure
                                returns (MarketLayout)
                            {
                                if (
                                    actionType == Actions.ActionType.Deposit
                                    || actionType == Actions.ActionType.Withdraw
                                    || actionType == Actions.ActionType.Transfer
                                ) {
                                    return MarketLayout.OneMarket;
                                }
                                else if (actionType == Actions.ActionType.Call) {
                                    return MarketLayout.ZeroMarkets;
                                }
                                return MarketLayout.TwoMarkets;
                            }
                        
                            function getAccountLayout(
                                ActionType actionType
                            )
                                internal
                                pure
                                returns (AccountLayout)
                            {
                                if (
                                    actionType == Actions.ActionType.Transfer
                                    || actionType == Actions.ActionType.Trade
                                ) {
                                    return AccountLayout.TwoPrimary;
                                } else if (
                                    actionType == Actions.ActionType.Liquidate
                                    || actionType == Actions.ActionType.Vaporize
                                ) {
                                    return AccountLayout.PrimaryAndSecondary;
                                }
                                return AccountLayout.OnePrimary;
                            }
                        
                            // ============ Parsing Functions ============
                        
                            function parseDepositArgs(
                                Account.Info[] memory accounts,
                                ActionArgs memory args
                            )
                                internal
                                pure
                                returns (DepositArgs memory)
                            {
                                assert(args.actionType == ActionType.Deposit);
                                return DepositArgs({
                                    amount: args.amount,
                                    account: accounts[args.accountId],
                                    market: args.primaryMarketId,
                                    from: args.otherAddress
                                });
                            }
                        
                            function parseWithdrawArgs(
                                Account.Info[] memory accounts,
                                ActionArgs memory args
                            )
                                internal
                                pure
                                returns (WithdrawArgs memory)
                            {
                                assert(args.actionType == ActionType.Withdraw);
                                return WithdrawArgs({
                                    amount: args.amount,
                                    account: accounts[args.accountId],
                                    market: args.primaryMarketId,
                                    to: args.otherAddress
                                });
                            }
                        
                            function parseTransferArgs(
                                Account.Info[] memory accounts,
                                ActionArgs memory args
                            )
                                internal
                                pure
                                returns (TransferArgs memory)
                            {
                                assert(args.actionType == ActionType.Transfer);
                                return TransferArgs({
                                    amount: args.amount,
                                    accountOne: accounts[args.accountId],
                                    accountTwo: accounts[args.otherAccountId],
                                    market: args.primaryMarketId
                                });
                            }
                        
                            function parseBuyArgs(
                                Account.Info[] memory accounts,
                                ActionArgs memory args
                            )
                                internal
                                pure
                                returns (BuyArgs memory)
                            {
                                assert(args.actionType == ActionType.Buy);
                                return BuyArgs({
                                    amount: args.amount,
                                    account: accounts[args.accountId],
                                    makerMarket: args.primaryMarketId,
                                    takerMarket: args.secondaryMarketId,
                                    exchangeWrapper: args.otherAddress,
                                    orderData: args.data
                                });
                            }
                        
                            function parseSellArgs(
                                Account.Info[] memory accounts,
                                ActionArgs memory args
                            )
                                internal
                                pure
                                returns (SellArgs memory)
                            {
                                assert(args.actionType == ActionType.Sell);
                                return SellArgs({
                                    amount: args.amount,
                                    account: accounts[args.accountId],
                                    takerMarket: args.primaryMarketId,
                                    makerMarket: args.secondaryMarketId,
                                    exchangeWrapper: args.otherAddress,
                                    orderData: args.data
                                });
                            }
                        
                            function parseTradeArgs(
                                Account.Info[] memory accounts,
                                ActionArgs memory args
                            )
                                internal
                                pure
                                returns (TradeArgs memory)
                            {
                                assert(args.actionType == ActionType.Trade);
                                return TradeArgs({
                                    amount: args.amount,
                                    takerAccount: accounts[args.accountId],
                                    makerAccount: accounts[args.otherAccountId],
                                    inputMarket: args.primaryMarketId,
                                    outputMarket: args.secondaryMarketId,
                                    autoTrader: args.otherAddress,
                                    tradeData: args.data
                                });
                            }
                        
                            function parseLiquidateArgs(
                                Account.Info[] memory accounts,
                                ActionArgs memory args
                            )
                                internal
                                pure
                                returns (LiquidateArgs memory)
                            {
                                assert(args.actionType == ActionType.Liquidate);
                                return LiquidateArgs({
                                    amount: args.amount,
                                    solidAccount: accounts[args.accountId],
                                    liquidAccount: accounts[args.otherAccountId],
                                    owedMarket: args.primaryMarketId,
                                    heldMarket: args.secondaryMarketId
                                });
                            }
                        
                            function parseVaporizeArgs(
                                Account.Info[] memory accounts,
                                ActionArgs memory args
                            )
                                internal
                                pure
                                returns (VaporizeArgs memory)
                            {
                                assert(args.actionType == ActionType.Vaporize);
                                return VaporizeArgs({
                                    amount: args.amount,
                                    solidAccount: accounts[args.accountId],
                                    vaporAccount: accounts[args.otherAccountId],
                                    owedMarket: args.primaryMarketId,
                                    heldMarket: args.secondaryMarketId
                                });
                            }
                        
                            function parseCallArgs(
                                Account.Info[] memory accounts,
                                ActionArgs memory args
                            )
                                internal
                                pure
                                returns (CallArgs memory)
                            {
                                assert(args.actionType == ActionType.Call);
                                return CallArgs({
                                    account: accounts[args.accountId],
                                    callee: args.otherAddress,
                                    data: args.data
                                });
                            }
                        }
                        
                        // File: contracts/protocol/lib/Events.sol
                        
                        /**
                         * @title Events
                         * @author dYdX
                         *
                         * Library to parse and emit logs from which the state of all accounts and indexes can be followed
                         */
                        library Events {
                            using Types for Types.Wei;
                            using Storage for Storage.State;
                        
                            // ============ Events ============
                        
                            event LogIndexUpdate(
                                uint256 indexed market,
                                Interest.Index index
                            );
                        
                            event LogOperation(
                                address sender
                            );
                        
                            event LogDeposit(
                                address indexed accountOwner,
                                uint256 accountNumber,
                                uint256 market,
                                BalanceUpdate update,
                                address from
                            );
                        
                            event LogWithdraw(
                                address indexed accountOwner,
                                uint256 accountNumber,
                                uint256 market,
                                BalanceUpdate update,
                                address to
                            );
                        
                            event LogTransfer(
                                address indexed accountOneOwner,
                                uint256 accountOneNumber,
                                address indexed accountTwoOwner,
                                uint256 accountTwoNumber,
                                uint256 market,
                                BalanceUpdate updateOne,
                                BalanceUpdate updateTwo
                            );
                        
                            event LogBuy(
                                address indexed accountOwner,
                                uint256 accountNumber,
                                uint256 takerMarket,
                                uint256 makerMarket,
                                BalanceUpdate takerUpdate,
                                BalanceUpdate makerUpdate,
                                address exchangeWrapper
                            );
                        
                            event LogSell(
                                address indexed accountOwner,
                                uint256 accountNumber,
                                uint256 takerMarket,
                                uint256 makerMarket,
                                BalanceUpdate takerUpdate,
                                BalanceUpdate makerUpdate,
                                address exchangeWrapper
                            );
                        
                            event LogTrade(
                                address indexed takerAccountOwner,
                                uint256 takerAccountNumber,
                                address indexed makerAccountOwner,
                                uint256 makerAccountNumber,
                                uint256 inputMarket,
                                uint256 outputMarket,
                                BalanceUpdate takerInputUpdate,
                                BalanceUpdate takerOutputUpdate,
                                BalanceUpdate makerInputUpdate,
                                BalanceUpdate makerOutputUpdate,
                                address autoTrader
                            );
                        
                            event LogCall(
                                address indexed accountOwner,
                                uint256 accountNumber,
                                address callee
                            );
                        
                            event LogLiquidate(
                                address indexed solidAccountOwner,
                                uint256 solidAccountNumber,
                                address indexed liquidAccountOwner,
                                uint256 liquidAccountNumber,
                                uint256 heldMarket,
                                uint256 owedMarket,
                                BalanceUpdate solidHeldUpdate,
                                BalanceUpdate solidOwedUpdate,
                                BalanceUpdate liquidHeldUpdate,
                                BalanceUpdate liquidOwedUpdate
                            );
                        
                            event LogVaporize(
                                address indexed solidAccountOwner,
                                uint256 solidAccountNumber,
                                address indexed vaporAccountOwner,
                                uint256 vaporAccountNumber,
                                uint256 heldMarket,
                                uint256 owedMarket,
                                BalanceUpdate solidHeldUpdate,
                                BalanceUpdate solidOwedUpdate,
                                BalanceUpdate vaporOwedUpdate
                            );
                        
                            // ============ Structs ============
                        
                            struct BalanceUpdate {
                                Types.Wei deltaWei;
                                Types.Par newPar;
                            }
                        
                            // ============ Internal Functions ============
                        
                            function logIndexUpdate(
                                uint256 marketId,
                                Interest.Index memory index
                            )
                                internal
                            {
                                emit LogIndexUpdate(
                                    marketId,
                                    index
                                );
                            }
                        
                            function logOperation()
                                internal
                            {
                                emit LogOperation(msg.sender);
                            }
                        
                            function logDeposit(
                                Storage.State storage state,
                                Actions.DepositArgs memory args,
                                Types.Wei memory deltaWei
                            )
                                internal
                            {
                                emit LogDeposit(
                                    args.account.owner,
                                    args.account.number,
                                    args.market,
                                    getBalanceUpdate(
                                        state,
                                        args.account,
                                        args.market,
                                        deltaWei
                                    ),
                                    args.from
                                );
                            }
                        
                            function logWithdraw(
                                Storage.State storage state,
                                Actions.WithdrawArgs memory args,
                                Types.Wei memory deltaWei
                            )
                                internal
                            {
                                emit LogWithdraw(
                                    args.account.owner,
                                    args.account.number,
                                    args.market,
                                    getBalanceUpdate(
                                        state,
                                        args.account,
                                        args.market,
                                        deltaWei
                                    ),
                                    args.to
                                );
                            }
                        
                            function logTransfer(
                                Storage.State storage state,
                                Actions.TransferArgs memory args,
                                Types.Wei memory deltaWei
                            )
                                internal
                            {
                                emit LogTransfer(
                                    args.accountOne.owner,
                                    args.accountOne.number,
                                    args.accountTwo.owner,
                                    args.accountTwo.number,
                                    args.market,
                                    getBalanceUpdate(
                                        state,
                                        args.accountOne,
                                        args.market,
                                        deltaWei
                                    ),
                                    getBalanceUpdate(
                                        state,
                                        args.accountTwo,
                                        args.market,
                                        deltaWei.negative()
                                    )
                                );
                            }
                        
                            function logBuy(
                                Storage.State storage state,
                                Actions.BuyArgs memory args,
                                Types.Wei memory takerWei,
                                Types.Wei memory makerWei
                            )
                                internal
                            {
                                emit LogBuy(
                                    args.account.owner,
                                    args.account.number,
                                    args.takerMarket,
                                    args.makerMarket,
                                    getBalanceUpdate(
                                        state,
                                        args.account,
                                        args.takerMarket,
                                        takerWei
                                    ),
                                    getBalanceUpdate(
                                        state,
                                        args.account,
                                        args.makerMarket,
                                        makerWei
                                    ),
                                    args.exchangeWrapper
                                );
                            }
                        
                            function logSell(
                                Storage.State storage state,
                                Actions.SellArgs memory args,
                                Types.Wei memory takerWei,
                                Types.Wei memory makerWei
                            )
                                internal
                            {
                                emit LogSell(
                                    args.account.owner,
                                    args.account.number,
                                    args.takerMarket,
                                    args.makerMarket,
                                    getBalanceUpdate(
                                        state,
                                        args.account,
                                        args.takerMarket,
                                        takerWei
                                    ),
                                    getBalanceUpdate(
                                        state,
                                        args.account,
                                        args.makerMarket,
                                        makerWei
                                    ),
                                    args.exchangeWrapper
                                );
                            }
                        
                            function logTrade(
                                Storage.State storage state,
                                Actions.TradeArgs memory args,
                                Types.Wei memory inputWei,
                                Types.Wei memory outputWei
                            )
                                internal
                            {
                                BalanceUpdate[4] memory updates = [
                                    getBalanceUpdate(
                                        state,
                                        args.takerAccount,
                                        args.inputMarket,
                                        inputWei.negative()
                                    ),
                                    getBalanceUpdate(
                                        state,
                                        args.takerAccount,
                                        args.outputMarket,
                                        outputWei.negative()
                                    ),
                                    getBalanceUpdate(
                                        state,
                                        args.makerAccount,
                                        args.inputMarket,
                                        inputWei
                                    ),
                                    getBalanceUpdate(
                                        state,
                                        args.makerAccount,
                                        args.outputMarket,
                                        outputWei
                                    )
                                ];
                        
                                emit LogTrade(
                                    args.takerAccount.owner,
                                    args.takerAccount.number,
                                    args.makerAccount.owner,
                                    args.makerAccount.number,
                                    args.inputMarket,
                                    args.outputMarket,
                                    updates[0],
                                    updates[1],
                                    updates[2],
                                    updates[3],
                                    args.autoTrader
                                );
                            }
                        
                            function logCall(
                                Actions.CallArgs memory args
                            )
                                internal
                            {
                                emit LogCall(
                                    args.account.owner,
                                    args.account.number,
                                    args.callee
                                );
                            }
                        
                            function logLiquidate(
                                Storage.State storage state,
                                Actions.LiquidateArgs memory args,
                                Types.Wei memory heldWei,
                                Types.Wei memory owedWei
                            )
                                internal
                            {
                                BalanceUpdate memory solidHeldUpdate = getBalanceUpdate(
                                    state,
                                    args.solidAccount,
                                    args.heldMarket,
                                    heldWei.negative()
                                );
                                BalanceUpdate memory solidOwedUpdate = getBalanceUpdate(
                                    state,
                                    args.solidAccount,
                                    args.owedMarket,
                                    owedWei.negative()
                                );
                                BalanceUpdate memory liquidHeldUpdate = getBalanceUpdate(
                                    state,
                                    args.liquidAccount,
                                    args.heldMarket,
                                    heldWei
                                );
                                BalanceUpdate memory liquidOwedUpdate = getBalanceUpdate(
                                    state,
                                    args.liquidAccount,
                                    args.owedMarket,
                                    owedWei
                                );
                        
                                emit LogLiquidate(
                                    args.solidAccount.owner,
                                    args.solidAccount.number,
                                    args.liquidAccount.owner,
                                    args.liquidAccount.number,
                                    args.heldMarket,
                                    args.owedMarket,
                                    solidHeldUpdate,
                                    solidOwedUpdate,
                                    liquidHeldUpdate,
                                    liquidOwedUpdate
                                );
                            }
                        
                            function logVaporize(
                                Storage.State storage state,
                                Actions.VaporizeArgs memory args,
                                Types.Wei memory heldWei,
                                Types.Wei memory owedWei,
                                Types.Wei memory excessWei
                            )
                                internal
                            {
                                BalanceUpdate memory solidHeldUpdate = getBalanceUpdate(
                                    state,
                                    args.solidAccount,
                                    args.heldMarket,
                                    heldWei.negative()
                                );
                                BalanceUpdate memory solidOwedUpdate = getBalanceUpdate(
                                    state,
                                    args.solidAccount,
                                    args.owedMarket,
                                    owedWei.negative()
                                );
                                BalanceUpdate memory vaporOwedUpdate = getBalanceUpdate(
                                    state,
                                    args.vaporAccount,
                                    args.owedMarket,
                                    owedWei.add(excessWei)
                                );
                        
                                emit LogVaporize(
                                    args.solidAccount.owner,
                                    args.solidAccount.number,
                                    args.vaporAccount.owner,
                                    args.vaporAccount.number,
                                    args.heldMarket,
                                    args.owedMarket,
                                    solidHeldUpdate,
                                    solidOwedUpdate,
                                    vaporOwedUpdate
                                );
                            }
                        
                            // ============ Private Functions ============
                        
                            function getBalanceUpdate(
                                Storage.State storage state,
                                Account.Info memory account,
                                uint256 market,
                                Types.Wei memory deltaWei
                            )
                                private
                                view
                                returns (BalanceUpdate memory)
                            {
                                return BalanceUpdate({
                                    deltaWei: deltaWei,
                                    newPar: state.getPar(account, market)
                                });
                            }
                        }
                        
                        // File: contracts/protocol/interfaces/IExchangeWrapper.sol
                        
                        /**
                         * @title IExchangeWrapper
                         * @author dYdX
                         *
                         * Interface that Exchange Wrappers for Solo must implement in order to trade ERC20 tokens.
                         */
                        interface IExchangeWrapper {
                        
                            // ============ Public Functions ============
                        
                            /**
                             * Exchange some amount of takerToken for makerToken.
                             *
                             * @param  tradeOriginator      Address of the initiator of the trade (however, this value
                             *                              cannot always be trusted as it is set at the discretion of the
                             *                              msg.sender)
                             * @param  receiver             Address to set allowance on once the trade has completed
                             * @param  makerToken           Address of makerToken, the token to receive
                             * @param  takerToken           Address of takerToken, the token to pay
                             * @param  requestedFillAmount  Amount of takerToken being paid
                             * @param  orderData            Arbitrary bytes data for any information to pass to the exchange
                             * @return                      The amount of makerToken received
                             */
                            function exchange(
                                address tradeOriginator,
                                address receiver,
                                address makerToken,
                                address takerToken,
                                uint256 requestedFillAmount,
                                bytes calldata orderData
                            )
                                external
                                returns (uint256);
                        
                            /**
                             * Get amount of takerToken required to buy a certain amount of makerToken for a given trade.
                             * Should match the takerToken amount used in exchangeForAmount. If the order cannot provide
                             * exactly desiredMakerToken, then it must return the price to buy the minimum amount greater
                             * than desiredMakerToken
                             *
                             * @param  makerToken         Address of makerToken, the token to receive
                             * @param  takerToken         Address of takerToken, the token to pay
                             * @param  desiredMakerToken  Amount of makerToken requested
                             * @param  orderData          Arbitrary bytes data for any information to pass to the exchange
                             * @return                    Amount of takerToken the needed to complete the exchange
                             */
                            function getExchangeCost(
                                address makerToken,
                                address takerToken,
                                uint256 desiredMakerToken,
                                bytes calldata orderData
                            )
                                external
                                view
                                returns (uint256);
                        }
                        
                        // File: contracts/protocol/lib/Exchange.sol
                        
                        /**
                         * @title Exchange
                         * @author dYdX
                         *
                         * Library for transferring tokens and interacting with ExchangeWrappers by using the Wei struct
                         */
                        library Exchange {
                            using Types for Types.Wei;
                        
                            // ============ Constants ============
                        
                            bytes32 constant FILE = "Exchange";
                        
                            // ============ Library Functions ============
                        
                            function transferOut(
                                address token,
                                address to,
                                Types.Wei memory deltaWei
                            )
                                internal
                            {
                                Require.that(
                                    !deltaWei.isPositive(),
                                    FILE,
                                    "Cannot transferOut positive",
                                    deltaWei.value
                                );
                        
                                Token.transfer(
                                    token,
                                    to,
                                    deltaWei.value
                                );
                            }
                        
                            function transferIn(
                                address token,
                                address from,
                                Types.Wei memory deltaWei
                            )
                                internal
                            {
                                Require.that(
                                    !deltaWei.isNegative(),
                                    FILE,
                                    "Cannot transferIn negative",
                                    deltaWei.value
                                );
                        
                                Token.transferFrom(
                                    token,
                                    from,
                                    address(this),
                                    deltaWei.value
                                );
                            }
                        
                            function getCost(
                                address exchangeWrapper,
                                address supplyToken,
                                address borrowToken,
                                Types.Wei memory desiredAmount,
                                bytes memory orderData
                            )
                                internal
                                view
                                returns (Types.Wei memory)
                            {
                                Require.that(
                                    !desiredAmount.isNegative(),
                                    FILE,
                                    "Cannot getCost negative",
                                    desiredAmount.value
                                );
                        
                                Types.Wei memory result;
                                result.sign = false;
                                result.value = IExchangeWrapper(exchangeWrapper).getExchangeCost(
                                    supplyToken,
                                    borrowToken,
                                    desiredAmount.value,
                                    orderData
                                );
                        
                                return result;
                            }
                        
                            function exchange(
                                address exchangeWrapper,
                                address accountOwner,
                                address supplyToken,
                                address borrowToken,
                                Types.Wei memory requestedFillAmount,
                                bytes memory orderData
                            )
                                internal
                                returns (Types.Wei memory)
                            {
                                Require.that(
                                    !requestedFillAmount.isPositive(),
                                    FILE,
                                    "Cannot exchange positive",
                                    requestedFillAmount.value
                                );
                        
                                transferOut(borrowToken, exchangeWrapper, requestedFillAmount);
                        
                                Types.Wei memory result;
                                result.sign = true;
                                result.value = IExchangeWrapper(exchangeWrapper).exchange(
                                    accountOwner,
                                    address(this),
                                    supplyToken,
                                    borrowToken,
                                    requestedFillAmount.value,
                                    orderData
                                );
                        
                                transferIn(supplyToken, exchangeWrapper, result);
                        
                                return result;
                            }
                        }
                        
                        // File: contracts/protocol/impl/OperationImpl.sol
                        
                        /**
                         * @title OperationImpl
                         * @author dYdX
                         *
                         * Logic for processing actions
                         */
                        library OperationImpl {
                            using Cache for Cache.MarketCache;
                            using SafeMath for uint256;
                            using Storage for Storage.State;
                            using Types for Types.Par;
                            using Types for Types.Wei;
                        
                            // ============ Constants ============
                        
                            bytes32 constant FILE = "OperationImpl";
                        
                            // ============ Public Functions ============
                        
                            function operate(
                                Storage.State storage state,
                                Account.Info[] memory accounts,
                                Actions.ActionArgs[] memory actions
                            )
                                public
                            {
                                Events.logOperation();
                        
                                _verifyInputs(accounts, actions);
                        
                                (
                                    bool[] memory primaryAccounts,
                                    Cache.MarketCache memory cache
                                ) = _runPreprocessing(
                                    state,
                                    accounts,
                                    actions
                                );
                        
                                _runActions(
                                    state,
                                    accounts,
                                    actions,
                                    cache
                                );
                        
                                _verifyFinalState(
                                    state,
                                    accounts,
                                    primaryAccounts,
                                    cache
                                );
                            }
                        
                            // ============ Helper Functions ============
                        
                            function _verifyInputs(
                                Account.Info[] memory accounts,
                                Actions.ActionArgs[] memory actions
                            )
                                private
                                pure
                            {
                                Require.that(
                                    actions.length != 0,
                                    FILE,
                                    "Cannot have zero actions"
                                );
                        
                                Require.that(
                                    accounts.length != 0,
                                    FILE,
                                    "Cannot have zero accounts"
                                );
                        
                                for (uint256 a = 0; a < accounts.length; a++) {
                                    for (uint256 b = a + 1; b < accounts.length; b++) {
                                        Require.that(
                                            !Account.equals(accounts[a], accounts[b]),
                                            FILE,
                                            "Cannot duplicate accounts",
                                            a,
                                            b
                                        );
                                    }
                                }
                            }
                        
                            function _runPreprocessing(
                                Storage.State storage state,
                                Account.Info[] memory accounts,
                                Actions.ActionArgs[] memory actions
                            )
                                private
                                returns (
                                    bool[] memory,
                                    Cache.MarketCache memory
                                )
                            {
                                uint256 numMarkets = state.numMarkets;
                                bool[] memory primaryAccounts = new bool[](accounts.length);
                                Cache.MarketCache memory cache = Cache.create(numMarkets);
                        
                                // keep track of primary accounts and indexes that need updating
                                for (uint256 i = 0; i < actions.length; i++) {
                                    Actions.ActionArgs memory arg = actions[i];
                                    Actions.ActionType actionType = arg.actionType;
                                    Actions.MarketLayout marketLayout = Actions.getMarketLayout(actionType);
                                    Actions.AccountLayout accountLayout = Actions.getAccountLayout(actionType);
                        
                                    // parse out primary accounts
                                    if (accountLayout != Actions.AccountLayout.OnePrimary) {
                                        Require.that(
                                            arg.accountId != arg.otherAccountId,
                                            FILE,
                                            "Duplicate accounts in action",
                                            i
                                        );
                                        if (accountLayout == Actions.AccountLayout.TwoPrimary) {
                                            primaryAccounts[arg.otherAccountId] = true;
                                        } else {
                                            assert(accountLayout == Actions.AccountLayout.PrimaryAndSecondary);
                                            Require.that(
                                                !primaryAccounts[arg.otherAccountId],
                                                FILE,
                                                "Requires non-primary account",
                                                arg.otherAccountId
                                            );
                                        }
                                    }
                                    primaryAccounts[arg.accountId] = true;
                        
                                    // keep track of indexes to update
                                    if (marketLayout == Actions.MarketLayout.OneMarket) {
                                        _updateMarket(state, cache, arg.primaryMarketId);
                                    } else if (marketLayout == Actions.MarketLayout.TwoMarkets) {
                                        Require.that(
                                            arg.primaryMarketId != arg.secondaryMarketId,
                                            FILE,
                                            "Duplicate markets in action",
                                            i
                                        );
                                        _updateMarket(state, cache, arg.primaryMarketId);
                                        _updateMarket(state, cache, arg.secondaryMarketId);
                                    } else {
                                        assert(marketLayout == Actions.MarketLayout.ZeroMarkets);
                                    }
                                }
                        
                                // get any other markets for which an account has a balance
                                for (uint256 m = 0; m < numMarkets; m++) {
                                    if (cache.hasMarket(m)) {
                                        continue;
                                    }
                                    for (uint256 a = 0; a < accounts.length; a++) {
                                        if (!state.getPar(accounts[a], m).isZero()) {
                                            _updateMarket(state, cache, m);
                                            break;
                                        }
                                    }
                                }
                        
                                return (primaryAccounts, cache);
                            }
                        
                            function _updateMarket(
                                Storage.State storage state,
                                Cache.MarketCache memory cache,
                                uint256 marketId
                            )
                                private
                            {
                                bool updated = cache.addMarket(state, marketId);
                                if (updated) {
                                    Events.logIndexUpdate(marketId, state.updateIndex(marketId));
                                }
                            }
                        
                            function _runActions(
                                Storage.State storage state,
                                Account.Info[] memory accounts,
                                Actions.ActionArgs[] memory actions,
                                Cache.MarketCache memory cache
                            )
                                private
                            {
                                for (uint256 i = 0; i < actions.length; i++) {
                                    Actions.ActionArgs memory action = actions[i];
                                    Actions.ActionType actionType = action.actionType;
                        
                                    if (actionType == Actions.ActionType.Deposit) {
                                        _deposit(state, Actions.parseDepositArgs(accounts, action));
                                    }
                                    else if (actionType == Actions.ActionType.Withdraw) {
                                        _withdraw(state, Actions.parseWithdrawArgs(accounts, action));
                                    }
                                    else if (actionType == Actions.ActionType.Transfer) {
                                        _transfer(state, Actions.parseTransferArgs(accounts, action));
                                    }
                                    else if (actionType == Actions.ActionType.Buy) {
                                        _buy(state, Actions.parseBuyArgs(accounts, action));
                                    }
                                    else if (actionType == Actions.ActionType.Sell) {
                                        _sell(state, Actions.parseSellArgs(accounts, action));
                                    }
                                    else if (actionType == Actions.ActionType.Trade) {
                                        _trade(state, Actions.parseTradeArgs(accounts, action));
                                    }
                                    else if (actionType == Actions.ActionType.Liquidate) {
                                        _liquidate(state, Actions.parseLiquidateArgs(accounts, action), cache);
                                    }
                                    else if (actionType == Actions.ActionType.Vaporize) {
                                        _vaporize(state, Actions.parseVaporizeArgs(accounts, action), cache);
                                    }
                                    else  {
                                        assert(actionType == Actions.ActionType.Call);
                                        _call(state, Actions.parseCallArgs(accounts, action));
                                    }
                                }
                            }
                        
                            function _verifyFinalState(
                                Storage.State storage state,
                                Account.Info[] memory accounts,
                                bool[] memory primaryAccounts,
                                Cache.MarketCache memory cache
                            )
                                private
                            {
                                // verify no increase in borrowPar for closing markets
                                uint256 numMarkets = cache.getNumMarkets();
                                for (uint256 m = 0; m < numMarkets; m++) {
                                    if (cache.getIsClosing(m)) {
                                        Require.that(
                                            state.getTotalPar(m).borrow <= cache.getBorrowPar(m),
                                            FILE,
                                            "Market is closing",
                                            m
                                        );
                                    }
                                }
                        
                                // verify account collateralization
                                for (uint256 a = 0; a < accounts.length; a++) {
                                    Account.Info memory account = accounts[a];
                        
                                    // validate minBorrowedValue
                                    bool collateralized = state.isCollateralized(account, cache, true);
                        
                                    // don't check collateralization for non-primary accounts
                                    if (!primaryAccounts[a]) {
                                        continue;
                                    }
                        
                                    // check collateralization for primary accounts
                                    Require.that(
                                        collateralized,
                                        FILE,
                                        "Undercollateralized account",
                                        account.owner,
                                        account.number
                                    );
                        
                                    // ensure status is normal for primary accounts
                                    if (state.getStatus(account) != Account.Status.Normal) {
                                        state.setStatus(account, Account.Status.Normal);
                                    }
                                }
                            }
                        
                            // ============ Action Functions ============
                        
                            function _deposit(
                                Storage.State storage state,
                                Actions.DepositArgs memory args
                            )
                                private
                            {
                                state.requireIsOperator(args.account, msg.sender);
                        
                                Require.that(
                                    args.from == msg.sender || args.from == args.account.owner,
                                    FILE,
                                    "Invalid deposit source",
                                    args.from
                                );
                        
                                (
                                    Types.Par memory newPar,
                                    Types.Wei memory deltaWei
                                ) = state.getNewParAndDeltaWei(
                                    args.account,
                                    args.market,
                                    args.amount
                                );
                        
                                state.setPar(
                                    args.account,
                                    args.market,
                                    newPar
                                );
                        
                                // requires a positive deltaWei
                                Exchange.transferIn(
                                    state.getToken(args.market),
                                    args.from,
                                    deltaWei
                                );
                        
                                Events.logDeposit(
                                    state,
                                    args,
                                    deltaWei
                                );
                            }
                        
                            function _withdraw(
                                Storage.State storage state,
                                Actions.WithdrawArgs memory args
                            )
                                private
                            {
                                state.requireIsOperator(args.account, msg.sender);
                        
                                (
                                    Types.Par memory newPar,
                                    Types.Wei memory deltaWei
                                ) = state.getNewParAndDeltaWei(
                                    args.account,
                                    args.market,
                                    args.amount
                                );
                        
                                state.setPar(
                                    args.account,
                                    args.market,
                                    newPar
                                );
                        
                                // requires a negative deltaWei
                                Exchange.transferOut(
                                    state.getToken(args.market),
                                    args.to,
                                    deltaWei
                                );
                        
                                Events.logWithdraw(
                                    state,
                                    args,
                                    deltaWei
                                );
                            }
                        
                            function _transfer(
                                Storage.State storage state,
                                Actions.TransferArgs memory args
                            )
                                private
                            {
                                state.requireIsOperator(args.accountOne, msg.sender);
                                state.requireIsOperator(args.accountTwo, msg.sender);
                        
                                (
                                    Types.Par memory newPar,
                                    Types.Wei memory deltaWei
                                ) = state.getNewParAndDeltaWei(
                                    args.accountOne,
                                    args.market,
                                    args.amount
                                );
                        
                                state.setPar(
                                    args.accountOne,
                                    args.market,
                                    newPar
                                );
                        
                                state.setParFromDeltaWei(
                                    args.accountTwo,
                                    args.market,
                                    deltaWei.negative()
                                );
                        
                                Events.logTransfer(
                                    state,
                                    args,
                                    deltaWei
                                );
                            }
                        
                            function _buy(
                                Storage.State storage state,
                                Actions.BuyArgs memory args
                            )
                                private
                            {
                                state.requireIsOperator(args.account, msg.sender);
                        
                                address takerToken = state.getToken(args.takerMarket);
                                address makerToken = state.getToken(args.makerMarket);
                        
                                (
                                    Types.Par memory makerPar,
                                    Types.Wei memory makerWei
                                ) = state.getNewParAndDeltaWei(
                                    args.account,
                                    args.makerMarket,
                                    args.amount
                                );
                        
                                Types.Wei memory takerWei = Exchange.getCost(
                                    args.exchangeWrapper,
                                    makerToken,
                                    takerToken,
                                    makerWei,
                                    args.orderData
                                );
                        
                                Types.Wei memory tokensReceived = Exchange.exchange(
                                    args.exchangeWrapper,
                                    args.account.owner,
                                    makerToken,
                                    takerToken,
                                    takerWei,
                                    args.orderData
                                );
                        
                                Require.that(
                                    tokensReceived.value >= makerWei.value,
                                    FILE,
                                    "Buy amount less than promised",
                                    tokensReceived.value,
                                    makerWei.value
                                );
                        
                                state.setPar(
                                    args.account,
                                    args.makerMarket,
                                    makerPar
                                );
                        
                                state.setParFromDeltaWei(
                                    args.account,
                                    args.takerMarket,
                                    takerWei
                                );
                        
                                Events.logBuy(
                                    state,
                                    args,
                                    takerWei,
                                    makerWei
                                );
                            }
                        
                            function _sell(
                                Storage.State storage state,
                                Actions.SellArgs memory args
                            )
                                private
                            {
                                state.requireIsOperator(args.account, msg.sender);
                        
                                address takerToken = state.getToken(args.takerMarket);
                                address makerToken = state.getToken(args.makerMarket);
                        
                                (
                                    Types.Par memory takerPar,
                                    Types.Wei memory takerWei
                                ) = state.getNewParAndDeltaWei(
                                    args.account,
                                    args.takerMarket,
                                    args.amount
                                );
                        
                                Types.Wei memory makerWei = Exchange.exchange(
                                    args.exchangeWrapper,
                                    args.account.owner,
                                    makerToken,
                                    takerToken,
                                    takerWei,
                                    args.orderData
                                );
                        
                                state.setPar(
                                    args.account,
                                    args.takerMarket,
                                    takerPar
                                );
                        
                                state.setParFromDeltaWei(
                                    args.account,
                                    args.makerMarket,
                                    makerWei
                                );
                        
                                Events.logSell(
                                    state,
                                    args,
                                    takerWei,
                                    makerWei
                                );
                            }
                        
                            function _trade(
                                Storage.State storage state,
                                Actions.TradeArgs memory args
                            )
                                private
                            {
                                state.requireIsOperator(args.takerAccount, msg.sender);
                                state.requireIsOperator(args.makerAccount, args.autoTrader);
                        
                                Types.Par memory oldInputPar = state.getPar(
                                    args.makerAccount,
                                    args.inputMarket
                                );
                                (
                                    Types.Par memory newInputPar,
                                    Types.Wei memory inputWei
                                ) = state.getNewParAndDeltaWei(
                                    args.makerAccount,
                                    args.inputMarket,
                                    args.amount
                                );
                        
                                Types.AssetAmount memory outputAmount = IAutoTrader(args.autoTrader).getTradeCost(
                                    args.inputMarket,
                                    args.outputMarket,
                                    args.makerAccount,
                                    args.takerAccount,
                                    oldInputPar,
                                    newInputPar,
                                    inputWei,
                                    args.tradeData
                                );
                        
                                (
                                    Types.Par memory newOutputPar,
                                    Types.Wei memory outputWei
                                ) = state.getNewParAndDeltaWei(
                                    args.makerAccount,
                                    args.outputMarket,
                                    outputAmount
                                );
                        
                                Require.that(
                                    outputWei.isZero() || inputWei.isZero() || outputWei.sign != inputWei.sign,
                                    FILE,
                                    "Trades cannot be one-sided"
                                );
                        
                                // set the balance for the maker
                                state.setPar(
                                    args.makerAccount,
                                    args.inputMarket,
                                    newInputPar
                                );
                                state.setPar(
                                    args.makerAccount,
                                    args.outputMarket,
                                    newOutputPar
                                );
                        
                                // set the balance for the taker
                                state.setParFromDeltaWei(
                                    args.takerAccount,
                                    args.inputMarket,
                                    inputWei.negative()
                                );
                                state.setParFromDeltaWei(
                                    args.takerAccount,
                                    args.outputMarket,
                                    outputWei.negative()
                                );
                        
                                Events.logTrade(
                                    state,
                                    args,
                                    inputWei,
                                    outputWei
                                );
                            }
                        
                            function _liquidate(
                                Storage.State storage state,
                                Actions.LiquidateArgs memory args,
                                Cache.MarketCache memory cache
                            )
                                private
                            {
                                state.requireIsOperator(args.solidAccount, msg.sender);
                        
                                // verify liquidatable
                                if (Account.Status.Liquid != state.getStatus(args.liquidAccount)) {
                                    Require.that(
                                        !state.isCollateralized(args.liquidAccount, cache, /* requireMinBorrow = */ false),
                                        FILE,
                                        "Unliquidatable account",
                                        args.liquidAccount.owner,
                                        args.liquidAccount.number
                                    );
                                    state.setStatus(args.liquidAccount, Account.Status.Liquid);
                                }
                        
                                Types.Wei memory maxHeldWei = state.getWei(
                                    args.liquidAccount,
                                    args.heldMarket
                                );
                        
                                Require.that(
                                    !maxHeldWei.isNegative(),
                                    FILE,
                                    "Collateral cannot be negative",
                                    args.liquidAccount.owner,
                                    args.liquidAccount.number,
                                    args.heldMarket
                                );
                        
                                (
                                    Types.Par memory owedPar,
                                    Types.Wei memory owedWei
                                ) = state.getNewParAndDeltaWeiForLiquidation(
                                    args.liquidAccount,
                                    args.owedMarket,
                                    args.amount
                                );
                        
                                (
                                    Monetary.Price memory heldPrice,
                                    Monetary.Price memory owedPrice
                                ) = _getLiquidationPrices(
                                    state,
                                    cache,
                                    args.heldMarket,
                                    args.owedMarket
                                );
                        
                                Types.Wei memory heldWei = _owedWeiToHeldWei(owedWei, heldPrice, owedPrice);
                        
                                // if attempting to over-borrow the held asset, bound it by the maximum
                                if (heldWei.value > maxHeldWei.value) {
                                    heldWei = maxHeldWei.negative();
                                    owedWei = _heldWeiToOwedWei(heldWei, heldPrice, owedPrice);
                        
                                    state.setPar(
                                        args.liquidAccount,
                                        args.heldMarket,
                                        Types.zeroPar()
                                    );
                                    state.setParFromDeltaWei(
                                        args.liquidAccount,
                                        args.owedMarket,
                                        owedWei
                                    );
                                } else {
                                    state.setPar(
                                        args.liquidAccount,
                                        args.owedMarket,
                                        owedPar
                                    );
                                    state.setParFromDeltaWei(
                                        args.liquidAccount,
                                        args.heldMarket,
                                        heldWei
                                    );
                                }
                        
                                // set the balances for the solid account
                                state.setParFromDeltaWei(
                                    args.solidAccount,
                                    args.owedMarket,
                                    owedWei.negative()
                                );
                                state.setParFromDeltaWei(
                                    args.solidAccount,
                                    args.heldMarket,
                                    heldWei.negative()
                                );
                        
                                Events.logLiquidate(
                                    state,
                                    args,
                                    heldWei,
                                    owedWei
                                );
                            }
                        
                            function _vaporize(
                                Storage.State storage state,
                                Actions.VaporizeArgs memory args,
                                Cache.MarketCache memory cache
                            )
                                private
                            {
                                state.requireIsOperator(args.solidAccount, msg.sender);
                        
                                // verify vaporizable
                                if (Account.Status.Vapor != state.getStatus(args.vaporAccount)) {
                                    Require.that(
                                        state.isVaporizable(args.vaporAccount, cache),
                                        FILE,
                                        "Unvaporizable account",
                                        args.vaporAccount.owner,
                                        args.vaporAccount.number
                                    );
                                    state.setStatus(args.vaporAccount, Account.Status.Vapor);
                                }
                        
                                // First, attempt to refund using the same token
                                (
                                    bool fullyRepaid,
                                    Types.Wei memory excessWei
                                ) = _vaporizeUsingExcess(state, args);
                                if (fullyRepaid) {
                                    Events.logVaporize(
                                        state,
                                        args,
                                        Types.zeroWei(),
                                        Types.zeroWei(),
                                        excessWei
                                    );
                                    return;
                                }
                        
                                Types.Wei memory maxHeldWei = state.getNumExcessTokens(args.heldMarket);
                        
                                Require.that(
                                    !maxHeldWei.isNegative(),
                                    FILE,
                                    "Excess cannot be negative",
                                    args.heldMarket
                                );
                        
                                (
                                    Types.Par memory owedPar,
                                    Types.Wei memory owedWei
                                ) = state.getNewParAndDeltaWeiForLiquidation(
                                    args.vaporAccount,
                                    args.owedMarket,
                                    args.amount
                                );
                        
                                (
                                    Monetary.Price memory heldPrice,
                                    Monetary.Price memory owedPrice
                                ) = _getLiquidationPrices(
                                    state,
                                    cache,
                                    args.heldMarket,
                                    args.owedMarket
                                );
                        
                                Types.Wei memory heldWei = _owedWeiToHeldWei(owedWei, heldPrice, owedPrice);
                        
                                // if attempting to over-borrow the held asset, bound it by the maximum
                                if (heldWei.value > maxHeldWei.value) {
                                    heldWei = maxHeldWei.negative();
                                    owedWei = _heldWeiToOwedWei(heldWei, heldPrice, owedPrice);
                        
                                    state.setParFromDeltaWei(
                                        args.vaporAccount,
                                        args.owedMarket,
                                        owedWei
                                    );
                                } else {
                                    state.setPar(
                                        args.vaporAccount,
                                        args.owedMarket,
                                        owedPar
                                    );
                                }
                        
                                // set the balances for the solid account
                                state.setParFromDeltaWei(
                                    args.solidAccount,
                                    args.owedMarket,
                                    owedWei.negative()
                                );
                                state.setParFromDeltaWei(
                                    args.solidAccount,
                                    args.heldMarket,
                                    heldWei.negative()
                                );
                        
                                Events.logVaporize(
                                    state,
                                    args,
                                    heldWei,
                                    owedWei,
                                    excessWei
                                );
                            }
                        
                            function _call(
                                Storage.State storage state,
                                Actions.CallArgs memory args
                            )
                                private
                            {
                                state.requireIsOperator(args.account, msg.sender);
                        
                                ICallee(args.callee).callFunction(
                                    msg.sender,
                                    args.account,
                                    args.data
                                );
                        
                                Events.logCall(args);
                            }
                        
                            // ============ Private Functions ============
                        
                            /**
                             * For the purposes of liquidation or vaporization, get the value-equivalent amount of heldWei
                             * given owedWei and the (spread-adjusted) prices of each asset.
                             */
                            function _owedWeiToHeldWei(
                                Types.Wei memory owedWei,
                                Monetary.Price memory heldPrice,
                                Monetary.Price memory owedPrice
                            )
                                private
                                pure
                                returns (Types.Wei memory)
                            {
                                return Types.Wei({
                                    sign: false,
                                    value: Math.getPartial(owedWei.value, owedPrice.value, heldPrice.value)
                                });
                            }
                        
                            /**
                             * For the purposes of liquidation or vaporization, get the value-equivalent amount of owedWei
                             * given heldWei and the (spread-adjusted) prices of each asset.
                             */
                            function _heldWeiToOwedWei(
                                Types.Wei memory heldWei,
                                Monetary.Price memory heldPrice,
                                Monetary.Price memory owedPrice
                            )
                                private
                                pure
                                returns (Types.Wei memory)
                            {
                                return Types.Wei({
                                    sign: true,
                                    value: Math.getPartialRoundUp(heldWei.value, heldPrice.value, owedPrice.value)
                                });
                            }
                        
                            /**
                             * Attempt to vaporize an account's balance using the excess tokens in the protocol. Return a
                             * bool and a wei value. The boolean is true if and only if the balance was fully vaporized. The
                             * Wei value is how many excess tokens were used to partially or fully vaporize the account's
                             * negative balance.
                             */
                            function _vaporizeUsingExcess(
                                Storage.State storage state,
                                Actions.VaporizeArgs memory args
                            )
                                internal
                                returns (bool, Types.Wei memory)
                            {
                                Types.Wei memory excessWei = state.getNumExcessTokens(args.owedMarket);
                        
                                // There are no excess funds, return zero
                                if (!excessWei.isPositive()) {
                                    return (false, Types.zeroWei());
                                }
                        
                                Types.Wei memory maxRefundWei = state.getWei(args.vaporAccount, args.owedMarket);
                                maxRefundWei.sign = true;
                        
                                // The account is fully vaporizable using excess funds
                                if (excessWei.value >= maxRefundWei.value) {
                                    state.setPar(
                                        args.vaporAccount,
                                        args.owedMarket,
                                        Types.zeroPar()
                                    );
                                    return (true, maxRefundWei);
                                }
                        
                                // The account is only partially vaporizable using excess funds
                                else {
                                    state.setParFromDeltaWei(
                                        args.vaporAccount,
                                        args.owedMarket,
                                        excessWei
                                    );
                                    return (false, excessWei);
                                }
                            }
                        
                            /**
                             * Return the (spread-adjusted) prices of two assets for the purposes of liquidation or
                             * vaporization.
                             */
                            function _getLiquidationPrices(
                                Storage.State storage state,
                                Cache.MarketCache memory cache,
                                uint256 heldMarketId,
                                uint256 owedMarketId
                            )
                                internal
                                view
                                returns (
                                    Monetary.Price memory,
                                    Monetary.Price memory
                                )
                            {
                                uint256 originalPrice = cache.getPrice(owedMarketId).value;
                                Decimal.D256 memory spread = state.getLiquidationSpreadForPair(
                                    heldMarketId,
                                    owedMarketId
                                );
                        
                                Monetary.Price memory owedPrice = Monetary.Price({
                                    value: originalPrice.add(Decimal.mul(originalPrice, spread))
                                });
                        
                                return (cache.getPrice(heldMarketId), owedPrice);
                            }
                        }
                        
                        // File: contracts/protocol/Operation.sol
                        
                        /**
                         * @title Operation
                         * @author dYdX
                         *
                         * Primary public function for allowing users and contracts to manage accounts within Solo
                         */
                        contract Operation is
                            State,
                            ReentrancyGuard
                        {
                            // ============ Public Functions ============
                        
                            /**
                             * The main entry-point to Solo that allows users and contracts to manage accounts.
                             * Take one or more actions on one or more accounts. The msg.sender must be the owner or
                             * operator of all accounts except for those being liquidated, vaporized, or traded with.
                             * One call to operate() is considered a singular "operation". Account collateralization is
                             * ensured only after the completion of the entire operation.
                             *
                             * @param  accounts  A list of all accounts that will be used in this operation. Cannot contain
                             *                   duplicates. In each action, the relevant account will be referred-to by its
                             *                   index in the list.
                             * @param  actions   An ordered list of all actions that will be taken in this operation. The
                             *                   actions will be processed in order.
                             */
                            function operate(
                                Account.Info[] memory accounts,
                                Actions.ActionArgs[] memory actions
                            )
                                public
                                nonReentrant
                            {
                                OperationImpl.operate(
                                    g_state,
                                    accounts,
                                    actions
                                );
                            }
                        }
                        
                        // File: contracts/protocol/Permission.sol
                        
                        /**
                         * @title Permission
                         * @author dYdX
                         *
                         * Public function that allows other addresses to manage accounts
                         */
                        contract Permission is
                            State
                        {
                            // ============ Events ============
                        
                            event LogOperatorSet(
                                address indexed owner,
                                address operator,
                                bool trusted
                            );
                        
                            // ============ Structs ============
                        
                            struct OperatorArg {
                                address operator;
                                bool trusted;
                            }
                        
                            // ============ Public Functions ============
                        
                            /**
                             * Approves/disapproves any number of operators. An operator is an external address that has the
                             * same permissions to manipulate an account as the owner of the account. Operators are simply
                             * addresses and therefore may either be externally-owned Ethereum accounts OR smart contracts.
                             *
                             * Operators are also able to act as AutoTrader contracts on behalf of the account owner if the
                             * operator is a smart contract and implements the IAutoTrader interface.
                             *
                             * @param  args  A list of OperatorArgs which have an address and a boolean. The boolean value
                             *               denotes whether to approve (true) or revoke approval (false) for that address.
                             */
                            function setOperators(
                                OperatorArg[] memory args
                            )
                                public
                            {
                                for (uint256 i = 0; i < args.length; i++) {
                                    address operator = args[i].operator;
                                    bool trusted = args[i].trusted;
                                    g_state.operators[msg.sender][operator] = trusted;
                                    emit LogOperatorSet(msg.sender, operator, trusted);
                                }
                            }
                        }
                        
                        // File: contracts/protocol/SoloMargin.sol
                        
                        /**
                         * @title SoloMargin
                         * @author dYdX
                         *
                         * Main contract that inherits from other contracts
                         */
                        contract SoloMargin is
                            State,
                            Admin,
                            Getters,
                            Operation,
                            Permission
                        {
                            // ============ Constructor ============
                        
                            constructor(
                                Storage.RiskParams memory riskParams,
                                Storage.RiskLimits memory riskLimits
                            )
                                public
                            {
                                g_state.riskParams = riskParams;
                                g_state.riskLimits = riskLimits;
                            }
                        }

                        File 2 of 15: WETH9
                        // Copyright (C) 2015, 2016, 2017 Dapphub
                        
                        // This program is free software: you can redistribute it and/or modify
                        // it under the terms of the GNU General Public License as published by
                        // the Free Software Foundation, either version 3 of the License, or
                        // (at your option) any later version.
                        
                        // This program is distributed in the hope that it will be useful,
                        // but WITHOUT ANY WARRANTY; without even the implied warranty of
                        // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
                        // GNU General Public License for more details.
                        
                        // You should have received a copy of the GNU General Public License
                        // along with this program.  If not, see <http://www.gnu.org/licenses/>.
                        
                        pragma solidity ^0.4.18;
                        
                        contract WETH9 {
                            string public name     = "Wrapped Ether";
                            string public symbol   = "WETH";
                            uint8  public decimals = 18;
                        
                            event  Approval(address indexed src, address indexed guy, uint wad);
                            event  Transfer(address indexed src, address indexed dst, uint wad);
                            event  Deposit(address indexed dst, uint wad);
                            event  Withdrawal(address indexed src, uint wad);
                        
                            mapping (address => uint)                       public  balanceOf;
                            mapping (address => mapping (address => uint))  public  allowance;
                        
                            function() public payable {
                                deposit();
                            }
                            function deposit() public payable {
                                balanceOf[msg.sender] += msg.value;
                                Deposit(msg.sender, msg.value);
                            }
                            function withdraw(uint wad) public {
                                require(balanceOf[msg.sender] >= wad);
                                balanceOf[msg.sender] -= wad;
                                msg.sender.transfer(wad);
                                Withdrawal(msg.sender, wad);
                            }
                        
                            function totalSupply() public view returns (uint) {
                                return this.balance;
                            }
                        
                            function approve(address guy, uint wad) public returns (bool) {
                                allowance[msg.sender][guy] = wad;
                                Approval(msg.sender, guy, wad);
                                return true;
                            }
                        
                            function transfer(address dst, uint wad) public returns (bool) {
                                return transferFrom(msg.sender, dst, wad);
                            }
                        
                            function transferFrom(address src, address dst, uint wad)
                                public
                                returns (bool)
                            {
                                require(balanceOf[src] >= wad);
                        
                                if (src != msg.sender && allowance[src][msg.sender] != uint(-1)) {
                                    require(allowance[src][msg.sender] >= wad);
                                    allowance[src][msg.sender] -= wad;
                                }
                        
                                balanceOf[src] -= wad;
                                balanceOf[dst] += wad;
                        
                                Transfer(src, dst, wad);
                        
                                return true;
                            }
                        }
                        
                        
                        /*
                                            GNU GENERAL PUBLIC LICENSE
                                               Version 3, 29 June 2007
                        
                         Copyright (C) 2007 Free Software Foundation, Inc. <http://fsf.org/>
                         Everyone is permitted to copy and distribute verbatim copies
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                        File 3 of 15: UniswapV2Pair
                        // File: contracts/uniswapv2/interfaces/IUniswapV2Factory.sol
                        
                        pragma solidity >=0.5.0;
                        
                        interface IUniswapV2Factory {
                            event PairCreated(address indexed token0, address indexed token1, address pair, uint);
                        
                            function feeTo() external view returns (address);
                            function feeToSetter() external view returns (address);
                            function migrator() external view returns (address);
                        
                            function getPair(address tokenA, address tokenB) external view returns (address pair);
                            function allPairs(uint) external view returns (address pair);
                            function allPairsLength() external view returns (uint);
                        
                            function createPair(address tokenA, address tokenB) external returns (address pair);
                        
                            function setFeeTo(address) external;
                            function setFeeToSetter(address) external;
                            function setMigrator(address) external;
                        }
                        
                        // File: contracts/uniswapv2/libraries/SafeMath.sol
                        
                        pragma solidity =0.6.12;
                        
                        // a library for performing overflow-safe math, courtesy of DappHub (https://github.com/dapphub/ds-math)
                        
                        library SafeMathUniswap {
                            function add(uint x, uint y) internal pure returns (uint z) {
                                require((z = x + y) >= x, 'ds-math-add-overflow');
                            }
                        
                            function sub(uint x, uint y) internal pure returns (uint z) {
                                require((z = x - y) <= x, 'ds-math-sub-underflow');
                            }
                        
                            function mul(uint x, uint y) internal pure returns (uint z) {
                                require(y == 0 || (z = x * y) / y == x, 'ds-math-mul-overflow');
                            }
                        }
                        
                        // File: contracts/uniswapv2/UniswapV2ERC20.sol
                        
                        pragma solidity =0.6.12;
                        
                        
                        contract UniswapV2ERC20 {
                            using SafeMathUniswap for uint;
                        
                            string public constant name = 'SushiSwap LP Token';
                            string public constant symbol = 'SLP';
                            uint8 public constant decimals = 18;
                            uint  public totalSupply;
                            mapping(address => uint) public balanceOf;
                            mapping(address => mapping(address => uint)) public allowance;
                        
                            bytes32 public DOMAIN_SEPARATOR;
                            // keccak256("Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)");
                            bytes32 public constant PERMIT_TYPEHASH = 0x6e71edae12b1b97f4d1f60370fef10105fa2faae0126114a169c64845d6126c9;
                            mapping(address => uint) public nonces;
                        
                            event Approval(address indexed owner, address indexed spender, uint value);
                            event Transfer(address indexed from, address indexed to, uint value);
                        
                            constructor() public {
                                uint chainId;
                                assembly {
                                    chainId := chainid()
                                }
                                DOMAIN_SEPARATOR = keccak256(
                                    abi.encode(
                                        keccak256('EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)'),
                                        keccak256(bytes(name)),
                                        keccak256(bytes('1')),
                                        chainId,
                                        address(this)
                                    )
                                );
                            }
                        
                            function _mint(address to, uint value) internal {
                                totalSupply = totalSupply.add(value);
                                balanceOf[to] = balanceOf[to].add(value);
                                emit Transfer(address(0), to, value);
                            }
                        
                            function _burn(address from, uint value) internal {
                                balanceOf[from] = balanceOf[from].sub(value);
                                totalSupply = totalSupply.sub(value);
                                emit Transfer(from, address(0), value);
                            }
                        
                            function _approve(address owner, address spender, uint value) private {
                                allowance[owner][spender] = value;
                                emit Approval(owner, spender, value);
                            }
                        
                            function _transfer(address from, address to, uint value) private {
                                balanceOf[from] = balanceOf[from].sub(value);
                                balanceOf[to] = balanceOf[to].add(value);
                                emit Transfer(from, to, value);
                            }
                        
                            function approve(address spender, uint value) external returns (bool) {
                                _approve(msg.sender, spender, value);
                                return true;
                            }
                        
                            function transfer(address to, uint value) external returns (bool) {
                                _transfer(msg.sender, to, value);
                                return true;
                            }
                        
                            function transferFrom(address from, address to, uint value) external returns (bool) {
                                if (allowance[from][msg.sender] != uint(-1)) {
                                    allowance[from][msg.sender] = allowance[from][msg.sender].sub(value);
                                }
                                _transfer(from, to, value);
                                return true;
                            }
                        
                            function permit(address owner, address spender, uint value, uint deadline, uint8 v, bytes32 r, bytes32 s) external {
                                require(deadline >= block.timestamp, 'UniswapV2: EXPIRED');
                                bytes32 digest = keccak256(
                                    abi.encodePacked(
                                        '\x19\x01',
                                        DOMAIN_SEPARATOR,
                                        keccak256(abi.encode(PERMIT_TYPEHASH, owner, spender, value, nonces[owner]++, deadline))
                                    )
                                );
                                address recoveredAddress = ecrecover(digest, v, r, s);
                                require(recoveredAddress != address(0) && recoveredAddress == owner, 'UniswapV2: INVALID_SIGNATURE');
                                _approve(owner, spender, value);
                            }
                        }
                        
                        // File: contracts/uniswapv2/libraries/Math.sol
                        
                        pragma solidity =0.6.12;
                        
                        // a library for performing various math operations
                        
                        library Math {
                            function min(uint x, uint y) internal pure returns (uint z) {
                                z = x < y ? x : y;
                            }
                        
                            // babylonian method (https://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Babylonian_method)
                            function sqrt(uint y) internal pure returns (uint z) {
                                if (y > 3) {
                                    z = y;
                                    uint x = y / 2 + 1;
                                    while (x < z) {
                                        z = x;
                                        x = (y / x + x) / 2;
                                    }
                                } else if (y != 0) {
                                    z = 1;
                                }
                            }
                        }
                        
                        // File: contracts/uniswapv2/libraries/UQ112x112.sol
                        
                        pragma solidity =0.6.12;
                        
                        // a library for handling binary fixed point numbers (https://en.wikipedia.org/wiki/Q_(number_format))
                        
                        // range: [0, 2**112 - 1]
                        // resolution: 1 / 2**112
                        
                        library UQ112x112 {
                            uint224 constant Q112 = 2**112;
                        
                            // encode a uint112 as a UQ112x112
                            function encode(uint112 y) internal pure returns (uint224 z) {
                                z = uint224(y) * Q112; // never overflows
                            }
                        
                            // divide a UQ112x112 by a uint112, returning a UQ112x112
                            function uqdiv(uint224 x, uint112 y) internal pure returns (uint224 z) {
                                z = x / uint224(y);
                            }
                        }
                        
                        // File: contracts/uniswapv2/interfaces/IERC20.sol
                        
                        pragma solidity >=0.5.0;
                        
                        interface IERC20Uniswap {
                            event Approval(address indexed owner, address indexed spender, uint value);
                            event Transfer(address indexed from, address indexed to, uint value);
                        
                            function name() external view returns (string memory);
                            function symbol() external view returns (string memory);
                            function decimals() external view returns (uint8);
                            function totalSupply() external view returns (uint);
                            function balanceOf(address owner) external view returns (uint);
                            function allowance(address owner, address spender) external view returns (uint);
                        
                            function approve(address spender, uint value) external returns (bool);
                            function transfer(address to, uint value) external returns (bool);
                            function transferFrom(address from, address to, uint value) external returns (bool);
                        }
                        
                        // File: contracts/uniswapv2/interfaces/IUniswapV2Callee.sol
                        
                        pragma solidity >=0.5.0;
                        
                        interface IUniswapV2Callee {
                            function uniswapV2Call(address sender, uint amount0, uint amount1, bytes calldata data) external;
                        }
                        
                        // File: contracts/uniswapv2/UniswapV2Pair.sol
                        
                        pragma solidity =0.6.12;
                        
                        
                        
                        
                        
                        
                        
                        
                        interface IMigrator {
                            // Return the desired amount of liquidity token that the migrator wants.
                            function desiredLiquidity() external view returns (uint256);
                        }
                        
                        contract UniswapV2Pair is UniswapV2ERC20 {
                            using SafeMathUniswap  for uint;
                            using UQ112x112 for uint224;
                        
                            uint public constant MINIMUM_LIQUIDITY = 10**3;
                            bytes4 private constant SELECTOR = bytes4(keccak256(bytes('transfer(address,uint256)')));
                        
                            address public factory;
                            address public token0;
                            address public token1;
                        
                            uint112 private reserve0;           // uses single storage slot, accessible via getReserves
                            uint112 private reserve1;           // uses single storage slot, accessible via getReserves
                            uint32  private blockTimestampLast; // uses single storage slot, accessible via getReserves
                        
                            uint public price0CumulativeLast;
                            uint public price1CumulativeLast;
                            uint public kLast; // reserve0 * reserve1, as of immediately after the most recent liquidity event
                        
                            uint private unlocked = 1;
                            modifier lock() {
                                require(unlocked == 1, 'UniswapV2: LOCKED');
                                unlocked = 0;
                                _;
                                unlocked = 1;
                            }
                        
                            function getReserves() public view returns (uint112 _reserve0, uint112 _reserve1, uint32 _blockTimestampLast) {
                                _reserve0 = reserve0;
                                _reserve1 = reserve1;
                                _blockTimestampLast = blockTimestampLast;
                            }
                        
                            function _safeTransfer(address token, address to, uint value) private {
                                (bool success, bytes memory data) = token.call(abi.encodeWithSelector(SELECTOR, to, value));
                                require(success && (data.length == 0 || abi.decode(data, (bool))), 'UniswapV2: TRANSFER_FAILED');
                            }
                        
                            event Mint(address indexed sender, uint amount0, uint amount1);
                            event Burn(address indexed sender, uint amount0, uint amount1, address indexed to);
                            event Swap(
                                address indexed sender,
                                uint amount0In,
                                uint amount1In,
                                uint amount0Out,
                                uint amount1Out,
                                address indexed to
                            );
                            event Sync(uint112 reserve0, uint112 reserve1);
                        
                            constructor() public {
                                factory = msg.sender;
                            }
                        
                            // called once by the factory at time of deployment
                            function initialize(address _token0, address _token1) external {
                                require(msg.sender == factory, 'UniswapV2: FORBIDDEN'); // sufficient check
                                token0 = _token0;
                                token1 = _token1;
                            }
                        
                            // update reserves and, on the first call per block, price accumulators
                            function _update(uint balance0, uint balance1, uint112 _reserve0, uint112 _reserve1) private {
                                require(balance0 <= uint112(-1) && balance1 <= uint112(-1), 'UniswapV2: OVERFLOW');
                                uint32 blockTimestamp = uint32(block.timestamp % 2**32);
                                uint32 timeElapsed = blockTimestamp - blockTimestampLast; // overflow is desired
                                if (timeElapsed > 0 && _reserve0 != 0 && _reserve1 != 0) {
                                    // * never overflows, and + overflow is desired
                                    price0CumulativeLast += uint(UQ112x112.encode(_reserve1).uqdiv(_reserve0)) * timeElapsed;
                                    price1CumulativeLast += uint(UQ112x112.encode(_reserve0).uqdiv(_reserve1)) * timeElapsed;
                                }
                                reserve0 = uint112(balance0);
                                reserve1 = uint112(balance1);
                                blockTimestampLast = blockTimestamp;
                                emit Sync(reserve0, reserve1);
                            }
                        
                            // if fee is on, mint liquidity equivalent to 1/6th of the growth in sqrt(k)
                            function _mintFee(uint112 _reserve0, uint112 _reserve1) private returns (bool feeOn) {
                                address feeTo = IUniswapV2Factory(factory).feeTo();
                                feeOn = feeTo != address(0);
                                uint _kLast = kLast; // gas savings
                                if (feeOn) {
                                    if (_kLast != 0) {
                                        uint rootK = Math.sqrt(uint(_reserve0).mul(_reserve1));
                                        uint rootKLast = Math.sqrt(_kLast);
                                        if (rootK > rootKLast) {
                                            uint numerator = totalSupply.mul(rootK.sub(rootKLast));
                                            uint denominator = rootK.mul(5).add(rootKLast);
                                            uint liquidity = numerator / denominator;
                                            if (liquidity > 0) _mint(feeTo, liquidity);
                                        }
                                    }
                                } else if (_kLast != 0) {
                                    kLast = 0;
                                }
                            }
                        
                            // this low-level function should be called from a contract which performs important safety checks
                            function mint(address to) external lock returns (uint liquidity) {
                                (uint112 _reserve0, uint112 _reserve1,) = getReserves(); // gas savings
                                uint balance0 = IERC20Uniswap(token0).balanceOf(address(this));
                                uint balance1 = IERC20Uniswap(token1).balanceOf(address(this));
                                uint amount0 = balance0.sub(_reserve0);
                                uint amount1 = balance1.sub(_reserve1);
                        
                                bool feeOn = _mintFee(_reserve0, _reserve1);
                                uint _totalSupply = totalSupply; // gas savings, must be defined here since totalSupply can update in _mintFee
                                if (_totalSupply == 0) {
                                    address migrator = IUniswapV2Factory(factory).migrator();
                                    if (msg.sender == migrator) {
                                        liquidity = IMigrator(migrator).desiredLiquidity();
                                        require(liquidity > 0 && liquidity != uint256(-1), "Bad desired liquidity");
                                    } else {
                                        require(migrator == address(0), "Must not have migrator");
                                        liquidity = Math.sqrt(amount0.mul(amount1)).sub(MINIMUM_LIQUIDITY);
                                        _mint(address(0), MINIMUM_LIQUIDITY); // permanently lock the first MINIMUM_LIQUIDITY tokens
                                    }
                                } else {
                                    liquidity = Math.min(amount0.mul(_totalSupply) / _reserve0, amount1.mul(_totalSupply) / _reserve1);
                                }
                                require(liquidity > 0, 'UniswapV2: INSUFFICIENT_LIQUIDITY_MINTED');
                                _mint(to, liquidity);
                        
                                _update(balance0, balance1, _reserve0, _reserve1);
                                if (feeOn) kLast = uint(reserve0).mul(reserve1); // reserve0 and reserve1 are up-to-date
                                emit Mint(msg.sender, amount0, amount1);
                            }
                        
                            // this low-level function should be called from a contract which performs important safety checks
                            function burn(address to) external lock returns (uint amount0, uint amount1) {
                                (uint112 _reserve0, uint112 _reserve1,) = getReserves(); // gas savings
                                address _token0 = token0;                                // gas savings
                                address _token1 = token1;                                // gas savings
                                uint balance0 = IERC20Uniswap(_token0).balanceOf(address(this));
                                uint balance1 = IERC20Uniswap(_token1).balanceOf(address(this));
                                uint liquidity = balanceOf[address(this)];
                        
                                bool feeOn = _mintFee(_reserve0, _reserve1);
                                uint _totalSupply = totalSupply; // gas savings, must be defined here since totalSupply can update in _mintFee
                                amount0 = liquidity.mul(balance0) / _totalSupply; // using balances ensures pro-rata distribution
                                amount1 = liquidity.mul(balance1) / _totalSupply; // using balances ensures pro-rata distribution
                                require(amount0 > 0 && amount1 > 0, 'UniswapV2: INSUFFICIENT_LIQUIDITY_BURNED');
                                _burn(address(this), liquidity);
                                _safeTransfer(_token0, to, amount0);
                                _safeTransfer(_token1, to, amount1);
                                balance0 = IERC20Uniswap(_token0).balanceOf(address(this));
                                balance1 = IERC20Uniswap(_token1).balanceOf(address(this));
                        
                                _update(balance0, balance1, _reserve0, _reserve1);
                                if (feeOn) kLast = uint(reserve0).mul(reserve1); // reserve0 and reserve1 are up-to-date
                                emit Burn(msg.sender, amount0, amount1, to);
                            }
                        
                            // this low-level function should be called from a contract which performs important safety checks
                            function swap(uint amount0Out, uint amount1Out, address to, bytes calldata data) external lock {
                                require(amount0Out > 0 || amount1Out > 0, 'UniswapV2: INSUFFICIENT_OUTPUT_AMOUNT');
                                (uint112 _reserve0, uint112 _reserve1,) = getReserves(); // gas savings
                                require(amount0Out < _reserve0 && amount1Out < _reserve1, 'UniswapV2: INSUFFICIENT_LIQUIDITY');
                        
                                uint balance0;
                                uint balance1;
                                { // scope for _token{0,1}, avoids stack too deep errors
                                address _token0 = token0;
                                address _token1 = token1;
                                require(to != _token0 && to != _token1, 'UniswapV2: INVALID_TO');
                                if (amount0Out > 0) _safeTransfer(_token0, to, amount0Out); // optimistically transfer tokens
                                if (amount1Out > 0) _safeTransfer(_token1, to, amount1Out); // optimistically transfer tokens
                                if (data.length > 0) IUniswapV2Callee(to).uniswapV2Call(msg.sender, amount0Out, amount1Out, data);
                                balance0 = IERC20Uniswap(_token0).balanceOf(address(this));
                                balance1 = IERC20Uniswap(_token1).balanceOf(address(this));
                                }
                                uint amount0In = balance0 > _reserve0 - amount0Out ? balance0 - (_reserve0 - amount0Out) : 0;
                                uint amount1In = balance1 > _reserve1 - amount1Out ? balance1 - (_reserve1 - amount1Out) : 0;
                                require(amount0In > 0 || amount1In > 0, 'UniswapV2: INSUFFICIENT_INPUT_AMOUNT');
                                { // scope for reserve{0,1}Adjusted, avoids stack too deep errors
                                uint balance0Adjusted = balance0.mul(1000).sub(amount0In.mul(3));
                                uint balance1Adjusted = balance1.mul(1000).sub(amount1In.mul(3));
                                require(balance0Adjusted.mul(balance1Adjusted) >= uint(_reserve0).mul(_reserve1).mul(1000**2), 'UniswapV2: K');
                                }
                        
                                _update(balance0, balance1, _reserve0, _reserve1);
                                emit Swap(msg.sender, amount0In, amount1In, amount0Out, amount1Out, to);
                            }
                        
                            // force balances to match reserves
                            function skim(address to) external lock {
                                address _token0 = token0; // gas savings
                                address _token1 = token1; // gas savings
                                _safeTransfer(_token0, to, IERC20Uniswap(_token0).balanceOf(address(this)).sub(reserve0));
                                _safeTransfer(_token1, to, IERC20Uniswap(_token1).balanceOf(address(this)).sub(reserve1));
                            }
                        
                            // force reserves to match balances
                            function sync() external lock {
                                _update(IERC20Uniswap(token0).balanceOf(address(this)), IERC20Uniswap(token1).balanceOf(address(this)), reserve0, reserve1);
                            }
                        }

                        File 4 of 15: AlphaToken
                        // File: @openzeppelin/contracts/GSN/Context.sol
                        
                        
                        pragma solidity ^0.6.0;
                        
                        /*
                         * @dev Provides information about the current execution context, including the
                         * sender of the transaction and its data. While these are generally available
                         * via msg.sender and msg.data, they should not be accessed in such a direct
                         * manner, since when dealing with GSN meta-transactions the account sending and
                         * paying for execution may not be the actual sender (as far as an application
                         * is concerned).
                         *
                         * This contract is only required for intermediate, library-like contracts.
                         */
                        abstract contract Context {
                            function _msgSender() internal view virtual returns (address payable) {
                                return msg.sender;
                            }
                        
                            function _msgData() internal view virtual returns (bytes memory) {
                                this; // silence state mutability warning without generating bytecode - see https://github.com/ethereum/solidity/issues/2691
                                return msg.data;
                            }
                        }
                        
                        // File: @openzeppelin/contracts/access/Ownable.sol
                        
                        
                        pragma solidity ^0.6.0;
                        
                        /**
                         * @dev Contract module which provides a basic access control mechanism, where
                         * there is an account (an owner) that can be granted exclusive access to
                         * specific functions.
                         *
                         * By default, the owner account will be the one that deploys the contract. This
                         * can later be changed with {transferOwnership}.
                         *
                         * This module is used through inheritance. It will make available the modifier
                         * `onlyOwner`, which can be applied to your functions to restrict their use to
                         * the owner.
                         */
                        contract Ownable is Context {
                            address private _owner;
                        
                            event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);
                        
                            /**
                             * @dev Initializes the contract setting the deployer as the initial owner.
                             */
                            constructor () internal {
                                address msgSender = _msgSender();
                                _owner = msgSender;
                                emit OwnershipTransferred(address(0), msgSender);
                            }
                        
                            /**
                             * @dev Returns the address of the current owner.
                             */
                            function owner() public view returns (address) {
                                return _owner;
                            }
                        
                            /**
                             * @dev Throws if called by any account other than the owner.
                             */
                            modifier onlyOwner() {
                                require(_owner == _msgSender(), "Ownable: caller is not the owner");
                                _;
                            }
                        
                            /**
                             * @dev Leaves the contract without owner. It will not be possible to call
                             * `onlyOwner` functions anymore. Can only be called by the current owner.
                             *
                             * NOTE: Renouncing ownership will leave the contract without an owner,
                             * thereby removing any functionality that is only available to the owner.
                             */
                            function renounceOwnership() public virtual onlyOwner {
                                emit OwnershipTransferred(_owner, address(0));
                                _owner = address(0);
                            }
                        
                            /**
                             * @dev Transfers ownership of the contract to a new account (`newOwner`).
                             * Can only be called by the current owner.
                             */
                            function transferOwnership(address newOwner) public virtual onlyOwner {
                                require(newOwner != address(0), "Ownable: new owner is the zero address");
                                emit OwnershipTransferred(_owner, newOwner);
                                _owner = newOwner;
                            }
                        }
                        
                        // File: @openzeppelin/contracts/token/ERC20/IERC20.sol
                        
                        
                        pragma solidity ^0.6.0;
                        
                        /**
                         * @dev Interface of the ERC20 standard as defined in the EIP.
                         */
                        interface IERC20 {
                            /**
                             * @dev Returns the amount of tokens in existence.
                             */
                            function totalSupply() external view returns (uint256);
                        
                            /**
                             * @dev Returns the amount of tokens owned by `account`.
                             */
                            function balanceOf(address account) external view returns (uint256);
                        
                            /**
                             * @dev Moves `amount` tokens from the caller's account to `recipient`.
                             *
                             * Returns a boolean value indicating whether the operation succeeded.
                             *
                             * Emits a {Transfer} event.
                             */
                            function transfer(address recipient, uint256 amount) external returns (bool);
                        
                            /**
                             * @dev Returns the remaining number of tokens that `spender` will be
                             * allowed to spend on behalf of `owner` through {transferFrom}. This is
                             * zero by default.
                             *
                             * This value changes when {approve} or {transferFrom} are called.
                             */
                            function allowance(address owner, address spender) external view returns (uint256);
                        
                            /**
                             * @dev Sets `amount` as the allowance of `spender` over the caller's tokens.
                             *
                             * Returns a boolean value indicating whether the operation succeeded.
                             *
                             * IMPORTANT: Beware that changing an allowance with this method brings the risk
                             * that someone may use both the old and the new allowance by unfortunate
                             * transaction ordering. One possible solution to mitigate this race
                             * condition is to first reduce the spender's allowance to 0 and set the
                             * desired value afterwards:
                             * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
                             *
                             * Emits an {Approval} event.
                             */
                            function approve(address spender, uint256 amount) external returns (bool);
                        
                            /**
                             * @dev Moves `amount` tokens from `sender` to `recipient` using the
                             * allowance mechanism. `amount` is then deducted from the caller's
                             * allowance.
                             *
                             * Returns a boolean value indicating whether the operation succeeded.
                             *
                             * Emits a {Transfer} event.
                             */
                            function transferFrom(address sender, address recipient, uint256 amount) external returns (bool);
                        
                            /**
                             * @dev Emitted when `value` tokens are moved from one account (`from`) to
                             * another (`to`).
                             *
                             * Note that `value` may be zero.
                             */
                            event Transfer(address indexed from, address indexed to, uint256 value);
                        
                            /**
                             * @dev Emitted when the allowance of a `spender` for an `owner` is set by
                             * a call to {approve}. `value` is the new allowance.
                             */
                            event Approval(address indexed owner, address indexed spender, uint256 value);
                        }
                        
                        // File: @openzeppelin/contracts/math/SafeMath.sol
                        
                        
                        pragma solidity ^0.6.0;
                        
                        /**
                         * @dev Wrappers over Solidity's arithmetic operations with added overflow
                         * checks.
                         *
                         * Arithmetic operations in Solidity wrap on overflow. This can easily result
                         * in bugs, because programmers usually assume that an overflow raises an
                         * error, which is the standard behavior in high level programming languages.
                         * `SafeMath` restores this intuition by reverting the transaction when an
                         * operation overflows.
                         *
                         * Using this library instead of the unchecked operations eliminates an entire
                         * class of bugs, so it's recommended to use it always.
                         */
                        library SafeMath {
                            /**
                             * @dev Returns the addition of two unsigned integers, reverting on
                             * overflow.
                             *
                             * Counterpart to Solidity's `+` operator.
                             *
                             * Requirements:
                             *
                             * - Addition cannot overflow.
                             */
                            function add(uint256 a, uint256 b) internal pure returns (uint256) {
                                uint256 c = a + b;
                                require(c >= a, "SafeMath: addition overflow");
                        
                                return c;
                            }
                        
                            /**
                             * @dev Returns the subtraction of two unsigned integers, reverting on
                             * overflow (when the result is negative).
                             *
                             * Counterpart to Solidity's `-` operator.
                             *
                             * Requirements:
                             *
                             * - Subtraction cannot overflow.
                             */
                            function sub(uint256 a, uint256 b) internal pure returns (uint256) {
                                return sub(a, b, "SafeMath: subtraction overflow");
                            }
                        
                            /**
                             * @dev Returns the subtraction of two unsigned integers, reverting with custom message on
                             * overflow (when the result is negative).
                             *
                             * Counterpart to Solidity's `-` operator.
                             *
                             * Requirements:
                             *
                             * - Subtraction cannot overflow.
                             */
                            function sub(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
                                require(b <= a, errorMessage);
                                uint256 c = a - b;
                        
                                return c;
                            }
                        
                            /**
                             * @dev Returns the multiplication of two unsigned integers, reverting on
                             * overflow.
                             *
                             * Counterpart to Solidity's `*` operator.
                             *
                             * Requirements:
                             *
                             * - Multiplication cannot overflow.
                             */
                            function mul(uint256 a, uint256 b) internal pure returns (uint256) {
                                // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
                                // benefit is lost if 'b' is also tested.
                                // See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522
                                if (a == 0) {
                                    return 0;
                                }
                        
                                uint256 c = a * b;
                                require(c / a == b, "SafeMath: multiplication overflow");
                        
                                return c;
                            }
                        
                            /**
                             * @dev Returns the integer division of two unsigned integers. Reverts on
                             * division by zero. The result is rounded towards zero.
                             *
                             * Counterpart to Solidity's `/` operator. Note: this function uses a
                             * `revert` opcode (which leaves remaining gas untouched) while Solidity
                             * uses an invalid opcode to revert (consuming all remaining gas).
                             *
                             * Requirements:
                             *
                             * - The divisor cannot be zero.
                             */
                            function div(uint256 a, uint256 b) internal pure returns (uint256) {
                                return div(a, b, "SafeMath: division by zero");
                            }
                        
                            /**
                             * @dev Returns the integer division of two unsigned integers. Reverts with custom message on
                             * division by zero. The result is rounded towards zero.
                             *
                             * Counterpart to Solidity's `/` operator. Note: this function uses a
                             * `revert` opcode (which leaves remaining gas untouched) while Solidity
                             * uses an invalid opcode to revert (consuming all remaining gas).
                             *
                             * Requirements:
                             *
                             * - The divisor cannot be zero.
                             */
                            function div(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
                                require(b > 0, errorMessage);
                                uint256 c = a / b;
                                // assert(a == b * c + a % b); // There is no case in which this doesn't hold
                        
                                return c;
                            }
                        
                            /**
                             * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
                             * Reverts when dividing by zero.
                             *
                             * Counterpart to Solidity's `%` operator. This function uses a `revert`
                             * opcode (which leaves remaining gas untouched) while Solidity uses an
                             * invalid opcode to revert (consuming all remaining gas).
                             *
                             * Requirements:
                             *
                             * - The divisor cannot be zero.
                             */
                            function mod(uint256 a, uint256 b) internal pure returns (uint256) {
                                return mod(a, b, "SafeMath: modulo by zero");
                            }
                        
                            /**
                             * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
                             * Reverts with custom message when dividing by zero.
                             *
                             * Counterpart to Solidity's `%` operator. This function uses a `revert`
                             * opcode (which leaves remaining gas untouched) while Solidity uses an
                             * invalid opcode to revert (consuming all remaining gas).
                             *
                             * Requirements:
                             *
                             * - The divisor cannot be zero.
                             */
                            function mod(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
                                require(b != 0, errorMessage);
                                return a % b;
                            }
                        }
                        
                        // File: @openzeppelin/contracts/utils/Address.sol
                        
                        
                        pragma solidity ^0.6.2;
                        
                        /**
                         * @dev Collection of functions related to the address type
                         */
                        library Address {
                            /**
                             * @dev Returns true if `account` is a contract.
                             *
                             * [IMPORTANT]
                             * ====
                             * It is unsafe to assume that an address for which this function returns
                             * false is an externally-owned account (EOA) and not a contract.
                             *
                             * Among others, `isContract` will return false for the following
                             * types of addresses:
                             *
                             *  - an externally-owned account
                             *  - a contract in construction
                             *  - an address where a contract will be created
                             *  - an address where a contract lived, but was destroyed
                             * ====
                             */
                            function isContract(address account) internal view returns (bool) {
                                // According to EIP-1052, 0x0 is the value returned for not-yet created accounts
                                // and 0xc5d2460186f7233c927e7db2dcc703c0e500b653ca82273b7bfad8045d85a470 is returned
                                // for accounts without code, i.e. `keccak256('')`
                                bytes32 codehash;
                                bytes32 accountHash = 0xc5d2460186f7233c927e7db2dcc703c0e500b653ca82273b7bfad8045d85a470;
                                // solhint-disable-next-line no-inline-assembly
                                assembly { codehash := extcodehash(account) }
                                return (codehash != accountHash && codehash != 0x0);
                            }
                        
                            /**
                             * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
                             * `recipient`, forwarding all available gas and reverting on errors.
                             *
                             * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
                             * of certain opcodes, possibly making contracts go over the 2300 gas limit
                             * imposed by `transfer`, making them unable to receive funds via
                             * `transfer`. {sendValue} removes this limitation.
                             *
                             * https://diligence.consensys.net/posts/2019/09/stop-using-soliditys-transfer-now/[Learn more].
                             *
                             * IMPORTANT: because control is transferred to `recipient`, care must be
                             * taken to not create reentrancy vulnerabilities. Consider using
                             * {ReentrancyGuard} or the
                             * https://solidity.readthedocs.io/en/v0.5.11/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
                             */
                            function sendValue(address payable recipient, uint256 amount) internal {
                                require(address(this).balance >= amount, "Address: insufficient balance");
                        
                                // solhint-disable-next-line avoid-low-level-calls, avoid-call-value
                                (bool success, ) = recipient.call{ value: amount }("");
                                require(success, "Address: unable to send value, recipient may have reverted");
                            }
                        
                            /**
                             * @dev Performs a Solidity function call using a low level `call`. A
                             * plain`call` is an unsafe replacement for a function call: use this
                             * function instead.
                             *
                             * If `target` reverts with a revert reason, it is bubbled up by this
                             * function (like regular Solidity function calls).
                             *
                             * Returns the raw returned data. To convert to the expected return value,
                             * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
                             *
                             * Requirements:
                             *
                             * - `target` must be a contract.
                             * - calling `target` with `data` must not revert.
                             *
                             * _Available since v3.1._
                             */
                            function functionCall(address target, bytes memory data) internal returns (bytes memory) {
                              return functionCall(target, data, "Address: low-level call failed");
                            }
                        
                            /**
                             * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with
                             * `errorMessage` as a fallback revert reason when `target` reverts.
                             *
                             * _Available since v3.1._
                             */
                            function functionCall(address target, bytes memory data, string memory errorMessage) internal returns (bytes memory) {
                                return _functionCallWithValue(target, data, 0, errorMessage);
                            }
                        
                            /**
                             * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
                             * but also transferring `value` wei to `target`.
                             *
                             * Requirements:
                             *
                             * - the calling contract must have an ETH balance of at least `value`.
                             * - the called Solidity function must be `payable`.
                             *
                             * _Available since v3.1._
                             */
                            function functionCallWithValue(address target, bytes memory data, uint256 value) internal returns (bytes memory) {
                                return functionCallWithValue(target, data, value, "Address: low-level call with value failed");
                            }
                        
                            /**
                             * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but
                             * with `errorMessage` as a fallback revert reason when `target` reverts.
                             *
                             * _Available since v3.1._
                             */
                            function functionCallWithValue(address target, bytes memory data, uint256 value, string memory errorMessage) internal returns (bytes memory) {
                                require(address(this).balance >= value, "Address: insufficient balance for call");
                                return _functionCallWithValue(target, data, value, errorMessage);
                            }
                        
                            function _functionCallWithValue(address target, bytes memory data, uint256 weiValue, string memory errorMessage) private returns (bytes memory) {
                                require(isContract(target), "Address: call to non-contract");
                        
                                // solhint-disable-next-line avoid-low-level-calls
                                (bool success, bytes memory returndata) = target.call{ value: weiValue }(data);
                                if (success) {
                                    return returndata;
                                } else {
                                    // Look for revert reason and bubble it up if present
                                    if (returndata.length > 0) {
                                        // The easiest way to bubble the revert reason is using memory via assembly
                        
                                        // solhint-disable-next-line no-inline-assembly
                                        assembly {
                                            let returndata_size := mload(returndata)
                                            revert(add(32, returndata), returndata_size)
                                        }
                                    } else {
                                        revert(errorMessage);
                                    }
                                }
                            }
                        }
                        
                        // File: @openzeppelin/contracts/token/ERC20/ERC20.sol
                        
                        
                        pragma solidity ^0.6.0;
                        
                        
                        
                        
                        
                        /**
                         * @dev Implementation of the {IERC20} interface.
                         *
                         * This implementation is agnostic to the way tokens are created. This means
                         * that a supply mechanism has to be added in a derived contract using {_mint}.
                         * For a generic mechanism see {ERC20PresetMinterPauser}.
                         *
                         * TIP: For a detailed writeup see our guide
                         * https://forum.zeppelin.solutions/t/how-to-implement-erc20-supply-mechanisms/226[How
                         * to implement supply mechanisms].
                         *
                         * We have followed general OpenZeppelin guidelines: functions revert instead
                         * of returning `false` on failure. This behavior is nonetheless conventional
                         * and does not conflict with the expectations of ERC20 applications.
                         *
                         * Additionally, an {Approval} event is emitted on calls to {transferFrom}.
                         * This allows applications to reconstruct the allowance for all accounts just
                         * by listening to said events. Other implementations of the EIP may not emit
                         * these events, as it isn't required by the specification.
                         *
                         * Finally, the non-standard {decreaseAllowance} and {increaseAllowance}
                         * functions have been added to mitigate the well-known issues around setting
                         * allowances. See {IERC20-approve}.
                         */
                        contract ERC20 is Context, IERC20 {
                            using SafeMath for uint256;
                            using Address for address;
                        
                            mapping (address => uint256) private _balances;
                        
                            mapping (address => mapping (address => uint256)) private _allowances;
                        
                            uint256 private _totalSupply;
                        
                            string private _name;
                            string private _symbol;
                            uint8 private _decimals;
                        
                            /**
                             * @dev Sets the values for {name} and {symbol}, initializes {decimals} with
                             * a default value of 18.
                             *
                             * To select a different value for {decimals}, use {_setupDecimals}.
                             *
                             * All three of these values are immutable: they can only be set once during
                             * construction.
                             */
                            constructor (string memory name, string memory symbol) public {
                                _name = name;
                                _symbol = symbol;
                                _decimals = 18;
                            }
                        
                            /**
                             * @dev Returns the name of the token.
                             */
                            function name() public view returns (string memory) {
                                return _name;
                            }
                        
                            /**
                             * @dev Returns the symbol of the token, usually a shorter version of the
                             * name.
                             */
                            function symbol() public view returns (string memory) {
                                return _symbol;
                            }
                        
                            /**
                             * @dev Returns the number of decimals used to get its user representation.
                             * For example, if `decimals` equals `2`, a balance of `505` tokens should
                             * be displayed to a user as `5,05` (`505 / 10 ** 2`).
                             *
                             * Tokens usually opt for a value of 18, imitating the relationship between
                             * Ether and Wei. This is the value {ERC20} uses, unless {_setupDecimals} is
                             * called.
                             *
                             * NOTE: This information is only used for _display_ purposes: it in
                             * no way affects any of the arithmetic of the contract, including
                             * {IERC20-balanceOf} and {IERC20-transfer}.
                             */
                            function decimals() public view returns (uint8) {
                                return _decimals;
                            }
                        
                            /**
                             * @dev See {IERC20-totalSupply}.
                             */
                            function totalSupply() public view override returns (uint256) {
                                return _totalSupply;
                            }
                        
                            /**
                             * @dev See {IERC20-balanceOf}.
                             */
                            function balanceOf(address account) public view override returns (uint256) {
                                return _balances[account];
                            }
                        
                            /**
                             * @dev See {IERC20-transfer}.
                             *
                             * Requirements:
                             *
                             * - `recipient` cannot be the zero address.
                             * - the caller must have a balance of at least `amount`.
                             */
                            function transfer(address recipient, uint256 amount) public virtual override returns (bool) {
                                _transfer(_msgSender(), recipient, amount);
                                return true;
                            }
                        
                            /**
                             * @dev See {IERC20-allowance}.
                             */
                            function allowance(address owner, address spender) public view virtual override returns (uint256) {
                                return _allowances[owner][spender];
                            }
                        
                            /**
                             * @dev See {IERC20-approve}.
                             *
                             * Requirements:
                             *
                             * - `spender` cannot be the zero address.
                             */
                            function approve(address spender, uint256 amount) public virtual override returns (bool) {
                                _approve(_msgSender(), spender, amount);
                                return true;
                            }
                        
                            /**
                             * @dev See {IERC20-transferFrom}.
                             *
                             * Emits an {Approval} event indicating the updated allowance. This is not
                             * required by the EIP. See the note at the beginning of {ERC20};
                             *
                             * Requirements:
                             * - `sender` and `recipient` cannot be the zero address.
                             * - `sender` must have a balance of at least `amount`.
                             * - the caller must have allowance for ``sender``'s tokens of at least
                             * `amount`.
                             */
                            function transferFrom(address sender, address recipient, uint256 amount) public virtual override returns (bool) {
                                _transfer(sender, recipient, amount);
                                _approve(sender, _msgSender(), _allowances[sender][_msgSender()].sub(amount, "ERC20: transfer amount exceeds allowance"));
                                return true;
                            }
                        
                            /**
                             * @dev Atomically increases the allowance granted to `spender` by the caller.
                             *
                             * This is an alternative to {approve} that can be used as a mitigation for
                             * problems described in {IERC20-approve}.
                             *
                             * Emits an {Approval} event indicating the updated allowance.
                             *
                             * Requirements:
                             *
                             * - `spender` cannot be the zero address.
                             */
                            function increaseAllowance(address spender, uint256 addedValue) public virtual returns (bool) {
                                _approve(_msgSender(), spender, _allowances[_msgSender()][spender].add(addedValue));
                                return true;
                            }
                        
                            /**
                             * @dev Atomically decreases the allowance granted to `spender` by the caller.
                             *
                             * This is an alternative to {approve} that can be used as a mitigation for
                             * problems described in {IERC20-approve}.
                             *
                             * Emits an {Approval} event indicating the updated allowance.
                             *
                             * Requirements:
                             *
                             * - `spender` cannot be the zero address.
                             * - `spender` must have allowance for the caller of at least
                             * `subtractedValue`.
                             */
                            function decreaseAllowance(address spender, uint256 subtractedValue) public virtual returns (bool) {
                                _approve(_msgSender(), spender, _allowances[_msgSender()][spender].sub(subtractedValue, "ERC20: decreased allowance below zero"));
                                return true;
                            }
                        
                            /**
                             * @dev Moves tokens `amount` from `sender` to `recipient`.
                             *
                             * This is internal function is equivalent to {transfer}, and can be used to
                             * e.g. implement automatic token fees, slashing mechanisms, etc.
                             *
                             * Emits a {Transfer} event.
                             *
                             * Requirements:
                             *
                             * - `sender` cannot be the zero address.
                             * - `recipient` cannot be the zero address.
                             * - `sender` must have a balance of at least `amount`.
                             */
                            function _transfer(address sender, address recipient, uint256 amount) internal virtual {
                                require(sender != address(0), "ERC20: transfer from the zero address");
                                require(recipient != address(0), "ERC20: transfer to the zero address");
                        
                                _beforeTokenTransfer(sender, recipient, amount);
                        
                                _balances[sender] = _balances[sender].sub(amount, "ERC20: transfer amount exceeds balance");
                                _balances[recipient] = _balances[recipient].add(amount);
                                emit Transfer(sender, recipient, amount);
                            }
                        
                            /** @dev Creates `amount` tokens and assigns them to `account`, increasing
                             * the total supply.
                             *
                             * Emits a {Transfer} event with `from` set to the zero address.
                             *
                             * Requirements
                             *
                             * - `to` cannot be the zero address.
                             */
                            function _mint(address account, uint256 amount) internal virtual {
                                require(account != address(0), "ERC20: mint to the zero address");
                        
                                _beforeTokenTransfer(address(0), account, amount);
                        
                                _totalSupply = _totalSupply.add(amount);
                                _balances[account] = _balances[account].add(amount);
                                emit Transfer(address(0), account, amount);
                            }
                        
                            /**
                             * @dev Destroys `amount` tokens from `account`, reducing the
                             * total supply.
                             *
                             * Emits a {Transfer} event with `to` set to the zero address.
                             *
                             * Requirements
                             *
                             * - `account` cannot be the zero address.
                             * - `account` must have at least `amount` tokens.
                             */
                            function _burn(address account, uint256 amount) internal virtual {
                                require(account != address(0), "ERC20: burn from the zero address");
                        
                                _beforeTokenTransfer(account, address(0), amount);
                        
                                _balances[account] = _balances[account].sub(amount, "ERC20: burn amount exceeds balance");
                                _totalSupply = _totalSupply.sub(amount);
                                emit Transfer(account, address(0), amount);
                            }
                        
                            /**
                             * @dev Sets `amount` as the allowance of `spender` over the `owner`s tokens.
                             *
                             * This is internal function is equivalent to `approve`, and can be used to
                             * e.g. set automatic allowances for certain subsystems, etc.
                             *
                             * Emits an {Approval} event.
                             *
                             * Requirements:
                             *
                             * - `owner` cannot be the zero address.
                             * - `spender` cannot be the zero address.
                             */
                            function _approve(address owner, address spender, uint256 amount) internal virtual {
                                require(owner != address(0), "ERC20: approve from the zero address");
                                require(spender != address(0), "ERC20: approve to the zero address");
                        
                                _allowances[owner][spender] = amount;
                                emit Approval(owner, spender, amount);
                            }
                        
                            /**
                             * @dev Sets {decimals} to a value other than the default one of 18.
                             *
                             * WARNING: This function should only be called from the constructor. Most
                             * applications that interact with token contracts will not expect
                             * {decimals} to ever change, and may work incorrectly if it does.
                             */
                            function _setupDecimals(uint8 decimals_) internal {
                                _decimals = decimals_;
                            }
                        
                            /**
                             * @dev Hook that is called before any transfer of tokens. This includes
                             * minting and burning.
                             *
                             * Calling conditions:
                             *
                             * - when `from` and `to` are both non-zero, `amount` of ``from``'s tokens
                             * will be to transferred to `to`.
                             * - when `from` is zero, `amount` tokens will be minted for `to`.
                             * - when `to` is zero, `amount` of ``from``'s tokens will be burned.
                             * - `from` and `to` are never both zero.
                             *
                             * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
                             */
                            function _beforeTokenTransfer(address from, address to, uint256 amount) internal virtual { }
                        }
                        
                        // File: contracts/distribution/AlphaToken.sol
                        
                        pragma solidity 0.6.11;
                        
                        
                        
                        /**
                         * @title Alpha token contract
                         * @notice Implements Alpha token contract
                         * @author Alpha Finance Lab
                         */
                        contract AlphaToken is ERC20("AlphaToken", "ALPHA"), Ownable {
                            function getOwner() public view returns (address) {
                                return owner();
                            }
                        
                            function mint(uint256 _value) public onlyOwner {
                                _mint(msg.sender, _value);
                            }
                        
                            function burn(uint256 _value) public onlyOwner {
                                _burn(msg.sender, _value);
                            }
                        }

                        File 5 of 15: IbETHRouter
                        // File: openzeppelin-solidity-2.3.0/contracts/ownership/Ownable.sol
                        
                        pragma solidity ^0.5.0;
                        
                        /**
                         * @dev Contract module which provides a basic access control mechanism, where
                         * there is an account (an owner) that can be granted exclusive access to
                         * specific functions.
                         *
                         * This module is used through inheritance. It will make available the modifier
                         * `onlyOwner`, which can be aplied to your functions to restrict their use to
                         * the owner.
                         */
                        contract Ownable {
                            address private _owner;
                        
                            event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);
                        
                            /**
                             * @dev Initializes the contract setting the deployer as the initial owner.
                             */
                            constructor () internal {
                                _owner = msg.sender;
                                emit OwnershipTransferred(address(0), _owner);
                            }
                        
                            /**
                             * @dev Returns the address of the current owner.
                             */
                            function owner() public view returns (address) {
                                return _owner;
                            }
                        
                            /**
                             * @dev Throws if called by any account other than the owner.
                             */
                            modifier onlyOwner() {
                                require(isOwner(), "Ownable: caller is not the owner");
                                _;
                            }
                        
                            /**
                             * @dev Returns true if the caller is the current owner.
                             */
                            function isOwner() public view returns (bool) {
                                return msg.sender == _owner;
                            }
                        
                            /**
                             * @dev Leaves the contract without owner. It will not be possible to call
                             * `onlyOwner` functions anymore. Can only be called by the current owner.
                             *
                             * > Note: Renouncing ownership will leave the contract without an owner,
                             * thereby removing any functionality that is only available to the owner.
                             */
                            function renounceOwnership() public onlyOwner {
                                emit OwnershipTransferred(_owner, address(0));
                                _owner = address(0);
                            }
                        
                            /**
                             * @dev Transfers ownership of the contract to a new account (`newOwner`).
                             * Can only be called by the current owner.
                             */
                            function transferOwnership(address newOwner) public onlyOwner {
                                _transferOwnership(newOwner);
                            }
                        
                            /**
                             * @dev Transfers ownership of the contract to a new account (`newOwner`).
                             */
                            function _transferOwnership(address newOwner) internal {
                                require(newOwner != address(0), "Ownable: new owner is the zero address");
                                emit OwnershipTransferred(_owner, newOwner);
                                _owner = newOwner;
                            }
                        }
                        
                        // File: openzeppelin-solidity-2.3.0/contracts/token/ERC20/IERC20.sol
                        
                        pragma solidity ^0.5.0;
                        
                        /**
                         * @dev Interface of the ERC20 standard as defined in the EIP. Does not include
                         * the optional functions; to access them see `ERC20Detailed`.
                         */
                        interface IERC20 {
                            /**
                             * @dev Returns the amount of tokens in existence.
                             */
                            function totalSupply() external view returns (uint256);
                        
                            /**
                             * @dev Returns the amount of tokens owned by `account`.
                             */
                            function balanceOf(address account) external view returns (uint256);
                        
                            /**
                             * @dev Moves `amount` tokens from the caller's account to `recipient`.
                             *
                             * Returns a boolean value indicating whether the operation succeeded.
                             *
                             * Emits a `Transfer` event.
                             */
                            function transfer(address recipient, uint256 amount) external returns (bool);
                        
                            /**
                             * @dev Returns the remaining number of tokens that `spender` will be
                             * allowed to spend on behalf of `owner` through `transferFrom`. This is
                             * zero by default.
                             *
                             * This value changes when `approve` or `transferFrom` are called.
                             */
                            function allowance(address owner, address spender) external view returns (uint256);
                        
                            /**
                             * @dev Sets `amount` as the allowance of `spender` over the caller's tokens.
                             *
                             * Returns a boolean value indicating whether the operation succeeded.
                             *
                             * > Beware that changing an allowance with this method brings the risk
                             * that someone may use both the old and the new allowance by unfortunate
                             * transaction ordering. One possible solution to mitigate this race
                             * condition is to first reduce the spender's allowance to 0 and set the
                             * desired value afterwards:
                             * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
                             *
                             * Emits an `Approval` event.
                             */
                            function approve(address spender, uint256 amount) external returns (bool);
                        
                            /**
                             * @dev Moves `amount` tokens from `sender` to `recipient` using the
                             * allowance mechanism. `amount` is then deducted from the caller's
                             * allowance.
                             *
                             * Returns a boolean value indicating whether the operation succeeded.
                             *
                             * Emits a `Transfer` event.
                             */
                            function transferFrom(address sender, address recipient, uint256 amount) external returns (bool);
                        
                            /**
                             * @dev Emitted when `value` tokens are moved from one account (`from`) to
                             * another (`to`).
                             *
                             * Note that `value` may be zero.
                             */
                            event Transfer(address indexed from, address indexed to, uint256 value);
                        
                            /**
                             * @dev Emitted when the allowance of a `spender` for an `owner` is set by
                             * a call to `approve`. `value` is the new allowance.
                             */
                            event Approval(address indexed owner, address indexed spender, uint256 value);
                        }
                        
                        // File: @uniswap/v2-core/contracts/libraries/Math.sol
                        
                        pragma solidity =0.5.16;
                        
                        // a library for performing various math operations
                        
                        library Math {
                            function min(uint x, uint y) internal pure returns (uint z) {
                                z = x < y ? x : y;
                            }
                        
                            // babylonian method (https://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Babylonian_method)
                            function sqrt(uint y) internal pure returns (uint z) {
                                if (y > 3) {
                                    z = y;
                                    uint x = y / 2 + 1;
                                    while (x < z) {
                                        z = x;
                                        x = (y / x + x) / 2;
                                    }
                                } else if (y != 0) {
                                    z = 1;
                                }
                            }
                        }
                        
                        // File: @uniswap/v2-core/contracts/interfaces/IUniswapV2Pair.sol
                        
                        pragma solidity >=0.5.0;
                        
                        interface IUniswapV2Pair {
                            event Approval(address indexed owner, address indexed spender, uint value);
                            event Transfer(address indexed from, address indexed to, uint value);
                        
                            function name() external pure returns (string memory);
                            function symbol() external pure returns (string memory);
                            function decimals() external pure returns (uint8);
                            function totalSupply() external view returns (uint);
                            function balanceOf(address owner) external view returns (uint);
                            function allowance(address owner, address spender) external view returns (uint);
                        
                            function approve(address spender, uint value) external returns (bool);
                            function transfer(address to, uint value) external returns (bool);
                            function transferFrom(address from, address to, uint value) external returns (bool);
                        
                            function DOMAIN_SEPARATOR() external view returns (bytes32);
                            function PERMIT_TYPEHASH() external pure returns (bytes32);
                            function nonces(address owner) external view returns (uint);
                        
                            function permit(address owner, address spender, uint value, uint deadline, uint8 v, bytes32 r, bytes32 s) external;
                        
                            event Mint(address indexed sender, uint amount0, uint amount1);
                            event Burn(address indexed sender, uint amount0, uint amount1, address indexed to);
                            event Swap(
                                address indexed sender,
                                uint amount0In,
                                uint amount1In,
                                uint amount0Out,
                                uint amount1Out,
                                address indexed to
                            );
                            event Sync(uint112 reserve0, uint112 reserve1);
                        
                            function MINIMUM_LIQUIDITY() external pure returns (uint);
                            function factory() external view returns (address);
                            function token0() external view returns (address);
                            function token1() external view returns (address);
                            function getReserves() external view returns (uint112 reserve0, uint112 reserve1, uint32 blockTimestampLast);
                            function price0CumulativeLast() external view returns (uint);
                            function price1CumulativeLast() external view returns (uint);
                            function kLast() external view returns (uint);
                        
                            function mint(address to) external returns (uint liquidity);
                            function burn(address to) external returns (uint amount0, uint amount1);
                            function swap(uint amount0Out, uint amount1Out, address to, bytes calldata data) external;
                            function skim(address to) external;
                            function sync() external;
                        
                            function initialize(address, address) external;
                        }
                        
                        // File: @uniswap/v2-core/contracts/interfaces/IUniswapV2Factory.sol
                        
                        pragma solidity >=0.5.0;
                        
                        interface IUniswapV2Factory {
                            event PairCreated(address indexed token0, address indexed token1, address pair, uint);
                        
                            function feeTo() external view returns (address);
                            function feeToSetter() external view returns (address);
                        
                            function getPair(address tokenA, address tokenB) external view returns (address pair);
                            function allPairs(uint) external view returns (address pair);
                            function allPairsLength() external view returns (uint);
                        
                            function createPair(address tokenA, address tokenB) external returns (address pair);
                        
                            function setFeeTo(address) external;
                            function setFeeToSetter(address) external;
                        }
                        
                        // File: openzeppelin-solidity-2.3.0/contracts/math/SafeMath.sol
                        
                        pragma solidity ^0.5.0;
                        
                        /**
                         * @dev Wrappers over Solidity's arithmetic operations with added overflow
                         * checks.
                         *
                         * Arithmetic operations in Solidity wrap on overflow. This can easily result
                         * in bugs, because programmers usually assume that an overflow raises an
                         * error, which is the standard behavior in high level programming languages.
                         * `SafeMath` restores this intuition by reverting the transaction when an
                         * operation overflows.
                         *
                         * Using this library instead of the unchecked operations eliminates an entire
                         * class of bugs, so it's recommended to use it always.
                         */
                        library SafeMath {
                            /**
                             * @dev Returns the addition of two unsigned integers, reverting on
                             * overflow.
                             *
                             * Counterpart to Solidity's `+` operator.
                             *
                             * Requirements:
                             * - Addition cannot overflow.
                             */
                            function add(uint256 a, uint256 b) internal pure returns (uint256) {
                                uint256 c = a + b;
                                require(c >= a, "SafeMath: addition overflow");
                        
                                return c;
                            }
                        
                            /**
                             * @dev Returns the subtraction of two unsigned integers, reverting on
                             * overflow (when the result is negative).
                             *
                             * Counterpart to Solidity's `-` operator.
                             *
                             * Requirements:
                             * - Subtraction cannot overflow.
                             */
                            function sub(uint256 a, uint256 b) internal pure returns (uint256) {
                                require(b <= a, "SafeMath: subtraction overflow");
                                uint256 c = a - b;
                        
                                return c;
                            }
                        
                            /**
                             * @dev Returns the multiplication of two unsigned integers, reverting on
                             * overflow.
                             *
                             * Counterpart to Solidity's `*` operator.
                             *
                             * Requirements:
                             * - Multiplication cannot overflow.
                             */
                            function mul(uint256 a, uint256 b) internal pure returns (uint256) {
                                // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
                                // benefit is lost if 'b' is also tested.
                                // See: https://github.com/OpenZeppelin/openzeppelin-solidity/pull/522
                                if (a == 0) {
                                    return 0;
                                }
                        
                                uint256 c = a * b;
                                require(c / a == b, "SafeMath: multiplication overflow");
                        
                                return c;
                            }
                        
                            /**
                             * @dev Returns the integer division of two unsigned integers. Reverts on
                             * division by zero. The result is rounded towards zero.
                             *
                             * Counterpart to Solidity's `/` operator. Note: this function uses a
                             * `revert` opcode (which leaves remaining gas untouched) while Solidity
                             * uses an invalid opcode to revert (consuming all remaining gas).
                             *
                             * Requirements:
                             * - The divisor cannot be zero.
                             */
                            function div(uint256 a, uint256 b) internal pure returns (uint256) {
                                // Solidity only automatically asserts when dividing by 0
                                require(b > 0, "SafeMath: division by zero");
                                uint256 c = a / b;
                                // assert(a == b * c + a % b); // There is no case in which this doesn't hold
                        
                                return c;
                            }
                        
                            /**
                             * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
                             * Reverts when dividing by zero.
                             *
                             * Counterpart to Solidity's `%` operator. This function uses a `revert`
                             * opcode (which leaves remaining gas untouched) while Solidity uses an
                             * invalid opcode to revert (consuming all remaining gas).
                             *
                             * Requirements:
                             * - The divisor cannot be zero.
                             */
                            function mod(uint256 a, uint256 b) internal pure returns (uint256) {
                                require(b != 0, "SafeMath: modulo by zero");
                                return a % b;
                            }
                        }
                        
                        
                        // File: contracts/5/uniswap/IUniswapV2Router02.sol
                        
                        pragma solidity >=0.5.0;
                        
                        interface IUniswapV2Router02 {
                            function factory() external pure returns (address);
                        
                            function WETH() external pure returns (address);
                        
                            function addLiquidity(
                                address tokenA,
                                address tokenB,
                                uint256 amountADesired,
                                uint256 amountBDesired,
                                uint256 amountAMin,
                                uint256 amountBMin,
                                address to,
                                uint256 deadline
                            )
                                external
                                returns (
                                    uint256 amountA,
                                    uint256 amountB,
                                    uint256 liquidity
                                );
                        
                            function addLiquidityETH(
                                address token,
                                uint256 amountTokenDesired,
                                uint256 amountTokenMin,
                                uint256 amountETHMin,
                                address to,
                                uint256 deadline
                            )
                                external
                                payable
                                returns (
                                    uint256 amountToken,
                                    uint256 amountETH,
                                    uint256 liquidity
                                );
                        
                            function removeLiquidity(
                                address tokenA,
                                address tokenB,
                                uint256 liquidity,
                                uint256 amountAMin,
                                uint256 amountBMin,
                                address to,
                                uint256 deadline
                            ) external returns (uint256 amountA, uint256 amountB);
                        
                            function removeLiquidityETH(
                                address token,
                                uint256 liquidity,
                                uint256 amountTokenMin,
                                uint256 amountETHMin,
                                address to,
                                uint256 deadline
                            ) external returns (uint256 amountToken, uint256 amountETH);
                        
                            function removeLiquidityWithPermit(
                                address tokenA,
                                address tokenB,
                                uint256 liquidity,
                                uint256 amountAMin,
                                uint256 amountBMin,
                                address to,
                                uint256 deadline,
                                bool approveMax,
                                uint8 v,
                                bytes32 r,
                                bytes32 s
                            ) external returns (uint256 amountA, uint256 amountB);
                        
                            function removeLiquidityETHWithPermit(
                                address token,
                                uint256 liquidity,
                                uint256 amountTokenMin,
                                uint256 amountETHMin,
                                address to,
                                uint256 deadline,
                                bool approveMax,
                                uint8 v,
                                bytes32 r,
                                bytes32 s
                            ) external returns (uint256 amountToken, uint256 amountETH);
                        
                            function swapExactTokensForTokens(
                                uint256 amountIn,
                                uint256 amountOutMin,
                                address[] calldata path,
                                address to,
                                uint256 deadline
                            ) external returns (uint256[] memory amounts);
                        
                            function swapTokensForExactTokens(
                                uint256 amountOut,
                                uint256 amountInMax,
                                address[] calldata path,
                                address to,
                                uint256 deadline
                            ) external returns (uint256[] memory amounts);
                        
                            function swapExactETHForTokens(
                                uint256 amountOutMin,
                                address[] calldata path,
                                address to,
                                uint256 deadline
                            ) external payable returns (uint256[] memory amounts);
                        
                            function swapTokensForExactETH(
                                uint256 amountOut,
                                uint256 amountInMax,
                                address[] calldata path,
                                address to,
                                uint256 deadline
                            ) external returns (uint256[] memory amounts);
                        
                            function swapExactTokensForETH(
                                uint256 amountIn,
                                uint256 amountOutMin,
                                address[] calldata path,
                                address to,
                                uint256 deadline
                            ) external returns (uint256[] memory amounts);
                        
                            function swapETHForExactTokens(
                                uint256 amountOut,
                                address[] calldata path,
                                address to,
                                uint256 deadline
                            ) external payable returns (uint256[] memory amounts);
                        
                            function quote(
                                uint256 amountA,
                                uint256 reserveA,
                                uint256 reserveB
                            ) external pure returns (uint256 amountB);
                        
                            function getAmountOut(
                                uint256 amountIn,
                                uint256 reserveIn,
                                uint256 reserveOut
                            ) external pure returns (uint256 amountOut);
                        
                            function getAmountIn(
                                uint256 amountOut,
                                uint256 reserveIn,
                                uint256 reserveOut
                            ) external pure returns (uint256 amountIn);
                        
                            function getAmountsOut(uint256 amountIn, address[] calldata path)
                                external
                                view
                                returns (uint256[] memory amounts);
                        
                            function getAmountsIn(uint256 amountOut, address[] calldata path)
                                external
                                view
                                returns (uint256[] memory amounts);
                        
                            function removeLiquidityETHSupportingFeeOnTransferTokens(
                                address token,
                                uint256 liquidity,
                                uint256 amountTokenMin,
                                uint256 amountETHMin,
                                address to,
                                uint256 deadline
                            ) external returns (uint256 amountETH);
                        
                            function removeLiquidityETHWithPermitSupportingFeeOnTransferTokens(
                                address token,
                                uint256 liquidity,
                                uint256 amountTokenMin,
                                uint256 amountETHMin,
                                address to,
                                uint256 deadline,
                                bool approveMax,
                                uint8 v,
                                bytes32 r,
                                bytes32 s
                            ) external returns (uint256 amountETH);
                        
                            function swapExactTokensForTokensSupportingFeeOnTransferTokens(
                                uint256 amountIn,
                                uint256 amountOutMin,
                                address[] calldata path,
                                address to,
                                uint256 deadline
                            ) external;
                        
                            function swapExactETHForTokensSupportingFeeOnTransferTokens(
                                uint256 amountOutMin,
                                address[] calldata path,
                                address to,
                                uint256 deadline
                            ) external payable;
                        
                            function swapExactTokensForETHSupportingFeeOnTransferTokens(
                                uint256 amountIn,
                                uint256 amountOutMin,
                                address[] calldata path,
                                address to,
                                uint256 deadline
                            ) external;
                        }
                        
                        // File: contracts/5/interfaces/IBank.sol
                        
                        pragma solidity 0.5.16;
                        
                        interface IBank {       
                        
                            /**
                             * @dev Returns the amount of tokens in existence.
                             */
                            function totalSupply() external view returns (uint256);
                        
                            /**
                             * @dev Returns the amount of tokens owned by `account`.
                             */
                            function balanceOf(address account) external view returns (uint256);
                        
                            /**
                             * @dev Moves `amount` tokens from the caller's account to `recipient`.
                             *
                             * Returns a boolean value indicating whether the operation succeeded.
                             *
                             * Emits a `Transfer` event.
                             */
                            function transfer(address recipient, uint256 amount) external returns (bool);
                        
                            /**
                             * @dev Returns the remaining number of tokens that `spender` will be
                             * allowed to spend on behalf of `owner` through `transferFrom`. This is
                             * zero by default.
                             *
                             * This value changes when `approve` or `transferFrom` are called.
                             */
                            function allowance(address owner, address spender) external view returns (uint256);
                        
                            /**
                             * @dev Sets `amount` as the allowance of `spender` over the caller's tokens.
                             *
                             * Returns a boolean value indicating whether the operation succeeded.
                             *
                             * > Beware that changing an allowance with this method brings the risk
                             * that someone may use both the old and the new allowance by unfortunate
                             * transaction ordering. One possible solution to mitigate this race
                             * condition is to first reduce the spender's allowance to 0 and set the
                             * desired value afterwards:
                             * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
                             *
                             * Emits an `Approval` event.
                             */
                            function approve(address spender, uint256 amount) external returns (bool);
                        
                            /**
                             * @dev Moves `amount` tokens from `sender` to `recipient` using the
                             * allowance mechanism. `amount` is then deducted from the caller's
                             * allowance.
                             *
                             * Returns a boolean value indicating whether the operation succeeded.
                             *
                             * Emits a `Transfer` event.
                             */
                            function transferFrom(address sender, address recipient, uint256 amount) external returns (bool);
                        
                            /// @dev Return the total ETH entitled to the token holders. Be careful of unaccrued interests.
                            function totalETH() external view returns (uint256);
                        
                            /// @dev Add more ETH to the bank. Hope to get some good returns.
                            function deposit() external payable;
                        
                            /// @dev Withdraw ETH from the bank by burning the share tokens.
                            function withdraw(uint256 share) external;
                        
                        }
                        
                        // File: contracts/5/IbETHRouter.sol
                        
                        pragma solidity =0.5.16;
                        
                        
                        
                        
                        
                        
                        
                        // helper methods for interacting with ERC20 tokens and sending ETH that do not consistently return true/false
                        library TransferHelper {
                            function safeApprove(
                                address token,
                                address to,
                                uint256 value
                            ) internal {
                                // bytes4(keccak256(bytes('approve(address,uint256)')));
                                (bool success, bytes memory data) = token.call(
                                    abi.encodeWithSelector(0x095ea7b3, to, value)
                                );
                                require(
                                    success && (data.length == 0 || abi.decode(data, (bool))),
                                    "TransferHelper: APPROVE_FAILED"
                                );
                            }
                        
                            function safeTransfer(
                                address token,
                                address to,
                                uint256 value
                            ) internal {
                                // bytes4(keccak256(bytes('transfer(address,uint256)')));
                                (bool success, bytes memory data) = token.call(
                                    abi.encodeWithSelector(0xa9059cbb, to, value)
                                );
                                require(
                                    success && (data.length == 0 || abi.decode(data, (bool))),
                                    "TransferHelper: TRANSFER_FAILED"
                                );
                            }
                        
                            function safeTransferFrom(
                                address token,
                                address from,
                                address to,
                                uint256 value
                            ) internal {
                                // bytes4(keccak256(bytes('transferFrom(address,address,uint256)')));
                                (bool success, bytes memory data) = token.call(
                                    abi.encodeWithSelector(0x23b872dd, from, to, value)
                                );
                                require(
                                    success && (data.length == 0 || abi.decode(data, (bool))),
                                    "TransferHelper: TRANSFER_FROM_FAILED"
                                );
                            }
                        
                            function safeTransferETH(address to, uint256 value) internal {
                                (bool success, ) = to.call.value(value)(new bytes(0));
                                require(success, "TransferHelper: ETH_TRANSFER_FAILED");
                            }
                        }
                        
                        contract IbETHRouter is Ownable {
                            using SafeMath for uint256;
                        
                            address public router;
                            address public ibETH; 
                            address public alpha;     
                            address public lpToken;     
                        
                            constructor(address _router, address _ibETH, address _alpha) public {
                                router = _router;
                                ibETH = _ibETH;   
                                alpha = _alpha;                             
                                address factory = IUniswapV2Router02(router).factory();   
                                lpToken = IUniswapV2Factory(factory).getPair(ibETH, alpha);                  
                                IUniswapV2Pair(lpToken).approve(router, uint256(-1)); // 100% trust in the router        
                                IBank(ibETH).approve(router, uint256(-1)); // 100% trust in the router        
                                IERC20(alpha).approve(router, uint256(-1)); // 100% trust in the router        
                            }
                        
                            function() external payable {
                                assert(msg.sender == ibETH); // only accept ETH via fallback from the Bank contract
                            }
                        
                            // **** ETH-ibETH FUNCTIONS ****
                            // Get number of ibETH needed to withdraw to get exact amountETH from the Bank
                            function ibETHForExactETH(uint256 amountETH) public view returns (uint256) {
                                uint256 totalETH = IBank(ibETH).totalETH();        
                                return totalETH == 0 ? amountETH : amountETH.mul(IBank(ibETH).totalSupply()).add(totalETH).sub(1).div(totalETH); 
                            }   
                            
                            // Add ETH and Alpha from ibETH-Alpha Pool.
                            // 1. Receive ETH and Alpha from caller.
                            // 2. Wrap ETH to ibETH.
                            // 3. Provide liquidity to the pool.
                            function addLiquidityETH(        
                                uint256 amountAlphaDesired,
                                uint256 amountAlphaMin,
                                uint256 amountETHMin,
                                address to,
                                uint256 deadline
                            )
                                external
                                payable        
                                returns (
                                    uint256 amountAlpha,
                                    uint256 amountETH,
                                    uint256 liquidity
                                ) {                
                                TransferHelper.safeTransferFrom(alpha, msg.sender, address(this), amountAlphaDesired);
                                IBank(ibETH).deposit.value(msg.value)();   
                                uint256 amountIbETHDesired = IBank(ibETH).balanceOf(address(this)); 
                                uint256 amountIbETH;
                                (amountAlpha, amountIbETH, liquidity) = IUniswapV2Router02(router).addLiquidity(
                                    alpha,
                                    ibETH,
                                    amountAlphaDesired,            
                                    amountIbETHDesired,
                                    amountAlphaMin,            
                                    0,
                                    to,
                                    deadline
                                );         
                                if (amountAlphaDesired > amountAlpha) {
                                    TransferHelper.safeTransfer(alpha, msg.sender, amountAlphaDesired.sub(amountAlpha));
                                }                       
                                IBank(ibETH).withdraw(amountIbETHDesired.sub(amountIbETH));        
                                amountETH = msg.value - address(this).balance;
                                if (amountETH > 0) {
                                    TransferHelper.safeTransferETH(msg.sender, address(this).balance);
                                }
                                require(amountETH >= amountETHMin, "IbETHRouter: require more ETH than amountETHmin");
                            }
                        
                            /// @dev Compute optimal deposit amount
                            /// @param amtA amount of token A desired to deposit
                            /// @param amtB amonut of token B desired to deposit
                            /// @param resA amount of token A in reserve
                            /// @param resB amount of token B in reserve
                            /// (forked from ./StrategyAddTwoSidesOptimal.sol)
                            function optimalDeposit(
                                uint256 amtA,
                                uint256 amtB,
                                uint256 resA,
                                uint256 resB
                            ) internal pure returns (uint256 swapAmt, bool isReversed) {
                                if (amtA.mul(resB) >= amtB.mul(resA)) {
                                    swapAmt = _optimalDepositA(amtA, amtB, resA, resB);
                                    isReversed = false;
                                } else {
                                    swapAmt = _optimalDepositA(amtB, amtA, resB, resA);
                                    isReversed = true;
                                }
                            }
                        
                            /// @dev Compute optimal deposit amount helper
                            /// @param amtA amount of token A desired to deposit
                            /// @param amtB amonut of token B desired to deposit
                            /// @param resA amount of token A in reserve
                            /// @param resB amount of token B in reserve
                            /// (forked from ./StrategyAddTwoSidesOptimal.sol)
                            function _optimalDepositA(
                                uint256 amtA,
                                uint256 amtB,
                                uint256 resA,
                                uint256 resB
                            ) internal pure returns (uint256) {
                                require(amtA.mul(resB) >= amtB.mul(resA), "Reversed");
                        
                                uint256 a = 997;
                                uint256 b = uint256(1997).mul(resA);
                                uint256 _c = (amtA.mul(resB)).sub(amtB.mul(resA));
                                uint256 c = _c.mul(1000).div(amtB.add(resB)).mul(resA);
                        
                                uint256 d = a.mul(c).mul(4);
                                uint256 e = Math.sqrt(b.mul(b).add(d));
                        
                                uint256 numerator = e.sub(b);
                                uint256 denominator = a.mul(2);
                        
                                return numerator.div(denominator);
                            }
                        
                            // Add ibETH and Alpha to ibETH-Alpha Pool.
                            // All ibETH and Alpha supplied are optimally swap and add too ibETH-Alpha Pool.
                            function addLiquidityTwoSidesOptimal(        
                                uint256 amountIbETHDesired,        
                                uint256 amountAlphaDesired,        
                                uint256 amountLPMin,
                                address to,
                                uint256 deadline
                            )
                                external        
                                returns (            
                                    uint256 liquidity
                                ) {        
                                if (amountIbETHDesired > 0) {
                                    TransferHelper.safeTransferFrom(ibETH, msg.sender, address(this), amountIbETHDesired);    
                                }
                                if (amountAlphaDesired > 0) {
                                    TransferHelper.safeTransferFrom(alpha, msg.sender, address(this), amountAlphaDesired);    
                                }        
                                uint256 swapAmt;
                                bool isReversed;
                                {
                                    (uint256 r0, uint256 r1, ) = IUniswapV2Pair(lpToken).getReserves();
                                    (uint256 ibETHReserve, uint256 alphaReserve) = IUniswapV2Pair(lpToken).token0() == ibETH ? (r0, r1) : (r1, r0);
                                    (swapAmt, isReversed) = optimalDeposit(amountIbETHDesired, amountAlphaDesired, ibETHReserve, alphaReserve);
                                }
                                address[] memory path = new address[](2);
                                (path[0], path[1]) = isReversed ? (alpha, ibETH) : (ibETH, alpha);        
                                IUniswapV2Router02(router).swapExactTokensForTokens(swapAmt, 0, path, address(this), now);                
                                (,, liquidity) = IUniswapV2Router02(router).addLiquidity(
                                    alpha,
                                    ibETH,
                                    IERC20(alpha).balanceOf(address(this)),            
                                    IBank(ibETH).balanceOf(address(this)),
                                    0,            
                                    0,
                                    to,
                                    deadline
                                );        
                                uint256 dustAlpha = IERC20(alpha).balanceOf(address(this));
                                uint256 dustIbETH = IBank(ibETH).balanceOf(address(this));
                                if (dustAlpha > 0) {
                                    TransferHelper.safeTransfer(alpha, msg.sender, dustAlpha);
                                }    
                                if (dustIbETH > 0) {
                                    TransferHelper.safeTransfer(ibETH, msg.sender, dustIbETH);
                                }                    
                                require(liquidity >= amountLPMin, "IbETHRouter: receive less lpToken than amountLPMin");
                            }
                        
                            // Add ETH and Alpha to ibETH-Alpha Pool.
                            // All ETH and Alpha supplied are optimally swap and add too ibETH-Alpha Pool.
                            function addLiquidityTwoSidesOptimalETH(                
                                uint256 amountAlphaDesired,        
                                uint256 amountLPMin,
                                address to,
                                uint256 deadline
                            )
                                external
                                payable        
                                returns (            
                                    uint256 liquidity
                                ) {                
                                if (amountAlphaDesired > 0) {
                                    TransferHelper.safeTransferFrom(alpha, msg.sender, address(this), amountAlphaDesired);    
                                }       
                                IBank(ibETH).deposit.value(msg.value)();   
                                uint256 amountIbETHDesired = IBank(ibETH).balanceOf(address(this));                  
                                uint256 swapAmt;
                                bool isReversed;
                                {
                                    (uint256 r0, uint256 r1, ) = IUniswapV2Pair(lpToken).getReserves();
                                    (uint256 ibETHReserve, uint256 alphaReserve) = IUniswapV2Pair(lpToken).token0() == ibETH ? (r0, r1) : (r1, r0);
                                    (swapAmt, isReversed) = optimalDeposit(amountIbETHDesired, amountAlphaDesired, ibETHReserve, alphaReserve);
                                }        
                                address[] memory path = new address[](2);
                                (path[0], path[1]) = isReversed ? (alpha, ibETH) : (ibETH, alpha);        
                                IUniswapV2Router02(router).swapExactTokensForTokens(swapAmt, 0, path, address(this), now);                
                                (,, liquidity) = IUniswapV2Router02(router).addLiquidity(
                                    alpha,
                                    ibETH,
                                    IERC20(alpha).balanceOf(address(this)),            
                                    IBank(ibETH).balanceOf(address(this)),
                                    0,            
                                    0,
                                    to,
                                    deadline
                                );        
                                uint256 dustAlpha = IERC20(alpha).balanceOf(address(this));
                                uint256 dustIbETH = IBank(ibETH).balanceOf(address(this));
                                if (dustAlpha > 0) {
                                    TransferHelper.safeTransfer(alpha, msg.sender, dustAlpha);
                                }    
                                if (dustIbETH > 0) {
                                    TransferHelper.safeTransfer(ibETH, msg.sender, dustIbETH);
                                }                    
                                require(liquidity >= amountLPMin, "IbETHRouter: receive less lpToken than amountLPMin");
                            }
                              
                            // Remove ETH and Alpha from ibETH-Alpha Pool.
                            // 1. Remove ibETH and Alpha from the pool.
                            // 2. Unwrap ibETH to ETH.
                            // 3. Return ETH and Alpha to caller.
                            function removeLiquidityETH(        
                                uint256 liquidity,
                                uint256 amountAlphaMin,
                                uint256 amountETHMin,
                                address to,
                                uint256 deadline
                            ) public returns (uint256 amountAlpha, uint256 amountETH) {                  
                                TransferHelper.safeTransferFrom(lpToken, msg.sender, address(this), liquidity);          
                                uint256 amountIbETH;
                                (amountAlpha, amountIbETH) = IUniswapV2Router02(router).removeLiquidity(
                                    alpha,
                                    ibETH,
                                    liquidity,
                                    amountAlphaMin,
                                    0,
                                    address(this),
                                    deadline
                                );                        
                                TransferHelper.safeTransfer(alpha, to, amountAlpha); 
                                IBank(ibETH).withdraw(amountIbETH);        
                                amountETH = address(this).balance;
                                if (amountETH > 0) {
                                    TransferHelper.safeTransferETH(msg.sender, address(this).balance);
                                }
                                require(amountETH >= amountETHMin, "IbETHRouter: receive less ETH than amountETHmin");                               
                            }
                        
                            // Remove liquidity from ibETH-Alpha Pool and convert all ibETH to Alpha 
                            // 1. Remove ibETH and Alpha from the pool.
                            // 2. Swap ibETH for Alpha.
                            // 3. Return Alpha to caller.   
                            function removeLiquidityAllAlpha(        
                                uint256 liquidity,
                                uint256 amountAlphaMin,        
                                address to,
                                uint256 deadline
                            ) public returns (uint256 amountAlpha) {                  
                                TransferHelper.safeTransferFrom(lpToken, msg.sender, address(this), liquidity);          
                                (uint256 removeAmountAlpha, uint256 removeAmountIbETH) = IUniswapV2Router02(router).removeLiquidity(
                                    alpha,
                                    ibETH,
                                    liquidity,
                                    0,
                                    0,
                                    address(this),
                                    deadline
                                );        
                                address[] memory path = new address[](2);
                                path[0] = ibETH;
                                path[1] = alpha;
                                uint256[] memory amounts = IUniswapV2Router02(router).swapExactTokensForTokens(removeAmountIbETH, 0, path, to, deadline);               
                                TransferHelper.safeTransfer(alpha, to, removeAmountAlpha);                        
                                amountAlpha = removeAmountAlpha.add(amounts[1]);
                                require(amountAlpha >= amountAlphaMin, "IbETHRouter: receive less Alpha than amountAlphaMin");                               
                            }       
                        
                            // Swap exact amount of ETH for Token
                            // 1. Receive ETH from caller
                            // 2. Wrap ETH to ibETH.
                            // 3. Swap ibETH for Token    
                            function swapExactETHForAlpha(
                                uint256 amountAlphaOutMin,        
                                address to,
                                uint256 deadline
                            ) external payable returns (uint256[] memory amounts) {                           
                                IBank(ibETH).deposit.value(msg.value)();   
                                address[] memory path = new address[](2);
                                path[0] = ibETH;
                                path[1] = alpha;     
                                uint256[] memory swapAmounts = IUniswapV2Router02(router).swapExactTokensForTokens(IBank(ibETH).balanceOf(address(this)), amountAlphaOutMin, path, to, deadline);
                                amounts = new uint256[](2);        
                                amounts[0] = msg.value;
                                amounts[1] = swapAmounts[1];
                            }
                        
                            // Swap Token for exact amount of ETH
                            // 1. Receive Token from caller
                            // 2. Swap Token for ibETH.
                            // 3. Unwrap ibETH to ETH.
                            function swapAlphaForExactETH(
                                uint256 amountETHOut,
                                uint256 amountAlphaInMax,         
                                address to,
                                uint256 deadline
                            ) external returns (uint256[] memory amounts) {
                                TransferHelper.safeTransferFrom(alpha, msg.sender, address(this), amountAlphaInMax);
                                address[] memory path = new address[](2);
                                path[0] = alpha;
                                path[1] = ibETH;
                                IBank(ibETH).withdraw(0);
                                uint256[] memory swapAmounts = IUniswapV2Router02(router).swapTokensForExactTokens(ibETHForExactETH(amountETHOut), amountAlphaInMax, path, address(this), deadline);                           
                                IBank(ibETH).withdraw(swapAmounts[1]);
                                amounts = new uint256[](2);
                                amounts[0] = swapAmounts[0];
                                amounts[1] = address(this).balance;
                                TransferHelper.safeTransferETH(to, address(this).balance);        
                                if (amountAlphaInMax > amounts[0]) {
                                    TransferHelper.safeTransfer(alpha, msg.sender, amountAlphaInMax.sub(amounts[0]));
                                }                    
                            }
                        
                            // Swap exact amount of Token for ETH
                            // 1. Receive Token from caller
                            // 2. Swap Token for ibETH.
                            // 3. Unwrap ibETH to ETH.
                            function swapExactAlphaForETH(
                                uint256 amountAlphaIn,
                                uint256 amountETHOutMin,         
                                address to,
                                uint256 deadline
                            ) external returns (uint256[] memory amounts) {
                                TransferHelper.safeTransferFrom(alpha, msg.sender, address(this), amountAlphaIn); 
                                address[] memory path = new address[](2);
                                path[0] = alpha;
                                path[1] = ibETH;
                                uint256[] memory swapAmounts = IUniswapV2Router02(router).swapExactTokensForTokens(amountAlphaIn, 0, path, address(this), deadline);                        
                                IBank(ibETH).withdraw(swapAmounts[1]);        
                                amounts = new uint256[](2);
                                amounts[0] = swapAmounts[0];
                                amounts[1] = address(this).balance;
                                TransferHelper.safeTransferETH(to, amounts[1]);
                                require(amounts[1] >= amountETHOutMin, "IbETHRouter: receive less ETH than amountETHmin");                                       
                            }
                        
                            // Swap ETH for exact amount of Token
                            // 1. Receive ETH from caller
                            // 2. Wrap ETH to ibETH.
                            // 3. Swap ibETH for Token    
                            function swapETHForExactAlpha(
                                uint256 amountAlphaOut,          
                                address to,
                                uint256 deadline
                            ) external payable returns (uint256[] memory amounts) {             
                                IBank(ibETH).deposit.value(msg.value)();              
                                uint256 amountIbETHInMax = IBank(ibETH).balanceOf(address(this));        
                                address[] memory path = new address[](2);
                                path[0] = ibETH;
                                path[1] = alpha;                
                                uint256[] memory swapAmounts = IUniswapV2Router02(router).swapTokensForExactTokens(amountAlphaOut, amountIbETHInMax, path, to, deadline);                                                
                                amounts = new uint256[](2);               
                                amounts[0] = msg.value;
                                amounts[1] = swapAmounts[1];
                                // Transfer left over ETH back
                                if (amountIbETHInMax > swapAmounts[0]) {                         
                                    IBank(ibETH).withdraw(amountIbETHInMax.sub(swapAmounts[0]));                    
                                    amounts[0] = msg.value - address(this).balance;
                                    TransferHelper.safeTransferETH(to, address(this).balance);
                                }                                       
                            }   
                        
                            /// @dev Recover ERC20 tokens that were accidentally sent to this smart contract.
                            /// @param token The token contract. Can be anything. This contract should not hold ERC20 tokens.
                            /// @param to The address to send the tokens to.
                            /// @param value The number of tokens to transfer to `to`.
                            function recover(address token, address to, uint256 value) external onlyOwner {        
                                TransferHelper.safeTransfer(token, to, value);                
                            }
                        
                            /// @dev Recover ETH that were accidentally sent to this smart contract.    
                            /// @param to The address to send the ETH to.
                            /// @param value The number of ETH to transfer to `to`.
                            function recoverETH(address to, uint256 value) external onlyOwner {        
                                TransferHelper.safeTransferETH(to, value);                
                            }
                        }

                        File 6 of 15: UniswapV2Pair
                        // File: contracts/interfaces/IUniswapV2Pair.sol
                        
                        pragma solidity >=0.5.0;
                        
                        interface IUniswapV2Pair {
                            event Approval(address indexed owner, address indexed spender, uint value);
                            event Transfer(address indexed from, address indexed to, uint value);
                        
                            function name() external pure returns (string memory);
                            function symbol() external pure returns (string memory);
                            function decimals() external pure returns (uint8);
                            function totalSupply() external view returns (uint);
                            function balanceOf(address owner) external view returns (uint);
                            function allowance(address owner, address spender) external view returns (uint);
                        
                            function approve(address spender, uint value) external returns (bool);
                            function transfer(address to, uint value) external returns (bool);
                            function transferFrom(address from, address to, uint value) external returns (bool);
                        
                            function DOMAIN_SEPARATOR() external view returns (bytes32);
                            function PERMIT_TYPEHASH() external pure returns (bytes32);
                            function nonces(address owner) external view returns (uint);
                        
                            function permit(address owner, address spender, uint value, uint deadline, uint8 v, bytes32 r, bytes32 s) external;
                        
                            event Mint(address indexed sender, uint amount0, uint amount1);
                            event Burn(address indexed sender, uint amount0, uint amount1, address indexed to);
                            event Swap(
                                address indexed sender,
                                uint amount0In,
                                uint amount1In,
                                uint amount0Out,
                                uint amount1Out,
                                address indexed to
                            );
                            event Sync(uint112 reserve0, uint112 reserve1);
                        
                            function MINIMUM_LIQUIDITY() external pure returns (uint);
                            function factory() external view returns (address);
                            function token0() external view returns (address);
                            function token1() external view returns (address);
                            function getReserves() external view returns (uint112 reserve0, uint112 reserve1, uint32 blockTimestampLast);
                            function price0CumulativeLast() external view returns (uint);
                            function price1CumulativeLast() external view returns (uint);
                            function kLast() external view returns (uint);
                        
                            function mint(address to) external returns (uint liquidity);
                            function burn(address to) external returns (uint amount0, uint amount1);
                            function swap(uint amount0Out, uint amount1Out, address to, bytes calldata data) external;
                            function skim(address to) external;
                            function sync() external;
                        
                            function initialize(address, address) external;
                        }
                        
                        // File: contracts/interfaces/IUniswapV2ERC20.sol
                        
                        pragma solidity >=0.5.0;
                        
                        interface IUniswapV2ERC20 {
                            event Approval(address indexed owner, address indexed spender, uint value);
                            event Transfer(address indexed from, address indexed to, uint value);
                        
                            function name() external pure returns (string memory);
                            function symbol() external pure returns (string memory);
                            function decimals() external pure returns (uint8);
                            function totalSupply() external view returns (uint);
                            function balanceOf(address owner) external view returns (uint);
                            function allowance(address owner, address spender) external view returns (uint);
                        
                            function approve(address spender, uint value) external returns (bool);
                            function transfer(address to, uint value) external returns (bool);
                            function transferFrom(address from, address to, uint value) external returns (bool);
                        
                            function DOMAIN_SEPARATOR() external view returns (bytes32);
                            function PERMIT_TYPEHASH() external pure returns (bytes32);
                            function nonces(address owner) external view returns (uint);
                        
                            function permit(address owner, address spender, uint value, uint deadline, uint8 v, bytes32 r, bytes32 s) external;
                        }
                        
                        // File: contracts/libraries/SafeMath.sol
                        
                        pragma solidity =0.5.16;
                        
                        // a library for performing overflow-safe math, courtesy of DappHub (https://github.com/dapphub/ds-math)
                        
                        library SafeMath {
                            function add(uint x, uint y) internal pure returns (uint z) {
                                require((z = x + y) >= x, 'ds-math-add-overflow');
                            }
                        
                            function sub(uint x, uint y) internal pure returns (uint z) {
                                require((z = x - y) <= x, 'ds-math-sub-underflow');
                            }
                        
                            function mul(uint x, uint y) internal pure returns (uint z) {
                                require(y == 0 || (z = x * y) / y == x, 'ds-math-mul-overflow');
                            }
                        }
                        
                        // File: contracts/UniswapV2ERC20.sol
                        
                        pragma solidity =0.5.16;
                        
                        
                        
                        contract UniswapV2ERC20 is IUniswapV2ERC20 {
                            using SafeMath for uint;
                        
                            string public constant name = 'Uniswap V2';
                            string public constant symbol = 'UNI-V2';
                            uint8 public constant decimals = 18;
                            uint  public totalSupply;
                            mapping(address => uint) public balanceOf;
                            mapping(address => mapping(address => uint)) public allowance;
                        
                            bytes32 public DOMAIN_SEPARATOR;
                            // keccak256("Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)");
                            bytes32 public constant PERMIT_TYPEHASH = 0x6e71edae12b1b97f4d1f60370fef10105fa2faae0126114a169c64845d6126c9;
                            mapping(address => uint) public nonces;
                        
                            event Approval(address indexed owner, address indexed spender, uint value);
                            event Transfer(address indexed from, address indexed to, uint value);
                        
                            constructor() public {
                                uint chainId;
                                assembly {
                                    chainId := chainid
                                }
                                DOMAIN_SEPARATOR = keccak256(
                                    abi.encode(
                                        keccak256('EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)'),
                                        keccak256(bytes(name)),
                                        keccak256(bytes('1')),
                                        chainId,
                                        address(this)
                                    )
                                );
                            }
                        
                            function _mint(address to, uint value) internal {
                                totalSupply = totalSupply.add(value);
                                balanceOf[to] = balanceOf[to].add(value);
                                emit Transfer(address(0), to, value);
                            }
                        
                            function _burn(address from, uint value) internal {
                                balanceOf[from] = balanceOf[from].sub(value);
                                totalSupply = totalSupply.sub(value);
                                emit Transfer(from, address(0), value);
                            }
                        
                            function _approve(address owner, address spender, uint value) private {
                                allowance[owner][spender] = value;
                                emit Approval(owner, spender, value);
                            }
                        
                            function _transfer(address from, address to, uint value) private {
                                balanceOf[from] = balanceOf[from].sub(value);
                                balanceOf[to] = balanceOf[to].add(value);
                                emit Transfer(from, to, value);
                            }
                        
                            function approve(address spender, uint value) external returns (bool) {
                                _approve(msg.sender, spender, value);
                                return true;
                            }
                        
                            function transfer(address to, uint value) external returns (bool) {
                                _transfer(msg.sender, to, value);
                                return true;
                            }
                        
                            function transferFrom(address from, address to, uint value) external returns (bool) {
                                if (allowance[from][msg.sender] != uint(-1)) {
                                    allowance[from][msg.sender] = allowance[from][msg.sender].sub(value);
                                }
                                _transfer(from, to, value);
                                return true;
                            }
                        
                            function permit(address owner, address spender, uint value, uint deadline, uint8 v, bytes32 r, bytes32 s) external {
                                require(deadline >= block.timestamp, 'UniswapV2: EXPIRED');
                                bytes32 digest = keccak256(
                                    abi.encodePacked(
                                        '\x19\x01',
                                        DOMAIN_SEPARATOR,
                                        keccak256(abi.encode(PERMIT_TYPEHASH, owner, spender, value, nonces[owner]++, deadline))
                                    )
                                );
                                address recoveredAddress = ecrecover(digest, v, r, s);
                                require(recoveredAddress != address(0) && recoveredAddress == owner, 'UniswapV2: INVALID_SIGNATURE');
                                _approve(owner, spender, value);
                            }
                        }
                        
                        // File: contracts/libraries/Math.sol
                        
                        pragma solidity =0.5.16;
                        
                        // a library for performing various math operations
                        
                        library Math {
                            function min(uint x, uint y) internal pure returns (uint z) {
                                z = x < y ? x : y;
                            }
                        
                            // babylonian method (https://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Babylonian_method)
                            function sqrt(uint y) internal pure returns (uint z) {
                                if (y > 3) {
                                    z = y;
                                    uint x = y / 2 + 1;
                                    while (x < z) {
                                        z = x;
                                        x = (y / x + x) / 2;
                                    }
                                } else if (y != 0) {
                                    z = 1;
                                }
                            }
                        }
                        
                        // File: contracts/libraries/UQ112x112.sol
                        
                        pragma solidity =0.5.16;
                        
                        // a library for handling binary fixed point numbers (https://en.wikipedia.org/wiki/Q_(number_format))
                        
                        // range: [0, 2**112 - 1]
                        // resolution: 1 / 2**112
                        
                        library UQ112x112 {
                            uint224 constant Q112 = 2**112;
                        
                            // encode a uint112 as a UQ112x112
                            function encode(uint112 y) internal pure returns (uint224 z) {
                                z = uint224(y) * Q112; // never overflows
                            }
                        
                            // divide a UQ112x112 by a uint112, returning a UQ112x112
                            function uqdiv(uint224 x, uint112 y) internal pure returns (uint224 z) {
                                z = x / uint224(y);
                            }
                        }
                        
                        // File: contracts/interfaces/IERC20.sol
                        
                        pragma solidity >=0.5.0;
                        
                        interface IERC20 {
                            event Approval(address indexed owner, address indexed spender, uint value);
                            event Transfer(address indexed from, address indexed to, uint value);
                        
                            function name() external view returns (string memory);
                            function symbol() external view returns (string memory);
                            function decimals() external view returns (uint8);
                            function totalSupply() external view returns (uint);
                            function balanceOf(address owner) external view returns (uint);
                            function allowance(address owner, address spender) external view returns (uint);
                        
                            function approve(address spender, uint value) external returns (bool);
                            function transfer(address to, uint value) external returns (bool);
                            function transferFrom(address from, address to, uint value) external returns (bool);
                        }
                        
                        // File: contracts/interfaces/IUniswapV2Factory.sol
                        
                        pragma solidity >=0.5.0;
                        
                        interface IUniswapV2Factory {
                            event PairCreated(address indexed token0, address indexed token1, address pair, uint);
                        
                            function feeTo() external view returns (address);
                            function feeToSetter() external view returns (address);
                        
                            function getPair(address tokenA, address tokenB) external view returns (address pair);
                            function allPairs(uint) external view returns (address pair);
                            function allPairsLength() external view returns (uint);
                        
                            function createPair(address tokenA, address tokenB) external returns (address pair);
                        
                            function setFeeTo(address) external;
                            function setFeeToSetter(address) external;
                        }
                        
                        // File: contracts/interfaces/IUniswapV2Callee.sol
                        
                        pragma solidity >=0.5.0;
                        
                        interface IUniswapV2Callee {
                            function uniswapV2Call(address sender, uint amount0, uint amount1, bytes calldata data) external;
                        }
                        
                        // File: contracts/UniswapV2Pair.sol
                        
                        pragma solidity =0.5.16;
                        
                        
                        
                        
                        
                        
                        
                        
                        contract UniswapV2Pair is IUniswapV2Pair, UniswapV2ERC20 {
                            using SafeMath  for uint;
                            using UQ112x112 for uint224;
                        
                            uint public constant MINIMUM_LIQUIDITY = 10**3;
                            bytes4 private constant SELECTOR = bytes4(keccak256(bytes('transfer(address,uint256)')));
                        
                            address public factory;
                            address public token0;
                            address public token1;
                        
                            uint112 private reserve0;           // uses single storage slot, accessible via getReserves
                            uint112 private reserve1;           // uses single storage slot, accessible via getReserves
                            uint32  private blockTimestampLast; // uses single storage slot, accessible via getReserves
                        
                            uint public price0CumulativeLast;
                            uint public price1CumulativeLast;
                            uint public kLast; // reserve0 * reserve1, as of immediately after the most recent liquidity event
                        
                            uint private unlocked = 1;
                            modifier lock() {
                                require(unlocked == 1, 'UniswapV2: LOCKED');
                                unlocked = 0;
                                _;
                                unlocked = 1;
                            }
                        
                            function getReserves() public view returns (uint112 _reserve0, uint112 _reserve1, uint32 _blockTimestampLast) {
                                _reserve0 = reserve0;
                                _reserve1 = reserve1;
                                _blockTimestampLast = blockTimestampLast;
                            }
                        
                            function _safeTransfer(address token, address to, uint value) private {
                                (bool success, bytes memory data) = token.call(abi.encodeWithSelector(SELECTOR, to, value));
                                require(success && (data.length == 0 || abi.decode(data, (bool))), 'UniswapV2: TRANSFER_FAILED');
                            }
                        
                            event Mint(address indexed sender, uint amount0, uint amount1);
                            event Burn(address indexed sender, uint amount0, uint amount1, address indexed to);
                            event Swap(
                                address indexed sender,
                                uint amount0In,
                                uint amount1In,
                                uint amount0Out,
                                uint amount1Out,
                                address indexed to
                            );
                            event Sync(uint112 reserve0, uint112 reserve1);
                        
                            constructor() public {
                                factory = msg.sender;
                            }
                        
                            // called once by the factory at time of deployment
                            function initialize(address _token0, address _token1) external {
                                require(msg.sender == factory, 'UniswapV2: FORBIDDEN'); // sufficient check
                                token0 = _token0;
                                token1 = _token1;
                            }
                        
                            // update reserves and, on the first call per block, price accumulators
                            function _update(uint balance0, uint balance1, uint112 _reserve0, uint112 _reserve1) private {
                                require(balance0 <= uint112(-1) && balance1 <= uint112(-1), 'UniswapV2: OVERFLOW');
                                uint32 blockTimestamp = uint32(block.timestamp % 2**32);
                                uint32 timeElapsed = blockTimestamp - blockTimestampLast; // overflow is desired
                                if (timeElapsed > 0 && _reserve0 != 0 && _reserve1 != 0) {
                                    // * never overflows, and + overflow is desired
                                    price0CumulativeLast += uint(UQ112x112.encode(_reserve1).uqdiv(_reserve0)) * timeElapsed;
                                    price1CumulativeLast += uint(UQ112x112.encode(_reserve0).uqdiv(_reserve1)) * timeElapsed;
                                }
                                reserve0 = uint112(balance0);
                                reserve1 = uint112(balance1);
                                blockTimestampLast = blockTimestamp;
                                emit Sync(reserve0, reserve1);
                            }
                        
                            // if fee is on, mint liquidity equivalent to 1/6th of the growth in sqrt(k)
                            function _mintFee(uint112 _reserve0, uint112 _reserve1) private returns (bool feeOn) {
                                address feeTo = IUniswapV2Factory(factory).feeTo();
                                feeOn = feeTo != address(0);
                                uint _kLast = kLast; // gas savings
                                if (feeOn) {
                                    if (_kLast != 0) {
                                        uint rootK = Math.sqrt(uint(_reserve0).mul(_reserve1));
                                        uint rootKLast = Math.sqrt(_kLast);
                                        if (rootK > rootKLast) {
                                            uint numerator = totalSupply.mul(rootK.sub(rootKLast));
                                            uint denominator = rootK.mul(5).add(rootKLast);
                                            uint liquidity = numerator / denominator;
                                            if (liquidity > 0) _mint(feeTo, liquidity);
                                        }
                                    }
                                } else if (_kLast != 0) {
                                    kLast = 0;
                                }
                            }
                        
                            // this low-level function should be called from a contract which performs important safety checks
                            function mint(address to) external lock returns (uint liquidity) {
                                (uint112 _reserve0, uint112 _reserve1,) = getReserves(); // gas savings
                                uint balance0 = IERC20(token0).balanceOf(address(this));
                                uint balance1 = IERC20(token1).balanceOf(address(this));
                                uint amount0 = balance0.sub(_reserve0);
                                uint amount1 = balance1.sub(_reserve1);
                        
                                bool feeOn = _mintFee(_reserve0, _reserve1);
                                uint _totalSupply = totalSupply; // gas savings, must be defined here since totalSupply can update in _mintFee
                                if (_totalSupply == 0) {
                                    liquidity = Math.sqrt(amount0.mul(amount1)).sub(MINIMUM_LIQUIDITY);
                                   _mint(address(0), MINIMUM_LIQUIDITY); // permanently lock the first MINIMUM_LIQUIDITY tokens
                                } else {
                                    liquidity = Math.min(amount0.mul(_totalSupply) / _reserve0, amount1.mul(_totalSupply) / _reserve1);
                                }
                                require(liquidity > 0, 'UniswapV2: INSUFFICIENT_LIQUIDITY_MINTED');
                                _mint(to, liquidity);
                        
                                _update(balance0, balance1, _reserve0, _reserve1);
                                if (feeOn) kLast = uint(reserve0).mul(reserve1); // reserve0 and reserve1 are up-to-date
                                emit Mint(msg.sender, amount0, amount1);
                            }
                        
                            // this low-level function should be called from a contract which performs important safety checks
                            function burn(address to) external lock returns (uint amount0, uint amount1) {
                                (uint112 _reserve0, uint112 _reserve1,) = getReserves(); // gas savings
                                address _token0 = token0;                                // gas savings
                                address _token1 = token1;                                // gas savings
                                uint balance0 = IERC20(_token0).balanceOf(address(this));
                                uint balance1 = IERC20(_token1).balanceOf(address(this));
                                uint liquidity = balanceOf[address(this)];
                        
                                bool feeOn = _mintFee(_reserve0, _reserve1);
                                uint _totalSupply = totalSupply; // gas savings, must be defined here since totalSupply can update in _mintFee
                                amount0 = liquidity.mul(balance0) / _totalSupply; // using balances ensures pro-rata distribution
                                amount1 = liquidity.mul(balance1) / _totalSupply; // using balances ensures pro-rata distribution
                                require(amount0 > 0 && amount1 > 0, 'UniswapV2: INSUFFICIENT_LIQUIDITY_BURNED');
                                _burn(address(this), liquidity);
                                _safeTransfer(_token0, to, amount0);
                                _safeTransfer(_token1, to, amount1);
                                balance0 = IERC20(_token0).balanceOf(address(this));
                                balance1 = IERC20(_token1).balanceOf(address(this));
                        
                                _update(balance0, balance1, _reserve0, _reserve1);
                                if (feeOn) kLast = uint(reserve0).mul(reserve1); // reserve0 and reserve1 are up-to-date
                                emit Burn(msg.sender, amount0, amount1, to);
                            }
                        
                            // this low-level function should be called from a contract which performs important safety checks
                            function swap(uint amount0Out, uint amount1Out, address to, bytes calldata data) external lock {
                                require(amount0Out > 0 || amount1Out > 0, 'UniswapV2: INSUFFICIENT_OUTPUT_AMOUNT');
                                (uint112 _reserve0, uint112 _reserve1,) = getReserves(); // gas savings
                                require(amount0Out < _reserve0 && amount1Out < _reserve1, 'UniswapV2: INSUFFICIENT_LIQUIDITY');
                        
                                uint balance0;
                                uint balance1;
                                { // scope for _token{0,1}, avoids stack too deep errors
                                address _token0 = token0;
                                address _token1 = token1;
                                require(to != _token0 && to != _token1, 'UniswapV2: INVALID_TO');
                                if (amount0Out > 0) _safeTransfer(_token0, to, amount0Out); // optimistically transfer tokens
                                if (amount1Out > 0) _safeTransfer(_token1, to, amount1Out); // optimistically transfer tokens
                                if (data.length > 0) IUniswapV2Callee(to).uniswapV2Call(msg.sender, amount0Out, amount1Out, data);
                                balance0 = IERC20(_token0).balanceOf(address(this));
                                balance1 = IERC20(_token1).balanceOf(address(this));
                                }
                                uint amount0In = balance0 > _reserve0 - amount0Out ? balance0 - (_reserve0 - amount0Out) : 0;
                                uint amount1In = balance1 > _reserve1 - amount1Out ? balance1 - (_reserve1 - amount1Out) : 0;
                                require(amount0In > 0 || amount1In > 0, 'UniswapV2: INSUFFICIENT_INPUT_AMOUNT');
                                { // scope for reserve{0,1}Adjusted, avoids stack too deep errors
                                uint balance0Adjusted = balance0.mul(1000).sub(amount0In.mul(3));
                                uint balance1Adjusted = balance1.mul(1000).sub(amount1In.mul(3));
                                require(balance0Adjusted.mul(balance1Adjusted) >= uint(_reserve0).mul(_reserve1).mul(1000**2), 'UniswapV2: K');
                                }
                        
                                _update(balance0, balance1, _reserve0, _reserve1);
                                emit Swap(msg.sender, amount0In, amount1In, amount0Out, amount1Out, to);
                            }
                        
                            // force balances to match reserves
                            function skim(address to) external lock {
                                address _token0 = token0; // gas savings
                                address _token1 = token1; // gas savings
                                _safeTransfer(_token0, to, IERC20(_token0).balanceOf(address(this)).sub(reserve0));
                                _safeTransfer(_token1, to, IERC20(_token1).balanceOf(address(this)).sub(reserve1));
                            }
                        
                            // force reserves to match balances
                            function sync() external lock {
                                _update(IERC20(token0).balanceOf(address(this)), IERC20(token1).balanceOf(address(this)), reserve0, reserve1);
                            }
                        }

                        File 7 of 15: Bank
                        // File: openzeppelin-solidity-2.3.0/contracts/ownership/Ownable.sol
                        
                        pragma solidity ^0.5.0;
                        
                        /**
                         * @dev Contract module which provides a basic access control mechanism, where
                         * there is an account (an owner) that can be granted exclusive access to
                         * specific functions.
                         *
                         * This module is used through inheritance. It will make available the modifier
                         * `onlyOwner`, which can be aplied to your functions to restrict their use to
                         * the owner.
                         */
                        contract Ownable {
                            address private _owner;
                        
                            event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);
                        
                            /**
                             * @dev Initializes the contract setting the deployer as the initial owner.
                             */
                            constructor () internal {
                                _owner = msg.sender;
                                emit OwnershipTransferred(address(0), _owner);
                            }
                        
                            /**
                             * @dev Returns the address of the current owner.
                             */
                            function owner() public view returns (address) {
                                return _owner;
                            }
                        
                            /**
                             * @dev Throws if called by any account other than the owner.
                             */
                            modifier onlyOwner() {
                                require(isOwner(), "Ownable: caller is not the owner");
                                _;
                            }
                        
                            /**
                             * @dev Returns true if the caller is the current owner.
                             */
                            function isOwner() public view returns (bool) {
                                return msg.sender == _owner;
                            }
                        
                            /**
                             * @dev Leaves the contract without owner. It will not be possible to call
                             * `onlyOwner` functions anymore. Can only be called by the current owner.
                             *
                             * > Note: Renouncing ownership will leave the contract without an owner,
                             * thereby removing any functionality that is only available to the owner.
                             */
                            function renounceOwnership() public onlyOwner {
                                emit OwnershipTransferred(_owner, address(0));
                                _owner = address(0);
                            }
                        
                            /**
                             * @dev Transfers ownership of the contract to a new account (`newOwner`).
                             * Can only be called by the current owner.
                             */
                            function transferOwnership(address newOwner) public onlyOwner {
                                _transferOwnership(newOwner);
                            }
                        
                            /**
                             * @dev Transfers ownership of the contract to a new account (`newOwner`).
                             */
                            function _transferOwnership(address newOwner) internal {
                                require(newOwner != address(0), "Ownable: new owner is the zero address");
                                emit OwnershipTransferred(_owner, newOwner);
                                _owner = newOwner;
                            }
                        }
                        
                        // File: openzeppelin-solidity-2.3.0/contracts/token/ERC20/IERC20.sol
                        
                        pragma solidity ^0.5.0;
                        
                        /**
                         * @dev Interface of the ERC20 standard as defined in the EIP. Does not include
                         * the optional functions; to access them see `ERC20Detailed`.
                         */
                        interface IERC20 {
                            /**
                             * @dev Returns the amount of tokens in existence.
                             */
                            function totalSupply() external view returns (uint256);
                        
                            /**
                             * @dev Returns the amount of tokens owned by `account`.
                             */
                            function balanceOf(address account) external view returns (uint256);
                        
                            /**
                             * @dev Moves `amount` tokens from the caller's account to `recipient`.
                             *
                             * Returns a boolean value indicating whether the operation succeeded.
                             *
                             * Emits a `Transfer` event.
                             */
                            function transfer(address recipient, uint256 amount) external returns (bool);
                        
                            /**
                             * @dev Returns the remaining number of tokens that `spender` will be
                             * allowed to spend on behalf of `owner` through `transferFrom`. This is
                             * zero by default.
                             *
                             * This value changes when `approve` or `transferFrom` are called.
                             */
                            function allowance(address owner, address spender) external view returns (uint256);
                        
                            /**
                             * @dev Sets `amount` as the allowance of `spender` over the caller's tokens.
                             *
                             * Returns a boolean value indicating whether the operation succeeded.
                             *
                             * > Beware that changing an allowance with this method brings the risk
                             * that someone may use both the old and the new allowance by unfortunate
                             * transaction ordering. One possible solution to mitigate this race
                             * condition is to first reduce the spender's allowance to 0 and set the
                             * desired value afterwards:
                             * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
                             *
                             * Emits an `Approval` event.
                             */
                            function approve(address spender, uint256 amount) external returns (bool);
                        
                            /**
                             * @dev Moves `amount` tokens from `sender` to `recipient` using the
                             * allowance mechanism. `amount` is then deducted from the caller's
                             * allowance.
                             *
                             * Returns a boolean value indicating whether the operation succeeded.
                             *
                             * Emits a `Transfer` event.
                             */
                            function transferFrom(address sender, address recipient, uint256 amount) external returns (bool);
                        
                            /**
                             * @dev Emitted when `value` tokens are moved from one account (`from`) to
                             * another (`to`).
                             *
                             * Note that `value` may be zero.
                             */
                            event Transfer(address indexed from, address indexed to, uint256 value);
                        
                            /**
                             * @dev Emitted when the allowance of a `spender` for an `owner` is set by
                             * a call to `approve`. `value` is the new allowance.
                             */
                            event Approval(address indexed owner, address indexed spender, uint256 value);
                        }
                        
                        // File: openzeppelin-solidity-2.3.0/contracts/math/SafeMath.sol
                        
                        pragma solidity ^0.5.0;
                        
                        /**
                         * @dev Wrappers over Solidity's arithmetic operations with added overflow
                         * checks.
                         *
                         * Arithmetic operations in Solidity wrap on overflow. This can easily result
                         * in bugs, because programmers usually assume that an overflow raises an
                         * error, which is the standard behavior in high level programming languages.
                         * `SafeMath` restores this intuition by reverting the transaction when an
                         * operation overflows.
                         *
                         * Using this library instead of the unchecked operations eliminates an entire
                         * class of bugs, so it's recommended to use it always.
                         */
                        library SafeMath {
                            /**
                             * @dev Returns the addition of two unsigned integers, reverting on
                             * overflow.
                             *
                             * Counterpart to Solidity's `+` operator.
                             *
                             * Requirements:
                             * - Addition cannot overflow.
                             */
                            function add(uint256 a, uint256 b) internal pure returns (uint256) {
                                uint256 c = a + b;
                                require(c >= a, "SafeMath: addition overflow");
                        
                                return c;
                            }
                        
                            /**
                             * @dev Returns the subtraction of two unsigned integers, reverting on
                             * overflow (when the result is negative).
                             *
                             * Counterpart to Solidity's `-` operator.
                             *
                             * Requirements:
                             * - Subtraction cannot overflow.
                             */
                            function sub(uint256 a, uint256 b) internal pure returns (uint256) {
                                require(b <= a, "SafeMath: subtraction overflow");
                                uint256 c = a - b;
                        
                                return c;
                            }
                        
                            /**
                             * @dev Returns the multiplication of two unsigned integers, reverting on
                             * overflow.
                             *
                             * Counterpart to Solidity's `*` operator.
                             *
                             * Requirements:
                             * - Multiplication cannot overflow.
                             */
                            function mul(uint256 a, uint256 b) internal pure returns (uint256) {
                                // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
                                // benefit is lost if 'b' is also tested.
                                // See: https://github.com/OpenZeppelin/openzeppelin-solidity/pull/522
                                if (a == 0) {
                                    return 0;
                                }
                        
                                uint256 c = a * b;
                                require(c / a == b, "SafeMath: multiplication overflow");
                        
                                return c;
                            }
                        
                            /**
                             * @dev Returns the integer division of two unsigned integers. Reverts on
                             * division by zero. The result is rounded towards zero.
                             *
                             * Counterpart to Solidity's `/` operator. Note: this function uses a
                             * `revert` opcode (which leaves remaining gas untouched) while Solidity
                             * uses an invalid opcode to revert (consuming all remaining gas).
                             *
                             * Requirements:
                             * - The divisor cannot be zero.
                             */
                            function div(uint256 a, uint256 b) internal pure returns (uint256) {
                                // Solidity only automatically asserts when dividing by 0
                                require(b > 0, "SafeMath: division by zero");
                                uint256 c = a / b;
                                // assert(a == b * c + a % b); // There is no case in which this doesn't hold
                        
                                return c;
                            }
                        
                            /**
                             * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
                             * Reverts when dividing by zero.
                             *
                             * Counterpart to Solidity's `%` operator. This function uses a `revert`
                             * opcode (which leaves remaining gas untouched) while Solidity uses an
                             * invalid opcode to revert (consuming all remaining gas).
                             *
                             * Requirements:
                             * - The divisor cannot be zero.
                             */
                            function mod(uint256 a, uint256 b) internal pure returns (uint256) {
                                require(b != 0, "SafeMath: modulo by zero");
                                return a % b;
                            }
                        }
                        
                        // File: openzeppelin-solidity-2.3.0/contracts/token/ERC20/ERC20.sol
                        
                        pragma solidity ^0.5.0;
                        
                        
                        
                        /**
                         * @dev Implementation of the `IERC20` interface.
                         *
                         * This implementation is agnostic to the way tokens are created. This means
                         * that a supply mechanism has to be added in a derived contract using `_mint`.
                         * For a generic mechanism see `ERC20Mintable`.
                         *
                         * *For a detailed writeup see our guide [How to implement supply
                         * mechanisms](https://forum.zeppelin.solutions/t/how-to-implement-erc20-supply-mechanisms/226).*
                         *
                         * We have followed general OpenZeppelin guidelines: functions revert instead
                         * of returning `false` on failure. This behavior is nonetheless conventional
                         * and does not conflict with the expectations of ERC20 applications.
                         *
                         * Additionally, an `Approval` event is emitted on calls to `transferFrom`.
                         * This allows applications to reconstruct the allowance for all accounts just
                         * by listening to said events. Other implementations of the EIP may not emit
                         * these events, as it isn't required by the specification.
                         *
                         * Finally, the non-standard `decreaseAllowance` and `increaseAllowance`
                         * functions have been added to mitigate the well-known issues around setting
                         * allowances. See `IERC20.approve`.
                         */
                        contract ERC20 is IERC20 {
                            using SafeMath for uint256;
                        
                            mapping (address => uint256) private _balances;
                        
                            mapping (address => mapping (address => uint256)) private _allowances;
                        
                            uint256 private _totalSupply;
                        
                            /**
                             * @dev See `IERC20.totalSupply`.
                             */
                            function totalSupply() public view returns (uint256) {
                                return _totalSupply;
                            }
                        
                            /**
                             * @dev See `IERC20.balanceOf`.
                             */
                            function balanceOf(address account) public view returns (uint256) {
                                return _balances[account];
                            }
                        
                            /**
                             * @dev See `IERC20.transfer`.
                             *
                             * Requirements:
                             *
                             * - `recipient` cannot be the zero address.
                             * - the caller must have a balance of at least `amount`.
                             */
                            function transfer(address recipient, uint256 amount) public returns (bool) {
                                _transfer(msg.sender, recipient, amount);
                                return true;
                            }
                        
                            /**
                             * @dev See `IERC20.allowance`.
                             */
                            function allowance(address owner, address spender) public view returns (uint256) {
                                return _allowances[owner][spender];
                            }
                        
                            /**
                             * @dev See `IERC20.approve`.
                             *
                             * Requirements:
                             *
                             * - `spender` cannot be the zero address.
                             */
                            function approve(address spender, uint256 value) public returns (bool) {
                                _approve(msg.sender, spender, value);
                                return true;
                            }
                        
                            /**
                             * @dev See `IERC20.transferFrom`.
                             *
                             * Emits an `Approval` event indicating the updated allowance. This is not
                             * required by the EIP. See the note at the beginning of `ERC20`;
                             *
                             * Requirements:
                             * - `sender` and `recipient` cannot be the zero address.
                             * - `sender` must have a balance of at least `value`.
                             * - the caller must have allowance for `sender`'s tokens of at least
                             * `amount`.
                             */
                            function transferFrom(address sender, address recipient, uint256 amount) public returns (bool) {
                                _transfer(sender, recipient, amount);
                                _approve(sender, msg.sender, _allowances[sender][msg.sender].sub(amount));
                                return true;
                            }
                        
                            /**
                             * @dev Atomically increases the allowance granted to `spender` by the caller.
                             *
                             * This is an alternative to `approve` that can be used as a mitigation for
                             * problems described in `IERC20.approve`.
                             *
                             * Emits an `Approval` event indicating the updated allowance.
                             *
                             * Requirements:
                             *
                             * - `spender` cannot be the zero address.
                             */
                            function increaseAllowance(address spender, uint256 addedValue) public returns (bool) {
                                _approve(msg.sender, spender, _allowances[msg.sender][spender].add(addedValue));
                                return true;
                            }
                        
                            /**
                             * @dev Atomically decreases the allowance granted to `spender` by the caller.
                             *
                             * This is an alternative to `approve` that can be used as a mitigation for
                             * problems described in `IERC20.approve`.
                             *
                             * Emits an `Approval` event indicating the updated allowance.
                             *
                             * Requirements:
                             *
                             * - `spender` cannot be the zero address.
                             * - `spender` must have allowance for the caller of at least
                             * `subtractedValue`.
                             */
                            function decreaseAllowance(address spender, uint256 subtractedValue) public returns (bool) {
                                _approve(msg.sender, spender, _allowances[msg.sender][spender].sub(subtractedValue));
                                return true;
                            }
                        
                            /**
                             * @dev Moves tokens `amount` from `sender` to `recipient`.
                             *
                             * This is internal function is equivalent to `transfer`, and can be used to
                             * e.g. implement automatic token fees, slashing mechanisms, etc.
                             *
                             * Emits a `Transfer` event.
                             *
                             * Requirements:
                             *
                             * - `sender` cannot be the zero address.
                             * - `recipient` cannot be the zero address.
                             * - `sender` must have a balance of at least `amount`.
                             */
                            function _transfer(address sender, address recipient, uint256 amount) internal {
                                require(sender != address(0), "ERC20: transfer from the zero address");
                                require(recipient != address(0), "ERC20: transfer to the zero address");
                        
                                _balances[sender] = _balances[sender].sub(amount);
                                _balances[recipient] = _balances[recipient].add(amount);
                                emit Transfer(sender, recipient, amount);
                            }
                        
                            /** @dev Creates `amount` tokens and assigns them to `account`, increasing
                             * the total supply.
                             *
                             * Emits a `Transfer` event with `from` set to the zero address.
                             *
                             * Requirements
                             *
                             * - `to` cannot be the zero address.
                             */
                            function _mint(address account, uint256 amount) internal {
                                require(account != address(0), "ERC20: mint to the zero address");
                        
                                _totalSupply = _totalSupply.add(amount);
                                _balances[account] = _balances[account].add(amount);
                                emit Transfer(address(0), account, amount);
                            }
                        
                             /**
                             * @dev Destoys `amount` tokens from `account`, reducing the
                             * total supply.
                             *
                             * Emits a `Transfer` event with `to` set to the zero address.
                             *
                             * Requirements
                             *
                             * - `account` cannot be the zero address.
                             * - `account` must have at least `amount` tokens.
                             */
                            function _burn(address account, uint256 value) internal {
                                require(account != address(0), "ERC20: burn from the zero address");
                        
                                _totalSupply = _totalSupply.sub(value);
                                _balances[account] = _balances[account].sub(value);
                                emit Transfer(account, address(0), value);
                            }
                        
                            /**
                             * @dev Sets `amount` as the allowance of `spender` over the `owner`s tokens.
                             *
                             * This is internal function is equivalent to `approve`, and can be used to
                             * e.g. set automatic allowances for certain subsystems, etc.
                             *
                             * Emits an `Approval` event.
                             *
                             * Requirements:
                             *
                             * - `owner` cannot be the zero address.
                             * - `spender` cannot be the zero address.
                             */
                            function _approve(address owner, address spender, uint256 value) internal {
                                require(owner != address(0), "ERC20: approve from the zero address");
                                require(spender != address(0), "ERC20: approve to the zero address");
                        
                                _allowances[owner][spender] = value;
                                emit Approval(owner, spender, value);
                            }
                        
                            /**
                             * @dev Destoys `amount` tokens from `account`.`amount` is then deducted
                             * from the caller's allowance.
                             *
                             * See `_burn` and `_approve`.
                             */
                            function _burnFrom(address account, uint256 amount) internal {
                                _burn(account, amount);
                                _approve(account, msg.sender, _allowances[account][msg.sender].sub(amount));
                            }
                        }
                        
                        // File: openzeppelin-solidity-2.3.0/contracts/math/Math.sol
                        
                        pragma solidity ^0.5.0;
                        
                        /**
                         * @dev Standard math utilities missing in the Solidity language.
                         */
                        library Math {
                            /**
                             * @dev Returns the largest of two numbers.
                             */
                            function max(uint256 a, uint256 b) internal pure returns (uint256) {
                                return a >= b ? a : b;
                            }
                        
                            /**
                             * @dev Returns the smallest of two numbers.
                             */
                            function min(uint256 a, uint256 b) internal pure returns (uint256) {
                                return a < b ? a : b;
                            }
                        
                            /**
                             * @dev Returns the average of two numbers. The result is rounded towards
                             * zero.
                             */
                            function average(uint256 a, uint256 b) internal pure returns (uint256) {
                                // (a + b) / 2 can overflow, so we distribute
                                return (a / 2) + (b / 2) + ((a % 2 + b % 2) / 2);
                            }
                        }
                        
                        // File: openzeppelin-solidity-2.3.0/contracts/utils/ReentrancyGuard.sol
                        
                        pragma solidity ^0.5.0;
                        
                        /**
                         * @dev Contract module that helps prevent reentrant calls to a function.
                         *
                         * Inheriting from `ReentrancyGuard` will make the `nonReentrant` modifier
                         * available, which can be aplied to functions to make sure there are no nested
                         * (reentrant) calls to them.
                         *
                         * Note that because there is a single `nonReentrant` guard, functions marked as
                         * `nonReentrant` may not call one another. This can be worked around by making
                         * those functions `private`, and then adding `external` `nonReentrant` entry
                         * points to them.
                         */
                        contract ReentrancyGuard {
                            /// @dev counter to allow mutex lock with only one SSTORE operation
                            uint256 private _guardCounter;
                        
                            constructor () internal {
                                // The counter starts at one to prevent changing it from zero to a non-zero
                                // value, which is a more expensive operation.
                                _guardCounter = 1;
                            }
                        
                            /**
                             * @dev Prevents a contract from calling itself, directly or indirectly.
                             * Calling a `nonReentrant` function from another `nonReentrant`
                             * function is not supported. It is possible to prevent this from happening
                             * by making the `nonReentrant` function external, and make it call a
                             * `private` function that does the actual work.
                             */
                            modifier nonReentrant() {
                                _guardCounter += 1;
                                uint256 localCounter = _guardCounter;
                                _;
                                require(localCounter == _guardCounter, "ReentrancyGuard: reentrant call");
                            }
                        }
                        
                        // File: contracts/BankConfig.sol
                        
                        pragma solidity 0.5.16;
                        
                        interface BankConfig {
                            /// @dev Return minimum ETH debt size per position.
                            function minDebtSize() external view returns (uint256);
                        
                            /// @dev Return the interest rate per second, using 1e18 as denom.
                            function getInterestRate(uint256 debt, uint256 floating) external view returns (uint256);
                        
                            /// @dev Return the bps rate for reserve pool.
                            function getReservePoolBps() external view returns (uint256);
                        
                            /// @dev Return the bps rate for Avada Kill caster.
                            function getKillBps() external view returns (uint256);
                        
                            /// @dev Return whether the given address is a goblin.
                            function isGoblin(address goblin) external view returns (bool);
                        
                            /// @dev Return whether the given goblin accepts more debt. Revert on non-goblin.
                            function acceptDebt(address goblin) external view returns (bool);
                        
                            /// @dev Return the work factor for the goblin + ETH debt, using 1e4 as denom. Revert on non-goblin.
                            function workFactor(address goblin, uint256 debt) external view returns (uint256);
                        
                            /// @dev Return the kill factor for the goblin + ETH debt, using 1e4 as denom. Revert on non-goblin.
                            function killFactor(address goblin, uint256 debt) external view returns (uint256);
                        }
                        
                        // File: contracts/Goblin.sol
                        
                        pragma solidity 0.5.16;
                        
                        interface Goblin {
                            /// @dev Work on a (potentially new) position. Optionally send ETH back to Bank.
                            function work(uint256 id, address user, uint256 debt, bytes calldata data) external payable;
                        
                            /// @dev Re-invest whatever the goblin is working on.
                            function reinvest() external;
                        
                            /// @dev Return the amount of ETH wei to get back if we are to liquidate the position.
                            function health(uint256 id) external view returns (uint256);
                        
                            /// @dev Liquidate the given position to ETH. Send all ETH back to Bank.
                            function liquidate(uint256 id) external;
                        }
                        
                        // File: contracts/SafeToken.sol
                        
                        pragma solidity 0.5.16;
                        
                        interface ERC20Interface {
                            function balanceOf(address user) external view returns (uint256);
                        }
                        
                        library SafeToken {
                            function myBalance(address token) internal view returns (uint256) {
                                return ERC20Interface(token).balanceOf(address(this));
                            }
                        
                            function balanceOf(address token, address user) internal view returns (uint256) {
                                return ERC20Interface(token).balanceOf(user);
                            }
                        
                            function safeApprove(address token, address to, uint256 value) internal {
                                // bytes4(keccak256(bytes('approve(address,uint256)')));
                                (bool success, bytes memory data) = token.call(abi.encodeWithSelector(0x095ea7b3, to, value));
                                require(success && (data.length == 0 || abi.decode(data, (bool))), "!safeApprove");
                            }
                        
                            function safeTransfer(address token, address to, uint256 value) internal {
                                // bytes4(keccak256(bytes('transfer(address,uint256)')));
                                (bool success, bytes memory data) = token.call(abi.encodeWithSelector(0xa9059cbb, to, value));
                                require(success && (data.length == 0 || abi.decode(data, (bool))), "!safeTransfer");
                            }
                        
                            function safeTransferFrom(address token, address from, address to, uint256 value) internal {
                                // bytes4(keccak256(bytes('transferFrom(address,address,uint256)')));
                                (bool success, bytes memory data) = token.call(abi.encodeWithSelector(0x23b872dd, from, to, value));
                                require(success && (data.length == 0 || abi.decode(data, (bool))), "!safeTransferFrom");
                            }
                        
                            function safeTransferETH(address to, uint256 value) internal {
                                (bool success, ) = to.call.value(value)(new bytes(0));
                                require(success, "!safeTransferETH");
                            }
                        }
                        
                        // File: contracts/Bank.sol
                        
                        pragma solidity 0.5.16;
                        
                        
                        
                        
                        
                        
                        
                        
                        
                        contract Bank is ERC20, ReentrancyGuard, Ownable {
                            /// @notice Libraries
                            using SafeToken for address;
                            using SafeMath for uint256;
                        
                            /// @notice Events
                            event AddDebt(uint256 indexed id, uint256 debtShare);
                            event RemoveDebt(uint256 indexed id, uint256 debtShare);
                            event Work(uint256 indexed id, uint256 loan);
                            event Kill(uint256 indexed id, address indexed killer, uint256 prize, uint256 left);
                        
                            string public name = "Interest Bearing ETH";
                            string public symbol = "ibETH";
                            uint8 public decimals = 18;
                        
                            struct Position {
                                address goblin;
                                address owner;
                                uint256 debtShare;
                            }
                        
                            BankConfig public config;
                            mapping (uint256 => Position) public positions;
                            uint256 public nextPositionID = 1;
                        
                            uint256 public glbDebtShare;
                            uint256 public glbDebtVal;
                            uint256 public lastAccrueTime;
                            uint256 public reservePool;
                        
                            /// @dev Require that the caller must be an EOA account to avoid flash loans.
                            modifier onlyEOA() {
                                require(msg.sender == tx.origin, "not eoa");
                                _;
                            }
                        
                            /// @dev Add more debt to the global debt pool.
                            modifier accrue(uint256 msgValue) {
                                if (now > lastAccrueTime) {
                                    uint256 interest = pendingInterest(msgValue);
                                    uint256 toReserve = interest.mul(config.getReservePoolBps()).div(10000);
                                    reservePool = reservePool.add(toReserve);
                                    glbDebtVal = glbDebtVal.add(interest);
                                    lastAccrueTime = now;
                                }
                                _;
                            }
                        
                            constructor(BankConfig _config) public {
                                config = _config;
                                lastAccrueTime = now;
                            }
                        
                            /// @dev Return the pending interest that will be accrued in the next call.
                            /// @param msgValue Balance value to subtract off address(this).balance when called from payable functions.
                            function pendingInterest(uint256 msgValue) public view returns (uint256) {
                                if (now > lastAccrueTime) {
                                    uint256 timePast = now.sub(lastAccrueTime);
                                    uint256 balance = address(this).balance.sub(msgValue);
                                    uint256 ratePerSec = config.getInterestRate(glbDebtVal, balance);
                                    return ratePerSec.mul(glbDebtVal).mul(timePast).div(1e18);
                                } else {
                                    return 0;
                                }
                            }
                        
                            /// @dev Return the ETH debt value given the debt share. Be careful of unaccrued interests.
                            /// @param debtShare The debt share to be converted.
                            function debtShareToVal(uint256 debtShare) public view returns (uint256) {
                                if (glbDebtShare == 0) return debtShare; // When there's no share, 1 share = 1 val.
                                return debtShare.mul(glbDebtVal).div(glbDebtShare);
                            }
                        
                            /// @dev Return the debt share for the given debt value. Be careful of unaccrued interests.
                            /// @param debtVal The debt value to be converted.
                            function debtValToShare(uint256 debtVal) public view returns (uint256) {
                                if (glbDebtShare == 0) return debtVal; // When there's no share, 1 share = 1 val.
                                return debtVal.mul(glbDebtShare).div(glbDebtVal);
                            }
                        
                            /// @dev Return ETH value and debt of the given position. Be careful of unaccrued interests.
                            /// @param id The position ID to query.
                            function positionInfo(uint256 id) public view returns (uint256, uint256) {
                                Position storage pos = positions[id];
                                return (Goblin(pos.goblin).health(id), debtShareToVal(pos.debtShare));
                            }
                        
                            /// @dev Return the total ETH entitled to the token holders. Be careful of unaccrued interests.
                            function totalETH() public view returns (uint256) {
                                return address(this).balance.add(glbDebtVal).sub(reservePool);
                            }
                        
                            /// @dev Add more ETH to the bank. Hope to get some good returns.
                            function deposit() external payable accrue(msg.value) nonReentrant {
                                uint256 total = totalETH().sub(msg.value);
                                uint256 share = total == 0 ? msg.value : msg.value.mul(totalSupply()).div(total);
                                _mint(msg.sender, share);
                            }
                        
                            /// @dev Withdraw ETH from the bank by burning the share tokens.
                            function withdraw(uint256 share) external accrue(0) nonReentrant {
                                uint256 amount = share.mul(totalETH()).div(totalSupply());
                                _burn(msg.sender, share);
                                SafeToken.safeTransferETH(msg.sender, amount);
                            }
                        
                            /// @dev Create a new farming position to unlock your yield farming potential.
                            /// @param id The ID of the position to unlock the earning. Use ZERO for new position.
                            /// @param goblin The address of the authorized goblin to work for this position.
                            /// @param loan The amount of ETH to borrow from the pool.
                            /// @param maxReturn The max amount of ETH to return to the pool.
                            /// @param data The calldata to pass along to the goblin for more working context.
                            function work(uint256 id, address goblin, uint256 loan, uint256 maxReturn, bytes calldata data)
                                external payable
                                onlyEOA accrue(msg.value) nonReentrant
                            {
                                // 1. Sanity check the input position, or add a new position of ID is 0.
                                if (id == 0) {
                                    id = nextPositionID++;
                                    positions[id].goblin = goblin;
                                    positions[id].owner = msg.sender;
                                } else {
                                    require(id < nextPositionID, "bad position id");
                                    require(positions[id].goblin == goblin, "bad position goblin");
                                    require(positions[id].owner == msg.sender, "not position owner");
                                }
                                emit Work(id, loan);
                                // 2. Make sure the goblin can accept more debt and remove the existing debt.
                                require(config.isGoblin(goblin), "not a goblin");
                                require(loan == 0 || config.acceptDebt(goblin), "goblin not accept more debt");
                                uint256 debt = _removeDebt(id).add(loan);
                                // 3. Perform the actual work, using a new scope to avoid stack-too-deep errors.
                                uint256 back;
                                {
                                    uint256 sendETH = msg.value.add(loan);
                                    require(sendETH <= address(this).balance, "insufficient ETH in the bank");
                                    uint256 beforeETH = address(this).balance.sub(sendETH);
                                    Goblin(goblin).work.value(sendETH)(id, msg.sender, debt, data);
                                    back = address(this).balance.sub(beforeETH);
                                }
                                // 4. Check and update position debt.
                                uint256 lessDebt = Math.min(debt, Math.min(back, maxReturn));
                                debt = debt.sub(lessDebt);
                                if (debt > 0) {
                                    require(debt >= config.minDebtSize(), "too small debt size");
                                    uint256 health = Goblin(goblin).health(id);
                                    uint256 workFactor = config.workFactor(goblin, debt);
                                    require(health.mul(workFactor) >= debt.mul(10000), "bad work factor");
                                    _addDebt(id, debt);
                                }
                                // 5. Return excess ETH back.
                                if (back > lessDebt) SafeToken.safeTransferETH(msg.sender, back - lessDebt);
                            }
                        
                            /// @dev Kill the given to the position. Liquidate it immediately if killFactor condition is met.
                            /// @param id The position ID to be killed.
                            function kill(uint256 id) external onlyEOA accrue(0) nonReentrant {
                                // 1. Verify that the position is eligible for liquidation.
                                Position storage pos = positions[id];
                                require(pos.debtShare > 0, "no debt");
                                uint256 debt = _removeDebt(id);
                                uint256 health = Goblin(pos.goblin).health(id);
                                uint256 killFactor = config.killFactor(pos.goblin, debt);
                                require(health.mul(killFactor) < debt.mul(10000), "can't liquidate");
                                // 2. Perform liquidation and compute the amount of ETH received.
                                uint256 beforeETH = address(this).balance;
                                Goblin(pos.goblin).liquidate(id);
                                uint256 back = address(this).balance.sub(beforeETH);
                                uint256 prize = back.mul(config.getKillBps()).div(10000);
                                uint256 rest = back.sub(prize);
                                // 3. Clear position debt and return funds to liquidator and position owner.
                                if (prize > 0) SafeToken.safeTransferETH(msg.sender, prize);
                                uint256 left = rest > debt ? rest - debt : 0;
                                if (left > 0) SafeToken.safeTransferETH(pos.owner, left);
                                emit Kill(id, msg.sender, prize, left);
                            }
                        
                            /// @dev Internal function to add the given debt value to the given position.
                            function _addDebt(uint256 id, uint256 debtVal) internal {
                                Position storage pos = positions[id];
                                uint256 debtShare = debtValToShare(debtVal);
                                pos.debtShare = pos.debtShare.add(debtShare);
                                glbDebtShare = glbDebtShare.add(debtShare);
                                glbDebtVal = glbDebtVal.add(debtVal);
                                emit AddDebt(id, debtShare);
                            }
                        
                            /// @dev Internal function to clear the debt of the given position. Return the debt value.
                            function _removeDebt(uint256 id) internal returns (uint256) {
                                Position storage pos = positions[id];
                                uint256 debtShare = pos.debtShare;
                                if (debtShare > 0) {
                                    uint256 debtVal = debtShareToVal(debtShare);
                                    pos.debtShare = 0;
                                    glbDebtShare = glbDebtShare.sub(debtShare);
                                    glbDebtVal = glbDebtVal.sub(debtVal);
                                    emit RemoveDebt(id, debtShare);
                                    return debtVal;
                                } else {
                                    return 0;
                                }
                            }
                        
                            /// @dev Update bank configuration to a new address. Must only be called by owner.
                            /// @param _config The new configurator address.
                            function updateConfig(BankConfig _config) external onlyOwner {
                                config = _config;
                            }
                        
                            /// @dev Withdraw ETH reserve for underwater positions to the given address.
                            /// @param to The address to transfer ETH to.
                            /// @param value The number of ETH tokens to withdraw. Must not exceed `reservePool`.
                            function withdrawReserve(address to, uint256 value) external onlyOwner nonReentrant {
                                reservePool = reservePool.sub(value);
                                SafeToken.safeTransferETH(to, value);
                            }
                        
                            /// @dev Reduce ETH reserve, effectively giving them to the depositors.
                            /// @param value The number of ETH reserve to reduce.
                            function reduceReserve(uint256 value) external onlyOwner {
                                reservePool = reservePool.sub(value);
                            }
                        
                            /// @dev Recover ERC20 tokens that were accidentally sent to this smart contract.
                            /// @param token The token contract. Can be anything. This contract should not hold ERC20 tokens.
                            /// @param to The address to send the tokens to.
                            /// @param value The number of tokens to transfer to `to`.
                            function recover(address token, address to, uint256 value) external onlyOwner nonReentrant {
                                token.safeTransfer(to, value);
                            }
                        
                            /// @dev Fallback function to accept ETH. Goblins will send ETH back the pool.
                            function() external payable {}
                        }

                        File 8 of 15: ChiToken
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                         ╚═════╝╚═╝  ╚═╝╚═╝     ╚═════╝ ╚═╝  ╚═╝╚══════╝   ╚═╝    ╚═════╝ ╚═╝  ╚═╝╚══════╝╚═╝  ╚═══╝    ╚═════╝    ╚═╝        ╚═╝╚═╝╚═╝  ╚═══╝ ╚═════╝╚═╝  ╚═╝
                        
                                                                                     Copyright by 1inch Corporation
                                                                                         https://1inch.exchange
                        
                        ---
                        Deployer wallet address:
                        0x7E1E3334130355799F833ffec2D731BCa3E68aF6
                        
                        Signed raw transaction for chainId 1:
                        0xf90d7f808506fc23ac00830bd0fa8080b90d2c608060405234801561001057600080fd5b50610d0c806100206000396000f3fe608060405234801561001057600080fd5b506004361061010b5760003560e01c806370a08231116100a2578063a9059cbb11610071578063a9059cbb14610305578063b0ac19a014610331578063d89135cd1461036a578063d8ccd0f314610372578063dd62ed3e1461038f5761010b565b806370a08231146102b057806395d89b41146102d6578063a0712d68146102de578063a2309ff8146102fd5761010b565b806323b872dd116100de57806323b872dd14610213578063313ce567146102495780635f2e2b45146102675780636366b936146102935761010b565b806306fdde0314610110578063079d229f1461018d578063095ea7b3146101cb57806318160ddd1461020b575b600080fd5b6101186103bd565b6040805160208082528351818301528351919283929083019185019080838360005b8381101561015257818101518382015260200161013a565b50505050905090810190601f16801561017f5780820380516001836020036101000a031916815260200191505b509250505060405180910390f35b6101b9600480360360408110156101a357600080fd5b506001600160a01b0381351690602001356103ee565b60408051918252519081900360200190f35b6101f7600480360360408110156101e157600080fd5b506001600160a01b03813516906020013561041f565b604080519115158252519081900360200190f35b6101b9610435565b6101f76004803603606081101561022957600080fd5b506001600160a01b03813581169160208101359091169060400135610453565b6102516104c2565b6040805160ff9092168252519081900360200190f35b6101b96004803603604081101561027d57600080fd5b506001600160a01b0381351690602001356104c7565b6101b9600480360360208110156102a957600080fd5b50356104e2565b6101b9600480360360208110156102c657600080fd5b50356001600160a01b03166104ff565b61011861051a565b6102fb600480360360208110156102f457600080fd5b5035610539565b005b6101b961070d565b6101f76004803603604081101561031b57600080fd5b506001600160a01b038135169060200135610713565b61034e6004803603602081101561034757600080fd5b5035610720565b604080516001600160a01b039092168252519081900360200190f35b6101b961078b565b6101b96004803603602081101561038857600080fd5b5035610791565b6101b9600480360360408110156103a557600080fd5b506001600160a01b03813581169160200135166107aa565b60405180604001604052806015815260200174086d0d2408ec2e6e8ded6cadc40c4f24062d2dcc6d605b1b81525081565b60006104188361041361040985610404886104ff565b6107d5565b61040487336107aa565b6104c7565b9392505050565b600061042c3384846107eb565b50600192915050565b600061044e60035460025461084d90919063ffffffff16565b905090565b600061046084848461088f565b6104b884336104b385604051806060016040528060288152602001610c8b602891396001600160a01b038a166000908152600160209081526040808320338452909152902054919063ffffffff61096116565b6107eb565b5060019392505050565b600081565b60006104d383836109f8565b6104dc82610a59565b50919050565b60006104f96104f483610404336104ff565b610791565b92915050565b6001600160a01b031660009081526020819052604090205490565b6040518060400160405280600381526020016243484960e81b81525081565b6002547f746d4946c0e9f43f4dee607b0ef1fa1c3318585733ff6000526015600bf30000600052602082045b80156106d85781601e600080f55060018201601e600080f55060028201601e600080f55060038201601e600080f55060048201601e600080f55060058201601e600080f55060068201601e600080f55060078201601e600080f55060088201601e600080f55060098201601e600080f550600a8201601e600080f550600b8201601e600080f550600c8201601e600080f550600d8201601e600080f550600e8201601e600080f550600f8201601e600080f55060108201601e600080f55060118201601e600080f55060128201601e600080f55060138201601e600080f55060148201601e600080f55060158201601e600080f55060168201601e600080f55060178201601e600080f55060188201601e600080f55060198201601e600080f550601a8201601e600080f550601b8201601e600080f550601c8201601e600080f550601d8201601e600080f550601e8201601e600080f550601f8201601e600080f5506020919091019060001901610565565b50601f82165b80156106fc5781601e600080f55060019190910190600019016106de565b506107073383610ad1565b60025550565b60025481565b600061042c33848461088f565b604080516001600160f81b03196020808301919091523060601b602183015260358201939093527f3c1644c68e5d6cb380c36d1bf847fdbc0c7ac28030025a2fc5e63cce23c16348605580830191909152825180830390910181526075909101909152805191012090565b60035481565b600061079d3383610b50565b6107a682610a59565b5090565b6001600160a01b03918216600090815260016020908152604080832093909416825291909152205490565b60008183106107e45781610418565b5090919050565b6001600160a01b03808416600081815260016020908152604080832094871680845294825291829020859055815185815291517f8c5be1e5ebec7d5bd14f71427d1e84f3dd0314c0f7b2291e5b200ac8c7c3b9259281900390910190a3505050565b600061041883836040518060400160405280601e81526020017f536166654d6174683a207375627472616374696f6e206f766572666c6f770000815250610961565b6108d281604051806060016040528060268152602001610c65602691396001600160a01b038616600090815260208190526040902054919063ffffffff61096116565b6001600160a01b038085166000908152602081905260408082209390935590841681522054610907908263ffffffff610be816565b6001600160a01b038084166000818152602081815260409182902094909455805185815290519193928716927fddf252ad1be2c89b69c2b068fc378daa952ba7f163c4a11628f55a4df523b3ef92918290030190a3505050565b600081848411156109f05760405162461bcd60e51b81526004018080602001828103825283818151815260200191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                        ---
                        */
                        // File: @openzeppelin/contracts/math/Math.sol
                        
                        pragma solidity ^0.6.0;
                        
                        /**
                         * @dev Standard math utilities missing in the Solidity language.
                         */
                        library Math {
                            /**
                             * @dev Returns the largest of two numbers.
                             */
                            function max(uint256 a, uint256 b) internal pure returns (uint256) {
                                return a >= b ? a : b;
                            }
                        
                            /**
                             * @dev Returns the smallest of two numbers.
                             */
                            function min(uint256 a, uint256 b) internal pure returns (uint256) {
                                return a < b ? a : b;
                            }
                        
                            /**
                             * @dev Returns the average of two numbers. The result is rounded towards
                             * zero.
                             */
                            function average(uint256 a, uint256 b) internal pure returns (uint256) {
                                // (a + b) / 2 can overflow, so we distribute
                                return (a / 2) + (b / 2) + ((a % 2 + b % 2) / 2);
                            }
                        }
                        
                        // File: @openzeppelin/contracts/math/SafeMath.sol
                        
                        pragma solidity ^0.6.0;
                        
                        /**
                         * @dev Wrappers over Solidity's arithmetic operations with added overflow
                         * checks.
                         *
                         * Arithmetic operations in Solidity wrap on overflow. This can easily result
                         * in bugs, because programmers usually assume that an overflow raises an
                         * error, which is the standard behavior in high level programming languages.
                         * `SafeMath` restores this intuition by reverting the transaction when an
                         * operation overflows.
                         *
                         * Using this library instead of the unchecked operations eliminates an entire
                         * class of bugs, so it's recommended to use it always.
                         */
                        library SafeMath {
                            /**
                             * @dev Returns the addition of two unsigned integers, reverting on
                             * overflow.
                             *
                             * Counterpart to Solidity's `+` operator.
                             *
                             * Requirements:
                             * - Addition cannot overflow.
                             */
                            function add(uint256 a, uint256 b) internal pure returns (uint256) {
                                uint256 c = a + b;
                                require(c >= a, "SafeMath: addition overflow");
                        
                                return c;
                            }
                        
                            /**
                             * @dev Returns the subtraction of two unsigned integers, reverting on
                             * overflow (when the result is negative).
                             *
                             * Counterpart to Solidity's `-` operator.
                             *
                             * Requirements:
                             * - Subtraction cannot overflow.
                             */
                            function sub(uint256 a, uint256 b) internal pure returns (uint256) {
                                return sub(a, b, "SafeMath: subtraction overflow");
                            }
                        
                            /**
                             * @dev Returns the subtraction of two unsigned integers, reverting with custom message on
                             * overflow (when the result is negative).
                             *
                             * Counterpart to Solidity's `-` operator.
                             *
                             * Requirements:
                             * - Subtraction cannot overflow.
                             */
                            function sub(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
                                require(b <= a, errorMessage);
                                uint256 c = a - b;
                        
                                return c;
                            }
                        
                            /**
                             * @dev Returns the multiplication of two unsigned integers, reverting on
                             * overflow.
                             *
                             * Counterpart to Solidity's `*` operator.
                             *
                             * Requirements:
                             * - Multiplication cannot overflow.
                             */
                            function mul(uint256 a, uint256 b) internal pure returns (uint256) {
                                // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
                                // benefit is lost if 'b' is also tested.
                                // See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522
                                if (a == 0) {
                                    return 0;
                                }
                        
                                uint256 c = a * b;
                                require(c / a == b, "SafeMath: multiplication overflow");
                        
                                return c;
                            }
                        
                            /**
                             * @dev Returns the integer division of two unsigned integers. Reverts on
                             * division by zero. The result is rounded towards zero.
                             *
                             * Counterpart to Solidity's `/` operator. Note: this function uses a
                             * `revert` opcode (which leaves remaining gas untouched) while Solidity
                             * uses an invalid opcode to revert (consuming all remaining gas).
                             *
                             * Requirements:
                             * - The divisor cannot be zero.
                             */
                            function div(uint256 a, uint256 b) internal pure returns (uint256) {
                                return div(a, b, "SafeMath: division by zero");
                            }
                        
                            /**
                             * @dev Returns the integer division of two unsigned integers. Reverts with custom message on
                             * division by zero. The result is rounded towards zero.
                             *
                             * Counterpart to Solidity's `/` operator. Note: this function uses a
                             * `revert` opcode (which leaves remaining gas untouched) while Solidity
                             * uses an invalid opcode to revert (consuming all remaining gas).
                             *
                             * Requirements:
                             * - The divisor cannot be zero.
                             */
                            function div(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
                                // Solidity only automatically asserts when dividing by 0
                                require(b > 0, errorMessage);
                                uint256 c = a / b;
                                // assert(a == b * c + a % b); // There is no case in which this doesn't hold
                        
                                return c;
                            }
                        
                            /**
                             * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
                             * Reverts when dividing by zero.
                             *
                             * Counterpart to Solidity's `%` operator. This function uses a `revert`
                             * opcode (which leaves remaining gas untouched) while Solidity uses an
                             * invalid opcode to revert (consuming all remaining gas).
                             *
                             * Requirements:
                             * - The divisor cannot be zero.
                             */
                            function mod(uint256 a, uint256 b) internal pure returns (uint256) {
                                return mod(a, b, "SafeMath: modulo by zero");
                            }
                        
                            /**
                             * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
                             * Reverts with custom message when dividing by zero.
                             *
                             * Counterpart to Solidity's `%` operator. This function uses a `revert`
                             * opcode (which leaves remaining gas untouched) while Solidity uses an
                             * invalid opcode to revert (consuming all remaining gas).
                             *
                             * Requirements:
                             * - The divisor cannot be zero.
                             */
                            function mod(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
                                require(b != 0, errorMessage);
                                return a % b;
                            }
                        }
                        
                        // File: @openzeppelin/contracts/token/ERC20/IERC20.sol
                        
                        pragma solidity ^0.6.0;
                        
                        /**
                         * @dev Interface of the ERC20 standard as defined in the EIP.
                         */
                        interface IERC20 {
                            /**
                             * @dev Returns the amount of tokens in existence.
                             */
                            function totalSupply() external view returns (uint256);
                        
                            /**
                             * @dev Returns the amount of tokens owned by `account`.
                             */
                            function balanceOf(address account) external view returns (uint256);
                        
                            /**
                             * @dev Moves `amount` tokens from the caller's account to `recipient`.
                             *
                             * Returns a boolean value indicating whether the operation succeeded.
                             *
                             * Emits a {Transfer} event.
                             */
                            function transfer(address recipient, uint256 amount) external returns (bool);
                        
                            /**
                             * @dev Returns the remaining number of tokens that `spender` will be
                             * allowed to spend on behalf of `owner` through {transferFrom}. This is
                             * zero by default.
                             *
                             * This value changes when {approve} or {transferFrom} are called.
                             */
                            function allowance(address owner, address spender) external view returns (uint256);
                        
                            /**
                             * @dev Sets `amount` as the allowance of `spender` over the caller's tokens.
                             *
                             * Returns a boolean value indicating whether the operation succeeded.
                             *
                             * IMPORTANT: Beware that changing an allowance with this method brings the risk
                             * that someone may use both the old and the new allowance by unfortunate
                             * transaction ordering. One possible solution to mitigate this race
                             * condition is to first reduce the spender's allowance to 0 and set the
                             * desired value afterwards:
                             * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
                             *
                             * Emits an {Approval} event.
                             */
                            function approve(address spender, uint256 amount) external returns (bool);
                        
                            /**
                             * @dev Moves `amount` tokens from `sender` to `recipient` using the
                             * allowance mechanism. `amount` is then deducted from the caller's
                             * allowance.
                             *
                             * Returns a boolean value indicating whether the operation succeeded.
                             *
                             * Emits a {Transfer} event.
                             */
                            function transferFrom(address sender, address recipient, uint256 amount) external returns (bool);
                        
                            /**
                             * @dev Emitted when `value` tokens are moved from one account (`from`) to
                             * another (`to`).
                             *
                             * Note that `value` may be zero.
                             */
                            event Transfer(address indexed from, address indexed to, uint256 value);
                        
                            /**
                             * @dev Emitted when the allowance of a `spender` for an `owner` is set by
                             * a call to {approve}. `value` is the new allowance.
                             */
                            event Approval(address indexed owner, address indexed spender, uint256 value);
                        }
                        
                        // File: contracts/ChiToken.sol
                        
                        pragma solidity ^0.6.0;
                        
                        
                        
                        
                        
                        abstract contract ERC20WithoutTotalSupply is IERC20 {
                            using SafeMath for uint256;
                        
                            mapping(address => uint256) private _balances;
                            mapping(address => mapping(address => uint256)) private _allowances;
                        
                            function balanceOf(address account) public view override returns (uint256) {
                                return _balances[account];
                            }
                        
                            function allowance(address owner, address spender) public view override returns (uint256) {
                                return _allowances[owner][spender];
                            }
                        
                            function transfer(address recipient, uint256 amount) public override returns (bool) {
                                _transfer(msg.sender, recipient, amount);
                                return true;
                            }
                        
                            function approve(address spender, uint256 amount) public override returns (bool) {
                                _approve(msg.sender, spender, amount);
                                return true;
                            }
                        
                            function transferFrom(address sender, address recipient, uint256 amount) public override returns (bool) {
                                _transfer(sender, recipient, amount);
                                _approve(sender, msg.sender, _allowances[sender][msg.sender].sub(amount, "ERC20: transfer amount exceeds allowance"));
                                return true;
                            }
                        
                            function _transfer(address sender, address recipient, uint256 amount) internal {
                                _balances[sender] = _balances[sender].sub(amount, "ERC20: transfer amount exceeds balance");
                                _balances[recipient] = _balances[recipient].add(amount);
                                emit Transfer(sender, recipient, amount);
                            }
                        
                            function _approve(address owner, address spender, uint256 amount) internal {
                                _allowances[owner][spender] = amount;
                                emit Approval(owner, spender, amount);
                            }
                        
                            function _mint(address account, uint256 amount) internal {
                                _balances[account] = _balances[account].add(amount);
                                emit Transfer(address(0), account, amount);
                            }
                        
                            function _burn(address account, uint256 amount) internal {
                                _balances[account] = _balances[account].sub(amount, "ERC20: burn amount exceeds balance");
                                emit Transfer(account, address(0), amount);
                            }
                        
                            function _burnFrom(address account, uint256 amount) internal {
                                _burn(account, amount);
                                _approve(account, msg.sender, _allowances[account][msg.sender].sub(amount, "ERC20: burn amount exceeds allowance"));
                            }
                        }
                        
                        
                        contract ChiToken is IERC20, ERC20WithoutTotalSupply {
                            string constant public name = "Chi Gastoken by 1inch";
                            string constant public symbol = "CHI";
                            uint8 constant public decimals = 0;
                        
                            uint256 public totalMinted;
                            uint256 public totalBurned;
                        
                            function totalSupply() public view override returns(uint256) {
                                return totalMinted.sub(totalBurned);
                            }
                        
                            function mint(uint256 value) public {
                                uint256 offset = totalMinted;
                                assembly {
                                    mstore(0, 0x746d4946c0e9F43F4Dee607b0eF1fA1c3318585733ff6000526015600bf30000)
                        
                                    for {let i := div(value, 32)} i {i := sub(i, 1)} {
                                        pop(create2(0, 0, 30, add(offset, 0))) pop(create2(0, 0, 30, add(offset, 1)))
                                        pop(create2(0, 0, 30, add(offset, 2))) pop(create2(0, 0, 30, add(offset, 3)))
                                        pop(create2(0, 0, 30, add(offset, 4))) pop(create2(0, 0, 30, add(offset, 5)))
                                        pop(create2(0, 0, 30, add(offset, 6))) pop(create2(0, 0, 30, add(offset, 7)))
                                        pop(create2(0, 0, 30, add(offset, 8))) pop(create2(0, 0, 30, add(offset, 9)))
                                        pop(create2(0, 0, 30, add(offset, 10))) pop(create2(0, 0, 30, add(offset, 11)))
                                        pop(create2(0, 0, 30, add(offset, 12))) pop(create2(0, 0, 30, add(offset, 13)))
                                        pop(create2(0, 0, 30, add(offset, 14))) pop(create2(0, 0, 30, add(offset, 15)))
                                        pop(create2(0, 0, 30, add(offset, 16))) pop(create2(0, 0, 30, add(offset, 17)))
                                        pop(create2(0, 0, 30, add(offset, 18))) pop(create2(0, 0, 30, add(offset, 19)))
                                        pop(create2(0, 0, 30, add(offset, 20))) pop(create2(0, 0, 30, add(offset, 21)))
                                        pop(create2(0, 0, 30, add(offset, 22))) pop(create2(0, 0, 30, add(offset, 23)))
                                        pop(create2(0, 0, 30, add(offset, 24))) pop(create2(0, 0, 30, add(offset, 25)))
                                        pop(create2(0, 0, 30, add(offset, 26))) pop(create2(0, 0, 30, add(offset, 27)))
                                        pop(create2(0, 0, 30, add(offset, 28))) pop(create2(0, 0, 30, add(offset, 29)))
                                        pop(create2(0, 0, 30, add(offset, 30))) pop(create2(0, 0, 30, add(offset, 31)))
                                        offset := add(offset, 32)
                                    }
                        
                                    for {let i := and(value, 0x1F)} i {i := sub(i, 1)} {
                                        pop(create2(0, 0, 30, offset))
                                        offset := add(offset, 1)
                                    }
                                }
                        
                                _mint(msg.sender, value);
                                totalMinted = offset;
                            }
                        
                            function computeAddress2(uint256 salt) public view returns (address) {
                                bytes32 _data = keccak256(
                                    abi.encodePacked(bytes1(0xff), address(this), salt, bytes32(0x3c1644c68e5d6cb380c36d1bf847fdbc0c7ac28030025a2fc5e63cce23c16348))
                                );
                                return address(uint256(_data));
                            }
                        
                            function _destroyChildren(uint256 value) internal {
                                uint256 _totalBurned = totalBurned;
                                for (uint256 i = 0; i < value; i++) {
                                    computeAddress2(_totalBurned + i).call("");
                                }
                                totalBurned = _totalBurned + value;
                            }
                        
                            function free(uint256 value) public returns (uint256)  {
                                _burn(msg.sender, value);
                                _destroyChildren(value);
                                return value;
                            }
                        
                            function freeUpTo(uint256 value) public returns (uint256) {
                                return free(Math.min(value, balanceOf(msg.sender)));
                            }
                        
                            function freeFrom(address from, uint256 value) public returns (uint256) {
                                _burnFrom(from, value);
                                _destroyChildren(value);
                                return value;
                            }
                        
                            function freeFromUpTo(address from, uint256 value) public returns (uint256) {
                                return freeFrom(from, Math.min(Math.min(value, balanceOf(from)), allowance(from, msg.sender)));
                            }
                        }

                        File 9 of 15: OperationImpl
                        /*
                        
                            Copyright 2019 dYdX Trading Inc.
                        
                            Licensed under the Apache License, Version 2.0 (the "License");
                            you may not use this file except in compliance with the License.
                            You may obtain a copy of the License at
                        
                            http://www.apache.org/licenses/LICENSE-2.0
                        
                            Unless required by applicable law or agreed to in writing, software
                            distributed under the License is distributed on an "AS IS" BASIS,
                            WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                            See the License for the specific language governing permissions and
                            limitations under the License.
                        
                        */
                        
                        pragma solidity 0.5.7;
                        pragma experimental ABIEncoderV2;
                        
                        // File: openzeppelin-solidity/contracts/math/SafeMath.sol
                        
                        /**
                         * @title SafeMath
                         * @dev Unsigned math operations with safety checks that revert on error
                         */
                        library SafeMath {
                            /**
                            * @dev Multiplies two unsigned integers, reverts on overflow.
                            */
                            function mul(uint256 a, uint256 b) internal pure returns (uint256) {
                                // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
                                // benefit is lost if 'b' is also tested.
                                // See: https://github.com/OpenZeppelin/openzeppelin-solidity/pull/522
                                if (a == 0) {
                                    return 0;
                                }
                        
                                uint256 c = a * b;
                                require(c / a == b);
                        
                                return c;
                            }
                        
                            /**
                            * @dev Integer division of two unsigned integers truncating the quotient, reverts on division by zero.
                            */
                            function div(uint256 a, uint256 b) internal pure returns (uint256) {
                                // Solidity only automatically asserts when dividing by 0
                                require(b > 0);
                                uint256 c = a / b;
                                // assert(a == b * c + a % b); // There is no case in which this doesn't hold
                        
                                return c;
                            }
                        
                            /**
                            * @dev Subtracts two unsigned integers, reverts on overflow (i.e. if subtrahend is greater than minuend).
                            */
                            function sub(uint256 a, uint256 b) internal pure returns (uint256) {
                                require(b <= a);
                                uint256 c = a - b;
                        
                                return c;
                            }
                        
                            /**
                            * @dev Adds two unsigned integers, reverts on overflow.
                            */
                            function add(uint256 a, uint256 b) internal pure returns (uint256) {
                                uint256 c = a + b;
                                require(c >= a);
                        
                                return c;
                            }
                        
                            /**
                            * @dev Divides two unsigned integers and returns the remainder (unsigned integer modulo),
                            * reverts when dividing by zero.
                            */
                            function mod(uint256 a, uint256 b) internal pure returns (uint256) {
                                require(b != 0);
                                return a % b;
                            }
                        }
                        
                        // File: contracts/protocol/lib/Require.sol
                        
                        /**
                         * @title Require
                         * @author dYdX
                         *
                         * Stringifies parameters to pretty-print revert messages. Costs more gas than regular require()
                         */
                        library Require {
                        
                            // ============ Constants ============
                        
                            uint256 constant ASCII_ZERO = 48; // '0'
                            uint256 constant ASCII_RELATIVE_ZERO = 87; // 'a' - 10
                            uint256 constant ASCII_LOWER_EX = 120; // 'x'
                            bytes2 constant COLON = 0x3a20; // ': '
                            bytes2 constant COMMA = 0x2c20; // ', '
                            bytes2 constant LPAREN = 0x203c; // ' <'
                            byte constant RPAREN = 0x3e; // '>'
                            uint256 constant FOUR_BIT_MASK = 0xf;
                        
                            // ============ Library Functions ============
                        
                            function that(
                                bool must,
                                bytes32 file,
                                bytes32 reason
                            )
                                internal
                                pure
                            {
                                if (!must) {
                                    revert(
                                        string(
                                            abi.encodePacked(
                                                stringify(file),
                                                COLON,
                                                stringify(reason)
                                            )
                                        )
                                    );
                                }
                            }
                        
                            function that(
                                bool must,
                                bytes32 file,
                                bytes32 reason,
                                uint256 payloadA
                            )
                                internal
                                pure
                            {
                                if (!must) {
                                    revert(
                                        string(
                                            abi.encodePacked(
                                                stringify(file),
                                                COLON,
                                                stringify(reason),
                                                LPAREN,
                                                stringify(payloadA),
                                                RPAREN
                                            )
                                        )
                                    );
                                }
                            }
                        
                            function that(
                                bool must,
                                bytes32 file,
                                bytes32 reason,
                                uint256 payloadA,
                                uint256 payloadB
                            )
                                internal
                                pure
                            {
                                if (!must) {
                                    revert(
                                        string(
                                            abi.encodePacked(
                                                stringify(file),
                                                COLON,
                                                stringify(reason),
                                                LPAREN,
                                                stringify(payloadA),
                                                COMMA,
                                                stringify(payloadB),
                                                RPAREN
                                            )
                                        )
                                    );
                                }
                            }
                        
                            function that(
                                bool must,
                                bytes32 file,
                                bytes32 reason,
                                address payloadA
                            )
                                internal
                                pure
                            {
                                if (!must) {
                                    revert(
                                        string(
                                            abi.encodePacked(
                                                stringify(file),
                                                COLON,
                                                stringify(reason),
                                                LPAREN,
                                                stringify(payloadA),
                                                RPAREN
                                            )
                                        )
                                    );
                                }
                            }
                        
                            function that(
                                bool must,
                                bytes32 file,
                                bytes32 reason,
                                address payloadA,
                                uint256 payloadB
                            )
                                internal
                                pure
                            {
                                if (!must) {
                                    revert(
                                        string(
                                            abi.encodePacked(
                                                stringify(file),
                                                COLON,
                                                stringify(reason),
                                                LPAREN,
                                                stringify(payloadA),
                                                COMMA,
                                                stringify(payloadB),
                                                RPAREN
                                            )
                                        )
                                    );
                                }
                            }
                        
                            function that(
                                bool must,
                                bytes32 file,
                                bytes32 reason,
                                address payloadA,
                                uint256 payloadB,
                                uint256 payloadC
                            )
                                internal
                                pure
                            {
                                if (!must) {
                                    revert(
                                        string(
                                            abi.encodePacked(
                                                stringify(file),
                                                COLON,
                                                stringify(reason),
                                                LPAREN,
                                                stringify(payloadA),
                                                COMMA,
                                                stringify(payloadB),
                                                COMMA,
                                                stringify(payloadC),
                                                RPAREN
                                            )
                                        )
                                    );
                                }
                            }
                        
                            // ============ Private Functions ============
                        
                            function stringify(
                                bytes32 input
                            )
                                private
                                pure
                                returns (bytes memory)
                            {
                                // put the input bytes into the result
                                bytes memory result = abi.encodePacked(input);
                        
                                // determine the length of the input by finding the location of the last non-zero byte
                                for (uint256 i = 32; i > 0; ) {
                                    // reverse-for-loops with unsigned integer
                                    /* solium-disable-next-line security/no-modify-for-iter-var */
                                    i--;
                        
                                    // find the last non-zero byte in order to determine the length
                                    if (result[i] != 0) {
                                        uint256 length = i + 1;
                        
                                        /* solium-disable-next-line security/no-inline-assembly */
                                        assembly {
                                            mstore(result, length) // r.length = length;
                                        }
                        
                                        return result;
                                    }
                                }
                        
                                // all bytes are zero
                                return new bytes(0);
                            }
                        
                            function stringify(
                                uint256 input
                            )
                                private
                                pure
                                returns (bytes memory)
                            {
                                if (input == 0) {
                                    return "0";
                                }
                        
                                // get the final string length
                                uint256 j = input;
                                uint256 length;
                                while (j != 0) {
                                    length++;
                                    j /= 10;
                                }
                        
                                // allocate the string
                                bytes memory bstr = new bytes(length);
                        
                                // populate the string starting with the least-significant character
                                j = input;
                                for (uint256 i = length; i > 0; ) {
                                    // reverse-for-loops with unsigned integer
                                    /* solium-disable-next-line security/no-modify-for-iter-var */
                                    i--;
                        
                                    // take last decimal digit
                                    bstr[i] = byte(uint8(ASCII_ZERO + (j % 10)));
                        
                                    // remove the last decimal digit
                                    j /= 10;
                                }
                        
                                return bstr;
                            }
                        
                            function stringify(
                                address input
                            )
                                private
                                pure
                                returns (bytes memory)
                            {
                                uint256 z = uint256(input);
                        
                                // addresses are "0x" followed by 20 bytes of data which take up 2 characters each
                                bytes memory result = new bytes(42);
                        
                                // populate the result with "0x"
                                result[0] = byte(uint8(ASCII_ZERO));
                                result[1] = byte(uint8(ASCII_LOWER_EX));
                        
                                // for each byte (starting from the lowest byte), populate the result with two characters
                                for (uint256 i = 0; i < 20; i++) {
                                    // each byte takes two characters
                                    uint256 shift = i * 2;
                        
                                    // populate the least-significant character
                                    result[41 - shift] = char(z & FOUR_BIT_MASK);
                                    z = z >> 4;
                        
                                    // populate the most-significant character
                                    result[40 - shift] = char(z & FOUR_BIT_MASK);
                                    z = z >> 4;
                                }
                        
                                return result;
                            }
                        
                            function char(
                                uint256 input
                            )
                                private
                                pure
                                returns (byte)
                            {
                                // return ASCII digit (0-9)
                                if (input < 10) {
                                    return byte(uint8(input + ASCII_ZERO));
                                }
                        
                                // return ASCII letter (a-f)
                                return byte(uint8(input + ASCII_RELATIVE_ZERO));
                            }
                        }
                        
                        // File: contracts/protocol/lib/Math.sol
                        
                        /**
                         * @title Math
                         * @author dYdX
                         *
                         * Library for non-standard Math functions
                         */
                        library Math {
                            using SafeMath for uint256;
                        
                            // ============ Constants ============
                        
                            bytes32 constant FILE = "Math";
                        
                            // ============ Library Functions ============
                        
                            /*
                             * Return target * (numerator / denominator).
                             */
                            function getPartial(
                                uint256 target,
                                uint256 numerator,
                                uint256 denominator
                            )
                                internal
                                pure
                                returns (uint256)
                            {
                                return target.mul(numerator).div(denominator);
                            }
                        
                            /*
                             * Return target * (numerator / denominator), but rounded up.
                             */
                            function getPartialRoundUp(
                                uint256 target,
                                uint256 numerator,
                                uint256 denominator
                            )
                                internal
                                pure
                                returns (uint256)
                            {
                                if (target == 0 || numerator == 0) {
                                    // SafeMath will check for zero denominator
                                    return SafeMath.div(0, denominator);
                                }
                                return target.mul(numerator).sub(1).div(denominator).add(1);
                            }
                        
                            function to128(
                                uint256 number
                            )
                                internal
                                pure
                                returns (uint128)
                            {
                                uint128 result = uint128(number);
                                Require.that(
                                    result == number,
                                    FILE,
                                    "Unsafe cast to uint128"
                                );
                                return result;
                            }
                        
                            function to96(
                                uint256 number
                            )
                                internal
                                pure
                                returns (uint96)
                            {
                                uint96 result = uint96(number);
                                Require.that(
                                    result == number,
                                    FILE,
                                    "Unsafe cast to uint96"
                                );
                                return result;
                            }
                        
                            function to32(
                                uint256 number
                            )
                                internal
                                pure
                                returns (uint32)
                            {
                                uint32 result = uint32(number);
                                Require.that(
                                    result == number,
                                    FILE,
                                    "Unsafe cast to uint32"
                                );
                                return result;
                            }
                        
                            function min(
                                uint256 a,
                                uint256 b
                            )
                                internal
                                pure
                                returns (uint256)
                            {
                                return a < b ? a : b;
                            }
                        
                            function max(
                                uint256 a,
                                uint256 b
                            )
                                internal
                                pure
                                returns (uint256)
                            {
                                return a > b ? a : b;
                            }
                        }
                        
                        // File: contracts/protocol/lib/Types.sol
                        
                        /**
                         * @title Types
                         * @author dYdX
                         *
                         * Library for interacting with the basic structs used in Solo
                         */
                        library Types {
                            using Math for uint256;
                        
                            // ============ AssetAmount ============
                        
                            enum AssetDenomination {
                                Wei, // the amount is denominated in wei
                                Par  // the amount is denominated in par
                            }
                        
                            enum AssetReference {
                                Delta, // the amount is given as a delta from the current value
                                Target // the amount is given as an exact number to end up at
                            }
                        
                            struct AssetAmount {
                                bool sign; // true if positive
                                AssetDenomination denomination;
                                AssetReference ref;
                                uint256 value;
                            }
                        
                            // ============ Par (Principal Amount) ============
                        
                            // Total borrow and supply values for a market
                            struct TotalPar {
                                uint128 borrow;
                                uint128 supply;
                            }
                        
                            // Individual principal amount for an account
                            struct Par {
                                bool sign; // true if positive
                                uint128 value;
                            }
                        
                            function zeroPar()
                                internal
                                pure
                                returns (Par memory)
                            {
                                return Par({
                                    sign: false,
                                    value: 0
                                });
                            }
                        
                            function sub(
                                Par memory a,
                                Par memory b
                            )
                                internal
                                pure
                                returns (Par memory)
                            {
                                return add(a, negative(b));
                            }
                        
                            function add(
                                Par memory a,
                                Par memory b
                            )
                                internal
                                pure
                                returns (Par memory)
                            {
                                Par memory result;
                                if (a.sign == b.sign) {
                                    result.sign = a.sign;
                                    result.value = SafeMath.add(a.value, b.value).to128();
                                } else {
                                    if (a.value >= b.value) {
                                        result.sign = a.sign;
                                        result.value = SafeMath.sub(a.value, b.value).to128();
                                    } else {
                                        result.sign = b.sign;
                                        result.value = SafeMath.sub(b.value, a.value).to128();
                                    }
                                }
                                return result;
                            }
                        
                            function equals(
                                Par memory a,
                                Par memory b
                            )
                                internal
                                pure
                                returns (bool)
                            {
                                if (a.value == b.value) {
                                    if (a.value == 0) {
                                        return true;
                                    }
                                    return a.sign == b.sign;
                                }
                                return false;
                            }
                        
                            function negative(
                                Par memory a
                            )
                                internal
                                pure
                                returns (Par memory)
                            {
                                return Par({
                                    sign: !a.sign,
                                    value: a.value
                                });
                            }
                        
                            function isNegative(
                                Par memory a
                            )
                                internal
                                pure
                                returns (bool)
                            {
                                return !a.sign && a.value > 0;
                            }
                        
                            function isPositive(
                                Par memory a
                            )
                                internal
                                pure
                                returns (bool)
                            {
                                return a.sign && a.value > 0;
                            }
                        
                            function isZero(
                                Par memory a
                            )
                                internal
                                pure
                                returns (bool)
                            {
                                return a.value == 0;
                            }
                        
                            // ============ Wei (Token Amount) ============
                        
                            // Individual token amount for an account
                            struct Wei {
                                bool sign; // true if positive
                                uint256 value;
                            }
                        
                            function zeroWei()
                                internal
                                pure
                                returns (Wei memory)
                            {
                                return Wei({
                                    sign: false,
                                    value: 0
                                });
                            }
                        
                            function sub(
                                Wei memory a,
                                Wei memory b
                            )
                                internal
                                pure
                                returns (Wei memory)
                            {
                                return add(a, negative(b));
                            }
                        
                            function add(
                                Wei memory a,
                                Wei memory b
                            )
                                internal
                                pure
                                returns (Wei memory)
                            {
                                Wei memory result;
                                if (a.sign == b.sign) {
                                    result.sign = a.sign;
                                    result.value = SafeMath.add(a.value, b.value);
                                } else {
                                    if (a.value >= b.value) {
                                        result.sign = a.sign;
                                        result.value = SafeMath.sub(a.value, b.value);
                                    } else {
                                        result.sign = b.sign;
                                        result.value = SafeMath.sub(b.value, a.value);
                                    }
                                }
                                return result;
                            }
                        
                            function equals(
                                Wei memory a,
                                Wei memory b
                            )
                                internal
                                pure
                                returns (bool)
                            {
                                if (a.value == b.value) {
                                    if (a.value == 0) {
                                        return true;
                                    }
                                    return a.sign == b.sign;
                                }
                                return false;
                            }
                        
                            function negative(
                                Wei memory a
                            )
                                internal
                                pure
                                returns (Wei memory)
                            {
                                return Wei({
                                    sign: !a.sign,
                                    value: a.value
                                });
                            }
                        
                            function isNegative(
                                Wei memory a
                            )
                                internal
                                pure
                                returns (bool)
                            {
                                return !a.sign && a.value > 0;
                            }
                        
                            function isPositive(
                                Wei memory a
                            )
                                internal
                                pure
                                returns (bool)
                            {
                                return a.sign && a.value > 0;
                            }
                        
                            function isZero(
                                Wei memory a
                            )
                                internal
                                pure
                                returns (bool)
                            {
                                return a.value == 0;
                            }
                        }
                        
                        // File: contracts/protocol/lib/Account.sol
                        
                        /**
                         * @title Account
                         * @author dYdX
                         *
                         * Library of structs and functions that represent an account
                         */
                        library Account {
                            // ============ Enums ============
                        
                            /*
                             * Most-recently-cached account status.
                             *
                             * Normal: Can only be liquidated if the account values are violating the global margin-ratio.
                             * Liquid: Can be liquidated no matter the account values.
                             *         Can be vaporized if there are no more positive account values.
                             * Vapor:  Has only negative (or zeroed) account values. Can be vaporized.
                             *
                             */
                            enum Status {
                                Normal,
                                Liquid,
                                Vapor
                            }
                        
                            // ============ Structs ============
                        
                            // Represents the unique key that specifies an account
                            struct Info {
                                address owner;  // The address that owns the account
                                uint256 number; // A nonce that allows a single address to control many accounts
                            }
                        
                            // The complete storage for any account
                            struct Storage {
                                mapping (uint256 => Types.Par) balances; // Mapping from marketId to principal
                                Status status;
                            }
                        
                            // ============ Library Functions ============
                        
                            function equals(
                                Info memory a,
                                Info memory b
                            )
                                internal
                                pure
                                returns (bool)
                            {
                                return a.owner == b.owner && a.number == b.number;
                            }
                        }
                        
                        // File: contracts/protocol/interfaces/IAutoTrader.sol
                        
                        /**
                         * @title IAutoTrader
                         * @author dYdX
                         *
                         * Interface that Auto-Traders for Solo must implement in order to approve trades.
                         */
                        contract IAutoTrader {
                        
                            // ============ Public Functions ============
                        
                            /**
                             * Allows traders to make trades approved by this smart contract. The active trader's account is
                             * the takerAccount and the passive account (for which this contract approves trades
                             * on-behalf-of) is the makerAccount.
                             *
                             * @param  inputMarketId   The market for which the trader specified the original amount
                             * @param  outputMarketId  The market for which the trader wants the resulting amount specified
                             * @param  makerAccount    The account for which this contract is making trades
                             * @param  takerAccount    The account requesting the trade
                             * @param  oldInputPar     The old principal amount for the makerAccount for the inputMarketId
                             * @param  newInputPar     The new principal amount for the makerAccount for the inputMarketId
                             * @param  inputWei        The change in token amount for the makerAccount for the inputMarketId
                             * @param  data            Arbitrary data passed in by the trader
                             * @return                 The AssetAmount for the makerAccount for the outputMarketId
                             */
                            function getTradeCost(
                                uint256 inputMarketId,
                                uint256 outputMarketId,
                                Account.Info memory makerAccount,
                                Account.Info memory takerAccount,
                                Types.Par memory oldInputPar,
                                Types.Par memory newInputPar,
                                Types.Wei memory inputWei,
                                bytes memory data
                            )
                                public
                                returns (Types.AssetAmount memory);
                        }
                        
                        // File: contracts/protocol/interfaces/ICallee.sol
                        
                        /**
                         * @title ICallee
                         * @author dYdX
                         *
                         * Interface that Callees for Solo must implement in order to ingest data.
                         */
                        contract ICallee {
                        
                            // ============ Public Functions ============
                        
                            /**
                             * Allows users to send this contract arbitrary data.
                             *
                             * @param  sender       The msg.sender to Solo
                             * @param  accountInfo  The account from which the data is being sent
                             * @param  data         Arbitrary data given by the sender
                             */
                            function callFunction(
                                address sender,
                                Account.Info memory accountInfo,
                                bytes memory data
                            )
                                public;
                        }
                        
                        // File: contracts/protocol/lib/Actions.sol
                        
                        /**
                         * @title Actions
                         * @author dYdX
                         *
                         * Library that defines and parses valid Actions
                         */
                        library Actions {
                        
                            // ============ Constants ============
                        
                            bytes32 constant FILE = "Actions";
                        
                            // ============ Enums ============
                        
                            enum ActionType {
                                Deposit,   // supply tokens
                                Withdraw,  // borrow tokens
                                Transfer,  // transfer balance between accounts
                                Buy,       // buy an amount of some token (externally)
                                Sell,      // sell an amount of some token (externally)
                                Trade,     // trade tokens against another account
                                Liquidate, // liquidate an undercollateralized or expiring account
                                Vaporize,  // use excess tokens to zero-out a completely negative account
                                Call       // send arbitrary data to an address
                            }
                        
                            enum AccountLayout {
                                OnePrimary,
                                TwoPrimary,
                                PrimaryAndSecondary
                            }
                        
                            enum MarketLayout {
                                ZeroMarkets,
                                OneMarket,
                                TwoMarkets
                            }
                        
                            // ============ Structs ============
                        
                            /*
                             * Arguments that are passed to Solo in an ordered list as part of a single operation.
                             * Each ActionArgs has an actionType which specifies which action struct that this data will be
                             * parsed into before being processed.
                             */
                            struct ActionArgs {
                                ActionType actionType;
                                uint256 accountId;
                                Types.AssetAmount amount;
                                uint256 primaryMarketId;
                                uint256 secondaryMarketId;
                                address otherAddress;
                                uint256 otherAccountId;
                                bytes data;
                            }
                        
                            // ============ Action Types ============
                        
                            /*
                             * Moves tokens from an address to Solo. Can either repay a borrow or provide additional supply.
                             */
                            struct DepositArgs {
                                Types.AssetAmount amount;
                                Account.Info account;
                                uint256 market;
                                address from;
                            }
                        
                            /*
                             * Moves tokens from Solo to another address. Can either borrow tokens or reduce the amount
                             * previously supplied.
                             */
                            struct WithdrawArgs {
                                Types.AssetAmount amount;
                                Account.Info account;
                                uint256 market;
                                address to;
                            }
                        
                            /*
                             * Transfers balance between two accounts. The msg.sender must be an operator for both accounts.
                             * The amount field applies to accountOne.
                             * This action does not require any token movement since the trade is done internally to Solo.
                             */
                            struct TransferArgs {
                                Types.AssetAmount amount;
                                Account.Info accountOne;
                                Account.Info accountTwo;
                                uint256 market;
                            }
                        
                            /*
                             * Acquires a certain amount of tokens by spending other tokens. Sends takerMarket tokens to the
                             * specified exchangeWrapper contract and expects makerMarket tokens in return. The amount field
                             * applies to the makerMarket.
                             */
                            struct BuyArgs {
                                Types.AssetAmount amount;
                                Account.Info account;
                                uint256 makerMarket;
                                uint256 takerMarket;
                                address exchangeWrapper;
                                bytes orderData;
                            }
                        
                            /*
                             * Spends a certain amount of tokens to acquire other tokens. Sends takerMarket tokens to the
                             * specified exchangeWrapper and expects makerMarket tokens in return. The amount field applies
                             * to the takerMarket.
                             */
                            struct SellArgs {
                                Types.AssetAmount amount;
                                Account.Info account;
                                uint256 takerMarket;
                                uint256 makerMarket;
                                address exchangeWrapper;
                                bytes orderData;
                            }
                        
                            /*
                             * Trades balances between two accounts using any external contract that implements the
                             * AutoTrader interface. The AutoTrader contract must be an operator for the makerAccount (for
                             * which it is trading on-behalf-of). The amount field applies to the makerAccount and the
                             * inputMarket. This proposed change to the makerAccount is passed to the AutoTrader which will
                             * quote a change for the makerAccount in the outputMarket (or will disallow the trade).
                             * This action does not require any token movement since the trade is done internally to Solo.
                             */
                            struct TradeArgs {
                                Types.AssetAmount amount;
                                Account.Info takerAccount;
                                Account.Info makerAccount;
                                uint256 inputMarket;
                                uint256 outputMarket;
                                address autoTrader;
                                bytes tradeData;
                            }
                        
                            /*
                             * Each account must maintain a certain margin-ratio (specified globally). If the account falls
                             * below this margin-ratio, it can be liquidated by any other account. This allows anyone else
                             * (arbitrageurs) to repay any borrowed asset (owedMarket) of the liquidating account in
                             * exchange for any collateral asset (heldMarket) of the liquidAccount. The ratio is determined
                             * by the price ratio (given by the oracles) plus a spread (specified globally). Liquidating an
                             * account also sets a flag on the account that the account is being liquidated. This allows
                             * anyone to continue liquidating the account until there are no more borrows being taken by the
                             * liquidating account. Liquidators do not have to liquidate the entire account all at once but
                             * can liquidate as much as they choose. The liquidating flag allows liquidators to continue
                             * liquidating the account even if it becomes collateralized through partial liquidation or
                             * price movement.
                             */
                            struct LiquidateArgs {
                                Types.AssetAmount amount;
                                Account.Info solidAccount;
                                Account.Info liquidAccount;
                                uint256 owedMarket;
                                uint256 heldMarket;
                            }
                        
                            /*
                             * Similar to liquidate, but vaporAccounts are accounts that have only negative balances
                             * remaining. The arbitrageur pays back the negative asset (owedMarket) of the vaporAccount in
                             * exchange for a collateral asset (heldMarket) at a favorable spread. However, since the
                             * liquidAccount has no collateral assets, the collateral must come from Solo's excess tokens.
                             */
                            struct VaporizeArgs {
                                Types.AssetAmount amount;
                                Account.Info solidAccount;
                                Account.Info vaporAccount;
                                uint256 owedMarket;
                                uint256 heldMarket;
                            }
                        
                            /*
                             * Passes arbitrary bytes of data to an external contract that implements the Callee interface.
                             * Does not change any asset amounts. This function may be useful for setting certain variables
                             * on layer-two contracts for certain accounts without having to make a separate Ethereum
                             * transaction for doing so. Also, the second-layer contracts can ensure that the call is coming
                             * from an operator of the particular account.
                             */
                            struct CallArgs {
                                Account.Info account;
                                address callee;
                                bytes data;
                            }
                        
                            // ============ Helper Functions ============
                        
                            function getMarketLayout(
                                ActionType actionType
                            )
                                internal
                                pure
                                returns (MarketLayout)
                            {
                                if (
                                    actionType == Actions.ActionType.Deposit
                                    || actionType == Actions.ActionType.Withdraw
                                    || actionType == Actions.ActionType.Transfer
                                ) {
                                    return MarketLayout.OneMarket;
                                }
                                else if (actionType == Actions.ActionType.Call) {
                                    return MarketLayout.ZeroMarkets;
                                }
                                return MarketLayout.TwoMarkets;
                            }
                        
                            function getAccountLayout(
                                ActionType actionType
                            )
                                internal
                                pure
                                returns (AccountLayout)
                            {
                                if (
                                    actionType == Actions.ActionType.Transfer
                                    || actionType == Actions.ActionType.Trade
                                ) {
                                    return AccountLayout.TwoPrimary;
                                } else if (
                                    actionType == Actions.ActionType.Liquidate
                                    || actionType == Actions.ActionType.Vaporize
                                ) {
                                    return AccountLayout.PrimaryAndSecondary;
                                }
                                return AccountLayout.OnePrimary;
                            }
                        
                            // ============ Parsing Functions ============
                        
                            function parseDepositArgs(
                                Account.Info[] memory accounts,
                                ActionArgs memory args
                            )
                                internal
                                pure
                                returns (DepositArgs memory)
                            {
                                assert(args.actionType == ActionType.Deposit);
                                return DepositArgs({
                                    amount: args.amount,
                                    account: accounts[args.accountId],
                                    market: args.primaryMarketId,
                                    from: args.otherAddress
                                });
                            }
                        
                            function parseWithdrawArgs(
                                Account.Info[] memory accounts,
                                ActionArgs memory args
                            )
                                internal
                                pure
                                returns (WithdrawArgs memory)
                            {
                                assert(args.actionType == ActionType.Withdraw);
                                return WithdrawArgs({
                                    amount: args.amount,
                                    account: accounts[args.accountId],
                                    market: args.primaryMarketId,
                                    to: args.otherAddress
                                });
                            }
                        
                            function parseTransferArgs(
                                Account.Info[] memory accounts,
                                ActionArgs memory args
                            )
                                internal
                                pure
                                returns (TransferArgs memory)
                            {
                                assert(args.actionType == ActionType.Transfer);
                                return TransferArgs({
                                    amount: args.amount,
                                    accountOne: accounts[args.accountId],
                                    accountTwo: accounts[args.otherAccountId],
                                    market: args.primaryMarketId
                                });
                            }
                        
                            function parseBuyArgs(
                                Account.Info[] memory accounts,
                                ActionArgs memory args
                            )
                                internal
                                pure
                                returns (BuyArgs memory)
                            {
                                assert(args.actionType == ActionType.Buy);
                                return BuyArgs({
                                    amount: args.amount,
                                    account: accounts[args.accountId],
                                    makerMarket: args.primaryMarketId,
                                    takerMarket: args.secondaryMarketId,
                                    exchangeWrapper: args.otherAddress,
                                    orderData: args.data
                                });
                            }
                        
                            function parseSellArgs(
                                Account.Info[] memory accounts,
                                ActionArgs memory args
                            )
                                internal
                                pure
                                returns (SellArgs memory)
                            {
                                assert(args.actionType == ActionType.Sell);
                                return SellArgs({
                                    amount: args.amount,
                                    account: accounts[args.accountId],
                                    takerMarket: args.primaryMarketId,
                                    makerMarket: args.secondaryMarketId,
                                    exchangeWrapper: args.otherAddress,
                                    orderData: args.data
                                });
                            }
                        
                            function parseTradeArgs(
                                Account.Info[] memory accounts,
                                ActionArgs memory args
                            )
                                internal
                                pure
                                returns (TradeArgs memory)
                            {
                                assert(args.actionType == ActionType.Trade);
                                return TradeArgs({
                                    amount: args.amount,
                                    takerAccount: accounts[args.accountId],
                                    makerAccount: accounts[args.otherAccountId],
                                    inputMarket: args.primaryMarketId,
                                    outputMarket: args.secondaryMarketId,
                                    autoTrader: args.otherAddress,
                                    tradeData: args.data
                                });
                            }
                        
                            function parseLiquidateArgs(
                                Account.Info[] memory accounts,
                                ActionArgs memory args
                            )
                                internal
                                pure
                                returns (LiquidateArgs memory)
                            {
                                assert(args.actionType == ActionType.Liquidate);
                                return LiquidateArgs({
                                    amount: args.amount,
                                    solidAccount: accounts[args.accountId],
                                    liquidAccount: accounts[args.otherAccountId],
                                    owedMarket: args.primaryMarketId,
                                    heldMarket: args.secondaryMarketId
                                });
                            }
                        
                            function parseVaporizeArgs(
                                Account.Info[] memory accounts,
                                ActionArgs memory args
                            )
                                internal
                                pure
                                returns (VaporizeArgs memory)
                            {
                                assert(args.actionType == ActionType.Vaporize);
                                return VaporizeArgs({
                                    amount: args.amount,
                                    solidAccount: accounts[args.accountId],
                                    vaporAccount: accounts[args.otherAccountId],
                                    owedMarket: args.primaryMarketId,
                                    heldMarket: args.secondaryMarketId
                                });
                            }
                        
                            function parseCallArgs(
                                Account.Info[] memory accounts,
                                ActionArgs memory args
                            )
                                internal
                                pure
                                returns (CallArgs memory)
                            {
                                assert(args.actionType == ActionType.Call);
                                return CallArgs({
                                    account: accounts[args.accountId],
                                    callee: args.otherAddress,
                                    data: args.data
                                });
                            }
                        }
                        
                        // File: contracts/protocol/lib/Monetary.sol
                        
                        /**
                         * @title Monetary
                         * @author dYdX
                         *
                         * Library for types involving money
                         */
                        library Monetary {
                        
                            /*
                             * The price of a base-unit of an asset.
                             */
                            struct Price {
                                uint256 value;
                            }
                        
                            /*
                             * Total value of an some amount of an asset. Equal to (price * amount).
                             */
                            struct Value {
                                uint256 value;
                            }
                        }
                        
                        // File: contracts/protocol/lib/Cache.sol
                        
                        /**
                         * @title Cache
                         * @author dYdX
                         *
                         * Library for caching information about markets
                         */
                        library Cache {
                            using Cache for MarketCache;
                            using Storage for Storage.State;
                        
                            // ============ Structs ============
                        
                            struct MarketInfo {
                                bool isClosing;
                                uint128 borrowPar;
                                Monetary.Price price;
                            }
                        
                            struct MarketCache {
                                MarketInfo[] markets;
                            }
                        
                            // ============ Setter Functions ============
                        
                            /**
                             * Initialize an empty cache for some given number of total markets.
                             */
                            function create(
                                uint256 numMarkets
                            )
                                internal
                                pure
                                returns (MarketCache memory)
                            {
                                return MarketCache({
                                    markets: new MarketInfo[](numMarkets)
                                });
                            }
                        
                            /**
                             * Add market information (price and total borrowed par if the market is closing) to the cache.
                             * Return true if the market information did not previously exist in the cache.
                             */
                            function addMarket(
                                MarketCache memory cache,
                                Storage.State storage state,
                                uint256 marketId
                            )
                                internal
                                view
                                returns (bool)
                            {
                                if (cache.hasMarket(marketId)) {
                                    return false;
                                }
                                cache.markets[marketId].price = state.fetchPrice(marketId);
                                if (state.markets[marketId].isClosing) {
                                    cache.markets[marketId].isClosing = true;
                                    cache.markets[marketId].borrowPar = state.getTotalPar(marketId).borrow;
                                }
                                return true;
                            }
                        
                            // ============ Getter Functions ============
                        
                            function getNumMarkets(
                                MarketCache memory cache
                            )
                                internal
                                pure
                                returns (uint256)
                            {
                                return cache.markets.length;
                            }
                        
                            function hasMarket(
                                MarketCache memory cache,
                                uint256 marketId
                            )
                                internal
                                pure
                                returns (bool)
                            {
                                return cache.markets[marketId].price.value != 0;
                            }
                        
                            function getIsClosing(
                                MarketCache memory cache,
                                uint256 marketId
                            )
                                internal
                                pure
                                returns (bool)
                            {
                                return cache.markets[marketId].isClosing;
                            }
                        
                            function getPrice(
                                MarketCache memory cache,
                                uint256 marketId
                            )
                                internal
                                pure
                                returns (Monetary.Price memory)
                            {
                                return cache.markets[marketId].price;
                            }
                        
                            function getBorrowPar(
                                MarketCache memory cache,
                                uint256 marketId
                            )
                                internal
                                pure
                                returns (uint128)
                            {
                                return cache.markets[marketId].borrowPar;
                            }
                        }
                        
                        // File: contracts/protocol/lib/Decimal.sol
                        
                        /**
                         * @title Decimal
                         * @author dYdX
                         *
                         * Library that defines a fixed-point number with 18 decimal places.
                         */
                        library Decimal {
                            using SafeMath for uint256;
                        
                            // ============ Constants ============
                        
                            uint256 constant BASE = 10**18;
                        
                            // ============ Structs ============
                        
                            struct D256 {
                                uint256 value;
                            }
                        
                            // ============ Functions ============
                        
                            function one()
                                internal
                                pure
                                returns (D256 memory)
                            {
                                return D256({ value: BASE });
                            }
                        
                            function onePlus(
                                D256 memory d
                            )
                                internal
                                pure
                                returns (D256 memory)
                            {
                                return D256({ value: d.value.add(BASE) });
                            }
                        
                            function mul(
                                uint256 target,
                                D256 memory d
                            )
                                internal
                                pure
                                returns (uint256)
                            {
                                return Math.getPartial(target, d.value, BASE);
                            }
                        
                            function div(
                                uint256 target,
                                D256 memory d
                            )
                                internal
                                pure
                                returns (uint256)
                            {
                                return Math.getPartial(target, BASE, d.value);
                            }
                        }
                        
                        // File: contracts/protocol/lib/Time.sol
                        
                        /**
                         * @title Time
                         * @author dYdX
                         *
                         * Library for dealing with time, assuming timestamps fit within 32 bits (valid until year 2106)
                         */
                        library Time {
                        
                            // ============ Library Functions ============
                        
                            function currentTime()
                                internal
                                view
                                returns (uint32)
                            {
                                return Math.to32(block.timestamp);
                            }
                        }
                        
                        // File: contracts/protocol/lib/Interest.sol
                        
                        /**
                         * @title Interest
                         * @author dYdX
                         *
                         * Library for managing the interest rate and interest indexes of Solo
                         */
                        library Interest {
                            using Math for uint256;
                            using SafeMath for uint256;
                        
                            // ============ Constants ============
                        
                            bytes32 constant FILE = "Interest";
                            uint64 constant BASE = 10**18;
                        
                            // ============ Structs ============
                        
                            struct Rate {
                                uint256 value;
                            }
                        
                            struct Index {
                                uint96 borrow;
                                uint96 supply;
                                uint32 lastUpdate;
                            }
                        
                            // ============ Library Functions ============
                        
                            /**
                             * Get a new market Index based on the old index and market interest rate.
                             * Calculate interest for borrowers by using the formula rate * time. Approximates
                             * continuously-compounded interest when called frequently, but is much more
                             * gas-efficient to calculate. For suppliers, the interest rate is adjusted by the earningsRate,
                             * then prorated the across all suppliers.
                             *
                             * @param  index         The old index for a market
                             * @param  rate          The current interest rate of the market
                             * @param  totalPar      The total supply and borrow par values of the market
                             * @param  earningsRate  The portion of the interest that is forwarded to the suppliers
                             * @return               The updated index for a market
                             */
                            function calculateNewIndex(
                                Index memory index,
                                Rate memory rate,
                                Types.TotalPar memory totalPar,
                                Decimal.D256 memory earningsRate
                            )
                                internal
                                view
                                returns (Index memory)
                            {
                                (
                                    Types.Wei memory supplyWei,
                                    Types.Wei memory borrowWei
                                ) = totalParToWei(totalPar, index);
                        
                                // get interest increase for borrowers
                                uint32 currentTime = Time.currentTime();
                                uint256 borrowInterest = rate.value.mul(uint256(currentTime).sub(index.lastUpdate));
                        
                                // get interest increase for suppliers
                                uint256 supplyInterest;
                                if (Types.isZero(supplyWei)) {
                                    supplyInterest = 0;
                                } else {
                                    supplyInterest = Decimal.mul(borrowInterest, earningsRate);
                                    if (borrowWei.value < supplyWei.value) {
                                        supplyInterest = Math.getPartial(supplyInterest, borrowWei.value, supplyWei.value);
                                    }
                                }
                                assert(supplyInterest <= borrowInterest);
                        
                                return Index({
                                    borrow: Math.getPartial(index.borrow, borrowInterest, BASE).add(index.borrow).to96(),
                                    supply: Math.getPartial(index.supply, supplyInterest, BASE).add(index.supply).to96(),
                                    lastUpdate: currentTime
                                });
                            }
                        
                            function newIndex()
                                internal
                                view
                                returns (Index memory)
                            {
                                return Index({
                                    borrow: BASE,
                                    supply: BASE,
                                    lastUpdate: Time.currentTime()
                                });
                            }
                        
                            /*
                             * Convert a principal amount to a token amount given an index.
                             */
                            function parToWei(
                                Types.Par memory input,
                                Index memory index
                            )
                                internal
                                pure
                                returns (Types.Wei memory)
                            {
                                uint256 inputValue = uint256(input.value);
                                if (input.sign) {
                                    return Types.Wei({
                                        sign: true,
                                        value: inputValue.getPartial(index.supply, BASE)
                                    });
                                } else {
                                    return Types.Wei({
                                        sign: false,
                                        value: inputValue.getPartialRoundUp(index.borrow, BASE)
                                    });
                                }
                            }
                        
                            /*
                             * Convert a token amount to a principal amount given an index.
                             */
                            function weiToPar(
                                Types.Wei memory input,
                                Index memory index
                            )
                                internal
                                pure
                                returns (Types.Par memory)
                            {
                                if (input.sign) {
                                    return Types.Par({
                                        sign: true,
                                        value: input.value.getPartial(BASE, index.supply).to128()
                                    });
                                } else {
                                    return Types.Par({
                                        sign: false,
                                        value: input.value.getPartialRoundUp(BASE, index.borrow).to128()
                                    });
                                }
                            }
                        
                            /*
                             * Convert the total supply and borrow principal amounts of a market to total supply and borrow
                             * token amounts.
                             */
                            function totalParToWei(
                                Types.TotalPar memory totalPar,
                                Index memory index
                            )
                                internal
                                pure
                                returns (Types.Wei memory, Types.Wei memory)
                            {
                                Types.Par memory supplyPar = Types.Par({
                                    sign: true,
                                    value: totalPar.supply
                                });
                                Types.Par memory borrowPar = Types.Par({
                                    sign: false,
                                    value: totalPar.borrow
                                });
                                Types.Wei memory supplyWei = parToWei(supplyPar, index);
                                Types.Wei memory borrowWei = parToWei(borrowPar, index);
                                return (supplyWei, borrowWei);
                            }
                        }
                        
                        // File: contracts/protocol/interfaces/IErc20.sol
                        
                        /**
                         * @title IErc20
                         * @author dYdX
                         *
                         * Interface for using ERC20 Tokens. We have to use a special interface to call ERC20 functions so
                         * that we don't automatically revert when calling non-compliant tokens that have no return value for
                         * transfer(), transferFrom(), or approve().
                         */
                        interface IErc20 {
                            event Transfer(
                                address indexed from,
                                address indexed to,
                                uint256 value
                            );
                        
                            event Approval(
                                address indexed owner,
                                address indexed spender,
                                uint256 value
                            );
                        
                            function totalSupply(
                            )
                                external
                                view
                                returns (uint256);
                        
                            function balanceOf(
                                address who
                            )
                                external
                                view
                                returns (uint256);
                        
                            function allowance(
                                address owner,
                                address spender
                            )
                                external
                                view
                                returns (uint256);
                        
                            function transfer(
                                address to,
                                uint256 value
                            )
                                external;
                        
                            function transferFrom(
                                address from,
                                address to,
                                uint256 value
                            )
                                external;
                        
                            function approve(
                                address spender,
                                uint256 value
                            )
                                external;
                        
                            function name()
                                external
                                view
                                returns (string memory);
                        
                            function symbol()
                                external
                                view
                                returns (string memory);
                        
                            function decimals()
                                external
                                view
                                returns (uint8);
                        }
                        
                        // File: contracts/protocol/lib/Token.sol
                        
                        /**
                         * @title Token
                         * @author dYdX
                         *
                         * This library contains basic functions for interacting with ERC20 tokens. Modified to work with
                         * tokens that don't adhere strictly to the ERC20 standard (for example tokens that don't return a
                         * boolean value on success).
                         */
                        library Token {
                        
                            // ============ Constants ============
                        
                            bytes32 constant FILE = "Token";
                        
                            // ============ Library Functions ============
                        
                            function balanceOf(
                                address token,
                                address owner
                            )
                                internal
                                view
                                returns (uint256)
                            {
                                return IErc20(token).balanceOf(owner);
                            }
                        
                            function allowance(
                                address token,
                                address owner,
                                address spender
                            )
                                internal
                                view
                                returns (uint256)
                            {
                                return IErc20(token).allowance(owner, spender);
                            }
                        
                            function approve(
                                address token,
                                address spender,
                                uint256 amount
                            )
                                internal
                            {
                                IErc20(token).approve(spender, amount);
                        
                                Require.that(
                                    checkSuccess(),
                                    FILE,
                                    "Approve failed"
                                );
                            }
                        
                            function approveMax(
                                address token,
                                address spender
                            )
                                internal
                            {
                                approve(
                                    token,
                                    spender,
                                    uint256(-1)
                                );
                            }
                        
                            function transfer(
                                address token,
                                address to,
                                uint256 amount
                            )
                                internal
                            {
                                if (amount == 0 || to == address(this)) {
                                    return;
                                }
                        
                                IErc20(token).transfer(to, amount);
                        
                                Require.that(
                                    checkSuccess(),
                                    FILE,
                                    "Transfer failed"
                                );
                            }
                        
                            function transferFrom(
                                address token,
                                address from,
                                address to,
                                uint256 amount
                            )
                                internal
                            {
                                if (amount == 0 || to == from) {
                                    return;
                                }
                        
                                IErc20(token).transferFrom(from, to, amount);
                        
                                Require.that(
                                    checkSuccess(),
                                    FILE,
                                    "TransferFrom failed"
                                );
                            }
                        
                            // ============ Private Functions ============
                        
                            /**
                             * Check the return value of the previous function up to 32 bytes. Return true if the previous
                             * function returned 0 bytes or 32 bytes that are not all-zero.
                             */
                            function checkSuccess(
                            )
                                private
                                pure
                                returns (bool)
                            {
                                uint256 returnValue = 0;
                        
                                /* solium-disable-next-line security/no-inline-assembly */
                                assembly {
                                    // check number of bytes returned from last function call
                                    switch returndatasize
                        
                                    // no bytes returned: assume success
                                    case 0x0 {
                                        returnValue := 1
                                    }
                        
                                    // 32 bytes returned: check if non-zero
                                    case 0x20 {
                                        // copy 32 bytes into scratch space
                                        returndatacopy(0x0, 0x0, 0x20)
                        
                                        // load those bytes into returnValue
                                        returnValue := mload(0x0)
                                    }
                        
                                    // not sure what was returned: don't mark as success
                                    default { }
                                }
                        
                                return returnValue != 0;
                            }
                        }
                        
                        // File: contracts/protocol/interfaces/IInterestSetter.sol
                        
                        /**
                         * @title IInterestSetter
                         * @author dYdX
                         *
                         * Interface that Interest Setters for Solo must implement in order to report interest rates.
                         */
                        interface IInterestSetter {
                        
                            // ============ Public Functions ============
                        
                            /**
                             * Get the interest rate of a token given some borrowed and supplied amounts
                             *
                             * @param  token        The address of the ERC20 token for the market
                             * @param  borrowWei    The total borrowed token amount for the market
                             * @param  supplyWei    The total supplied token amount for the market
                             * @return              The interest rate per second
                             */
                            function getInterestRate(
                                address token,
                                uint256 borrowWei,
                                uint256 supplyWei
                            )
                                external
                                view
                                returns (Interest.Rate memory);
                        }
                        
                        // File: contracts/protocol/interfaces/IPriceOracle.sol
                        
                        /**
                         * @title IPriceOracle
                         * @author dYdX
                         *
                         * Interface that Price Oracles for Solo must implement in order to report prices.
                         */
                        contract IPriceOracle {
                        
                            // ============ Constants ============
                        
                            uint256 public constant ONE_DOLLAR = 10 ** 36;
                        
                            // ============ Public Functions ============
                        
                            /**
                             * Get the price of a token
                             *
                             * @param  token  The ERC20 token address of the market
                             * @return        The USD price of a base unit of the token, then multiplied by 10^36.
                             *                So a USD-stable coin with 18 decimal places would return 10^18.
                             *                This is the price of the base unit rather than the price of a "human-readable"
                             *                token amount. Every ERC20 may have a different number of decimals.
                             */
                            function getPrice(
                                address token
                            )
                                public
                                view
                                returns (Monetary.Price memory);
                        }
                        
                        // File: contracts/protocol/lib/Storage.sol
                        
                        /**
                         * @title Storage
                         * @author dYdX
                         *
                         * Functions for reading, writing, and verifying state in Solo
                         */
                        library Storage {
                            using Cache for Cache.MarketCache;
                            using Storage for Storage.State;
                            using Math for uint256;
                            using Types for Types.Par;
                            using Types for Types.Wei;
                            using SafeMath for uint256;
                        
                            // ============ Constants ============
                        
                            bytes32 constant FILE = "Storage";
                        
                            // ============ Structs ============
                        
                            // All information necessary for tracking a market
                            struct Market {
                                // Contract address of the associated ERC20 token
                                address token;
                        
                                // Total aggregated supply and borrow amount of the entire market
                                Types.TotalPar totalPar;
                        
                                // Interest index of the market
                                Interest.Index index;
                        
                                // Contract address of the price oracle for this market
                                IPriceOracle priceOracle;
                        
                                // Contract address of the interest setter for this market
                                IInterestSetter interestSetter;
                        
                                // Multiplier on the marginRatio for this market
                                Decimal.D256 marginPremium;
                        
                                // Multiplier on the liquidationSpread for this market
                                Decimal.D256 spreadPremium;
                        
                                // Whether additional borrows are allowed for this market
                                bool isClosing;
                            }
                        
                            // The global risk parameters that govern the health and security of the system
                            struct RiskParams {
                                // Required ratio of over-collateralization
                                Decimal.D256 marginRatio;
                        
                                // Percentage penalty incurred by liquidated accounts
                                Decimal.D256 liquidationSpread;
                        
                                // Percentage of the borrower's interest fee that gets passed to the suppliers
                                Decimal.D256 earningsRate;
                        
                                // The minimum absolute borrow value of an account
                                // There must be sufficient incentivize to liquidate undercollateralized accounts
                                Monetary.Value minBorrowedValue;
                            }
                        
                            // The maximum RiskParam values that can be set
                            struct RiskLimits {
                                uint64 marginRatioMax;
                                uint64 liquidationSpreadMax;
                                uint64 earningsRateMax;
                                uint64 marginPremiumMax;
                                uint64 spreadPremiumMax;
                                uint128 minBorrowedValueMax;
                            }
                        
                            // The entire storage state of Solo
                            struct State {
                                // number of markets
                                uint256 numMarkets;
                        
                                // marketId => Market
                                mapping (uint256 => Market) markets;
                        
                                // owner => account number => Account
                                mapping (address => mapping (uint256 => Account.Storage)) accounts;
                        
                                // Addresses that can control other users accounts
                                mapping (address => mapping (address => bool)) operators;
                        
                                // Addresses that can control all users accounts
                                mapping (address => bool) globalOperators;
                        
                                // mutable risk parameters of the system
                                RiskParams riskParams;
                        
                                // immutable risk limits of the system
                                RiskLimits riskLimits;
                            }
                        
                            // ============ Functions ============
                        
                            function getToken(
                                Storage.State storage state,
                                uint256 marketId
                            )
                                internal
                                view
                                returns (address)
                            {
                                return state.markets[marketId].token;
                            }
                        
                            function getTotalPar(
                                Storage.State storage state,
                                uint256 marketId
                            )
                                internal
                                view
                                returns (Types.TotalPar memory)
                            {
                                return state.markets[marketId].totalPar;
                            }
                        
                            function getIndex(
                                Storage.State storage state,
                                uint256 marketId
                            )
                                internal
                                view
                                returns (Interest.Index memory)
                            {
                                return state.markets[marketId].index;
                            }
                        
                            function getNumExcessTokens(
                                Storage.State storage state,
                                uint256 marketId
                            )
                                internal
                                view
                                returns (Types.Wei memory)
                            {
                                Interest.Index memory index = state.getIndex(marketId);
                                Types.TotalPar memory totalPar = state.getTotalPar(marketId);
                        
                                address token = state.getToken(marketId);
                        
                                Types.Wei memory balanceWei = Types.Wei({
                                    sign: true,
                                    value: Token.balanceOf(token, address(this))
                                });
                        
                                (
                                    Types.Wei memory supplyWei,
                                    Types.Wei memory borrowWei
                                ) = Interest.totalParToWei(totalPar, index);
                        
                                // borrowWei is negative, so subtracting it makes the value more positive
                                return balanceWei.sub(borrowWei).sub(supplyWei);
                            }
                        
                            function getStatus(
                                Storage.State storage state,
                                Account.Info memory account
                            )
                                internal
                                view
                                returns (Account.Status)
                            {
                                return state.accounts[account.owner][account.number].status;
                            }
                        
                            function getPar(
                                Storage.State storage state,
                                Account.Info memory account,
                                uint256 marketId
                            )
                                internal
                                view
                                returns (Types.Par memory)
                            {
                                return state.accounts[account.owner][account.number].balances[marketId];
                            }
                        
                            function getWei(
                                Storage.State storage state,
                                Account.Info memory account,
                                uint256 marketId
                            )
                                internal
                                view
                                returns (Types.Wei memory)
                            {
                                Types.Par memory par = state.getPar(account, marketId);
                        
                                if (par.isZero()) {
                                    return Types.zeroWei();
                                }
                        
                                Interest.Index memory index = state.getIndex(marketId);
                                return Interest.parToWei(par, index);
                            }
                        
                            function getLiquidationSpreadForPair(
                                Storage.State storage state,
                                uint256 heldMarketId,
                                uint256 owedMarketId
                            )
                                internal
                                view
                                returns (Decimal.D256 memory)
                            {
                                uint256 result = state.riskParams.liquidationSpread.value;
                                result = Decimal.mul(result, Decimal.onePlus(state.markets[heldMarketId].spreadPremium));
                                result = Decimal.mul(result, Decimal.onePlus(state.markets[owedMarketId].spreadPremium));
                                return Decimal.D256({
                                    value: result
                                });
                            }
                        
                            function fetchNewIndex(
                                Storage.State storage state,
                                uint256 marketId,
                                Interest.Index memory index
                            )
                                internal
                                view
                                returns (Interest.Index memory)
                            {
                                Interest.Rate memory rate = state.fetchInterestRate(marketId, index);
                        
                                return Interest.calculateNewIndex(
                                    index,
                                    rate,
                                    state.getTotalPar(marketId),
                                    state.riskParams.earningsRate
                                );
                            }
                        
                            function fetchInterestRate(
                                Storage.State storage state,
                                uint256 marketId,
                                Interest.Index memory index
                            )
                                internal
                                view
                                returns (Interest.Rate memory)
                            {
                                Types.TotalPar memory totalPar = state.getTotalPar(marketId);
                                (
                                    Types.Wei memory supplyWei,
                                    Types.Wei memory borrowWei
                                ) = Interest.totalParToWei(totalPar, index);
                        
                                Interest.Rate memory rate = state.markets[marketId].interestSetter.getInterestRate(
                                    state.getToken(marketId),
                                    borrowWei.value,
                                    supplyWei.value
                                );
                        
                                return rate;
                            }
                        
                            function fetchPrice(
                                Storage.State storage state,
                                uint256 marketId
                            )
                                internal
                                view
                                returns (Monetary.Price memory)
                            {
                                IPriceOracle oracle = IPriceOracle(state.markets[marketId].priceOracle);
                                Monetary.Price memory price = oracle.getPrice(state.getToken(marketId));
                                Require.that(
                                    price.value != 0,
                                    FILE,
                                    "Price cannot be zero",
                                    marketId
                                );
                                return price;
                            }
                        
                            function getAccountValues(
                                Storage.State storage state,
                                Account.Info memory account,
                                Cache.MarketCache memory cache,
                                bool adjustForLiquidity
                            )
                                internal
                                view
                                returns (Monetary.Value memory, Monetary.Value memory)
                            {
                                Monetary.Value memory supplyValue;
                                Monetary.Value memory borrowValue;
                        
                                uint256 numMarkets = cache.getNumMarkets();
                                for (uint256 m = 0; m < numMarkets; m++) {
                                    if (!cache.hasMarket(m)) {
                                        continue;
                                    }
                        
                                    Types.Wei memory userWei = state.getWei(account, m);
                        
                                    if (userWei.isZero()) {
                                        continue;
                                    }
                        
                                    uint256 assetValue = userWei.value.mul(cache.getPrice(m).value);
                                    Decimal.D256 memory adjust = Decimal.one();
                                    if (adjustForLiquidity) {
                                        adjust = Decimal.onePlus(state.markets[m].marginPremium);
                                    }
                        
                                    if (userWei.sign) {
                                        supplyValue.value = supplyValue.value.add(Decimal.div(assetValue, adjust));
                                    } else {
                                        borrowValue.value = borrowValue.value.add(Decimal.mul(assetValue, adjust));
                                    }
                                }
                        
                                return (supplyValue, borrowValue);
                            }
                        
                            function isCollateralized(
                                Storage.State storage state,
                                Account.Info memory account,
                                Cache.MarketCache memory cache,
                                bool requireMinBorrow
                            )
                                internal
                                view
                                returns (bool)
                            {
                                // get account values (adjusted for liquidity)
                                (
                                    Monetary.Value memory supplyValue,
                                    Monetary.Value memory borrowValue
                                ) = state.getAccountValues(account, cache, /* adjustForLiquidity = */ true);
                        
                                if (borrowValue.value == 0) {
                                    return true;
                                }
                        
                                if (requireMinBorrow) {
                                    Require.that(
                                        borrowValue.value >= state.riskParams.minBorrowedValue.value,
                                        FILE,
                                        "Borrow value too low",
                                        account.owner,
                                        account.number,
                                        borrowValue.value
                                    );
                                }
                        
                                uint256 requiredMargin = Decimal.mul(borrowValue.value, state.riskParams.marginRatio);
                        
                                return supplyValue.value >= borrowValue.value.add(requiredMargin);
                            }
                        
                            function isGlobalOperator(
                                Storage.State storage state,
                                address operator
                            )
                                internal
                                view
                                returns (bool)
                            {
                                return state.globalOperators[operator];
                            }
                        
                            function isLocalOperator(
                                Storage.State storage state,
                                address owner,
                                address operator
                            )
                                internal
                                view
                                returns (bool)
                            {
                                return state.operators[owner][operator];
                            }
                        
                            function requireIsOperator(
                                Storage.State storage state,
                                Account.Info memory account,
                                address operator
                            )
                                internal
                                view
                            {
                                bool isValidOperator =
                                    operator == account.owner
                                    || state.isGlobalOperator(operator)
                                    || state.isLocalOperator(account.owner, operator);
                        
                                Require.that(
                                    isValidOperator,
                                    FILE,
                                    "Unpermissioned operator",
                                    operator
                                );
                            }
                        
                            /**
                             * Determine and set an account's balance based on the intended balance change. Return the
                             * equivalent amount in wei
                             */
                            function getNewParAndDeltaWei(
                                Storage.State storage state,
                                Account.Info memory account,
                                uint256 marketId,
                                Types.AssetAmount memory amount
                            )
                                internal
                                view
                                returns (Types.Par memory, Types.Wei memory)
                            {
                                Types.Par memory oldPar = state.getPar(account, marketId);
                        
                                if (amount.value == 0 && amount.ref == Types.AssetReference.Delta) {
                                    return (oldPar, Types.zeroWei());
                                }
                        
                                Interest.Index memory index = state.getIndex(marketId);
                                Types.Wei memory oldWei = Interest.parToWei(oldPar, index);
                                Types.Par memory newPar;
                                Types.Wei memory deltaWei;
                        
                                if (amount.denomination == Types.AssetDenomination.Wei) {
                                    deltaWei = Types.Wei({
                                        sign: amount.sign,
                                        value: amount.value
                                    });
                                    if (amount.ref == Types.AssetReference.Target) {
                                        deltaWei = deltaWei.sub(oldWei);
                                    }
                                    newPar = Interest.weiToPar(oldWei.add(deltaWei), index);
                                } else { // AssetDenomination.Par
                                    newPar = Types.Par({
                                        sign: amount.sign,
                                        value: amount.value.to128()
                                    });
                                    if (amount.ref == Types.AssetReference.Delta) {
                                        newPar = oldPar.add(newPar);
                                    }
                                    deltaWei = Interest.parToWei(newPar, index).sub(oldWei);
                                }
                        
                                return (newPar, deltaWei);
                            }
                        
                            function getNewParAndDeltaWeiForLiquidation(
                                Storage.State storage state,
                                Account.Info memory account,
                                uint256 marketId,
                                Types.AssetAmount memory amount
                            )
                                internal
                                view
                                returns (Types.Par memory, Types.Wei memory)
                            {
                                Types.Par memory oldPar = state.getPar(account, marketId);
                        
                                Require.that(
                                    !oldPar.isPositive(),
                                    FILE,
                                    "Owed balance cannot be positive",
                                    account.owner,
                                    account.number,
                                    marketId
                                );
                        
                                (
                                    Types.Par memory newPar,
                                    Types.Wei memory deltaWei
                                ) = state.getNewParAndDeltaWei(
                                    account,
                                    marketId,
                                    amount
                                );
                        
                                // if attempting to over-repay the owed asset, bound it by the maximum
                                if (newPar.isPositive()) {
                                    newPar = Types.zeroPar();
                                    deltaWei = state.getWei(account, marketId).negative();
                                }
                        
                                Require.that(
                                    !deltaWei.isNegative() && oldPar.value >= newPar.value,
                                    FILE,
                                    "Owed balance cannot increase",
                                    account.owner,
                                    account.number,
                                    marketId
                                );
                        
                                // if not paying back enough wei to repay any par, then bound wei to zero
                                if (oldPar.equals(newPar)) {
                                    deltaWei = Types.zeroWei();
                                }
                        
                                return (newPar, deltaWei);
                            }
                        
                            function isVaporizable(
                                Storage.State storage state,
                                Account.Info memory account,
                                Cache.MarketCache memory cache
                            )
                                internal
                                view
                                returns (bool)
                            {
                                bool hasNegative = false;
                                uint256 numMarkets = cache.getNumMarkets();
                                for (uint256 m = 0; m < numMarkets; m++) {
                                    if (!cache.hasMarket(m)) {
                                        continue;
                                    }
                                    Types.Par memory par = state.getPar(account, m);
                                    if (par.isZero()) {
                                        continue;
                                    } else if (par.sign) {
                                        return false;
                                    } else {
                                        hasNegative = true;
                                    }
                                }
                                return hasNegative;
                            }
                        
                            // =============== Setter Functions ===============
                        
                            function updateIndex(
                                Storage.State storage state,
                                uint256 marketId
                            )
                                internal
                                returns (Interest.Index memory)
                            {
                                Interest.Index memory index = state.getIndex(marketId);
                                if (index.lastUpdate == Time.currentTime()) {
                                    return index;
                                }
                                return state.markets[marketId].index = state.fetchNewIndex(marketId, index);
                            }
                        
                            function setStatus(
                                Storage.State storage state,
                                Account.Info memory account,
                                Account.Status status
                            )
                                internal
                            {
                                state.accounts[account.owner][account.number].status = status;
                            }
                        
                            function setPar(
                                Storage.State storage state,
                                Account.Info memory account,
                                uint256 marketId,
                                Types.Par memory newPar
                            )
                                internal
                            {
                                Types.Par memory oldPar = state.getPar(account, marketId);
                        
                                if (Types.equals(oldPar, newPar)) {
                                    return;
                                }
                        
                                // updateTotalPar
                                Types.TotalPar memory totalPar = state.getTotalPar(marketId);
                        
                                // roll-back oldPar
                                if (oldPar.sign) {
                                    totalPar.supply = uint256(totalPar.supply).sub(oldPar.value).to128();
                                } else {
                                    totalPar.borrow = uint256(totalPar.borrow).sub(oldPar.value).to128();
                                }
                        
                                // roll-forward newPar
                                if (newPar.sign) {
                                    totalPar.supply = uint256(totalPar.supply).add(newPar.value).to128();
                                } else {
                                    totalPar.borrow = uint256(totalPar.borrow).add(newPar.value).to128();
                                }
                        
                                state.markets[marketId].totalPar = totalPar;
                                state.accounts[account.owner][account.number].balances[marketId] = newPar;
                            }
                        
                            /**
                             * Determine and set an account's balance based on a change in wei
                             */
                            function setParFromDeltaWei(
                                Storage.State storage state,
                                Account.Info memory account,
                                uint256 marketId,
                                Types.Wei memory deltaWei
                            )
                                internal
                            {
                                if (deltaWei.isZero()) {
                                    return;
                                }
                                Interest.Index memory index = state.getIndex(marketId);
                                Types.Wei memory oldWei = state.getWei(account, marketId);
                                Types.Wei memory newWei = oldWei.add(deltaWei);
                                Types.Par memory newPar = Interest.weiToPar(newWei, index);
                                state.setPar(
                                    account,
                                    marketId,
                                    newPar
                                );
                            }
                        }
                        
                        // File: contracts/protocol/lib/Events.sol
                        
                        /**
                         * @title Events
                         * @author dYdX
                         *
                         * Library to parse and emit logs from which the state of all accounts and indexes can be followed
                         */
                        library Events {
                            using Types for Types.Wei;
                            using Storage for Storage.State;
                        
                            // ============ Events ============
                        
                            event LogIndexUpdate(
                                uint256 indexed market,
                                Interest.Index index
                            );
                        
                            event LogOperation(
                                address sender
                            );
                        
                            event LogDeposit(
                                address indexed accountOwner,
                                uint256 accountNumber,
                                uint256 market,
                                BalanceUpdate update,
                                address from
                            );
                        
                            event LogWithdraw(
                                address indexed accountOwner,
                                uint256 accountNumber,
                                uint256 market,
                                BalanceUpdate update,
                                address to
                            );
                        
                            event LogTransfer(
                                address indexed accountOneOwner,
                                uint256 accountOneNumber,
                                address indexed accountTwoOwner,
                                uint256 accountTwoNumber,
                                uint256 market,
                                BalanceUpdate updateOne,
                                BalanceUpdate updateTwo
                            );
                        
                            event LogBuy(
                                address indexed accountOwner,
                                uint256 accountNumber,
                                uint256 takerMarket,
                                uint256 makerMarket,
                                BalanceUpdate takerUpdate,
                                BalanceUpdate makerUpdate,
                                address exchangeWrapper
                            );
                        
                            event LogSell(
                                address indexed accountOwner,
                                uint256 accountNumber,
                                uint256 takerMarket,
                                uint256 makerMarket,
                                BalanceUpdate takerUpdate,
                                BalanceUpdate makerUpdate,
                                address exchangeWrapper
                            );
                        
                            event LogTrade(
                                address indexed takerAccountOwner,
                                uint256 takerAccountNumber,
                                address indexed makerAccountOwner,
                                uint256 makerAccountNumber,
                                uint256 inputMarket,
                                uint256 outputMarket,
                                BalanceUpdate takerInputUpdate,
                                BalanceUpdate takerOutputUpdate,
                                BalanceUpdate makerInputUpdate,
                                BalanceUpdate makerOutputUpdate,
                                address autoTrader
                            );
                        
                            event LogCall(
                                address indexed accountOwner,
                                uint256 accountNumber,
                                address callee
                            );
                        
                            event LogLiquidate(
                                address indexed solidAccountOwner,
                                uint256 solidAccountNumber,
                                address indexed liquidAccountOwner,
                                uint256 liquidAccountNumber,
                                uint256 heldMarket,
                                uint256 owedMarket,
                                BalanceUpdate solidHeldUpdate,
                                BalanceUpdate solidOwedUpdate,
                                BalanceUpdate liquidHeldUpdate,
                                BalanceUpdate liquidOwedUpdate
                            );
                        
                            event LogVaporize(
                                address indexed solidAccountOwner,
                                uint256 solidAccountNumber,
                                address indexed vaporAccountOwner,
                                uint256 vaporAccountNumber,
                                uint256 heldMarket,
                                uint256 owedMarket,
                                BalanceUpdate solidHeldUpdate,
                                BalanceUpdate solidOwedUpdate,
                                BalanceUpdate vaporOwedUpdate
                            );
                        
                            // ============ Structs ============
                        
                            struct BalanceUpdate {
                                Types.Wei deltaWei;
                                Types.Par newPar;
                            }
                        
                            // ============ Internal Functions ============
                        
                            function logIndexUpdate(
                                uint256 marketId,
                                Interest.Index memory index
                            )
                                internal
                            {
                                emit LogIndexUpdate(
                                    marketId,
                                    index
                                );
                            }
                        
                            function logOperation()
                                internal
                            {
                                emit LogOperation(msg.sender);
                            }
                        
                            function logDeposit(
                                Storage.State storage state,
                                Actions.DepositArgs memory args,
                                Types.Wei memory deltaWei
                            )
                                internal
                            {
                                emit LogDeposit(
                                    args.account.owner,
                                    args.account.number,
                                    args.market,
                                    getBalanceUpdate(
                                        state,
                                        args.account,
                                        args.market,
                                        deltaWei
                                    ),
                                    args.from
                                );
                            }
                        
                            function logWithdraw(
                                Storage.State storage state,
                                Actions.WithdrawArgs memory args,
                                Types.Wei memory deltaWei
                            )
                                internal
                            {
                                emit LogWithdraw(
                                    args.account.owner,
                                    args.account.number,
                                    args.market,
                                    getBalanceUpdate(
                                        state,
                                        args.account,
                                        args.market,
                                        deltaWei
                                    ),
                                    args.to
                                );
                            }
                        
                            function logTransfer(
                                Storage.State storage state,
                                Actions.TransferArgs memory args,
                                Types.Wei memory deltaWei
                            )
                                internal
                            {
                                emit LogTransfer(
                                    args.accountOne.owner,
                                    args.accountOne.number,
                                    args.accountTwo.owner,
                                    args.accountTwo.number,
                                    args.market,
                                    getBalanceUpdate(
                                        state,
                                        args.accountOne,
                                        args.market,
                                        deltaWei
                                    ),
                                    getBalanceUpdate(
                                        state,
                                        args.accountTwo,
                                        args.market,
                                        deltaWei.negative()
                                    )
                                );
                            }
                        
                            function logBuy(
                                Storage.State storage state,
                                Actions.BuyArgs memory args,
                                Types.Wei memory takerWei,
                                Types.Wei memory makerWei
                            )
                                internal
                            {
                                emit LogBuy(
                                    args.account.owner,
                                    args.account.number,
                                    args.takerMarket,
                                    args.makerMarket,
                                    getBalanceUpdate(
                                        state,
                                        args.account,
                                        args.takerMarket,
                                        takerWei
                                    ),
                                    getBalanceUpdate(
                                        state,
                                        args.account,
                                        args.makerMarket,
                                        makerWei
                                    ),
                                    args.exchangeWrapper
                                );
                            }
                        
                            function logSell(
                                Storage.State storage state,
                                Actions.SellArgs memory args,
                                Types.Wei memory takerWei,
                                Types.Wei memory makerWei
                            )
                                internal
                            {
                                emit LogSell(
                                    args.account.owner,
                                    args.account.number,
                                    args.takerMarket,
                                    args.makerMarket,
                                    getBalanceUpdate(
                                        state,
                                        args.account,
                                        args.takerMarket,
                                        takerWei
                                    ),
                                    getBalanceUpdate(
                                        state,
                                        args.account,
                                        args.makerMarket,
                                        makerWei
                                    ),
                                    args.exchangeWrapper
                                );
                            }
                        
                            function logTrade(
                                Storage.State storage state,
                                Actions.TradeArgs memory args,
                                Types.Wei memory inputWei,
                                Types.Wei memory outputWei
                            )
                                internal
                            {
                                BalanceUpdate[4] memory updates = [
                                    getBalanceUpdate(
                                        state,
                                        args.takerAccount,
                                        args.inputMarket,
                                        inputWei.negative()
                                    ),
                                    getBalanceUpdate(
                                        state,
                                        args.takerAccount,
                                        args.outputMarket,
                                        outputWei.negative()
                                    ),
                                    getBalanceUpdate(
                                        state,
                                        args.makerAccount,
                                        args.inputMarket,
                                        inputWei
                                    ),
                                    getBalanceUpdate(
                                        state,
                                        args.makerAccount,
                                        args.outputMarket,
                                        outputWei
                                    )
                                ];
                        
                                emit LogTrade(
                                    args.takerAccount.owner,
                                    args.takerAccount.number,
                                    args.makerAccount.owner,
                                    args.makerAccount.number,
                                    args.inputMarket,
                                    args.outputMarket,
                                    updates[0],
                                    updates[1],
                                    updates[2],
                                    updates[3],
                                    args.autoTrader
                                );
                            }
                        
                            function logCall(
                                Actions.CallArgs memory args
                            )
                                internal
                            {
                                emit LogCall(
                                    args.account.owner,
                                    args.account.number,
                                    args.callee
                                );
                            }
                        
                            function logLiquidate(
                                Storage.State storage state,
                                Actions.LiquidateArgs memory args,
                                Types.Wei memory heldWei,
                                Types.Wei memory owedWei
                            )
                                internal
                            {
                                BalanceUpdate memory solidHeldUpdate = getBalanceUpdate(
                                    state,
                                    args.solidAccount,
                                    args.heldMarket,
                                    heldWei.negative()
                                );
                                BalanceUpdate memory solidOwedUpdate = getBalanceUpdate(
                                    state,
                                    args.solidAccount,
                                    args.owedMarket,
                                    owedWei.negative()
                                );
                                BalanceUpdate memory liquidHeldUpdate = getBalanceUpdate(
                                    state,
                                    args.liquidAccount,
                                    args.heldMarket,
                                    heldWei
                                );
                                BalanceUpdate memory liquidOwedUpdate = getBalanceUpdate(
                                    state,
                                    args.liquidAccount,
                                    args.owedMarket,
                                    owedWei
                                );
                        
                                emit LogLiquidate(
                                    args.solidAccount.owner,
                                    args.solidAccount.number,
                                    args.liquidAccount.owner,
                                    args.liquidAccount.number,
                                    args.heldMarket,
                                    args.owedMarket,
                                    solidHeldUpdate,
                                    solidOwedUpdate,
                                    liquidHeldUpdate,
                                    liquidOwedUpdate
                                );
                            }
                        
                            function logVaporize(
                                Storage.State storage state,
                                Actions.VaporizeArgs memory args,
                                Types.Wei memory heldWei,
                                Types.Wei memory owedWei,
                                Types.Wei memory excessWei
                            )
                                internal
                            {
                                BalanceUpdate memory solidHeldUpdate = getBalanceUpdate(
                                    state,
                                    args.solidAccount,
                                    args.heldMarket,
                                    heldWei.negative()
                                );
                                BalanceUpdate memory solidOwedUpdate = getBalanceUpdate(
                                    state,
                                    args.solidAccount,
                                    args.owedMarket,
                                    owedWei.negative()
                                );
                                BalanceUpdate memory vaporOwedUpdate = getBalanceUpdate(
                                    state,
                                    args.vaporAccount,
                                    args.owedMarket,
                                    owedWei.add(excessWei)
                                );
                        
                                emit LogVaporize(
                                    args.solidAccount.owner,
                                    args.solidAccount.number,
                                    args.vaporAccount.owner,
                                    args.vaporAccount.number,
                                    args.heldMarket,
                                    args.owedMarket,
                                    solidHeldUpdate,
                                    solidOwedUpdate,
                                    vaporOwedUpdate
                                );
                            }
                        
                            // ============ Private Functions ============
                        
                            function getBalanceUpdate(
                                Storage.State storage state,
                                Account.Info memory account,
                                uint256 market,
                                Types.Wei memory deltaWei
                            )
                                private
                                view
                                returns (BalanceUpdate memory)
                            {
                                return BalanceUpdate({
                                    deltaWei: deltaWei,
                                    newPar: state.getPar(account, market)
                                });
                            }
                        }
                        
                        // File: contracts/protocol/interfaces/IExchangeWrapper.sol
                        
                        /**
                         * @title IExchangeWrapper
                         * @author dYdX
                         *
                         * Interface that Exchange Wrappers for Solo must implement in order to trade ERC20 tokens.
                         */
                        interface IExchangeWrapper {
                        
                            // ============ Public Functions ============
                        
                            /**
                             * Exchange some amount of takerToken for makerToken.
                             *
                             * @param  tradeOriginator      Address of the initiator of the trade (however, this value
                             *                              cannot always be trusted as it is set at the discretion of the
                             *                              msg.sender)
                             * @param  receiver             Address to set allowance on once the trade has completed
                             * @param  makerToken           Address of makerToken, the token to receive
                             * @param  takerToken           Address of takerToken, the token to pay
                             * @param  requestedFillAmount  Amount of takerToken being paid
                             * @param  orderData            Arbitrary bytes data for any information to pass to the exchange
                             * @return                      The amount of makerToken received
                             */
                            function exchange(
                                address tradeOriginator,
                                address receiver,
                                address makerToken,
                                address takerToken,
                                uint256 requestedFillAmount,
                                bytes calldata orderData
                            )
                                external
                                returns (uint256);
                        
                            /**
                             * Get amount of takerToken required to buy a certain amount of makerToken for a given trade.
                             * Should match the takerToken amount used in exchangeForAmount. If the order cannot provide
                             * exactly desiredMakerToken, then it must return the price to buy the minimum amount greater
                             * than desiredMakerToken
                             *
                             * @param  makerToken         Address of makerToken, the token to receive
                             * @param  takerToken         Address of takerToken, the token to pay
                             * @param  desiredMakerToken  Amount of makerToken requested
                             * @param  orderData          Arbitrary bytes data for any information to pass to the exchange
                             * @return                    Amount of takerToken the needed to complete the exchange
                             */
                            function getExchangeCost(
                                address makerToken,
                                address takerToken,
                                uint256 desiredMakerToken,
                                bytes calldata orderData
                            )
                                external
                                view
                                returns (uint256);
                        }
                        
                        // File: contracts/protocol/lib/Exchange.sol
                        
                        /**
                         * @title Exchange
                         * @author dYdX
                         *
                         * Library for transferring tokens and interacting with ExchangeWrappers by using the Wei struct
                         */
                        library Exchange {
                            using Types for Types.Wei;
                        
                            // ============ Constants ============
                        
                            bytes32 constant FILE = "Exchange";
                        
                            // ============ Library Functions ============
                        
                            function transferOut(
                                address token,
                                address to,
                                Types.Wei memory deltaWei
                            )
                                internal
                            {
                                Require.that(
                                    !deltaWei.isPositive(),
                                    FILE,
                                    "Cannot transferOut positive",
                                    deltaWei.value
                                );
                        
                                Token.transfer(
                                    token,
                                    to,
                                    deltaWei.value
                                );
                            }
                        
                            function transferIn(
                                address token,
                                address from,
                                Types.Wei memory deltaWei
                            )
                                internal
                            {
                                Require.that(
                                    !deltaWei.isNegative(),
                                    FILE,
                                    "Cannot transferIn negative",
                                    deltaWei.value
                                );
                        
                                Token.transferFrom(
                                    token,
                                    from,
                                    address(this),
                                    deltaWei.value
                                );
                            }
                        
                            function getCost(
                                address exchangeWrapper,
                                address supplyToken,
                                address borrowToken,
                                Types.Wei memory desiredAmount,
                                bytes memory orderData
                            )
                                internal
                                view
                                returns (Types.Wei memory)
                            {
                                Require.that(
                                    !desiredAmount.isNegative(),
                                    FILE,
                                    "Cannot getCost negative",
                                    desiredAmount.value
                                );
                        
                                Types.Wei memory result;
                                result.sign = false;
                                result.value = IExchangeWrapper(exchangeWrapper).getExchangeCost(
                                    supplyToken,
                                    borrowToken,
                                    desiredAmount.value,
                                    orderData
                                );
                        
                                return result;
                            }
                        
                            function exchange(
                                address exchangeWrapper,
                                address accountOwner,
                                address supplyToken,
                                address borrowToken,
                                Types.Wei memory requestedFillAmount,
                                bytes memory orderData
                            )
                                internal
                                returns (Types.Wei memory)
                            {
                                Require.that(
                                    !requestedFillAmount.isPositive(),
                                    FILE,
                                    "Cannot exchange positive",
                                    requestedFillAmount.value
                                );
                        
                                transferOut(borrowToken, exchangeWrapper, requestedFillAmount);
                        
                                Types.Wei memory result;
                                result.sign = true;
                                result.value = IExchangeWrapper(exchangeWrapper).exchange(
                                    accountOwner,
                                    address(this),
                                    supplyToken,
                                    borrowToken,
                                    requestedFillAmount.value,
                                    orderData
                                );
                        
                                transferIn(supplyToken, exchangeWrapper, result);
                        
                                return result;
                            }
                        }
                        
                        // File: contracts/protocol/impl/OperationImpl.sol
                        
                        /**
                         * @title OperationImpl
                         * @author dYdX
                         *
                         * Logic for processing actions
                         */
                        library OperationImpl {
                            using Cache for Cache.MarketCache;
                            using SafeMath for uint256;
                            using Storage for Storage.State;
                            using Types for Types.Par;
                            using Types for Types.Wei;
                        
                            // ============ Constants ============
                        
                            bytes32 constant FILE = "OperationImpl";
                        
                            // ============ Public Functions ============
                        
                            function operate(
                                Storage.State storage state,
                                Account.Info[] memory accounts,
                                Actions.ActionArgs[] memory actions
                            )
                                public
                            {
                                Events.logOperation();
                        
                                _verifyInputs(accounts, actions);
                        
                                (
                                    bool[] memory primaryAccounts,
                                    Cache.MarketCache memory cache
                                ) = _runPreprocessing(
                                    state,
                                    accounts,
                                    actions
                                );
                        
                                _runActions(
                                    state,
                                    accounts,
                                    actions,
                                    cache
                                );
                        
                                _verifyFinalState(
                                    state,
                                    accounts,
                                    primaryAccounts,
                                    cache
                                );
                            }
                        
                            // ============ Helper Functions ============
                        
                            function _verifyInputs(
                                Account.Info[] memory accounts,
                                Actions.ActionArgs[] memory actions
                            )
                                private
                                pure
                            {
                                Require.that(
                                    actions.length != 0,
                                    FILE,
                                    "Cannot have zero actions"
                                );
                        
                                Require.that(
                                    accounts.length != 0,
                                    FILE,
                                    "Cannot have zero accounts"
                                );
                        
                                for (uint256 a = 0; a < accounts.length; a++) {
                                    for (uint256 b = a + 1; b < accounts.length; b++) {
                                        Require.that(
                                            !Account.equals(accounts[a], accounts[b]),
                                            FILE,
                                            "Cannot duplicate accounts",
                                            a,
                                            b
                                        );
                                    }
                                }
                            }
                        
                            function _runPreprocessing(
                                Storage.State storage state,
                                Account.Info[] memory accounts,
                                Actions.ActionArgs[] memory actions
                            )
                                private
                                returns (
                                    bool[] memory,
                                    Cache.MarketCache memory
                                )
                            {
                                uint256 numMarkets = state.numMarkets;
                                bool[] memory primaryAccounts = new bool[](accounts.length);
                                Cache.MarketCache memory cache = Cache.create(numMarkets);
                        
                                // keep track of primary accounts and indexes that need updating
                                for (uint256 i = 0; i < actions.length; i++) {
                                    Actions.ActionArgs memory arg = actions[i];
                                    Actions.ActionType actionType = arg.actionType;
                                    Actions.MarketLayout marketLayout = Actions.getMarketLayout(actionType);
                                    Actions.AccountLayout accountLayout = Actions.getAccountLayout(actionType);
                        
                                    // parse out primary accounts
                                    if (accountLayout != Actions.AccountLayout.OnePrimary) {
                                        Require.that(
                                            arg.accountId != arg.otherAccountId,
                                            FILE,
                                            "Duplicate accounts in action",
                                            i
                                        );
                                        if (accountLayout == Actions.AccountLayout.TwoPrimary) {
                                            primaryAccounts[arg.otherAccountId] = true;
                                        } else {
                                            assert(accountLayout == Actions.AccountLayout.PrimaryAndSecondary);
                                            Require.that(
                                                !primaryAccounts[arg.otherAccountId],
                                                FILE,
                                                "Requires non-primary account",
                                                arg.otherAccountId
                                            );
                                        }
                                    }
                                    primaryAccounts[arg.accountId] = true;
                        
                                    // keep track of indexes to update
                                    if (marketLayout == Actions.MarketLayout.OneMarket) {
                                        _updateMarket(state, cache, arg.primaryMarketId);
                                    } else if (marketLayout == Actions.MarketLayout.TwoMarkets) {
                                        Require.that(
                                            arg.primaryMarketId != arg.secondaryMarketId,
                                            FILE,
                                            "Duplicate markets in action",
                                            i
                                        );
                                        _updateMarket(state, cache, arg.primaryMarketId);
                                        _updateMarket(state, cache, arg.secondaryMarketId);
                                    } else {
                                        assert(marketLayout == Actions.MarketLayout.ZeroMarkets);
                                    }
                                }
                        
                                // get any other markets for which an account has a balance
                                for (uint256 m = 0; m < numMarkets; m++) {
                                    if (cache.hasMarket(m)) {
                                        continue;
                                    }
                                    for (uint256 a = 0; a < accounts.length; a++) {
                                        if (!state.getPar(accounts[a], m).isZero()) {
                                            _updateMarket(state, cache, m);
                                            break;
                                        }
                                    }
                                }
                        
                                return (primaryAccounts, cache);
                            }
                        
                            function _updateMarket(
                                Storage.State storage state,
                                Cache.MarketCache memory cache,
                                uint256 marketId
                            )
                                private
                            {
                                bool updated = cache.addMarket(state, marketId);
                                if (updated) {
                                    Events.logIndexUpdate(marketId, state.updateIndex(marketId));
                                }
                            }
                        
                            function _runActions(
                                Storage.State storage state,
                                Account.Info[] memory accounts,
                                Actions.ActionArgs[] memory actions,
                                Cache.MarketCache memory cache
                            )
                                private
                            {
                                for (uint256 i = 0; i < actions.length; i++) {
                                    Actions.ActionArgs memory action = actions[i];
                                    Actions.ActionType actionType = action.actionType;
                        
                                    if (actionType == Actions.ActionType.Deposit) {
                                        _deposit(state, Actions.parseDepositArgs(accounts, action));
                                    }
                                    else if (actionType == Actions.ActionType.Withdraw) {
                                        _withdraw(state, Actions.parseWithdrawArgs(accounts, action));
                                    }
                                    else if (actionType == Actions.ActionType.Transfer) {
                                        _transfer(state, Actions.parseTransferArgs(accounts, action));
                                    }
                                    else if (actionType == Actions.ActionType.Buy) {
                                        _buy(state, Actions.parseBuyArgs(accounts, action));
                                    }
                                    else if (actionType == Actions.ActionType.Sell) {
                                        _sell(state, Actions.parseSellArgs(accounts, action));
                                    }
                                    else if (actionType == Actions.ActionType.Trade) {
                                        _trade(state, Actions.parseTradeArgs(accounts, action));
                                    }
                                    else if (actionType == Actions.ActionType.Liquidate) {
                                        _liquidate(state, Actions.parseLiquidateArgs(accounts, action), cache);
                                    }
                                    else if (actionType == Actions.ActionType.Vaporize) {
                                        _vaporize(state, Actions.parseVaporizeArgs(accounts, action), cache);
                                    }
                                    else  {
                                        assert(actionType == Actions.ActionType.Call);
                                        _call(state, Actions.parseCallArgs(accounts, action));
                                    }
                                }
                            }
                        
                            function _verifyFinalState(
                                Storage.State storage state,
                                Account.Info[] memory accounts,
                                bool[] memory primaryAccounts,
                                Cache.MarketCache memory cache
                            )
                                private
                            {
                                // verify no increase in borrowPar for closing markets
                                uint256 numMarkets = cache.getNumMarkets();
                                for (uint256 m = 0; m < numMarkets; m++) {
                                    if (cache.getIsClosing(m)) {
                                        Require.that(
                                            state.getTotalPar(m).borrow <= cache.getBorrowPar(m),
                                            FILE,
                                            "Market is closing",
                                            m
                                        );
                                    }
                                }
                        
                                // verify account collateralization
                                for (uint256 a = 0; a < accounts.length; a++) {
                                    Account.Info memory account = accounts[a];
                        
                                    // validate minBorrowedValue
                                    bool collateralized = state.isCollateralized(account, cache, true);
                        
                                    // don't check collateralization for non-primary accounts
                                    if (!primaryAccounts[a]) {
                                        continue;
                                    }
                        
                                    // check collateralization for primary accounts
                                    Require.that(
                                        collateralized,
                                        FILE,
                                        "Undercollateralized account",
                                        account.owner,
                                        account.number
                                    );
                        
                                    // ensure status is normal for primary accounts
                                    if (state.getStatus(account) != Account.Status.Normal) {
                                        state.setStatus(account, Account.Status.Normal);
                                    }
                                }
                            }
                        
                            // ============ Action Functions ============
                        
                            function _deposit(
                                Storage.State storage state,
                                Actions.DepositArgs memory args
                            )
                                private
                            {
                                state.requireIsOperator(args.account, msg.sender);
                        
                                Require.that(
                                    args.from == msg.sender || args.from == args.account.owner,
                                    FILE,
                                    "Invalid deposit source",
                                    args.from
                                );
                        
                                (
                                    Types.Par memory newPar,
                                    Types.Wei memory deltaWei
                                ) = state.getNewParAndDeltaWei(
                                    args.account,
                                    args.market,
                                    args.amount
                                );
                        
                                state.setPar(
                                    args.account,
                                    args.market,
                                    newPar
                                );
                        
                                // requires a positive deltaWei
                                Exchange.transferIn(
                                    state.getToken(args.market),
                                    args.from,
                                    deltaWei
                                );
                        
                                Events.logDeposit(
                                    state,
                                    args,
                                    deltaWei
                                );
                            }
                        
                            function _withdraw(
                                Storage.State storage state,
                                Actions.WithdrawArgs memory args
                            )
                                private
                            {
                                state.requireIsOperator(args.account, msg.sender);
                        
                                (
                                    Types.Par memory newPar,
                                    Types.Wei memory deltaWei
                                ) = state.getNewParAndDeltaWei(
                                    args.account,
                                    args.market,
                                    args.amount
                                );
                        
                                state.setPar(
                                    args.account,
                                    args.market,
                                    newPar
                                );
                        
                                // requires a negative deltaWei
                                Exchange.transferOut(
                                    state.getToken(args.market),
                                    args.to,
                                    deltaWei
                                );
                        
                                Events.logWithdraw(
                                    state,
                                    args,
                                    deltaWei
                                );
                            }
                        
                            function _transfer(
                                Storage.State storage state,
                                Actions.TransferArgs memory args
                            )
                                private
                            {
                                state.requireIsOperator(args.accountOne, msg.sender);
                                state.requireIsOperator(args.accountTwo, msg.sender);
                        
                                (
                                    Types.Par memory newPar,
                                    Types.Wei memory deltaWei
                                ) = state.getNewParAndDeltaWei(
                                    args.accountOne,
                                    args.market,
                                    args.amount
                                );
                        
                                state.setPar(
                                    args.accountOne,
                                    args.market,
                                    newPar
                                );
                        
                                state.setParFromDeltaWei(
                                    args.accountTwo,
                                    args.market,
                                    deltaWei.negative()
                                );
                        
                                Events.logTransfer(
                                    state,
                                    args,
                                    deltaWei
                                );
                            }
                        
                            function _buy(
                                Storage.State storage state,
                                Actions.BuyArgs memory args
                            )
                                private
                            {
                                state.requireIsOperator(args.account, msg.sender);
                        
                                address takerToken = state.getToken(args.takerMarket);
                                address makerToken = state.getToken(args.makerMarket);
                        
                                (
                                    Types.Par memory makerPar,
                                    Types.Wei memory makerWei
                                ) = state.getNewParAndDeltaWei(
                                    args.account,
                                    args.makerMarket,
                                    args.amount
                                );
                        
                                Types.Wei memory takerWei = Exchange.getCost(
                                    args.exchangeWrapper,
                                    makerToken,
                                    takerToken,
                                    makerWei,
                                    args.orderData
                                );
                        
                                Types.Wei memory tokensReceived = Exchange.exchange(
                                    args.exchangeWrapper,
                                    args.account.owner,
                                    makerToken,
                                    takerToken,
                                    takerWei,
                                    args.orderData
                                );
                        
                                Require.that(
                                    tokensReceived.value >= makerWei.value,
                                    FILE,
                                    "Buy amount less than promised",
                                    tokensReceived.value,
                                    makerWei.value
                                );
                        
                                state.setPar(
                                    args.account,
                                    args.makerMarket,
                                    makerPar
                                );
                        
                                state.setParFromDeltaWei(
                                    args.account,
                                    args.takerMarket,
                                    takerWei
                                );
                        
                                Events.logBuy(
                                    state,
                                    args,
                                    takerWei,
                                    makerWei
                                );
                            }
                        
                            function _sell(
                                Storage.State storage state,
                                Actions.SellArgs memory args
                            )
                                private
                            {
                                state.requireIsOperator(args.account, msg.sender);
                        
                                address takerToken = state.getToken(args.takerMarket);
                                address makerToken = state.getToken(args.makerMarket);
                        
                                (
                                    Types.Par memory takerPar,
                                    Types.Wei memory takerWei
                                ) = state.getNewParAndDeltaWei(
                                    args.account,
                                    args.takerMarket,
                                    args.amount
                                );
                        
                                Types.Wei memory makerWei = Exchange.exchange(
                                    args.exchangeWrapper,
                                    args.account.owner,
                                    makerToken,
                                    takerToken,
                                    takerWei,
                                    args.orderData
                                );
                        
                                state.setPar(
                                    args.account,
                                    args.takerMarket,
                                    takerPar
                                );
                        
                                state.setParFromDeltaWei(
                                    args.account,
                                    args.makerMarket,
                                    makerWei
                                );
                        
                                Events.logSell(
                                    state,
                                    args,
                                    takerWei,
                                    makerWei
                                );
                            }
                        
                            function _trade(
                                Storage.State storage state,
                                Actions.TradeArgs memory args
                            )
                                private
                            {
                                state.requireIsOperator(args.takerAccount, msg.sender);
                                state.requireIsOperator(args.makerAccount, args.autoTrader);
                        
                                Types.Par memory oldInputPar = state.getPar(
                                    args.makerAccount,
                                    args.inputMarket
                                );
                                (
                                    Types.Par memory newInputPar,
                                    Types.Wei memory inputWei
                                ) = state.getNewParAndDeltaWei(
                                    args.makerAccount,
                                    args.inputMarket,
                                    args.amount
                                );
                        
                                Types.AssetAmount memory outputAmount = IAutoTrader(args.autoTrader).getTradeCost(
                                    args.inputMarket,
                                    args.outputMarket,
                                    args.makerAccount,
                                    args.takerAccount,
                                    oldInputPar,
                                    newInputPar,
                                    inputWei,
                                    args.tradeData
                                );
                        
                                (
                                    Types.Par memory newOutputPar,
                                    Types.Wei memory outputWei
                                ) = state.getNewParAndDeltaWei(
                                    args.makerAccount,
                                    args.outputMarket,
                                    outputAmount
                                );
                        
                                Require.that(
                                    outputWei.isZero() || inputWei.isZero() || outputWei.sign != inputWei.sign,
                                    FILE,
                                    "Trades cannot be one-sided"
                                );
                        
                                // set the balance for the maker
                                state.setPar(
                                    args.makerAccount,
                                    args.inputMarket,
                                    newInputPar
                                );
                                state.setPar(
                                    args.makerAccount,
                                    args.outputMarket,
                                    newOutputPar
                                );
                        
                                // set the balance for the taker
                                state.setParFromDeltaWei(
                                    args.takerAccount,
                                    args.inputMarket,
                                    inputWei.negative()
                                );
                                state.setParFromDeltaWei(
                                    args.takerAccount,
                                    args.outputMarket,
                                    outputWei.negative()
                                );
                        
                                Events.logTrade(
                                    state,
                                    args,
                                    inputWei,
                                    outputWei
                                );
                            }
                        
                            function _liquidate(
                                Storage.State storage state,
                                Actions.LiquidateArgs memory args,
                                Cache.MarketCache memory cache
                            )
                                private
                            {
                                state.requireIsOperator(args.solidAccount, msg.sender);
                        
                                // verify liquidatable
                                if (Account.Status.Liquid != state.getStatus(args.liquidAccount)) {
                                    Require.that(
                                        !state.isCollateralized(args.liquidAccount, cache, /* requireMinBorrow = */ false),
                                        FILE,
                                        "Unliquidatable account",
                                        args.liquidAccount.owner,
                                        args.liquidAccount.number
                                    );
                                    state.setStatus(args.liquidAccount, Account.Status.Liquid);
                                }
                        
                                Types.Wei memory maxHeldWei = state.getWei(
                                    args.liquidAccount,
                                    args.heldMarket
                                );
                        
                                Require.that(
                                    !maxHeldWei.isNegative(),
                                    FILE,
                                    "Collateral cannot be negative",
                                    args.liquidAccount.owner,
                                    args.liquidAccount.number,
                                    args.heldMarket
                                );
                        
                                (
                                    Types.Par memory owedPar,
                                    Types.Wei memory owedWei
                                ) = state.getNewParAndDeltaWeiForLiquidation(
                                    args.liquidAccount,
                                    args.owedMarket,
                                    args.amount
                                );
                        
                                (
                                    Monetary.Price memory heldPrice,
                                    Monetary.Price memory owedPrice
                                ) = _getLiquidationPrices(
                                    state,
                                    cache,
                                    args.heldMarket,
                                    args.owedMarket
                                );
                        
                                Types.Wei memory heldWei = _owedWeiToHeldWei(owedWei, heldPrice, owedPrice);
                        
                                // if attempting to over-borrow the held asset, bound it by the maximum
                                if (heldWei.value > maxHeldWei.value) {
                                    heldWei = maxHeldWei.negative();
                                    owedWei = _heldWeiToOwedWei(heldWei, heldPrice, owedPrice);
                        
                                    state.setPar(
                                        args.liquidAccount,
                                        args.heldMarket,
                                        Types.zeroPar()
                                    );
                                    state.setParFromDeltaWei(
                                        args.liquidAccount,
                                        args.owedMarket,
                                        owedWei
                                    );
                                } else {
                                    state.setPar(
                                        args.liquidAccount,
                                        args.owedMarket,
                                        owedPar
                                    );
                                    state.setParFromDeltaWei(
                                        args.liquidAccount,
                                        args.heldMarket,
                                        heldWei
                                    );
                                }
                        
                                // set the balances for the solid account
                                state.setParFromDeltaWei(
                                    args.solidAccount,
                                    args.owedMarket,
                                    owedWei.negative()
                                );
                                state.setParFromDeltaWei(
                                    args.solidAccount,
                                    args.heldMarket,
                                    heldWei.negative()
                                );
                        
                                Events.logLiquidate(
                                    state,
                                    args,
                                    heldWei,
                                    owedWei
                                );
                            }
                        
                            function _vaporize(
                                Storage.State storage state,
                                Actions.VaporizeArgs memory args,
                                Cache.MarketCache memory cache
                            )
                                private
                            {
                                state.requireIsOperator(args.solidAccount, msg.sender);
                        
                                // verify vaporizable
                                if (Account.Status.Vapor != state.getStatus(args.vaporAccount)) {
                                    Require.that(
                                        state.isVaporizable(args.vaporAccount, cache),
                                        FILE,
                                        "Unvaporizable account",
                                        args.vaporAccount.owner,
                                        args.vaporAccount.number
                                    );
                                    state.setStatus(args.vaporAccount, Account.Status.Vapor);
                                }
                        
                                // First, attempt to refund using the same token
                                (
                                    bool fullyRepaid,
                                    Types.Wei memory excessWei
                                ) = _vaporizeUsingExcess(state, args);
                                if (fullyRepaid) {
                                    Events.logVaporize(
                                        state,
                                        args,
                                        Types.zeroWei(),
                                        Types.zeroWei(),
                                        excessWei
                                    );
                                    return;
                                }
                        
                                Types.Wei memory maxHeldWei = state.getNumExcessTokens(args.heldMarket);
                        
                                Require.that(
                                    !maxHeldWei.isNegative(),
                                    FILE,
                                    "Excess cannot be negative",
                                    args.heldMarket
                                );
                        
                                (
                                    Types.Par memory owedPar,
                                    Types.Wei memory owedWei
                                ) = state.getNewParAndDeltaWeiForLiquidation(
                                    args.vaporAccount,
                                    args.owedMarket,
                                    args.amount
                                );
                        
                                (
                                    Monetary.Price memory heldPrice,
                                    Monetary.Price memory owedPrice
                                ) = _getLiquidationPrices(
                                    state,
                                    cache,
                                    args.heldMarket,
                                    args.owedMarket
                                );
                        
                                Types.Wei memory heldWei = _owedWeiToHeldWei(owedWei, heldPrice, owedPrice);
                        
                                // if attempting to over-borrow the held asset, bound it by the maximum
                                if (heldWei.value > maxHeldWei.value) {
                                    heldWei = maxHeldWei.negative();
                                    owedWei = _heldWeiToOwedWei(heldWei, heldPrice, owedPrice);
                        
                                    state.setParFromDeltaWei(
                                        args.vaporAccount,
                                        args.owedMarket,
                                        owedWei
                                    );
                                } else {
                                    state.setPar(
                                        args.vaporAccount,
                                        args.owedMarket,
                                        owedPar
                                    );
                                }
                        
                                // set the balances for the solid account
                                state.setParFromDeltaWei(
                                    args.solidAccount,
                                    args.owedMarket,
                                    owedWei.negative()
                                );
                                state.setParFromDeltaWei(
                                    args.solidAccount,
                                    args.heldMarket,
                                    heldWei.negative()
                                );
                        
                                Events.logVaporize(
                                    state,
                                    args,
                                    heldWei,
                                    owedWei,
                                    excessWei
                                );
                            }
                        
                            function _call(
                                Storage.State storage state,
                                Actions.CallArgs memory args
                            )
                                private
                            {
                                state.requireIsOperator(args.account, msg.sender);
                        
                                ICallee(args.callee).callFunction(
                                    msg.sender,
                                    args.account,
                                    args.data
                                );
                        
                                Events.logCall(args);
                            }
                        
                            // ============ Private Functions ============
                        
                            /**
                             * For the purposes of liquidation or vaporization, get the value-equivalent amount of heldWei
                             * given owedWei and the (spread-adjusted) prices of each asset.
                             */
                            function _owedWeiToHeldWei(
                                Types.Wei memory owedWei,
                                Monetary.Price memory heldPrice,
                                Monetary.Price memory owedPrice
                            )
                                private
                                pure
                                returns (Types.Wei memory)
                            {
                                return Types.Wei({
                                    sign: false,
                                    value: Math.getPartial(owedWei.value, owedPrice.value, heldPrice.value)
                                });
                            }
                        
                            /**
                             * For the purposes of liquidation or vaporization, get the value-equivalent amount of owedWei
                             * given heldWei and the (spread-adjusted) prices of each asset.
                             */
                            function _heldWeiToOwedWei(
                                Types.Wei memory heldWei,
                                Monetary.Price memory heldPrice,
                                Monetary.Price memory owedPrice
                            )
                                private
                                pure
                                returns (Types.Wei memory)
                            {
                                return Types.Wei({
                                    sign: true,
                                    value: Math.getPartialRoundUp(heldWei.value, heldPrice.value, owedPrice.value)
                                });
                            }
                        
                            /**
                             * Attempt to vaporize an account's balance using the excess tokens in the protocol. Return a
                             * bool and a wei value. The boolean is true if and only if the balance was fully vaporized. The
                             * Wei value is how many excess tokens were used to partially or fully vaporize the account's
                             * negative balance.
                             */
                            function _vaporizeUsingExcess(
                                Storage.State storage state,
                                Actions.VaporizeArgs memory args
                            )
                                internal
                                returns (bool, Types.Wei memory)
                            {
                                Types.Wei memory excessWei = state.getNumExcessTokens(args.owedMarket);
                        
                                // There are no excess funds, return zero
                                if (!excessWei.isPositive()) {
                                    return (false, Types.zeroWei());
                                }
                        
                                Types.Wei memory maxRefundWei = state.getWei(args.vaporAccount, args.owedMarket);
                                maxRefundWei.sign = true;
                        
                                // The account is fully vaporizable using excess funds
                                if (excessWei.value >= maxRefundWei.value) {
                                    state.setPar(
                                        args.vaporAccount,
                                        args.owedMarket,
                                        Types.zeroPar()
                                    );
                                    return (true, maxRefundWei);
                                }
                        
                                // The account is only partially vaporizable using excess funds
                                else {
                                    state.setParFromDeltaWei(
                                        args.vaporAccount,
                                        args.owedMarket,
                                        excessWei
                                    );
                                    return (false, excessWei);
                                }
                            }
                        
                            /**
                             * Return the (spread-adjusted) prices of two assets for the purposes of liquidation or
                             * vaporization.
                             */
                            function _getLiquidationPrices(
                                Storage.State storage state,
                                Cache.MarketCache memory cache,
                                uint256 heldMarketId,
                                uint256 owedMarketId
                            )
                                internal
                                view
                                returns (
                                    Monetary.Price memory,
                                    Monetary.Price memory
                                )
                            {
                                uint256 originalPrice = cache.getPrice(owedMarketId).value;
                                Decimal.D256 memory spread = state.getLiquidationSpreadForPair(
                                    heldMarketId,
                                    owedMarketId
                                );
                        
                                Monetary.Price memory owedPrice = Monetary.Price({
                                    value: originalPrice.add(Decimal.mul(originalPrice, spread))
                                });
                        
                                return (cache.getPrice(heldMarketId), owedPrice);
                            }
                        }

                        File 10 of 15: WethPriceOracle
                        /*
                        
                            Copyright 2019 dYdX Trading Inc.
                        
                            Licensed under the Apache License, Version 2.0 (the "License");
                            you may not use this file except in compliance with the License.
                            You may obtain a copy of the License at
                        
                            http://www.apache.org/licenses/LICENSE-2.0
                        
                            Unless required by applicable law or agreed to in writing, software
                            distributed under the License is distributed on an "AS IS" BASIS,
                            WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                            See the License for the specific language governing permissions and
                            limitations under the License.
                        
                        */
                        
                        pragma solidity 0.5.7;
                        pragma experimental ABIEncoderV2;
                        
                        // File: contracts/protocol/lib/Monetary.sol
                        
                        /**
                         * @title Monetary
                         * @author dYdX
                         *
                         * Library for types involving money
                         */
                        library Monetary {
                        
                            /*
                             * The price of a base-unit of an asset.
                             */
                            struct Price {
                                uint256 value;
                            }
                        
                            /*
                             * Total value of an some amount of an asset. Equal to (price * amount).
                             */
                            struct Value {
                                uint256 value;
                            }
                        }
                        
                        // File: contracts/protocol/interfaces/IPriceOracle.sol
                        
                        /**
                         * @title IPriceOracle
                         * @author dYdX
                         *
                         * Interface that Price Oracles for Solo must implement in order to report prices.
                         */
                        contract IPriceOracle {
                        
                            // ============ Constants ============
                        
                            uint256 public constant ONE_DOLLAR = 10 ** 36;
                        
                            // ============ Public Functions ============
                        
                            /**
                             * Get the price of a token
                             *
                             * @param  token  The ERC20 token address of the market
                             * @return        The USD price of a base unit of the token, then multiplied by 10^36.
                             *                So a USD-stable coin with 18 decimal places would return 10^18.
                             *                This is the price of the base unit rather than the price of a "human-readable"
                             *                token amount. Every ERC20 may have a different number of decimals.
                             */
                            function getPrice(
                                address token
                            )
                                public
                                view
                                returns (Monetary.Price memory);
                        }
                        
                        // File: contracts/external/interfaces/IMakerOracle.sol
                        
                        /**
                         * @title IMakerOracle
                         * @author dYdX
                         *
                         * Interface for the price oracles run by MakerDao
                         */
                        interface IMakerOracle {
                        
                            // Event that is logged when the `note` modifier is used
                            event LogNote(
                                bytes4 indexed msgSig,
                                address indexed msgSender,
                                bytes32 indexed arg1,
                                bytes32 indexed arg2,
                                uint256 msgValue,
                                bytes msgData
                            ) anonymous;
                        
                            // returns the current value (ETH/USD * 10**18) as a bytes32
                            function peek()
                                external
                                view
                                returns (bytes32, bool);
                        
                            // requires a fresh price and then returns the current value
                            function read()
                                external
                                view
                                returns (bytes32);
                        }
                        
                        // File: contracts/external/oracles/WethPriceOracle.sol
                        
                        /**
                         * @title WethPriceOracle
                         * @author dYdX
                         *
                         * PriceOracle that returns the price of Wei in USD
                         */
                        contract WethPriceOracle is
                            IPriceOracle
                        {
                            // ============ Storage ============
                        
                            IMakerOracle public MEDIANIZER;
                        
                            // ============ Constructor =============
                        
                            constructor(
                                address medianizer
                            )
                                public
                            {
                                MEDIANIZER = IMakerOracle(medianizer);
                            }
                        
                            // ============ IPriceOracle Functions =============
                        
                            function getPrice(
                                address /* token */
                            )
                                public
                                view
                                returns (Monetary.Price memory)
                            {
                                (bytes32 value, /* bool fresh */) = MEDIANIZER.peek();
                                return Monetary.Price({ value: uint256(value) });
                            }
                        }

                        File 11 of 15: P1MirrorOracleETHUSD
                        /*
                        
                            Copyright 2020 dYdX Trading Inc.
                        
                            Licensed under the Apache License, Version 2.0 (the "License");
                            you may not use this file except in compliance with the License.
                            You may obtain a copy of the License at
                        
                            http://www.apache.org/licenses/LICENSE-2.0
                        
                            Unless required by applicable law or agreed to in writing, software
                            distributed under the License is distributed on an "AS IS" BASIS,
                            WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                            See the License for the specific language governing permissions and
                            limitations under the License.
                        
                        */
                        
                        pragma solidity 0.5.16;
                        pragma experimental ABIEncoderV2;
                        
                        // File: @openzeppelin/contracts/GSN/Context.sol
                        
                        /*
                         * @dev Provides information about the current execution context, including the
                         * sender of the transaction and its data. While these are generally available
                         * via msg.sender and msg.data, they should not be accessed in such a direct
                         * manner, since when dealing with GSN meta-transactions the account sending and
                         * paying for execution may not be the actual sender (as far as an application
                         * is concerned).
                         *
                         * This contract is only required for intermediate, library-like contracts.
                         */
                        contract Context {
                            // Empty internal constructor, to prevent people from mistakenly deploying
                            // an instance of this contract, which should be used via inheritance.
                            constructor () internal { }
                            // solhint-disable-previous-line no-empty-blocks
                        
                            function _msgSender() internal view returns (address payable) {
                                return msg.sender;
                            }
                        
                            function _msgData() internal view returns (bytes memory) {
                                this; // silence state mutability warning without generating bytecode - see https://github.com/ethereum/solidity/issues/2691
                                return msg.data;
                            }
                        }
                        
                        // File: @openzeppelin/contracts/ownership/Ownable.sol
                        
                        /**
                         * @dev Contract module which provides a basic access control mechanism, where
                         * there is an account (an owner) that can be granted exclusive access to
                         * specific functions.
                         *
                         * This module is used through inheritance. It will make available the modifier
                         * `onlyOwner`, which can be applied to your functions to restrict their use to
                         * the owner.
                         */
                        contract Ownable is Context {
                            address private _owner;
                        
                            event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);
                        
                            /**
                             * @dev Initializes the contract setting the deployer as the initial owner.
                             */
                            constructor () internal {
                                address msgSender = _msgSender();
                                _owner = msgSender;
                                emit OwnershipTransferred(address(0), msgSender);
                            }
                        
                            /**
                             * @dev Returns the address of the current owner.
                             */
                            function owner() public view returns (address) {
                                return _owner;
                            }
                        
                            /**
                             * @dev Throws if called by any account other than the owner.
                             */
                            modifier onlyOwner() {
                                require(isOwner(), "Ownable: caller is not the owner");
                                _;
                            }
                        
                            /**
                             * @dev Returns true if the caller is the current owner.
                             */
                            function isOwner() public view returns (bool) {
                                return _msgSender() == _owner;
                            }
                        
                            /**
                             * @dev Leaves the contract without owner. It will not be possible to call
                             * `onlyOwner` functions anymore. Can only be called by the current owner.
                             *
                             * NOTE: Renouncing ownership will leave the contract without an owner,
                             * thereby removing any functionality that is only available to the owner.
                             */
                            function renounceOwnership() public onlyOwner {
                                emit OwnershipTransferred(_owner, address(0));
                                _owner = address(0);
                            }
                        
                            /**
                             * @dev Transfers ownership of the contract to a new account (`newOwner`).
                             * Can only be called by the current owner.
                             */
                            function transferOwnership(address newOwner) public onlyOwner {
                                _transferOwnership(newOwner);
                            }
                        
                            /**
                             * @dev Transfers ownership of the contract to a new account (`newOwner`).
                             */
                            function _transferOwnership(address newOwner) internal {
                                require(newOwner != address(0), "Ownable: new owner is the zero address");
                                emit OwnershipTransferred(_owner, newOwner);
                                _owner = newOwner;
                            }
                        }
                        
                        // File: contracts/external/maker/I_MakerOracle.sol
                        
                        /**
                         * @title I_MakerOracle
                         * @author dYdX
                         *
                         * Interface for the MakerDAO Oracles V2 smart contrats.
                         */
                        interface I_MakerOracle {
                        
                            // ============ Getter Functions ============
                        
                            /**
                             * @notice Returns the current value as a bytes32.
                             */
                            function peek()
                                external
                                view
                                returns (bytes32, bool);
                        
                            /**
                             * @notice Requires a fresh price and then returns the current value.
                             */
                            function read()
                                external
                                view
                                returns (bytes32);
                        
                            /**
                             * @notice Returns the number of signers per poke.
                             */
                            function bar()
                                external
                                view
                                returns (uint256);
                        
                            /**
                             * @notice Returns the timetamp of the last update.
                             */
                            function age()
                                external
                                view
                                returns (uint32);
                        
                            /**
                             * @notice Returns 1 if the signer is authorized, and 0 otherwise.
                             */
                            function orcl(
                                address signer
                            )
                                external
                                view
                                returns (uint256);
                        
                            /**
                             * @notice Returns 1 if the address is authorized to read the oracle price, and 0 otherwise.
                             */
                            function bud(
                                address reader
                            )
                                external
                                view
                                returns (uint256);
                        
                            /**
                             * @notice A mapping from the first byte of an authorized signer's address to the signer.
                             */
                            function slot(
                                uint8 signerId
                            )
                                external
                                view
                                returns (address);
                        
                            // ============ State-Changing Functions ============
                        
                            /**
                             * @notice Updates the value of the oracle
                             */
                            function poke(
                                uint256[] calldata val_,
                                uint256[] calldata age_,
                                uint8[] calldata v,
                                bytes32[] calldata r,
                                bytes32[] calldata s
                            )
                                external;
                        
                            /**
                             * @notice Authorize an address to read the oracle price.
                             */
                            function kiss(
                                address reader
                            )
                                external;
                        
                            /**
                             * @notice Unauthorize an address so it can no longer read the oracle price.
                             */
                            function diss(
                                address reader
                            )
                                external;
                        
                            /**
                             * @notice Authorize addresses to read the oracle price.
                             */
                            function kiss(
                                address[] calldata readers
                            )
                                external;
                        
                            /**
                             * @notice Unauthorize addresses so they can no longer read the oracle price.
                             */
                            function diss(
                                address[] calldata readers
                            )
                                external;
                        }
                        
                        // File: contracts/protocol/v1/oracles/P1MirrorOracle.sol
                        
                        /**
                         * @title P1MirrorOracle
                         * @author dYdX
                         *
                         * Oracle which mirrors an underlying oracle.
                         */
                        contract P1MirrorOracle is
                            Ownable,
                            I_MakerOracle
                        {
                            // ============ Events ============
                        
                            event LogMedianPrice(
                                uint256 val,
                                uint256 age
                            );
                        
                            event LogSetSigner(
                                address signer,
                                bool authorized
                            );
                        
                            event LogSetBar(
                                uint256 bar
                            );
                        
                            event LogSetReader(
                                address reader,
                                bool authorized
                            );
                        
                            // ============ Mutable Storage ============
                        
                            // The oracle price.
                            uint128 internal _VAL_;
                        
                            // The timestamp of the last oracle update.
                            uint32 public _AGE_;
                        
                            // The number of signers required to update the oracle price.
                            uint256 public _BAR_;
                        
                            // Authorized signers. Value is equal to 0 or 1.
                            mapping (address => uint256) public _ORCL_;
                        
                            // Addresses with permission to get the oracle price. Value is equal to 0 or 1.
                            mapping (address => uint256) _READERS_;
                        
                            // Mapping for at most 256 signers.
                            // Each signer is identified by the first byte of their address.
                            mapping (uint8 => address) public _SLOT_;
                        
                            // ============ Immutable Storage ============
                        
                            // The underlying oracle.
                            address public _ORACLE_;
                        
                            // ============ Constructor ============
                        
                            constructor(
                                address oracle
                            )
                                public
                            {
                                _ORACLE_ = oracle;
                            }
                        
                            // ============ Getter Functions ============
                        
                            /**
                             * @notice Returns the current price, and a boolean indicating whether the price is nonzero.
                             */
                            function peek()
                                external
                                view
                                returns (bytes32, bool)
                            {
                                require(
                                    _READERS_[msg.sender] == 1,
                                    "P1MirrorOracle#peek: Sender not authorized to get price"
                                );
                                uint256 val = _VAL_;
                                return (bytes32(val), val > 0);
                            }
                        
                            /**
                             * @notice Requires the price to be nonzero, and returns the current price.
                             */
                            function read()
                                external
                                view
                                returns (bytes32)
                            {
                                require(
                                    _READERS_[msg.sender] == 1,
                                    "P1MirrorOracle#read: Sender not authorized to get price"
                                );
                                uint256 val = _VAL_;
                                require(
                                    val > 0,
                                    "P1MirrorOracle#read: Price is zero"
                                );
                                return bytes32(val);
                            }
                        
                            /**
                             * @notice Returns the number of signers per poke.
                             */
                            function bar()
                                external
                                view
                                returns (uint256)
                            {
                                return _BAR_;
                            }
                        
                            /**
                             * @notice Returns the timetamp of the last update.
                             */
                            function age()
                                external
                                view
                                returns (uint32)
                            {
                                return _AGE_;
                            }
                        
                            /**
                             * @notice Returns 1 if the signer is authorized, and 0 otherwise.
                             */
                            function orcl(
                                address signer
                            )
                                external
                                view
                                returns (uint256)
                            {
                                return _ORCL_[signer];
                            }
                        
                            /**
                             * @notice Returns 1 if the address is authorized to read the oracle price, and 0 otherwise.
                             */
                            function bud(
                                address reader
                            )
                                external
                                view
                                returns (uint256)
                            {
                                return _READERS_[reader];
                            }
                        
                            /**
                             * @notice A mapping from the first byte of an authorized signer's address to the signer.
                             */
                            function slot(
                                uint8 signerId
                            )
                                external
                                view
                                returns (address)
                            {
                                return _SLOT_[signerId];
                            }
                        
                            /**
                             * @notice Check whether the list of signers and required number of signers match the underlying
                             *  oracle.
                             *
                             * @return A bitmap of the IDs of signers that need to be added to the mirror.
                             * @return A bitmap of the IDs of signers that need to be removed from the mirror.
                             * @return False if the required number of signers (“bar”) matches, and true otherwise.
                             */
                            function checkSynced()
                                external
                                view
                                returns (uint256, uint256, bool)
                            {
                                uint256 signersToAdd = 0;
                                uint256 signersToRemove = 0;
                                bool barNeedsUpdate = _BAR_ != I_MakerOracle(_ORACLE_).bar();
                        
                                // Note that `i` cannot be a uint8 since it is incremented to 256 at the end of the loop.
                                for (uint256 i = 0; i < 256; i++) {
                                    uint8 signerId = uint8(i);
                                    uint256 signerBit = uint256(1) << signerId;
                                    address ours = _SLOT_[signerId];
                                    address theirs = I_MakerOracle(_ORACLE_).slot(signerId);
                                    if (ours == address(0)) {
                                        if (theirs != address(0)) {
                                            signersToAdd = signersToAdd | signerBit;
                                        }
                                    } else {
                                        if (theirs == address(0)) {
                                            signersToRemove = signersToRemove | signerBit;
                                        } else if (ours != theirs) {
                                            signersToAdd = signersToAdd | signerBit;
                                            signersToRemove = signersToRemove | signerBit;
                                        }
                                    }
                                }
                        
                                return (signersToAdd, signersToRemove, barNeedsUpdate);
                            }
                        
                            // ============ State-Changing Functions ============
                        
                            /**
                             * @notice Send an array of signed messages to update the oracle value.
                             *  Must have exactly `_BAR_` number of messages.
                             */
                            function poke(
                                uint256[] calldata val_,
                                uint256[] calldata age_,
                                uint8[] calldata v,
                                bytes32[] calldata r,
                                bytes32[] calldata s
                            )
                                external
                            {
                                require(val_.length == _BAR_, "P1MirrorOracle#poke: Wrong number of messages");
                        
                                // Bitmap of signers, used to ensure that each message has a different signer.
                                uint256 bloom = 0;
                        
                                // Last message value, used to ensure messages are ordered by value.
                                uint256 last = 0;
                        
                                // Require that all messages are newer than the last oracle update.
                                uint256 zzz = _AGE_;
                        
                                for (uint256 i = 0; i < val_.length; i++) {
                                    uint256 val_i = val_[i];
                                    uint256 age_i = age_[i];
                        
                                    // Verify that the message comes from an authorized signer.
                                    address signer = recover(
                                        val_i,
                                        age_i,
                                        v[i],
                                        r[i],
                                        s[i]
                                    );
                                    require(_ORCL_[signer] == 1, "P1MirrorOracle#poke: Invalid signer");
                        
                                    // Verify that the message is newer than the last oracle update.
                                    require(age_i > zzz, "P1MirrorOracle#poke: Stale message");
                        
                                    // Verify that the messages are ordered by value.
                                    require(val_i >= last, "P1MirrorOracle#poke: Message out of order");
                                    last = val_i;
                        
                                    // Verify that each message has a different signer.
                                    // Each signer is identified by the first byte of their address.
                                    uint8 signerId = getSignerId(signer);
                                    uint256 signerBit = uint256(1) << signerId;
                                    require(bloom & signerBit == 0, "P1MirrorOracle#poke: Duplicate signer");
                                    bloom = bloom | signerBit;
                                }
                        
                                // Set the oracle value to the median (note that val_.length is always odd).
                                _VAL_ = uint128(val_[val_.length >> 1]);
                        
                                // Set the timestamp of the oracle update.
                                _AGE_ = uint32(block.timestamp);
                        
                                emit LogMedianPrice(_VAL_, _AGE_);
                            }
                        
                            /**
                             * @notice Authorize new signers. The signers must be authorized on the underlying oracle.
                             */
                            function lift(
                                address[] calldata signers
                            )
                                external
                            {
                                for (uint256 i = 0; i < signers.length; i++) {
                                    address signer = signers[i];
                                    require(
                                        I_MakerOracle(_ORACLE_).orcl(signer) == 1,
                                        "P1MirrorOracle#lift: Signer not authorized on underlying oracle"
                                    );
                        
                                    // orcl and slot must both be empty.
                                    // orcl is filled implies slot is filled, therefore slot is empty implies orcl is empty.
                                    // Assume that the underlying oracle ensures that the signer cannot be the zero address.
                                    uint8 signerId = getSignerId(signer);
                                    require(
                                        _SLOT_[signerId] == address(0),
                                        "P1MirrorOracle#lift: Signer already authorized"
                                    );
                        
                                    _ORCL_[signer] = 1;
                                    _SLOT_[signerId] = signer;
                        
                                    emit LogSetSigner(signer, true);
                                }
                            }
                        
                            /**
                             * @notice Unauthorize signers. The signers must NOT be authorized on the underlying oracle.
                             */
                            function drop(
                                address[] calldata signers
                            )
                                external
                            {
                                for (uint256 i = 0; i < signers.length; i++) {
                                    address signer = signers[i];
                                    require(
                                        I_MakerOracle(_ORACLE_).orcl(signer) == 0,
                                        "P1MirrorOracle#drop: Signer is authorized on underlying oracle"
                                    );
                        
                                    // orcl and slot must both be filled.
                                    // orcl is filled implies slot is filled.
                                    require(
                                        _ORCL_[signer] != 0,
                                        "P1MirrorOracle#drop: Signer is already not authorized"
                                    );
                        
                                    uint8 signerId = getSignerId(signer);
                                    _ORCL_[signer] = 0;
                                    _SLOT_[signerId] = address(0);
                        
                                    emit LogSetSigner(signer, false);
                                }
                            }
                        
                            /**
                             * @notice Sync `_BAR_` (the number of required signers) with the underyling oracle contract.
                             */
                            function setBar()
                                external
                            {
                                uint256 newBar = I_MakerOracle(_ORACLE_).bar();
                                _BAR_ = newBar;
                                emit LogSetBar(newBar);
                            }
                        
                            /**
                             * @notice Authorize an address to read the oracle price.
                             */
                            function kiss(
                                address reader
                            )
                                external
                                onlyOwner
                            {
                                _kiss(reader);
                            }
                        
                            /**
                             * @notice Unauthorize an address so it can no longer read the oracle price.
                             */
                            function diss(
                                address reader
                            )
                                external
                                onlyOwner
                            {
                                _diss(reader);
                            }
                        
                            /**
                             * @notice Authorize addresses to read the oracle price.
                             */
                            function kiss(
                                address[] calldata readers
                            )
                                external
                                onlyOwner
                            {
                                for (uint256 i = 0; i < readers.length; i++) {
                                    _kiss(readers[i]);
                                }
                            }
                        
                            /**
                             * @notice Unauthorize addresses so they can no longer read the oracle price.
                             */
                            function diss(
                                address[] calldata readers
                            )
                                external
                                onlyOwner
                            {
                                for (uint256 i = 0; i < readers.length; i++) {
                                    _diss(readers[i]);
                                }
                            }
                        
                            // ============ Internal Functions ============
                        
                            function wat()
                                internal
                                pure
                                returns (bytes32);
                        
                            function recover(
                                uint256 val_,
                                uint256 age_,
                                uint8 v,
                                bytes32 r,
                                bytes32 s
                            )
                                internal
                                pure
                                returns (address)
                            {
                                return ecrecover(
                                    keccak256(
                                        abi.encodePacked("\x19Ethereum Signed Message:\n32",
                                        keccak256(abi.encodePacked(val_, age_, wat())))
                                    ),
                                    v,
                                    r,
                                    s
                                );
                            }
                        
                            function getSignerId(
                                address signer
                            )
                                internal
                                pure
                                returns (uint8)
                            {
                                return uint8(uint256(signer) >> 152);
                            }
                        
                            function _kiss(
                                address reader
                            )
                                private
                            {
                                _READERS_[reader] = 1;
                                emit LogSetReader(reader, true);
                            }
                        
                            function _diss(
                                address reader
                            )
                                private
                            {
                                _READERS_[reader] = 0;
                                emit LogSetReader(reader, false);
                            }
                        }
                        
                        // File: contracts/protocol/v1/oracles/P1MirrorOracleETHUSD.sol
                        
                        /**
                         * @title P1MirrorOracleETHUSD
                         * @author dYdX
                         *
                         * Oracle which mirrors the ETHUSD oracle.
                         */
                        contract P1MirrorOracleETHUSD is
                            P1MirrorOracle
                        {
                            bytes32 public constant WAT = "ETHUSD";
                        
                            constructor(
                                address oracle
                            )
                                P1MirrorOracle(oracle)
                                public
                            {
                            }
                        
                            function wat()
                                internal
                                pure
                                returns (bytes32)
                            {
                                return WAT;
                            }
                        }

                        File 12 of 15: DoubleExponentInterestSetter
                        /**
                         *Submitted for verification at Etherscan.io on 2019-08-28
                        */
                        
                        /*
                        
                            Copyright 2019 dYdX Trading Inc.
                        
                            Licensed under the Apache License, Version 2.0 (the "License");
                            you may not use this file except in compliance with the License.
                            You may obtain a copy of the License at
                        
                            http://www.apache.org/licenses/LICENSE-2.0
                        
                            Unless required by applicable law or agreed to in writing, software
                            distributed under the License is distributed on an "AS IS" BASIS,
                            WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                            See the License for the specific language governing permissions and
                            limitations under the License.
                        
                        */
                        
                        pragma solidity 0.5.7;
                        pragma experimental ABIEncoderV2;
                        
                        // File: openzeppelin-solidity/contracts/math/SafeMath.sol
                        
                        /**
                         * @title SafeMath
                         * @dev Unsigned math operations with safety checks that revert on error
                         */
                        library SafeMath {
                            /**
                            * @dev Multiplies two unsigned integers, reverts on overflow.
                            */
                            function mul(uint256 a, uint256 b) internal pure returns (uint256) {
                                // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
                                // benefit is lost if 'b' is also tested.
                                // See: https://github.com/OpenZeppelin/openzeppelin-solidity/pull/522
                                if (a == 0) {
                                    return 0;
                                }
                        
                                uint256 c = a * b;
                                require(c / a == b);
                        
                                return c;
                            }
                        
                            /**
                            * @dev Integer division of two unsigned integers truncating the quotient, reverts on division by zero.
                            */
                            function div(uint256 a, uint256 b) internal pure returns (uint256) {
                                // Solidity only automatically asserts when dividing by 0
                                require(b > 0);
                                uint256 c = a / b;
                                // assert(a == b * c + a % b); // There is no case in which this doesn't hold
                        
                                return c;
                            }
                        
                            /**
                            * @dev Subtracts two unsigned integers, reverts on overflow (i.e. if subtrahend is greater than minuend).
                            */
                            function sub(uint256 a, uint256 b) internal pure returns (uint256) {
                                require(b <= a);
                                uint256 c = a - b;
                        
                                return c;
                            }
                        
                            /**
                            * @dev Adds two unsigned integers, reverts on overflow.
                            */
                            function add(uint256 a, uint256 b) internal pure returns (uint256) {
                                uint256 c = a + b;
                                require(c >= a);
                        
                                return c;
                            }
                        
                            /**
                            * @dev Divides two unsigned integers and returns the remainder (unsigned integer modulo),
                            * reverts when dividing by zero.
                            */
                            function mod(uint256 a, uint256 b) internal pure returns (uint256) {
                                require(b != 0);
                                return a % b;
                            }
                        }
                        
                        // File: contracts/protocol/lib/Require.sol
                        
                        /**
                         * @title Require
                         * @author dYdX
                         *
                         * Stringifies parameters to pretty-print revert messages. Costs more gas than regular require()
                         */
                        library Require {
                        
                            // ============ Constants ============
                        
                            uint256 constant ASCII_ZERO = 48; // '0'
                            uint256 constant ASCII_RELATIVE_ZERO = 87; // 'a' - 10
                            uint256 constant ASCII_LOWER_EX = 120; // 'x'
                            bytes2 constant COLON = 0x3a20; // ': '
                            bytes2 constant COMMA = 0x2c20; // ', '
                            bytes2 constant LPAREN = 0x203c; // ' <'
                            byte constant RPAREN = 0x3e; // '>'
                            uint256 constant FOUR_BIT_MASK = 0xf;
                        
                            // ============ Library Functions ============
                        
                            function that(
                                bool must,
                                bytes32 file,
                                bytes32 reason
                            )
                                internal
                                pure
                            {
                                if (!must) {
                                    revert(
                                        string(
                                            abi.encodePacked(
                                                stringify(file),
                                                COLON,
                                                stringify(reason)
                                            )
                                        )
                                    );
                                }
                            }
                        
                            function that(
                                bool must,
                                bytes32 file,
                                bytes32 reason,
                                uint256 payloadA
                            )
                                internal
                                pure
                            {
                                if (!must) {
                                    revert(
                                        string(
                                            abi.encodePacked(
                                                stringify(file),
                                                COLON,
                                                stringify(reason),
                                                LPAREN,
                                                stringify(payloadA),
                                                RPAREN
                                            )
                                        )
                                    );
                                }
                            }
                        
                            function that(
                                bool must,
                                bytes32 file,
                                bytes32 reason,
                                uint256 payloadA,
                                uint256 payloadB
                            )
                                internal
                                pure
                            {
                                if (!must) {
                                    revert(
                                        string(
                                            abi.encodePacked(
                                                stringify(file),
                                                COLON,
                                                stringify(reason),
                                                LPAREN,
                                                stringify(payloadA),
                                                COMMA,
                                                stringify(payloadB),
                                                RPAREN
                                            )
                                        )
                                    );
                                }
                            }
                        
                            function that(
                                bool must,
                                bytes32 file,
                                bytes32 reason,
                                address payloadA
                            )
                                internal
                                pure
                            {
                                if (!must) {
                                    revert(
                                        string(
                                            abi.encodePacked(
                                                stringify(file),
                                                COLON,
                                                stringify(reason),
                                                LPAREN,
                                                stringify(payloadA),
                                                RPAREN
                                            )
                                        )
                                    );
                                }
                            }
                        
                            function that(
                                bool must,
                                bytes32 file,
                                bytes32 reason,
                                address payloadA,
                                uint256 payloadB
                            )
                                internal
                                pure
                            {
                                if (!must) {
                                    revert(
                                        string(
                                            abi.encodePacked(
                                                stringify(file),
                                                COLON,
                                                stringify(reason),
                                                LPAREN,
                                                stringify(payloadA),
                                                COMMA,
                                                stringify(payloadB),
                                                RPAREN
                                            )
                                        )
                                    );
                                }
                            }
                        
                            function that(
                                bool must,
                                bytes32 file,
                                bytes32 reason,
                                address payloadA,
                                uint256 payloadB,
                                uint256 payloadC
                            )
                                internal
                                pure
                            {
                                if (!must) {
                                    revert(
                                        string(
                                            abi.encodePacked(
                                                stringify(file),
                                                COLON,
                                                stringify(reason),
                                                LPAREN,
                                                stringify(payloadA),
                                                COMMA,
                                                stringify(payloadB),
                                                COMMA,
                                                stringify(payloadC),
                                                RPAREN
                                            )
                                        )
                                    );
                                }
                            }
                        
                            // ============ Private Functions ============
                        
                            function stringify(
                                bytes32 input
                            )
                                private
                                pure
                                returns (bytes memory)
                            {
                                // put the input bytes into the result
                                bytes memory result = abi.encodePacked(input);
                        
                                // determine the length of the input by finding the location of the last non-zero byte
                                for (uint256 i = 32; i > 0; ) {
                                    // reverse-for-loops with unsigned integer
                                    /* solium-disable-next-line security/no-modify-for-iter-var */
                                    i--;
                        
                                    // find the last non-zero byte in order to determine the length
                                    if (result[i] != 0) {
                                        uint256 length = i + 1;
                        
                                        /* solium-disable-next-line security/no-inline-assembly */
                                        assembly {
                                            mstore(result, length) // r.length = length;
                                        }
                        
                                        return result;
                                    }
                                }
                        
                                // all bytes are zero
                                return new bytes(0);
                            }
                        
                            function stringify(
                                uint256 input
                            )
                                private
                                pure
                                returns (bytes memory)
                            {
                                if (input == 0) {
                                    return "0";
                                }
                        
                                // get the final string length
                                uint256 j = input;
                                uint256 length;
                                while (j != 0) {
                                    length++;
                                    j /= 10;
                                }
                        
                                // allocate the string
                                bytes memory bstr = new bytes(length);
                        
                                // populate the string starting with the least-significant character
                                j = input;
                                for (uint256 i = length; i > 0; ) {
                                    // reverse-for-loops with unsigned integer
                                    /* solium-disable-next-line security/no-modify-for-iter-var */
                                    i--;
                        
                                    // take last decimal digit
                                    bstr[i] = byte(uint8(ASCII_ZERO + (j % 10)));
                        
                                    // remove the last decimal digit
                                    j /= 10;
                                }
                        
                                return bstr;
                            }
                        
                            function stringify(
                                address input
                            )
                                private
                                pure
                                returns (bytes memory)
                            {
                                uint256 z = uint256(input);
                        
                                // addresses are "0x" followed by 20 bytes of data which take up 2 characters each
                                bytes memory result = new bytes(42);
                        
                                // populate the result with "0x"
                                result[0] = byte(uint8(ASCII_ZERO));
                                result[1] = byte(uint8(ASCII_LOWER_EX));
                        
                                // for each byte (starting from the lowest byte), populate the result with two characters
                                for (uint256 i = 0; i < 20; i++) {
                                    // each byte takes two characters
                                    uint256 shift = i * 2;
                        
                                    // populate the least-significant character
                                    result[41 - shift] = char(z & FOUR_BIT_MASK);
                                    z = z >> 4;
                        
                                    // populate the most-significant character
                                    result[40 - shift] = char(z & FOUR_BIT_MASK);
                                    z = z >> 4;
                                }
                        
                                return result;
                            }
                        
                            function char(
                                uint256 input
                            )
                                private
                                pure
                                returns (byte)
                            {
                                // return ASCII digit (0-9)
                                if (input < 10) {
                                    return byte(uint8(input + ASCII_ZERO));
                                }
                        
                                // return ASCII letter (a-f)
                                return byte(uint8(input + ASCII_RELATIVE_ZERO));
                            }
                        }
                        
                        // File: contracts/protocol/lib/Math.sol
                        
                        /**
                         * @title Math
                         * @author dYdX
                         *
                         * Library for non-standard Math functions
                         */
                        library Math {
                            using SafeMath for uint256;
                        
                            // ============ Constants ============
                        
                            bytes32 constant FILE = "Math";
                        
                            // ============ Library Functions ============
                        
                            /*
                             * Return target * (numerator / denominator).
                             */
                            function getPartial(
                                uint256 target,
                                uint256 numerator,
                                uint256 denominator
                            )
                                internal
                                pure
                                returns (uint256)
                            {
                                return target.mul(numerator).div(denominator);
                            }
                        
                            /*
                             * Return target * (numerator / denominator), but rounded up.
                             */
                            function getPartialRoundUp(
                                uint256 target,
                                uint256 numerator,
                                uint256 denominator
                            )
                                internal
                                pure
                                returns (uint256)
                            {
                                if (target == 0 || numerator == 0) {
                                    // SafeMath will check for zero denominator
                                    return SafeMath.div(0, denominator);
                                }
                                return target.mul(numerator).sub(1).div(denominator).add(1);
                            }
                        
                            function to128(
                                uint256 number
                            )
                                internal
                                pure
                                returns (uint128)
                            {
                                uint128 result = uint128(number);
                                Require.that(
                                    result == number,
                                    FILE,
                                    "Unsafe cast to uint128"
                                );
                                return result;
                            }
                        
                            function to96(
                                uint256 number
                            )
                                internal
                                pure
                                returns (uint96)
                            {
                                uint96 result = uint96(number);
                                Require.that(
                                    result == number,
                                    FILE,
                                    "Unsafe cast to uint96"
                                );
                                return result;
                            }
                        
                            function to32(
                                uint256 number
                            )
                                internal
                                pure
                                returns (uint32)
                            {
                                uint32 result = uint32(number);
                                Require.that(
                                    result == number,
                                    FILE,
                                    "Unsafe cast to uint32"
                                );
                                return result;
                            }
                        
                            function min(
                                uint256 a,
                                uint256 b
                            )
                                internal
                                pure
                                returns (uint256)
                            {
                                return a < b ? a : b;
                            }
                        
                            function max(
                                uint256 a,
                                uint256 b
                            )
                                internal
                                pure
                                returns (uint256)
                            {
                                return a > b ? a : b;
                            }
                        }
                        
                        // File: contracts/protocol/lib/Decimal.sol
                        
                        /**
                         * @title Decimal
                         * @author dYdX
                         *
                         * Library that defines a fixed-point number with 18 decimal places.
                         */
                        library Decimal {
                            using SafeMath for uint256;
                        
                            // ============ Constants ============
                        
                            uint256 constant BASE = 10**18;
                        
                            // ============ Structs ============
                        
                            struct D256 {
                                uint256 value;
                            }
                        
                            // ============ Functions ============
                        
                            function one()
                                internal
                                pure
                                returns (D256 memory)
                            {
                                return D256({ value: BASE });
                            }
                        
                            function onePlus(
                                D256 memory d
                            )
                                internal
                                pure
                                returns (D256 memory)
                            {
                                return D256({ value: d.value.add(BASE) });
                            }
                        
                            function mul(
                                uint256 target,
                                D256 memory d
                            )
                                internal
                                pure
                                returns (uint256)
                            {
                                return Math.getPartial(target, d.value, BASE);
                            }
                        
                            function div(
                                uint256 target,
                                D256 memory d
                            )
                                internal
                                pure
                                returns (uint256)
                            {
                                return Math.getPartial(target, BASE, d.value);
                            }
                        }
                        
                        // File: contracts/protocol/lib/Time.sol
                        
                        /**
                         * @title Time
                         * @author dYdX
                         *
                         * Library for dealing with time, assuming timestamps fit within 32 bits (valid until year 2106)
                         */
                        library Time {
                        
                            // ============ Library Functions ============
                        
                            function currentTime()
                                internal
                                view
                                returns (uint32)
                            {
                                return Math.to32(block.timestamp);
                            }
                        }
                        
                        // File: contracts/protocol/lib/Types.sol
                        
                        /**
                         * @title Types
                         * @author dYdX
                         *
                         * Library for interacting with the basic structs used in Solo
                         */
                        library Types {
                            using Math for uint256;
                        
                            // ============ AssetAmount ============
                        
                            enum AssetDenomination {
                                Wei, // the amount is denominated in wei
                                Par  // the amount is denominated in par
                            }
                        
                            enum AssetReference {
                                Delta, // the amount is given as a delta from the current value
                                Target // the amount is given as an exact number to end up at
                            }
                        
                            struct AssetAmount {
                                bool sign; // true if positive
                                AssetDenomination denomination;
                                AssetReference ref;
                                uint256 value;
                            }
                        
                            // ============ Par (Principal Amount) ============
                        
                            // Total borrow and supply values for a market
                            struct TotalPar {
                                uint128 borrow;
                                uint128 supply;
                            }
                        
                            // Individual principal amount for an account
                            struct Par {
                                bool sign; // true if positive
                                uint128 value;
                            }
                        
                            function zeroPar()
                                internal
                                pure
                                returns (Par memory)
                            {
                                return Par({
                                    sign: false,
                                    value: 0
                                });
                            }
                        
                            function sub(
                                Par memory a,
                                Par memory b
                            )
                                internal
                                pure
                                returns (Par memory)
                            {
                                return add(a, negative(b));
                            }
                        
                            function add(
                                Par memory a,
                                Par memory b
                            )
                                internal
                                pure
                                returns (Par memory)
                            {
                                Par memory result;
                                if (a.sign == b.sign) {
                                    result.sign = a.sign;
                                    result.value = SafeMath.add(a.value, b.value).to128();
                                } else {
                                    if (a.value >= b.value) {
                                        result.sign = a.sign;
                                        result.value = SafeMath.sub(a.value, b.value).to128();
                                    } else {
                                        result.sign = b.sign;
                                        result.value = SafeMath.sub(b.value, a.value).to128();
                                    }
                                }
                                return result;
                            }
                        
                            function equals(
                                Par memory a,
                                Par memory b
                            )
                                internal
                                pure
                                returns (bool)
                            {
                                if (a.value == b.value) {
                                    if (a.value == 0) {
                                        return true;
                                    }
                                    return a.sign == b.sign;
                                }
                                return false;
                            }
                        
                            function negative(
                                Par memory a
                            )
                                internal
                                pure
                                returns (Par memory)
                            {
                                return Par({
                                    sign: !a.sign,
                                    value: a.value
                                });
                            }
                        
                            function isNegative(
                                Par memory a
                            )
                                internal
                                pure
                                returns (bool)
                            {
                                return !a.sign && a.value > 0;
                            }
                        
                            function isPositive(
                                Par memory a
                            )
                                internal
                                pure
                                returns (bool)
                            {
                                return a.sign && a.value > 0;
                            }
                        
                            function isZero(
                                Par memory a
                            )
                                internal
                                pure
                                returns (bool)
                            {
                                return a.value == 0;
                            }
                        
                            // ============ Wei (Token Amount) ============
                        
                            // Individual token amount for an account
                            struct Wei {
                                bool sign; // true if positive
                                uint256 value;
                            }
                        
                            function zeroWei()
                                internal
                                pure
                                returns (Wei memory)
                            {
                                return Wei({
                                    sign: false,
                                    value: 0
                                });
                            }
                        
                            function sub(
                                Wei memory a,
                                Wei memory b
                            )
                                internal
                                pure
                                returns (Wei memory)
                            {
                                return add(a, negative(b));
                            }
                        
                            function add(
                                Wei memory a,
                                Wei memory b
                            )
                                internal
                                pure
                                returns (Wei memory)
                            {
                                Wei memory result;
                                if (a.sign == b.sign) {
                                    result.sign = a.sign;
                                    result.value = SafeMath.add(a.value, b.value);
                                } else {
                                    if (a.value >= b.value) {
                                        result.sign = a.sign;
                                        result.value = SafeMath.sub(a.value, b.value);
                                    } else {
                                        result.sign = b.sign;
                                        result.value = SafeMath.sub(b.value, a.value);
                                    }
                                }
                                return result;
                            }
                        
                            function equals(
                                Wei memory a,
                                Wei memory b
                            )
                                internal
                                pure
                                returns (bool)
                            {
                                if (a.value == b.value) {
                                    if (a.value == 0) {
                                        return true;
                                    }
                                    return a.sign == b.sign;
                                }
                                return false;
                            }
                        
                            function negative(
                                Wei memory a
                            )
                                internal
                                pure
                                returns (Wei memory)
                            {
                                return Wei({
                                    sign: !a.sign,
                                    value: a.value
                                });
                            }
                        
                            function isNegative(
                                Wei memory a
                            )
                                internal
                                pure
                                returns (bool)
                            {
                                return !a.sign && a.value > 0;
                            }
                        
                            function isPositive(
                                Wei memory a
                            )
                                internal
                                pure
                                returns (bool)
                            {
                                return a.sign && a.value > 0;
                            }
                        
                            function isZero(
                                Wei memory a
                            )
                                internal
                                pure
                                returns (bool)
                            {
                                return a.value == 0;
                            }
                        }
                        
                        // File: contracts/protocol/lib/Interest.sol
                        
                        /**
                         * @title Interest
                         * @author dYdX
                         *
                         * Library for managing the interest rate and interest indexes of Solo
                         */
                        library Interest {
                            using Math for uint256;
                            using SafeMath for uint256;
                        
                            // ============ Constants ============
                        
                            bytes32 constant FILE = "Interest";
                            uint64 constant BASE = 10**18;
                        
                            // ============ Structs ============
                        
                            struct Rate {
                                uint256 value;
                            }
                        
                            struct Index {
                                uint96 borrow;
                                uint96 supply;
                                uint32 lastUpdate;
                            }
                        
                            // ============ Library Functions ============
                        
                            /**
                             * Get a new market Index based on the old index and market interest rate.
                             * Calculate interest for borrowers by using the formula rate * time. Approximates
                             * continuously-compounded interest when called frequently, but is much more
                             * gas-efficient to calculate. For suppliers, the interest rate is adjusted by the earningsRate,
                             * then prorated the across all suppliers.
                             *
                             * @param  index         The old index for a market
                             * @param  rate          The current interest rate of the market
                             * @param  totalPar      The total supply and borrow par values of the market
                             * @param  earningsRate  The portion of the interest that is forwarded to the suppliers
                             * @return               The updated index for a market
                             */
                            function calculateNewIndex(
                                Index memory index,
                                Rate memory rate,
                                Types.TotalPar memory totalPar,
                                Decimal.D256 memory earningsRate
                            )
                                internal
                                view
                                returns (Index memory)
                            {
                                (
                                    Types.Wei memory supplyWei,
                                    Types.Wei memory borrowWei
                                ) = totalParToWei(totalPar, index);
                        
                                // get interest increase for borrowers
                                uint32 currentTime = Time.currentTime();
                                uint256 borrowInterest = rate.value.mul(uint256(currentTime).sub(index.lastUpdate));
                        
                                // get interest increase for suppliers
                                uint256 supplyInterest;
                                if (Types.isZero(supplyWei)) {
                                    supplyInterest = 0;
                                } else {
                                    supplyInterest = Decimal.mul(borrowInterest, earningsRate);
                                    if (borrowWei.value < supplyWei.value) {
                                        supplyInterest = Math.getPartial(supplyInterest, borrowWei.value, supplyWei.value);
                                    }
                                }
                                assert(supplyInterest <= borrowInterest);
                        
                                return Index({
                                    borrow: Math.getPartial(index.borrow, borrowInterest, BASE).add(index.borrow).to96(),
                                    supply: Math.getPartial(index.supply, supplyInterest, BASE).add(index.supply).to96(),
                                    lastUpdate: currentTime
                                });
                            }
                        
                            function newIndex()
                                internal
                                view
                                returns (Index memory)
                            {
                                return Index({
                                    borrow: BASE,
                                    supply: BASE,
                                    lastUpdate: Time.currentTime()
                                });
                            }
                        
                            /*
                             * Convert a principal amount to a token amount given an index.
                             */
                            function parToWei(
                                Types.Par memory input,
                                Index memory index
                            )
                                internal
                                pure
                                returns (Types.Wei memory)
                            {
                                uint256 inputValue = uint256(input.value);
                                if (input.sign) {
                                    return Types.Wei({
                                        sign: true,
                                        value: inputValue.getPartial(index.supply, BASE)
                                    });
                                } else {
                                    return Types.Wei({
                                        sign: false,
                                        value: inputValue.getPartialRoundUp(index.borrow, BASE)
                                    });
                                }
                            }
                        
                            /*
                             * Convert a token amount to a principal amount given an index.
                             */
                            function weiToPar(
                                Types.Wei memory input,
                                Index memory index
                            )
                                internal
                                pure
                                returns (Types.Par memory)
                            {
                                if (input.sign) {
                                    return Types.Par({
                                        sign: true,
                                        value: input.value.getPartial(BASE, index.supply).to128()
                                    });
                                } else {
                                    return Types.Par({
                                        sign: false,
                                        value: input.value.getPartialRoundUp(BASE, index.borrow).to128()
                                    });
                                }
                            }
                        
                            /*
                             * Convert the total supply and borrow principal amounts of a market to total supply and borrow
                             * token amounts.
                             */
                            function totalParToWei(
                                Types.TotalPar memory totalPar,
                                Index memory index
                            )
                                internal
                                pure
                                returns (Types.Wei memory, Types.Wei memory)
                            {
                                Types.Par memory supplyPar = Types.Par({
                                    sign: true,
                                    value: totalPar.supply
                                });
                                Types.Par memory borrowPar = Types.Par({
                                    sign: false,
                                    value: totalPar.borrow
                                });
                                Types.Wei memory supplyWei = parToWei(supplyPar, index);
                                Types.Wei memory borrowWei = parToWei(borrowPar, index);
                                return (supplyWei, borrowWei);
                            }
                        }
                        
                        // File: contracts/protocol/interfaces/IInterestSetter.sol
                        
                        /**
                         * @title IInterestSetter
                         * @author dYdX
                         *
                         * Interface that Interest Setters for Solo must implement in order to report interest rates.
                         */
                        interface IInterestSetter {
                        
                            // ============ Public Functions ============
                        
                            /**
                             * Get the interest rate of a token given some borrowed and supplied amounts
                             *
                             * @param  token        The address of the ERC20 token for the market
                             * @param  borrowWei    The total borrowed token amount for the market
                             * @param  supplyWei    The total supplied token amount for the market
                             * @return              The interest rate per second
                             */
                            function getInterestRate(
                                address token,
                                uint256 borrowWei,
                                uint256 supplyWei
                            )
                                external
                                view
                                returns (Interest.Rate memory);
                        }
                        
                        // File: contracts/external/interestsetters/DoubleExponentInterestSetter.sol
                        
                        /**
                         * @title DoubleExponentInterestSetter
                         * @author dYdX
                         *
                         * Interest setter that sets interest based on a polynomial of the usage percentage of the market.
                         * Interest = C_0 + C_1 * U^(2^0) + C_2 * U^(2^1) + C_3 * U^(2^2) ...
                         */
                        contract DoubleExponentInterestSetter is
                            IInterestSetter
                        {
                            using Math for uint256;
                            using SafeMath for uint256;
                        
                            // ============ Constants ============
                        
                            uint256 constant PERCENT = 100;
                        
                            uint256 constant BASE = 10 ** 18;
                        
                            uint256 constant SECONDS_IN_A_YEAR = 60 * 60 * 24 * 365;
                        
                            uint256 constant BYTE = 8;
                        
                            // ============ Structs ============
                        
                            struct PolyStorage {
                                uint128 maxAPR;
                                uint128 coefficients;
                            }
                        
                            // ============ Storage ============
                        
                            PolyStorage g_storage;
                        
                            // ============ Constructor ============
                        
                            constructor(
                                PolyStorage memory params
                            )
                                public
                            {
                                // verify that all coefficients add up to 100%
                                uint256 sumOfCoefficients = 0;
                                for (
                                    uint256 coefficients = params.coefficients;
                                    coefficients != 0;
                                    coefficients >>= BYTE
                                ) {
                                    sumOfCoefficients += coefficients % 256;
                                }
                                require(
                                    sumOfCoefficients == PERCENT,
                                    "Coefficients must sum to 100"
                                );
                        
                                // store the params
                                g_storage = params;
                            }
                        
                            // ============ Public Functions ============
                        
                            /**
                             * Get the interest rate given some borrowed and supplied amounts. The interest function is a
                             * polynomial function of the utilization (borrowWei / supplyWei) of the market.
                             *
                             *   - If borrowWei > supplyWei then the utilization is considered to be equal to 1.
                             *   - If both are zero, then the utilization is considered to be equal to 0.
                             *
                             * @return The interest rate per second (times 10 ** 18)
                             */
                            function getInterestRate(
                                address /* token */,
                                uint256 borrowWei,
                                uint256 supplyWei
                            )
                                external
                                view
                                returns (Interest.Rate memory)
                            {
                                if (borrowWei == 0) {
                                    return Interest.Rate({
                                        value: 0
                                    });
                                }
                        
                                PolyStorage memory s = g_storage;
                                uint256 maxAPR = s.maxAPR;
                        
                                if (borrowWei >= supplyWei) {
                                    return Interest.Rate({
                                        value: maxAPR / SECONDS_IN_A_YEAR
                                    });
                                }
                        
                                // process the first coefficient
                                uint256 coefficients = s.coefficients;
                                uint256 result = uint8(coefficients) * BASE;
                                coefficients >>= BYTE;
                        
                                // initialize polynomial as the utilization
                                // no safeDiv since supplyWei must be non-zero at this point
                                uint256 polynomial = BASE.mul(borrowWei) / supplyWei;
                        
                                // for each non-zero coefficient...
                                while (true) {
                                    // gets the lowest-order byte
                                    uint256 coefficient = uint256(uint8(coefficients));
                        
                                    // if non-zero, add to result
                                    if (coefficient != 0) {
                                        // no safeAdd since there are at most 16 coefficients
                                        // no safeMul since (coefficient < 256 && polynomial <= 10**18)
                                        result += coefficient * polynomial;
                        
                                        // break if this is the last non-zero coefficient
                                        if (coefficient == coefficients) {
                                            break;
                                        }
                                    }
                        
                                    // double the order of the polynomial term
                                    // no safeMul since polynomial <= 10^18
                                    // no safeDiv since the divisor is a non-zero constant
                                    polynomial = polynomial * polynomial / BASE;
                        
                                    // move to next coefficient
                                    coefficients >>= BYTE;
                                }
                        
                                // normalize the result
                                // no safeMul since result fits within 72 bits and maxAPR fits within 128 bits
                                // no safeDiv since the divisor is a non-zero constant
                                return Interest.Rate({
                                    value: result * maxAPR / (SECONDS_IN_A_YEAR * BASE * PERCENT)
                                });
                            }
                        
                            /**
                             * Get the maximum APR that this interestSetter will return. The actual APY may be higher
                             * depending on how often the interest is compounded.
                             *
                             * @return The maximum APR
                             */
                            function getMaxAPR()
                                external
                                view
                                returns (uint256)
                            {
                                return g_storage.maxAPR;
                            }
                        
                            /**
                             * Get all of the coefficients of the interest calculation, starting from the coefficient for
                             * the first-order utilization variable.
                             *
                             * @return The coefficients
                             */
                            function getCoefficients()
                                external
                                view
                                returns (uint256[] memory)
                            {
                                // allocate new array with maximum of 16 coefficients
                                uint256[] memory result = new uint256[](16);
                        
                                // add the coefficients to the array
                                uint256 numCoefficients = 0;
                                for (
                                    uint256 coefficients = g_storage.coefficients;
                                    coefficients != 0;
                                    coefficients >>= BYTE
                                ) {
                                    result[numCoefficients] = coefficients % 256;
                                    numCoefficients++;
                                }
                        
                                // modify result.length to match numCoefficients
                                /* solium-disable-next-line security/no-inline-assembly */
                                assembly {
                                    mstore(result, numCoefficients)
                                }
                        
                                return result;
                            }
                        }

                        File 13 of 15: UniswapV2Router02
                        // File: contracts/uniswapv2/interfaces/IUniswapV2Pair.sol
                        
                        pragma solidity >=0.5.0;
                        
                        interface IUniswapV2Pair {
                            event Approval(address indexed owner, address indexed spender, uint value);
                            event Transfer(address indexed from, address indexed to, uint value);
                        
                            function name() external pure returns (string memory);
                            function symbol() external pure returns (string memory);
                            function decimals() external pure returns (uint8);
                            function totalSupply() external view returns (uint);
                            function balanceOf(address owner) external view returns (uint);
                            function allowance(address owner, address spender) external view returns (uint);
                        
                            function approve(address spender, uint value) external returns (bool);
                            function transfer(address to, uint value) external returns (bool);
                            function transferFrom(address from, address to, uint value) external returns (bool);
                        
                            function DOMAIN_SEPARATOR() external view returns (bytes32);
                            function PERMIT_TYPEHASH() external pure returns (bytes32);
                            function nonces(address owner) external view returns (uint);
                        
                            function permit(address owner, address spender, uint value, uint deadline, uint8 v, bytes32 r, bytes32 s) external;
                        
                            event Mint(address indexed sender, uint amount0, uint amount1);
                            event Burn(address indexed sender, uint amount0, uint amount1, address indexed to);
                            event Swap(
                                address indexed sender,
                                uint amount0In,
                                uint amount1In,
                                uint amount0Out,
                                uint amount1Out,
                                address indexed to
                            );
                            event Sync(uint112 reserve0, uint112 reserve1);
                        
                            function MINIMUM_LIQUIDITY() external pure returns (uint);
                            function factory() external view returns (address);
                            function token0() external view returns (address);
                            function token1() external view returns (address);
                            function getReserves() external view returns (uint112 reserve0, uint112 reserve1, uint32 blockTimestampLast);
                            function price0CumulativeLast() external view returns (uint);
                            function price1CumulativeLast() external view returns (uint);
                            function kLast() external view returns (uint);
                        
                            function mint(address to) external returns (uint liquidity);
                            function burn(address to) external returns (uint amount0, uint amount1);
                            function swap(uint amount0Out, uint amount1Out, address to, bytes calldata data) external;
                            function skim(address to) external;
                            function sync() external;
                        
                            function initialize(address, address) external;
                        }
                        
                        // File: contracts/uniswapv2/libraries/SafeMath.sol
                        
                        pragma solidity =0.6.12;
                        
                        // a library for performing overflow-safe math, courtesy of DappHub (https://github.com/dapphub/ds-math)
                        
                        library SafeMathUniswap {
                            function add(uint x, uint y) internal pure returns (uint z) {
                                require((z = x + y) >= x, 'ds-math-add-overflow');
                            }
                        
                            function sub(uint x, uint y) internal pure returns (uint z) {
                                require((z = x - y) <= x, 'ds-math-sub-underflow');
                            }
                        
                            function mul(uint x, uint y) internal pure returns (uint z) {
                                require(y == 0 || (z = x * y) / y == x, 'ds-math-mul-overflow');
                            }
                        }
                        
                        // File: contracts/uniswapv2/libraries/UniswapV2Library.sol
                        
                        pragma solidity >=0.5.0;
                        
                        
                        
                        library UniswapV2Library {
                            using SafeMathUniswap for uint;
                        
                            // returns sorted token addresses, used to handle return values from pairs sorted in this order
                            function sortTokens(address tokenA, address tokenB) internal pure returns (address token0, address token1) {
                                require(tokenA != tokenB, 'UniswapV2Library: IDENTICAL_ADDRESSES');
                                (token0, token1) = tokenA < tokenB ? (tokenA, tokenB) : (tokenB, tokenA);
                                require(token0 != address(0), 'UniswapV2Library: ZERO_ADDRESS');
                            }
                        
                            // calculates the CREATE2 address for a pair without making any external calls
                            function pairFor(address factory, address tokenA, address tokenB) internal pure returns (address pair) {
                                (address token0, address token1) = sortTokens(tokenA, tokenB);
                                pair = address(uint(keccak256(abi.encodePacked(
                                        hex'ff',
                                        factory,
                                        keccak256(abi.encodePacked(token0, token1)),
                                        hex'e18a34eb0e04b04f7a0ac29a6e80748dca96319b42c54d679cb821dca90c6303' // init code hash
                                    ))));
                            }
                        
                            // fetches and sorts the reserves for a pair
                            function getReserves(address factory, address tokenA, address tokenB) internal view returns (uint reserveA, uint reserveB) {
                                (address token0,) = sortTokens(tokenA, tokenB);
                                (uint reserve0, uint reserve1,) = IUniswapV2Pair(pairFor(factory, tokenA, tokenB)).getReserves();
                                (reserveA, reserveB) = tokenA == token0 ? (reserve0, reserve1) : (reserve1, reserve0);
                            }
                        
                            // given some amount of an asset and pair reserves, returns an equivalent amount of the other asset
                            function quote(uint amountA, uint reserveA, uint reserveB) internal pure returns (uint amountB) {
                                require(amountA > 0, 'UniswapV2Library: INSUFFICIENT_AMOUNT');
                                require(reserveA > 0 && reserveB > 0, 'UniswapV2Library: INSUFFICIENT_LIQUIDITY');
                                amountB = amountA.mul(reserveB) / reserveA;
                            }
                        
                            // given an input amount of an asset and pair reserves, returns the maximum output amount of the other asset
                            function getAmountOut(uint amountIn, uint reserveIn, uint reserveOut) internal pure returns (uint amountOut) {
                                require(amountIn > 0, 'UniswapV2Library: INSUFFICIENT_INPUT_AMOUNT');
                                require(reserveIn > 0 && reserveOut > 0, 'UniswapV2Library: INSUFFICIENT_LIQUIDITY');
                                uint amountInWithFee = amountIn.mul(997);
                                uint numerator = amountInWithFee.mul(reserveOut);
                                uint denominator = reserveIn.mul(1000).add(amountInWithFee);
                                amountOut = numerator / denominator;
                            }
                        
                            // given an output amount of an asset and pair reserves, returns a required input amount of the other asset
                            function getAmountIn(uint amountOut, uint reserveIn, uint reserveOut) internal pure returns (uint amountIn) {
                                require(amountOut > 0, 'UniswapV2Library: INSUFFICIENT_OUTPUT_AMOUNT');
                                require(reserveIn > 0 && reserveOut > 0, 'UniswapV2Library: INSUFFICIENT_LIQUIDITY');
                                uint numerator = reserveIn.mul(amountOut).mul(1000);
                                uint denominator = reserveOut.sub(amountOut).mul(997);
                                amountIn = (numerator / denominator).add(1);
                            }
                        
                            // performs chained getAmountOut calculations on any number of pairs
                            function getAmountsOut(address factory, uint amountIn, address[] memory path) internal view returns (uint[] memory amounts) {
                                require(path.length >= 2, 'UniswapV2Library: INVALID_PATH');
                                amounts = new uint[](path.length);
                                amounts[0] = amountIn;
                                for (uint i; i < path.length - 1; i++) {
                                    (uint reserveIn, uint reserveOut) = getReserves(factory, path[i], path[i + 1]);
                                    amounts[i + 1] = getAmountOut(amounts[i], reserveIn, reserveOut);
                                }
                            }
                        
                            // performs chained getAmountIn calculations on any number of pairs
                            function getAmountsIn(address factory, uint amountOut, address[] memory path) internal view returns (uint[] memory amounts) {
                                require(path.length >= 2, 'UniswapV2Library: INVALID_PATH');
                                amounts = new uint[](path.length);
                                amounts[amounts.length - 1] = amountOut;
                                for (uint i = path.length - 1; i > 0; i--) {
                                    (uint reserveIn, uint reserveOut) = getReserves(factory, path[i - 1], path[i]);
                                    amounts[i - 1] = getAmountIn(amounts[i], reserveIn, reserveOut);
                                }
                            }
                        }
                        
                        // File: contracts/uniswapv2/libraries/TransferHelper.sol
                        
                        // SPDX-License-Identifier: GPL-3.0-or-later
                        
                        pragma solidity >=0.6.0;
                        
                        // helper methods for interacting with ERC20 tokens and sending ETH that do not consistently return true/false
                        library TransferHelper {
                            function safeApprove(address token, address to, uint value) internal {
                                // bytes4(keccak256(bytes('approve(address,uint256)')));
                                (bool success, bytes memory data) = token.call(abi.encodeWithSelector(0x095ea7b3, to, value));
                                require(success && (data.length == 0 || abi.decode(data, (bool))), 'TransferHelper: APPROVE_FAILED');
                            }
                        
                            function safeTransfer(address token, address to, uint value) internal {
                                // bytes4(keccak256(bytes('transfer(address,uint256)')));
                                (bool success, bytes memory data) = token.call(abi.encodeWithSelector(0xa9059cbb, to, value));
                                require(success && (data.length == 0 || abi.decode(data, (bool))), 'TransferHelper: TRANSFER_FAILED');
                            }
                        
                            function safeTransferFrom(address token, address from, address to, uint value) internal {
                                // bytes4(keccak256(bytes('transferFrom(address,address,uint256)')));
                                (bool success, bytes memory data) = token.call(abi.encodeWithSelector(0x23b872dd, from, to, value));
                                require(success && (data.length == 0 || abi.decode(data, (bool))), 'TransferHelper: TRANSFER_FROM_FAILED');
                            }
                        
                            function safeTransferETH(address to, uint value) internal {
                                (bool success,) = to.call{value:value}(new bytes(0));
                                require(success, 'TransferHelper: ETH_TRANSFER_FAILED');
                            }
                        }
                        
                        // File: contracts/uniswapv2/interfaces/IUniswapV2Router01.sol
                        
                        pragma solidity >=0.6.2;
                        
                        interface IUniswapV2Router01 {
                            function factory() external pure returns (address);
                            function WETH() external pure returns (address);
                        
                            function addLiquidity(
                                address tokenA,
                                address tokenB,
                                uint amountADesired,
                                uint amountBDesired,
                                uint amountAMin,
                                uint amountBMin,
                                address to,
                                uint deadline
                            ) external returns (uint amountA, uint amountB, uint liquidity);
                            function addLiquidityETH(
                                address token,
                                uint amountTokenDesired,
                                uint amountTokenMin,
                                uint amountETHMin,
                                address to,
                                uint deadline
                            ) external payable returns (uint amountToken, uint amountETH, uint liquidity);
                            function removeLiquidity(
                                address tokenA,
                                address tokenB,
                                uint liquidity,
                                uint amountAMin,
                                uint amountBMin,
                                address to,
                                uint deadline
                            ) external returns (uint amountA, uint amountB);
                            function removeLiquidityETH(
                                address token,
                                uint liquidity,
                                uint amountTokenMin,
                                uint amountETHMin,
                                address to,
                                uint deadline
                            ) external returns (uint amountToken, uint amountETH);
                            function removeLiquidityWithPermit(
                                address tokenA,
                                address tokenB,
                                uint liquidity,
                                uint amountAMin,
                                uint amountBMin,
                                address to,
                                uint deadline,
                                bool approveMax, uint8 v, bytes32 r, bytes32 s
                            ) external returns (uint amountA, uint amountB);
                            function removeLiquidityETHWithPermit(
                                address token,
                                uint liquidity,
                                uint amountTokenMin,
                                uint amountETHMin,
                                address to,
                                uint deadline,
                                bool approveMax, uint8 v, bytes32 r, bytes32 s
                            ) external returns (uint amountToken, uint amountETH);
                            function swapExactTokensForTokens(
                                uint amountIn,
                                uint amountOutMin,
                                address[] calldata path,
                                address to,
                                uint deadline
                            ) external returns (uint[] memory amounts);
                            function swapTokensForExactTokens(
                                uint amountOut,
                                uint amountInMax,
                                address[] calldata path,
                                address to,
                                uint deadline
                            ) external returns (uint[] memory amounts);
                            function swapExactETHForTokens(uint amountOutMin, address[] calldata path, address to, uint deadline)
                                external
                                payable
                                returns (uint[] memory amounts);
                            function swapTokensForExactETH(uint amountOut, uint amountInMax, address[] calldata path, address to, uint deadline)
                                external
                                returns (uint[] memory amounts);
                            function swapExactTokensForETH(uint amountIn, uint amountOutMin, address[] calldata path, address to, uint deadline)
                                external
                                returns (uint[] memory amounts);
                            function swapETHForExactTokens(uint amountOut, address[] calldata path, address to, uint deadline)
                                external
                                payable
                                returns (uint[] memory amounts);
                        
                            function quote(uint amountA, uint reserveA, uint reserveB) external pure returns (uint amountB);
                            function getAmountOut(uint amountIn, uint reserveIn, uint reserveOut) external pure returns (uint amountOut);
                            function getAmountIn(uint amountOut, uint reserveIn, uint reserveOut) external pure returns (uint amountIn);
                            function getAmountsOut(uint amountIn, address[] calldata path) external view returns (uint[] memory amounts);
                            function getAmountsIn(uint amountOut, address[] calldata path) external view returns (uint[] memory amounts);
                        }
                        
                        // File: contracts/uniswapv2/interfaces/IUniswapV2Router02.sol
                        
                        pragma solidity >=0.6.2;
                        
                        
                        interface IUniswapV2Router02 is IUniswapV2Router01 {
                            function removeLiquidityETHSupportingFeeOnTransferTokens(
                                address token,
                                uint liquidity,
                                uint amountTokenMin,
                                uint amountETHMin,
                                address to,
                                uint deadline
                            ) external returns (uint amountETH);
                            function removeLiquidityETHWithPermitSupportingFeeOnTransferTokens(
                                address token,
                                uint liquidity,
                                uint amountTokenMin,
                                uint amountETHMin,
                                address to,
                                uint deadline,
                                bool approveMax, uint8 v, bytes32 r, bytes32 s
                            ) external returns (uint amountETH);
                        
                            function swapExactTokensForTokensSupportingFeeOnTransferTokens(
                                uint amountIn,
                                uint amountOutMin,
                                address[] calldata path,
                                address to,
                                uint deadline
                            ) external;
                            function swapExactETHForTokensSupportingFeeOnTransferTokens(
                                uint amountOutMin,
                                address[] calldata path,
                                address to,
                                uint deadline
                            ) external payable;
                            function swapExactTokensForETHSupportingFeeOnTransferTokens(
                                uint amountIn,
                                uint amountOutMin,
                                address[] calldata path,
                                address to,
                                uint deadline
                            ) external;
                        }
                        
                        // File: contracts/uniswapv2/interfaces/IUniswapV2Factory.sol
                        
                        pragma solidity >=0.5.0;
                        
                        interface IUniswapV2Factory {
                            event PairCreated(address indexed token0, address indexed token1, address pair, uint);
                        
                            function feeTo() external view returns (address);
                            function feeToSetter() external view returns (address);
                            function migrator() external view returns (address);
                        
                            function getPair(address tokenA, address tokenB) external view returns (address pair);
                            function allPairs(uint) external view returns (address pair);
                            function allPairsLength() external view returns (uint);
                        
                            function createPair(address tokenA, address tokenB) external returns (address pair);
                        
                            function setFeeTo(address) external;
                            function setFeeToSetter(address) external;
                            function setMigrator(address) external;
                        }
                        
                        // File: contracts/uniswapv2/interfaces/IERC20.sol
                        
                        pragma solidity >=0.5.0;
                        
                        interface IERC20Uniswap {
                            event Approval(address indexed owner, address indexed spender, uint value);
                            event Transfer(address indexed from, address indexed to, uint value);
                        
                            function name() external view returns (string memory);
                            function symbol() external view returns (string memory);
                            function decimals() external view returns (uint8);
                            function totalSupply() external view returns (uint);
                            function balanceOf(address owner) external view returns (uint);
                            function allowance(address owner, address spender) external view returns (uint);
                        
                            function approve(address spender, uint value) external returns (bool);
                            function transfer(address to, uint value) external returns (bool);
                            function transferFrom(address from, address to, uint value) external returns (bool);
                        }
                        
                        // File: contracts/uniswapv2/interfaces/IWETH.sol
                        
                        pragma solidity >=0.5.0;
                        
                        interface IWETH {
                            function deposit() external payable;
                            function transfer(address to, uint value) external returns (bool);
                            function withdraw(uint) external;
                        }
                        
                        // File: contracts/uniswapv2/UniswapV2Router02.sol
                        
                        pragma solidity =0.6.12;
                        
                        
                        
                        
                        
                        
                        
                        
                        contract UniswapV2Router02 is IUniswapV2Router02 {
                            using SafeMathUniswap for uint;
                        
                            address public immutable override factory;
                            address public immutable override WETH;
                        
                            modifier ensure(uint deadline) {
                                require(deadline >= block.timestamp, 'UniswapV2Router: EXPIRED');
                                _;
                            }
                        
                            constructor(address _factory, address _WETH) public {
                                factory = _factory;
                                WETH = _WETH;
                            }
                        
                            receive() external payable {
                                assert(msg.sender == WETH); // only accept ETH via fallback from the WETH contract
                            }
                        
                            // **** ADD LIQUIDITY ****
                            function _addLiquidity(
                                address tokenA,
                                address tokenB,
                                uint amountADesired,
                                uint amountBDesired,
                                uint amountAMin,
                                uint amountBMin
                            ) internal virtual returns (uint amountA, uint amountB) {
                                // create the pair if it doesn't exist yet
                                if (IUniswapV2Factory(factory).getPair(tokenA, tokenB) == address(0)) {
                                    IUniswapV2Factory(factory).createPair(tokenA, tokenB);
                                }
                                (uint reserveA, uint reserveB) = UniswapV2Library.getReserves(factory, tokenA, tokenB);
                                if (reserveA == 0 && reserveB == 0) {
                                    (amountA, amountB) = (amountADesired, amountBDesired);
                                } else {
                                    uint amountBOptimal = UniswapV2Library.quote(amountADesired, reserveA, reserveB);
                                    if (amountBOptimal <= amountBDesired) {
                                        require(amountBOptimal >= amountBMin, 'UniswapV2Router: INSUFFICIENT_B_AMOUNT');
                                        (amountA, amountB) = (amountADesired, amountBOptimal);
                                    } else {
                                        uint amountAOptimal = UniswapV2Library.quote(amountBDesired, reserveB, reserveA);
                                        assert(amountAOptimal <= amountADesired);
                                        require(amountAOptimal >= amountAMin, 'UniswapV2Router: INSUFFICIENT_A_AMOUNT');
                                        (amountA, amountB) = (amountAOptimal, amountBDesired);
                                    }
                                }
                            }
                            function addLiquidity(
                                address tokenA,
                                address tokenB,
                                uint amountADesired,
                                uint amountBDesired,
                                uint amountAMin,
                                uint amountBMin,
                                address to,
                                uint deadline
                            ) external virtual override ensure(deadline) returns (uint amountA, uint amountB, uint liquidity) {
                                (amountA, amountB) = _addLiquidity(tokenA, tokenB, amountADesired, amountBDesired, amountAMin, amountBMin);
                                address pair = UniswapV2Library.pairFor(factory, tokenA, tokenB);
                                TransferHelper.safeTransferFrom(tokenA, msg.sender, pair, amountA);
                                TransferHelper.safeTransferFrom(tokenB, msg.sender, pair, amountB);
                                liquidity = IUniswapV2Pair(pair).mint(to);
                            }
                            function addLiquidityETH(
                                address token,
                                uint amountTokenDesired,
                                uint amountTokenMin,
                                uint amountETHMin,
                                address to,
                                uint deadline
                            ) external virtual override payable ensure(deadline) returns (uint amountToken, uint amountETH, uint liquidity) {
                                (amountToken, amountETH) = _addLiquidity(
                                    token,
                                    WETH,
                                    amountTokenDesired,
                                    msg.value,
                                    amountTokenMin,
                                    amountETHMin
                                );
                                address pair = UniswapV2Library.pairFor(factory, token, WETH);
                                TransferHelper.safeTransferFrom(token, msg.sender, pair, amountToken);
                                IWETH(WETH).deposit{value: amountETH}();
                                assert(IWETH(WETH).transfer(pair, amountETH));
                                liquidity = IUniswapV2Pair(pair).mint(to);
                                // refund dust eth, if any
                                if (msg.value > amountETH) TransferHelper.safeTransferETH(msg.sender, msg.value - amountETH);
                            }
                        
                            // **** REMOVE LIQUIDITY ****
                            function removeLiquidity(
                                address tokenA,
                                address tokenB,
                                uint liquidity,
                                uint amountAMin,
                                uint amountBMin,
                                address to,
                                uint deadline
                            ) public virtual override ensure(deadline) returns (uint amountA, uint amountB) {
                                address pair = UniswapV2Library.pairFor(factory, tokenA, tokenB);
                                IUniswapV2Pair(pair).transferFrom(msg.sender, pair, liquidity); // send liquidity to pair
                                (uint amount0, uint amount1) = IUniswapV2Pair(pair).burn(to);
                                (address token0,) = UniswapV2Library.sortTokens(tokenA, tokenB);
                                (amountA, amountB) = tokenA == token0 ? (amount0, amount1) : (amount1, amount0);
                                require(amountA >= amountAMin, 'UniswapV2Router: INSUFFICIENT_A_AMOUNT');
                                require(amountB >= amountBMin, 'UniswapV2Router: INSUFFICIENT_B_AMOUNT');
                            }
                            function removeLiquidityETH(
                                address token,
                                uint liquidity,
                                uint amountTokenMin,
                                uint amountETHMin,
                                address to,
                                uint deadline
                            ) public virtual override ensure(deadline) returns (uint amountToken, uint amountETH) {
                                (amountToken, amountETH) = removeLiquidity(
                                    token,
                                    WETH,
                                    liquidity,
                                    amountTokenMin,
                                    amountETHMin,
                                    address(this),
                                    deadline
                                );
                                TransferHelper.safeTransfer(token, to, amountToken);
                                IWETH(WETH).withdraw(amountETH);
                                TransferHelper.safeTransferETH(to, amountETH);
                            }
                            function removeLiquidityWithPermit(
                                address tokenA,
                                address tokenB,
                                uint liquidity,
                                uint amountAMin,
                                uint amountBMin,
                                address to,
                                uint deadline,
                                bool approveMax, uint8 v, bytes32 r, bytes32 s
                            ) external virtual override returns (uint amountA, uint amountB) {
                                address pair = UniswapV2Library.pairFor(factory, tokenA, tokenB);
                                uint value = approveMax ? uint(-1) : liquidity;
                                IUniswapV2Pair(pair).permit(msg.sender, address(this), value, deadline, v, r, s);
                                (amountA, amountB) = removeLiquidity(tokenA, tokenB, liquidity, amountAMin, amountBMin, to, deadline);
                            }
                            function removeLiquidityETHWithPermit(
                                address token,
                                uint liquidity,
                                uint amountTokenMin,
                                uint amountETHMin,
                                address to,
                                uint deadline,
                                bool approveMax, uint8 v, bytes32 r, bytes32 s
                            ) external virtual override returns (uint amountToken, uint amountETH) {
                                address pair = UniswapV2Library.pairFor(factory, token, WETH);
                                uint value = approveMax ? uint(-1) : liquidity;
                                IUniswapV2Pair(pair).permit(msg.sender, address(this), value, deadline, v, r, s);
                                (amountToken, amountETH) = removeLiquidityETH(token, liquidity, amountTokenMin, amountETHMin, to, deadline);
                            }
                        
                            // **** REMOVE LIQUIDITY (supporting fee-on-transfer tokens) ****
                            function removeLiquidityETHSupportingFeeOnTransferTokens(
                                address token,
                                uint liquidity,
                                uint amountTokenMin,
                                uint amountETHMin,
                                address to,
                                uint deadline
                            ) public virtual override ensure(deadline) returns (uint amountETH) {
                                (, amountETH) = removeLiquidity(
                                    token,
                                    WETH,
                                    liquidity,
                                    amountTokenMin,
                                    amountETHMin,
                                    address(this),
                                    deadline
                                );
                                TransferHelper.safeTransfer(token, to, IERC20Uniswap(token).balanceOf(address(this)));
                                IWETH(WETH).withdraw(amountETH);
                                TransferHelper.safeTransferETH(to, amountETH);
                            }
                            function removeLiquidityETHWithPermitSupportingFeeOnTransferTokens(
                                address token,
                                uint liquidity,
                                uint amountTokenMin,
                                uint amountETHMin,
                                address to,
                                uint deadline,
                                bool approveMax, uint8 v, bytes32 r, bytes32 s
                            ) external virtual override returns (uint amountETH) {
                                address pair = UniswapV2Library.pairFor(factory, token, WETH);
                                uint value = approveMax ? uint(-1) : liquidity;
                                IUniswapV2Pair(pair).permit(msg.sender, address(this), value, deadline, v, r, s);
                                amountETH = removeLiquidityETHSupportingFeeOnTransferTokens(
                                    token, liquidity, amountTokenMin, amountETHMin, to, deadline
                                );
                            }
                        
                            // **** SWAP ****
                            // requires the initial amount to have already been sent to the first pair
                            function _swap(uint[] memory amounts, address[] memory path, address _to) internal virtual {
                                for (uint i; i < path.length - 1; i++) {
                                    (address input, address output) = (path[i], path[i + 1]);
                                    (address token0,) = UniswapV2Library.sortTokens(input, output);
                                    uint amountOut = amounts[i + 1];
                                    (uint amount0Out, uint amount1Out) = input == token0 ? (uint(0), amountOut) : (amountOut, uint(0));
                                    address to = i < path.length - 2 ? UniswapV2Library.pairFor(factory, output, path[i + 2]) : _to;
                                    IUniswapV2Pair(UniswapV2Library.pairFor(factory, input, output)).swap(
                                        amount0Out, amount1Out, to, new bytes(0)
                                    );
                                }
                            }
                            function swapExactTokensForTokens(
                                uint amountIn,
                                uint amountOutMin,
                                address[] calldata path,
                                address to,
                                uint deadline
                            ) external virtual override ensure(deadline) returns (uint[] memory amounts) {
                                amounts = UniswapV2Library.getAmountsOut(factory, amountIn, path);
                                require(amounts[amounts.length - 1] >= amountOutMin, 'UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT');
                                TransferHelper.safeTransferFrom(
                                    path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]
                                );
                                _swap(amounts, path, to);
                            }
                            function swapTokensForExactTokens(
                                uint amountOut,
                                uint amountInMax,
                                address[] calldata path,
                                address to,
                                uint deadline
                            ) external virtual override ensure(deadline) returns (uint[] memory amounts) {
                                amounts = UniswapV2Library.getAmountsIn(factory, amountOut, path);
                                require(amounts[0] <= amountInMax, 'UniswapV2Router: EXCESSIVE_INPUT_AMOUNT');
                                TransferHelper.safeTransferFrom(
                                    path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]
                                );
                                _swap(amounts, path, to);
                            }
                            function swapExactETHForTokens(uint amountOutMin, address[] calldata path, address to, uint deadline)
                                external
                                virtual
                                override
                                payable
                                ensure(deadline)
                                returns (uint[] memory amounts)
                            {
                                require(path[0] == WETH, 'UniswapV2Router: INVALID_PATH');
                                amounts = UniswapV2Library.getAmountsOut(factory, msg.value, path);
                                require(amounts[amounts.length - 1] >= amountOutMin, 'UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT');
                                IWETH(WETH).deposit{value: amounts[0]}();
                                assert(IWETH(WETH).transfer(UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]));
                                _swap(amounts, path, to);
                            }
                            function swapTokensForExactETH(uint amountOut, uint amountInMax, address[] calldata path, address to, uint deadline)
                                external
                                virtual
                                override
                                ensure(deadline)
                                returns (uint[] memory amounts)
                            {
                                require(path[path.length - 1] == WETH, 'UniswapV2Router: INVALID_PATH');
                                amounts = UniswapV2Library.getAmountsIn(factory, amountOut, path);
                                require(amounts[0] <= amountInMax, 'UniswapV2Router: EXCESSIVE_INPUT_AMOUNT');
                                TransferHelper.safeTransferFrom(
                                    path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]
                                );
                                _swap(amounts, path, address(this));
                                IWETH(WETH).withdraw(amounts[amounts.length - 1]);
                                TransferHelper.safeTransferETH(to, amounts[amounts.length - 1]);
                            }
                            function swapExactTokensForETH(uint amountIn, uint amountOutMin, address[] calldata path, address to, uint deadline)
                                external
                                virtual
                                override
                                ensure(deadline)
                                returns (uint[] memory amounts)
                            {
                                require(path[path.length - 1] == WETH, 'UniswapV2Router: INVALID_PATH');
                                amounts = UniswapV2Library.getAmountsOut(factory, amountIn, path);
                                require(amounts[amounts.length - 1] >= amountOutMin, 'UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT');
                                TransferHelper.safeTransferFrom(
                                    path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]
                                );
                                _swap(amounts, path, address(this));
                                IWETH(WETH).withdraw(amounts[amounts.length - 1]);
                                TransferHelper.safeTransferETH(to, amounts[amounts.length - 1]);
                            }
                            function swapETHForExactTokens(uint amountOut, address[] calldata path, address to, uint deadline)
                                external
                                virtual
                                override
                                payable
                                ensure(deadline)
                                returns (uint[] memory amounts)
                            {
                                require(path[0] == WETH, 'UniswapV2Router: INVALID_PATH');
                                amounts = UniswapV2Library.getAmountsIn(factory, amountOut, path);
                                require(amounts[0] <= msg.value, 'UniswapV2Router: EXCESSIVE_INPUT_AMOUNT');
                                IWETH(WETH).deposit{value: amounts[0]}();
                                assert(IWETH(WETH).transfer(UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]));
                                _swap(amounts, path, to);
                                // refund dust eth, if any
                                if (msg.value > amounts[0]) TransferHelper.safeTransferETH(msg.sender, msg.value - amounts[0]);
                            }
                        
                            // **** SWAP (supporting fee-on-transfer tokens) ****
                            // requires the initial amount to have already been sent to the first pair
                            function _swapSupportingFeeOnTransferTokens(address[] memory path, address _to) internal virtual {
                                for (uint i; i < path.length - 1; i++) {
                                    (address input, address output) = (path[i], path[i + 1]);
                                    (address token0,) = UniswapV2Library.sortTokens(input, output);
                                    IUniswapV2Pair pair = IUniswapV2Pair(UniswapV2Library.pairFor(factory, input, output));
                                    uint amountInput;
                                    uint amountOutput;
                                    { // scope to avoid stack too deep errors
                                    (uint reserve0, uint reserve1,) = pair.getReserves();
                                    (uint reserveInput, uint reserveOutput) = input == token0 ? (reserve0, reserve1) : (reserve1, reserve0);
                                    amountInput = IERC20Uniswap(input).balanceOf(address(pair)).sub(reserveInput);
                                    amountOutput = UniswapV2Library.getAmountOut(amountInput, reserveInput, reserveOutput);
                                    }
                                    (uint amount0Out, uint amount1Out) = input == token0 ? (uint(0), amountOutput) : (amountOutput, uint(0));
                                    address to = i < path.length - 2 ? UniswapV2Library.pairFor(factory, output, path[i + 2]) : _to;
                                    pair.swap(amount0Out, amount1Out, to, new bytes(0));
                                }
                            }
                            function swapExactTokensForTokensSupportingFeeOnTransferTokens(
                                uint amountIn,
                                uint amountOutMin,
                                address[] calldata path,
                                address to,
                                uint deadline
                            ) external virtual override ensure(deadline) {
                                TransferHelper.safeTransferFrom(
                                    path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amountIn
                                );
                                uint balanceBefore = IERC20Uniswap(path[path.length - 1]).balanceOf(to);
                                _swapSupportingFeeOnTransferTokens(path, to);
                                require(
                                    IERC20Uniswap(path[path.length - 1]).balanceOf(to).sub(balanceBefore) >= amountOutMin,
                                    'UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT'
                                );
                            }
                            function swapExactETHForTokensSupportingFeeOnTransferTokens(
                                uint amountOutMin,
                                address[] calldata path,
                                address to,
                                uint deadline
                            )
                                external
                                virtual
                                override
                                payable
                                ensure(deadline)
                            {
                                require(path[0] == WETH, 'UniswapV2Router: INVALID_PATH');
                                uint amountIn = msg.value;
                                IWETH(WETH).deposit{value: amountIn}();
                                assert(IWETH(WETH).transfer(UniswapV2Library.pairFor(factory, path[0], path[1]), amountIn));
                                uint balanceBefore = IERC20Uniswap(path[path.length - 1]).balanceOf(to);
                                _swapSupportingFeeOnTransferTokens(path, to);
                                require(
                                    IERC20Uniswap(path[path.length - 1]).balanceOf(to).sub(balanceBefore) >= amountOutMin,
                                    'UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT'
                                );
                            }
                            function swapExactTokensForETHSupportingFeeOnTransferTokens(
                                uint amountIn,
                                uint amountOutMin,
                                address[] calldata path,
                                address to,
                                uint deadline
                            )
                                external
                                virtual
                                override
                                ensure(deadline)
                            {
                                require(path[path.length - 1] == WETH, 'UniswapV2Router: INVALID_PATH');
                                TransferHelper.safeTransferFrom(
                                    path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amountIn
                                );
                                _swapSupportingFeeOnTransferTokens(path, address(this));
                                uint amountOut = IERC20Uniswap(WETH).balanceOf(address(this));
                                require(amountOut >= amountOutMin, 'UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT');
                                IWETH(WETH).withdraw(amountOut);
                                TransferHelper.safeTransferETH(to, amountOut);
                            }
                        
                            // **** LIBRARY FUNCTIONS ****
                            function quote(uint amountA, uint reserveA, uint reserveB) public pure virtual override returns (uint amountB) {
                                return UniswapV2Library.quote(amountA, reserveA, reserveB);
                            }
                        
                            function getAmountOut(uint amountIn, uint reserveIn, uint reserveOut)
                                public
                                pure
                                virtual
                                override
                                returns (uint amountOut)
                            {
                                return UniswapV2Library.getAmountOut(amountIn, reserveIn, reserveOut);
                            }
                        
                            function getAmountIn(uint amountOut, uint reserveIn, uint reserveOut)
                                public
                                pure
                                virtual
                                override
                                returns (uint amountIn)
                            {
                                return UniswapV2Library.getAmountIn(amountOut, reserveIn, reserveOut);
                            }
                        
                            function getAmountsOut(uint amountIn, address[] memory path)
                                public
                                view
                                virtual
                                override
                                returns (uint[] memory amounts)
                            {
                                return UniswapV2Library.getAmountsOut(factory, amountIn, path);
                            }
                        
                            function getAmountsIn(uint amountOut, address[] memory path)
                                public
                                view
                                virtual
                                override
                                returns (uint[] memory amounts)
                            {
                                return UniswapV2Library.getAmountsIn(factory, amountOut, path);
                            }
                        }

                        File 14 of 15: UniswapV2Router02
                        pragma solidity =0.6.6;
                        
                        interface IUniswapV2Factory {
                            event PairCreated(address indexed token0, address indexed token1, address pair, uint);
                        
                            function feeTo() external view returns (address);
                            function feeToSetter() external view returns (address);
                        
                            function getPair(address tokenA, address tokenB) external view returns (address pair);
                            function allPairs(uint) external view returns (address pair);
                            function allPairsLength() external view returns (uint);
                        
                            function createPair(address tokenA, address tokenB) external returns (address pair);
                        
                            function setFeeTo(address) external;
                            function setFeeToSetter(address) external;
                        }
                        
                        interface IUniswapV2Pair {
                            event Approval(address indexed owner, address indexed spender, uint value);
                            event Transfer(address indexed from, address indexed to, uint value);
                        
                            function name() external pure returns (string memory);
                            function symbol() external pure returns (string memory);
                            function decimals() external pure returns (uint8);
                            function totalSupply() external view returns (uint);
                            function balanceOf(address owner) external view returns (uint);
                            function allowance(address owner, address spender) external view returns (uint);
                        
                            function approve(address spender, uint value) external returns (bool);
                            function transfer(address to, uint value) external returns (bool);
                            function transferFrom(address from, address to, uint value) external returns (bool);
                        
                            function DOMAIN_SEPARATOR() external view returns (bytes32);
                            function PERMIT_TYPEHASH() external pure returns (bytes32);
                            function nonces(address owner) external view returns (uint);
                        
                            function permit(address owner, address spender, uint value, uint deadline, uint8 v, bytes32 r, bytes32 s) external;
                        
                            event Mint(address indexed sender, uint amount0, uint amount1);
                            event Burn(address indexed sender, uint amount0, uint amount1, address indexed to);
                            event Swap(
                                address indexed sender,
                                uint amount0In,
                                uint amount1In,
                                uint amount0Out,
                                uint amount1Out,
                                address indexed to
                            );
                            event Sync(uint112 reserve0, uint112 reserve1);
                        
                            function MINIMUM_LIQUIDITY() external pure returns (uint);
                            function factory() external view returns (address);
                            function token0() external view returns (address);
                            function token1() external view returns (address);
                            function getReserves() external view returns (uint112 reserve0, uint112 reserve1, uint32 blockTimestampLast);
                            function price0CumulativeLast() external view returns (uint);
                            function price1CumulativeLast() external view returns (uint);
                            function kLast() external view returns (uint);
                        
                            function mint(address to) external returns (uint liquidity);
                            function burn(address to) external returns (uint amount0, uint amount1);
                            function swap(uint amount0Out, uint amount1Out, address to, bytes calldata data) external;
                            function skim(address to) external;
                            function sync() external;
                        
                            function initialize(address, address) external;
                        }
                        
                        interface IUniswapV2Router01 {
                            function factory() external pure returns (address);
                            function WETH() external pure returns (address);
                        
                            function addLiquidity(
                                address tokenA,
                                address tokenB,
                                uint amountADesired,
                                uint amountBDesired,
                                uint amountAMin,
                                uint amountBMin,
                                address to,
                                uint deadline
                            ) external returns (uint amountA, uint amountB, uint liquidity);
                            function addLiquidityETH(
                                address token,
                                uint amountTokenDesired,
                                uint amountTokenMin,
                                uint amountETHMin,
                                address to,
                                uint deadline
                            ) external payable returns (uint amountToken, uint amountETH, uint liquidity);
                            function removeLiquidity(
                                address tokenA,
                                address tokenB,
                                uint liquidity,
                                uint amountAMin,
                                uint amountBMin,
                                address to,
                                uint deadline
                            ) external returns (uint amountA, uint amountB);
                            function removeLiquidityETH(
                                address token,
                                uint liquidity,
                                uint amountTokenMin,
                                uint amountETHMin,
                                address to,
                                uint deadline
                            ) external returns (uint amountToken, uint amountETH);
                            function removeLiquidityWithPermit(
                                address tokenA,
                                address tokenB,
                                uint liquidity,
                                uint amountAMin,
                                uint amountBMin,
                                address to,
                                uint deadline,
                                bool approveMax, uint8 v, bytes32 r, bytes32 s
                            ) external returns (uint amountA, uint amountB);
                            function removeLiquidityETHWithPermit(
                                address token,
                                uint liquidity,
                                uint amountTokenMin,
                                uint amountETHMin,
                                address to,
                                uint deadline,
                                bool approveMax, uint8 v, bytes32 r, bytes32 s
                            ) external returns (uint amountToken, uint amountETH);
                            function swapExactTokensForTokens(
                                uint amountIn,
                                uint amountOutMin,
                                address[] calldata path,
                                address to,
                                uint deadline
                            ) external returns (uint[] memory amounts);
                            function swapTokensForExactTokens(
                                uint amountOut,
                                uint amountInMax,
                                address[] calldata path,
                                address to,
                                uint deadline
                            ) external returns (uint[] memory amounts);
                            function swapExactETHForTokens(uint amountOutMin, address[] calldata path, address to, uint deadline)
                                external
                                payable
                                returns (uint[] memory amounts);
                            function swapTokensForExactETH(uint amountOut, uint amountInMax, address[] calldata path, address to, uint deadline)
                                external
                                returns (uint[] memory amounts);
                            function swapExactTokensForETH(uint amountIn, uint amountOutMin, address[] calldata path, address to, uint deadline)
                                external
                                returns (uint[] memory amounts);
                            function swapETHForExactTokens(uint amountOut, address[] calldata path, address to, uint deadline)
                                external
                                payable
                                returns (uint[] memory amounts);
                        
                            function quote(uint amountA, uint reserveA, uint reserveB) external pure returns (uint amountB);
                            function getAmountOut(uint amountIn, uint reserveIn, uint reserveOut) external pure returns (uint amountOut);
                            function getAmountIn(uint amountOut, uint reserveIn, uint reserveOut) external pure returns (uint amountIn);
                            function getAmountsOut(uint amountIn, address[] calldata path) external view returns (uint[] memory amounts);
                            function getAmountsIn(uint amountOut, address[] calldata path) external view returns (uint[] memory amounts);
                        }
                        
                        interface IUniswapV2Router02 is IUniswapV2Router01 {
                            function removeLiquidityETHSupportingFeeOnTransferTokens(
                                address token,
                                uint liquidity,
                                uint amountTokenMin,
                                uint amountETHMin,
                                address to,
                                uint deadline
                            ) external returns (uint amountETH);
                            function removeLiquidityETHWithPermitSupportingFeeOnTransferTokens(
                                address token,
                                uint liquidity,
                                uint amountTokenMin,
                                uint amountETHMin,
                                address to,
                                uint deadline,
                                bool approveMax, uint8 v, bytes32 r, bytes32 s
                            ) external returns (uint amountETH);
                        
                            function swapExactTokensForTokensSupportingFeeOnTransferTokens(
                                uint amountIn,
                                uint amountOutMin,
                                address[] calldata path,
                                address to,
                                uint deadline
                            ) external;
                            function swapExactETHForTokensSupportingFeeOnTransferTokens(
                                uint amountOutMin,
                                address[] calldata path,
                                address to,
                                uint deadline
                            ) external payable;
                            function swapExactTokensForETHSupportingFeeOnTransferTokens(
                                uint amountIn,
                                uint amountOutMin,
                                address[] calldata path,
                                address to,
                                uint deadline
                            ) external;
                        }
                        
                        interface IERC20 {
                            event Approval(address indexed owner, address indexed spender, uint value);
                            event Transfer(address indexed from, address indexed to, uint value);
                        
                            function name() external view returns (string memory);
                            function symbol() external view returns (string memory);
                            function decimals() external view returns (uint8);
                            function totalSupply() external view returns (uint);
                            function balanceOf(address owner) external view returns (uint);
                            function allowance(address owner, address spender) external view returns (uint);
                        
                            function approve(address spender, uint value) external returns (bool);
                            function transfer(address to, uint value) external returns (bool);
                            function transferFrom(address from, address to, uint value) external returns (bool);
                        }
                        
                        interface IWETH {
                            function deposit() external payable;
                            function transfer(address to, uint value) external returns (bool);
                            function withdraw(uint) external;
                        }
                        
                        contract UniswapV2Router02 is IUniswapV2Router02 {
                            using SafeMath for uint;
                        
                            address public immutable override factory;
                            address public immutable override WETH;
                        
                            modifier ensure(uint deadline) {
                                require(deadline >= block.timestamp, 'UniswapV2Router: EXPIRED');
                                _;
                            }
                        
                            constructor(address _factory, address _WETH) public {
                                factory = _factory;
                                WETH = _WETH;
                            }
                        
                            receive() external payable {
                                assert(msg.sender == WETH); // only accept ETH via fallback from the WETH contract
                            }
                        
                            // **** ADD LIQUIDITY ****
                            function _addLiquidity(
                                address tokenA,
                                address tokenB,
                                uint amountADesired,
                                uint amountBDesired,
                                uint amountAMin,
                                uint amountBMin
                            ) internal virtual returns (uint amountA, uint amountB) {
                                // create the pair if it doesn't exist yet
                                if (IUniswapV2Factory(factory).getPair(tokenA, tokenB) == address(0)) {
                                    IUniswapV2Factory(factory).createPair(tokenA, tokenB);
                                }
                                (uint reserveA, uint reserveB) = UniswapV2Library.getReserves(factory, tokenA, tokenB);
                                if (reserveA == 0 && reserveB == 0) {
                                    (amountA, amountB) = (amountADesired, amountBDesired);
                                } else {
                                    uint amountBOptimal = UniswapV2Library.quote(amountADesired, reserveA, reserveB);
                                    if (amountBOptimal <= amountBDesired) {
                                        require(amountBOptimal >= amountBMin, 'UniswapV2Router: INSUFFICIENT_B_AMOUNT');
                                        (amountA, amountB) = (amountADesired, amountBOptimal);
                                    } else {
                                        uint amountAOptimal = UniswapV2Library.quote(amountBDesired, reserveB, reserveA);
                                        assert(amountAOptimal <= amountADesired);
                                        require(amountAOptimal >= amountAMin, 'UniswapV2Router: INSUFFICIENT_A_AMOUNT');
                                        (amountA, amountB) = (amountAOptimal, amountBDesired);
                                    }
                                }
                            }
                            function addLiquidity(
                                address tokenA,
                                address tokenB,
                                uint amountADesired,
                                uint amountBDesired,
                                uint amountAMin,
                                uint amountBMin,
                                address to,
                                uint deadline
                            ) external virtual override ensure(deadline) returns (uint amountA, uint amountB, uint liquidity) {
                                (amountA, amountB) = _addLiquidity(tokenA, tokenB, amountADesired, amountBDesired, amountAMin, amountBMin);
                                address pair = UniswapV2Library.pairFor(factory, tokenA, tokenB);
                                TransferHelper.safeTransferFrom(tokenA, msg.sender, pair, amountA);
                                TransferHelper.safeTransferFrom(tokenB, msg.sender, pair, amountB);
                                liquidity = IUniswapV2Pair(pair).mint(to);
                            }
                            function addLiquidityETH(
                                address token,
                                uint amountTokenDesired,
                                uint amountTokenMin,
                                uint amountETHMin,
                                address to,
                                uint deadline
                            ) external virtual override payable ensure(deadline) returns (uint amountToken, uint amountETH, uint liquidity) {
                                (amountToken, amountETH) = _addLiquidity(
                                    token,
                                    WETH,
                                    amountTokenDesired,
                                    msg.value,
                                    amountTokenMin,
                                    amountETHMin
                                );
                                address pair = UniswapV2Library.pairFor(factory, token, WETH);
                                TransferHelper.safeTransferFrom(token, msg.sender, pair, amountToken);
                                IWETH(WETH).deposit{value: amountETH}();
                                assert(IWETH(WETH).transfer(pair, amountETH));
                                liquidity = IUniswapV2Pair(pair).mint(to);
                                // refund dust eth, if any
                                if (msg.value > amountETH) TransferHelper.safeTransferETH(msg.sender, msg.value - amountETH);
                            }
                        
                            // **** REMOVE LIQUIDITY ****
                            function removeLiquidity(
                                address tokenA,
                                address tokenB,
                                uint liquidity,
                                uint amountAMin,
                                uint amountBMin,
                                address to,
                                uint deadline
                            ) public virtual override ensure(deadline) returns (uint amountA, uint amountB) {
                                address pair = UniswapV2Library.pairFor(factory, tokenA, tokenB);
                                IUniswapV2Pair(pair).transferFrom(msg.sender, pair, liquidity); // send liquidity to pair
                                (uint amount0, uint amount1) = IUniswapV2Pair(pair).burn(to);
                                (address token0,) = UniswapV2Library.sortTokens(tokenA, tokenB);
                                (amountA, amountB) = tokenA == token0 ? (amount0, amount1) : (amount1, amount0);
                                require(amountA >= amountAMin, 'UniswapV2Router: INSUFFICIENT_A_AMOUNT');
                                require(amountB >= amountBMin, 'UniswapV2Router: INSUFFICIENT_B_AMOUNT');
                            }
                            function removeLiquidityETH(
                                address token,
                                uint liquidity,
                                uint amountTokenMin,
                                uint amountETHMin,
                                address to,
                                uint deadline
                            ) public virtual override ensure(deadline) returns (uint amountToken, uint amountETH) {
                                (amountToken, amountETH) = removeLiquidity(
                                    token,
                                    WETH,
                                    liquidity,
                                    amountTokenMin,
                                    amountETHMin,
                                    address(this),
                                    deadline
                                );
                                TransferHelper.safeTransfer(token, to, amountToken);
                                IWETH(WETH).withdraw(amountETH);
                                TransferHelper.safeTransferETH(to, amountETH);
                            }
                            function removeLiquidityWithPermit(
                                address tokenA,
                                address tokenB,
                                uint liquidity,
                                uint amountAMin,
                                uint amountBMin,
                                address to,
                                uint deadline,
                                bool approveMax, uint8 v, bytes32 r, bytes32 s
                            ) external virtual override returns (uint amountA, uint amountB) {
                                address pair = UniswapV2Library.pairFor(factory, tokenA, tokenB);
                                uint value = approveMax ? uint(-1) : liquidity;
                                IUniswapV2Pair(pair).permit(msg.sender, address(this), value, deadline, v, r, s);
                                (amountA, amountB) = removeLiquidity(tokenA, tokenB, liquidity, amountAMin, amountBMin, to, deadline);
                            }
                            function removeLiquidityETHWithPermit(
                                address token,
                                uint liquidity,
                                uint amountTokenMin,
                                uint amountETHMin,
                                address to,
                                uint deadline,
                                bool approveMax, uint8 v, bytes32 r, bytes32 s
                            ) external virtual override returns (uint amountToken, uint amountETH) {
                                address pair = UniswapV2Library.pairFor(factory, token, WETH);
                                uint value = approveMax ? uint(-1) : liquidity;
                                IUniswapV2Pair(pair).permit(msg.sender, address(this), value, deadline, v, r, s);
                                (amountToken, amountETH) = removeLiquidityETH(token, liquidity, amountTokenMin, amountETHMin, to, deadline);
                            }
                        
                            // **** REMOVE LIQUIDITY (supporting fee-on-transfer tokens) ****
                            function removeLiquidityETHSupportingFeeOnTransferTokens(
                                address token,
                                uint liquidity,
                                uint amountTokenMin,
                                uint amountETHMin,
                                address to,
                                uint deadline
                            ) public virtual override ensure(deadline) returns (uint amountETH) {
                                (, amountETH) = removeLiquidity(
                                    token,
                                    WETH,
                                    liquidity,
                                    amountTokenMin,
                                    amountETHMin,
                                    address(this),
                                    deadline
                                );
                                TransferHelper.safeTransfer(token, to, IERC20(token).balanceOf(address(this)));
                                IWETH(WETH).withdraw(amountETH);
                                TransferHelper.safeTransferETH(to, amountETH);
                            }
                            function removeLiquidityETHWithPermitSupportingFeeOnTransferTokens(
                                address token,
                                uint liquidity,
                                uint amountTokenMin,
                                uint amountETHMin,
                                address to,
                                uint deadline,
                                bool approveMax, uint8 v, bytes32 r, bytes32 s
                            ) external virtual override returns (uint amountETH) {
                                address pair = UniswapV2Library.pairFor(factory, token, WETH);
                                uint value = approveMax ? uint(-1) : liquidity;
                                IUniswapV2Pair(pair).permit(msg.sender, address(this), value, deadline, v, r, s);
                                amountETH = removeLiquidityETHSupportingFeeOnTransferTokens(
                                    token, liquidity, amountTokenMin, amountETHMin, to, deadline
                                );
                            }
                        
                            // **** SWAP ****
                            // requires the initial amount to have already been sent to the first pair
                            function _swap(uint[] memory amounts, address[] memory path, address _to) internal virtual {
                                for (uint i; i < path.length - 1; i++) {
                                    (address input, address output) = (path[i], path[i + 1]);
                                    (address token0,) = UniswapV2Library.sortTokens(input, output);
                                    uint amountOut = amounts[i + 1];
                                    (uint amount0Out, uint amount1Out) = input == token0 ? (uint(0), amountOut) : (amountOut, uint(0));
                                    address to = i < path.length - 2 ? UniswapV2Library.pairFor(factory, output, path[i + 2]) : _to;
                                    IUniswapV2Pair(UniswapV2Library.pairFor(factory, input, output)).swap(
                                        amount0Out, amount1Out, to, new bytes(0)
                                    );
                                }
                            }
                            function swapExactTokensForTokens(
                                uint amountIn,
                                uint amountOutMin,
                                address[] calldata path,
                                address to,
                                uint deadline
                            ) external virtual override ensure(deadline) returns (uint[] memory amounts) {
                                amounts = UniswapV2Library.getAmountsOut(factory, amountIn, path);
                                require(amounts[amounts.length - 1] >= amountOutMin, 'UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT');
                                TransferHelper.safeTransferFrom(
                                    path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]
                                );
                                _swap(amounts, path, to);
                            }
                            function swapTokensForExactTokens(
                                uint amountOut,
                                uint amountInMax,
                                address[] calldata path,
                                address to,
                                uint deadline
                            ) external virtual override ensure(deadline) returns (uint[] memory amounts) {
                                amounts = UniswapV2Library.getAmountsIn(factory, amountOut, path);
                                require(amounts[0] <= amountInMax, 'UniswapV2Router: EXCESSIVE_INPUT_AMOUNT');
                                TransferHelper.safeTransferFrom(
                                    path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]
                                );
                                _swap(amounts, path, to);
                            }
                            function swapExactETHForTokens(uint amountOutMin, address[] calldata path, address to, uint deadline)
                                external
                                virtual
                                override
                                payable
                                ensure(deadline)
                                returns (uint[] memory amounts)
                            {
                                require(path[0] == WETH, 'UniswapV2Router: INVALID_PATH');
                                amounts = UniswapV2Library.getAmountsOut(factory, msg.value, path);
                                require(amounts[amounts.length - 1] >= amountOutMin, 'UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT');
                                IWETH(WETH).deposit{value: amounts[0]}();
                                assert(IWETH(WETH).transfer(UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]));
                                _swap(amounts, path, to);
                            }
                            function swapTokensForExactETH(uint amountOut, uint amountInMax, address[] calldata path, address to, uint deadline)
                                external
                                virtual
                                override
                                ensure(deadline)
                                returns (uint[] memory amounts)
                            {
                                require(path[path.length - 1] == WETH, 'UniswapV2Router: INVALID_PATH');
                                amounts = UniswapV2Library.getAmountsIn(factory, amountOut, path);
                                require(amounts[0] <= amountInMax, 'UniswapV2Router: EXCESSIVE_INPUT_AMOUNT');
                                TransferHelper.safeTransferFrom(
                                    path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]
                                );
                                _swap(amounts, path, address(this));
                                IWETH(WETH).withdraw(amounts[amounts.length - 1]);
                                TransferHelper.safeTransferETH(to, amounts[amounts.length - 1]);
                            }
                            function swapExactTokensForETH(uint amountIn, uint amountOutMin, address[] calldata path, address to, uint deadline)
                                external
                                virtual
                                override
                                ensure(deadline)
                                returns (uint[] memory amounts)
                            {
                                require(path[path.length - 1] == WETH, 'UniswapV2Router: INVALID_PATH');
                                amounts = UniswapV2Library.getAmountsOut(factory, amountIn, path);
                                require(amounts[amounts.length - 1] >= amountOutMin, 'UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT');
                                TransferHelper.safeTransferFrom(
                                    path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]
                                );
                                _swap(amounts, path, address(this));
                                IWETH(WETH).withdraw(amounts[amounts.length - 1]);
                                TransferHelper.safeTransferETH(to, amounts[amounts.length - 1]);
                            }
                            function swapETHForExactTokens(uint amountOut, address[] calldata path, address to, uint deadline)
                                external
                                virtual
                                override
                                payable
                                ensure(deadline)
                                returns (uint[] memory amounts)
                            {
                                require(path[0] == WETH, 'UniswapV2Router: INVALID_PATH');
                                amounts = UniswapV2Library.getAmountsIn(factory, amountOut, path);
                                require(amounts[0] <= msg.value, 'UniswapV2Router: EXCESSIVE_INPUT_AMOUNT');
                                IWETH(WETH).deposit{value: amounts[0]}();
                                assert(IWETH(WETH).transfer(UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]));
                                _swap(amounts, path, to);
                                // refund dust eth, if any
                                if (msg.value > amounts[0]) TransferHelper.safeTransferETH(msg.sender, msg.value - amounts[0]);
                            }
                        
                            // **** SWAP (supporting fee-on-transfer tokens) ****
                            // requires the initial amount to have already been sent to the first pair
                            function _swapSupportingFeeOnTransferTokens(address[] memory path, address _to) internal virtual {
                                for (uint i; i < path.length - 1; i++) {
                                    (address input, address output) = (path[i], path[i + 1]);
                                    (address token0,) = UniswapV2Library.sortTokens(input, output);
                                    IUniswapV2Pair pair = IUniswapV2Pair(UniswapV2Library.pairFor(factory, input, output));
                                    uint amountInput;
                                    uint amountOutput;
                                    { // scope to avoid stack too deep errors
                                    (uint reserve0, uint reserve1,) = pair.getReserves();
                                    (uint reserveInput, uint reserveOutput) = input == token0 ? (reserve0, reserve1) : (reserve1, reserve0);
                                    amountInput = IERC20(input).balanceOf(address(pair)).sub(reserveInput);
                                    amountOutput = UniswapV2Library.getAmountOut(amountInput, reserveInput, reserveOutput);
                                    }
                                    (uint amount0Out, uint amount1Out) = input == token0 ? (uint(0), amountOutput) : (amountOutput, uint(0));
                                    address to = i < path.length - 2 ? UniswapV2Library.pairFor(factory, output, path[i + 2]) : _to;
                                    pair.swap(amount0Out, amount1Out, to, new bytes(0));
                                }
                            }
                            function swapExactTokensForTokensSupportingFeeOnTransferTokens(
                                uint amountIn,
                                uint amountOutMin,
                                address[] calldata path,
                                address to,
                                uint deadline
                            ) external virtual override ensure(deadline) {
                                TransferHelper.safeTransferFrom(
                                    path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amountIn
                                );
                                uint balanceBefore = IERC20(path[path.length - 1]).balanceOf(to);
                                _swapSupportingFeeOnTransferTokens(path, to);
                                require(
                                    IERC20(path[path.length - 1]).balanceOf(to).sub(balanceBefore) >= amountOutMin,
                                    'UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT'
                                );
                            }
                            function swapExactETHForTokensSupportingFeeOnTransferTokens(
                                uint amountOutMin,
                                address[] calldata path,
                                address to,
                                uint deadline
                            )
                                external
                                virtual
                                override
                                payable
                                ensure(deadline)
                            {
                                require(path[0] == WETH, 'UniswapV2Router: INVALID_PATH');
                                uint amountIn = msg.value;
                                IWETH(WETH).deposit{value: amountIn}();
                                assert(IWETH(WETH).transfer(UniswapV2Library.pairFor(factory, path[0], path[1]), amountIn));
                                uint balanceBefore = IERC20(path[path.length - 1]).balanceOf(to);
                                _swapSupportingFeeOnTransferTokens(path, to);
                                require(
                                    IERC20(path[path.length - 1]).balanceOf(to).sub(balanceBefore) >= amountOutMin,
                                    'UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT'
                                );
                            }
                            function swapExactTokensForETHSupportingFeeOnTransferTokens(
                                uint amountIn,
                                uint amountOutMin,
                                address[] calldata path,
                                address to,
                                uint deadline
                            )
                                external
                                virtual
                                override
                                ensure(deadline)
                            {
                                require(path[path.length - 1] == WETH, 'UniswapV2Router: INVALID_PATH');
                                TransferHelper.safeTransferFrom(
                                    path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amountIn
                                );
                                _swapSupportingFeeOnTransferTokens(path, address(this));
                                uint amountOut = IERC20(WETH).balanceOf(address(this));
                                require(amountOut >= amountOutMin, 'UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT');
                                IWETH(WETH).withdraw(amountOut);
                                TransferHelper.safeTransferETH(to, amountOut);
                            }
                        
                            // **** LIBRARY FUNCTIONS ****
                            function quote(uint amountA, uint reserveA, uint reserveB) public pure virtual override returns (uint amountB) {
                                return UniswapV2Library.quote(amountA, reserveA, reserveB);
                            }
                        
                            function getAmountOut(uint amountIn, uint reserveIn, uint reserveOut)
                                public
                                pure
                                virtual
                                override
                                returns (uint amountOut)
                            {
                                return UniswapV2Library.getAmountOut(amountIn, reserveIn, reserveOut);
                            }
                        
                            function getAmountIn(uint amountOut, uint reserveIn, uint reserveOut)
                                public
                                pure
                                virtual
                                override
                                returns (uint amountIn)
                            {
                                return UniswapV2Library.getAmountIn(amountOut, reserveIn, reserveOut);
                            }
                        
                            function getAmountsOut(uint amountIn, address[] memory path)
                                public
                                view
                                virtual
                                override
                                returns (uint[] memory amounts)
                            {
                                return UniswapV2Library.getAmountsOut(factory, amountIn, path);
                            }
                        
                            function getAmountsIn(uint amountOut, address[] memory path)
                                public
                                view
                                virtual
                                override
                                returns (uint[] memory amounts)
                            {
                                return UniswapV2Library.getAmountsIn(factory, amountOut, path);
                            }
                        }
                        
                        // a library for performing overflow-safe math, courtesy of DappHub (https://github.com/dapphub/ds-math)
                        
                        library SafeMath {
                            function add(uint x, uint y) internal pure returns (uint z) {
                                require((z = x + y) >= x, 'ds-math-add-overflow');
                            }
                        
                            function sub(uint x, uint y) internal pure returns (uint z) {
                                require((z = x - y) <= x, 'ds-math-sub-underflow');
                            }
                        
                            function mul(uint x, uint y) internal pure returns (uint z) {
                                require(y == 0 || (z = x * y) / y == x, 'ds-math-mul-overflow');
                            }
                        }
                        
                        library UniswapV2Library {
                            using SafeMath for uint;
                        
                            // returns sorted token addresses, used to handle return values from pairs sorted in this order
                            function sortTokens(address tokenA, address tokenB) internal pure returns (address token0, address token1) {
                                require(tokenA != tokenB, 'UniswapV2Library: IDENTICAL_ADDRESSES');
                                (token0, token1) = tokenA < tokenB ? (tokenA, tokenB) : (tokenB, tokenA);
                                require(token0 != address(0), 'UniswapV2Library: ZERO_ADDRESS');
                            }
                        
                            // calculates the CREATE2 address for a pair without making any external calls
                            function pairFor(address factory, address tokenA, address tokenB) internal pure returns (address pair) {
                                (address token0, address token1) = sortTokens(tokenA, tokenB);
                                pair = address(uint(keccak256(abi.encodePacked(
                                        hex'ff',
                                        factory,
                                        keccak256(abi.encodePacked(token0, token1)),
                                        hex'96e8ac4277198ff8b6f785478aa9a39f403cb768dd02cbee326c3e7da348845f' // init code hash
                                    ))));
                            }
                        
                            // fetches and sorts the reserves for a pair
                            function getReserves(address factory, address tokenA, address tokenB) internal view returns (uint reserveA, uint reserveB) {
                                (address token0,) = sortTokens(tokenA, tokenB);
                                (uint reserve0, uint reserve1,) = IUniswapV2Pair(pairFor(factory, tokenA, tokenB)).getReserves();
                                (reserveA, reserveB) = tokenA == token0 ? (reserve0, reserve1) : (reserve1, reserve0);
                            }
                        
                            // given some amount of an asset and pair reserves, returns an equivalent amount of the other asset
                            function quote(uint amountA, uint reserveA, uint reserveB) internal pure returns (uint amountB) {
                                require(amountA > 0, 'UniswapV2Library: INSUFFICIENT_AMOUNT');
                                require(reserveA > 0 && reserveB > 0, 'UniswapV2Library: INSUFFICIENT_LIQUIDITY');
                                amountB = amountA.mul(reserveB) / reserveA;
                            }
                        
                            // given an input amount of an asset and pair reserves, returns the maximum output amount of the other asset
                            function getAmountOut(uint amountIn, uint reserveIn, uint reserveOut) internal pure returns (uint amountOut) {
                                require(amountIn > 0, 'UniswapV2Library: INSUFFICIENT_INPUT_AMOUNT');
                                require(reserveIn > 0 && reserveOut > 0, 'UniswapV2Library: INSUFFICIENT_LIQUIDITY');
                                uint amountInWithFee = amountIn.mul(997);
                                uint numerator = amountInWithFee.mul(reserveOut);
                                uint denominator = reserveIn.mul(1000).add(amountInWithFee);
                                amountOut = numerator / denominator;
                            }
                        
                            // given an output amount of an asset and pair reserves, returns a required input amount of the other asset
                            function getAmountIn(uint amountOut, uint reserveIn, uint reserveOut) internal pure returns (uint amountIn) {
                                require(amountOut > 0, 'UniswapV2Library: INSUFFICIENT_OUTPUT_AMOUNT');
                                require(reserveIn > 0 && reserveOut > 0, 'UniswapV2Library: INSUFFICIENT_LIQUIDITY');
                                uint numerator = reserveIn.mul(amountOut).mul(1000);
                                uint denominator = reserveOut.sub(amountOut).mul(997);
                                amountIn = (numerator / denominator).add(1);
                            }
                        
                            // performs chained getAmountOut calculations on any number of pairs
                            function getAmountsOut(address factory, uint amountIn, address[] memory path) internal view returns (uint[] memory amounts) {
                                require(path.length >= 2, 'UniswapV2Library: INVALID_PATH');
                                amounts = new uint[](path.length);
                                amounts[0] = amountIn;
                                for (uint i; i < path.length - 1; i++) {
                                    (uint reserveIn, uint reserveOut) = getReserves(factory, path[i], path[i + 1]);
                                    amounts[i + 1] = getAmountOut(amounts[i], reserveIn, reserveOut);
                                }
                            }
                        
                            // performs chained getAmountIn calculations on any number of pairs
                            function getAmountsIn(address factory, uint amountOut, address[] memory path) internal view returns (uint[] memory amounts) {
                                require(path.length >= 2, 'UniswapV2Library: INVALID_PATH');
                                amounts = new uint[](path.length);
                                amounts[amounts.length - 1] = amountOut;
                                for (uint i = path.length - 1; i > 0; i--) {
                                    (uint reserveIn, uint reserveOut) = getReserves(factory, path[i - 1], path[i]);
                                    amounts[i - 1] = getAmountIn(amounts[i], reserveIn, reserveOut);
                                }
                            }
                        }
                        
                        // helper methods for interacting with ERC20 tokens and sending ETH that do not consistently return true/false
                        library TransferHelper {
                            function safeApprove(address token, address to, uint value) internal {
                                // bytes4(keccak256(bytes('approve(address,uint256)')));
                                (bool success, bytes memory data) = token.call(abi.encodeWithSelector(0x095ea7b3, to, value));
                                require(success && (data.length == 0 || abi.decode(data, (bool))), 'TransferHelper: APPROVE_FAILED');
                            }
                        
                            function safeTransfer(address token, address to, uint value) internal {
                                // bytes4(keccak256(bytes('transfer(address,uint256)')));
                                (bool success, bytes memory data) = token.call(abi.encodeWithSelector(0xa9059cbb, to, value));
                                require(success && (data.length == 0 || abi.decode(data, (bool))), 'TransferHelper: TRANSFER_FAILED');
                            }
                        
                            function safeTransferFrom(address token, address from, address to, uint value) internal {
                                // bytes4(keccak256(bytes('transferFrom(address,address,uint256)')));
                                (bool success, bytes memory data) = token.call(abi.encodeWithSelector(0x23b872dd, from, to, value));
                                require(success && (data.length == 0 || abi.decode(data, (bool))), 'TransferHelper: TRANSFER_FROM_FAILED');
                            }
                        
                            function safeTransferETH(address to, uint value) internal {
                                (bool success,) = to.call{value:value}(new bytes(0));
                                require(success, 'TransferHelper: ETH_TRANSFER_FAILED');
                            }
                        }

                        File 15 of 15: ConfigurableInterestBankConfig
                        // File: openzeppelin-solidity-2.3.0/contracts/ownership/Ownable.sol
                        
                        pragma solidity ^0.5.0;
                        
                        /**
                         * @dev Contract module which provides a basic access control mechanism, where
                         * there is an account (an owner) that can be granted exclusive access to
                         * specific functions.
                         *
                         * This module is used through inheritance. It will make available the modifier
                         * `onlyOwner`, which can be aplied to your functions to restrict their use to
                         * the owner.
                         */
                        contract Ownable {
                            address private _owner;
                        
                            event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);
                        
                            /**
                             * @dev Initializes the contract setting the deployer as the initial owner.
                             */
                            constructor () internal {
                                _owner = msg.sender;
                                emit OwnershipTransferred(address(0), _owner);
                            }
                        
                            /**
                             * @dev Returns the address of the current owner.
                             */
                            function owner() public view returns (address) {
                                return _owner;
                            }
                        
                            /**
                             * @dev Throws if called by any account other than the owner.
                             */
                            modifier onlyOwner() {
                                require(isOwner(), "Ownable: caller is not the owner");
                                _;
                            }
                        
                            /**
                             * @dev Returns true if the caller is the current owner.
                             */
                            function isOwner() public view returns (bool) {
                                return msg.sender == _owner;
                            }
                        
                            /**
                             * @dev Leaves the contract without owner. It will not be possible to call
                             * `onlyOwner` functions anymore. Can only be called by the current owner.
                             *
                             * > Note: Renouncing ownership will leave the contract without an owner,
                             * thereby removing any functionality that is only available to the owner.
                             */
                            function renounceOwnership() public onlyOwner {
                                emit OwnershipTransferred(_owner, address(0));
                                _owner = address(0);
                            }
                        
                            /**
                             * @dev Transfers ownership of the contract to a new account (`newOwner`).
                             * Can only be called by the current owner.
                             */
                            function transferOwnership(address newOwner) public onlyOwner {
                                _transferOwnership(newOwner);
                            }
                        
                            /**
                             * @dev Transfers ownership of the contract to a new account (`newOwner`).
                             */
                            function _transferOwnership(address newOwner) internal {
                                require(newOwner != address(0), "Ownable: new owner is the zero address");
                                emit OwnershipTransferred(_owner, newOwner);
                                _owner = newOwner;
                            }
                        }
                        
                        // File: openzeppelin-solidity-2.3.0/contracts/math/SafeMath.sol
                        
                        pragma solidity ^0.5.0;
                        
                        /**
                         * @dev Wrappers over Solidity's arithmetic operations with added overflow
                         * checks.
                         *
                         * Arithmetic operations in Solidity wrap on overflow. This can easily result
                         * in bugs, because programmers usually assume that an overflow raises an
                         * error, which is the standard behavior in high level programming languages.
                         * `SafeMath` restores this intuition by reverting the transaction when an
                         * operation overflows.
                         *
                         * Using this library instead of the unchecked operations eliminates an entire
                         * class of bugs, so it's recommended to use it always.
                         */
                        library SafeMath {
                            /**
                             * @dev Returns the addition of two unsigned integers, reverting on
                             * overflow.
                             *
                             * Counterpart to Solidity's `+` operator.
                             *
                             * Requirements:
                             * - Addition cannot overflow.
                             */
                            function add(uint256 a, uint256 b) internal pure returns (uint256) {
                                uint256 c = a + b;
                                require(c >= a, "SafeMath: addition overflow");
                        
                                return c;
                            }
                        
                            /**
                             * @dev Returns the subtraction of two unsigned integers, reverting on
                             * overflow (when the result is negative).
                             *
                             * Counterpart to Solidity's `-` operator.
                             *
                             * Requirements:
                             * - Subtraction cannot overflow.
                             */
                            function sub(uint256 a, uint256 b) internal pure returns (uint256) {
                                require(b <= a, "SafeMath: subtraction overflow");
                                uint256 c = a - b;
                        
                                return c;
                            }
                        
                            /**
                             * @dev Returns the multiplication of two unsigned integers, reverting on
                             * overflow.
                             *
                             * Counterpart to Solidity's `*` operator.
                             *
                             * Requirements:
                             * - Multiplication cannot overflow.
                             */
                            function mul(uint256 a, uint256 b) internal pure returns (uint256) {
                                // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
                                // benefit is lost if 'b' is also tested.
                                // See: https://github.com/OpenZeppelin/openzeppelin-solidity/pull/522
                                if (a == 0) {
                                    return 0;
                                }
                        
                                uint256 c = a * b;
                                require(c / a == b, "SafeMath: multiplication overflow");
                        
                                return c;
                            }
                        
                            /**
                             * @dev Returns the integer division of two unsigned integers. Reverts on
                             * division by zero. The result is rounded towards zero.
                             *
                             * Counterpart to Solidity's `/` operator. Note: this function uses a
                             * `revert` opcode (which leaves remaining gas untouched) while Solidity
                             * uses an invalid opcode to revert (consuming all remaining gas).
                             *
                             * Requirements:
                             * - The divisor cannot be zero.
                             */
                            function div(uint256 a, uint256 b) internal pure returns (uint256) {
                                // Solidity only automatically asserts when dividing by 0
                                require(b > 0, "SafeMath: division by zero");
                                uint256 c = a / b;
                                // assert(a == b * c + a % b); // There is no case in which this doesn't hold
                        
                                return c;
                            }
                        
                            /**
                             * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
                             * Reverts when dividing by zero.
                             *
                             * Counterpart to Solidity's `%` operator. This function uses a `revert`
                             * opcode (which leaves remaining gas untouched) while Solidity uses an
                             * invalid opcode to revert (consuming all remaining gas).
                             *
                             * Requirements:
                             * - The divisor cannot be zero.
                             */
                            function mod(uint256 a, uint256 b) internal pure returns (uint256) {
                                require(b != 0, "SafeMath: modulo by zero");
                                return a % b;
                            }
                        }
                        
                        // File: contracts/BankConfig.sol
                        
                        pragma solidity 0.5.16;
                        
                        interface BankConfig {
                            /// @dev Return minimum ETH debt size per position.
                            function minDebtSize() external view returns (uint256);
                        
                            /// @dev Return the interest rate per second, using 1e18 as denom.
                            function getInterestRate(uint256 debt, uint256 floating) external view returns (uint256);
                        
                            /// @dev Return the bps rate for reserve pool.
                            function getReservePoolBps() external view returns (uint256);
                        
                            /// @dev Return the bps rate for Avada Kill caster.
                            function getKillBps() external view returns (uint256);
                        
                            /// @dev Return whether the given address is a goblin.
                            function isGoblin(address goblin) external view returns (bool);
                        
                            /// @dev Return whether the given goblin accepts more debt. Revert on non-goblin.
                            function acceptDebt(address goblin) external view returns (bool);
                        
                            /// @dev Return the work factor for the goblin + ETH debt, using 1e4 as denom. Revert on non-goblin.
                            function workFactor(address goblin, uint256 debt) external view returns (uint256);
                        
                            /// @dev Return the kill factor for the goblin + ETH debt, using 1e4 as denom. Revert on non-goblin.
                            function killFactor(address goblin, uint256 debt) external view returns (uint256);
                        }
                        
                        // File: contracts/GoblinConfig.sol
                        
                        pragma solidity 0.5.16;
                        
                        interface GoblinConfig {
                            /// @dev Return whether the given goblin accepts more debt.
                            function acceptDebt(address goblin) external view returns (bool);
                            /// @dev Return the work factor for the goblin + ETH debt, using 1e4 as denom.
                            function workFactor(address goblin, uint256 debt) external view returns (uint256);
                            /// @dev Return the kill factor for the goblin + ETH debt, using 1e4 as denom.
                            function killFactor(address goblin, uint256 debt) external view returns (uint256);
                        }
                        
                        // File: contracts/ConfigurableInterestBankConfig.sol
                        
                        pragma solidity 0.5.16;
                        
                        
                        
                        
                        interface InterestModel {
                            /// @dev Return the interest rate per second, using 1e18 as denom.
                            function getInterestRate(uint256 debt, uint256 floating) external view returns (uint256);
                        }
                        
                        
                        contract ConfigurableInterestBankConfig is BankConfig, Ownable {
                            /// The minimum ETH debt size per position.
                            uint256 public minDebtSize;
                            /// The portion of interests allocated to the reserve pool.
                            uint256 public getReservePoolBps;
                            /// The reward for successfully killing a position.
                            uint256 public getKillBps;
                            /// Mapping for goblin address to its configuration.
                            mapping (address => GoblinConfig) public goblins;
                            /// Interest rate model
                            InterestModel public interestModel;
                        
                            constructor(
                                uint256 _minDebtSize,
                                uint256 _reservePoolBps,
                                uint256 _killBps,
                                InterestModel _interestModel
                            ) public {
                                setParams(_minDebtSize, _reservePoolBps, _killBps, _interestModel);
                            }
                        
                            /// @dev Set all the basic parameters. Must only be called by the owner.
                            /// @param _minDebtSize The new minimum debt size value.
                            /// @param _reservePoolBps The new interests allocated to the reserve pool value.
                            /// @param _killBps The new reward for killing a position value.
                            /// @param _interestModel The new interest rate model contract.
                            function setParams(
                                uint256 _minDebtSize,
                                uint256 _reservePoolBps,
                                uint256 _killBps,
                                InterestModel _interestModel
                            ) public onlyOwner {
                                minDebtSize = _minDebtSize;
                                getReservePoolBps = _reservePoolBps;
                                getKillBps = _killBps;
                                interestModel = _interestModel;
                            }
                        
                            /// @dev Set the configuration for the given goblins. Must only be called by the owner.
                            function setGoblins(address[] calldata addrs, GoblinConfig[] calldata configs) external onlyOwner {
                                require(addrs.length == configs.length, "bad length");
                                for (uint256 idx = 0; idx < addrs.length; idx++) {
                                    goblins[addrs[idx]] = configs[idx];
                                }
                            }
                        
                            /// @dev Return the interest rate per second, using 1e18 as denom.
                            function getInterestRate(uint256 debt, uint256 floating) external view returns (uint256) {
                                return interestModel.getInterestRate(debt, floating);
                            }
                        
                            /// @dev Return whether the given address is a goblin.
                            function isGoblin(address goblin) external view returns (bool) {
                                return address(goblins[goblin]) != address(0);
                            }
                        
                            /// @dev Return whether the given goblin accepts more debt. Revert on non-goblin.
                            function acceptDebt(address goblin) external view returns (bool) {
                                return goblins[goblin].acceptDebt(goblin);
                            }
                        
                            /// @dev Return the work factor for the goblin + ETH debt, using 1e4 as denom. Revert on non-goblin.
                            function workFactor(address goblin, uint256 debt) external view returns (uint256) {
                                return goblins[goblin].workFactor(goblin, debt);
                            }
                        
                            /// @dev Return the kill factor for the goblin + ETH debt, using 1e4 as denom. Revert on non-goblin.
                            function killFactor(address goblin, uint256 debt) external view returns (uint256) {
                                return goblins[goblin].killFactor(goblin, debt);
                            }
                        }