ETH Price: $1,875.39 (-1.85%)

Transaction Decoder

Block:
18085674 at Sep-07-2023 04:15:11 PM +UTC
Transaction Fee:
0.004788258830898235 ETH $8.98
Gas Used:
151,445 Gas / 31.617147023 Gwei

Emitted Events:

64 WETH9.Deposit( dst=[Receiver] UniversalRouter, wad=60000000000000000 )
65 WETH9.Transfer( src=[Receiver] UniversalRouter, dst=[Receiver] UniversalRouter, wad=60000000000000000 )
66 Finale.Transfer( from=UniswapV3Pool, to=[Sender] 0x17f84f33c7112c6543648c516fe051aa4d11ce58, value=6198077311590934683508014 )
67 WETH9.Transfer( src=[Receiver] UniversalRouter, dst=UniswapV3Pool, wad=60000000000000000 )
68 UniswapV3Pool.Swap( sender=[Receiver] UniversalRouter, recipient=[Sender] 0x17f84f33c7112c6543648c516fe051aa4d11ce58, amount0=60000000000000000, amount1=-6198077311590934683508014, sqrtPriceX96=809153647706869563260138234378978, liquidity=1571171915414533816908203, tick=184637 )

Account State Difference:

  Address   Before After State Difference Code
0x17F84f33...a4D11cE58
0.370712947716728978 Eth
Nonce: 129
0.305924688885830743 Eth
Nonce: 130
0.064788258830898235
(Titan Builder)
18.413318573219264812 Eth18.414530133219264812 Eth0.00121156
0xC02aaA39...83C756Cc2 3,124,187.655471238668872371 Eth3,124,187.715471238668872371 Eth0.06
0xC7a2572f...8FB0DC374
0xDFDE79f3...2c5cd22fE
(Uniswap V3: FINALE)

Execution Trace

ETH 0.06 UniversalRouter.execute( commands=0x0B000C, inputs=[AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA1SmunoYAAA==, AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA1SmunoYAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAATyjn+vgHd5txBRAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAKAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAArwCqqObIj/o0KDlxPJ+rZCDx1bMIAJxDHolcvqP2w9+gdbTxOPM94+w3DdAAAAAAAAAAAAAAAAAAAAAAAAAAAAA==, AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA==], deadline=1694103429 )
  • ETH 0.06 WETH9.CALL( )
  • WETH9.transfer( dst=0xEf1c6E67703c7BD7107eed8303Fbe6EC2554BF6B, wad=60000000000000000 ) => ( True )
  • UniswapV3Pool.swap( recipient=0x17F84f33C7112C6543648C516fe051aa4D11cE58, zeroForOne=True, amountSpecified=60000000000000000, sqrtPriceLimitX96=4295128740, data=0x0000000000000000000000000000000000000000000000000000000000000040000000000000000000000000EF1C6E67703C7BD7107EED8303FBE6EC2554BF6B000000000000000000000000000000000000000000000000000000000000002BC02AAA39B223FE8D0A0E5C4F27EAD9083C756CC2002710C7A2572FA8FDB0F7E81D6D3C4E3CCF78FB0DC374000000000000000000000000000000000000000000 ) => ( amount0=60000000000000000, amount1=-6198077311590934683508014 )
    • Finale.transfer( to=0x17F84f33C7112C6543648C516fe051aa4D11cE58, amount=6198077311590934683508014 ) => ( True )
    • WETH9.balanceOf( 0xDFDE79f36D2A76a1E096504d241c7d82c5cd22fE ) => ( 89957697551250794736 )
    • UniversalRouter.uniswapV3SwapCallback( amount0Delta=60000000000000000, amount1Delta=-6198077311590934683508014, data=0x0000000000000000000000000000000000000000000000000000000000000040000000000000000000000000EF1C6E67703C7BD7107EED8303FBE6EC2554BF6B000000000000000000000000000000000000000000000000000000000000002BC02AAA39B223FE8D0A0E5C4F27EAD9083C756CC2002710C7A2572FA8FDB0F7E81D6D3C4E3CCF78FB0DC374000000000000000000000000000000000000000000 )
      • WETH9.transfer( dst=0xDFDE79f36D2A76a1E096504d241c7d82c5cd22fE, wad=60000000000000000 ) => ( True )
      • WETH9.balanceOf( 0xDFDE79f36D2A76a1E096504d241c7d82c5cd22fE ) => ( 90017697551250794736 )
      • WETH9.balanceOf( 0xEf1c6E67703c7BD7107eed8303Fbe6EC2554BF6B ) => ( 0 )
        File 1 of 4: UniversalRouter
        // SPDX-License-Identifier: GPL-3.0-or-later
        pragma solidity ^0.8.17;
        import {Dispatcher} from './base/Dispatcher.sol';
        import {RewardsCollector} from './base/RewardsCollector.sol';
        import {RouterParameters, RouterImmutables} from './base/RouterImmutables.sol';
        import {Constants} from './libraries/Constants.sol';
        import {Commands} from './libraries/Commands.sol';
        import {IUniversalRouter} from './interfaces/IUniversalRouter.sol';
        import {ReentrancyLock} from './base/ReentrancyLock.sol';
        contract UniversalRouter is RouterImmutables, IUniversalRouter, Dispatcher, RewardsCollector, ReentrancyLock {
            modifier checkDeadline(uint256 deadline) {
                if (block.timestamp > deadline) revert TransactionDeadlinePassed();
                _;
            }
            constructor(RouterParameters memory params) RouterImmutables(params) {}
            /// @inheritdoc IUniversalRouter
            function execute(bytes calldata commands, bytes[] calldata inputs, uint256 deadline)
                external
                payable
                checkDeadline(deadline)
            {
                execute(commands, inputs);
            }
            /// @inheritdoc IUniversalRouter
            function execute(bytes calldata commands, bytes[] calldata inputs) public payable isNotLocked {
                bool success;
                bytes memory output;
                uint256 numCommands = commands.length;
                if (inputs.length != numCommands) revert LengthMismatch();
                // loop through all given commands, execute them and pass along outputs as defined
                for (uint256 commandIndex = 0; commandIndex < numCommands;) {
                    bytes1 command = commands[commandIndex];
                    bytes memory input = inputs[commandIndex];
                    (success, output) = dispatch(command, input);
                    if (!success && successRequired(command)) {
                        revert ExecutionFailed({commandIndex: commandIndex, message: output});
                    }
                    unchecked {
                        commandIndex++;
                    }
                }
            }
            function successRequired(bytes1 command) internal pure returns (bool) {
                return command & Commands.FLAG_ALLOW_REVERT == 0;
            }
            // To receive ETH from WETH and NFT protocols
            receive() external payable {}
        }
        // SPDX-License-Identifier: GPL-3.0-or-later
        pragma solidity ^0.8.17;
        import {IERC721Receiver} from 'openzeppelin-contracts/contracts/token/ERC721/IERC721Receiver.sol';
        import {IERC1155Receiver} from 'openzeppelin-contracts/contracts/token/ERC1155/IERC1155Receiver.sol';
        import {IERC165} from 'openzeppelin-contracts/contracts/utils/introspection/IERC165.sol';
        /// @title ERC Callback Support
        /// @notice Implements various functions introduced by a variety of ERCs for security reasons.
        /// All are called by external contracts to ensure that this contract safely supports the ERC in question.
        contract Callbacks is IERC721Receiver, IERC1155Receiver {
            function onERC721Received(address, address, uint256, bytes calldata) external pure returns (bytes4) {
                return this.onERC721Received.selector;
            }
            function onERC1155Received(address, address, uint256, uint256, bytes calldata) external pure returns (bytes4) {
                return this.onERC1155Received.selector;
            }
            function onERC1155BatchReceived(address, address, uint256[] calldata, uint256[] calldata, bytes calldata)
                external
                pure
                returns (bytes4)
            {
                return this.onERC1155BatchReceived.selector;
            }
            function supportsInterface(bytes4 interfaceId) external pure returns (bool) {
                return interfaceId == type(IERC1155Receiver).interfaceId || interfaceId == type(IERC721Receiver).interfaceId
                    || interfaceId == type(IERC165).interfaceId;
            }
        }
        // SPDX-License-Identifier: GPL-3.0-or-later
        pragma solidity ^0.8.17;
        import {V2SwapRouter} from '../modules/uniswap/v2/V2SwapRouter.sol';
        import {V3SwapRouter} from '../modules/uniswap/v3/V3SwapRouter.sol';
        import {Payments} from '../modules/Payments.sol';
        import {RouterImmutables} from '../base/RouterImmutables.sol';
        import {Callbacks} from '../base/Callbacks.sol';
        import {Commands} from '../libraries/Commands.sol';
        import {Recipient} from '../libraries/Recipient.sol';
        import {ERC721} from 'solmate/tokens/ERC721.sol';
        import {ERC1155} from 'solmate/tokens/ERC1155.sol';
        import {IAllowanceTransfer} from 'permit2/src/interfaces/IAllowanceTransfer.sol';
        import {ICryptoPunksMarket} from '../interfaces/external/ICryptoPunksMarket.sol';
        /// @title Decodes and Executes Commands
        /// @notice Called by the UniversalRouter contract to efficiently decode and execute a singular command
        abstract contract Dispatcher is Payments, V2SwapRouter, V3SwapRouter, Callbacks {
            using Recipient for address;
            error InvalidCommandType(uint256 commandType);
            error InvalidOwnerERC721();
            error InvalidOwnerERC1155();
            /// @notice Decodes and executes the given command with the given inputs
            /// @param commandType The command type to execute
            /// @param inputs The inputs to execute the command with
            /// @dev 2 masks are used to enable use of a nested-if statement in execution for efficiency reasons
            /// @return success True on success of the command, false on failure
            /// @return output The outputs or error messages, if any, from the command
            function dispatch(bytes1 commandType, bytes memory inputs) internal returns (bool success, bytes memory output) {
                uint256 command = uint8(commandType & Commands.COMMAND_TYPE_MASK);
                success = true;
                if (command < 0x10) {
                    // 0x00 <= command < 0x08
                    if (command < 0x08) {
                        if (command == Commands.V3_SWAP_EXACT_IN) {
                            (address recipient, uint256 amountIn, uint256 amountOutMin, bytes memory path, bool payerIsUser) =
                                abi.decode(inputs, (address, uint256, uint256, bytes, bool));
                            address payer = payerIsUser ? msg.sender : address(this);
                            v3SwapExactInput(recipient.map(), amountIn, amountOutMin, path, payer);
                        } else if (command == Commands.V3_SWAP_EXACT_OUT) {
                            (address recipient, uint256 amountOut, uint256 amountInMax, bytes memory path, bool payerIsUser) =
                                abi.decode(inputs, (address, uint256, uint256, bytes, bool));
                            address payer = payerIsUser ? msg.sender : address(this);
                            v3SwapExactOutput(recipient.map(), amountOut, amountInMax, path, payer);
                        } else if (command == Commands.PERMIT2_TRANSFER_FROM) {
                            (address token, address recipient, uint160 amount) = abi.decode(inputs, (address, address, uint160));
                            permit2TransferFrom(token, msg.sender, recipient, amount);
                        } else if (command == Commands.PERMIT2_PERMIT_BATCH) {
                            (IAllowanceTransfer.PermitBatch memory permitBatch, bytes memory data) =
                                abi.decode(inputs, (IAllowanceTransfer.PermitBatch, bytes));
                            PERMIT2.permit(msg.sender, permitBatch, data);
                        } else if (command == Commands.SWEEP) {
                            (address token, address recipient, uint256 amountMin) =
                                abi.decode(inputs, (address, address, uint256));
                            Payments.sweep(token, recipient.map(), amountMin);
                        } else if (command == Commands.TRANSFER) {
                            (address token, address recipient, uint256 value) = abi.decode(inputs, (address, address, uint256));
                            Payments.pay(token, recipient.map(), value);
                        } else if (command == Commands.PAY_PORTION) {
                            (address token, address recipient, uint256 bips) = abi.decode(inputs, (address, address, uint256));
                            Payments.payPortion(token, recipient.map(), bips);
                        } else if (command == Commands.COMMAND_PLACEHOLDER_0x07) {
                            // placeholder for a future command
                            revert InvalidCommandType(command);
                        }
                        // 0x08 <= command < 0x10
                    } else {
                        if (command == Commands.V2_SWAP_EXACT_IN) {
                            (address recipient, uint256 amountIn, uint256 amountOutMin, address[] memory path, bool payerIsUser)
                            = abi.decode(inputs, (address, uint256, uint256, address[], bool));
                            address payer = payerIsUser ? msg.sender : address(this);
                            v2SwapExactInput(recipient.map(), amountIn, amountOutMin, path, payer);
                        } else if (command == Commands.V2_SWAP_EXACT_OUT) {
                            (address recipient, uint256 amountOut, uint256 amountInMax, address[] memory path, bool payerIsUser)
                            = abi.decode(inputs, (address, uint256, uint256, address[], bool));
                            address payer = payerIsUser ? msg.sender : address(this);
                            v2SwapExactOutput(recipient.map(), amountOut, amountInMax, path, payer);
                        } else if (command == Commands.PERMIT2_PERMIT) {
                            (IAllowanceTransfer.PermitSingle memory permitSingle, bytes memory data) =
                                abi.decode(inputs, (IAllowanceTransfer.PermitSingle, bytes));
                            PERMIT2.permit(msg.sender, permitSingle, data);
                        } else if (command == Commands.WRAP_ETH) {
                            (address recipient, uint256 amountMin) = abi.decode(inputs, (address, uint256));
                            Payments.wrapETH(recipient.map(), amountMin);
                        } else if (command == Commands.UNWRAP_WETH) {
                            (address recipient, uint256 amountMin) = abi.decode(inputs, (address, uint256));
                            Payments.unwrapWETH9(recipient.map(), amountMin);
                        } else if (command == Commands.PERMIT2_TRANSFER_FROM_BATCH) {
                            (IAllowanceTransfer.AllowanceTransferDetails[] memory batchDetails) =
                                abi.decode(inputs, (IAllowanceTransfer.AllowanceTransferDetails[]));
                            permit2TransferFrom(batchDetails);
                        } else if (command == Commands.COMMAND_PLACEHOLDER_0x0e) {
                            // placeholder for a future command
                            revert InvalidCommandType(command);
                        } else if (command == Commands.COMMAND_PLACEHOLDER_0x0f) {
                            // placeholder for a future command
                            revert InvalidCommandType(command);
                        }
                    }
                    // 0x10 <= command
                } else {
                    // 0x10 <= command < 0x18
                    if (command < 0x18) {
                        if (command == Commands.SEAPORT) {
                            (uint256 value, bytes memory data) = abi.decode(inputs, (uint256, bytes));
                            (success, output) = SEAPORT.call{value: value}(data);
                        } else if (command == Commands.LOOKS_RARE_721) {
                            (success, output) = callAndTransfer721(inputs, LOOKS_RARE);
                        } else if (command == Commands.NFTX) {
                            (uint256 value, bytes memory data) = abi.decode(inputs, (uint256, bytes));
                            (success, output) = NFTX_ZAP.call{value: value}(data);
                        } else if (command == Commands.CRYPTOPUNKS) {
                            (uint256 punkId, address recipient, uint256 value) = abi.decode(inputs, (uint256, address, uint256));
                            (success, output) = CRYPTOPUNKS.call{value: value}(
                                abi.encodeWithSelector(ICryptoPunksMarket.buyPunk.selector, punkId)
                            );
                            if (success) ICryptoPunksMarket(CRYPTOPUNKS).transferPunk(recipient.map(), punkId);
                            else output = 'CryptoPunk Trade Failed';
                        } else if (command == Commands.LOOKS_RARE_1155) {
                            (success, output) = callAndTransfer1155(inputs, LOOKS_RARE);
                        } else if (command == Commands.OWNER_CHECK_721) {
                            (address owner, address token, uint256 id) = abi.decode(inputs, (address, address, uint256));
                            success = (ERC721(token).ownerOf(id) == owner);
                            if (!success) output = abi.encodeWithSignature('InvalidOwnerERC721()');
                        } else if (command == Commands.OWNER_CHECK_1155) {
                            (address owner, address token, uint256 id, uint256 minBalance) =
                                abi.decode(inputs, (address, address, uint256, uint256));
                            success = (ERC1155(token).balanceOf(owner, id) >= minBalance);
                            if (!success) output = abi.encodeWithSignature('InvalidOwnerERC1155()');
                        } else if (command == Commands.SWEEP_ERC721) {
                            (address token, address recipient, uint256 id) = abi.decode(inputs, (address, address, uint256));
                            Payments.sweepERC721(token, recipient.map(), id);
                        }
                        // 0x18 <= command < 0x1f
                    } else {
                        if (command == Commands.X2Y2_721) {
                            (success, output) = callAndTransfer721(inputs, X2Y2);
                        } else if (command == Commands.SUDOSWAP) {
                            (uint256 value, bytes memory data) = abi.decode(inputs, (uint256, bytes));
                            (success, output) = SUDOSWAP.call{value: value}(data);
                        } else if (command == Commands.NFT20) {
                            (uint256 value, bytes memory data) = abi.decode(inputs, (uint256, bytes));
                            (success, output) = NFT20_ZAP.call{value: value}(data);
                        } else if (command == Commands.X2Y2_1155) {
                            (success, output) = callAndTransfer1155(inputs, X2Y2);
                        } else if (command == Commands.FOUNDATION) {
                            (success, output) = callAndTransfer721(inputs, FOUNDATION);
                        } else if (command == Commands.SWEEP_ERC1155) {
                            (address token, address recipient, uint256 id, uint256 amount) =
                                abi.decode(inputs, (address, address, uint256, uint256));
                            Payments.sweepERC1155(token, recipient.map(), id, amount);
                        } else if (command == Commands.COMMAND_PLACEHOLDER_0x1e) {
                            // placeholder for a future command
                            revert InvalidCommandType(command);
                        } else if (command == Commands.COMMAND_PLACEHOLDER_0x1f) {
                            // placeholder for a future command
                            revert InvalidCommandType(command);
                        }
                    }
                }
            }
            /// @notice Performs a call to purchase an ERC721, then transfers the ERC721 to a specified recipient
            /// @param inputs The inputs for the protocol and ERC721 transfer, encoded
            /// @param protocol The protocol to pass the calldata to
            /// @return success True on success of the command, false on failure
            /// @return output The outputs or error messages, if any, from the command
            function callAndTransfer721(bytes memory inputs, address protocol)
                internal
                returns (bool success, bytes memory output)
            {
                (uint256 value, bytes memory data, address recipient, address token, uint256 id) =
                    abi.decode(inputs, (uint256, bytes, address, address, uint256));
                (success, output) = protocol.call{value: value}(data);
                if (success) ERC721(token).safeTransferFrom(address(this), recipient.map(), id);
            }
            /// @notice Performs a call to purchase an ERC1155, then transfers the ERC1155 to a specified recipient
            /// @param inputs The inputs for the protocol and ERC1155 transfer, encoded
            /// @param protocol The protocol to pass the calldata to
            /// @return success True on success of the command, false on failure
            /// @return output The outputs or error messages, if any, from the command
            function callAndTransfer1155(bytes memory inputs, address protocol)
                internal
                returns (bool success, bytes memory output)
            {
                (uint256 value, bytes memory data, address recipient, address token, uint256 id, uint256 amount) =
                    abi.decode(inputs, (uint256, bytes, address, address, uint256, uint256));
                (success, output) = protocol.call{value: value}(data);
                if (success) ERC1155(token).safeTransferFrom(address(this), recipient.map(), id, amount, new bytes(0));
            }
        }
        // SPDX-License-Identifier: GPL-3.0-or-later
        pragma solidity ^0.8.17;
        contract ReentrancyLock {
            error ContractLocked();
            uint256 private isLocked = 1;
            modifier isNotLocked() {
                if (isLocked != 1) revert ContractLocked();
                isLocked = 2;
                _;
                isLocked = 1;
            }
        }
        // SPDX-License-Identifier: GPL-3.0-or-later
        pragma solidity ^0.8.15;
        import {ERC20} from 'solmate/tokens/ERC20.sol';
        import {SafeTransferLib} from 'solmate/utils/SafeTransferLib.sol';
        import {RouterImmutables} from './RouterImmutables.sol';
        import {IRewardsCollector} from '../interfaces/IRewardsCollector.sol';
        abstract contract RewardsCollector is IRewardsCollector, RouterImmutables {
            using SafeTransferLib for ERC20;
            event RewardsSent(uint256 amount);
            error UnableToClaim();
            /// @inheritdoc IRewardsCollector
            function collectRewards(bytes calldata looksRareClaim) external {
                (bool success,) = LOOKS_RARE_REWARDS_DISTRIBUTOR.call(looksRareClaim);
                if (!success) revert UnableToClaim();
                uint256 balance = LOOKS_RARE_TOKEN.balanceOf(address(this));
                LOOKS_RARE_TOKEN.transfer(ROUTER_REWARDS_DISTRIBUTOR, balance);
                emit RewardsSent(balance);
            }
        }
        // SPDX-License-Identifier: GPL-3.0-or-later
        pragma solidity ^0.8.17;
        import {IAllowanceTransfer} from 'permit2/src/interfaces/IAllowanceTransfer.sol';
        import {ERC20} from 'solmate/tokens/ERC20.sol';
        import {IWETH9} from '../interfaces/external/IWETH9.sol';
        struct RouterParameters {
            address permit2;
            address weth9;
            address seaport;
            address nftxZap;
            address x2y2;
            address foundation;
            address sudoswap;
            address nft20Zap;
            address cryptopunks;
            address looksRare;
            address routerRewardsDistributor;
            address looksRareRewardsDistributor;
            address looksRareToken;
            address v2Factory;
            address v3Factory;
            bytes32 pairInitCodeHash;
            bytes32 poolInitCodeHash;
        }
        /// @title Router Immutable Storage contract
        /// @notice Used along with the `RouterParameters` struct for ease of cross-chain deployment
        contract RouterImmutables {
            /// @dev WETH9 address
            IWETH9 internal immutable WETH9;
            /// @dev Permit2 address
            IAllowanceTransfer internal immutable PERMIT2;
            /// @dev Seaport address
            address internal immutable SEAPORT;
            /// @dev The address of NFTX zap contract for interfacing with vaults
            address internal immutable NFTX_ZAP;
            /// @dev The address of X2Y2
            address internal immutable X2Y2;
            // @dev The address of Foundation
            address internal immutable FOUNDATION;
            // @dev The address of Sudoswap's router
            address internal immutable SUDOSWAP;
            // @dev the address of NFT20's zap contract
            address internal immutable NFT20_ZAP;
            // @dev the address of Larva Lab's cryptopunks marketplace
            address internal immutable CRYPTOPUNKS;
            /// @dev The address of LooksRare
            address internal immutable LOOKS_RARE;
            /// @dev The address of LooksRare token
            ERC20 internal immutable LOOKS_RARE_TOKEN;
            /// @dev The address of LooksRare rewards distributor
            address internal immutable LOOKS_RARE_REWARDS_DISTRIBUTOR;
            /// @dev The address of router rewards distributor
            address internal immutable ROUTER_REWARDS_DISTRIBUTOR;
            /// @dev The address of UniswapV2Factory
            address internal immutable UNISWAP_V2_FACTORY;
            /// @dev The address of UniswapV2Pair initcodehash
            bytes32 internal immutable UNISWAP_V2_PAIR_INIT_CODE_HASH;
            /// @dev The address of UniswapV3Factory
            address internal immutable UNISWAP_V3_FACTORY;
            /// @dev The address of UniswapV3Pool initcodehash
            bytes32 internal immutable UNISWAP_V3_POOL_INIT_CODE_HASH;
            constructor(RouterParameters memory params) {
                PERMIT2 = IAllowanceTransfer(params.permit2);
                WETH9 = IWETH9(params.weth9);
                SEAPORT = params.seaport;
                NFTX_ZAP = params.nftxZap;
                X2Y2 = params.x2y2;
                FOUNDATION = params.foundation;
                SUDOSWAP = params.sudoswap;
                NFT20_ZAP = params.nft20Zap;
                CRYPTOPUNKS = params.cryptopunks;
                LOOKS_RARE = params.looksRare;
                LOOKS_RARE_TOKEN = ERC20(params.looksRareToken);
                LOOKS_RARE_REWARDS_DISTRIBUTOR = params.looksRareRewardsDistributor;
                ROUTER_REWARDS_DISTRIBUTOR = params.routerRewardsDistributor;
                UNISWAP_V2_FACTORY = params.v2Factory;
                UNISWAP_V2_PAIR_INIT_CODE_HASH = params.pairInitCodeHash;
                UNISWAP_V3_FACTORY = params.v3Factory;
                UNISWAP_V3_POOL_INIT_CODE_HASH = params.poolInitCodeHash;
            }
        }
        // SPDX-License-Identifier: GPL-3.0-or-later
        pragma solidity ^0.8.15;
        import {ERC20} from 'solmate/tokens/ERC20.sol';
        /// @title LooksRare Rewards Collector
        /// @notice Implements a permissionless call to fetch LooksRare rewards earned by Universal Router users
        /// and transfers them to an external rewards distributor contract
        interface IRewardsCollector {
            /// @notice Fetches users' LooksRare rewards and sends them to the distributor contract
            /// @param looksRareClaim The data required by LooksRare to claim reward tokens
            function collectRewards(bytes calldata looksRareClaim) external;
        }
        // SPDX-License-Identifier: GPL-3.0-or-later
        pragma solidity ^0.8.17;
        import {IERC721Receiver} from 'openzeppelin-contracts/contracts/token/ERC721/IERC721Receiver.sol';
        import {IERC1155Receiver} from 'openzeppelin-contracts/contracts/token/ERC1155/IERC1155Receiver.sol';
        import {IRewardsCollector} from './IRewardsCollector.sol';
        interface IUniversalRouter is IRewardsCollector, IERC721Receiver, IERC1155Receiver {
            /// @notice Thrown when a required command has failed
            error ExecutionFailed(uint256 commandIndex, bytes message);
            /// @notice Thrown when attempting to send ETH directly to the contract
            error ETHNotAccepted();
            /// @notice Thrown executing commands with an expired deadline
            error TransactionDeadlinePassed();
            /// @notice Thrown executing commands with an expired deadline
            error LengthMismatch();
            /// @notice Executes encoded commands along with provided inputs. Reverts if deadline has expired.
            /// @param commands A set of concatenated commands, each 1 byte in length
            /// @param inputs An array of byte strings containing abi encoded inputs for each command
            /// @param deadline The deadline by which the transaction must be executed
            function execute(bytes calldata commands, bytes[] calldata inputs, uint256 deadline) external payable;
            /// @notice Executes encoded commands along with provided inputs.
            /// @param commands A set of concatenated commands, each 1 byte in length
            /// @param inputs An array of byte strings containing abi encoded inputs for each command
            function execute(bytes calldata commands, bytes[] calldata inputs) external payable;
        }
        // SPDX-License-Identifier: GPL-3.0-or-later
        pragma solidity ^0.8.4;
        /// @title Interface for CryptoPunksMarket
        interface ICryptoPunksMarket {
            /// @notice Buy a cryptopunk
            function buyPunk(uint256 punkIndex) external payable;
            /// @notice Transfer a cryptopunk to another address
            function transferPunk(address to, uint256 punkIndex) external;
        }
        // SPDX-License-Identifier: GPL-3.0-or-later
        pragma solidity ^0.8.4;
        import {IERC20} from 'openzeppelin-contracts/contracts/token/ERC20/IERC20.sol';
        /// @title Interface for WETH9
        interface IWETH9 is IERC20 {
            /// @notice Deposit ether to get wrapped ether
            function deposit() external payable;
            /// @notice Withdraw wrapped ether to get ether
            function withdraw(uint256) external;
        }
        // SPDX-License-Identifier: GPL-3.0-or-later
        pragma solidity ^0.8.17;
        /// @title Commands
        /// @notice Command Flags used to decode commands
        library Commands {
            // Masks to extract certain bits of commands
            bytes1 internal constant FLAG_ALLOW_REVERT = 0x80;
            bytes1 internal constant COMMAND_TYPE_MASK = 0x1f;
            bytes1 internal constant NFT_TYPE_MASK = 0x10;
            bytes1 internal constant SUB_IF_BRANCH_MASK = 0x08;
            // Command Types. Maximum supported command at this moment is 0x1F.
            // Command Types where value<0x08, executed in the first nested-if block
            uint256 constant V3_SWAP_EXACT_IN = 0x00;
            uint256 constant V3_SWAP_EXACT_OUT = 0x01;
            uint256 constant PERMIT2_TRANSFER_FROM = 0x02;
            uint256 constant PERMIT2_PERMIT_BATCH = 0x03;
            uint256 constant SWEEP = 0x04;
            uint256 constant TRANSFER = 0x05;
            uint256 constant PAY_PORTION = 0x06;
            uint256 constant COMMAND_PLACEHOLDER_0x07 = 0x07;
            // Command Types where 0x08<=value<=0x0f, executed in the second nested-if block
            uint256 constant V2_SWAP_EXACT_IN = 0x08;
            uint256 constant V2_SWAP_EXACT_OUT = 0x09;
            uint256 constant PERMIT2_PERMIT = 0x0a;
            uint256 constant WRAP_ETH = 0x0b;
            uint256 constant UNWRAP_WETH = 0x0c;
            uint256 constant PERMIT2_TRANSFER_FROM_BATCH = 0x0d;
            uint256 constant COMMAND_PLACEHOLDER_0x0e = 0x0e;
            uint256 constant COMMAND_PLACEHOLDER_0x0f = 0x0f;
            // Command Types where 0x10<=value<0x18, executed in the third nested-if block
            uint256 constant SEAPORT = 0x10;
            uint256 constant LOOKS_RARE_721 = 0x11;
            uint256 constant NFTX = 0x12;
            uint256 constant CRYPTOPUNKS = 0x13;
            uint256 constant LOOKS_RARE_1155 = 0x14;
            uint256 constant OWNER_CHECK_721 = 0x15;
            uint256 constant OWNER_CHECK_1155 = 0x16;
            uint256 constant SWEEP_ERC721 = 0x17;
            // Command Types where 0x18<=value<=0x1f, executed in the final nested-if block
            uint256 constant X2Y2_721 = 0x18;
            uint256 constant SUDOSWAP = 0x19;
            uint256 constant NFT20 = 0x1a;
            uint256 constant X2Y2_1155 = 0x1b;
            uint256 constant FOUNDATION = 0x1c;
            uint256 constant SWEEP_ERC1155 = 0x1d;
            uint256 constant COMMAND_PLACEHOLDER_0x1e = 0x1e;
            uint256 constant COMMAND_PLACEHOLDER_0x1f = 0x1f;
        }
        // SPDX-License-Identifier: GPL-3.0-or-later
        pragma solidity ^0.8.17;
        import {IWETH9} from '../interfaces/external/IWETH9.sol';
        /// @title Constant state
        /// @notice Constant state used by the Universal Router
        library Constants {
            /// @dev Used for identifying cases when this contract's balance of a token is to be used as an input
            /// This value is equivalent to 1<<255, i.e. a singular 1 in the most significant bit.
            uint256 internal constant CONTRACT_BALANCE = 0x8000000000000000000000000000000000000000000000000000000000000000;
            /// @dev Used for identifying cases when a v2 pair has already received input tokens
            uint256 internal constant ALREADY_PAID = 0;
            /// @dev Used as a flag for identifying the transfer of ETH instead of a token
            address internal constant ETH = address(0);
            /// @dev Used as a flag for identifying that msg.sender should be used, saves gas by sending more 0 bytes
            address internal constant MSG_SENDER = address(1);
            /// @dev Used as a flag for identifying address(this) should be used, saves gas by sending more 0 bytes
            address internal constant ADDRESS_THIS = address(2);
        }
        // SPDX-License-Identifier: GPL-3.0-or-later
        pragma solidity ^0.8.17;
        import {Constants} from '../libraries/Constants.sol';
        /// @title Recipient Library
        /// @notice Calculates the recipient address for a command
        library Recipient {
            /// @notice Calculates the recipient address for a command
            /// @param recipient The recipient or recipient-flag for the command
            /// @return output The resultant recipient for the command
            function map(address recipient) internal view returns (address) {
                if (recipient == Constants.MSG_SENDER) {
                    return msg.sender;
                } else if (recipient == Constants.ADDRESS_THIS) {
                    return address(this);
                } else {
                    return recipient;
                }
            }
        }
        // SPDX-License-Identifier: GPL-3.0-or-later
        pragma solidity ^0.8.17;
        import {Constants} from '../libraries/Constants.sol';
        import {RouterImmutables} from '../base/RouterImmutables.sol';
        import {SafeTransferLib} from 'solmate/utils/SafeTransferLib.sol';
        import {ERC20} from 'solmate/tokens/ERC20.sol';
        import {ERC721} from 'solmate/tokens/ERC721.sol';
        import {ERC1155} from 'solmate/tokens/ERC1155.sol';
        /// @title Payments contract
        /// @notice Performs various operations around the payment of ETH and tokens
        abstract contract Payments is RouterImmutables {
            using SafeTransferLib for ERC20;
            using SafeTransferLib for address;
            error InsufficientToken();
            error InsufficientETH();
            error InvalidBips();
            uint256 internal constant FEE_BIPS_BASE = 10_000;
            /// @notice Pays an amount of ETH or ERC20 to a recipient
            /// @param token The token to pay (can be ETH using Constants.ETH)
            /// @param recipient The address that will receive the payment
            /// @param value The amount to pay
            function pay(address token, address recipient, uint256 value) internal {
                if (token == Constants.ETH) {
                    recipient.safeTransferETH(value);
                } else {
                    if (value == Constants.CONTRACT_BALANCE) {
                        value = ERC20(token).balanceOf(address(this));
                    }
                    ERC20(token).safeTransfer(recipient, value);
                }
            }
            /// @notice Pays a proportion of the contract's ETH or ERC20 to a recipient
            /// @param token The token to pay (can be ETH using Constants.ETH)
            /// @param recipient The address that will receive payment
            /// @param bips Portion in bips of whole balance of the contract
            function payPortion(address token, address recipient, uint256 bips) internal {
                if (bips == 0 || bips > 10_000) revert InvalidBips();
                if (token == Constants.ETH) {
                    uint256 balance = address(this).balance;
                    uint256 amount = (balance * bips) / FEE_BIPS_BASE;
                    recipient.safeTransferETH(amount);
                } else {
                    uint256 balance = ERC20(token).balanceOf(address(this));
                    uint256 amount = (balance * bips) / FEE_BIPS_BASE;
                    // pay with tokens already in the contract (for the exact input multihop case)
                    ERC20(token).safeTransfer(recipient, amount);
                }
            }
            /// @notice Sweeps all of the contract's ERC20 or ETH to an address
            /// @param token The token to sweep (can be ETH using Constants.ETH)
            /// @param recipient The address that will receive payment
            /// @param amountMinimum The minimum desired amount
            function sweep(address token, address recipient, uint256 amountMinimum) internal {
                uint256 balance;
                if (token == Constants.ETH) {
                    balance = address(this).balance;
                    if (balance < amountMinimum) revert InsufficientETH();
                    if (balance > 0) recipient.safeTransferETH(balance);
                } else {
                    balance = ERC20(token).balanceOf(address(this));
                    if (balance < amountMinimum) revert InsufficientToken();
                    if (balance > 0) ERC20(token).safeTransfer(recipient, balance);
                }
            }
            /// @notice Sweeps an ERC721 to a recipient from the contract
            /// @param token The ERC721 token to sweep
            /// @param recipient The address that will receive payment
            /// @param id The ID of the ERC721 to sweep
            function sweepERC721(address token, address recipient, uint256 id) internal {
                ERC721(token).safeTransferFrom(address(this), recipient, id);
            }
            /// @notice Sweeps all of the contract's ERC1155 to an address
            /// @param token The ERC1155 token to sweep
            /// @param recipient The address that will receive payment
            /// @param id The ID of the ERC1155 to sweep
            /// @param amountMinimum The minimum desired amount
            function sweepERC1155(address token, address recipient, uint256 id, uint256 amountMinimum) internal {
                uint256 balance = ERC1155(token).balanceOf(address(this), id);
                if (balance < amountMinimum) revert InsufficientToken();
                ERC1155(token).safeTransferFrom(address(this), recipient, id, balance, bytes(''));
            }
            /// @notice Wraps an amount of ETH into WETH
            /// @param recipient The recipient of the WETH
            /// @param amount The amount to wrap (can be CONTRACT_BALANCE)
            function wrapETH(address recipient, uint256 amount) internal {
                if (amount == Constants.CONTRACT_BALANCE) {
                    amount = address(this).balance;
                } else if (amount > address(this).balance) {
                    revert InsufficientETH();
                }
                if (amount > 0) {
                    WETH9.deposit{value: amount}();
                    WETH9.transfer(recipient, amount);
                }
            }
            /// @notice Unwraps all of the contract's WETH into ETH
            /// @param recipient The recipient of the ETH
            /// @param amountMinimum The minimum amount of ETH desired
            function unwrapWETH9(address recipient, uint256 amountMinimum) internal {
                uint256 value = WETH9.balanceOf(address(this));
                if (value < amountMinimum) {
                    revert InsufficientETH();
                }
                if (value > 0) {
                    WETH9.withdraw(value);
                    recipient.safeTransferETH(value);
                }
            }
        }
        pragma solidity ^0.8.17;
        import {IAllowanceTransfer} from 'permit2/src/interfaces/IAllowanceTransfer.sol';
        import {SafeCast160} from 'permit2/src/libraries/SafeCast160.sol';
        import {Payments} from './Payments.sol';
        import {Constants} from '../libraries/Constants.sol';
        import {RouterImmutables} from '../base/RouterImmutables.sol';
        /// @title Payments through Permit2
        /// @notice Performs interactions with Permit2 to transfer tokens
        abstract contract Permit2Payments is Payments {
            using SafeCast160 for uint256;
            error FromAddressIsNotOwner();
            /// @notice Performs a transferFrom on Permit2
            /// @param token The token to transfer
            /// @param from The address to transfer from
            /// @param to The recipient of the transfer
            /// @param amount The amount to transfer
            function permit2TransferFrom(address token, address from, address to, uint160 amount) internal {
                PERMIT2.transferFrom(from, to, amount, token);
            }
            /// @notice Performs a batch transferFrom on Permit2
            /// @param batchDetails An array detailing each of the transfers that should occur
            function permit2TransferFrom(IAllowanceTransfer.AllowanceTransferDetails[] memory batchDetails) internal {
                address owner = msg.sender;
                uint256 batchLength = batchDetails.length;
                for (uint256 i = 0; i < batchLength; ++i) {
                    if (batchDetails[i].from != owner) revert FromAddressIsNotOwner();
                }
                PERMIT2.transferFrom(batchDetails);
            }
            /// @notice Either performs a regular payment or transferFrom on Permit2, depending on the payer address
            /// @param token The token to transfer
            /// @param payer The address to pay for the transfer
            /// @param recipient The recipient of the transfer
            /// @param amount The amount to transfer
            function payOrPermit2Transfer(address token, address payer, address recipient, uint256 amount) internal {
                if (payer == address(this)) pay(token, recipient, amount);
                else permit2TransferFrom(token, payer, recipient, amount.toUint160());
            }
        }
        // SPDX-License-Identifier: GPL-3.0-or-later
        pragma solidity >=0.5.0;
        import {IUniswapV2Pair} from '@uniswap/v2-core/contracts/interfaces/IUniswapV2Pair.sol';
        /// @title Uniswap v2 Helper Library
        /// @notice Calculates the recipient address for a command
        library UniswapV2Library {
            error InvalidReserves();
            error InvalidPath();
            /// @notice Calculates the v2 address for a pair without making any external calls
            /// @param factory The address of the v2 factory
            /// @param initCodeHash The hash of the pair initcode
            /// @param tokenA One of the tokens in the pair
            /// @param tokenB The other token in the pair
            /// @return pair The resultant v2 pair address
            function pairFor(address factory, bytes32 initCodeHash, address tokenA, address tokenB)
                internal
                pure
                returns (address pair)
            {
                (address token0, address token1) = sortTokens(tokenA, tokenB);
                pair = pairForPreSorted(factory, initCodeHash, token0, token1);
            }
            /// @notice Calculates the v2 address for a pair and the pair's token0
            /// @param factory The address of the v2 factory
            /// @param initCodeHash The hash of the pair initcode
            /// @param tokenA One of the tokens in the pair
            /// @param tokenB The other token in the pair
            /// @return pair The resultant v2 pair address
            /// @return token0 The token considered token0 in this pair
            function pairAndToken0For(address factory, bytes32 initCodeHash, address tokenA, address tokenB)
                internal
                pure
                returns (address pair, address token0)
            {
                address token1;
                (token0, token1) = sortTokens(tokenA, tokenB);
                pair = pairForPreSorted(factory, initCodeHash, token0, token1);
            }
            /// @notice Calculates the v2 address for a pair assuming the input tokens are pre-sorted
            /// @param factory The address of the v2 factory
            /// @param initCodeHash The hash of the pair initcode
            /// @param token0 The pair's token0
            /// @param token1 The pair's token1
            /// @return pair The resultant v2 pair address
            function pairForPreSorted(address factory, bytes32 initCodeHash, address token0, address token1)
                private
                pure
                returns (address pair)
            {
                pair = address(
                    uint160(
                        uint256(
                            keccak256(
                                abi.encodePacked(hex'ff', factory, keccak256(abi.encodePacked(token0, token1)), initCodeHash)
                            )
                        )
                    )
                );
            }
            /// @notice Calculates the v2 address for a pair and fetches the reserves for each token
            /// @param factory The address of the v2 factory
            /// @param initCodeHash The hash of the pair initcode
            /// @param tokenA One of the tokens in the pair
            /// @param tokenB The other token in the pair
            /// @return pair The resultant v2 pair address
            /// @return reserveA The reserves for tokenA
            /// @return reserveB The reserves for tokenB
            function pairAndReservesFor(address factory, bytes32 initCodeHash, address tokenA, address tokenB)
                private
                view
                returns (address pair, uint256 reserveA, uint256 reserveB)
            {
                address token0;
                (pair, token0) = pairAndToken0For(factory, initCodeHash, tokenA, tokenB);
                (uint256 reserve0, uint256 reserve1,) = IUniswapV2Pair(pair).getReserves();
                (reserveA, reserveB) = tokenA == token0 ? (reserve0, reserve1) : (reserve1, reserve0);
            }
            /// @notice Given an input asset amount returns the maximum output amount of the other asset
            /// @param amountIn The token input amount
            /// @param reserveIn The reserves available of the input token
            /// @param reserveOut The reserves available of the output token
            /// @return amountOut The output amount of the output token
            function getAmountOut(uint256 amountIn, uint256 reserveIn, uint256 reserveOut)
                internal
                pure
                returns (uint256 amountOut)
            {
                if (reserveIn == 0 || reserveOut == 0) revert InvalidReserves();
                uint256 amountInWithFee = amountIn * 997;
                uint256 numerator = amountInWithFee * reserveOut;
                uint256 denominator = reserveIn * 1000 + amountInWithFee;
                amountOut = numerator / denominator;
            }
            /// @notice Returns the input amount needed for a desired output amount in a single-hop trade
            /// @param amountOut The desired output amount
            /// @param reserveIn The reserves available of the input token
            /// @param reserveOut The reserves available of the output token
            /// @return amountIn The input amount of the input token
            function getAmountIn(uint256 amountOut, uint256 reserveIn, uint256 reserveOut)
                internal
                pure
                returns (uint256 amountIn)
            {
                if (reserveIn == 0 || reserveOut == 0) revert InvalidReserves();
                uint256 numerator = reserveIn * amountOut * 1000;
                uint256 denominator = (reserveOut - amountOut) * 997;
                amountIn = (numerator / denominator) + 1;
            }
            /// @notice Returns the input amount needed for a desired output amount in a multi-hop trade
            /// @param factory The address of the v2 factory
            /// @param initCodeHash The hash of the pair initcode
            /// @param amountOut The desired output amount
            /// @param path The path of the multi-hop trade
            /// @return amount The input amount of the input token
            /// @return pair The first pair in the trade
            function getAmountInMultihop(address factory, bytes32 initCodeHash, uint256 amountOut, address[] memory path)
                internal
                view
                returns (uint256 amount, address pair)
            {
                if (path.length < 2) revert InvalidPath();
                amount = amountOut;
                for (uint256 i = path.length - 1; i > 0; i--) {
                    uint256 reserveIn;
                    uint256 reserveOut;
                    (pair, reserveIn, reserveOut) = pairAndReservesFor(factory, initCodeHash, path[i - 1], path[i]);
                    amount = getAmountIn(amount, reserveIn, reserveOut);
                }
            }
            /// @notice Sorts two tokens to return token0 and token1
            /// @param tokenA The first token to sort
            /// @param tokenB The other token to sort
            /// @return token0 The smaller token by address value
            /// @return token1 The larger token by address value
            function sortTokens(address tokenA, address tokenB) internal pure returns (address token0, address token1) {
                (token0, token1) = tokenA < tokenB ? (tokenA, tokenB) : (tokenB, tokenA);
            }
        }
        // SPDX-License-Identifier: GPL-3.0-or-later
        pragma solidity ^0.8.17;
        import {IUniswapV2Pair} from '@uniswap/v2-core/contracts/interfaces/IUniswapV2Pair.sol';
        import {UniswapV2Library} from './UniswapV2Library.sol';
        import {RouterImmutables} from '../../../base/RouterImmutables.sol';
        import {Payments} from '../../Payments.sol';
        import {Permit2Payments} from '../../Permit2Payments.sol';
        import {Constants} from '../../../libraries/Constants.sol';
        import {ERC20} from 'solmate/tokens/ERC20.sol';
        /// @title Router for Uniswap v2 Trades
        abstract contract V2SwapRouter is RouterImmutables, Permit2Payments {
            error V2TooLittleReceived();
            error V2TooMuchRequested();
            error V2InvalidPath();
            function _v2Swap(address[] memory path, address recipient, address pair) private {
                unchecked {
                    if (path.length < 2) revert V2InvalidPath();
                    // cached to save on duplicate operations
                    (address token0,) = UniswapV2Library.sortTokens(path[0], path[1]);
                    uint256 finalPairIndex = path.length - 1;
                    uint256 penultimatePairIndex = finalPairIndex - 1;
                    for (uint256 i; i < finalPairIndex; i++) {
                        (address input, address output) = (path[i], path[i + 1]);
                        (uint256 reserve0, uint256 reserve1,) = IUniswapV2Pair(pair).getReserves();
                        (uint256 reserveInput, uint256 reserveOutput) =
                            input == token0 ? (reserve0, reserve1) : (reserve1, reserve0);
                        uint256 amountInput = ERC20(input).balanceOf(pair) - reserveInput;
                        uint256 amountOutput = UniswapV2Library.getAmountOut(amountInput, reserveInput, reserveOutput);
                        (uint256 amount0Out, uint256 amount1Out) =
                            input == token0 ? (uint256(0), amountOutput) : (amountOutput, uint256(0));
                        address nextPair;
                        (nextPair, token0) = i < penultimatePairIndex
                            ? UniswapV2Library.pairAndToken0For(
                                UNISWAP_V2_FACTORY, UNISWAP_V2_PAIR_INIT_CODE_HASH, output, path[i + 2]
                            )
                            : (recipient, address(0));
                        IUniswapV2Pair(pair).swap(amount0Out, amount1Out, nextPair, new bytes(0));
                        pair = nextPair;
                    }
                }
            }
            /// @notice Performs a Uniswap v2 exact input swap
            /// @param recipient The recipient of the output tokens
            /// @param amountIn The amount of input tokens for the trade
            /// @param amountOutMinimum The minimum desired amount of output tokens
            /// @param path The path of the trade as an array of token addresses
            /// @param payer The address that will be paying the input
            function v2SwapExactInput(
                address recipient,
                uint256 amountIn,
                uint256 amountOutMinimum,
                address[] memory path,
                address payer
            ) internal {
                address firstPair =
                    UniswapV2Library.pairFor(UNISWAP_V2_FACTORY, UNISWAP_V2_PAIR_INIT_CODE_HASH, path[0], path[1]);
                if (
                    amountIn != Constants.ALREADY_PAID // amountIn of 0 to signal that the pair already has the tokens
                ) {
                    payOrPermit2Transfer(path[0], payer, firstPair, amountIn);
                }
                ERC20 tokenOut = ERC20(path[path.length - 1]);
                uint256 balanceBefore = tokenOut.balanceOf(recipient);
                _v2Swap(path, recipient, firstPair);
                uint256 amountOut = tokenOut.balanceOf(recipient) - balanceBefore;
                if (amountOut < amountOutMinimum) revert V2TooLittleReceived();
            }
            /// @notice Performs a Uniswap v2 exact output swap
            /// @param recipient The recipient of the output tokens
            /// @param amountOut The amount of output tokens to receive for the trade
            /// @param amountInMaximum The maximum desired amount of input tokens
            /// @param path The path of the trade as an array of token addresses
            /// @param payer The address that will be paying the input
            function v2SwapExactOutput(
                address recipient,
                uint256 amountOut,
                uint256 amountInMaximum,
                address[] memory path,
                address payer
            ) internal {
                (uint256 amountIn, address firstPair) =
                    UniswapV2Library.getAmountInMultihop(UNISWAP_V2_FACTORY, UNISWAP_V2_PAIR_INIT_CODE_HASH, amountOut, path);
                if (amountIn > amountInMaximum) revert V2TooMuchRequested();
                payOrPermit2Transfer(path[0], payer, firstPair, amountIn);
                _v2Swap(path, recipient, firstPair);
            }
        }
        // SPDX-License-Identifier: GPL-3.0-or-later
        /// @title Library for Bytes Manipulation
        /// Based on Gonçalo Sá's BytesLib - but updated and heavily editted
        pragma solidity ^0.8.0;
        library BytesLib {
            error SliceOverflow();
            error SliceOutOfBounds();
            error ToAddressOverflow();
            error ToAddressOutOfBounds();
            error ToUint24Overflow();
            error ToUint24OutOfBounds();
            error NoSlice();
            // Constants used in slicePool
            // 43 bytes: token + feeTier + token
            uint256 internal constant POOL_LENGTH = 43;
            // Offset from beginning of _bytes to start copying from given that 43 isnt a multiple of 32
            uint256 internal constant OFFSET = 11; // 43-32=11
            // Constants used in inPlaceSliceToken
            uint256 internal constant ADDR_AND_FEE_LENGTH = 23;
            /// @notice Slices and returns the first 43 bytes from a bytes string
            /// @dev 43 bytes = pool (20 bytes) + feeTier (3 bytes) + pool (20 bytes)
            /// @param _bytes The input bytes string
            /// @return tempBytes The first 43 bytes of the input bytes string
            function slicePool(bytes memory _bytes) internal pure returns (bytes memory tempBytes) {
                if (_bytes.length < POOL_LENGTH) revert SliceOutOfBounds();
                assembly ("memory-safe") {
                    // Get a location of some free memory and store it in tempBytes as
                    // Solidity does for memory variables.
                    tempBytes := mload(0x40)
                    // The first word of the slice result is a partial word read from the
                    //  original array - given that 43 is not a multiple of 32. To read it,
                    // we use the length of that partial word (43-32=11) and start copying
                    // that many bytes into the array. The first word we copy will start
                    // with data we don't care about, but the last 11 bytes will
                    // land at the beginning of the contents of the new array. When
                    // we're done copying, we overwrite the full first word with
                    // the actual length of the slice.
                    let copyDestination := add(tempBytes, OFFSET)
                    let endNewBytes := add(copyDestination, POOL_LENGTH)
                    let copyFrom := add(_bytes, OFFSET)
                    mstore(copyDestination, mload(copyFrom))
                    copyDestination := add(copyDestination, 0x20)
                    copyFrom := add(copyFrom, 0x20)
                    mstore(copyDestination, mload(copyFrom))
                    mstore(tempBytes, POOL_LENGTH)
                    // update free-memory pointer
                    // allocating the array padded to 32 bytes like the compiler does now
                    mstore(0x40, add(tempBytes, 0x60))
                }
            }
            /// @notice Removes the first 23 bytes of a bytes string in-place
            /// @dev 23 bytes = pool (20 bytes) + feeTier (3 bytes)
            /// @param _bytes The input bytes string to slice
            function inPlaceSliceToken(bytes memory _bytes, uint256 _length) internal pure {
                unchecked {
                    if (_length + 31 < _length) revert SliceOverflow();
                    if (ADDR_AND_FEE_LENGTH + _length < ADDR_AND_FEE_LENGTH) revert SliceOverflow();
                    if (_bytes.length < ADDR_AND_FEE_LENGTH + _length) revert SliceOutOfBounds();
                    if (_length == 0) revert NoSlice();
                }
                assembly ("memory-safe") {
                    // The first word of the slice result is potentially a partial
                    // word read from the original array. To read it, we calculate
                    // the length of that partial word and start copying that many
                    // bytes into the array. The first word we copy will start with
                    // data we don't care about, but the last `lengthmod` bytes will
                    // land at the beginning of the contents of the new array. When
                    // we're done copying, we overwrite the full first word with
                    // the actual length of the slice.
                    // 31==0b11111 to extract the final 5 bits of the length of the slice - the amount that
                    // the length in bytes goes over a round number of bytes32
                    let lengthmod := and(_length, 31)
                    // The multiplication in the next line is necessary
                    // because when slicing multiples of 32 bytes (lengthmod == 0)
                    // the following copy loop was copying the origin's length
                    // and then ending prematurely not copying everything it should.
                    // if the _length is not a multiple of 32, offset is lengthmod
                    // otherwise its 32 (as lengthmod is 0)
                    // offset from beginning of _bytes to start copying from
                    let offset := add(lengthmod, mul(0x20, iszero(lengthmod)))
                    // this does calculates where to start copying bytes into
                    // bytes is the location where the bytes array is
                    // byte+offset is the location where copying should start from
                    let copyDestination := add(_bytes, offset)
                    let endNewBytes := add(copyDestination, _length)
                    for { let copyFrom := add(copyDestination, ADDR_AND_FEE_LENGTH) } lt(copyDestination, endNewBytes) {
                        copyDestination := add(copyDestination, 0x20)
                        copyFrom := add(copyFrom, 0x20)
                    } { mstore(copyDestination, mload(copyFrom)) }
                    mstore(_bytes, _length)
                }
            }
            /// @notice Returns the address starting at byte `_start`
            /// @dev _bytesLength must equal _bytes.length for this to function correctly
            /// @param _bytes The input bytes string to slice
            /// @param _start The starting index of the address
            /// @param _bytesLength The length of _bytes
            /// @return tempAddress The address starting at _start
            function toAddress(bytes memory _bytes, uint256 _start, uint256 _bytesLength)
                internal
                pure
                returns (address tempAddress)
            {
                unchecked {
                    if (_start + 20 < _start) revert ToAddressOverflow();
                    if (_bytesLength < _start + 20) revert ToAddressOutOfBounds();
                }
                assembly {
                    tempAddress := mload(add(add(_bytes, 0x14), _start))
                }
            }
            /// @notice Returns the uint24 starting at byte `_start`
            /// @dev _bytesLength must equal _bytes.length for this to function correctly
            /// @param _bytes The input bytes string to slice
            /// @param _start The starting index of the uint24
            /// @param _bytesLength The length of _bytes
            /// @return tempUint24 The uint24 starting at _start
            function toUint24(bytes memory _bytes, uint256 _start, uint256 _bytesLength)
                internal
                pure
                returns (uint24 tempUint24)
            {
                unchecked {
                    if (_start + 3 < _start) revert ToUint24Overflow();
                    if (_bytesLength < _start + 3) revert ToUint24OutOfBounds();
                }
                assembly {
                    tempUint24 := mload(add(add(_bytes, 0x3), _start))
                }
            }
        }
        // SPDX-License-Identifier: GPL-3.0-or-later
        pragma solidity >=0.6.0;
        import {BytesLib} from './BytesLib.sol';
        /// @title Functions for manipulating path data for multihop swaps
        library V3Path {
            using BytesLib for bytes;
            /// @dev The length of the bytes encoded address
            uint256 private constant ADDR_SIZE = 20;
            /// @dev The length of the bytes encoded fee
            uint256 private constant FEE_SIZE = 3;
            /// @dev The offset of a single token address and pool fee
            uint256 private constant NEXT_OFFSET = ADDR_SIZE + FEE_SIZE;
            /// @dev The offset of an encoded pool key
            uint256 private constant POP_OFFSET = NEXT_OFFSET + ADDR_SIZE;
            /// @dev The minimum length of an encoding that contains 2 or more pools
            uint256 private constant MULTIPLE_POOLS_MIN_LENGTH = POP_OFFSET + NEXT_OFFSET;
            /// @notice Returns true iff the path contains two or more pools
            /// @param path The encoded swap path
            /// @return True if path contains two or more pools, otherwise false
            function hasMultiplePools(bytes memory path) internal pure returns (bool) {
                return path.length >= MULTIPLE_POOLS_MIN_LENGTH;
            }
            /// @notice Decodes the first pool in path
            /// @param path The bytes encoded swap path
            /// @return tokenA The first token of the given pool
            /// @return tokenB The second token of the given pool
            /// @return fee The fee level of the pool
            function decodeFirstPool(bytes memory path) internal pure returns (address tokenA, address tokenB, uint24 fee) {
                uint256 bytesLength = path.length;
                tokenA = path.toAddress(0, bytesLength);
                fee = path.toUint24(ADDR_SIZE, bytesLength);
                tokenB = path.toAddress(NEXT_OFFSET, bytesLength);
            }
            /// @notice Gets the segment corresponding to the first pool in the path
            /// @param path The bytes encoded swap path
            /// @return The segment containing all data necessary to target the first pool in the path
            function getFirstPool(bytes memory path) internal pure returns (bytes memory) {
                return path.slicePool();
            }
            function decodeFirstToken(bytes memory path) internal pure returns (address tokenA) {
                tokenA = path.toAddress(0, path.length);
            }
            /// @notice Skips a token + fee element from the buffer in place
            /// @param path The swap path
            function skipToken(bytes memory path) internal pure {
                path.inPlaceSliceToken(path.length - NEXT_OFFSET);
            }
        }
        // SPDX-License-Identifier: GPL-3.0-or-later
        pragma solidity ^0.8.17;
        import {V3Path} from './V3Path.sol';
        import {SafeCast} from '@uniswap/v3-core/contracts/libraries/SafeCast.sol';
        import {IUniswapV3Pool} from '@uniswap/v3-core/contracts/interfaces/IUniswapV3Pool.sol';
        import {IUniswapV3SwapCallback} from '@uniswap/v3-core/contracts/interfaces/callback/IUniswapV3SwapCallback.sol';
        import {Constants} from '../../../libraries/Constants.sol';
        import {RouterImmutables} from '../../../base/RouterImmutables.sol';
        import {Permit2Payments} from '../../Permit2Payments.sol';
        import {Constants} from '../../../libraries/Constants.sol';
        import {ERC20} from 'solmate/tokens/ERC20.sol';
        /// @title Router for Uniswap v3 Trades
        abstract contract V3SwapRouter is RouterImmutables, Permit2Payments, IUniswapV3SwapCallback {
            using V3Path for bytes;
            using SafeCast for uint256;
            error V3InvalidSwap();
            error V3TooLittleReceived();
            error V3TooMuchRequested();
            error V3InvalidAmountOut();
            error V3InvalidCaller();
            /// @dev Used as the placeholder value for maxAmountIn, because the computed amount in for an exact output swap
            /// can never actually be this value
            uint256 private constant DEFAULT_MAX_AMOUNT_IN = type(uint256).max;
            /// @dev Transient storage variable used for checking slippage
            uint256 private maxAmountInCached = DEFAULT_MAX_AMOUNT_IN;
            /// @dev The minimum value that can be returned from #getSqrtRatioAtTick. Equivalent to getSqrtRatioAtTick(MIN_TICK)
            uint160 internal constant MIN_SQRT_RATIO = 4295128739;
            /// @dev The maximum value that can be returned from #getSqrtRatioAtTick. Equivalent to getSqrtRatioAtTick(MAX_TICK)
            uint160 internal constant MAX_SQRT_RATIO = 1461446703485210103287273052203988822378723970342;
            function uniswapV3SwapCallback(int256 amount0Delta, int256 amount1Delta, bytes calldata data) external {
                if (amount0Delta <= 0 && amount1Delta <= 0) revert V3InvalidSwap(); // swaps entirely within 0-liquidity regions are not supported
                (bytes memory path, address payer) = abi.decode(data, (bytes, address));
                // because exact output swaps are executed in reverse order, in this case tokenOut is actually tokenIn
                (address tokenIn, address tokenOut, uint24 fee) = path.decodeFirstPool();
                if (computePoolAddress(tokenIn, tokenOut, fee) != msg.sender) revert V3InvalidCaller();
                (bool isExactInput, uint256 amountToPay) =
                    amount0Delta > 0 ? (tokenIn < tokenOut, uint256(amount0Delta)) : (tokenOut < tokenIn, uint256(amount1Delta));
                if (isExactInput) {
                    // Pay the pool (msg.sender)
                    payOrPermit2Transfer(tokenIn, payer, msg.sender, amountToPay);
                } else {
                    // either initiate the next swap or pay
                    if (path.hasMultiplePools()) {
                        // this is an intermediate step so the payer is actually this contract
                        path.skipToken();
                        _swap(-amountToPay.toInt256(), msg.sender, path, payer, false);
                    } else {
                        if (amountToPay > maxAmountInCached) revert V3TooMuchRequested();
                        // note that because exact output swaps are executed in reverse order, tokenOut is actually tokenIn
                        payOrPermit2Transfer(tokenOut, payer, msg.sender, amountToPay);
                    }
                }
            }
            /// @notice Performs a Uniswap v3 exact input swap
            /// @param recipient The recipient of the output tokens
            /// @param amountIn The amount of input tokens for the trade
            /// @param amountOutMinimum The minimum desired amount of output tokens
            /// @param path The path of the trade as a bytes string
            /// @param payer The address that will be paying the input
            function v3SwapExactInput(
                address recipient,
                uint256 amountIn,
                uint256 amountOutMinimum,
                bytes memory path,
                address payer
            ) internal {
                // use amountIn == Constants.CONTRACT_BALANCE as a flag to swap the entire balance of the contract
                if (amountIn == Constants.CONTRACT_BALANCE) {
                    address tokenIn = path.decodeFirstToken();
                    amountIn = ERC20(tokenIn).balanceOf(address(this));
                }
                uint256 amountOut;
                while (true) {
                    bool hasMultiplePools = path.hasMultiplePools();
                    // the outputs of prior swaps become the inputs to subsequent ones
                    (int256 amount0Delta, int256 amount1Delta, bool zeroForOne) = _swap(
                        amountIn.toInt256(),
                        hasMultiplePools ? address(this) : recipient, // for intermediate swaps, this contract custodies
                        path.getFirstPool(), // only the first pool is needed
                        payer, // for intermediate swaps, this contract custodies
                        true
                    );
                    amountIn = uint256(-(zeroForOne ? amount1Delta : amount0Delta));
                    // decide whether to continue or terminate
                    if (hasMultiplePools) {
                        payer = address(this);
                        path.skipToken();
                    } else {
                        amountOut = amountIn;
                        break;
                    }
                }
                if (amountOut < amountOutMinimum) revert V3TooLittleReceived();
            }
            /// @notice Performs a Uniswap v3 exact output swap
            /// @param recipient The recipient of the output tokens
            /// @param amountOut The amount of output tokens to receive for the trade
            /// @param amountInMaximum The maximum desired amount of input tokens
            /// @param path The path of the trade as a bytes string
            /// @param payer The address that will be paying the input
            function v3SwapExactOutput(
                address recipient,
                uint256 amountOut,
                uint256 amountInMaximum,
                bytes memory path,
                address payer
            ) internal {
                maxAmountInCached = amountInMaximum;
                (int256 amount0Delta, int256 amount1Delta, bool zeroForOne) =
                    _swap(-amountOut.toInt256(), recipient, path, payer, false);
                uint256 amountOutReceived = zeroForOne ? uint256(-amount1Delta) : uint256(-amount0Delta);
                if (amountOutReceived != amountOut) revert V3InvalidAmountOut();
                maxAmountInCached = DEFAULT_MAX_AMOUNT_IN;
            }
            /// @dev Performs a single swap for both exactIn and exactOut
            /// For exactIn, `amount` is `amountIn`. For exactOut, `amount` is `-amountOut`
            function _swap(int256 amount, address recipient, bytes memory path, address payer, bool isExactIn)
                private
                returns (int256 amount0Delta, int256 amount1Delta, bool zeroForOne)
            {
                (address tokenIn, address tokenOut, uint24 fee) = path.decodeFirstPool();
                zeroForOne = isExactIn ? tokenIn < tokenOut : tokenOut < tokenIn;
                (amount0Delta, amount1Delta) = IUniswapV3Pool(computePoolAddress(tokenIn, tokenOut, fee)).swap(
                    recipient,
                    zeroForOne,
                    amount,
                    (zeroForOne ? MIN_SQRT_RATIO + 1 : MAX_SQRT_RATIO - 1),
                    abi.encode(path, payer)
                );
            }
            function computePoolAddress(address tokenA, address tokenB, uint24 fee) private view returns (address pool) {
                if (tokenA > tokenB) (tokenA, tokenB) = (tokenB, tokenA);
                pool = address(
                    uint160(
                        uint256(
                            keccak256(
                                abi.encodePacked(
                                    hex'ff',
                                    UNISWAP_V3_FACTORY,
                                    keccak256(abi.encode(tokenA, tokenB, fee)),
                                    UNISWAP_V3_POOL_INIT_CODE_HASH
                                )
                            )
                        )
                    )
                );
            }
        }
        // SPDX-License-Identifier: MIT
        // OpenZeppelin Contracts (last updated v4.5.0) (token/ERC1155/IERC1155Receiver.sol)
        pragma solidity ^0.8.0;
        import "../../utils/introspection/IERC165.sol";
        /**
         * @dev _Available since v3.1._
         */
        interface IERC1155Receiver is IERC165 {
            /**
             * @dev Handles the receipt of a single ERC1155 token type. This function is
             * called at the end of a `safeTransferFrom` after the balance has been updated.
             *
             * NOTE: To accept the transfer, this must return
             * `bytes4(keccak256("onERC1155Received(address,address,uint256,uint256,bytes)"))`
             * (i.e. 0xf23a6e61, or its own function selector).
             *
             * @param operator The address which initiated the transfer (i.e. msg.sender)
             * @param from The address which previously owned the token
             * @param id The ID of the token being transferred
             * @param value The amount of tokens being transferred
             * @param data Additional data with no specified format
             * @return `bytes4(keccak256("onERC1155Received(address,address,uint256,uint256,bytes)"))` if transfer is allowed
             */
            function onERC1155Received(
                address operator,
                address from,
                uint256 id,
                uint256 value,
                bytes calldata data
            ) external returns (bytes4);
            /**
             * @dev Handles the receipt of a multiple ERC1155 token types. This function
             * is called at the end of a `safeBatchTransferFrom` after the balances have
             * been updated.
             *
             * NOTE: To accept the transfer(s), this must return
             * `bytes4(keccak256("onERC1155BatchReceived(address,address,uint256[],uint256[],bytes)"))`
             * (i.e. 0xbc197c81, or its own function selector).
             *
             * @param operator The address which initiated the batch transfer (i.e. msg.sender)
             * @param from The address which previously owned the token
             * @param ids An array containing ids of each token being transferred (order and length must match values array)
             * @param values An array containing amounts of each token being transferred (order and length must match ids array)
             * @param data Additional data with no specified format
             * @return `bytes4(keccak256("onERC1155BatchReceived(address,address,uint256[],uint256[],bytes)"))` if transfer is allowed
             */
            function onERC1155BatchReceived(
                address operator,
                address from,
                uint256[] calldata ids,
                uint256[] calldata values,
                bytes calldata data
            ) external returns (bytes4);
        }
        // SPDX-License-Identifier: MIT
        // OpenZeppelin Contracts (last updated v4.6.0) (token/ERC20/IERC20.sol)
        pragma solidity ^0.8.0;
        /**
         * @dev Interface of the ERC20 standard as defined in the EIP.
         */
        interface IERC20 {
            /**
             * @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);
            /**
             * @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 `to`.
             *
             * Returns a boolean value indicating whether the operation succeeded.
             *
             * Emits a {Transfer} event.
             */
            function transfer(address to, 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 `from` to `to` 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 from,
                address to,
                uint256 amount
            ) external returns (bool);
        }
        // SPDX-License-Identifier: MIT
        // OpenZeppelin Contracts (last updated v4.6.0) (token/ERC721/IERC721Receiver.sol)
        pragma solidity ^0.8.0;
        /**
         * @title ERC721 token receiver interface
         * @dev Interface for any contract that wants to support safeTransfers
         * from ERC721 asset contracts.
         */
        interface IERC721Receiver {
            /**
             * @dev Whenever an {IERC721} `tokenId` token is transferred to this contract via {IERC721-safeTransferFrom}
             * by `operator` from `from`, this function is called.
             *
             * It must return its Solidity selector to confirm the token transfer.
             * If any other value is returned or the interface is not implemented by the recipient, the transfer will be reverted.
             *
             * The selector can be obtained in Solidity with `IERC721Receiver.onERC721Received.selector`.
             */
            function onERC721Received(
                address operator,
                address from,
                uint256 tokenId,
                bytes calldata data
            ) external returns (bytes4);
        }
        // SPDX-License-Identifier: MIT
        // OpenZeppelin Contracts v4.4.1 (utils/introspection/IERC165.sol)
        pragma solidity ^0.8.0;
        /**
         * @dev Interface of the ERC165 standard, as defined in the
         * https://eips.ethereum.org/EIPS/eip-165[EIP].
         *
         * Implementers can declare support of contract interfaces, which can then be
         * queried by others ({ERC165Checker}).
         *
         * For an implementation, see {ERC165}.
         */
        interface IERC165 {
            /**
             * @dev Returns true if this contract implements the interface defined by
             * `interfaceId`. See the corresponding
             * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[EIP section]
             * to learn more about how these ids are created.
             *
             * This function call must use less than 30 000 gas.
             */
            function supportsInterface(bytes4 interfaceId) external view returns (bool);
        }
        // SPDX-License-Identifier: MIT
        pragma solidity ^0.8.17;
        /// @title AllowanceTransfer
        /// @notice Handles ERC20 token permissions through signature based allowance setting and ERC20 token transfers by checking allowed amounts
        /// @dev Requires user's token approval on the Permit2 contract
        interface IAllowanceTransfer {
            /// @notice Thrown when an allowance on a token has expired.
            /// @param deadline The timestamp at which the allowed amount is no longer valid
            error AllowanceExpired(uint256 deadline);
            /// @notice Thrown when an allowance on a token has been depleted.
            /// @param amount The maximum amount allowed
            error InsufficientAllowance(uint256 amount);
            /// @notice Thrown when too many nonces are invalidated.
            error ExcessiveInvalidation();
            /// @notice Emits an event when the owner successfully invalidates an ordered nonce.
            event NonceInvalidation(
                address indexed owner, address indexed token, address indexed spender, uint48 newNonce, uint48 oldNonce
            );
            /// @notice Emits an event when the owner successfully sets permissions on a token for the spender.
            event Approval(
                address indexed owner, address indexed token, address indexed spender, uint160 amount, uint48 expiration
            );
            /// @notice Emits an event when the owner successfully sets permissions using a permit signature on a token for the spender.
            event Permit(
                address indexed owner,
                address indexed token,
                address indexed spender,
                uint160 amount,
                uint48 expiration,
                uint48 nonce
            );
            /// @notice Emits an event when the owner sets the allowance back to 0 with the lockdown function.
            event Lockdown(address indexed owner, address token, address spender);
            /// @notice The permit data for a token
            struct PermitDetails {
                // ERC20 token address
                address token;
                // the maximum amount allowed to spend
                uint160 amount;
                // timestamp at which a spender's token allowances become invalid
                uint48 expiration;
                // an incrementing value indexed per owner,token,and spender for each signature
                uint48 nonce;
            }
            /// @notice The permit message signed for a single token allownce
            struct PermitSingle {
                // the permit data for a single token alownce
                PermitDetails details;
                // address permissioned on the allowed tokens
                address spender;
                // deadline on the permit signature
                uint256 sigDeadline;
            }
            /// @notice The permit message signed for multiple token allowances
            struct PermitBatch {
                // the permit data for multiple token allowances
                PermitDetails[] details;
                // address permissioned on the allowed tokens
                address spender;
                // deadline on the permit signature
                uint256 sigDeadline;
            }
            /// @notice The saved permissions
            /// @dev This info is saved per owner, per token, per spender and all signed over in the permit message
            /// @dev Setting amount to type(uint160).max sets an unlimited approval
            struct PackedAllowance {
                // amount allowed
                uint160 amount;
                // permission expiry
                uint48 expiration;
                // an incrementing value indexed per owner,token,and spender for each signature
                uint48 nonce;
            }
            /// @notice A token spender pair.
            struct TokenSpenderPair {
                // the token the spender is approved
                address token;
                // the spender address
                address spender;
            }
            /// @notice Details for a token transfer.
            struct AllowanceTransferDetails {
                // the owner of the token
                address from;
                // the recipient of the token
                address to;
                // the amount of the token
                uint160 amount;
                // the token to be transferred
                address token;
            }
            /// @notice A mapping from owner address to token address to spender address to PackedAllowance struct, which contains details and conditions of the approval.
            /// @notice The mapping is indexed in the above order see: allowance[ownerAddress][tokenAddress][spenderAddress]
            /// @dev The packed slot holds the allowed amount, expiration at which the allowed amount is no longer valid, and current nonce thats updated on any signature based approvals.
            function allowance(address, address, address) external view returns (uint160, uint48, uint48);
            /// @notice Approves the spender to use up to amount of the specified token up until the expiration
            /// @param token The token to approve
            /// @param spender The spender address to approve
            /// @param amount The approved amount of the token
            /// @param expiration The timestamp at which the approval is no longer valid
            /// @dev The packed allowance also holds a nonce, which will stay unchanged in approve
            /// @dev Setting amount to type(uint160).max sets an unlimited approval
            function approve(address token, address spender, uint160 amount, uint48 expiration) external;
            /// @notice Permit a spender to a given amount of the owners token via the owner's EIP-712 signature
            /// @dev May fail if the owner's nonce was invalidated in-flight by invalidateNonce
            /// @param owner The owner of the tokens being approved
            /// @param permitSingle Data signed over by the owner specifying the terms of approval
            /// @param signature The owner's signature over the permit data
            function permit(address owner, PermitSingle memory permitSingle, bytes calldata signature) external;
            /// @notice Permit a spender to the signed amounts of the owners tokens via the owner's EIP-712 signature
            /// @dev May fail if the owner's nonce was invalidated in-flight by invalidateNonce
            /// @param owner The owner of the tokens being approved
            /// @param permitBatch Data signed over by the owner specifying the terms of approval
            /// @param signature The owner's signature over the permit data
            function permit(address owner, PermitBatch memory permitBatch, bytes calldata signature) external;
            /// @notice Transfer approved tokens from one address to another
            /// @param from The address to transfer from
            /// @param to The address of the recipient
            /// @param amount The amount of the token to transfer
            /// @param token The token address to transfer
            /// @dev Requires the from address to have approved at least the desired amount
            /// of tokens to msg.sender.
            function transferFrom(address from, address to, uint160 amount, address token) external;
            /// @notice Transfer approved tokens in a batch
            /// @param transferDetails Array of owners, recipients, amounts, and tokens for the transfers
            /// @dev Requires the from addresses to have approved at least the desired amount
            /// of tokens to msg.sender.
            function transferFrom(AllowanceTransferDetails[] calldata transferDetails) external;
            /// @notice Enables performing a "lockdown" of the sender's Permit2 identity
            /// by batch revoking approvals
            /// @param approvals Array of approvals to revoke.
            function lockdown(TokenSpenderPair[] calldata approvals) external;
            /// @notice Invalidate nonces for a given (token, spender) pair
            /// @param token The token to invalidate nonces for
            /// @param spender The spender to invalidate nonces for
            /// @param newNonce The new nonce to set. Invalidates all nonces less than it.
            /// @dev Can't invalidate more than 2**16 nonces per transaction.
            function invalidateNonces(address token, address spender, uint48 newNonce) external;
        }
        // SPDX-License-Identifier: MIT
        pragma solidity ^0.8.17;
        library SafeCast160 {
            /// @notice Thrown when a valude greater than type(uint160).max is cast to uint160
            error UnsafeCast();
            /// @notice Safely casts uint256 to uint160
            /// @param value The uint256 to be cast
            function toUint160(uint256 value) internal pure returns (uint160) {
                if (value > type(uint160).max) revert UnsafeCast();
                return uint160(value);
            }
        }
        // SPDX-License-Identifier: AGPL-3.0-only
        pragma solidity >=0.8.0;
        /// @notice Minimalist and gas efficient standard ERC1155 implementation.
        /// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/tokens/ERC1155.sol)
        abstract contract ERC1155 {
            /*//////////////////////////////////////////////////////////////
                                         EVENTS
            //////////////////////////////////////////////////////////////*/
            event TransferSingle(
                address indexed operator,
                address indexed from,
                address indexed to,
                uint256 id,
                uint256 amount
            );
            event TransferBatch(
                address indexed operator,
                address indexed from,
                address indexed to,
                uint256[] ids,
                uint256[] amounts
            );
            event ApprovalForAll(address indexed owner, address indexed operator, bool approved);
            event URI(string value, uint256 indexed id);
            /*//////////////////////////////////////////////////////////////
                                     ERC1155 STORAGE
            //////////////////////////////////////////////////////////////*/
            mapping(address => mapping(uint256 => uint256)) public balanceOf;
            mapping(address => mapping(address => bool)) public isApprovedForAll;
            /*//////////////////////////////////////////////////////////////
                                     METADATA LOGIC
            //////////////////////////////////////////////////////////////*/
            function uri(uint256 id) public view virtual returns (string memory);
            /*//////////////////////////////////////////////////////////////
                                      ERC1155 LOGIC
            //////////////////////////////////////////////////////////////*/
            function setApprovalForAll(address operator, bool approved) public virtual {
                isApprovedForAll[msg.sender][operator] = approved;
                emit ApprovalForAll(msg.sender, operator, approved);
            }
            function safeTransferFrom(
                address from,
                address to,
                uint256 id,
                uint256 amount,
                bytes calldata data
            ) public virtual {
                require(msg.sender == from || isApprovedForAll[from][msg.sender], "NOT_AUTHORIZED");
                balanceOf[from][id] -= amount;
                balanceOf[to][id] += amount;
                emit TransferSingle(msg.sender, from, to, id, amount);
                require(
                    to.code.length == 0
                        ? to != address(0)
                        : ERC1155TokenReceiver(to).onERC1155Received(msg.sender, from, id, amount, data) ==
                            ERC1155TokenReceiver.onERC1155Received.selector,
                    "UNSAFE_RECIPIENT"
                );
            }
            function safeBatchTransferFrom(
                address from,
                address to,
                uint256[] calldata ids,
                uint256[] calldata amounts,
                bytes calldata data
            ) public virtual {
                require(ids.length == amounts.length, "LENGTH_MISMATCH");
                require(msg.sender == from || isApprovedForAll[from][msg.sender], "NOT_AUTHORIZED");
                // Storing these outside the loop saves ~15 gas per iteration.
                uint256 id;
                uint256 amount;
                for (uint256 i = 0; i < ids.length; ) {
                    id = ids[i];
                    amount = amounts[i];
                    balanceOf[from][id] -= amount;
                    balanceOf[to][id] += amount;
                    // An array can't have a total length
                    // larger than the max uint256 value.
                    unchecked {
                        ++i;
                    }
                }
                emit TransferBatch(msg.sender, from, to, ids, amounts);
                require(
                    to.code.length == 0
                        ? to != address(0)
                        : ERC1155TokenReceiver(to).onERC1155BatchReceived(msg.sender, from, ids, amounts, data) ==
                            ERC1155TokenReceiver.onERC1155BatchReceived.selector,
                    "UNSAFE_RECIPIENT"
                );
            }
            function balanceOfBatch(address[] calldata owners, uint256[] calldata ids)
                public
                view
                virtual
                returns (uint256[] memory balances)
            {
                require(owners.length == ids.length, "LENGTH_MISMATCH");
                balances = new uint256[](owners.length);
                // Unchecked because the only math done is incrementing
                // the array index counter which cannot possibly overflow.
                unchecked {
                    for (uint256 i = 0; i < owners.length; ++i) {
                        balances[i] = balanceOf[owners[i]][ids[i]];
                    }
                }
            }
            /*//////////////////////////////////////////////////////////////
                                      ERC165 LOGIC
            //////////////////////////////////////////////////////////////*/
            function supportsInterface(bytes4 interfaceId) public view virtual returns (bool) {
                return
                    interfaceId == 0x01ffc9a7 || // ERC165 Interface ID for ERC165
                    interfaceId == 0xd9b67a26 || // ERC165 Interface ID for ERC1155
                    interfaceId == 0x0e89341c; // ERC165 Interface ID for ERC1155MetadataURI
            }
            /*//////////////////////////////////////////////////////////////
                                INTERNAL MINT/BURN LOGIC
            //////////////////////////////////////////////////////////////*/
            function _mint(
                address to,
                uint256 id,
                uint256 amount,
                bytes memory data
            ) internal virtual {
                balanceOf[to][id] += amount;
                emit TransferSingle(msg.sender, address(0), to, id, amount);
                require(
                    to.code.length == 0
                        ? to != address(0)
                        : ERC1155TokenReceiver(to).onERC1155Received(msg.sender, address(0), id, amount, data) ==
                            ERC1155TokenReceiver.onERC1155Received.selector,
                    "UNSAFE_RECIPIENT"
                );
            }
            function _batchMint(
                address to,
                uint256[] memory ids,
                uint256[] memory amounts,
                bytes memory data
            ) internal virtual {
                uint256 idsLength = ids.length; // Saves MLOADs.
                require(idsLength == amounts.length, "LENGTH_MISMATCH");
                for (uint256 i = 0; i < idsLength; ) {
                    balanceOf[to][ids[i]] += amounts[i];
                    // An array can't have a total length
                    // larger than the max uint256 value.
                    unchecked {
                        ++i;
                    }
                }
                emit TransferBatch(msg.sender, address(0), to, ids, amounts);
                require(
                    to.code.length == 0
                        ? to != address(0)
                        : ERC1155TokenReceiver(to).onERC1155BatchReceived(msg.sender, address(0), ids, amounts, data) ==
                            ERC1155TokenReceiver.onERC1155BatchReceived.selector,
                    "UNSAFE_RECIPIENT"
                );
            }
            function _batchBurn(
                address from,
                uint256[] memory ids,
                uint256[] memory amounts
            ) internal virtual {
                uint256 idsLength = ids.length; // Saves MLOADs.
                require(idsLength == amounts.length, "LENGTH_MISMATCH");
                for (uint256 i = 0; i < idsLength; ) {
                    balanceOf[from][ids[i]] -= amounts[i];
                    // An array can't have a total length
                    // larger than the max uint256 value.
                    unchecked {
                        ++i;
                    }
                }
                emit TransferBatch(msg.sender, from, address(0), ids, amounts);
            }
            function _burn(
                address from,
                uint256 id,
                uint256 amount
            ) internal virtual {
                balanceOf[from][id] -= amount;
                emit TransferSingle(msg.sender, from, address(0), id, amount);
            }
        }
        /// @notice A generic interface for a contract which properly accepts ERC1155 tokens.
        /// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/tokens/ERC1155.sol)
        abstract contract ERC1155TokenReceiver {
            function onERC1155Received(
                address,
                address,
                uint256,
                uint256,
                bytes calldata
            ) external virtual returns (bytes4) {
                return ERC1155TokenReceiver.onERC1155Received.selector;
            }
            function onERC1155BatchReceived(
                address,
                address,
                uint256[] calldata,
                uint256[] calldata,
                bytes calldata
            ) external virtual returns (bytes4) {
                return ERC1155TokenReceiver.onERC1155BatchReceived.selector;
            }
        }
        // SPDX-License-Identifier: AGPL-3.0-only
        pragma solidity >=0.8.0;
        /// @notice Modern and gas efficient ERC20 + EIP-2612 implementation.
        /// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/tokens/ERC20.sol)
        /// @author Modified from Uniswap (https://github.com/Uniswap/uniswap-v2-core/blob/master/contracts/UniswapV2ERC20.sol)
        /// @dev Do not manually set balances without updating totalSupply, as the sum of all user balances must not exceed it.
        abstract contract ERC20 {
            /*//////////////////////////////////////////////////////////////
                                         EVENTS
            //////////////////////////////////////////////////////////////*/
            event Transfer(address indexed from, address indexed to, uint256 amount);
            event Approval(address indexed owner, address indexed spender, uint256 amount);
            /*//////////////////////////////////////////////////////////////
                                    METADATA STORAGE
            //////////////////////////////////////////////////////////////*/
            string public name;
            string public symbol;
            uint8 public immutable decimals;
            /*//////////////////////////////////////////////////////////////
                                      ERC20 STORAGE
            //////////////////////////////////////////////////////////////*/
            uint256 public totalSupply;
            mapping(address => uint256) public balanceOf;
            mapping(address => mapping(address => uint256)) public allowance;
            /*//////////////////////////////////////////////////////////////
                                    EIP-2612 STORAGE
            //////////////////////////////////////////////////////////////*/
            uint256 internal immutable INITIAL_CHAIN_ID;
            bytes32 internal immutable INITIAL_DOMAIN_SEPARATOR;
            mapping(address => uint256) public nonces;
            /*//////////////////////////////////////////////////////////////
                                       CONSTRUCTOR
            //////////////////////////////////////////////////////////////*/
            constructor(
                string memory _name,
                string memory _symbol,
                uint8 _decimals
            ) {
                name = _name;
                symbol = _symbol;
                decimals = _decimals;
                INITIAL_CHAIN_ID = block.chainid;
                INITIAL_DOMAIN_SEPARATOR = computeDomainSeparator();
            }
            /*//////////////////////////////////////////////////////////////
                                       ERC20 LOGIC
            //////////////////////////////////////////////////////////////*/
            function approve(address spender, uint256 amount) public virtual returns (bool) {
                allowance[msg.sender][spender] = amount;
                emit Approval(msg.sender, spender, amount);
                return true;
            }
            function transfer(address to, uint256 amount) public virtual returns (bool) {
                balanceOf[msg.sender] -= amount;
                // Cannot overflow because the sum of all user
                // balances can't exceed the max uint256 value.
                unchecked {
                    balanceOf[to] += amount;
                }
                emit Transfer(msg.sender, to, amount);
                return true;
            }
            function transferFrom(
                address from,
                address to,
                uint256 amount
            ) public virtual returns (bool) {
                uint256 allowed = allowance[from][msg.sender]; // Saves gas for limited approvals.
                if (allowed != type(uint256).max) allowance[from][msg.sender] = allowed - amount;
                balanceOf[from] -= amount;
                // Cannot overflow because the sum of all user
                // balances can't exceed the max uint256 value.
                unchecked {
                    balanceOf[to] += amount;
                }
                emit Transfer(from, to, amount);
                return true;
            }
            /*//////////////////////////////////////////////////////////////
                                     EIP-2612 LOGIC
            //////////////////////////////////////////////////////////////*/
            function permit(
                address owner,
                address spender,
                uint256 value,
                uint256 deadline,
                uint8 v,
                bytes32 r,
                bytes32 s
            ) public virtual {
                require(deadline >= block.timestamp, "PERMIT_DEADLINE_EXPIRED");
                // Unchecked because the only math done is incrementing
                // the owner's nonce which cannot realistically overflow.
                unchecked {
                    address recoveredAddress = ecrecover(
                        keccak256(
                            abi.encodePacked(
                                "\\x19\\x01",
                                DOMAIN_SEPARATOR(),
                                keccak256(
                                    abi.encode(
                                        keccak256(
                                            "Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)"
                                        ),
                                        owner,
                                        spender,
                                        value,
                                        nonces[owner]++,
                                        deadline
                                    )
                                )
                            )
                        ),
                        v,
                        r,
                        s
                    );
                    require(recoveredAddress != address(0) && recoveredAddress == owner, "INVALID_SIGNER");
                    allowance[recoveredAddress][spender] = value;
                }
                emit Approval(owner, spender, value);
            }
            function DOMAIN_SEPARATOR() public view virtual returns (bytes32) {
                return block.chainid == INITIAL_CHAIN_ID ? INITIAL_DOMAIN_SEPARATOR : computeDomainSeparator();
            }
            function computeDomainSeparator() internal view virtual returns (bytes32) {
                return
                    keccak256(
                        abi.encode(
                            keccak256("EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)"),
                            keccak256(bytes(name)),
                            keccak256("1"),
                            block.chainid,
                            address(this)
                        )
                    );
            }
            /*//////////////////////////////////////////////////////////////
                                INTERNAL MINT/BURN LOGIC
            //////////////////////////////////////////////////////////////*/
            function _mint(address to, uint256 amount) internal virtual {
                totalSupply += amount;
                // Cannot overflow because the sum of all user
                // balances can't exceed the max uint256 value.
                unchecked {
                    balanceOf[to] += amount;
                }
                emit Transfer(address(0), to, amount);
            }
            function _burn(address from, uint256 amount) internal virtual {
                balanceOf[from] -= amount;
                // Cannot underflow because a user's balance
                // will never be larger than the total supply.
                unchecked {
                    totalSupply -= amount;
                }
                emit Transfer(from, address(0), amount);
            }
        }
        // SPDX-License-Identifier: AGPL-3.0-only
        pragma solidity >=0.8.0;
        /// @notice Modern, minimalist, and gas efficient ERC-721 implementation.
        /// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/tokens/ERC721.sol)
        abstract contract ERC721 {
            /*//////////////////////////////////////////////////////////////
                                         EVENTS
            //////////////////////////////////////////////////////////////*/
            event Transfer(address indexed from, address indexed to, uint256 indexed id);
            event Approval(address indexed owner, address indexed spender, uint256 indexed id);
            event ApprovalForAll(address indexed owner, address indexed operator, bool approved);
            /*//////////////////////////////////////////////////////////////
                                 METADATA STORAGE/LOGIC
            //////////////////////////////////////////////////////////////*/
            string public name;
            string public symbol;
            function tokenURI(uint256 id) public view virtual returns (string memory);
            /*//////////////////////////////////////////////////////////////
                              ERC721 BALANCE/OWNER STORAGE
            //////////////////////////////////////////////////////////////*/
            mapping(uint256 => address) internal _ownerOf;
            mapping(address => uint256) internal _balanceOf;
            function ownerOf(uint256 id) public view virtual returns (address owner) {
                require((owner = _ownerOf[id]) != address(0), "NOT_MINTED");
            }
            function balanceOf(address owner) public view virtual returns (uint256) {
                require(owner != address(0), "ZERO_ADDRESS");
                return _balanceOf[owner];
            }
            /*//////////////////////////////////////////////////////////////
                                 ERC721 APPROVAL STORAGE
            //////////////////////////////////////////////////////////////*/
            mapping(uint256 => address) public getApproved;
            mapping(address => mapping(address => bool)) public isApprovedForAll;
            /*//////////////////////////////////////////////////////////////
                                       CONSTRUCTOR
            //////////////////////////////////////////////////////////////*/
            constructor(string memory _name, string memory _symbol) {
                name = _name;
                symbol = _symbol;
            }
            /*//////////////////////////////////////////////////////////////
                                      ERC721 LOGIC
            //////////////////////////////////////////////////////////////*/
            function approve(address spender, uint256 id) public virtual {
                address owner = _ownerOf[id];
                require(msg.sender == owner || isApprovedForAll[owner][msg.sender], "NOT_AUTHORIZED");
                getApproved[id] = spender;
                emit Approval(owner, spender, id);
            }
            function setApprovalForAll(address operator, bool approved) public virtual {
                isApprovedForAll[msg.sender][operator] = approved;
                emit ApprovalForAll(msg.sender, operator, approved);
            }
            function transferFrom(
                address from,
                address to,
                uint256 id
            ) public virtual {
                require(from == _ownerOf[id], "WRONG_FROM");
                require(to != address(0), "INVALID_RECIPIENT");
                require(
                    msg.sender == from || isApprovedForAll[from][msg.sender] || msg.sender == getApproved[id],
                    "NOT_AUTHORIZED"
                );
                // Underflow of the sender's balance is impossible because we check for
                // ownership above and the recipient's balance can't realistically overflow.
                unchecked {
                    _balanceOf[from]--;
                    _balanceOf[to]++;
                }
                _ownerOf[id] = to;
                delete getApproved[id];
                emit Transfer(from, to, id);
            }
            function safeTransferFrom(
                address from,
                address to,
                uint256 id
            ) public virtual {
                transferFrom(from, to, id);
                require(
                    to.code.length == 0 ||
                        ERC721TokenReceiver(to).onERC721Received(msg.sender, from, id, "") ==
                        ERC721TokenReceiver.onERC721Received.selector,
                    "UNSAFE_RECIPIENT"
                );
            }
            function safeTransferFrom(
                address from,
                address to,
                uint256 id,
                bytes calldata data
            ) public virtual {
                transferFrom(from, to, id);
                require(
                    to.code.length == 0 ||
                        ERC721TokenReceiver(to).onERC721Received(msg.sender, from, id, data) ==
                        ERC721TokenReceiver.onERC721Received.selector,
                    "UNSAFE_RECIPIENT"
                );
            }
            /*//////////////////////////////////////////////////////////////
                                      ERC165 LOGIC
            //////////////////////////////////////////////////////////////*/
            function supportsInterface(bytes4 interfaceId) public view virtual returns (bool) {
                return
                    interfaceId == 0x01ffc9a7 || // ERC165 Interface ID for ERC165
                    interfaceId == 0x80ac58cd || // ERC165 Interface ID for ERC721
                    interfaceId == 0x5b5e139f; // ERC165 Interface ID for ERC721Metadata
            }
            /*//////////////////////////////////////////////////////////////
                                INTERNAL MINT/BURN LOGIC
            //////////////////////////////////////////////////////////////*/
            function _mint(address to, uint256 id) internal virtual {
                require(to != address(0), "INVALID_RECIPIENT");
                require(_ownerOf[id] == address(0), "ALREADY_MINTED");
                // Counter overflow is incredibly unrealistic.
                unchecked {
                    _balanceOf[to]++;
                }
                _ownerOf[id] = to;
                emit Transfer(address(0), to, id);
            }
            function _burn(uint256 id) internal virtual {
                address owner = _ownerOf[id];
                require(owner != address(0), "NOT_MINTED");
                // Ownership check above ensures no underflow.
                unchecked {
                    _balanceOf[owner]--;
                }
                delete _ownerOf[id];
                delete getApproved[id];
                emit Transfer(owner, address(0), id);
            }
            /*//////////////////////////////////////////////////////////////
                                INTERNAL SAFE MINT LOGIC
            //////////////////////////////////////////////////////////////*/
            function _safeMint(address to, uint256 id) internal virtual {
                _mint(to, id);
                require(
                    to.code.length == 0 ||
                        ERC721TokenReceiver(to).onERC721Received(msg.sender, address(0), id, "") ==
                        ERC721TokenReceiver.onERC721Received.selector,
                    "UNSAFE_RECIPIENT"
                );
            }
            function _safeMint(
                address to,
                uint256 id,
                bytes memory data
            ) internal virtual {
                _mint(to, id);
                require(
                    to.code.length == 0 ||
                        ERC721TokenReceiver(to).onERC721Received(msg.sender, address(0), id, data) ==
                        ERC721TokenReceiver.onERC721Received.selector,
                    "UNSAFE_RECIPIENT"
                );
            }
        }
        /// @notice A generic interface for a contract which properly accepts ERC721 tokens.
        /// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/tokens/ERC721.sol)
        abstract contract ERC721TokenReceiver {
            function onERC721Received(
                address,
                address,
                uint256,
                bytes calldata
            ) external virtual returns (bytes4) {
                return ERC721TokenReceiver.onERC721Received.selector;
            }
        }
        // SPDX-License-Identifier: AGPL-3.0-only
        pragma solidity >=0.8.0;
        import {ERC20} from "../tokens/ERC20.sol";
        /// @notice Safe ETH and ERC20 transfer library that gracefully handles missing return values.
        /// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/SafeTransferLib.sol)
        /// @dev Use with caution! Some functions in this library knowingly create dirty bits at the destination of the free memory pointer.
        /// @dev Note that none of the functions in this library check that a token has code at all! That responsibility is delegated to the caller.
        library SafeTransferLib {
            /*//////////////////////////////////////////////////////////////
                                     ETH OPERATIONS
            //////////////////////////////////////////////////////////////*/
            function safeTransferETH(address to, uint256 amount) internal {
                bool success;
                /// @solidity memory-safe-assembly
                assembly {
                    // Transfer the ETH and store if it succeeded or not.
                    success := call(gas(), to, amount, 0, 0, 0, 0)
                }
                require(success, "ETH_TRANSFER_FAILED");
            }
            /*//////////////////////////////////////////////////////////////
                                    ERC20 OPERATIONS
            //////////////////////////////////////////////////////////////*/
            function safeTransferFrom(
                ERC20 token,
                address from,
                address to,
                uint256 amount
            ) internal {
                bool success;
                /// @solidity memory-safe-assembly
                assembly {
                    // Get a pointer to some free memory.
                    let freeMemoryPointer := mload(0x40)
                    // Write the abi-encoded calldata into memory, beginning with the function selector.
                    mstore(freeMemoryPointer, 0x23b872dd00000000000000000000000000000000000000000000000000000000)
                    mstore(add(freeMemoryPointer, 4), from) // Append the "from" argument.
                    mstore(add(freeMemoryPointer, 36), to) // Append the "to" argument.
                    mstore(add(freeMemoryPointer, 68), amount) // Append the "amount" argument.
                    success := and(
                        // Set success to whether the call reverted, if not we check it either
                        // returned exactly 1 (can't just be non-zero data), or had no return data.
                        or(and(eq(mload(0), 1), gt(returndatasize(), 31)), iszero(returndatasize())),
                        // We use 100 because the length of our calldata totals up like so: 4 + 32 * 3.
                        // We use 0 and 32 to copy up to 32 bytes of return data into the scratch space.
                        // Counterintuitively, this call must be positioned second to the or() call in the
                        // surrounding and() call or else returndatasize() will be zero during the computation.
                        call(gas(), token, 0, freeMemoryPointer, 100, 0, 32)
                    )
                }
                require(success, "TRANSFER_FROM_FAILED");
            }
            function safeTransfer(
                ERC20 token,
                address to,
                uint256 amount
            ) internal {
                bool success;
                /// @solidity memory-safe-assembly
                assembly {
                    // Get a pointer to some free memory.
                    let freeMemoryPointer := mload(0x40)
                    // Write the abi-encoded calldata into memory, beginning with the function selector.
                    mstore(freeMemoryPointer, 0xa9059cbb00000000000000000000000000000000000000000000000000000000)
                    mstore(add(freeMemoryPointer, 4), to) // Append the "to" argument.
                    mstore(add(freeMemoryPointer, 36), amount) // Append the "amount" argument.
                    success := and(
                        // Set success to whether the call reverted, if not we check it either
                        // returned exactly 1 (can't just be non-zero data), or had no return data.
                        or(and(eq(mload(0), 1), gt(returndatasize(), 31)), iszero(returndatasize())),
                        // We use 68 because the length of our calldata totals up like so: 4 + 32 * 2.
                        // We use 0 and 32 to copy up to 32 bytes of return data into the scratch space.
                        // Counterintuitively, this call must be positioned second to the or() call in the
                        // surrounding and() call or else returndatasize() will be zero during the computation.
                        call(gas(), token, 0, freeMemoryPointer, 68, 0, 32)
                    )
                }
                require(success, "TRANSFER_FAILED");
            }
            function safeApprove(
                ERC20 token,
                address to,
                uint256 amount
            ) internal {
                bool success;
                /// @solidity memory-safe-assembly
                assembly {
                    // Get a pointer to some free memory.
                    let freeMemoryPointer := mload(0x40)
                    // Write the abi-encoded calldata into memory, beginning with the function selector.
                    mstore(freeMemoryPointer, 0x095ea7b300000000000000000000000000000000000000000000000000000000)
                    mstore(add(freeMemoryPointer, 4), to) // Append the "to" argument.
                    mstore(add(freeMemoryPointer, 36), amount) // Append the "amount" argument.
                    success := and(
                        // Set success to whether the call reverted, if not we check it either
                        // returned exactly 1 (can't just be non-zero data), or had no return data.
                        or(and(eq(mload(0), 1), gt(returndatasize(), 31)), iszero(returndatasize())),
                        // We use 68 because the length of our calldata totals up like so: 4 + 32 * 2.
                        // We use 0 and 32 to copy up to 32 bytes of return data into the scratch space.
                        // Counterintuitively, this call must be positioned second to the or() call in the
                        // surrounding and() call or else returndatasize() will be zero during the computation.
                        call(gas(), token, 0, freeMemoryPointer, 68, 0, 32)
                    )
                }
                require(success, "APPROVE_FAILED");
            }
        }
        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;
        }
        // SPDX-License-Identifier: GPL-2.0-or-later
        pragma solidity >=0.5.0;
        import './pool/IUniswapV3PoolImmutables.sol';
        import './pool/IUniswapV3PoolState.sol';
        import './pool/IUniswapV3PoolDerivedState.sol';
        import './pool/IUniswapV3PoolActions.sol';
        import './pool/IUniswapV3PoolOwnerActions.sol';
        import './pool/IUniswapV3PoolEvents.sol';
        /// @title The interface for a Uniswap V3 Pool
        /// @notice A Uniswap pool facilitates swapping and automated market making between any two assets that strictly conform
        /// to the ERC20 specification
        /// @dev The pool interface is broken up into many smaller pieces
        interface IUniswapV3Pool is
            IUniswapV3PoolImmutables,
            IUniswapV3PoolState,
            IUniswapV3PoolDerivedState,
            IUniswapV3PoolActions,
            IUniswapV3PoolOwnerActions,
            IUniswapV3PoolEvents
        {
        }
        // SPDX-License-Identifier: GPL-2.0-or-later
        pragma solidity >=0.5.0;
        /// @title Callback for IUniswapV3PoolActions#swap
        /// @notice Any contract that calls IUniswapV3PoolActions#swap must implement this interface
        interface IUniswapV3SwapCallback {
            /// @notice Called to `msg.sender` after executing a swap via IUniswapV3Pool#swap.
            /// @dev In the implementation you must pay the pool tokens owed for the swap.
            /// The caller of this method must be checked to be a UniswapV3Pool deployed by the canonical UniswapV3Factory.
            /// amount0Delta and amount1Delta can both be 0 if no tokens were swapped.
            /// @param amount0Delta The amount of token0 that was sent (negative) or must be received (positive) by the pool by
            /// the end of the swap. If positive, the callback must send that amount of token0 to the pool.
            /// @param amount1Delta The amount of token1 that was sent (negative) or must be received (positive) by the pool by
            /// the end of the swap. If positive, the callback must send that amount of token1 to the pool.
            /// @param data Any data passed through by the caller via the IUniswapV3PoolActions#swap call
            function uniswapV3SwapCallback(
                int256 amount0Delta,
                int256 amount1Delta,
                bytes calldata data
            ) external;
        }
        // SPDX-License-Identifier: GPL-2.0-or-later
        pragma solidity >=0.5.0;
        /// @title Permissionless pool actions
        /// @notice Contains pool methods that can be called by anyone
        interface IUniswapV3PoolActions {
            /// @notice Sets the initial price for the pool
            /// @dev Price is represented as a sqrt(amountToken1/amountToken0) Q64.96 value
            /// @param sqrtPriceX96 the initial sqrt price of the pool as a Q64.96
            function initialize(uint160 sqrtPriceX96) external;
            /// @notice Adds liquidity for the given recipient/tickLower/tickUpper position
            /// @dev The caller of this method receives a callback in the form of IUniswapV3MintCallback#uniswapV3MintCallback
            /// in which they must pay any token0 or token1 owed for the liquidity. The amount of token0/token1 due depends
            /// on tickLower, tickUpper, the amount of liquidity, and the current price.
            /// @param recipient The address for which the liquidity will be created
            /// @param tickLower The lower tick of the position in which to add liquidity
            /// @param tickUpper The upper tick of the position in which to add liquidity
            /// @param amount The amount of liquidity to mint
            /// @param data Any data that should be passed through to the callback
            /// @return amount0 The amount of token0 that was paid to mint the given amount of liquidity. Matches the value in the callback
            /// @return amount1 The amount of token1 that was paid to mint the given amount of liquidity. Matches the value in the callback
            function mint(
                address recipient,
                int24 tickLower,
                int24 tickUpper,
                uint128 amount,
                bytes calldata data
            ) external returns (uint256 amount0, uint256 amount1);
            /// @notice Collects tokens owed to a position
            /// @dev Does not recompute fees earned, which must be done either via mint or burn of any amount of liquidity.
            /// Collect must be called by the position owner. To withdraw only token0 or only token1, amount0Requested or
            /// amount1Requested may be set to zero. To withdraw all tokens owed, caller may pass any value greater than the
            /// actual tokens owed, e.g. type(uint128).max. Tokens owed may be from accumulated swap fees or burned liquidity.
            /// @param recipient The address which should receive the fees collected
            /// @param tickLower The lower tick of the position for which to collect fees
            /// @param tickUpper The upper tick of the position for which to collect fees
            /// @param amount0Requested How much token0 should be withdrawn from the fees owed
            /// @param amount1Requested How much token1 should be withdrawn from the fees owed
            /// @return amount0 The amount of fees collected in token0
            /// @return amount1 The amount of fees collected in token1
            function collect(
                address recipient,
                int24 tickLower,
                int24 tickUpper,
                uint128 amount0Requested,
                uint128 amount1Requested
            ) external returns (uint128 amount0, uint128 amount1);
            /// @notice Burn liquidity from the sender and account tokens owed for the liquidity to the position
            /// @dev Can be used to trigger a recalculation of fees owed to a position by calling with an amount of 0
            /// @dev Fees must be collected separately via a call to #collect
            /// @param tickLower The lower tick of the position for which to burn liquidity
            /// @param tickUpper The upper tick of the position for which to burn liquidity
            /// @param amount How much liquidity to burn
            /// @return amount0 The amount of token0 sent to the recipient
            /// @return amount1 The amount of token1 sent to the recipient
            function burn(
                int24 tickLower,
                int24 tickUpper,
                uint128 amount
            ) external returns (uint256 amount0, uint256 amount1);
            /// @notice Swap token0 for token1, or token1 for token0
            /// @dev The caller of this method receives a callback in the form of IUniswapV3SwapCallback#uniswapV3SwapCallback
            /// @param recipient The address to receive the output of the swap
            /// @param zeroForOne The direction of the swap, true for token0 to token1, false for token1 to token0
            /// @param amountSpecified The amount of the swap, which implicitly configures the swap as exact input (positive), or exact output (negative)
            /// @param sqrtPriceLimitX96 The Q64.96 sqrt price limit. If zero for one, the price cannot be less than this
            /// value after the swap. If one for zero, the price cannot be greater than this value after the swap
            /// @param data Any data to be passed through to the callback
            /// @return amount0 The delta of the balance of token0 of the pool, exact when negative, minimum when positive
            /// @return amount1 The delta of the balance of token1 of the pool, exact when negative, minimum when positive
            function swap(
                address recipient,
                bool zeroForOne,
                int256 amountSpecified,
                uint160 sqrtPriceLimitX96,
                bytes calldata data
            ) external returns (int256 amount0, int256 amount1);
            /// @notice Receive token0 and/or token1 and pay it back, plus a fee, in the callback
            /// @dev The caller of this method receives a callback in the form of IUniswapV3FlashCallback#uniswapV3FlashCallback
            /// @dev Can be used to donate underlying tokens pro-rata to currently in-range liquidity providers by calling
            /// with 0 amount{0,1} and sending the donation amount(s) from the callback
            /// @param recipient The address which will receive the token0 and token1 amounts
            /// @param amount0 The amount of token0 to send
            /// @param amount1 The amount of token1 to send
            /// @param data Any data to be passed through to the callback
            function flash(
                address recipient,
                uint256 amount0,
                uint256 amount1,
                bytes calldata data
            ) external;
            /// @notice Increase the maximum number of price and liquidity observations that this pool will store
            /// @dev This method is no-op if the pool already has an observationCardinalityNext greater than or equal to
            /// the input observationCardinalityNext.
            /// @param observationCardinalityNext The desired minimum number of observations for the pool to store
            function increaseObservationCardinalityNext(uint16 observationCardinalityNext) external;
        }
        // SPDX-License-Identifier: GPL-2.0-or-later
        pragma solidity >=0.5.0;
        /// @title Pool state that is not stored
        /// @notice Contains view functions to provide information about the pool that is computed rather than stored on the
        /// blockchain. The functions here may have variable gas costs.
        interface IUniswapV3PoolDerivedState {
            /// @notice Returns the cumulative tick and liquidity as of each timestamp `secondsAgo` from the current block timestamp
            /// @dev To get a time weighted average tick or liquidity-in-range, you must call this with two values, one representing
            /// the beginning of the period and another for the end of the period. E.g., to get the last hour time-weighted average tick,
            /// you must call it with secondsAgos = [3600, 0].
            /// @dev The time weighted average tick represents the geometric time weighted average price of the pool, in
            /// log base sqrt(1.0001) of token1 / token0. The TickMath library can be used to go from a tick value to a ratio.
            /// @param secondsAgos From how long ago each cumulative tick and liquidity value should be returned
            /// @return tickCumulatives Cumulative tick values as of each `secondsAgos` from the current block timestamp
            /// @return secondsPerLiquidityCumulativeX128s Cumulative seconds per liquidity-in-range value as of each `secondsAgos` from the current block
            /// timestamp
            function observe(uint32[] calldata secondsAgos)
                external
                view
                returns (int56[] memory tickCumulatives, uint160[] memory secondsPerLiquidityCumulativeX128s);
            /// @notice Returns a snapshot of the tick cumulative, seconds per liquidity and seconds inside a tick range
            /// @dev Snapshots must only be compared to other snapshots, taken over a period for which a position existed.
            /// I.e., snapshots cannot be compared if a position is not held for the entire period between when the first
            /// snapshot is taken and the second snapshot is taken.
            /// @param tickLower The lower tick of the range
            /// @param tickUpper The upper tick of the range
            /// @return tickCumulativeInside The snapshot of the tick accumulator for the range
            /// @return secondsPerLiquidityInsideX128 The snapshot of seconds per liquidity for the range
            /// @return secondsInside The snapshot of seconds per liquidity for the range
            function snapshotCumulativesInside(int24 tickLower, int24 tickUpper)
                external
                view
                returns (
                    int56 tickCumulativeInside,
                    uint160 secondsPerLiquidityInsideX128,
                    uint32 secondsInside
                );
        }
        // SPDX-License-Identifier: GPL-2.0-or-later
        pragma solidity >=0.5.0;
        /// @title Events emitted by a pool
        /// @notice Contains all events emitted by the pool
        interface IUniswapV3PoolEvents {
            /// @notice Emitted exactly once by a pool when #initialize is first called on the pool
            /// @dev Mint/Burn/Swap cannot be emitted by the pool before Initialize
            /// @param sqrtPriceX96 The initial sqrt price of the pool, as a Q64.96
            /// @param tick The initial tick of the pool, i.e. log base 1.0001 of the starting price of the pool
            event Initialize(uint160 sqrtPriceX96, int24 tick);
            /// @notice Emitted when liquidity is minted for a given position
            /// @param sender The address that minted the liquidity
            /// @param owner The owner of the position and recipient of any minted liquidity
            /// @param tickLower The lower tick of the position
            /// @param tickUpper The upper tick of the position
            /// @param amount The amount of liquidity minted to the position range
            /// @param amount0 How much token0 was required for the minted liquidity
            /// @param amount1 How much token1 was required for the minted liquidity
            event Mint(
                address sender,
                address indexed owner,
                int24 indexed tickLower,
                int24 indexed tickUpper,
                uint128 amount,
                uint256 amount0,
                uint256 amount1
            );
            /// @notice Emitted when fees are collected by the owner of a position
            /// @dev Collect events may be emitted with zero amount0 and amount1 when the caller chooses not to collect fees
            /// @param owner The owner of the position for which fees are collected
            /// @param tickLower The lower tick of the position
            /// @param tickUpper The upper tick of the position
            /// @param amount0 The amount of token0 fees collected
            /// @param amount1 The amount of token1 fees collected
            event Collect(
                address indexed owner,
                address recipient,
                int24 indexed tickLower,
                int24 indexed tickUpper,
                uint128 amount0,
                uint128 amount1
            );
            /// @notice Emitted when a position's liquidity is removed
            /// @dev Does not withdraw any fees earned by the liquidity position, which must be withdrawn via #collect
            /// @param owner The owner of the position for which liquidity is removed
            /// @param tickLower The lower tick of the position
            /// @param tickUpper The upper tick of the position
            /// @param amount The amount of liquidity to remove
            /// @param amount0 The amount of token0 withdrawn
            /// @param amount1 The amount of token1 withdrawn
            event Burn(
                address indexed owner,
                int24 indexed tickLower,
                int24 indexed tickUpper,
                uint128 amount,
                uint256 amount0,
                uint256 amount1
            );
            /// @notice Emitted by the pool for any swaps between token0 and token1
            /// @param sender The address that initiated the swap call, and that received the callback
            /// @param recipient The address that received the output of the swap
            /// @param amount0 The delta of the token0 balance of the pool
            /// @param amount1 The delta of the token1 balance of the pool
            /// @param sqrtPriceX96 The sqrt(price) of the pool after the swap, as a Q64.96
            /// @param liquidity The liquidity of the pool after the swap
            /// @param tick The log base 1.0001 of price of the pool after the swap
            event Swap(
                address indexed sender,
                address indexed recipient,
                int256 amount0,
                int256 amount1,
                uint160 sqrtPriceX96,
                uint128 liquidity,
                int24 tick
            );
            /// @notice Emitted by the pool for any flashes of token0/token1
            /// @param sender The address that initiated the swap call, and that received the callback
            /// @param recipient The address that received the tokens from flash
            /// @param amount0 The amount of token0 that was flashed
            /// @param amount1 The amount of token1 that was flashed
            /// @param paid0 The amount of token0 paid for the flash, which can exceed the amount0 plus the fee
            /// @param paid1 The amount of token1 paid for the flash, which can exceed the amount1 plus the fee
            event Flash(
                address indexed sender,
                address indexed recipient,
                uint256 amount0,
                uint256 amount1,
                uint256 paid0,
                uint256 paid1
            );
            /// @notice Emitted by the pool for increases to the number of observations that can be stored
            /// @dev observationCardinalityNext is not the observation cardinality until an observation is written at the index
            /// just before a mint/swap/burn.
            /// @param observationCardinalityNextOld The previous value of the next observation cardinality
            /// @param observationCardinalityNextNew The updated value of the next observation cardinality
            event IncreaseObservationCardinalityNext(
                uint16 observationCardinalityNextOld,
                uint16 observationCardinalityNextNew
            );
            /// @notice Emitted when the protocol fee is changed by the pool
            /// @param feeProtocol0Old The previous value of the token0 protocol fee
            /// @param feeProtocol1Old The previous value of the token1 protocol fee
            /// @param feeProtocol0New The updated value of the token0 protocol fee
            /// @param feeProtocol1New The updated value of the token1 protocol fee
            event SetFeeProtocol(uint8 feeProtocol0Old, uint8 feeProtocol1Old, uint8 feeProtocol0New, uint8 feeProtocol1New);
            /// @notice Emitted when the collected protocol fees are withdrawn by the factory owner
            /// @param sender The address that collects the protocol fees
            /// @param recipient The address that receives the collected protocol fees
            /// @param amount0 The amount of token0 protocol fees that is withdrawn
            /// @param amount0 The amount of token1 protocol fees that is withdrawn
            event CollectProtocol(address indexed sender, address indexed recipient, uint128 amount0, uint128 amount1);
        }
        // SPDX-License-Identifier: GPL-2.0-or-later
        pragma solidity >=0.5.0;
        /// @title Pool state that never changes
        /// @notice These parameters are fixed for a pool forever, i.e., the methods will always return the same values
        interface IUniswapV3PoolImmutables {
            /// @notice The contract that deployed the pool, which must adhere to the IUniswapV3Factory interface
            /// @return The contract address
            function factory() external view returns (address);
            /// @notice The first of the two tokens of the pool, sorted by address
            /// @return The token contract address
            function token0() external view returns (address);
            /// @notice The second of the two tokens of the pool, sorted by address
            /// @return The token contract address
            function token1() external view returns (address);
            /// @notice The pool's fee in hundredths of a bip, i.e. 1e-6
            /// @return The fee
            function fee() external view returns (uint24);
            /// @notice The pool tick spacing
            /// @dev Ticks can only be used at multiples of this value, minimum of 1 and always positive
            /// e.g.: a tickSpacing of 3 means ticks can be initialized every 3rd tick, i.e., ..., -6, -3, 0, 3, 6, ...
            /// This value is an int24 to avoid casting even though it is always positive.
            /// @return The tick spacing
            function tickSpacing() external view returns (int24);
            /// @notice The maximum amount of position liquidity that can use any tick in the range
            /// @dev This parameter is enforced per tick to prevent liquidity from overflowing a uint128 at any point, and
            /// also prevents out-of-range liquidity from being used to prevent adding in-range liquidity to a pool
            /// @return The max amount of liquidity per tick
            function maxLiquidityPerTick() external view returns (uint128);
        }
        // SPDX-License-Identifier: GPL-2.0-or-later
        pragma solidity >=0.5.0;
        /// @title Permissioned pool actions
        /// @notice Contains pool methods that may only be called by the factory owner
        interface IUniswapV3PoolOwnerActions {
            /// @notice Set the denominator of the protocol's % share of the fees
            /// @param feeProtocol0 new protocol fee for token0 of the pool
            /// @param feeProtocol1 new protocol fee for token1 of the pool
            function setFeeProtocol(uint8 feeProtocol0, uint8 feeProtocol1) external;
            /// @notice Collect the protocol fee accrued to the pool
            /// @param recipient The address to which collected protocol fees should be sent
            /// @param amount0Requested The maximum amount of token0 to send, can be 0 to collect fees in only token1
            /// @param amount1Requested The maximum amount of token1 to send, can be 0 to collect fees in only token0
            /// @return amount0 The protocol fee collected in token0
            /// @return amount1 The protocol fee collected in token1
            function collectProtocol(
                address recipient,
                uint128 amount0Requested,
                uint128 amount1Requested
            ) external returns (uint128 amount0, uint128 amount1);
        }
        // SPDX-License-Identifier: GPL-2.0-or-later
        pragma solidity >=0.5.0;
        /// @title Pool state that can change
        /// @notice These methods compose the pool's state, and can change with any frequency including multiple times
        /// per transaction
        interface IUniswapV3PoolState {
            /// @notice The 0th storage slot in the pool stores many values, and is exposed as a single method to save gas
            /// when accessed externally.
            /// @return sqrtPriceX96 The current price of the pool as a sqrt(token1/token0) Q64.96 value
            /// tick The current tick of the pool, i.e. according to the last tick transition that was run.
            /// This value may not always be equal to SqrtTickMath.getTickAtSqrtRatio(sqrtPriceX96) if the price is on a tick
            /// boundary.
            /// observationIndex The index of the last oracle observation that was written,
            /// observationCardinality The current maximum number of observations stored in the pool,
            /// observationCardinalityNext The next maximum number of observations, to be updated when the observation.
            /// feeProtocol The protocol fee for both tokens of the pool.
            /// Encoded as two 4 bit values, where the protocol fee of token1 is shifted 4 bits and the protocol fee of token0
            /// is the lower 4 bits. Used as the denominator of a fraction of the swap fee, e.g. 4 means 1/4th of the swap fee.
            /// unlocked Whether the pool is currently locked to reentrancy
            function slot0()
                external
                view
                returns (
                    uint160 sqrtPriceX96,
                    int24 tick,
                    uint16 observationIndex,
                    uint16 observationCardinality,
                    uint16 observationCardinalityNext,
                    uint8 feeProtocol,
                    bool unlocked
                );
            /// @notice The fee growth as a Q128.128 fees of token0 collected per unit of liquidity for the entire life of the pool
            /// @dev This value can overflow the uint256
            function feeGrowthGlobal0X128() external view returns (uint256);
            /// @notice The fee growth as a Q128.128 fees of token1 collected per unit of liquidity for the entire life of the pool
            /// @dev This value can overflow the uint256
            function feeGrowthGlobal1X128() external view returns (uint256);
            /// @notice The amounts of token0 and token1 that are owed to the protocol
            /// @dev Protocol fees will never exceed uint128 max in either token
            function protocolFees() external view returns (uint128 token0, uint128 token1);
            /// @notice The currently in range liquidity available to the pool
            /// @dev This value has no relationship to the total liquidity across all ticks
            function liquidity() external view returns (uint128);
            /// @notice Look up information about a specific tick in the pool
            /// @param tick The tick to look up
            /// @return liquidityGross the total amount of position liquidity that uses the pool either as tick lower or
            /// tick upper,
            /// liquidityNet how much liquidity changes when the pool price crosses the tick,
            /// feeGrowthOutside0X128 the fee growth on the other side of the tick from the current tick in token0,
            /// feeGrowthOutside1X128 the fee growth on the other side of the tick from the current tick in token1,
            /// tickCumulativeOutside the cumulative tick value on the other side of the tick from the current tick
            /// secondsPerLiquidityOutsideX128 the seconds spent per liquidity on the other side of the tick from the current tick,
            /// secondsOutside the seconds spent on the other side of the tick from the current tick,
            /// initialized Set to true if the tick is initialized, i.e. liquidityGross is greater than 0, otherwise equal to false.
            /// Outside values can only be used if the tick is initialized, i.e. if liquidityGross is greater than 0.
            /// In addition, these values are only relative and must be used only in comparison to previous snapshots for
            /// a specific position.
            function ticks(int24 tick)
                external
                view
                returns (
                    uint128 liquidityGross,
                    int128 liquidityNet,
                    uint256 feeGrowthOutside0X128,
                    uint256 feeGrowthOutside1X128,
                    int56 tickCumulativeOutside,
                    uint160 secondsPerLiquidityOutsideX128,
                    uint32 secondsOutside,
                    bool initialized
                );
            /// @notice Returns 256 packed tick initialized boolean values. See TickBitmap for more information
            function tickBitmap(int16 wordPosition) external view returns (uint256);
            /// @notice Returns the information about a position by the position's key
            /// @param key The position's key is a hash of a preimage composed by the owner, tickLower and tickUpper
            /// @return _liquidity The amount of liquidity in the position,
            /// Returns feeGrowthInside0LastX128 fee growth of token0 inside the tick range as of the last mint/burn/poke,
            /// Returns feeGrowthInside1LastX128 fee growth of token1 inside the tick range as of the last mint/burn/poke,
            /// Returns tokensOwed0 the computed amount of token0 owed to the position as of the last mint/burn/poke,
            /// Returns tokensOwed1 the computed amount of token1 owed to the position as of the last mint/burn/poke
            function positions(bytes32 key)
                external
                view
                returns (
                    uint128 _liquidity,
                    uint256 feeGrowthInside0LastX128,
                    uint256 feeGrowthInside1LastX128,
                    uint128 tokensOwed0,
                    uint128 tokensOwed1
                );
            /// @notice Returns data about a specific observation index
            /// @param index The element of the observations array to fetch
            /// @dev You most likely want to use #observe() instead of this method to get an observation as of some amount of time
            /// ago, rather than at a specific index in the array.
            /// @return blockTimestamp The timestamp of the observation,
            /// Returns tickCumulative the tick multiplied by seconds elapsed for the life of the pool as of the observation timestamp,
            /// Returns secondsPerLiquidityCumulativeX128 the seconds per in range liquidity for the life of the pool as of the observation timestamp,
            /// Returns initialized whether the observation has been initialized and the values are safe to use
            function observations(uint256 index)
                external
                view
                returns (
                    uint32 blockTimestamp,
                    int56 tickCumulative,
                    uint160 secondsPerLiquidityCumulativeX128,
                    bool initialized
                );
        }
        // SPDX-License-Identifier: GPL-2.0-or-later
        pragma solidity >=0.5.0;
        /// @title Safe casting methods
        /// @notice Contains methods for safely casting between types
        library SafeCast {
            /// @notice Cast a uint256 to a uint160, revert on overflow
            /// @param y The uint256 to be downcasted
            /// @return z The downcasted integer, now type uint160
            function toUint160(uint256 y) internal pure returns (uint160 z) {
                require((z = uint160(y)) == y);
            }
            /// @notice Cast a int256 to a int128, revert on overflow or underflow
            /// @param y The int256 to be downcasted
            /// @return z The downcasted integer, now type int128
            function toInt128(int256 y) internal pure returns (int128 z) {
                require((z = int128(y)) == y);
            }
            /// @notice Cast a uint256 to a int256, revert on overflow
            /// @param y The uint256 to be casted
            /// @return z The casted integer, now type int256
            function toInt256(uint256 y) internal pure returns (int256 z) {
                require(y < 2**255);
                z = int256(y);
            }
        }
        

        File 2 of 4: 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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          17. Interpretation of Sections 15 and 16.
        
          If the disclaimer of warranty and limitation of liability provided
        above cannot be given local legal effect according to their terms,
        reviewing courts shall apply local law that most closely approximates
        an absolute waiver of all civil liability in connection with the
        Program, unless a warranty or assumption of liability accompanies a
        copy of the Program in return for a fee.
        
                             END OF TERMS AND CONDITIONS
        
                    How to Apply These Terms to Your New Programs
        
          If you develop a new program, and you want it to be of the greatest
        possible use to the public, the best way to achieve this is to make it
        free software which everyone can redistribute and change under these terms.
        
          To do so, attach the following notices to the program.  It is safest
        to attach them to the start of each source file to most effectively
        state the exclusion of warranty; and each file should have at least
        the "copyright" line and a pointer to where the full notice is found.
        
            <one line to give the program's name and a brief idea of what it does.>
            Copyright (C) <year>  <name of author>
        
            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/>.
        
        Also add information on how to contact you by electronic and paper mail.
        
          If the program does terminal interaction, make it output a short
        notice like this when it starts in an interactive mode:
        
            <program>  Copyright (C) <year>  <name of author>
            This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
            This is free software, and you are welcome to redistribute it
            under certain conditions; type `show c' for details.
        
        The hypothetical commands `show w' and `show c' should show the appropriate
        parts of the General Public License.  Of course, your program's commands
        might be different; for a GUI interface, you would use an "about box".
        
          You should also get your employer (if you work as a programmer) or school,
        if any, to sign a "copyright disclaimer" for the program, if necessary.
        For more information on this, and how to apply and follow the GNU GPL, see
        <http://www.gnu.org/licenses/>.
        
          The GNU General Public License does not permit incorporating your program
        into proprietary programs.  If your program is a subroutine library, you
        may consider it more useful to permit linking proprietary applications with
        the library.  If this is what you want to do, use the GNU Lesser General
        Public License instead of this License.  But first, please read
        <http://www.gnu.org/philosophy/why-not-lgpl.html>.
        
        */

        File 3 of 4: UniswapV3Pool
        // SPDX-License-Identifier: BUSL-1.1
        pragma solidity =0.7.6;
        import './interfaces/IUniswapV3Pool.sol';
        import './NoDelegateCall.sol';
        import './libraries/LowGasSafeMath.sol';
        import './libraries/SafeCast.sol';
        import './libraries/Tick.sol';
        import './libraries/TickBitmap.sol';
        import './libraries/Position.sol';
        import './libraries/Oracle.sol';
        import './libraries/FullMath.sol';
        import './libraries/FixedPoint128.sol';
        import './libraries/TransferHelper.sol';
        import './libraries/TickMath.sol';
        import './libraries/LiquidityMath.sol';
        import './libraries/SqrtPriceMath.sol';
        import './libraries/SwapMath.sol';
        import './interfaces/IUniswapV3PoolDeployer.sol';
        import './interfaces/IUniswapV3Factory.sol';
        import './interfaces/IERC20Minimal.sol';
        import './interfaces/callback/IUniswapV3MintCallback.sol';
        import './interfaces/callback/IUniswapV3SwapCallback.sol';
        import './interfaces/callback/IUniswapV3FlashCallback.sol';
        contract UniswapV3Pool is IUniswapV3Pool, NoDelegateCall {
            using LowGasSafeMath for uint256;
            using LowGasSafeMath for int256;
            using SafeCast for uint256;
            using SafeCast for int256;
            using Tick for mapping(int24 => Tick.Info);
            using TickBitmap for mapping(int16 => uint256);
            using Position for mapping(bytes32 => Position.Info);
            using Position for Position.Info;
            using Oracle for Oracle.Observation[65535];
            /// @inheritdoc IUniswapV3PoolImmutables
            address public immutable override factory;
            /// @inheritdoc IUniswapV3PoolImmutables
            address public immutable override token0;
            /// @inheritdoc IUniswapV3PoolImmutables
            address public immutable override token1;
            /// @inheritdoc IUniswapV3PoolImmutables
            uint24 public immutable override fee;
            /// @inheritdoc IUniswapV3PoolImmutables
            int24 public immutable override tickSpacing;
            /// @inheritdoc IUniswapV3PoolImmutables
            uint128 public immutable override maxLiquidityPerTick;
            struct Slot0 {
                // the current price
                uint160 sqrtPriceX96;
                // the current tick
                int24 tick;
                // the most-recently updated index of the observations array
                uint16 observationIndex;
                // the current maximum number of observations that are being stored
                uint16 observationCardinality;
                // the next maximum number of observations to store, triggered in observations.write
                uint16 observationCardinalityNext;
                // the current protocol fee as a percentage of the swap fee taken on withdrawal
                // represented as an integer denominator (1/x)%
                uint8 feeProtocol;
                // whether the pool is locked
                bool unlocked;
            }
            /// @inheritdoc IUniswapV3PoolState
            Slot0 public override slot0;
            /// @inheritdoc IUniswapV3PoolState
            uint256 public override feeGrowthGlobal0X128;
            /// @inheritdoc IUniswapV3PoolState
            uint256 public override feeGrowthGlobal1X128;
            // accumulated protocol fees in token0/token1 units
            struct ProtocolFees {
                uint128 token0;
                uint128 token1;
            }
            /// @inheritdoc IUniswapV3PoolState
            ProtocolFees public override protocolFees;
            /// @inheritdoc IUniswapV3PoolState
            uint128 public override liquidity;
            /// @inheritdoc IUniswapV3PoolState
            mapping(int24 => Tick.Info) public override ticks;
            /// @inheritdoc IUniswapV3PoolState
            mapping(int16 => uint256) public override tickBitmap;
            /// @inheritdoc IUniswapV3PoolState
            mapping(bytes32 => Position.Info) public override positions;
            /// @inheritdoc IUniswapV3PoolState
            Oracle.Observation[65535] public override observations;
            /// @dev Mutually exclusive reentrancy protection into the pool to/from a method. This method also prevents entrance
            /// to a function before the pool is initialized. The reentrancy guard is required throughout the contract because
            /// we use balance checks to determine the payment status of interactions such as mint, swap and flash.
            modifier lock() {
                require(slot0.unlocked, 'LOK');
                slot0.unlocked = false;
                _;
                slot0.unlocked = true;
            }
            /// @dev Prevents calling a function from anyone except the address returned by IUniswapV3Factory#owner()
            modifier onlyFactoryOwner() {
                require(msg.sender == IUniswapV3Factory(factory).owner());
                _;
            }
            constructor() {
                int24 _tickSpacing;
                (factory, token0, token1, fee, _tickSpacing) = IUniswapV3PoolDeployer(msg.sender).parameters();
                tickSpacing = _tickSpacing;
                maxLiquidityPerTick = Tick.tickSpacingToMaxLiquidityPerTick(_tickSpacing);
            }
            /// @dev Common checks for valid tick inputs.
            function checkTicks(int24 tickLower, int24 tickUpper) private pure {
                require(tickLower < tickUpper, 'TLU');
                require(tickLower >= TickMath.MIN_TICK, 'TLM');
                require(tickUpper <= TickMath.MAX_TICK, 'TUM');
            }
            /// @dev Returns the block timestamp truncated to 32 bits, i.e. mod 2**32. This method is overridden in tests.
            function _blockTimestamp() internal view virtual returns (uint32) {
                return uint32(block.timestamp); // truncation is desired
            }
            /// @dev Get the pool's balance of token0
            /// @dev This function is gas optimized to avoid a redundant extcodesize check in addition to the returndatasize
            /// check
            function balance0() private view returns (uint256) {
                (bool success, bytes memory data) =
                    token0.staticcall(abi.encodeWithSelector(IERC20Minimal.balanceOf.selector, address(this)));
                require(success && data.length >= 32);
                return abi.decode(data, (uint256));
            }
            /// @dev Get the pool's balance of token1
            /// @dev This function is gas optimized to avoid a redundant extcodesize check in addition to the returndatasize
            /// check
            function balance1() private view returns (uint256) {
                (bool success, bytes memory data) =
                    token1.staticcall(abi.encodeWithSelector(IERC20Minimal.balanceOf.selector, address(this)));
                require(success && data.length >= 32);
                return abi.decode(data, (uint256));
            }
            /// @inheritdoc IUniswapV3PoolDerivedState
            function snapshotCumulativesInside(int24 tickLower, int24 tickUpper)
                external
                view
                override
                noDelegateCall
                returns (
                    int56 tickCumulativeInside,
                    uint160 secondsPerLiquidityInsideX128,
                    uint32 secondsInside
                )
            {
                checkTicks(tickLower, tickUpper);
                int56 tickCumulativeLower;
                int56 tickCumulativeUpper;
                uint160 secondsPerLiquidityOutsideLowerX128;
                uint160 secondsPerLiquidityOutsideUpperX128;
                uint32 secondsOutsideLower;
                uint32 secondsOutsideUpper;
                {
                    Tick.Info storage lower = ticks[tickLower];
                    Tick.Info storage upper = ticks[tickUpper];
                    bool initializedLower;
                    (tickCumulativeLower, secondsPerLiquidityOutsideLowerX128, secondsOutsideLower, initializedLower) = (
                        lower.tickCumulativeOutside,
                        lower.secondsPerLiquidityOutsideX128,
                        lower.secondsOutside,
                        lower.initialized
                    );
                    require(initializedLower);
                    bool initializedUpper;
                    (tickCumulativeUpper, secondsPerLiquidityOutsideUpperX128, secondsOutsideUpper, initializedUpper) = (
                        upper.tickCumulativeOutside,
                        upper.secondsPerLiquidityOutsideX128,
                        upper.secondsOutside,
                        upper.initialized
                    );
                    require(initializedUpper);
                }
                Slot0 memory _slot0 = slot0;
                if (_slot0.tick < tickLower) {
                    return (
                        tickCumulativeLower - tickCumulativeUpper,
                        secondsPerLiquidityOutsideLowerX128 - secondsPerLiquidityOutsideUpperX128,
                        secondsOutsideLower - secondsOutsideUpper
                    );
                } else if (_slot0.tick < tickUpper) {
                    uint32 time = _blockTimestamp();
                    (int56 tickCumulative, uint160 secondsPerLiquidityCumulativeX128) =
                        observations.observeSingle(
                            time,
                            0,
                            _slot0.tick,
                            _slot0.observationIndex,
                            liquidity,
                            _slot0.observationCardinality
                        );
                    return (
                        tickCumulative - tickCumulativeLower - tickCumulativeUpper,
                        secondsPerLiquidityCumulativeX128 -
                            secondsPerLiquidityOutsideLowerX128 -
                            secondsPerLiquidityOutsideUpperX128,
                        time - secondsOutsideLower - secondsOutsideUpper
                    );
                } else {
                    return (
                        tickCumulativeUpper - tickCumulativeLower,
                        secondsPerLiquidityOutsideUpperX128 - secondsPerLiquidityOutsideLowerX128,
                        secondsOutsideUpper - secondsOutsideLower
                    );
                }
            }
            /// @inheritdoc IUniswapV3PoolDerivedState
            function observe(uint32[] calldata secondsAgos)
                external
                view
                override
                noDelegateCall
                returns (int56[] memory tickCumulatives, uint160[] memory secondsPerLiquidityCumulativeX128s)
            {
                return
                    observations.observe(
                        _blockTimestamp(),
                        secondsAgos,
                        slot0.tick,
                        slot0.observationIndex,
                        liquidity,
                        slot0.observationCardinality
                    );
            }
            /// @inheritdoc IUniswapV3PoolActions
            function increaseObservationCardinalityNext(uint16 observationCardinalityNext)
                external
                override
                lock
                noDelegateCall
            {
                uint16 observationCardinalityNextOld = slot0.observationCardinalityNext; // for the event
                uint16 observationCardinalityNextNew =
                    observations.grow(observationCardinalityNextOld, observationCardinalityNext);
                slot0.observationCardinalityNext = observationCardinalityNextNew;
                if (observationCardinalityNextOld != observationCardinalityNextNew)
                    emit IncreaseObservationCardinalityNext(observationCardinalityNextOld, observationCardinalityNextNew);
            }
            /// @inheritdoc IUniswapV3PoolActions
            /// @dev not locked because it initializes unlocked
            function initialize(uint160 sqrtPriceX96) external override {
                require(slot0.sqrtPriceX96 == 0, 'AI');
                int24 tick = TickMath.getTickAtSqrtRatio(sqrtPriceX96);
                (uint16 cardinality, uint16 cardinalityNext) = observations.initialize(_blockTimestamp());
                slot0 = Slot0({
                    sqrtPriceX96: sqrtPriceX96,
                    tick: tick,
                    observationIndex: 0,
                    observationCardinality: cardinality,
                    observationCardinalityNext: cardinalityNext,
                    feeProtocol: 0,
                    unlocked: true
                });
                emit Initialize(sqrtPriceX96, tick);
            }
            struct ModifyPositionParams {
                // the address that owns the position
                address owner;
                // the lower and upper tick of the position
                int24 tickLower;
                int24 tickUpper;
                // any change in liquidity
                int128 liquidityDelta;
            }
            /// @dev Effect some changes to a position
            /// @param params the position details and the change to the position's liquidity to effect
            /// @return position a storage pointer referencing the position with the given owner and tick range
            /// @return amount0 the amount of token0 owed to the pool, negative if the pool should pay the recipient
            /// @return amount1 the amount of token1 owed to the pool, negative if the pool should pay the recipient
            function _modifyPosition(ModifyPositionParams memory params)
                private
                noDelegateCall
                returns (
                    Position.Info storage position,
                    int256 amount0,
                    int256 amount1
                )
            {
                checkTicks(params.tickLower, params.tickUpper);
                Slot0 memory _slot0 = slot0; // SLOAD for gas optimization
                position = _updatePosition(
                    params.owner,
                    params.tickLower,
                    params.tickUpper,
                    params.liquidityDelta,
                    _slot0.tick
                );
                if (params.liquidityDelta != 0) {
                    if (_slot0.tick < params.tickLower) {
                        // current tick is below the passed range; liquidity can only become in range by crossing from left to
                        // right, when we'll need _more_ token0 (it's becoming more valuable) so user must provide it
                        amount0 = SqrtPriceMath.getAmount0Delta(
                            TickMath.getSqrtRatioAtTick(params.tickLower),
                            TickMath.getSqrtRatioAtTick(params.tickUpper),
                            params.liquidityDelta
                        );
                    } else if (_slot0.tick < params.tickUpper) {
                        // current tick is inside the passed range
                        uint128 liquidityBefore = liquidity; // SLOAD for gas optimization
                        // write an oracle entry
                        (slot0.observationIndex, slot0.observationCardinality) = observations.write(
                            _slot0.observationIndex,
                            _blockTimestamp(),
                            _slot0.tick,
                            liquidityBefore,
                            _slot0.observationCardinality,
                            _slot0.observationCardinalityNext
                        );
                        amount0 = SqrtPriceMath.getAmount0Delta(
                            _slot0.sqrtPriceX96,
                            TickMath.getSqrtRatioAtTick(params.tickUpper),
                            params.liquidityDelta
                        );
                        amount1 = SqrtPriceMath.getAmount1Delta(
                            TickMath.getSqrtRatioAtTick(params.tickLower),
                            _slot0.sqrtPriceX96,
                            params.liquidityDelta
                        );
                        liquidity = LiquidityMath.addDelta(liquidityBefore, params.liquidityDelta);
                    } else {
                        // current tick is above the passed range; liquidity can only become in range by crossing from right to
                        // left, when we'll need _more_ token1 (it's becoming more valuable) so user must provide it
                        amount1 = SqrtPriceMath.getAmount1Delta(
                            TickMath.getSqrtRatioAtTick(params.tickLower),
                            TickMath.getSqrtRatioAtTick(params.tickUpper),
                            params.liquidityDelta
                        );
                    }
                }
            }
            /// @dev Gets and updates a position with the given liquidity delta
            /// @param owner the owner of the position
            /// @param tickLower the lower tick of the position's tick range
            /// @param tickUpper the upper tick of the position's tick range
            /// @param tick the current tick, passed to avoid sloads
            function _updatePosition(
                address owner,
                int24 tickLower,
                int24 tickUpper,
                int128 liquidityDelta,
                int24 tick
            ) private returns (Position.Info storage position) {
                position = positions.get(owner, tickLower, tickUpper);
                uint256 _feeGrowthGlobal0X128 = feeGrowthGlobal0X128; // SLOAD for gas optimization
                uint256 _feeGrowthGlobal1X128 = feeGrowthGlobal1X128; // SLOAD for gas optimization
                // if we need to update the ticks, do it
                bool flippedLower;
                bool flippedUpper;
                if (liquidityDelta != 0) {
                    uint32 time = _blockTimestamp();
                    (int56 tickCumulative, uint160 secondsPerLiquidityCumulativeX128) =
                        observations.observeSingle(
                            time,
                            0,
                            slot0.tick,
                            slot0.observationIndex,
                            liquidity,
                            slot0.observationCardinality
                        );
                    flippedLower = ticks.update(
                        tickLower,
                        tick,
                        liquidityDelta,
                        _feeGrowthGlobal0X128,
                        _feeGrowthGlobal1X128,
                        secondsPerLiquidityCumulativeX128,
                        tickCumulative,
                        time,
                        false,
                        maxLiquidityPerTick
                    );
                    flippedUpper = ticks.update(
                        tickUpper,
                        tick,
                        liquidityDelta,
                        _feeGrowthGlobal0X128,
                        _feeGrowthGlobal1X128,
                        secondsPerLiquidityCumulativeX128,
                        tickCumulative,
                        time,
                        true,
                        maxLiquidityPerTick
                    );
                    if (flippedLower) {
                        tickBitmap.flipTick(tickLower, tickSpacing);
                    }
                    if (flippedUpper) {
                        tickBitmap.flipTick(tickUpper, tickSpacing);
                    }
                }
                (uint256 feeGrowthInside0X128, uint256 feeGrowthInside1X128) =
                    ticks.getFeeGrowthInside(tickLower, tickUpper, tick, _feeGrowthGlobal0X128, _feeGrowthGlobal1X128);
                position.update(liquidityDelta, feeGrowthInside0X128, feeGrowthInside1X128);
                // clear any tick data that is no longer needed
                if (liquidityDelta < 0) {
                    if (flippedLower) {
                        ticks.clear(tickLower);
                    }
                    if (flippedUpper) {
                        ticks.clear(tickUpper);
                    }
                }
            }
            /// @inheritdoc IUniswapV3PoolActions
            /// @dev noDelegateCall is applied indirectly via _modifyPosition
            function mint(
                address recipient,
                int24 tickLower,
                int24 tickUpper,
                uint128 amount,
                bytes calldata data
            ) external override lock returns (uint256 amount0, uint256 amount1) {
                require(amount > 0);
                (, int256 amount0Int, int256 amount1Int) =
                    _modifyPosition(
                        ModifyPositionParams({
                            owner: recipient,
                            tickLower: tickLower,
                            tickUpper: tickUpper,
                            liquidityDelta: int256(amount).toInt128()
                        })
                    );
                amount0 = uint256(amount0Int);
                amount1 = uint256(amount1Int);
                uint256 balance0Before;
                uint256 balance1Before;
                if (amount0 > 0) balance0Before = balance0();
                if (amount1 > 0) balance1Before = balance1();
                IUniswapV3MintCallback(msg.sender).uniswapV3MintCallback(amount0, amount1, data);
                if (amount0 > 0) require(balance0Before.add(amount0) <= balance0(), 'M0');
                if (amount1 > 0) require(balance1Before.add(amount1) <= balance1(), 'M1');
                emit Mint(msg.sender, recipient, tickLower, tickUpper, amount, amount0, amount1);
            }
            /// @inheritdoc IUniswapV3PoolActions
            function collect(
                address recipient,
                int24 tickLower,
                int24 tickUpper,
                uint128 amount0Requested,
                uint128 amount1Requested
            ) external override lock returns (uint128 amount0, uint128 amount1) {
                // we don't need to checkTicks here, because invalid positions will never have non-zero tokensOwed{0,1}
                Position.Info storage position = positions.get(msg.sender, tickLower, tickUpper);
                amount0 = amount0Requested > position.tokensOwed0 ? position.tokensOwed0 : amount0Requested;
                amount1 = amount1Requested > position.tokensOwed1 ? position.tokensOwed1 : amount1Requested;
                if (amount0 > 0) {
                    position.tokensOwed0 -= amount0;
                    TransferHelper.safeTransfer(token0, recipient, amount0);
                }
                if (amount1 > 0) {
                    position.tokensOwed1 -= amount1;
                    TransferHelper.safeTransfer(token1, recipient, amount1);
                }
                emit Collect(msg.sender, recipient, tickLower, tickUpper, amount0, amount1);
            }
            /// @inheritdoc IUniswapV3PoolActions
            /// @dev noDelegateCall is applied indirectly via _modifyPosition
            function burn(
                int24 tickLower,
                int24 tickUpper,
                uint128 amount
            ) external override lock returns (uint256 amount0, uint256 amount1) {
                (Position.Info storage position, int256 amount0Int, int256 amount1Int) =
                    _modifyPosition(
                        ModifyPositionParams({
                            owner: msg.sender,
                            tickLower: tickLower,
                            tickUpper: tickUpper,
                            liquidityDelta: -int256(amount).toInt128()
                        })
                    );
                amount0 = uint256(-amount0Int);
                amount1 = uint256(-amount1Int);
                if (amount0 > 0 || amount1 > 0) {
                    (position.tokensOwed0, position.tokensOwed1) = (
                        position.tokensOwed0 + uint128(amount0),
                        position.tokensOwed1 + uint128(amount1)
                    );
                }
                emit Burn(msg.sender, tickLower, tickUpper, amount, amount0, amount1);
            }
            struct SwapCache {
                // the protocol fee for the input token
                uint8 feeProtocol;
                // liquidity at the beginning of the swap
                uint128 liquidityStart;
                // the timestamp of the current block
                uint32 blockTimestamp;
                // the current value of the tick accumulator, computed only if we cross an initialized tick
                int56 tickCumulative;
                // the current value of seconds per liquidity accumulator, computed only if we cross an initialized tick
                uint160 secondsPerLiquidityCumulativeX128;
                // whether we've computed and cached the above two accumulators
                bool computedLatestObservation;
            }
            // the top level state of the swap, the results of which are recorded in storage at the end
            struct SwapState {
                // the amount remaining to be swapped in/out of the input/output asset
                int256 amountSpecifiedRemaining;
                // the amount already swapped out/in of the output/input asset
                int256 amountCalculated;
                // current sqrt(price)
                uint160 sqrtPriceX96;
                // the tick associated with the current price
                int24 tick;
                // the global fee growth of the input token
                uint256 feeGrowthGlobalX128;
                // amount of input token paid as protocol fee
                uint128 protocolFee;
                // the current liquidity in range
                uint128 liquidity;
            }
            struct StepComputations {
                // the price at the beginning of the step
                uint160 sqrtPriceStartX96;
                // the next tick to swap to from the current tick in the swap direction
                int24 tickNext;
                // whether tickNext is initialized or not
                bool initialized;
                // sqrt(price) for the next tick (1/0)
                uint160 sqrtPriceNextX96;
                // how much is being swapped in in this step
                uint256 amountIn;
                // how much is being swapped out
                uint256 amountOut;
                // how much fee is being paid in
                uint256 feeAmount;
            }
            /// @inheritdoc IUniswapV3PoolActions
            function swap(
                address recipient,
                bool zeroForOne,
                int256 amountSpecified,
                uint160 sqrtPriceLimitX96,
                bytes calldata data
            ) external override noDelegateCall returns (int256 amount0, int256 amount1) {
                require(amountSpecified != 0, 'AS');
                Slot0 memory slot0Start = slot0;
                require(slot0Start.unlocked, 'LOK');
                require(
                    zeroForOne
                        ? sqrtPriceLimitX96 < slot0Start.sqrtPriceX96 && sqrtPriceLimitX96 > TickMath.MIN_SQRT_RATIO
                        : sqrtPriceLimitX96 > slot0Start.sqrtPriceX96 && sqrtPriceLimitX96 < TickMath.MAX_SQRT_RATIO,
                    'SPL'
                );
                slot0.unlocked = false;
                SwapCache memory cache =
                    SwapCache({
                        liquidityStart: liquidity,
                        blockTimestamp: _blockTimestamp(),
                        feeProtocol: zeroForOne ? (slot0Start.feeProtocol % 16) : (slot0Start.feeProtocol >> 4),
                        secondsPerLiquidityCumulativeX128: 0,
                        tickCumulative: 0,
                        computedLatestObservation: false
                    });
                bool exactInput = amountSpecified > 0;
                SwapState memory state =
                    SwapState({
                        amountSpecifiedRemaining: amountSpecified,
                        amountCalculated: 0,
                        sqrtPriceX96: slot0Start.sqrtPriceX96,
                        tick: slot0Start.tick,
                        feeGrowthGlobalX128: zeroForOne ? feeGrowthGlobal0X128 : feeGrowthGlobal1X128,
                        protocolFee: 0,
                        liquidity: cache.liquidityStart
                    });
                // continue swapping as long as we haven't used the entire input/output and haven't reached the price limit
                while (state.amountSpecifiedRemaining != 0 && state.sqrtPriceX96 != sqrtPriceLimitX96) {
                    StepComputations memory step;
                    step.sqrtPriceStartX96 = state.sqrtPriceX96;
                    (step.tickNext, step.initialized) = tickBitmap.nextInitializedTickWithinOneWord(
                        state.tick,
                        tickSpacing,
                        zeroForOne
                    );
                    // ensure that we do not overshoot the min/max tick, as the tick bitmap is not aware of these bounds
                    if (step.tickNext < TickMath.MIN_TICK) {
                        step.tickNext = TickMath.MIN_TICK;
                    } else if (step.tickNext > TickMath.MAX_TICK) {
                        step.tickNext = TickMath.MAX_TICK;
                    }
                    // get the price for the next tick
                    step.sqrtPriceNextX96 = TickMath.getSqrtRatioAtTick(step.tickNext);
                    // compute values to swap to the target tick, price limit, or point where input/output amount is exhausted
                    (state.sqrtPriceX96, step.amountIn, step.amountOut, step.feeAmount) = SwapMath.computeSwapStep(
                        state.sqrtPriceX96,
                        (zeroForOne ? step.sqrtPriceNextX96 < sqrtPriceLimitX96 : step.sqrtPriceNextX96 > sqrtPriceLimitX96)
                            ? sqrtPriceLimitX96
                            : step.sqrtPriceNextX96,
                        state.liquidity,
                        state.amountSpecifiedRemaining,
                        fee
                    );
                    if (exactInput) {
                        state.amountSpecifiedRemaining -= (step.amountIn + step.feeAmount).toInt256();
                        state.amountCalculated = state.amountCalculated.sub(step.amountOut.toInt256());
                    } else {
                        state.amountSpecifiedRemaining += step.amountOut.toInt256();
                        state.amountCalculated = state.amountCalculated.add((step.amountIn + step.feeAmount).toInt256());
                    }
                    // if the protocol fee is on, calculate how much is owed, decrement feeAmount, and increment protocolFee
                    if (cache.feeProtocol > 0) {
                        uint256 delta = step.feeAmount / cache.feeProtocol;
                        step.feeAmount -= delta;
                        state.protocolFee += uint128(delta);
                    }
                    // update global fee tracker
                    if (state.liquidity > 0)
                        state.feeGrowthGlobalX128 += FullMath.mulDiv(step.feeAmount, FixedPoint128.Q128, state.liquidity);
                    // shift tick if we reached the next price
                    if (state.sqrtPriceX96 == step.sqrtPriceNextX96) {
                        // if the tick is initialized, run the tick transition
                        if (step.initialized) {
                            // check for the placeholder value, which we replace with the actual value the first time the swap
                            // crosses an initialized tick
                            if (!cache.computedLatestObservation) {
                                (cache.tickCumulative, cache.secondsPerLiquidityCumulativeX128) = observations.observeSingle(
                                    cache.blockTimestamp,
                                    0,
                                    slot0Start.tick,
                                    slot0Start.observationIndex,
                                    cache.liquidityStart,
                                    slot0Start.observationCardinality
                                );
                                cache.computedLatestObservation = true;
                            }
                            int128 liquidityNet =
                                ticks.cross(
                                    step.tickNext,
                                    (zeroForOne ? state.feeGrowthGlobalX128 : feeGrowthGlobal0X128),
                                    (zeroForOne ? feeGrowthGlobal1X128 : state.feeGrowthGlobalX128),
                                    cache.secondsPerLiquidityCumulativeX128,
                                    cache.tickCumulative,
                                    cache.blockTimestamp
                                );
                            // if we're moving leftward, we interpret liquidityNet as the opposite sign
                            // safe because liquidityNet cannot be type(int128).min
                            if (zeroForOne) liquidityNet = -liquidityNet;
                            state.liquidity = LiquidityMath.addDelta(state.liquidity, liquidityNet);
                        }
                        state.tick = zeroForOne ? step.tickNext - 1 : step.tickNext;
                    } else if (state.sqrtPriceX96 != step.sqrtPriceStartX96) {
                        // recompute unless we're on a lower tick boundary (i.e. already transitioned ticks), and haven't moved
                        state.tick = TickMath.getTickAtSqrtRatio(state.sqrtPriceX96);
                    }
                }
                // update tick and write an oracle entry if the tick change
                if (state.tick != slot0Start.tick) {
                    (uint16 observationIndex, uint16 observationCardinality) =
                        observations.write(
                            slot0Start.observationIndex,
                            cache.blockTimestamp,
                            slot0Start.tick,
                            cache.liquidityStart,
                            slot0Start.observationCardinality,
                            slot0Start.observationCardinalityNext
                        );
                    (slot0.sqrtPriceX96, slot0.tick, slot0.observationIndex, slot0.observationCardinality) = (
                        state.sqrtPriceX96,
                        state.tick,
                        observationIndex,
                        observationCardinality
                    );
                } else {
                    // otherwise just update the price
                    slot0.sqrtPriceX96 = state.sqrtPriceX96;
                }
                // update liquidity if it changed
                if (cache.liquidityStart != state.liquidity) liquidity = state.liquidity;
                // update fee growth global and, if necessary, protocol fees
                // overflow is acceptable, protocol has to withdraw before it hits type(uint128).max fees
                if (zeroForOne) {
                    feeGrowthGlobal0X128 = state.feeGrowthGlobalX128;
                    if (state.protocolFee > 0) protocolFees.token0 += state.protocolFee;
                } else {
                    feeGrowthGlobal1X128 = state.feeGrowthGlobalX128;
                    if (state.protocolFee > 0) protocolFees.token1 += state.protocolFee;
                }
                (amount0, amount1) = zeroForOne == exactInput
                    ? (amountSpecified - state.amountSpecifiedRemaining, state.amountCalculated)
                    : (state.amountCalculated, amountSpecified - state.amountSpecifiedRemaining);
                // do the transfers and collect payment
                if (zeroForOne) {
                    if (amount1 < 0) TransferHelper.safeTransfer(token1, recipient, uint256(-amount1));
                    uint256 balance0Before = balance0();
                    IUniswapV3SwapCallback(msg.sender).uniswapV3SwapCallback(amount0, amount1, data);
                    require(balance0Before.add(uint256(amount0)) <= balance0(), 'IIA');
                } else {
                    if (amount0 < 0) TransferHelper.safeTransfer(token0, recipient, uint256(-amount0));
                    uint256 balance1Before = balance1();
                    IUniswapV3SwapCallback(msg.sender).uniswapV3SwapCallback(amount0, amount1, data);
                    require(balance1Before.add(uint256(amount1)) <= balance1(), 'IIA');
                }
                emit Swap(msg.sender, recipient, amount0, amount1, state.sqrtPriceX96, state.liquidity, state.tick);
                slot0.unlocked = true;
            }
            /// @inheritdoc IUniswapV3PoolActions
            function flash(
                address recipient,
                uint256 amount0,
                uint256 amount1,
                bytes calldata data
            ) external override lock noDelegateCall {
                uint128 _liquidity = liquidity;
                require(_liquidity > 0, 'L');
                uint256 fee0 = FullMath.mulDivRoundingUp(amount0, fee, 1e6);
                uint256 fee1 = FullMath.mulDivRoundingUp(amount1, fee, 1e6);
                uint256 balance0Before = balance0();
                uint256 balance1Before = balance1();
                if (amount0 > 0) TransferHelper.safeTransfer(token0, recipient, amount0);
                if (amount1 > 0) TransferHelper.safeTransfer(token1, recipient, amount1);
                IUniswapV3FlashCallback(msg.sender).uniswapV3FlashCallback(fee0, fee1, data);
                uint256 balance0After = balance0();
                uint256 balance1After = balance1();
                require(balance0Before.add(fee0) <= balance0After, 'F0');
                require(balance1Before.add(fee1) <= balance1After, 'F1');
                // sub is safe because we know balanceAfter is gt balanceBefore by at least fee
                uint256 paid0 = balance0After - balance0Before;
                uint256 paid1 = balance1After - balance1Before;
                if (paid0 > 0) {
                    uint8 feeProtocol0 = slot0.feeProtocol % 16;
                    uint256 fees0 = feeProtocol0 == 0 ? 0 : paid0 / feeProtocol0;
                    if (uint128(fees0) > 0) protocolFees.token0 += uint128(fees0);
                    feeGrowthGlobal0X128 += FullMath.mulDiv(paid0 - fees0, FixedPoint128.Q128, _liquidity);
                }
                if (paid1 > 0) {
                    uint8 feeProtocol1 = slot0.feeProtocol >> 4;
                    uint256 fees1 = feeProtocol1 == 0 ? 0 : paid1 / feeProtocol1;
                    if (uint128(fees1) > 0) protocolFees.token1 += uint128(fees1);
                    feeGrowthGlobal1X128 += FullMath.mulDiv(paid1 - fees1, FixedPoint128.Q128, _liquidity);
                }
                emit Flash(msg.sender, recipient, amount0, amount1, paid0, paid1);
            }
            /// @inheritdoc IUniswapV3PoolOwnerActions
            function setFeeProtocol(uint8 feeProtocol0, uint8 feeProtocol1) external override lock onlyFactoryOwner {
                require(
                    (feeProtocol0 == 0 || (feeProtocol0 >= 4 && feeProtocol0 <= 10)) &&
                        (feeProtocol1 == 0 || (feeProtocol1 >= 4 && feeProtocol1 <= 10))
                );
                uint8 feeProtocolOld = slot0.feeProtocol;
                slot0.feeProtocol = feeProtocol0 + (feeProtocol1 << 4);
                emit SetFeeProtocol(feeProtocolOld % 16, feeProtocolOld >> 4, feeProtocol0, feeProtocol1);
            }
            /// @inheritdoc IUniswapV3PoolOwnerActions
            function collectProtocol(
                address recipient,
                uint128 amount0Requested,
                uint128 amount1Requested
            ) external override lock onlyFactoryOwner returns (uint128 amount0, uint128 amount1) {
                amount0 = amount0Requested > protocolFees.token0 ? protocolFees.token0 : amount0Requested;
                amount1 = amount1Requested > protocolFees.token1 ? protocolFees.token1 : amount1Requested;
                if (amount0 > 0) {
                    if (amount0 == protocolFees.token0) amount0--; // ensure that the slot is not cleared, for gas savings
                    protocolFees.token0 -= amount0;
                    TransferHelper.safeTransfer(token0, recipient, amount0);
                }
                if (amount1 > 0) {
                    if (amount1 == protocolFees.token1) amount1--; // ensure that the slot is not cleared, for gas savings
                    protocolFees.token1 -= amount1;
                    TransferHelper.safeTransfer(token1, recipient, amount1);
                }
                emit CollectProtocol(msg.sender, recipient, amount0, amount1);
            }
        }
        // SPDX-License-Identifier: GPL-2.0-or-later
        pragma solidity >=0.5.0;
        import './pool/IUniswapV3PoolImmutables.sol';
        import './pool/IUniswapV3PoolState.sol';
        import './pool/IUniswapV3PoolDerivedState.sol';
        import './pool/IUniswapV3PoolActions.sol';
        import './pool/IUniswapV3PoolOwnerActions.sol';
        import './pool/IUniswapV3PoolEvents.sol';
        /// @title The interface for a Uniswap V3 Pool
        /// @notice A Uniswap pool facilitates swapping and automated market making between any two assets that strictly conform
        /// to the ERC20 specification
        /// @dev The pool interface is broken up into many smaller pieces
        interface IUniswapV3Pool is
            IUniswapV3PoolImmutables,
            IUniswapV3PoolState,
            IUniswapV3PoolDerivedState,
            IUniswapV3PoolActions,
            IUniswapV3PoolOwnerActions,
            IUniswapV3PoolEvents
        {
        }
        // SPDX-License-Identifier: BUSL-1.1
        pragma solidity =0.7.6;
        /// @title Prevents delegatecall to a contract
        /// @notice Base contract that provides a modifier for preventing delegatecall to methods in a child contract
        abstract contract NoDelegateCall {
            /// @dev The original address of this contract
            address private immutable original;
            constructor() {
                // Immutables are computed in the init code of the contract, and then inlined into the deployed bytecode.
                // In other words, this variable won't change when it's checked at runtime.
                original = address(this);
            }
            /// @dev Private method is used instead of inlining into modifier because modifiers are copied into each method,
            ///     and the use of immutable means the address bytes are copied in every place the modifier is used.
            function checkNotDelegateCall() private view {
                require(address(this) == original);
            }
            /// @notice Prevents delegatecall into the modified method
            modifier noDelegateCall() {
                checkNotDelegateCall();
                _;
            }
        }
        // SPDX-License-Identifier: GPL-2.0-or-later
        pragma solidity >=0.7.0;
        /// @title Optimized overflow and underflow safe math operations
        /// @notice Contains methods for doing math operations that revert on overflow or underflow for minimal gas cost
        library LowGasSafeMath {
            /// @notice Returns x + y, reverts if sum overflows uint256
            /// @param x The augend
            /// @param y The addend
            /// @return z The sum of x and y
            function add(uint256 x, uint256 y) internal pure returns (uint256 z) {
                require((z = x + y) >= x);
            }
            /// @notice Returns x - y, reverts if underflows
            /// @param x The minuend
            /// @param y The subtrahend
            /// @return z The difference of x and y
            function sub(uint256 x, uint256 y) internal pure returns (uint256 z) {
                require((z = x - y) <= x);
            }
            /// @notice Returns x * y, reverts if overflows
            /// @param x The multiplicand
            /// @param y The multiplier
            /// @return z The product of x and y
            function mul(uint256 x, uint256 y) internal pure returns (uint256 z) {
                require(x == 0 || (z = x * y) / x == y);
            }
            /// @notice Returns x + y, reverts if overflows or underflows
            /// @param x The augend
            /// @param y The addend
            /// @return z The sum of x and y
            function add(int256 x, int256 y) internal pure returns (int256 z) {
                require((z = x + y) >= x == (y >= 0));
            }
            /// @notice Returns x - y, reverts if overflows or underflows
            /// @param x The minuend
            /// @param y The subtrahend
            /// @return z The difference of x and y
            function sub(int256 x, int256 y) internal pure returns (int256 z) {
                require((z = x - y) <= x == (y >= 0));
            }
        }
        // SPDX-License-Identifier: GPL-2.0-or-later
        pragma solidity >=0.5.0;
        /// @title Safe casting methods
        /// @notice Contains methods for safely casting between types
        library SafeCast {
            /// @notice Cast a uint256 to a uint160, revert on overflow
            /// @param y The uint256 to be downcasted
            /// @return z The downcasted integer, now type uint160
            function toUint160(uint256 y) internal pure returns (uint160 z) {
                require((z = uint160(y)) == y);
            }
            /// @notice Cast a int256 to a int128, revert on overflow or underflow
            /// @param y The int256 to be downcasted
            /// @return z The downcasted integer, now type int128
            function toInt128(int256 y) internal pure returns (int128 z) {
                require((z = int128(y)) == y);
            }
            /// @notice Cast a uint256 to a int256, revert on overflow
            /// @param y The uint256 to be casted
            /// @return z The casted integer, now type int256
            function toInt256(uint256 y) internal pure returns (int256 z) {
                require(y < 2**255);
                z = int256(y);
            }
        }
        // SPDX-License-Identifier: BUSL-1.1
        pragma solidity >=0.5.0;
        import './LowGasSafeMath.sol';
        import './SafeCast.sol';
        import './TickMath.sol';
        import './LiquidityMath.sol';
        /// @title Tick
        /// @notice Contains functions for managing tick processes and relevant calculations
        library Tick {
            using LowGasSafeMath for int256;
            using SafeCast for int256;
            // info stored for each initialized individual tick
            struct Info {
                // the total position liquidity that references this tick
                uint128 liquidityGross;
                // amount of net liquidity added (subtracted) when tick is crossed from left to right (right to left),
                int128 liquidityNet;
                // fee growth per unit of liquidity on the _other_ side of this tick (relative to the current tick)
                // only has relative meaning, not absolute — the value depends on when the tick is initialized
                uint256 feeGrowthOutside0X128;
                uint256 feeGrowthOutside1X128;
                // the cumulative tick value on the other side of the tick
                int56 tickCumulativeOutside;
                // the seconds per unit of liquidity on the _other_ side of this tick (relative to the current tick)
                // only has relative meaning, not absolute — the value depends on when the tick is initialized
                uint160 secondsPerLiquidityOutsideX128;
                // the seconds spent on the other side of the tick (relative to the current tick)
                // only has relative meaning, not absolute — the value depends on when the tick is initialized
                uint32 secondsOutside;
                // true iff the tick is initialized, i.e. the value is exactly equivalent to the expression liquidityGross != 0
                // these 8 bits are set to prevent fresh sstores when crossing newly initialized ticks
                bool initialized;
            }
            /// @notice Derives max liquidity per tick from given tick spacing
            /// @dev Executed within the pool constructor
            /// @param tickSpacing The amount of required tick separation, realized in multiples of `tickSpacing`
            ///     e.g., a tickSpacing of 3 requires ticks to be initialized every 3rd tick i.e., ..., -6, -3, 0, 3, 6, ...
            /// @return The max liquidity per tick
            function tickSpacingToMaxLiquidityPerTick(int24 tickSpacing) internal pure returns (uint128) {
                int24 minTick = (TickMath.MIN_TICK / tickSpacing) * tickSpacing;
                int24 maxTick = (TickMath.MAX_TICK / tickSpacing) * tickSpacing;
                uint24 numTicks = uint24((maxTick - minTick) / tickSpacing) + 1;
                return type(uint128).max / numTicks;
            }
            /// @notice Retrieves fee growth data
            /// @param self The mapping containing all tick information for initialized ticks
            /// @param tickLower The lower tick boundary of the position
            /// @param tickUpper The upper tick boundary of the position
            /// @param tickCurrent The current tick
            /// @param feeGrowthGlobal0X128 The all-time global fee growth, per unit of liquidity, in token0
            /// @param feeGrowthGlobal1X128 The all-time global fee growth, per unit of liquidity, in token1
            /// @return feeGrowthInside0X128 The all-time fee growth in token0, per unit of liquidity, inside the position's tick boundaries
            /// @return feeGrowthInside1X128 The all-time fee growth in token1, per unit of liquidity, inside the position's tick boundaries
            function getFeeGrowthInside(
                mapping(int24 => Tick.Info) storage self,
                int24 tickLower,
                int24 tickUpper,
                int24 tickCurrent,
                uint256 feeGrowthGlobal0X128,
                uint256 feeGrowthGlobal1X128
            ) internal view returns (uint256 feeGrowthInside0X128, uint256 feeGrowthInside1X128) {
                Info storage lower = self[tickLower];
                Info storage upper = self[tickUpper];
                // calculate fee growth below
                uint256 feeGrowthBelow0X128;
                uint256 feeGrowthBelow1X128;
                if (tickCurrent >= tickLower) {
                    feeGrowthBelow0X128 = lower.feeGrowthOutside0X128;
                    feeGrowthBelow1X128 = lower.feeGrowthOutside1X128;
                } else {
                    feeGrowthBelow0X128 = feeGrowthGlobal0X128 - lower.feeGrowthOutside0X128;
                    feeGrowthBelow1X128 = feeGrowthGlobal1X128 - lower.feeGrowthOutside1X128;
                }
                // calculate fee growth above
                uint256 feeGrowthAbove0X128;
                uint256 feeGrowthAbove1X128;
                if (tickCurrent < tickUpper) {
                    feeGrowthAbove0X128 = upper.feeGrowthOutside0X128;
                    feeGrowthAbove1X128 = upper.feeGrowthOutside1X128;
                } else {
                    feeGrowthAbove0X128 = feeGrowthGlobal0X128 - upper.feeGrowthOutside0X128;
                    feeGrowthAbove1X128 = feeGrowthGlobal1X128 - upper.feeGrowthOutside1X128;
                }
                feeGrowthInside0X128 = feeGrowthGlobal0X128 - feeGrowthBelow0X128 - feeGrowthAbove0X128;
                feeGrowthInside1X128 = feeGrowthGlobal1X128 - feeGrowthBelow1X128 - feeGrowthAbove1X128;
            }
            /// @notice Updates a tick and returns true if the tick was flipped from initialized to uninitialized, or vice versa
            /// @param self The mapping containing all tick information for initialized ticks
            /// @param tick The tick that will be updated
            /// @param tickCurrent The current tick
            /// @param liquidityDelta A new amount of liquidity to be added (subtracted) when tick is crossed from left to right (right to left)
            /// @param feeGrowthGlobal0X128 The all-time global fee growth, per unit of liquidity, in token0
            /// @param feeGrowthGlobal1X128 The all-time global fee growth, per unit of liquidity, in token1
            /// @param secondsPerLiquidityCumulativeX128 The all-time seconds per max(1, liquidity) of the pool
            /// @param time The current block timestamp cast to a uint32
            /// @param upper true for updating a position's upper tick, or false for updating a position's lower tick
            /// @param maxLiquidity The maximum liquidity allocation for a single tick
            /// @return flipped Whether the tick was flipped from initialized to uninitialized, or vice versa
            function update(
                mapping(int24 => Tick.Info) storage self,
                int24 tick,
                int24 tickCurrent,
                int128 liquidityDelta,
                uint256 feeGrowthGlobal0X128,
                uint256 feeGrowthGlobal1X128,
                uint160 secondsPerLiquidityCumulativeX128,
                int56 tickCumulative,
                uint32 time,
                bool upper,
                uint128 maxLiquidity
            ) internal returns (bool flipped) {
                Tick.Info storage info = self[tick];
                uint128 liquidityGrossBefore = info.liquidityGross;
                uint128 liquidityGrossAfter = LiquidityMath.addDelta(liquidityGrossBefore, liquidityDelta);
                require(liquidityGrossAfter <= maxLiquidity, 'LO');
                flipped = (liquidityGrossAfter == 0) != (liquidityGrossBefore == 0);
                if (liquidityGrossBefore == 0) {
                    // by convention, we assume that all growth before a tick was initialized happened _below_ the tick
                    if (tick <= tickCurrent) {
                        info.feeGrowthOutside0X128 = feeGrowthGlobal0X128;
                        info.feeGrowthOutside1X128 = feeGrowthGlobal1X128;
                        info.secondsPerLiquidityOutsideX128 = secondsPerLiquidityCumulativeX128;
                        info.tickCumulativeOutside = tickCumulative;
                        info.secondsOutside = time;
                    }
                    info.initialized = true;
                }
                info.liquidityGross = liquidityGrossAfter;
                // when the lower (upper) tick is crossed left to right (right to left), liquidity must be added (removed)
                info.liquidityNet = upper
                    ? int256(info.liquidityNet).sub(liquidityDelta).toInt128()
                    : int256(info.liquidityNet).add(liquidityDelta).toInt128();
            }
            /// @notice Clears tick data
            /// @param self The mapping containing all initialized tick information for initialized ticks
            /// @param tick The tick that will be cleared
            function clear(mapping(int24 => Tick.Info) storage self, int24 tick) internal {
                delete self[tick];
            }
            /// @notice Transitions to next tick as needed by price movement
            /// @param self The mapping containing all tick information for initialized ticks
            /// @param tick The destination tick of the transition
            /// @param feeGrowthGlobal0X128 The all-time global fee growth, per unit of liquidity, in token0
            /// @param feeGrowthGlobal1X128 The all-time global fee growth, per unit of liquidity, in token1
            /// @param secondsPerLiquidityCumulativeX128 The current seconds per liquidity
            /// @param time The current block.timestamp
            /// @return liquidityNet The amount of liquidity added (subtracted) when tick is crossed from left to right (right to left)
            function cross(
                mapping(int24 => Tick.Info) storage self,
                int24 tick,
                uint256 feeGrowthGlobal0X128,
                uint256 feeGrowthGlobal1X128,
                uint160 secondsPerLiquidityCumulativeX128,
                int56 tickCumulative,
                uint32 time
            ) internal returns (int128 liquidityNet) {
                Tick.Info storage info = self[tick];
                info.feeGrowthOutside0X128 = feeGrowthGlobal0X128 - info.feeGrowthOutside0X128;
                info.feeGrowthOutside1X128 = feeGrowthGlobal1X128 - info.feeGrowthOutside1X128;
                info.secondsPerLiquidityOutsideX128 = secondsPerLiquidityCumulativeX128 - info.secondsPerLiquidityOutsideX128;
                info.tickCumulativeOutside = tickCumulative - info.tickCumulativeOutside;
                info.secondsOutside = time - info.secondsOutside;
                liquidityNet = info.liquidityNet;
            }
        }
        // SPDX-License-Identifier: BUSL-1.1
        pragma solidity >=0.5.0;
        import './BitMath.sol';
        /// @title Packed tick initialized state library
        /// @notice Stores a packed mapping of tick index to its initialized state
        /// @dev The mapping uses int16 for keys since ticks are represented as int24 and there are 256 (2^8) values per word.
        library TickBitmap {
            /// @notice Computes the position in the mapping where the initialized bit for a tick lives
            /// @param tick The tick for which to compute the position
            /// @return wordPos The key in the mapping containing the word in which the bit is stored
            /// @return bitPos The bit position in the word where the flag is stored
            function position(int24 tick) private pure returns (int16 wordPos, uint8 bitPos) {
                wordPos = int16(tick >> 8);
                bitPos = uint8(tick % 256);
            }
            /// @notice Flips the initialized state for a given tick from false to true, or vice versa
            /// @param self The mapping in which to flip the tick
            /// @param tick The tick to flip
            /// @param tickSpacing The spacing between usable ticks
            function flipTick(
                mapping(int16 => uint256) storage self,
                int24 tick,
                int24 tickSpacing
            ) internal {
                require(tick % tickSpacing == 0); // ensure that the tick is spaced
                (int16 wordPos, uint8 bitPos) = position(tick / tickSpacing);
                uint256 mask = 1 << bitPos;
                self[wordPos] ^= mask;
            }
            /// @notice Returns the next initialized tick contained in the same word (or adjacent word) as the tick that is either
            /// to the left (less than or equal to) or right (greater than) of the given tick
            /// @param self The mapping in which to compute the next initialized tick
            /// @param tick The starting tick
            /// @param tickSpacing The spacing between usable ticks
            /// @param lte Whether to search for the next initialized tick to the left (less than or equal to the starting tick)
            /// @return next The next initialized or uninitialized tick up to 256 ticks away from the current tick
            /// @return initialized Whether the next tick is initialized, as the function only searches within up to 256 ticks
            function nextInitializedTickWithinOneWord(
                mapping(int16 => uint256) storage self,
                int24 tick,
                int24 tickSpacing,
                bool lte
            ) internal view returns (int24 next, bool initialized) {
                int24 compressed = tick / tickSpacing;
                if (tick < 0 && tick % tickSpacing != 0) compressed--; // round towards negative infinity
                if (lte) {
                    (int16 wordPos, uint8 bitPos) = position(compressed);
                    // all the 1s at or to the right of the current bitPos
                    uint256 mask = (1 << bitPos) - 1 + (1 << bitPos);
                    uint256 masked = self[wordPos] & mask;
                    // if there are no initialized ticks to the right of or at the current tick, return rightmost in the word
                    initialized = masked != 0;
                    // overflow/underflow is possible, but prevented externally by limiting both tickSpacing and tick
                    next = initialized
                        ? (compressed - int24(bitPos - BitMath.mostSignificantBit(masked))) * tickSpacing
                        : (compressed - int24(bitPos)) * tickSpacing;
                } else {
                    // start from the word of the next tick, since the current tick state doesn't matter
                    (int16 wordPos, uint8 bitPos) = position(compressed + 1);
                    // all the 1s at or to the left of the bitPos
                    uint256 mask = ~((1 << bitPos) - 1);
                    uint256 masked = self[wordPos] & mask;
                    // if there are no initialized ticks to the left of the current tick, return leftmost in the word
                    initialized = masked != 0;
                    // overflow/underflow is possible, but prevented externally by limiting both tickSpacing and tick
                    next = initialized
                        ? (compressed + 1 + int24(BitMath.leastSignificantBit(masked) - bitPos)) * tickSpacing
                        : (compressed + 1 + int24(type(uint8).max - bitPos)) * tickSpacing;
                }
            }
        }
        // SPDX-License-Identifier: BUSL-1.1
        pragma solidity >=0.5.0;
        import './FullMath.sol';
        import './FixedPoint128.sol';
        import './LiquidityMath.sol';
        /// @title Position
        /// @notice Positions represent an owner address' liquidity between a lower and upper tick boundary
        /// @dev Positions store additional state for tracking fees owed to the position
        library Position {
            // info stored for each user's position
            struct Info {
                // the amount of liquidity owned by this position
                uint128 liquidity;
                // fee growth per unit of liquidity as of the last update to liquidity or fees owed
                uint256 feeGrowthInside0LastX128;
                uint256 feeGrowthInside1LastX128;
                // the fees owed to the position owner in token0/token1
                uint128 tokensOwed0;
                uint128 tokensOwed1;
            }
            /// @notice Returns the Info struct of a position, given an owner and position boundaries
            /// @param self The mapping containing all user positions
            /// @param owner The address of the position owner
            /// @param tickLower The lower tick boundary of the position
            /// @param tickUpper The upper tick boundary of the position
            /// @return position The position info struct of the given owners' position
            function get(
                mapping(bytes32 => Info) storage self,
                address owner,
                int24 tickLower,
                int24 tickUpper
            ) internal view returns (Position.Info storage position) {
                position = self[keccak256(abi.encodePacked(owner, tickLower, tickUpper))];
            }
            /// @notice Credits accumulated fees to a user's position
            /// @param self The individual position to update
            /// @param liquidityDelta The change in pool liquidity as a result of the position update
            /// @param feeGrowthInside0X128 The all-time fee growth in token0, per unit of liquidity, inside the position's tick boundaries
            /// @param feeGrowthInside1X128 The all-time fee growth in token1, per unit of liquidity, inside the position's tick boundaries
            function update(
                Info storage self,
                int128 liquidityDelta,
                uint256 feeGrowthInside0X128,
                uint256 feeGrowthInside1X128
            ) internal {
                Info memory _self = self;
                uint128 liquidityNext;
                if (liquidityDelta == 0) {
                    require(_self.liquidity > 0, 'NP'); // disallow pokes for 0 liquidity positions
                    liquidityNext = _self.liquidity;
                } else {
                    liquidityNext = LiquidityMath.addDelta(_self.liquidity, liquidityDelta);
                }
                // calculate accumulated fees
                uint128 tokensOwed0 =
                    uint128(
                        FullMath.mulDiv(
                            feeGrowthInside0X128 - _self.feeGrowthInside0LastX128,
                            _self.liquidity,
                            FixedPoint128.Q128
                        )
                    );
                uint128 tokensOwed1 =
                    uint128(
                        FullMath.mulDiv(
                            feeGrowthInside1X128 - _self.feeGrowthInside1LastX128,
                            _self.liquidity,
                            FixedPoint128.Q128
                        )
                    );
                // update the position
                if (liquidityDelta != 0) self.liquidity = liquidityNext;
                self.feeGrowthInside0LastX128 = feeGrowthInside0X128;
                self.feeGrowthInside1LastX128 = feeGrowthInside1X128;
                if (tokensOwed0 > 0 || tokensOwed1 > 0) {
                    // overflow is acceptable, have to withdraw before you hit type(uint128).max fees
                    self.tokensOwed0 += tokensOwed0;
                    self.tokensOwed1 += tokensOwed1;
                }
            }
        }
        // SPDX-License-Identifier: BUSL-1.1
        pragma solidity >=0.5.0;
        /// @title Oracle
        /// @notice Provides price and liquidity data useful for a wide variety of system designs
        /// @dev Instances of stored oracle data, "observations", are collected in the oracle array
        /// Every pool is initialized with an oracle array length of 1. Anyone can pay the SSTOREs to increase the
        /// maximum length of the oracle array. New slots will be added when the array is fully populated.
        /// Observations are overwritten when the full length of the oracle array is populated.
        /// The most recent observation is available, independent of the length of the oracle array, by passing 0 to observe()
        library Oracle {
            struct Observation {
                // the block timestamp of the observation
                uint32 blockTimestamp;
                // the tick accumulator, i.e. tick * time elapsed since the pool was first initialized
                int56 tickCumulative;
                // the seconds per liquidity, i.e. seconds elapsed / max(1, liquidity) since the pool was first initialized
                uint160 secondsPerLiquidityCumulativeX128;
                // whether or not the observation is initialized
                bool initialized;
            }
            /// @notice Transforms a previous observation into a new observation, given the passage of time and the current tick and liquidity values
            /// @dev blockTimestamp _must_ be chronologically equal to or greater than last.blockTimestamp, safe for 0 or 1 overflows
            /// @param last The specified observation to be transformed
            /// @param blockTimestamp The timestamp of the new observation
            /// @param tick The active tick at the time of the new observation
            /// @param liquidity The total in-range liquidity at the time of the new observation
            /// @return Observation The newly populated observation
            function transform(
                Observation memory last,
                uint32 blockTimestamp,
                int24 tick,
                uint128 liquidity
            ) private pure returns (Observation memory) {
                uint32 delta = blockTimestamp - last.blockTimestamp;
                return
                    Observation({
                        blockTimestamp: blockTimestamp,
                        tickCumulative: last.tickCumulative + int56(tick) * delta,
                        secondsPerLiquidityCumulativeX128: last.secondsPerLiquidityCumulativeX128 +
                            ((uint160(delta) << 128) / (liquidity > 0 ? liquidity : 1)),
                        initialized: true
                    });
            }
            /// @notice Initialize the oracle array by writing the first slot. Called once for the lifecycle of the observations array
            /// @param self The stored oracle array
            /// @param time The time of the oracle initialization, via block.timestamp truncated to uint32
            /// @return cardinality The number of populated elements in the oracle array
            /// @return cardinalityNext The new length of the oracle array, independent of population
            function initialize(Observation[65535] storage self, uint32 time)
                internal
                returns (uint16 cardinality, uint16 cardinalityNext)
            {
                self[0] = Observation({
                    blockTimestamp: time,
                    tickCumulative: 0,
                    secondsPerLiquidityCumulativeX128: 0,
                    initialized: true
                });
                return (1, 1);
            }
            /// @notice Writes an oracle observation to the array
            /// @dev Writable at most once per block. Index represents the most recently written element. cardinality and index must be tracked externally.
            /// If the index is at the end of the allowable array length (according to cardinality), and the next cardinality
            /// is greater than the current one, cardinality may be increased. This restriction is created to preserve ordering.
            /// @param self The stored oracle array
            /// @param index The index of the observation that was most recently written to the observations array
            /// @param blockTimestamp The timestamp of the new observation
            /// @param tick The active tick at the time of the new observation
            /// @param liquidity The total in-range liquidity at the time of the new observation
            /// @param cardinality The number of populated elements in the oracle array
            /// @param cardinalityNext The new length of the oracle array, independent of population
            /// @return indexUpdated The new index of the most recently written element in the oracle array
            /// @return cardinalityUpdated The new cardinality of the oracle array
            function write(
                Observation[65535] storage self,
                uint16 index,
                uint32 blockTimestamp,
                int24 tick,
                uint128 liquidity,
                uint16 cardinality,
                uint16 cardinalityNext
            ) internal returns (uint16 indexUpdated, uint16 cardinalityUpdated) {
                Observation memory last = self[index];
                // early return if we've already written an observation this block
                if (last.blockTimestamp == blockTimestamp) return (index, cardinality);
                // if the conditions are right, we can bump the cardinality
                if (cardinalityNext > cardinality && index == (cardinality - 1)) {
                    cardinalityUpdated = cardinalityNext;
                } else {
                    cardinalityUpdated = cardinality;
                }
                indexUpdated = (index + 1) % cardinalityUpdated;
                self[indexUpdated] = transform(last, blockTimestamp, tick, liquidity);
            }
            /// @notice Prepares the oracle array to store up to `next` observations
            /// @param self The stored oracle array
            /// @param current The current next cardinality of the oracle array
            /// @param next The proposed next cardinality which will be populated in the oracle array
            /// @return next The next cardinality which will be populated in the oracle array
            function grow(
                Observation[65535] storage self,
                uint16 current,
                uint16 next
            ) internal returns (uint16) {
                require(current > 0, 'I');
                // no-op if the passed next value isn't greater than the current next value
                if (next <= current) return current;
                // store in each slot to prevent fresh SSTOREs in swaps
                // this data will not be used because the initialized boolean is still false
                for (uint16 i = current; i < next; i++) self[i].blockTimestamp = 1;
                return next;
            }
            /// @notice comparator for 32-bit timestamps
            /// @dev safe for 0 or 1 overflows, a and b _must_ be chronologically before or equal to time
            /// @param time A timestamp truncated to 32 bits
            /// @param a A comparison timestamp from which to determine the relative position of `time`
            /// @param b From which to determine the relative position of `time`
            /// @return bool Whether `a` is chronologically <= `b`
            function lte(
                uint32 time,
                uint32 a,
                uint32 b
            ) private pure returns (bool) {
                // if there hasn't been overflow, no need to adjust
                if (a <= time && b <= time) return a <= b;
                uint256 aAdjusted = a > time ? a : a + 2**32;
                uint256 bAdjusted = b > time ? b : b + 2**32;
                return aAdjusted <= bAdjusted;
            }
            /// @notice Fetches the observations beforeOrAt and atOrAfter a target, i.e. where [beforeOrAt, atOrAfter] is satisfied.
            /// The result may be the same observation, or adjacent observations.
            /// @dev The answer must be contained in the array, used when the target is located within the stored observation
            /// boundaries: older than the most recent observation and younger, or the same age as, the oldest observation
            /// @param self The stored oracle array
            /// @param time The current block.timestamp
            /// @param target The timestamp at which the reserved observation should be for
            /// @param index The index of the observation that was most recently written to the observations array
            /// @param cardinality The number of populated elements in the oracle array
            /// @return beforeOrAt The observation recorded before, or at, the target
            /// @return atOrAfter The observation recorded at, or after, the target
            function binarySearch(
                Observation[65535] storage self,
                uint32 time,
                uint32 target,
                uint16 index,
                uint16 cardinality
            ) private view returns (Observation memory beforeOrAt, Observation memory atOrAfter) {
                uint256 l = (index + 1) % cardinality; // oldest observation
                uint256 r = l + cardinality - 1; // newest observation
                uint256 i;
                while (true) {
                    i = (l + r) / 2;
                    beforeOrAt = self[i % cardinality];
                    // we've landed on an uninitialized tick, keep searching higher (more recently)
                    if (!beforeOrAt.initialized) {
                        l = i + 1;
                        continue;
                    }
                    atOrAfter = self[(i + 1) % cardinality];
                    bool targetAtOrAfter = lte(time, beforeOrAt.blockTimestamp, target);
                    // check if we've found the answer!
                    if (targetAtOrAfter && lte(time, target, atOrAfter.blockTimestamp)) break;
                    if (!targetAtOrAfter) r = i - 1;
                    else l = i + 1;
                }
            }
            /// @notice Fetches the observations beforeOrAt and atOrAfter a given target, i.e. where [beforeOrAt, atOrAfter] is satisfied
            /// @dev Assumes there is at least 1 initialized observation.
            /// Used by observeSingle() to compute the counterfactual accumulator values as of a given block timestamp.
            /// @param self The stored oracle array
            /// @param time The current block.timestamp
            /// @param target The timestamp at which the reserved observation should be for
            /// @param tick The active tick at the time of the returned or simulated observation
            /// @param index The index of the observation that was most recently written to the observations array
            /// @param liquidity The total pool liquidity at the time of the call
            /// @param cardinality The number of populated elements in the oracle array
            /// @return beforeOrAt The observation which occurred at, or before, the given timestamp
            /// @return atOrAfter The observation which occurred at, or after, the given timestamp
            function getSurroundingObservations(
                Observation[65535] storage self,
                uint32 time,
                uint32 target,
                int24 tick,
                uint16 index,
                uint128 liquidity,
                uint16 cardinality
            ) private view returns (Observation memory beforeOrAt, Observation memory atOrAfter) {
                // optimistically set before to the newest observation
                beforeOrAt = self[index];
                // if the target is chronologically at or after the newest observation, we can early return
                if (lte(time, beforeOrAt.blockTimestamp, target)) {
                    if (beforeOrAt.blockTimestamp == target) {
                        // if newest observation equals target, we're in the same block, so we can ignore atOrAfter
                        return (beforeOrAt, atOrAfter);
                    } else {
                        // otherwise, we need to transform
                        return (beforeOrAt, transform(beforeOrAt, target, tick, liquidity));
                    }
                }
                // now, set before to the oldest observation
                beforeOrAt = self[(index + 1) % cardinality];
                if (!beforeOrAt.initialized) beforeOrAt = self[0];
                // ensure that the target is chronologically at or after the oldest observation
                require(lte(time, beforeOrAt.blockTimestamp, target), 'OLD');
                // if we've reached this point, we have to binary search
                return binarySearch(self, time, target, index, cardinality);
            }
            /// @dev Reverts if an observation at or before the desired observation timestamp does not exist.
            /// 0 may be passed as `secondsAgo' to return the current cumulative values.
            /// If called with a timestamp falling between two observations, returns the counterfactual accumulator values
            /// at exactly the timestamp between the two observations.
            /// @param self The stored oracle array
            /// @param time The current block timestamp
            /// @param secondsAgo The amount of time to look back, in seconds, at which point to return an observation
            /// @param tick The current tick
            /// @param index The index of the observation that was most recently written to the observations array
            /// @param liquidity The current in-range pool liquidity
            /// @param cardinality The number of populated elements in the oracle array
            /// @return tickCumulative The tick * time elapsed since the pool was first initialized, as of `secondsAgo`
            /// @return secondsPerLiquidityCumulativeX128 The time elapsed / max(1, liquidity) since the pool was first initialized, as of `secondsAgo`
            function observeSingle(
                Observation[65535] storage self,
                uint32 time,
                uint32 secondsAgo,
                int24 tick,
                uint16 index,
                uint128 liquidity,
                uint16 cardinality
            ) internal view returns (int56 tickCumulative, uint160 secondsPerLiquidityCumulativeX128) {
                if (secondsAgo == 0) {
                    Observation memory last = self[index];
                    if (last.blockTimestamp != time) last = transform(last, time, tick, liquidity);
                    return (last.tickCumulative, last.secondsPerLiquidityCumulativeX128);
                }
                uint32 target = time - secondsAgo;
                (Observation memory beforeOrAt, Observation memory atOrAfter) =
                    getSurroundingObservations(self, time, target, tick, index, liquidity, cardinality);
                if (target == beforeOrAt.blockTimestamp) {
                    // we're at the left boundary
                    return (beforeOrAt.tickCumulative, beforeOrAt.secondsPerLiquidityCumulativeX128);
                } else if (target == atOrAfter.blockTimestamp) {
                    // we're at the right boundary
                    return (atOrAfter.tickCumulative, atOrAfter.secondsPerLiquidityCumulativeX128);
                } else {
                    // we're in the middle
                    uint32 observationTimeDelta = atOrAfter.blockTimestamp - beforeOrAt.blockTimestamp;
                    uint32 targetDelta = target - beforeOrAt.blockTimestamp;
                    return (
                        beforeOrAt.tickCumulative +
                            ((atOrAfter.tickCumulative - beforeOrAt.tickCumulative) / observationTimeDelta) *
                            targetDelta,
                        beforeOrAt.secondsPerLiquidityCumulativeX128 +
                            uint160(
                                (uint256(
                                    atOrAfter.secondsPerLiquidityCumulativeX128 - beforeOrAt.secondsPerLiquidityCumulativeX128
                                ) * targetDelta) / observationTimeDelta
                            )
                    );
                }
            }
            /// @notice Returns the accumulator values as of each time seconds ago from the given time in the array of `secondsAgos`
            /// @dev Reverts if `secondsAgos` > oldest observation
            /// @param self The stored oracle array
            /// @param time The current block.timestamp
            /// @param secondsAgos Each amount of time to look back, in seconds, at which point to return an observation
            /// @param tick The current tick
            /// @param index The index of the observation that was most recently written to the observations array
            /// @param liquidity The current in-range pool liquidity
            /// @param cardinality The number of populated elements in the oracle array
            /// @return tickCumulatives The tick * time elapsed since the pool was first initialized, as of each `secondsAgo`
            /// @return secondsPerLiquidityCumulativeX128s The cumulative seconds / max(1, liquidity) since the pool was first initialized, as of each `secondsAgo`
            function observe(
                Observation[65535] storage self,
                uint32 time,
                uint32[] memory secondsAgos,
                int24 tick,
                uint16 index,
                uint128 liquidity,
                uint16 cardinality
            ) internal view returns (int56[] memory tickCumulatives, uint160[] memory secondsPerLiquidityCumulativeX128s) {
                require(cardinality > 0, 'I');
                tickCumulatives = new int56[](secondsAgos.length);
                secondsPerLiquidityCumulativeX128s = new uint160[](secondsAgos.length);
                for (uint256 i = 0; i < secondsAgos.length; i++) {
                    (tickCumulatives[i], secondsPerLiquidityCumulativeX128s[i]) = observeSingle(
                        self,
                        time,
                        secondsAgos[i],
                        tick,
                        index,
                        liquidity,
                        cardinality
                    );
                }
            }
        }
        // SPDX-License-Identifier: MIT
        pragma solidity >=0.4.0;
        /// @title Contains 512-bit math functions
        /// @notice Facilitates multiplication and division that can have overflow of an intermediate value without any loss of precision
        /// @dev Handles "phantom overflow" i.e., allows multiplication and division where an intermediate value overflows 256 bits
        library FullMath {
            /// @notice Calculates floor(a×b÷denominator) with full precision. Throws if result overflows a uint256 or denominator == 0
            /// @param a The multiplicand
            /// @param b The multiplier
            /// @param denominator The divisor
            /// @return result The 256-bit result
            /// @dev Credit to Remco Bloemen under MIT license https://xn--2-umb.com/21/muldiv
            function mulDiv(
                uint256 a,
                uint256 b,
                uint256 denominator
            ) internal pure returns (uint256 result) {
                // 512-bit multiply [prod1 prod0] = a * b
                // Compute the product mod 2**256 and mod 2**256 - 1
                // then use the Chinese Remainder Theorem to reconstruct
                // the 512 bit result. The result is stored in two 256
                // variables such that product = prod1 * 2**256 + prod0
                uint256 prod0; // Least significant 256 bits of the product
                uint256 prod1; // Most significant 256 bits of the product
                assembly {
                    let mm := mulmod(a, b, not(0))
                    prod0 := mul(a, b)
                    prod1 := sub(sub(mm, prod0), lt(mm, prod0))
                }
                // Handle non-overflow cases, 256 by 256 division
                if (prod1 == 0) {
                    require(denominator > 0);
                    assembly {
                        result := div(prod0, denominator)
                    }
                    return result;
                }
                // Make sure the result is less than 2**256.
                // Also prevents denominator == 0
                require(denominator > prod1);
                ///////////////////////////////////////////////
                // 512 by 256 division.
                ///////////////////////////////////////////////
                // Make division exact by subtracting the remainder from [prod1 prod0]
                // Compute remainder using mulmod
                uint256 remainder;
                assembly {
                    remainder := mulmod(a, b, denominator)
                }
                // Subtract 256 bit number from 512 bit number
                assembly {
                    prod1 := sub(prod1, gt(remainder, prod0))
                    prod0 := sub(prod0, remainder)
                }
                // Factor powers of two out of denominator
                // Compute largest power of two divisor of denominator.
                // Always >= 1.
                uint256 twos = -denominator & denominator;
                // Divide denominator by power of two
                assembly {
                    denominator := div(denominator, twos)
                }
                // Divide [prod1 prod0] by the factors of two
                assembly {
                    prod0 := div(prod0, twos)
                }
                // Shift in bits from prod1 into prod0. For this we need
                // to flip `twos` such that it is 2**256 / twos.
                // If twos is zero, then it becomes one
                assembly {
                    twos := add(div(sub(0, twos), twos), 1)
                }
                prod0 |= prod1 * twos;
                // Invert denominator mod 2**256
                // Now that denominator is an odd number, it has an inverse
                // modulo 2**256 such that denominator * inv = 1 mod 2**256.
                // Compute the inverse by starting with a seed that is correct
                // correct for four bits. That is, denominator * inv = 1 mod 2**4
                uint256 inv = (3 * denominator) ^ 2;
                // Now use Newton-Raphson iteration to improve the precision.
                // Thanks to Hensel's lifting lemma, this also works in modular
                // arithmetic, doubling the correct bits in each step.
                inv *= 2 - denominator * inv; // inverse mod 2**8
                inv *= 2 - denominator * inv; // inverse mod 2**16
                inv *= 2 - denominator * inv; // inverse mod 2**32
                inv *= 2 - denominator * inv; // inverse mod 2**64
                inv *= 2 - denominator * inv; // inverse mod 2**128
                inv *= 2 - denominator * inv; // inverse mod 2**256
                // Because the division is now exact we can divide by multiplying
                // with the modular inverse of denominator. This will give us the
                // correct result modulo 2**256. Since the precoditions guarantee
                // that the outcome is less than 2**256, this is the final result.
                // We don't need to compute the high bits of the result and prod1
                // is no longer required.
                result = prod0 * inv;
                return result;
            }
            /// @notice Calculates ceil(a×b÷denominator) with full precision. Throws if result overflows a uint256 or denominator == 0
            /// @param a The multiplicand
            /// @param b The multiplier
            /// @param denominator The divisor
            /// @return result The 256-bit result
            function mulDivRoundingUp(
                uint256 a,
                uint256 b,
                uint256 denominator
            ) internal pure returns (uint256 result) {
                result = mulDiv(a, b, denominator);
                if (mulmod(a, b, denominator) > 0) {
                    require(result < type(uint256).max);
                    result++;
                }
            }
        }
        // SPDX-License-Identifier: GPL-2.0-or-later
        pragma solidity >=0.4.0;
        /// @title FixedPoint128
        /// @notice A library for handling binary fixed point numbers, see https://en.wikipedia.org/wiki/Q_(number_format)
        library FixedPoint128 {
            uint256 internal constant Q128 = 0x100000000000000000000000000000000;
        }
        // SPDX-License-Identifier: GPL-2.0-or-later
        pragma solidity >=0.6.0;
        import '../interfaces/IERC20Minimal.sol';
        /// @title TransferHelper
        /// @notice Contains helper methods for interacting with ERC20 tokens that do not consistently return true/false
        library TransferHelper {
            /// @notice Transfers tokens from msg.sender to a recipient
            /// @dev Calls transfer on token contract, errors with TF if transfer fails
            /// @param token The contract address of the token which will be transferred
            /// @param to The recipient of the transfer
            /// @param value The value of the transfer
            function safeTransfer(
                address token,
                address to,
                uint256 value
            ) internal {
                (bool success, bytes memory data) =
                    token.call(abi.encodeWithSelector(IERC20Minimal.transfer.selector, to, value));
                require(success && (data.length == 0 || abi.decode(data, (bool))), 'TF');
            }
        }
        // SPDX-License-Identifier: GPL-2.0-or-later
        pragma solidity >=0.5.0;
        /// @title Math library for computing sqrt prices from ticks and vice versa
        /// @notice Computes sqrt price for ticks of size 1.0001, i.e. sqrt(1.0001^tick) as fixed point Q64.96 numbers. Supports
        /// prices between 2**-128 and 2**128
        library TickMath {
            /// @dev The minimum tick that may be passed to #getSqrtRatioAtTick computed from log base 1.0001 of 2**-128
            int24 internal constant MIN_TICK = -887272;
            /// @dev The maximum tick that may be passed to #getSqrtRatioAtTick computed from log base 1.0001 of 2**128
            int24 internal constant MAX_TICK = -MIN_TICK;
            /// @dev The minimum value that can be returned from #getSqrtRatioAtTick. Equivalent to getSqrtRatioAtTick(MIN_TICK)
            uint160 internal constant MIN_SQRT_RATIO = 4295128739;
            /// @dev The maximum value that can be returned from #getSqrtRatioAtTick. Equivalent to getSqrtRatioAtTick(MAX_TICK)
            uint160 internal constant MAX_SQRT_RATIO = 1461446703485210103287273052203988822378723970342;
            /// @notice Calculates sqrt(1.0001^tick) * 2^96
            /// @dev Throws if |tick| > max tick
            /// @param tick The input tick for the above formula
            /// @return sqrtPriceX96 A Fixed point Q64.96 number representing the sqrt of the ratio of the two assets (token1/token0)
            /// at the given tick
            function getSqrtRatioAtTick(int24 tick) internal pure returns (uint160 sqrtPriceX96) {
                uint256 absTick = tick < 0 ? uint256(-int256(tick)) : uint256(int256(tick));
                require(absTick <= uint256(MAX_TICK), 'T');
                uint256 ratio = absTick & 0x1 != 0 ? 0xfffcb933bd6fad37aa2d162d1a594001 : 0x100000000000000000000000000000000;
                if (absTick & 0x2 != 0) ratio = (ratio * 0xfff97272373d413259a46990580e213a) >> 128;
                if (absTick & 0x4 != 0) ratio = (ratio * 0xfff2e50f5f656932ef12357cf3c7fdcc) >> 128;
                if (absTick & 0x8 != 0) ratio = (ratio * 0xffe5caca7e10e4e61c3624eaa0941cd0) >> 128;
                if (absTick & 0x10 != 0) ratio = (ratio * 0xffcb9843d60f6159c9db58835c926644) >> 128;
                if (absTick & 0x20 != 0) ratio = (ratio * 0xff973b41fa98c081472e6896dfb254c0) >> 128;
                if (absTick & 0x40 != 0) ratio = (ratio * 0xff2ea16466c96a3843ec78b326b52861) >> 128;
                if (absTick & 0x80 != 0) ratio = (ratio * 0xfe5dee046a99a2a811c461f1969c3053) >> 128;
                if (absTick & 0x100 != 0) ratio = (ratio * 0xfcbe86c7900a88aedcffc83b479aa3a4) >> 128;
                if (absTick & 0x200 != 0) ratio = (ratio * 0xf987a7253ac413176f2b074cf7815e54) >> 128;
                if (absTick & 0x400 != 0) ratio = (ratio * 0xf3392b0822b70005940c7a398e4b70f3) >> 128;
                if (absTick & 0x800 != 0) ratio = (ratio * 0xe7159475a2c29b7443b29c7fa6e889d9) >> 128;
                if (absTick & 0x1000 != 0) ratio = (ratio * 0xd097f3bdfd2022b8845ad8f792aa5825) >> 128;
                if (absTick & 0x2000 != 0) ratio = (ratio * 0xa9f746462d870fdf8a65dc1f90e061e5) >> 128;
                if (absTick & 0x4000 != 0) ratio = (ratio * 0x70d869a156d2a1b890bb3df62baf32f7) >> 128;
                if (absTick & 0x8000 != 0) ratio = (ratio * 0x31be135f97d08fd981231505542fcfa6) >> 128;
                if (absTick & 0x10000 != 0) ratio = (ratio * 0x9aa508b5b7a84e1c677de54f3e99bc9) >> 128;
                if (absTick & 0x20000 != 0) ratio = (ratio * 0x5d6af8dedb81196699c329225ee604) >> 128;
                if (absTick & 0x40000 != 0) ratio = (ratio * 0x2216e584f5fa1ea926041bedfe98) >> 128;
                if (absTick & 0x80000 != 0) ratio = (ratio * 0x48a170391f7dc42444e8fa2) >> 128;
                if (tick > 0) ratio = type(uint256).max / ratio;
                // this divides by 1<<32 rounding up to go from a Q128.128 to a Q128.96.
                // we then downcast because we know the result always fits within 160 bits due to our tick input constraint
                // we round up in the division so getTickAtSqrtRatio of the output price is always consistent
                sqrtPriceX96 = uint160((ratio >> 32) + (ratio % (1 << 32) == 0 ? 0 : 1));
            }
            /// @notice Calculates the greatest tick value such that getRatioAtTick(tick) <= ratio
            /// @dev Throws in case sqrtPriceX96 < MIN_SQRT_RATIO, as MIN_SQRT_RATIO is the lowest value getRatioAtTick may
            /// ever return.
            /// @param sqrtPriceX96 The sqrt ratio for which to compute the tick as a Q64.96
            /// @return tick The greatest tick for which the ratio is less than or equal to the input ratio
            function getTickAtSqrtRatio(uint160 sqrtPriceX96) internal pure returns (int24 tick) {
                // second inequality must be < because the price can never reach the price at the max tick
                require(sqrtPriceX96 >= MIN_SQRT_RATIO && sqrtPriceX96 < MAX_SQRT_RATIO, 'R');
                uint256 ratio = uint256(sqrtPriceX96) << 32;
                uint256 r = ratio;
                uint256 msb = 0;
                assembly {
                    let f := shl(7, gt(r, 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF))
                    msb := or(msb, f)
                    r := shr(f, r)
                }
                assembly {
                    let f := shl(6, gt(r, 0xFFFFFFFFFFFFFFFF))
                    msb := or(msb, f)
                    r := shr(f, r)
                }
                assembly {
                    let f := shl(5, gt(r, 0xFFFFFFFF))
                    msb := or(msb, f)
                    r := shr(f, r)
                }
                assembly {
                    let f := shl(4, gt(r, 0xFFFF))
                    msb := or(msb, f)
                    r := shr(f, r)
                }
                assembly {
                    let f := shl(3, gt(r, 0xFF))
                    msb := or(msb, f)
                    r := shr(f, r)
                }
                assembly {
                    let f := shl(2, gt(r, 0xF))
                    msb := or(msb, f)
                    r := shr(f, r)
                }
                assembly {
                    let f := shl(1, gt(r, 0x3))
                    msb := or(msb, f)
                    r := shr(f, r)
                }
                assembly {
                    let f := gt(r, 0x1)
                    msb := or(msb, f)
                }
                if (msb >= 128) r = ratio >> (msb - 127);
                else r = ratio << (127 - msb);
                int256 log_2 = (int256(msb) - 128) << 64;
                assembly {
                    r := shr(127, mul(r, r))
                    let f := shr(128, r)
                    log_2 := or(log_2, shl(63, f))
                    r := shr(f, r)
                }
                assembly {
                    r := shr(127, mul(r, r))
                    let f := shr(128, r)
                    log_2 := or(log_2, shl(62, f))
                    r := shr(f, r)
                }
                assembly {
                    r := shr(127, mul(r, r))
                    let f := shr(128, r)
                    log_2 := or(log_2, shl(61, f))
                    r := shr(f, r)
                }
                assembly {
                    r := shr(127, mul(r, r))
                    let f := shr(128, r)
                    log_2 := or(log_2, shl(60, f))
                    r := shr(f, r)
                }
                assembly {
                    r := shr(127, mul(r, r))
                    let f := shr(128, r)
                    log_2 := or(log_2, shl(59, f))
                    r := shr(f, r)
                }
                assembly {
                    r := shr(127, mul(r, r))
                    let f := shr(128, r)
                    log_2 := or(log_2, shl(58, f))
                    r := shr(f, r)
                }
                assembly {
                    r := shr(127, mul(r, r))
                    let f := shr(128, r)
                    log_2 := or(log_2, shl(57, f))
                    r := shr(f, r)
                }
                assembly {
                    r := shr(127, mul(r, r))
                    let f := shr(128, r)
                    log_2 := or(log_2, shl(56, f))
                    r := shr(f, r)
                }
                assembly {
                    r := shr(127, mul(r, r))
                    let f := shr(128, r)
                    log_2 := or(log_2, shl(55, f))
                    r := shr(f, r)
                }
                assembly {
                    r := shr(127, mul(r, r))
                    let f := shr(128, r)
                    log_2 := or(log_2, shl(54, f))
                    r := shr(f, r)
                }
                assembly {
                    r := shr(127, mul(r, r))
                    let f := shr(128, r)
                    log_2 := or(log_2, shl(53, f))
                    r := shr(f, r)
                }
                assembly {
                    r := shr(127, mul(r, r))
                    let f := shr(128, r)
                    log_2 := or(log_2, shl(52, f))
                    r := shr(f, r)
                }
                assembly {
                    r := shr(127, mul(r, r))
                    let f := shr(128, r)
                    log_2 := or(log_2, shl(51, f))
                    r := shr(f, r)
                }
                assembly {
                    r := shr(127, mul(r, r))
                    let f := shr(128, r)
                    log_2 := or(log_2, shl(50, f))
                }
                int256 log_sqrt10001 = log_2 * 255738958999603826347141; // 128.128 number
                int24 tickLow = int24((log_sqrt10001 - 3402992956809132418596140100660247210) >> 128);
                int24 tickHi = int24((log_sqrt10001 + 291339464771989622907027621153398088495) >> 128);
                tick = tickLow == tickHi ? tickLow : getSqrtRatioAtTick(tickHi) <= sqrtPriceX96 ? tickHi : tickLow;
            }
        }
        // SPDX-License-Identifier: GPL-2.0-or-later
        pragma solidity >=0.5.0;
        /// @title Math library for liquidity
        library LiquidityMath {
            /// @notice Add a signed liquidity delta to liquidity and revert if it overflows or underflows
            /// @param x The liquidity before change
            /// @param y The delta by which liquidity should be changed
            /// @return z The liquidity delta
            function addDelta(uint128 x, int128 y) internal pure returns (uint128 z) {
                if (y < 0) {
                    require((z = x - uint128(-y)) < x, 'LS');
                } else {
                    require((z = x + uint128(y)) >= x, 'LA');
                }
            }
        }
        // SPDX-License-Identifier: BUSL-1.1
        pragma solidity >=0.5.0;
        import './LowGasSafeMath.sol';
        import './SafeCast.sol';
        import './FullMath.sol';
        import './UnsafeMath.sol';
        import './FixedPoint96.sol';
        /// @title Functions based on Q64.96 sqrt price and liquidity
        /// @notice Contains the math that uses square root of price as a Q64.96 and liquidity to compute deltas
        library SqrtPriceMath {
            using LowGasSafeMath for uint256;
            using SafeCast for uint256;
            /// @notice Gets the next sqrt price given a delta of token0
            /// @dev Always rounds up, because in the exact output case (increasing price) we need to move the price at least
            /// far enough to get the desired output amount, and in the exact input case (decreasing price) we need to move the
            /// price less in order to not send too much output.
            /// The most precise formula for this is liquidity * sqrtPX96 / (liquidity +- amount * sqrtPX96),
            /// if this is impossible because of overflow, we calculate liquidity / (liquidity / sqrtPX96 +- amount).
            /// @param sqrtPX96 The starting price, i.e. before accounting for the token0 delta
            /// @param liquidity The amount of usable liquidity
            /// @param amount How much of token0 to add or remove from virtual reserves
            /// @param add Whether to add or remove the amount of token0
            /// @return The price after adding or removing amount, depending on add
            function getNextSqrtPriceFromAmount0RoundingUp(
                uint160 sqrtPX96,
                uint128 liquidity,
                uint256 amount,
                bool add
            ) internal pure returns (uint160) {
                // we short circuit amount == 0 because the result is otherwise not guaranteed to equal the input price
                if (amount == 0) return sqrtPX96;
                uint256 numerator1 = uint256(liquidity) << FixedPoint96.RESOLUTION;
                if (add) {
                    uint256 product;
                    if ((product = amount * sqrtPX96) / amount == sqrtPX96) {
                        uint256 denominator = numerator1 + product;
                        if (denominator >= numerator1)
                            // always fits in 160 bits
                            return uint160(FullMath.mulDivRoundingUp(numerator1, sqrtPX96, denominator));
                    }
                    return uint160(UnsafeMath.divRoundingUp(numerator1, (numerator1 / sqrtPX96).add(amount)));
                } else {
                    uint256 product;
                    // if the product overflows, we know the denominator underflows
                    // in addition, we must check that the denominator does not underflow
                    require((product = amount * sqrtPX96) / amount == sqrtPX96 && numerator1 > product);
                    uint256 denominator = numerator1 - product;
                    return FullMath.mulDivRoundingUp(numerator1, sqrtPX96, denominator).toUint160();
                }
            }
            /// @notice Gets the next sqrt price given a delta of token1
            /// @dev Always rounds down, because in the exact output case (decreasing price) we need to move the price at least
            /// far enough to get the desired output amount, and in the exact input case (increasing price) we need to move the
            /// price less in order to not send too much output.
            /// The formula we compute is within <1 wei of the lossless version: sqrtPX96 +- amount / liquidity
            /// @param sqrtPX96 The starting price, i.e., before accounting for the token1 delta
            /// @param liquidity The amount of usable liquidity
            /// @param amount How much of token1 to add, or remove, from virtual reserves
            /// @param add Whether to add, or remove, the amount of token1
            /// @return The price after adding or removing `amount`
            function getNextSqrtPriceFromAmount1RoundingDown(
                uint160 sqrtPX96,
                uint128 liquidity,
                uint256 amount,
                bool add
            ) internal pure returns (uint160) {
                // if we're adding (subtracting), rounding down requires rounding the quotient down (up)
                // in both cases, avoid a mulDiv for most inputs
                if (add) {
                    uint256 quotient =
                        (
                            amount <= type(uint160).max
                                ? (amount << FixedPoint96.RESOLUTION) / liquidity
                                : FullMath.mulDiv(amount, FixedPoint96.Q96, liquidity)
                        );
                    return uint256(sqrtPX96).add(quotient).toUint160();
                } else {
                    uint256 quotient =
                        (
                            amount <= type(uint160).max
                                ? UnsafeMath.divRoundingUp(amount << FixedPoint96.RESOLUTION, liquidity)
                                : FullMath.mulDivRoundingUp(amount, FixedPoint96.Q96, liquidity)
                        );
                    require(sqrtPX96 > quotient);
                    // always fits 160 bits
                    return uint160(sqrtPX96 - quotient);
                }
            }
            /// @notice Gets the next sqrt price given an input amount of token0 or token1
            /// @dev Throws if price or liquidity are 0, or if the next price is out of bounds
            /// @param sqrtPX96 The starting price, i.e., before accounting for the input amount
            /// @param liquidity The amount of usable liquidity
            /// @param amountIn How much of token0, or token1, is being swapped in
            /// @param zeroForOne Whether the amount in is token0 or token1
            /// @return sqrtQX96 The price after adding the input amount to token0 or token1
            function getNextSqrtPriceFromInput(
                uint160 sqrtPX96,
                uint128 liquidity,
                uint256 amountIn,
                bool zeroForOne
            ) internal pure returns (uint160 sqrtQX96) {
                require(sqrtPX96 > 0);
                require(liquidity > 0);
                // round to make sure that we don't pass the target price
                return
                    zeroForOne
                        ? getNextSqrtPriceFromAmount0RoundingUp(sqrtPX96, liquidity, amountIn, true)
                        : getNextSqrtPriceFromAmount1RoundingDown(sqrtPX96, liquidity, amountIn, true);
            }
            /// @notice Gets the next sqrt price given an output amount of token0 or token1
            /// @dev Throws if price or liquidity are 0 or the next price is out of bounds
            /// @param sqrtPX96 The starting price before accounting for the output amount
            /// @param liquidity The amount of usable liquidity
            /// @param amountOut How much of token0, or token1, is being swapped out
            /// @param zeroForOne Whether the amount out is token0 or token1
            /// @return sqrtQX96 The price after removing the output amount of token0 or token1
            function getNextSqrtPriceFromOutput(
                uint160 sqrtPX96,
                uint128 liquidity,
                uint256 amountOut,
                bool zeroForOne
            ) internal pure returns (uint160 sqrtQX96) {
                require(sqrtPX96 > 0);
                require(liquidity > 0);
                // round to make sure that we pass the target price
                return
                    zeroForOne
                        ? getNextSqrtPriceFromAmount1RoundingDown(sqrtPX96, liquidity, amountOut, false)
                        : getNextSqrtPriceFromAmount0RoundingUp(sqrtPX96, liquidity, amountOut, false);
            }
            /// @notice Gets the amount0 delta between two prices
            /// @dev Calculates liquidity / sqrt(lower) - liquidity / sqrt(upper),
            /// i.e. liquidity * (sqrt(upper) - sqrt(lower)) / (sqrt(upper) * sqrt(lower))
            /// @param sqrtRatioAX96 A sqrt price
            /// @param sqrtRatioBX96 Another sqrt price
            /// @param liquidity The amount of usable liquidity
            /// @param roundUp Whether to round the amount up or down
            /// @return amount0 Amount of token0 required to cover a position of size liquidity between the two passed prices
            function getAmount0Delta(
                uint160 sqrtRatioAX96,
                uint160 sqrtRatioBX96,
                uint128 liquidity,
                bool roundUp
            ) internal pure returns (uint256 amount0) {
                if (sqrtRatioAX96 > sqrtRatioBX96) (sqrtRatioAX96, sqrtRatioBX96) = (sqrtRatioBX96, sqrtRatioAX96);
                uint256 numerator1 = uint256(liquidity) << FixedPoint96.RESOLUTION;
                uint256 numerator2 = sqrtRatioBX96 - sqrtRatioAX96;
                require(sqrtRatioAX96 > 0);
                return
                    roundUp
                        ? UnsafeMath.divRoundingUp(
                            FullMath.mulDivRoundingUp(numerator1, numerator2, sqrtRatioBX96),
                            sqrtRatioAX96
                        )
                        : FullMath.mulDiv(numerator1, numerator2, sqrtRatioBX96) / sqrtRatioAX96;
            }
            /// @notice Gets the amount1 delta between two prices
            /// @dev Calculates liquidity * (sqrt(upper) - sqrt(lower))
            /// @param sqrtRatioAX96 A sqrt price
            /// @param sqrtRatioBX96 Another sqrt price
            /// @param liquidity The amount of usable liquidity
            /// @param roundUp Whether to round the amount up, or down
            /// @return amount1 Amount of token1 required to cover a position of size liquidity between the two passed prices
            function getAmount1Delta(
                uint160 sqrtRatioAX96,
                uint160 sqrtRatioBX96,
                uint128 liquidity,
                bool roundUp
            ) internal pure returns (uint256 amount1) {
                if (sqrtRatioAX96 > sqrtRatioBX96) (sqrtRatioAX96, sqrtRatioBX96) = (sqrtRatioBX96, sqrtRatioAX96);
                return
                    roundUp
                        ? FullMath.mulDivRoundingUp(liquidity, sqrtRatioBX96 - sqrtRatioAX96, FixedPoint96.Q96)
                        : FullMath.mulDiv(liquidity, sqrtRatioBX96 - sqrtRatioAX96, FixedPoint96.Q96);
            }
            /// @notice Helper that gets signed token0 delta
            /// @param sqrtRatioAX96 A sqrt price
            /// @param sqrtRatioBX96 Another sqrt price
            /// @param liquidity The change in liquidity for which to compute the amount0 delta
            /// @return amount0 Amount of token0 corresponding to the passed liquidityDelta between the two prices
            function getAmount0Delta(
                uint160 sqrtRatioAX96,
                uint160 sqrtRatioBX96,
                int128 liquidity
            ) internal pure returns (int256 amount0) {
                return
                    liquidity < 0
                        ? -getAmount0Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(-liquidity), false).toInt256()
                        : getAmount0Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(liquidity), true).toInt256();
            }
            /// @notice Helper that gets signed token1 delta
            /// @param sqrtRatioAX96 A sqrt price
            /// @param sqrtRatioBX96 Another sqrt price
            /// @param liquidity The change in liquidity for which to compute the amount1 delta
            /// @return amount1 Amount of token1 corresponding to the passed liquidityDelta between the two prices
            function getAmount1Delta(
                uint160 sqrtRatioAX96,
                uint160 sqrtRatioBX96,
                int128 liquidity
            ) internal pure returns (int256 amount1) {
                return
                    liquidity < 0
                        ? -getAmount1Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(-liquidity), false).toInt256()
                        : getAmount1Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(liquidity), true).toInt256();
            }
        }
        // SPDX-License-Identifier: BUSL-1.1
        pragma solidity >=0.5.0;
        import './FullMath.sol';
        import './SqrtPriceMath.sol';
        /// @title Computes the result of a swap within ticks
        /// @notice Contains methods for computing the result of a swap within a single tick price range, i.e., a single tick.
        library SwapMath {
            /// @notice Computes the result of swapping some amount in, or amount out, given the parameters of the swap
            /// @dev The fee, plus the amount in, will never exceed the amount remaining if the swap's `amountSpecified` is positive
            /// @param sqrtRatioCurrentX96 The current sqrt price of the pool
            /// @param sqrtRatioTargetX96 The price that cannot be exceeded, from which the direction of the swap is inferred
            /// @param liquidity The usable liquidity
            /// @param amountRemaining How much input or output amount is remaining to be swapped in/out
            /// @param feePips The fee taken from the input amount, expressed in hundredths of a bip
            /// @return sqrtRatioNextX96 The price after swapping the amount in/out, not to exceed the price target
            /// @return amountIn The amount to be swapped in, of either token0 or token1, based on the direction of the swap
            /// @return amountOut The amount to be received, of either token0 or token1, based on the direction of the swap
            /// @return feeAmount The amount of input that will be taken as a fee
            function computeSwapStep(
                uint160 sqrtRatioCurrentX96,
                uint160 sqrtRatioTargetX96,
                uint128 liquidity,
                int256 amountRemaining,
                uint24 feePips
            )
                internal
                pure
                returns (
                    uint160 sqrtRatioNextX96,
                    uint256 amountIn,
                    uint256 amountOut,
                    uint256 feeAmount
                )
            {
                bool zeroForOne = sqrtRatioCurrentX96 >= sqrtRatioTargetX96;
                bool exactIn = amountRemaining >= 0;
                if (exactIn) {
                    uint256 amountRemainingLessFee = FullMath.mulDiv(uint256(amountRemaining), 1e6 - feePips, 1e6);
                    amountIn = zeroForOne
                        ? SqrtPriceMath.getAmount0Delta(sqrtRatioTargetX96, sqrtRatioCurrentX96, liquidity, true)
                        : SqrtPriceMath.getAmount1Delta(sqrtRatioCurrentX96, sqrtRatioTargetX96, liquidity, true);
                    if (amountRemainingLessFee >= amountIn) sqrtRatioNextX96 = sqrtRatioTargetX96;
                    else
                        sqrtRatioNextX96 = SqrtPriceMath.getNextSqrtPriceFromInput(
                            sqrtRatioCurrentX96,
                            liquidity,
                            amountRemainingLessFee,
                            zeroForOne
                        );
                } else {
                    amountOut = zeroForOne
                        ? SqrtPriceMath.getAmount1Delta(sqrtRatioTargetX96, sqrtRatioCurrentX96, liquidity, false)
                        : SqrtPriceMath.getAmount0Delta(sqrtRatioCurrentX96, sqrtRatioTargetX96, liquidity, false);
                    if (uint256(-amountRemaining) >= amountOut) sqrtRatioNextX96 = sqrtRatioTargetX96;
                    else
                        sqrtRatioNextX96 = SqrtPriceMath.getNextSqrtPriceFromOutput(
                            sqrtRatioCurrentX96,
                            liquidity,
                            uint256(-amountRemaining),
                            zeroForOne
                        );
                }
                bool max = sqrtRatioTargetX96 == sqrtRatioNextX96;
                // get the input/output amounts
                if (zeroForOne) {
                    amountIn = max && exactIn
                        ? amountIn
                        : SqrtPriceMath.getAmount0Delta(sqrtRatioNextX96, sqrtRatioCurrentX96, liquidity, true);
                    amountOut = max && !exactIn
                        ? amountOut
                        : SqrtPriceMath.getAmount1Delta(sqrtRatioNextX96, sqrtRatioCurrentX96, liquidity, false);
                } else {
                    amountIn = max && exactIn
                        ? amountIn
                        : SqrtPriceMath.getAmount1Delta(sqrtRatioCurrentX96, sqrtRatioNextX96, liquidity, true);
                    amountOut = max && !exactIn
                        ? amountOut
                        : SqrtPriceMath.getAmount0Delta(sqrtRatioCurrentX96, sqrtRatioNextX96, liquidity, false);
                }
                // cap the output amount to not exceed the remaining output amount
                if (!exactIn && amountOut > uint256(-amountRemaining)) {
                    amountOut = uint256(-amountRemaining);
                }
                if (exactIn && sqrtRatioNextX96 != sqrtRatioTargetX96) {
                    // we didn't reach the target, so take the remainder of the maximum input as fee
                    feeAmount = uint256(amountRemaining) - amountIn;
                } else {
                    feeAmount = FullMath.mulDivRoundingUp(amountIn, feePips, 1e6 - feePips);
                }
            }
        }
        // SPDX-License-Identifier: GPL-2.0-or-later
        pragma solidity >=0.5.0;
        /// @title An interface for a contract that is capable of deploying Uniswap V3 Pools
        /// @notice A contract that constructs a pool must implement this to pass arguments to the pool
        /// @dev This is used to avoid having constructor arguments in the pool contract, which results in the init code hash
        /// of the pool being constant allowing the CREATE2 address of the pool to be cheaply computed on-chain
        interface IUniswapV3PoolDeployer {
            /// @notice Get the parameters to be used in constructing the pool, set transiently during pool creation.
            /// @dev Called by the pool constructor to fetch the parameters of the pool
            /// Returns factory The factory address
            /// Returns token0 The first token of the pool by address sort order
            /// Returns token1 The second token of the pool by address sort order
            /// Returns fee The fee collected upon every swap in the pool, denominated in hundredths of a bip
            /// Returns tickSpacing The minimum number of ticks between initialized ticks
            function parameters()
                external
                view
                returns (
                    address factory,
                    address token0,
                    address token1,
                    uint24 fee,
                    int24 tickSpacing
                );
        }
        // SPDX-License-Identifier: GPL-2.0-or-later
        pragma solidity >=0.5.0;
        /// @title The interface for the Uniswap V3 Factory
        /// @notice The Uniswap V3 Factory facilitates creation of Uniswap V3 pools and control over the protocol fees
        interface IUniswapV3Factory {
            /// @notice Emitted when the owner of the factory is changed
            /// @param oldOwner The owner before the owner was changed
            /// @param newOwner The owner after the owner was changed
            event OwnerChanged(address indexed oldOwner, address indexed newOwner);
            /// @notice Emitted when a pool is created
            /// @param token0 The first token of the pool by address sort order
            /// @param token1 The second token of the pool by address sort order
            /// @param fee The fee collected upon every swap in the pool, denominated in hundredths of a bip
            /// @param tickSpacing The minimum number of ticks between initialized ticks
            /// @param pool The address of the created pool
            event PoolCreated(
                address indexed token0,
                address indexed token1,
                uint24 indexed fee,
                int24 tickSpacing,
                address pool
            );
            /// @notice Emitted when a new fee amount is enabled for pool creation via the factory
            /// @param fee The enabled fee, denominated in hundredths of a bip
            /// @param tickSpacing The minimum number of ticks between initialized ticks for pools created with the given fee
            event FeeAmountEnabled(uint24 indexed fee, int24 indexed tickSpacing);
            /// @notice Returns the current owner of the factory
            /// @dev Can be changed by the current owner via setOwner
            /// @return The address of the factory owner
            function owner() external view returns (address);
            /// @notice Returns the tick spacing for a given fee amount, if enabled, or 0 if not enabled
            /// @dev A fee amount can never be removed, so this value should be hard coded or cached in the calling context
            /// @param fee The enabled fee, denominated in hundredths of a bip. Returns 0 in case of unenabled fee
            /// @return The tick spacing
            function feeAmountTickSpacing(uint24 fee) external view returns (int24);
            /// @notice Returns the pool address for a given pair of tokens and a fee, or address 0 if it does not exist
            /// @dev tokenA and tokenB may be passed in either token0/token1 or token1/token0 order
            /// @param tokenA The contract address of either token0 or token1
            /// @param tokenB The contract address of the other token
            /// @param fee The fee collected upon every swap in the pool, denominated in hundredths of a bip
            /// @return pool The pool address
            function getPool(
                address tokenA,
                address tokenB,
                uint24 fee
            ) external view returns (address pool);
            /// @notice Creates a pool for the given two tokens and fee
            /// @param tokenA One of the two tokens in the desired pool
            /// @param tokenB The other of the two tokens in the desired pool
            /// @param fee The desired fee for the pool
            /// @dev tokenA and tokenB may be passed in either order: token0/token1 or token1/token0. tickSpacing is retrieved
            /// from the fee. The call will revert if the pool already exists, the fee is invalid, or the token arguments
            /// are invalid.
            /// @return pool The address of the newly created pool
            function createPool(
                address tokenA,
                address tokenB,
                uint24 fee
            ) external returns (address pool);
            /// @notice Updates the owner of the factory
            /// @dev Must be called by the current owner
            /// @param _owner The new owner of the factory
            function setOwner(address _owner) external;
            /// @notice Enables a fee amount with the given tickSpacing
            /// @dev Fee amounts may never be removed once enabled
            /// @param fee The fee amount to enable, denominated in hundredths of a bip (i.e. 1e-6)
            /// @param tickSpacing The spacing between ticks to be enforced for all pools created with the given fee amount
            function enableFeeAmount(uint24 fee, int24 tickSpacing) external;
        }
        // SPDX-License-Identifier: GPL-2.0-or-later
        pragma solidity >=0.5.0;
        /// @title Minimal ERC20 interface for Uniswap
        /// @notice Contains a subset of the full ERC20 interface that is used in Uniswap V3
        interface IERC20Minimal {
            /// @notice Returns the balance of a token
            /// @param account The account for which to look up the number of tokens it has, i.e. its balance
            /// @return The number of tokens held by the account
            function balanceOf(address account) external view returns (uint256);
            /// @notice Transfers the amount of token from the `msg.sender` to the recipient
            /// @param recipient The account that will receive the amount transferred
            /// @param amount The number of tokens to send from the sender to the recipient
            /// @return Returns true for a successful transfer, false for an unsuccessful transfer
            function transfer(address recipient, uint256 amount) external returns (bool);
            /// @notice Returns the current allowance given to a spender by an owner
            /// @param owner The account of the token owner
            /// @param spender The account of the token spender
            /// @return The current allowance granted by `owner` to `spender`
            function allowance(address owner, address spender) external view returns (uint256);
            /// @notice Sets the allowance of a spender from the `msg.sender` to the value `amount`
            /// @param spender The account which will be allowed to spend a given amount of the owners tokens
            /// @param amount The amount of tokens allowed to be used by `spender`
            /// @return Returns true for a successful approval, false for unsuccessful
            function approve(address spender, uint256 amount) external returns (bool);
            /// @notice Transfers `amount` tokens from `sender` to `recipient` up to the allowance given to the `msg.sender`
            /// @param sender The account from which the transfer will be initiated
            /// @param recipient The recipient of the transfer
            /// @param amount The amount of the transfer
            /// @return Returns true for a successful transfer, false for unsuccessful
            function transferFrom(
                address sender,
                address recipient,
                uint256 amount
            ) external returns (bool);
            /// @notice Event emitted when tokens are transferred from one address to another, either via `#transfer` or `#transferFrom`.
            /// @param from The account from which the tokens were sent, i.e. the balance decreased
            /// @param to The account to which the tokens were sent, i.e. the balance increased
            /// @param value The amount of tokens that were transferred
            event Transfer(address indexed from, address indexed to, uint256 value);
            /// @notice Event emitted when the approval amount for the spender of a given owner's tokens changes.
            /// @param owner The account that approved spending of its tokens
            /// @param spender The account for which the spending allowance was modified
            /// @param value The new allowance from the owner to the spender
            event Approval(address indexed owner, address indexed spender, uint256 value);
        }
        // SPDX-License-Identifier: GPL-2.0-or-later
        pragma solidity >=0.5.0;
        /// @title Callback for IUniswapV3PoolActions#mint
        /// @notice Any contract that calls IUniswapV3PoolActions#mint must implement this interface
        interface IUniswapV3MintCallback {
            /// @notice Called to `msg.sender` after minting liquidity to a position from IUniswapV3Pool#mint.
            /// @dev In the implementation you must pay the pool tokens owed for the minted liquidity.
            /// The caller of this method must be checked to be a UniswapV3Pool deployed by the canonical UniswapV3Factory.
            /// @param amount0Owed The amount of token0 due to the pool for the minted liquidity
            /// @param amount1Owed The amount of token1 due to the pool for the minted liquidity
            /// @param data Any data passed through by the caller via the IUniswapV3PoolActions#mint call
            function uniswapV3MintCallback(
                uint256 amount0Owed,
                uint256 amount1Owed,
                bytes calldata data
            ) external;
        }
        // SPDX-License-Identifier: GPL-2.0-or-later
        pragma solidity >=0.5.0;
        /// @title Callback for IUniswapV3PoolActions#swap
        /// @notice Any contract that calls IUniswapV3PoolActions#swap must implement this interface
        interface IUniswapV3SwapCallback {
            /// @notice Called to `msg.sender` after executing a swap via IUniswapV3Pool#swap.
            /// @dev In the implementation you must pay the pool tokens owed for the swap.
            /// The caller of this method must be checked to be a UniswapV3Pool deployed by the canonical UniswapV3Factory.
            /// amount0Delta and amount1Delta can both be 0 if no tokens were swapped.
            /// @param amount0Delta The amount of token0 that was sent (negative) or must be received (positive) by the pool by
            /// the end of the swap. If positive, the callback must send that amount of token0 to the pool.
            /// @param amount1Delta The amount of token1 that was sent (negative) or must be received (positive) by the pool by
            /// the end of the swap. If positive, the callback must send that amount of token1 to the pool.
            /// @param data Any data passed through by the caller via the IUniswapV3PoolActions#swap call
            function uniswapV3SwapCallback(
                int256 amount0Delta,
                int256 amount1Delta,
                bytes calldata data
            ) external;
        }
        // SPDX-License-Identifier: GPL-2.0-or-later
        pragma solidity >=0.5.0;
        /// @title Callback for IUniswapV3PoolActions#flash
        /// @notice Any contract that calls IUniswapV3PoolActions#flash must implement this interface
        interface IUniswapV3FlashCallback {
            /// @notice Called to `msg.sender` after transferring to the recipient from IUniswapV3Pool#flash.
            /// @dev In the implementation you must repay the pool the tokens sent by flash plus the computed fee amounts.
            /// The caller of this method must be checked to be a UniswapV3Pool deployed by the canonical UniswapV3Factory.
            /// @param fee0 The fee amount in token0 due to the pool by the end of the flash
            /// @param fee1 The fee amount in token1 due to the pool by the end of the flash
            /// @param data Any data passed through by the caller via the IUniswapV3PoolActions#flash call
            function uniswapV3FlashCallback(
                uint256 fee0,
                uint256 fee1,
                bytes calldata data
            ) external;
        }
        // SPDX-License-Identifier: GPL-2.0-or-later
        pragma solidity >=0.5.0;
        /// @title Pool state that never changes
        /// @notice These parameters are fixed for a pool forever, i.e., the methods will always return the same values
        interface IUniswapV3PoolImmutables {
            /// @notice The contract that deployed the pool, which must adhere to the IUniswapV3Factory interface
            /// @return The contract address
            function factory() external view returns (address);
            /// @notice The first of the two tokens of the pool, sorted by address
            /// @return The token contract address
            function token0() external view returns (address);
            /// @notice The second of the two tokens of the pool, sorted by address
            /// @return The token contract address
            function token1() external view returns (address);
            /// @notice The pool's fee in hundredths of a bip, i.e. 1e-6
            /// @return The fee
            function fee() external view returns (uint24);
            /// @notice The pool tick spacing
            /// @dev Ticks can only be used at multiples of this value, minimum of 1 and always positive
            /// e.g.: a tickSpacing of 3 means ticks can be initialized every 3rd tick, i.e., ..., -6, -3, 0, 3, 6, ...
            /// This value is an int24 to avoid casting even though it is always positive.
            /// @return The tick spacing
            function tickSpacing() external view returns (int24);
            /// @notice The maximum amount of position liquidity that can use any tick in the range
            /// @dev This parameter is enforced per tick to prevent liquidity from overflowing a uint128 at any point, and
            /// also prevents out-of-range liquidity from being used to prevent adding in-range liquidity to a pool
            /// @return The max amount of liquidity per tick
            function maxLiquidityPerTick() external view returns (uint128);
        }
        // SPDX-License-Identifier: GPL-2.0-or-later
        pragma solidity >=0.5.0;
        /// @title Pool state that can change
        /// @notice These methods compose the pool's state, and can change with any frequency including multiple times
        /// per transaction
        interface IUniswapV3PoolState {
            /// @notice The 0th storage slot in the pool stores many values, and is exposed as a single method to save gas
            /// when accessed externally.
            /// @return sqrtPriceX96 The current price of the pool as a sqrt(token1/token0) Q64.96 value
            /// tick The current tick of the pool, i.e. according to the last tick transition that was run.
            /// This value may not always be equal to SqrtTickMath.getTickAtSqrtRatio(sqrtPriceX96) if the price is on a tick
            /// boundary.
            /// observationIndex The index of the last oracle observation that was written,
            /// observationCardinality The current maximum number of observations stored in the pool,
            /// observationCardinalityNext The next maximum number of observations, to be updated when the observation.
            /// feeProtocol The protocol fee for both tokens of the pool.
            /// Encoded as two 4 bit values, where the protocol fee of token1 is shifted 4 bits and the protocol fee of token0
            /// is the lower 4 bits. Used as the denominator of a fraction of the swap fee, e.g. 4 means 1/4th of the swap fee.
            /// unlocked Whether the pool is currently locked to reentrancy
            function slot0()
                external
                view
                returns (
                    uint160 sqrtPriceX96,
                    int24 tick,
                    uint16 observationIndex,
                    uint16 observationCardinality,
                    uint16 observationCardinalityNext,
                    uint8 feeProtocol,
                    bool unlocked
                );
            /// @notice The fee growth as a Q128.128 fees of token0 collected per unit of liquidity for the entire life of the pool
            /// @dev This value can overflow the uint256
            function feeGrowthGlobal0X128() external view returns (uint256);
            /// @notice The fee growth as a Q128.128 fees of token1 collected per unit of liquidity for the entire life of the pool
            /// @dev This value can overflow the uint256
            function feeGrowthGlobal1X128() external view returns (uint256);
            /// @notice The amounts of token0 and token1 that are owed to the protocol
            /// @dev Protocol fees will never exceed uint128 max in either token
            function protocolFees() external view returns (uint128 token0, uint128 token1);
            /// @notice The currently in range liquidity available to the pool
            /// @dev This value has no relationship to the total liquidity across all ticks
            function liquidity() external view returns (uint128);
            /// @notice Look up information about a specific tick in the pool
            /// @param tick The tick to look up
            /// @return liquidityGross the total amount of position liquidity that uses the pool either as tick lower or
            /// tick upper,
            /// liquidityNet how much liquidity changes when the pool price crosses the tick,
            /// feeGrowthOutside0X128 the fee growth on the other side of the tick from the current tick in token0,
            /// feeGrowthOutside1X128 the fee growth on the other side of the tick from the current tick in token1,
            /// tickCumulativeOutside the cumulative tick value on the other side of the tick from the current tick
            /// secondsPerLiquidityOutsideX128 the seconds spent per liquidity on the other side of the tick from the current tick,
            /// secondsOutside the seconds spent on the other side of the tick from the current tick,
            /// initialized Set to true if the tick is initialized, i.e. liquidityGross is greater than 0, otherwise equal to false.
            /// Outside values can only be used if the tick is initialized, i.e. if liquidityGross is greater than 0.
            /// In addition, these values are only relative and must be used only in comparison to previous snapshots for
            /// a specific position.
            function ticks(int24 tick)
                external
                view
                returns (
                    uint128 liquidityGross,
                    int128 liquidityNet,
                    uint256 feeGrowthOutside0X128,
                    uint256 feeGrowthOutside1X128,
                    int56 tickCumulativeOutside,
                    uint160 secondsPerLiquidityOutsideX128,
                    uint32 secondsOutside,
                    bool initialized
                );
            /// @notice Returns 256 packed tick initialized boolean values. See TickBitmap for more information
            function tickBitmap(int16 wordPosition) external view returns (uint256);
            /// @notice Returns the information about a position by the position's key
            /// @param key The position's key is a hash of a preimage composed by the owner, tickLower and tickUpper
            /// @return _liquidity The amount of liquidity in the position,
            /// Returns feeGrowthInside0LastX128 fee growth of token0 inside the tick range as of the last mint/burn/poke,
            /// Returns feeGrowthInside1LastX128 fee growth of token1 inside the tick range as of the last mint/burn/poke,
            /// Returns tokensOwed0 the computed amount of token0 owed to the position as of the last mint/burn/poke,
            /// Returns tokensOwed1 the computed amount of token1 owed to the position as of the last mint/burn/poke
            function positions(bytes32 key)
                external
                view
                returns (
                    uint128 _liquidity,
                    uint256 feeGrowthInside0LastX128,
                    uint256 feeGrowthInside1LastX128,
                    uint128 tokensOwed0,
                    uint128 tokensOwed1
                );
            /// @notice Returns data about a specific observation index
            /// @param index The element of the observations array to fetch
            /// @dev You most likely want to use #observe() instead of this method to get an observation as of some amount of time
            /// ago, rather than at a specific index in the array.
            /// @return blockTimestamp The timestamp of the observation,
            /// Returns tickCumulative the tick multiplied by seconds elapsed for the life of the pool as of the observation timestamp,
            /// Returns secondsPerLiquidityCumulativeX128 the seconds per in range liquidity for the life of the pool as of the observation timestamp,
            /// Returns initialized whether the observation has been initialized and the values are safe to use
            function observations(uint256 index)
                external
                view
                returns (
                    uint32 blockTimestamp,
                    int56 tickCumulative,
                    uint160 secondsPerLiquidityCumulativeX128,
                    bool initialized
                );
        }
        // SPDX-License-Identifier: GPL-2.0-or-later
        pragma solidity >=0.5.0;
        /// @title Pool state that is not stored
        /// @notice Contains view functions to provide information about the pool that is computed rather than stored on the
        /// blockchain. The functions here may have variable gas costs.
        interface IUniswapV3PoolDerivedState {
            /// @notice Returns the cumulative tick and liquidity as of each timestamp `secondsAgo` from the current block timestamp
            /// @dev To get a time weighted average tick or liquidity-in-range, you must call this with two values, one representing
            /// the beginning of the period and another for the end of the period. E.g., to get the last hour time-weighted average tick,
            /// you must call it with secondsAgos = [3600, 0].
            /// @dev The time weighted average tick represents the geometric time weighted average price of the pool, in
            /// log base sqrt(1.0001) of token1 / token0. The TickMath library can be used to go from a tick value to a ratio.
            /// @param secondsAgos From how long ago each cumulative tick and liquidity value should be returned
            /// @return tickCumulatives Cumulative tick values as of each `secondsAgos` from the current block timestamp
            /// @return secondsPerLiquidityCumulativeX128s Cumulative seconds per liquidity-in-range value as of each `secondsAgos` from the current block
            /// timestamp
            function observe(uint32[] calldata secondsAgos)
                external
                view
                returns (int56[] memory tickCumulatives, uint160[] memory secondsPerLiquidityCumulativeX128s);
            /// @notice Returns a snapshot of the tick cumulative, seconds per liquidity and seconds inside a tick range
            /// @dev Snapshots must only be compared to other snapshots, taken over a period for which a position existed.
            /// I.e., snapshots cannot be compared if a position is not held for the entire period between when the first
            /// snapshot is taken and the second snapshot is taken.
            /// @param tickLower The lower tick of the range
            /// @param tickUpper The upper tick of the range
            /// @return tickCumulativeInside The snapshot of the tick accumulator for the range
            /// @return secondsPerLiquidityInsideX128 The snapshot of seconds per liquidity for the range
            /// @return secondsInside The snapshot of seconds per liquidity for the range
            function snapshotCumulativesInside(int24 tickLower, int24 tickUpper)
                external
                view
                returns (
                    int56 tickCumulativeInside,
                    uint160 secondsPerLiquidityInsideX128,
                    uint32 secondsInside
                );
        }
        // SPDX-License-Identifier: GPL-2.0-or-later
        pragma solidity >=0.5.0;
        /// @title Permissionless pool actions
        /// @notice Contains pool methods that can be called by anyone
        interface IUniswapV3PoolActions {
            /// @notice Sets the initial price for the pool
            /// @dev Price is represented as a sqrt(amountToken1/amountToken0) Q64.96 value
            /// @param sqrtPriceX96 the initial sqrt price of the pool as a Q64.96
            function initialize(uint160 sqrtPriceX96) external;
            /// @notice Adds liquidity for the given recipient/tickLower/tickUpper position
            /// @dev The caller of this method receives a callback in the form of IUniswapV3MintCallback#uniswapV3MintCallback
            /// in which they must pay any token0 or token1 owed for the liquidity. The amount of token0/token1 due depends
            /// on tickLower, tickUpper, the amount of liquidity, and the current price.
            /// @param recipient The address for which the liquidity will be created
            /// @param tickLower The lower tick of the position in which to add liquidity
            /// @param tickUpper The upper tick of the position in which to add liquidity
            /// @param amount The amount of liquidity to mint
            /// @param data Any data that should be passed through to the callback
            /// @return amount0 The amount of token0 that was paid to mint the given amount of liquidity. Matches the value in the callback
            /// @return amount1 The amount of token1 that was paid to mint the given amount of liquidity. Matches the value in the callback
            function mint(
                address recipient,
                int24 tickLower,
                int24 tickUpper,
                uint128 amount,
                bytes calldata data
            ) external returns (uint256 amount0, uint256 amount1);
            /// @notice Collects tokens owed to a position
            /// @dev Does not recompute fees earned, which must be done either via mint or burn of any amount of liquidity.
            /// Collect must be called by the position owner. To withdraw only token0 or only token1, amount0Requested or
            /// amount1Requested may be set to zero. To withdraw all tokens owed, caller may pass any value greater than the
            /// actual tokens owed, e.g. type(uint128).max. Tokens owed may be from accumulated swap fees or burned liquidity.
            /// @param recipient The address which should receive the fees collected
            /// @param tickLower The lower tick of the position for which to collect fees
            /// @param tickUpper The upper tick of the position for which to collect fees
            /// @param amount0Requested How much token0 should be withdrawn from the fees owed
            /// @param amount1Requested How much token1 should be withdrawn from the fees owed
            /// @return amount0 The amount of fees collected in token0
            /// @return amount1 The amount of fees collected in token1
            function collect(
                address recipient,
                int24 tickLower,
                int24 tickUpper,
                uint128 amount0Requested,
                uint128 amount1Requested
            ) external returns (uint128 amount0, uint128 amount1);
            /// @notice Burn liquidity from the sender and account tokens owed for the liquidity to the position
            /// @dev Can be used to trigger a recalculation of fees owed to a position by calling with an amount of 0
            /// @dev Fees must be collected separately via a call to #collect
            /// @param tickLower The lower tick of the position for which to burn liquidity
            /// @param tickUpper The upper tick of the position for which to burn liquidity
            /// @param amount How much liquidity to burn
            /// @return amount0 The amount of token0 sent to the recipient
            /// @return amount1 The amount of token1 sent to the recipient
            function burn(
                int24 tickLower,
                int24 tickUpper,
                uint128 amount
            ) external returns (uint256 amount0, uint256 amount1);
            /// @notice Swap token0 for token1, or token1 for token0
            /// @dev The caller of this method receives a callback in the form of IUniswapV3SwapCallback#uniswapV3SwapCallback
            /// @param recipient The address to receive the output of the swap
            /// @param zeroForOne The direction of the swap, true for token0 to token1, false for token1 to token0
            /// @param amountSpecified The amount of the swap, which implicitly configures the swap as exact input (positive), or exact output (negative)
            /// @param sqrtPriceLimitX96 The Q64.96 sqrt price limit. If zero for one, the price cannot be less than this
            /// value after the swap. If one for zero, the price cannot be greater than this value after the swap
            /// @param data Any data to be passed through to the callback
            /// @return amount0 The delta of the balance of token0 of the pool, exact when negative, minimum when positive
            /// @return amount1 The delta of the balance of token1 of the pool, exact when negative, minimum when positive
            function swap(
                address recipient,
                bool zeroForOne,
                int256 amountSpecified,
                uint160 sqrtPriceLimitX96,
                bytes calldata data
            ) external returns (int256 amount0, int256 amount1);
            /// @notice Receive token0 and/or token1 and pay it back, plus a fee, in the callback
            /// @dev The caller of this method receives a callback in the form of IUniswapV3FlashCallback#uniswapV3FlashCallback
            /// @dev Can be used to donate underlying tokens pro-rata to currently in-range liquidity providers by calling
            /// with 0 amount{0,1} and sending the donation amount(s) from the callback
            /// @param recipient The address which will receive the token0 and token1 amounts
            /// @param amount0 The amount of token0 to send
            /// @param amount1 The amount of token1 to send
            /// @param data Any data to be passed through to the callback
            function flash(
                address recipient,
                uint256 amount0,
                uint256 amount1,
                bytes calldata data
            ) external;
            /// @notice Increase the maximum number of price and liquidity observations that this pool will store
            /// @dev This method is no-op if the pool already has an observationCardinalityNext greater than or equal to
            /// the input observationCardinalityNext.
            /// @param observationCardinalityNext The desired minimum number of observations for the pool to store
            function increaseObservationCardinalityNext(uint16 observationCardinalityNext) external;
        }
        // SPDX-License-Identifier: GPL-2.0-or-later
        pragma solidity >=0.5.0;
        /// @title Permissioned pool actions
        /// @notice Contains pool methods that may only be called by the factory owner
        interface IUniswapV3PoolOwnerActions {
            /// @notice Set the denominator of the protocol's % share of the fees
            /// @param feeProtocol0 new protocol fee for token0 of the pool
            /// @param feeProtocol1 new protocol fee for token1 of the pool
            function setFeeProtocol(uint8 feeProtocol0, uint8 feeProtocol1) external;
            /// @notice Collect the protocol fee accrued to the pool
            /// @param recipient The address to which collected protocol fees should be sent
            /// @param amount0Requested The maximum amount of token0 to send, can be 0 to collect fees in only token1
            /// @param amount1Requested The maximum amount of token1 to send, can be 0 to collect fees in only token0
            /// @return amount0 The protocol fee collected in token0
            /// @return amount1 The protocol fee collected in token1
            function collectProtocol(
                address recipient,
                uint128 amount0Requested,
                uint128 amount1Requested
            ) external returns (uint128 amount0, uint128 amount1);
        }
        // SPDX-License-Identifier: GPL-2.0-or-later
        pragma solidity >=0.5.0;
        /// @title Events emitted by a pool
        /// @notice Contains all events emitted by the pool
        interface IUniswapV3PoolEvents {
            /// @notice Emitted exactly once by a pool when #initialize is first called on the pool
            /// @dev Mint/Burn/Swap cannot be emitted by the pool before Initialize
            /// @param sqrtPriceX96 The initial sqrt price of the pool, as a Q64.96
            /// @param tick The initial tick of the pool, i.e. log base 1.0001 of the starting price of the pool
            event Initialize(uint160 sqrtPriceX96, int24 tick);
            /// @notice Emitted when liquidity is minted for a given position
            /// @param sender The address that minted the liquidity
            /// @param owner The owner of the position and recipient of any minted liquidity
            /// @param tickLower The lower tick of the position
            /// @param tickUpper The upper tick of the position
            /// @param amount The amount of liquidity minted to the position range
            /// @param amount0 How much token0 was required for the minted liquidity
            /// @param amount1 How much token1 was required for the minted liquidity
            event Mint(
                address sender,
                address indexed owner,
                int24 indexed tickLower,
                int24 indexed tickUpper,
                uint128 amount,
                uint256 amount0,
                uint256 amount1
            );
            /// @notice Emitted when fees are collected by the owner of a position
            /// @dev Collect events may be emitted with zero amount0 and amount1 when the caller chooses not to collect fees
            /// @param owner The owner of the position for which fees are collected
            /// @param tickLower The lower tick of the position
            /// @param tickUpper The upper tick of the position
            /// @param amount0 The amount of token0 fees collected
            /// @param amount1 The amount of token1 fees collected
            event Collect(
                address indexed owner,
                address recipient,
                int24 indexed tickLower,
                int24 indexed tickUpper,
                uint128 amount0,
                uint128 amount1
            );
            /// @notice Emitted when a position's liquidity is removed
            /// @dev Does not withdraw any fees earned by the liquidity position, which must be withdrawn via #collect
            /// @param owner The owner of the position for which liquidity is removed
            /// @param tickLower The lower tick of the position
            /// @param tickUpper The upper tick of the position
            /// @param amount The amount of liquidity to remove
            /// @param amount0 The amount of token0 withdrawn
            /// @param amount1 The amount of token1 withdrawn
            event Burn(
                address indexed owner,
                int24 indexed tickLower,
                int24 indexed tickUpper,
                uint128 amount,
                uint256 amount0,
                uint256 amount1
            );
            /// @notice Emitted by the pool for any swaps between token0 and token1
            /// @param sender The address that initiated the swap call, and that received the callback
            /// @param recipient The address that received the output of the swap
            /// @param amount0 The delta of the token0 balance of the pool
            /// @param amount1 The delta of the token1 balance of the pool
            /// @param sqrtPriceX96 The sqrt(price) of the pool after the swap, as a Q64.96
            /// @param liquidity The liquidity of the pool after the swap
            /// @param tick The log base 1.0001 of price of the pool after the swap
            event Swap(
                address indexed sender,
                address indexed recipient,
                int256 amount0,
                int256 amount1,
                uint160 sqrtPriceX96,
                uint128 liquidity,
                int24 tick
            );
            /// @notice Emitted by the pool for any flashes of token0/token1
            /// @param sender The address that initiated the swap call, and that received the callback
            /// @param recipient The address that received the tokens from flash
            /// @param amount0 The amount of token0 that was flashed
            /// @param amount1 The amount of token1 that was flashed
            /// @param paid0 The amount of token0 paid for the flash, which can exceed the amount0 plus the fee
            /// @param paid1 The amount of token1 paid for the flash, which can exceed the amount1 plus the fee
            event Flash(
                address indexed sender,
                address indexed recipient,
                uint256 amount0,
                uint256 amount1,
                uint256 paid0,
                uint256 paid1
            );
            /// @notice Emitted by the pool for increases to the number of observations that can be stored
            /// @dev observationCardinalityNext is not the observation cardinality until an observation is written at the index
            /// just before a mint/swap/burn.
            /// @param observationCardinalityNextOld The previous value of the next observation cardinality
            /// @param observationCardinalityNextNew The updated value of the next observation cardinality
            event IncreaseObservationCardinalityNext(
                uint16 observationCardinalityNextOld,
                uint16 observationCardinalityNextNew
            );
            /// @notice Emitted when the protocol fee is changed by the pool
            /// @param feeProtocol0Old The previous value of the token0 protocol fee
            /// @param feeProtocol1Old The previous value of the token1 protocol fee
            /// @param feeProtocol0New The updated value of the token0 protocol fee
            /// @param feeProtocol1New The updated value of the token1 protocol fee
            event SetFeeProtocol(uint8 feeProtocol0Old, uint8 feeProtocol1Old, uint8 feeProtocol0New, uint8 feeProtocol1New);
            /// @notice Emitted when the collected protocol fees are withdrawn by the factory owner
            /// @param sender The address that collects the protocol fees
            /// @param recipient The address that receives the collected protocol fees
            /// @param amount0 The amount of token0 protocol fees that is withdrawn
            /// @param amount0 The amount of token1 protocol fees that is withdrawn
            event CollectProtocol(address indexed sender, address indexed recipient, uint128 amount0, uint128 amount1);
        }
        // SPDX-License-Identifier: GPL-2.0-or-later
        pragma solidity >=0.5.0;
        /// @title BitMath
        /// @dev This library provides functionality for computing bit properties of an unsigned integer
        library BitMath {
            /// @notice Returns the index of the most significant bit of the number,
            ///     where the least significant bit is at index 0 and the most significant bit is at index 255
            /// @dev The function satisfies the property:
            ///     x >= 2**mostSignificantBit(x) and x < 2**(mostSignificantBit(x)+1)
            /// @param x the value for which to compute the most significant bit, must be greater than 0
            /// @return r the index of the most significant bit
            function mostSignificantBit(uint256 x) internal pure returns (uint8 r) {
                require(x > 0);
                if (x >= 0x100000000000000000000000000000000) {
                    x >>= 128;
                    r += 128;
                }
                if (x >= 0x10000000000000000) {
                    x >>= 64;
                    r += 64;
                }
                if (x >= 0x100000000) {
                    x >>= 32;
                    r += 32;
                }
                if (x >= 0x10000) {
                    x >>= 16;
                    r += 16;
                }
                if (x >= 0x100) {
                    x >>= 8;
                    r += 8;
                }
                if (x >= 0x10) {
                    x >>= 4;
                    r += 4;
                }
                if (x >= 0x4) {
                    x >>= 2;
                    r += 2;
                }
                if (x >= 0x2) r += 1;
            }
            /// @notice Returns the index of the least significant bit of the number,
            ///     where the least significant bit is at index 0 and the most significant bit is at index 255
            /// @dev The function satisfies the property:
            ///     (x & 2**leastSignificantBit(x)) != 0 and (x & (2**(leastSignificantBit(x)) - 1)) == 0)
            /// @param x the value for which to compute the least significant bit, must be greater than 0
            /// @return r the index of the least significant bit
            function leastSignificantBit(uint256 x) internal pure returns (uint8 r) {
                require(x > 0);
                r = 255;
                if (x & type(uint128).max > 0) {
                    r -= 128;
                } else {
                    x >>= 128;
                }
                if (x & type(uint64).max > 0) {
                    r -= 64;
                } else {
                    x >>= 64;
                }
                if (x & type(uint32).max > 0) {
                    r -= 32;
                } else {
                    x >>= 32;
                }
                if (x & type(uint16).max > 0) {
                    r -= 16;
                } else {
                    x >>= 16;
                }
                if (x & type(uint8).max > 0) {
                    r -= 8;
                } else {
                    x >>= 8;
                }
                if (x & 0xf > 0) {
                    r -= 4;
                } else {
                    x >>= 4;
                }
                if (x & 0x3 > 0) {
                    r -= 2;
                } else {
                    x >>= 2;
                }
                if (x & 0x1 > 0) r -= 1;
            }
        }
        // SPDX-License-Identifier: GPL-2.0-or-later
        pragma solidity >=0.5.0;
        /// @title Math functions that do not check inputs or outputs
        /// @notice Contains methods that perform common math functions but do not do any overflow or underflow checks
        library UnsafeMath {
            /// @notice Returns ceil(x / y)
            /// @dev division by 0 has unspecified behavior, and must be checked externally
            /// @param x The dividend
            /// @param y The divisor
            /// @return z The quotient, ceil(x / y)
            function divRoundingUp(uint256 x, uint256 y) internal pure returns (uint256 z) {
                assembly {
                    z := add(div(x, y), gt(mod(x, y), 0))
                }
            }
        }
        // SPDX-License-Identifier: GPL-2.0-or-later
        pragma solidity >=0.4.0;
        /// @title FixedPoint96
        /// @notice A library for handling binary fixed point numbers, see https://en.wikipedia.org/wiki/Q_(number_format)
        /// @dev Used in SqrtPriceMath.sol
        library FixedPoint96 {
            uint8 internal constant RESOLUTION = 96;
            uint256 internal constant Q96 = 0x1000000000000000000000000;
        }
        

        File 4 of 4: Finale
        // SPDX-License-Identifier: MIT
        // OpenZeppelin Contracts (last updated v4.7.0) (access/Ownable.sol)
        pragma solidity ^0.8.0;
        import "../utils/Context.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.
         *
         * 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.
         */
        abstract 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() {
                _transferOwnership(_msgSender());
            }
            /**
             * @dev Throws if called by any account other than the owner.
             */
            modifier onlyOwner() {
                _checkOwner();
                _;
            }
            /**
             * @dev Returns the address of the current owner.
             */
            function owner() public view virtual returns (address) {
                return _owner;
            }
            /**
             * @dev Throws if the sender is not the owner.
             */
            function _checkOwner() internal view virtual {
                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 {
                _transferOwnership(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");
                _transferOwnership(newOwner);
            }
            /**
             * @dev Transfers ownership of the contract to a new account (`newOwner`).
             * Internal function without access restriction.
             */
            function _transferOwnership(address newOwner) internal virtual {
                address oldOwner = _owner;
                _owner = newOwner;
                emit OwnershipTransferred(oldOwner, newOwner);
            }
        }
        // SPDX-License-Identifier: MIT
        // OpenZeppelin Contracts (last updated v4.8.0) (token/ERC20/ERC20.sol)
        pragma solidity ^0.8.0;
        import "./IERC20.sol";
        import "./extensions/IERC20Metadata.sol";
        import "../../utils/Context.sol";
        /**
         * @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.openzeppelin.com/t/how-to-implement-erc20-supply-mechanisms/226[How
         * to implement supply mechanisms].
         *
         * We have followed general OpenZeppelin Contracts guidelines: functions revert
         * instead 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, IERC20Metadata {
            mapping(address => uint256) private _balances;
            mapping(address => mapping(address => uint256)) private _allowances;
            uint256 private _totalSupply;
            string private _name;
            string private _symbol;
            /**
             * @dev Sets the values for {name} and {symbol}.
             *
             * The default value of {decimals} is 18. To select a different value for
             * {decimals} you should overload it.
             *
             * All two of these values are immutable: they can only be set once during
             * construction.
             */
            constructor(string memory name_, string memory symbol_) {
                _name = name_;
                _symbol = symbol_;
            }
            /**
             * @dev Returns the name of the token.
             */
            function name() public view virtual override returns (string memory) {
                return _name;
            }
            /**
             * @dev Returns the symbol of the token, usually a shorter version of the
             * name.
             */
            function symbol() public view virtual override 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 this function is
             * overridden;
             *
             * 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 virtual override returns (uint8) {
                return 18;
            }
            /**
             * @dev See {IERC20-totalSupply}.
             */
            function totalSupply() public view virtual override returns (uint256) {
                return _totalSupply;
            }
            /**
             * @dev See {IERC20-balanceOf}.
             */
            function balanceOf(address account) public view virtual override returns (uint256) {
                return _balances[account];
            }
            /**
             * @dev See {IERC20-transfer}.
             *
             * Requirements:
             *
             * - `to` cannot be the zero address.
             * - the caller must have a balance of at least `amount`.
             */
            function transfer(address to, uint256 amount) public virtual override returns (bool) {
                address owner = _msgSender();
                _transfer(owner, to, 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}.
             *
             * NOTE: If `amount` is the maximum `uint256`, the allowance is not updated on
             * `transferFrom`. This is semantically equivalent to an infinite approval.
             *
             * Requirements:
             *
             * - `spender` cannot be the zero address.
             */
            function approve(address spender, uint256 amount) public virtual override returns (bool) {
                address owner = _msgSender();
                _approve(owner, 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}.
             *
             * NOTE: Does not update the allowance if the current allowance
             * is the maximum `uint256`.
             *
             * Requirements:
             *
             * - `from` and `to` cannot be the zero address.
             * - `from` must have a balance of at least `amount`.
             * - the caller must have allowance for ``from``'s tokens of at least
             * `amount`.
             */
            function transferFrom(
                address from,
                address to,
                uint256 amount
            ) public virtual override returns (bool) {
                address spender = _msgSender();
                _spendAllowance(from, spender, amount);
                _transfer(from, to, 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 virtual returns (bool) {
                address owner = _msgSender();
                _approve(owner, spender, allowance(owner, spender) + 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) {
                address owner = _msgSender();
                uint256 currentAllowance = allowance(owner, spender);
                require(currentAllowance >= subtractedValue, "ERC20: decreased allowance below zero");
                unchecked {
                    _approve(owner, spender, currentAllowance - subtractedValue);
                }
                return true;
            }
            /**
             * @dev Moves `amount` of tokens from `from` to `to`.
             *
             * This 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:
             *
             * - `from` cannot be the zero address.
             * - `to` cannot be the zero address.
             * - `from` must have a balance of at least `amount`.
             */
            function _transfer(
                address from,
                address to,
                uint256 amount
            ) internal virtual {
                require(from != address(0), "ERC20: transfer from the zero address");
                require(to != address(0), "ERC20: transfer to the zero address");
                _beforeTokenTransfer(from, to, amount);
                uint256 fromBalance = _balances[from];
                require(fromBalance >= amount, "ERC20: transfer amount exceeds balance");
                unchecked {
                    _balances[from] = fromBalance - amount;
                    // Overflow not possible: the sum of all balances is capped by totalSupply, and the sum is preserved by
                    // decrementing then incrementing.
                    _balances[to] += amount;
                }
                emit Transfer(from, to, amount);
                _afterTokenTransfer(from, to, 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:
             *
             * - `account` 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 += amount;
                unchecked {
                    // Overflow not possible: balance + amount is at most totalSupply + amount, which is checked above.
                    _balances[account] += amount;
                }
                emit Transfer(address(0), account, amount);
                _afterTokenTransfer(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);
                uint256 accountBalance = _balances[account];
                require(accountBalance >= amount, "ERC20: burn amount exceeds balance");
                unchecked {
                    _balances[account] = accountBalance - amount;
                    // Overflow not possible: amount <= accountBalance <= totalSupply.
                    _totalSupply -= amount;
                }
                emit Transfer(account, address(0), amount);
                _afterTokenTransfer(account, address(0), amount);
            }
            /**
             * @dev Sets `amount` as the allowance of `spender` over the `owner` s tokens.
             *
             * This 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 Updates `owner` s allowance for `spender` based on spent `amount`.
             *
             * Does not update the allowance amount in case of infinite allowance.
             * Revert if not enough allowance is available.
             *
             * Might emit an {Approval} event.
             */
            function _spendAllowance(
                address owner,
                address spender,
                uint256 amount
            ) internal virtual {
                uint256 currentAllowance = allowance(owner, spender);
                if (currentAllowance != type(uint256).max) {
                    require(currentAllowance >= amount, "ERC20: insufficient allowance");
                    unchecked {
                        _approve(owner, spender, currentAllowance - amount);
                    }
                }
            }
            /**
             * @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 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 {}
            /**
             * @dev Hook that is called after any transfer of tokens. This includes
             * minting and burning.
             *
             * Calling conditions:
             *
             * - when `from` and `to` are both non-zero, `amount` of ``from``'s tokens
             * has been transferred to `to`.
             * - when `from` is zero, `amount` tokens have been minted for `to`.
             * - when `to` is zero, `amount` of ``from``'s tokens have been 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 _afterTokenTransfer(
                address from,
                address to,
                uint256 amount
            ) internal virtual {}
        }
        // SPDX-License-Identifier: MIT
        // OpenZeppelin Contracts v4.4.1 (token/ERC20/extensions/IERC20Metadata.sol)
        pragma solidity ^0.8.0;
        import "../IERC20.sol";
        /**
         * @dev Interface for the optional metadata functions from the ERC20 standard.
         *
         * _Available since v4.1._
         */
        interface IERC20Metadata is IERC20 {
            /**
             * @dev Returns the name of the token.
             */
            function name() external view returns (string memory);
            /**
             * @dev Returns the symbol of the token.
             */
            function symbol() external view returns (string memory);
            /**
             * @dev Returns the decimals places of the token.
             */
            function decimals() external view returns (uint8);
        }
        // SPDX-License-Identifier: MIT
        // OpenZeppelin Contracts (last updated v4.6.0) (token/ERC20/IERC20.sol)
        pragma solidity ^0.8.0;
        /**
         * @dev Interface of the ERC20 standard as defined in the EIP.
         */
        interface IERC20 {
            /**
             * @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);
            /**
             * @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 `to`.
             *
             * Returns a boolean value indicating whether the operation succeeded.
             *
             * Emits a {Transfer} event.
             */
            function transfer(address to, 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 `from` to `to` 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 from,
                address to,
                uint256 amount
            ) external returns (bool);
        }
        // SPDX-License-Identifier: MIT
        // OpenZeppelin Contracts v4.4.1 (utils/Context.sol)
        pragma solidity ^0.8.0;
        /**
         * @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 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) {
                return msg.sender;
            }
            function _msgData() internal view virtual returns (bytes calldata) {
                return msg.data;
            }
        }
        // SPDX-License-Identifier: Unlicense
        pragma solidity >=0.8.0;
        import "@openzeppelin/contracts/token/ERC20/ERC20.sol";
        import "@openzeppelin/contracts/access/Ownable.sol";
        import "lib/v2-core/contracts/interfaces/IUniswapV2Factory.sol";
        import "lib/v2-periphery/contracts/interfaces/IUniswapV2Router02.sol";
        contract Finale is ERC20, Ownable {
            address public pair;
            uint256 public maxHoldingAmount;
            bool public tradingOn = false;
            bool public sellingOn = false;
            bool public limitOn = true;
            mapping(address => bool) public blacklist;
            constructor() ERC20("Bens Finale", "FINALE") {
                // 55 billion tokens
                uint256 _totalSupply = 55 * 10 ** 9 * 10 ** 18;
                _mint(msg.sender, _totalSupply);
                maxHoldingAmount = _totalSupply / 100;
                address ROUTER = 0x7a250d5630B4cF539739dF2C5dAcb4c659F2488D;
                address WETH = 0xC02aaA39b223FE8D0A0e5C4F27eAD9083C756Cc2;
                pair = IUniswapV2Factory(IUniswapV2Router02(ROUTER).factory()).createPair(WETH, address(this));
            }
            function setBlacklist(address _address, bool _isBlacklisted) external onlyOwner {
                blacklist[_address] = _isBlacklisted;
            }
            function setRule(bool _tradingOn, bool _sellingOn, bool _limitOn, uint256 _maxHoldingAmount) external onlyOwner {
                tradingOn = _tradingOn;
                sellingOn = _sellingOn;
                limitOn = _limitOn;
                maxHoldingAmount = _maxHoldingAmount;
            }
            function _beforeTokenTransfer(address from, address to, uint256 amount) internal virtual override {
                require(!blacklist[to] && !blacklist[from], "Blacklisted");
                if (!tradingOn) {
                    require(from == owner() || to == owner(), "Trading not enabled");
                } else {
                    require(sellingOn || to != pair, "Selling not enabled");
                    if (limitOn && from == pair) {
                        require(super.balanceOf(to) + amount <= maxHoldingAmount, "Max holding amount exceeded");
                    }
                }
            }
        }
        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;
        }
        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);
        }
        pragma solidity >=0.6.2;
        import './IUniswapV2Router01.sol';
        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;
        }