ETH Price: $2,252.91 (-6.95%)

Transaction Decoder

Block:
21165736 at Nov-11-2024 04:48:35 PM +UTC
Transaction Fee:
0.011585732692546662 ETH $26.10
Gas Used:
242,413 Gas / 47.793363774 Gwei

Emitted Events:

152 GPv2Settlement.Trade( owner=0x6800868deA7B1aDEE012F0272d354E415d9e97b8, sellToken=SER, buyToken=0xEeeeeEee...eeeeeEEeE, sellAmount=106830000000000, buyAmount=756324596744447525, feeAmount=0, orderUid=0x64C3288D1528CD1092A267BFBCB0308EBF35F2C57908F84804E94BC05B8D4F9A6800868DEA7B1ADEE012F0272D354E415D9E97B867323C33 )
153 SER.Transfer( from=0x6800868deA7B1aDEE012F0272d354E415d9e97b8, to=[Receiver] GPv2Settlement, value=106830000000000 )
154 SER.Approval( owner=0x6800868deA7B1aDEE012F0272d354E415d9e97b8, spender=GPv2VaultRelayer, value=115792089237316195423570985008687907853269984665640564039457583901083129639935 )
155 SER.Approval( owner=[Receiver] GPv2Settlement, spender=[Receiver] UniswapV2Router02, value=115792089237316195423570985008687907853269984665640564039457584007913129639935 )
156 GPv2Settlement.Interaction( target=SER, value=0, selector=System.Byte[] )
157 SER.Transfer( from=[Receiver] GPv2Settlement, to=UniswapV2Pair, value=106830000000000 )
158 SER.Approval( owner=[Receiver] GPv2Settlement, spender=[Receiver] UniswapV2Router02, value=115792089237316195423570985008687907853269984665640564039457583901083129639935 )
159 WETH9.Transfer( src=UniswapV2Pair, dst=[Receiver] GPv2Settlement, wad=787627772938174364 )
160 UniswapV2Pair.Sync( reserve0=3817209932447176, reserve1=27437909374926831182 )
161 UniswapV2Pair.Swap( sender=[Receiver] UniswapV2Router02, amount0In=106830000000000, amount1In=0, amount0Out=0, amount1Out=787627772938174364, to=[Receiver] GPv2Settlement )
162 GPv2Settlement.Interaction( target=[Receiver] UniswapV2Router02, value=0, selector=System.Byte[] )
163 WETH9.Withdrawal( src=[Receiver] GPv2Settlement, wad=756324596744447525 )
164 GPv2Settlement.Interaction( target=WETH9, value=0, selector=System.Byte[] )
165 GPv2Settlement.Settlement( solver=[Sender] 0x6bf97afe2d2c790999cded2a8523009eb8a0823f )

Account State Difference:

  Address   Before After State Difference Code
0x309850e0...dC3046385
(Titan Builder)
5.779359632709400735 Eth5.780105052684400735 Eth0.000745419975
0x666f43fB...ddA845ec0
0x6800868d...15d9e97b8 0.150341491190189328 Eth0.906666087934636853 Eth0.756324596744447525
0x6bf97aFe...eB8a0823f
4.693207080466513207 Eth
Nonce: 2081
4.681621347773966545 Eth
Nonce: 2082
0.011585732692546662
0x9008D19f...10560ab41
(CoW Protocol: GPv2Settlement)
0xC02aaA39...83C756Cc2 2,883,590.928936879910318217 Eth2,883,590.172612283165870692 Eth0.756324596744447525

Execution Trace

GPv2Settlement.13d79a0b( )
  • EIP173Proxy.02cc250d( )
    • GPv2AllowListAuthentication.isSolver( prospectiveSolver=0x6bf97aFe2D2C790999cDEd2a8523009eB8a0823f ) => ( True )
    • Null: 0x000...001.64c3288d( )
    • GPv2VaultRelayer.transferFromAccounts( transfers= )
      • SER.transferFrom( sender=0x6800868deA7B1aDEE012F0272d354E415d9e97b8, recipient=0x9008D19f58AAbD9eD0D60971565AA8510560ab41, amount=106830000000000 ) => ( True )
      • SER.approve( spender=0x7a250d5630B4cF539739dF2C5dAcb4c659F2488D, amount=115792089237316195423570985008687907853269984665640564039457584007913129639935 ) => ( True )
      • UniswapV2Router02.swapExactTokensForTokens( amountIn=106830000000000, amountOutMin=758369050676242479, path=[0x309850e0F7d5191B708eBaC76b14161dC3046385, 0xC02aaA39b223FE8D0A0e5C4F27eAD9083C756Cc2], to=0x9008D19f58AAbD9eD0D60971565AA8510560ab41, deadline=115792089237316195423570985008687907853269984665640564039457584007913129639935 ) => ( amounts=[106830000000000, 787627772938174364] )
        • UniswapV2Pair.STATICCALL( )
        • SER.transferFrom( sender=0x9008D19f58AAbD9eD0D60971565AA8510560ab41, recipient=0x666f43fBD8039119e5460Da7677051CddA845ec0, amount=106830000000000 ) => ( True )
        • UniswapV2Pair.swap( amount0Out=0, amount1Out=787627772938174364, to=0x9008D19f58AAbD9eD0D60971565AA8510560ab41, data=0x )
          • WETH9.transfer( dst=0x9008D19f58AAbD9eD0D60971565AA8510560ab41, wad=787627772938174364 ) => ( True )
          • SER.balanceOf( account=0x666f43fBD8039119e5460Da7677051CddA845ec0 ) => ( 3817209932447176 )
          • WETH9.balanceOf( 0x666f43fBD8039119e5460Da7677051CddA845ec0 ) => ( 27437909374926831182 )
          • WETH9.withdraw( wad=756324596744447525 )
            • ETH 0.756324596744447525 GPv2Settlement.CALL( )
            • ETH 0.756324596744447525 0x6800868dea7b1adee012f0272d354e415d9e97b8.CALL( )
              File 1 of 8: GPv2Settlement
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              pragma abicoder v2;
              import "./GPv2VaultRelayer.sol";
              import "./interfaces/GPv2Authentication.sol";
              import "./interfaces/IERC20.sol";
              import "./interfaces/IVault.sol";
              import "./libraries/GPv2Interaction.sol";
              import "./libraries/GPv2Order.sol";
              import "./libraries/GPv2Trade.sol";
              import "./libraries/GPv2Transfer.sol";
              import "./libraries/SafeCast.sol";
              import "./libraries/SafeMath.sol";
              import "./mixins/GPv2Signing.sol";
              import "./mixins/ReentrancyGuard.sol";
              import "./mixins/StorageAccessible.sol";
              /// @title Gnosis Protocol v2 Settlement Contract
              /// @author Gnosis Developers
              contract GPv2Settlement is GPv2Signing, ReentrancyGuard, StorageAccessible {
                  using GPv2Order for bytes;
                  using GPv2Transfer for IVault;
                  using SafeCast for int256;
                  using SafeCast for uint256;
                  using SafeMath for uint256;
                  /// @dev The authenticator is used to determine who can call the settle function.
                  /// That is, only authorised solvers have the ability to invoke settlements.
                  /// Any valid authenticator implements an isSolver method called by the onlySolver
                  /// modifier below.
                  GPv2Authentication public immutable authenticator;
                  /// @dev The Balancer Vault the protocol uses for managing user funds.
                  IVault public immutable vault;
                  /// @dev The Balancer Vault relayer which can interact on behalf of users.
                  /// This contract is created during deployment
                  GPv2VaultRelayer public immutable vaultRelayer;
                  /// @dev Map each user order by UID to the amount that has been filled so
                  /// far. If this amount is larger than or equal to the amount traded in the
                  /// order (amount sold for sell orders, amount bought for buy orders) then
                  /// the order cannot be traded anymore. If the order is fill or kill, then
                  /// this value is only used to determine whether the order has already been
                  /// executed.
                  mapping(bytes => uint256) public filledAmount;
                  /// @dev Event emitted for each executed trade.
                  event Trade(
                      address indexed owner,
                      IERC20 sellToken,
                      IERC20 buyToken,
                      uint256 sellAmount,
                      uint256 buyAmount,
                      uint256 feeAmount,
                      bytes orderUid
                  );
                  /// @dev Event emitted for each executed interaction.
                  ///
                  /// For gas effeciency, only the interaction calldata selector (first 4
                  /// bytes) is included in the event. For interactions without calldata or
                  /// whose calldata is shorter than 4 bytes, the selector will be `0`.
                  event Interaction(address indexed target, uint256 value, bytes4 selector);
                  /// @dev Event emitted when a settlement complets
                  event Settlement(address indexed solver);
                  /// @dev Event emitted when an order is invalidated.
                  event OrderInvalidated(address indexed owner, bytes orderUid);
                  constructor(GPv2Authentication authenticator_, IVault vault_) {
                      authenticator = authenticator_;
                      vault = vault_;
                      vaultRelayer = new GPv2VaultRelayer(vault_);
                  }
                  // solhint-disable-next-line no-empty-blocks
                  receive() external payable {
                      // NOTE: Include an empty receive function so that the settlement
                      // contract can receive Ether from contract interactions.
                  }
                  /// @dev This modifier is called by settle function to block any non-listed
                  /// senders from settling batches.
                  modifier onlySolver {
                      require(authenticator.isSolver(msg.sender), "GPv2: not a solver");
                      _;
                  }
                  /// @dev Modifier to ensure that an external function is only callable as a
                  /// settlement interaction.
                  modifier onlyInteraction {
                      require(address(this) == msg.sender, "GPv2: not an interaction");
                      _;
                  }
                  /// @dev Settle the specified orders at a clearing price. Note that it is
                  /// the responsibility of the caller to ensure that all GPv2 invariants are
                  /// upheld for the input settlement, otherwise this call will revert.
                  /// Namely:
                  /// - All orders are valid and signed
                  /// - Accounts have sufficient balance and approval.
                  /// - Settlement contract has sufficient balance to execute trades. Note
                  ///   this implies that the accumulated fees held in the contract can also
                  ///   be used for settlement. This is OK since:
                  ///   - Solvers need to be authorized
                  ///   - Misbehaving solvers will be slashed for abusing accumulated fees for
                  ///     settlement
                  ///   - Critically, user orders are entirely protected
                  ///
                  /// @param tokens An array of ERC20 tokens to be traded in the settlement.
                  /// Trades encode tokens as indices into this array.
                  /// @param clearingPrices An array of clearing prices where the `i`-th price
                  /// is for the `i`-th token in the [`tokens`] array.
                  /// @param trades Trades for signed orders.
                  /// @param interactions Smart contract interactions split into three
                  /// separate lists to be run before the settlement, during the settlement
                  /// and after the settlement respectively.
                  function settle(
                      IERC20[] calldata tokens,
                      uint256[] calldata clearingPrices,
                      GPv2Trade.Data[] calldata trades,
                      GPv2Interaction.Data[][3] calldata interactions
                  ) external nonReentrant onlySolver {
                      executeInteractions(interactions[0]);
                      (
                          GPv2Transfer.Data[] memory inTransfers,
                          GPv2Transfer.Data[] memory outTransfers
                      ) = computeTradeExecutions(tokens, clearingPrices, trades);
                      vaultRelayer.transferFromAccounts(inTransfers);
                      executeInteractions(interactions[1]);
                      vault.transferToAccounts(outTransfers);
                      executeInteractions(interactions[2]);
                      emit Settlement(msg.sender);
                  }
                  /// @dev Settle an order directly against Balancer V2 pools.
                  ///
                  /// @param swaps The Balancer V2 swap steps to use for trading.
                  /// @param tokens An array of ERC20 tokens to be traded in the settlement.
                  /// Swaps and the trade encode tokens as indices into this array.
                  /// @param trade The trade to match directly against Balancer liquidity. The
                  /// order will always be fully executed, so the trade's `executedAmount`
                  /// field is used to represent a swap limit amount.
                  function swap(
                      IVault.BatchSwapStep[] calldata swaps,
                      IERC20[] calldata tokens,
                      GPv2Trade.Data calldata trade
                  ) external nonReentrant onlySolver {
                      RecoveredOrder memory recoveredOrder = allocateRecoveredOrder();
                      GPv2Order.Data memory order = recoveredOrder.data;
                      recoverOrderFromTrade(recoveredOrder, tokens, trade);
                      IVault.SwapKind kind =
                          order.kind == GPv2Order.KIND_SELL
                              ? IVault.SwapKind.GIVEN_IN
                              : IVault.SwapKind.GIVEN_OUT;
                      IVault.FundManagement memory funds;
                      funds.sender = recoveredOrder.owner;
                      funds.fromInternalBalance =
                          order.sellTokenBalance == GPv2Order.BALANCE_INTERNAL;
                      funds.recipient = payable(recoveredOrder.receiver);
                      funds.toInternalBalance =
                          order.buyTokenBalance == GPv2Order.BALANCE_INTERNAL;
                      int256[] memory limits = new int256[](tokens.length);
                      uint256 limitAmount = trade.executedAmount;
                      // NOTE: Array allocation initializes elements to 0, so we only need to
                      // set the limits we care about. This ensures that the swap will respect
                      // the order's limit price.
                      if (order.kind == GPv2Order.KIND_SELL) {
                          require(limitAmount >= order.buyAmount, "GPv2: limit too low");
                          limits[trade.sellTokenIndex] = order.sellAmount.toInt256();
                          limits[trade.buyTokenIndex] = -limitAmount.toInt256();
                      } else {
                          require(limitAmount <= order.sellAmount, "GPv2: limit too high");
                          limits[trade.sellTokenIndex] = limitAmount.toInt256();
                          limits[trade.buyTokenIndex] = -order.buyAmount.toInt256();
                      }
                      GPv2Transfer.Data memory feeTransfer;
                      feeTransfer.account = recoveredOrder.owner;
                      feeTransfer.token = order.sellToken;
                      feeTransfer.amount = order.feeAmount;
                      feeTransfer.balance = order.sellTokenBalance;
                      int256[] memory tokenDeltas =
                          vaultRelayer.batchSwapWithFee(
                              kind,
                              swaps,
                              tokens,
                              funds,
                              limits,
                              // NOTE: Specify a deadline to ensure that an expire order
                              // cannot be used to trade.
                              order.validTo,
                              feeTransfer
                          );
                      bytes memory orderUid = recoveredOrder.uid;
                      uint256 executedSellAmount =
                          tokenDeltas[trade.sellTokenIndex].toUint256();
                      uint256 executedBuyAmount =
                          (-tokenDeltas[trade.buyTokenIndex]).toUint256();
                      // NOTE: Check that the orders were completely filled and update their
                      // filled amounts to avoid replaying them. The limit price and order
                      // validity have already been verified when executing the swap through
                      // the `limit` and `deadline` parameters.
                      require(filledAmount[orderUid] == 0, "GPv2: order filled");
                      if (order.kind == GPv2Order.KIND_SELL) {
                          require(
                              executedSellAmount == order.sellAmount,
                              "GPv2: sell amount not respected"
                          );
                          filledAmount[orderUid] = order.sellAmount;
                      } else {
                          require(
                              executedBuyAmount == order.buyAmount,
                              "GPv2: buy amount not respected"
                          );
                          filledAmount[orderUid] = order.buyAmount;
                      }
                      emit Trade(
                          recoveredOrder.owner,
                          order.sellToken,
                          order.buyToken,
                          executedSellAmount,
                          executedBuyAmount,
                          order.feeAmount,
                          orderUid
                      );
                      emit Settlement(msg.sender);
                  }
                  /// @dev Invalidate onchain an order that has been signed offline.
                  ///
                  /// @param orderUid The unique identifier of the order that is to be made
                  /// invalid after calling this function. The user that created the order
                  /// must be the the sender of this message. See [`extractOrderUidParams`]
                  /// for details on orderUid.
                  function invalidateOrder(bytes calldata orderUid) external {
                      (, address owner, ) = orderUid.extractOrderUidParams();
                      require(owner == msg.sender, "GPv2: caller does not own order");
                      filledAmount[orderUid] = uint256(-1);
                      emit OrderInvalidated(owner, orderUid);
                  }
                  /// @dev Free storage from the filled amounts of **expired** orders to claim
                  /// a gas refund. This method can only be called as an interaction.
                  ///
                  /// @param orderUids The unique identifiers of the expired order to free
                  /// storage for.
                  function freeFilledAmountStorage(bytes[] calldata orderUids)
                      external
                      onlyInteraction
                  {
                      freeOrderStorage(filledAmount, orderUids);
                  }
                  /// @dev Free storage from the pre signatures of **expired** orders to claim
                  /// a gas refund. This method can only be called as an interaction.
                  ///
                  /// @param orderUids The unique identifiers of the expired order to free
                  /// storage for.
                  function freePreSignatureStorage(bytes[] calldata orderUids)
                      external
                      onlyInteraction
                  {
                      freeOrderStorage(preSignature, orderUids);
                  }
                  /// @dev Process all trades one at a time returning the computed net in and
                  /// out transfers for the trades.
                  ///
                  /// This method reverts if processing of any single trade fails. See
                  /// [`computeTradeExecution`] for more details.
                  ///
                  /// @param tokens An array of ERC20 tokens to be traded in the settlement.
                  /// @param clearingPrices An array of token clearing prices.
                  /// @param trades Trades for signed orders.
                  /// @return inTransfers Array of in transfers of executed sell amounts.
                  /// @return outTransfers Array of out transfers of executed buy amounts.
                  function computeTradeExecutions(
                      IERC20[] calldata tokens,
                      uint256[] calldata clearingPrices,
                      GPv2Trade.Data[] calldata trades
                  )
                      internal
                      returns (
                          GPv2Transfer.Data[] memory inTransfers,
                          GPv2Transfer.Data[] memory outTransfers
                      )
                  {
                      RecoveredOrder memory recoveredOrder = allocateRecoveredOrder();
                      inTransfers = new GPv2Transfer.Data[](trades.length);
                      outTransfers = new GPv2Transfer.Data[](trades.length);
                      for (uint256 i = 0; i < trades.length; i++) {
                          GPv2Trade.Data calldata trade = trades[i];
                          recoverOrderFromTrade(recoveredOrder, tokens, trade);
                          computeTradeExecution(
                              recoveredOrder,
                              clearingPrices[trade.sellTokenIndex],
                              clearingPrices[trade.buyTokenIndex],
                              trade.executedAmount,
                              inTransfers[i],
                              outTransfers[i]
                          );
                      }
                  }
                  /// @dev Compute the in and out transfer amounts for a single trade.
                  /// This function reverts if:
                  /// - The order has expired
                  /// - The order's limit price is not respected
                  /// - The order gets over-filled
                  /// - The fee discount is larger than the executed fee
                  ///
                  /// @param recoveredOrder The recovered order to process.
                  /// @param sellPrice The price of the order's sell token.
                  /// @param buyPrice The price of the order's buy token.
                  /// @param executedAmount The portion of the order to execute. This will be
                  /// ignored for fill-or-kill orders.
                  /// @param inTransfer Memory location for computed executed sell amount
                  /// transfer.
                  /// @param outTransfer Memory location for computed executed buy amount
                  /// transfer.
                  function computeTradeExecution(
                      RecoveredOrder memory recoveredOrder,
                      uint256 sellPrice,
                      uint256 buyPrice,
                      uint256 executedAmount,
                      GPv2Transfer.Data memory inTransfer,
                      GPv2Transfer.Data memory outTransfer
                  ) internal {
                      GPv2Order.Data memory order = recoveredOrder.data;
                      bytes memory orderUid = recoveredOrder.uid;
                      // solhint-disable-next-line not-rely-on-time
                      require(order.validTo >= block.timestamp, "GPv2: order expired");
                      // NOTE: The following computation is derived from the equation:
                      // ```
                      // amount_x * price_x = amount_y * price_y
                      // ```
                      // Intuitively, if a chocolate bar is 0,50€ and a beer is 4€, 1 beer
                      // is roughly worth 8 chocolate bars (`1 * 4 = 8 * 0.5`). From this
                      // equation, we can derive:
                      // - The limit price for selling `x` and buying `y` is respected iff
                      // ```
                      // limit_x * price_x >= limit_y * price_y
                      // ```
                      // - The executed amount of token `y` given some amount of `x` and
                      //   clearing prices is:
                      // ```
                      // amount_y = amount_x * price_x / price_y
                      // ```
                      require(
                          order.sellAmount.mul(sellPrice) >= order.buyAmount.mul(buyPrice),
                          "GPv2: limit price not respected"
                      );
                      uint256 executedSellAmount;
                      uint256 executedBuyAmount;
                      uint256 executedFeeAmount;
                      uint256 currentFilledAmount;
                      if (order.kind == GPv2Order.KIND_SELL) {
                          if (order.partiallyFillable) {
                              executedSellAmount = executedAmount;
                              executedFeeAmount = order.feeAmount.mul(executedSellAmount).div(
                                  order.sellAmount
                              );
                          } else {
                              executedSellAmount = order.sellAmount;
                              executedFeeAmount = order.feeAmount;
                          }
                          executedBuyAmount = executedSellAmount.mul(sellPrice).ceilDiv(
                              buyPrice
                          );
                          currentFilledAmount = filledAmount[orderUid].add(
                              executedSellAmount
                          );
                          require(
                              currentFilledAmount <= order.sellAmount,
                              "GPv2: order filled"
                          );
                      } else {
                          if (order.partiallyFillable) {
                              executedBuyAmount = executedAmount;
                              executedFeeAmount = order.feeAmount.mul(executedBuyAmount).div(
                                  order.buyAmount
                              );
                          } else {
                              executedBuyAmount = order.buyAmount;
                              executedFeeAmount = order.feeAmount;
                          }
                          executedSellAmount = executedBuyAmount.mul(buyPrice).div(sellPrice);
                          currentFilledAmount = filledAmount[orderUid].add(executedBuyAmount);
                          require(
                              currentFilledAmount <= order.buyAmount,
                              "GPv2: order filled"
                          );
                      }
                      executedSellAmount = executedSellAmount.add(executedFeeAmount);
                      filledAmount[orderUid] = currentFilledAmount;
                      emit Trade(
                          recoveredOrder.owner,
                          order.sellToken,
                          order.buyToken,
                          executedSellAmount,
                          executedBuyAmount,
                          executedFeeAmount,
                          orderUid
                      );
                      inTransfer.account = recoveredOrder.owner;
                      inTransfer.token = order.sellToken;
                      inTransfer.amount = executedSellAmount;
                      inTransfer.balance = order.sellTokenBalance;
                      outTransfer.account = recoveredOrder.receiver;
                      outTransfer.token = order.buyToken;
                      outTransfer.amount = executedBuyAmount;
                      outTransfer.balance = order.buyTokenBalance;
                  }
                  /// @dev Execute a list of arbitrary contract calls from this contract.
                  /// @param interactions The list of interactions to execute.
                  function executeInteractions(GPv2Interaction.Data[] calldata interactions)
                      internal
                  {
                      for (uint256 i; i < interactions.length; i++) {
                          GPv2Interaction.Data calldata interaction = interactions[i];
                          // To prevent possible attack on user funds, we explicitly disable
                          // any interactions with the vault relayer contract.
                          require(
                              interaction.target != address(vaultRelayer),
                              "GPv2: forbidden interaction"
                          );
                          GPv2Interaction.execute(interaction);
                          emit Interaction(
                              interaction.target,
                              interaction.value,
                              GPv2Interaction.selector(interaction)
                          );
                      }
                  }
                  /// @dev Claims refund for the specified storage and order UIDs.
                  ///
                  /// This method reverts if any of the orders are still valid.
                  ///
                  /// @param orderUids Order refund data for freeing storage.
                  /// @param orderStorage Order storage mapped on a UID.
                  function freeOrderStorage(
                      mapping(bytes => uint256) storage orderStorage,
                      bytes[] calldata orderUids
                  ) internal {
                      for (uint256 i = 0; i < orderUids.length; i++) {
                          bytes calldata orderUid = orderUids[i];
                          (, , uint32 validTo) = orderUid.extractOrderUidParams();
                          // solhint-disable-next-line not-rely-on-time
                          require(validTo < block.timestamp, "GPv2: order still valid");
                          orderStorage[orderUid] = 0;
                      }
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              pragma abicoder v2;
              import "./interfaces/IERC20.sol";
              import "./interfaces/IVault.sol";
              import "./libraries/GPv2Transfer.sol";
              /// @title Gnosis Protocol v2 Vault Relayer Contract
              /// @author Gnosis Developers
              contract GPv2VaultRelayer {
                  using GPv2Transfer for IVault;
                  /// @dev The creator of the contract which has special permissions. This
                  /// value is set at creation time and cannot change.
                  address private immutable creator;
                  /// @dev The vault this relayer is for.
                  IVault private immutable vault;
                  constructor(IVault vault_) {
                      creator = msg.sender;
                      vault = vault_;
                  }
                  /// @dev Modifier that ensures that a function can only be called by the
                  /// creator of this contract.
                  modifier onlyCreator {
                      require(msg.sender == creator, "GPv2: not creator");
                      _;
                  }
                  /// @dev Transfers all sell amounts for the executed trades from their
                  /// owners to the caller.
                  ///
                  /// This function reverts if:
                  /// - The caller is not the creator of the vault relayer
                  /// - Any ERC20 transfer fails
                  ///
                  /// @param transfers The transfers to execute.
                  function transferFromAccounts(GPv2Transfer.Data[] calldata transfers)
                      external
                      onlyCreator
                  {
                      vault.transferFromAccounts(transfers, msg.sender);
                  }
                  /// @dev Performs a Balancer batched swap on behalf of a user and sends a
                  /// fee to the caller.
                  ///
                  /// This function reverts if:
                  /// - The caller is not the creator of the vault relayer
                  /// - The swap fails
                  /// - The fee transfer fails
                  ///
                  /// @param kind The Balancer swap kind, this can either be `GIVEN_IN` for
                  /// sell orders or `GIVEN_OUT` for buy orders.
                  /// @param swaps The swaps to perform.
                  /// @param tokens The tokens for the swaps. Swaps encode to and from tokens
                  /// as indices into this array.
                  /// @param funds The fund management settings, specifying the user the swap
                  /// is being performed for as well as the recipient of the proceeds.
                  /// @param limits Swap limits for encoding limit prices.
                  /// @param deadline The deadline for the swap.
                  /// @param feeTransfer The transfer data for the caller fee.
                  /// @return tokenDeltas The executed swap amounts.
                  function batchSwapWithFee(
                      IVault.SwapKind kind,
                      IVault.BatchSwapStep[] calldata swaps,
                      IERC20[] memory tokens,
                      IVault.FundManagement memory funds,
                      int256[] memory limits,
                      uint256 deadline,
                      GPv2Transfer.Data calldata feeTransfer
                  ) external onlyCreator returns (int256[] memory tokenDeltas) {
                      tokenDeltas = vault.batchSwap(
                          kind,
                          swaps,
                          tokens,
                          funds,
                          limits,
                          deadline
                      );
                      vault.fastTransferFromAccount(feeTransfer, msg.sender);
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              /// @title Gnosis Protocol v2 Authentication Interface
              /// @author Gnosis Developers
              interface GPv2Authentication {
                  /// @dev determines whether the provided address is an authenticated solver.
                  /// @param prospectiveSolver the address of prospective solver.
                  /// @return true when prospectiveSolver is an authenticated solver, otherwise false.
                  function isSolver(address prospectiveSolver) external view returns (bool);
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              library GPv2EIP1271 {
                  /// @dev Value returned by a call to `isValidSignature` if the signature
                  /// was verified successfully. The value is defined in EIP-1271 as:
                  /// bytes4(keccak256("isValidSignature(bytes32,bytes)"))
                  bytes4 internal constant MAGICVALUE = 0x1626ba7e;
              }
              /// @title EIP1271 Interface
              /// @dev Standardized interface for an implementation of smart contract
              /// signatures as described in EIP-1271. The code that follows is identical to
              /// the code in the standard with the exception of formatting and syntax
              /// changes to adapt the code to our Solidity version.
              interface EIP1271Verifier {
                  /// @dev Should return whether the signature provided is valid for the
                  /// provided data
                  /// @param _hash      Hash of the data to be signed
                  /// @param _signature Signature byte array associated with _data
                  ///
                  /// MUST return the bytes4 magic value 0x1626ba7e when function passes.
                  /// MUST NOT modify state (using STATICCALL for solc < 0.5, view modifier for
                  /// solc > 0.5)
                  /// MUST allow external calls
                  ///
                  function isValidSignature(bytes32 _hash, bytes memory _signature)
                      external
                      view
                      returns (bytes4 magicValue);
              }
              // SPDX-License-Identifier: MIT
              // Vendored from OpenZeppelin contracts with minor modifications:
              // - Modified Solidity version
              // - Formatted code
              // - Added `name`, `symbol` and `decimals` function declarations
              // <https://github.com/OpenZeppelin/openzeppelin-contracts/blob/v3.4.0/contracts/token/ERC20/IERC20.sol>
              pragma solidity ^0.7.6;
              /**
               * @dev Interface of the ERC20 standard as defined in the EIP.
               */
              interface 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 number of decimals the token uses.
                   */
                  function decimals() external view returns (uint8);
                  /**
                   * @dev Returns the amount of tokens in existence.
                   */
                  function totalSupply() external view returns (uint256);
                  /**
                   * @dev Returns the amount of tokens owned by `account`.
                   */
                  function balanceOf(address account) external view returns (uint256);
                  /**
                   * @dev Moves `amount` tokens from the caller's account to `recipient`.
                   *
                   * Returns a boolean value indicating whether the operation succeeded.
                   *
                   * Emits a {Transfer} event.
                   */
                  function transfer(address recipient, uint256 amount)
                      external
                      returns (bool);
                  /**
                   * @dev Returns the remaining number of tokens that `spender` will be
                   * allowed to spend on behalf of `owner` through {transferFrom}. This is
                   * zero by default.
                   *
                   * This value changes when {approve} or {transferFrom} are called.
                   */
                  function allowance(address owner, address spender)
                      external
                      view
                      returns (uint256);
                  /**
                   * @dev Sets `amount` as the allowance of `spender` over the caller's tokens.
                   *
                   * Returns a boolean value indicating whether the operation succeeded.
                   *
                   * IMPORTANT: Beware that changing an allowance with this method brings the risk
                   * that someone may use both the old and the new allowance by unfortunate
                   * transaction ordering. One possible solution to mitigate this race
                   * condition is to first reduce the spender's allowance to 0 and set the
                   * desired value afterwards:
                   * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
                   *
                   * Emits an {Approval} event.
                   */
                  function approve(address spender, uint256 amount) external returns (bool);
                  /**
                   * @dev Moves `amount` tokens from `sender` to `recipient` using the
                   * allowance mechanism. `amount` is then deducted from the caller's
                   * allowance.
                   *
                   * Returns a boolean value indicating whether the operation succeeded.
                   *
                   * Emits a {Transfer} event.
                   */
                  function transferFrom(
                      address sender,
                      address recipient,
                      uint256 amount
                  ) external returns (bool);
                  /**
                   * @dev Emitted when `value` tokens are moved from one account (`from`) to
                   * another (`to`).
                   *
                   * Note that `value` may be zero.
                   */
                  event Transfer(address indexed from, address indexed to, uint256 value);
                  /**
                   * @dev Emitted when the allowance of a `spender` for an `owner` is set by
                   * a call to {approve}. `value` is the new allowance.
                   */
                  event Approval(
                      address indexed owner,
                      address indexed spender,
                      uint256 value
                  );
              }
              // SPDX-License-Identifier: GPL-3.0-or-later
              // 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 ^0.7.6;
              pragma abicoder v2;
              import "./IERC20.sol";
              /**
               * @dev Minimal interface for the Vault core contract only containing methods
               * used by Gnosis Protocol V2. Original source:
               * <https://github.com/balancer-labs/balancer-core-v2/blob/v1.0.0/contracts/vault/interfaces/IVault.sol>
               */
              interface IVault {
                  // Internal Balance
                  //
                  // Users can deposit tokens into the Vault, where they are allocated to their Internal Balance, and later
                  // transferred or withdrawn. It can also be used as a source of tokens when joining Pools, as a destination
                  // when exiting them, and as either when performing swaps. This usage of Internal Balance results in greatly reduced
                  // gas costs when compared to relying on plain ERC20 transfers, leading to large savings for frequent users.
                  //
                  // Internal Balance management features batching, which means a single contract call can be used to perform multiple
                  // operations of different kinds, with different senders and recipients, at once.
                  /**
                   * @dev Performs a set of user balance operations, which involve Internal Balance (deposit, withdraw or transfer)
                   * and plain ERC20 transfers using the Vault's allowance. This last feature is particularly useful for relayers, as
                   * it lets integrators reuse a user's Vault allowance.
                   *
                   * For each operation, if the caller is not `sender`, it must be an authorized relayer for them.
                   */
                  function manageUserBalance(UserBalanceOp[] memory ops) external payable;
                  /**
                   * @dev Data for `manageUserBalance` operations, which include the possibility for ETH to be sent and received
                   without manual WETH wrapping or unwrapping.
                   */
                  struct UserBalanceOp {
                      UserBalanceOpKind kind;
                      IERC20 asset;
                      uint256 amount;
                      address sender;
                      address payable recipient;
                  }
                  // There are four possible operations in `manageUserBalance`:
                  //
                  // - DEPOSIT_INTERNAL
                  // Increases the Internal Balance of the `recipient` account by transferring tokens from the corresponding
                  // `sender`. The sender must have allowed the Vault to use their tokens via `IERC20.approve()`.
                  //
                  // ETH can be used by passing the ETH sentinel value as the asset and forwarding ETH in the call: it will be wrapped
                  // and deposited as WETH. Any ETH amount remaining will be sent back to the caller (not the sender, which is
                  // relevant for relayers).
                  //
                  // Emits an `InternalBalanceChanged` event.
                  //
                  //
                  // - WITHDRAW_INTERNAL
                  // Decreases the Internal Balance of the `sender` account by transferring tokens to the `recipient`.
                  //
                  // ETH can be used by passing the ETH sentinel value as the asset. This will deduct WETH instead, unwrap it and send
                  // it to the recipient as ETH.
                  //
                  // Emits an `InternalBalanceChanged` event.
                  //
                  //
                  // - TRANSFER_INTERNAL
                  // Transfers tokens from the Internal Balance of the `sender` account to the Internal Balance of `recipient`.
                  //
                  // Reverts if the ETH sentinel value is passed.
                  //
                  // Emits an `InternalBalanceChanged` event.
                  //
                  //
                  // - TRANSFER_EXTERNAL
                  // Transfers tokens from `sender` to `recipient`, using the Vault's ERC20 allowance. This is typically used by
                  // relayers, as it lets them reuse a user's Vault allowance.
                  //
                  // Reverts if the ETH sentinel value is passed.
                  //
                  // Emits an `ExternalBalanceTransfer` event.
                  enum UserBalanceOpKind {
                      DEPOSIT_INTERNAL,
                      WITHDRAW_INTERNAL,
                      TRANSFER_INTERNAL,
                      TRANSFER_EXTERNAL
                  }
                  // Swaps
                  //
                  // Users can swap tokens with Pools by calling the `swap` and `batchSwap` functions. To do this,
                  // they need not trust Pool contracts in any way: all security checks are made by the Vault. They must however be
                  // aware of the Pools' pricing algorithms in order to estimate the prices Pools will quote.
                  //
                  // The `swap` function executes a single swap, while `batchSwap` can perform multiple swaps in sequence.
                  // In each individual swap, tokens of one kind are sent from the sender to the Pool (this is the 'token in'),
                  // and tokens of another kind are sent from the Pool to the recipient in exchange (this is the 'token out').
                  // More complex swaps, such as one token in to multiple tokens out can be achieved by batching together
                  // individual swaps.
                  //
                  // There are two swap kinds:
                  //  - 'given in' swaps, where the amount of tokens in (sent to the Pool) is known, and the Pool determines (via the
                  // `onSwap` hook) the amount of tokens out (to send to the recipient).
                  //  - 'given out' swaps, where the amount of tokens out (received from the Pool) is known, and the Pool determines
                  // (via the `onSwap` hook) the amount of tokens in (to receive from the sender).
                  //
                  // Additionally, it is possible to chain swaps using a placeholder input amount, which the Vault replaces with
                  // the calculated output of the previous swap. If the previous swap was 'given in', this will be the calculated
                  // tokenOut amount. If the previous swap was 'given out', it will use the calculated tokenIn amount. These extended
                  // swaps are known as 'multihop' swaps, since they 'hop' through a number of intermediate tokens before arriving at
                  // the final intended token.
                  //
                  // In all cases, tokens are only transferred in and out of the Vault (or withdrawn from and deposited into Internal
                  // Balance) after all individual swaps have been completed, and the net token balance change computed. This makes
                  // certain swap patterns, such as multihops, or swaps that interact with the same token pair in multiple Pools, cost
                  // much less gas than they would otherwise.
                  //
                  // It also means that under certain conditions it is possible to perform arbitrage by swapping with multiple
                  // Pools in a way that results in net token movement out of the Vault (profit), with no tokens being sent in (only
                  // updating the Pool's internal accounting).
                  //
                  // To protect users from front-running or the market changing rapidly, they supply a list of 'limits' for each token
                  // involved in the swap, where either the maximum number of tokens to send (by passing a positive value) or the
                  // minimum amount of tokens to receive (by passing a negative value) is specified.
                  //
                  // Additionally, a 'deadline' timestamp can also be provided, forcing the swap to fail if it occurs after
                  // this point in time (e.g. if the transaction failed to be included in a block promptly).
                  //
                  // If interacting with Pools that hold WETH, it is possible to both send and receive ETH directly: the Vault will do
                  // the wrapping and unwrapping. To enable this mechanism, the IAsset sentinel value (the zero address) must be
                  // passed in the `assets` array instead of the WETH address. Note that it is possible to combine ETH and WETH in the
                  // same swap. Any excess ETH will be sent back to the caller (not the sender, which is relevant for relayers).
                  //
                  // Finally, Internal Balance can be used when either sending or receiving tokens.
                  enum SwapKind {GIVEN_IN, GIVEN_OUT}
                  /**
                   * @dev Performs a swap with a single Pool.
                   *
                   * If the swap is 'given in' (the number of tokens to send to the Pool is known), it returns the amount of tokens
                   * taken from the Pool, which must be greater than or equal to `limit`.
                   *
                   * If the swap is 'given out' (the number of tokens to take from the Pool is known), it returns the amount of tokens
                   * sent to the Pool, which must be less than or equal to `limit`.
                   *
                   * Internal Balance usage and the recipient are determined by the `funds` struct.
                   *
                   * Emits a `Swap` event.
                   */
                  function swap(
                      SingleSwap memory singleSwap,
                      FundManagement memory funds,
                      uint256 limit,
                      uint256 deadline
                  ) external payable returns (uint256);
                  /**
                   * @dev Data for a single swap executed by `swap`. `amount` is either `amountIn` or `amountOut` depending on
                   * the `kind` value.
                   *
                   * `assetIn` and `assetOut` are either token addresses, or the IAsset sentinel value for ETH (the zero address).
                   * Note that Pools never interact with ETH directly: it will be wrapped to or unwrapped from WETH by the Vault.
                   *
                   * The `userData` field is ignored by the Vault, but forwarded to the Pool in the `onSwap` hook, and may be
                   * used to extend swap behavior.
                   */
                  struct SingleSwap {
                      bytes32 poolId;
                      SwapKind kind;
                      IERC20 assetIn;
                      IERC20 assetOut;
                      uint256 amount;
                      bytes userData;
                  }
                  /**
                   * @dev Performs a series of swaps with one or multiple Pools. In each individual swap, the caller determines either
                   * the amount of tokens sent to or received from the Pool, depending on the `kind` value.
                   *
                   * Returns an array with the net Vault asset balance deltas. Positive amounts represent tokens (or ETH) sent to the
                   * Vault, and negative amounts represent tokens (or ETH) sent by the Vault. Each delta corresponds to the asset at
                   * the same index in the `assets` array.
                   *
                   * Swaps are executed sequentially, in the order specified by the `swaps` array. Each array element describes a
                   * Pool, the token to be sent to this Pool, the token to receive from it, and an amount that is either `amountIn` or
                   * `amountOut` depending on the swap kind.
                   *
                   * Multihop swaps can be executed by passing an `amount` value of zero for a swap. This will cause the amount in/out
                   * of the previous swap to be used as the amount in for the current one. In a 'given in' swap, 'tokenIn' must equal
                   * the previous swap's `tokenOut`. For a 'given out' swap, `tokenOut` must equal the previous swap's `tokenIn`.
                   *
                   * The `assets` array contains the addresses of all assets involved in the swaps. These are either token addresses,
                   * or the IAsset sentinel value for ETH (the zero address). Each entry in the `swaps` array specifies tokens in and
                   * out by referencing an index in `assets`. Note that Pools never interact with ETH directly: it will be wrapped to
                   * or unwrapped from WETH by the Vault.
                   *
                   * Internal Balance usage, sender, and recipient are determined by the `funds` struct. The `limits` array specifies
                   * the minimum or maximum amount of each token the vault is allowed to transfer.
                   *
                   * `batchSwap` can be used to make a single swap, like `swap` does, but doing so requires more gas than the
                   * equivalent `swap` call.
                   *
                   * Emits `Swap` events.
                   */
                  function batchSwap(
                      SwapKind kind,
                      BatchSwapStep[] memory swaps,
                      IERC20[] memory assets,
                      FundManagement memory funds,
                      int256[] memory limits,
                      uint256 deadline
                  ) external payable returns (int256[] memory);
                  /**
                   * @dev Data for each individual swap executed by `batchSwap`. The asset in and out fields are indexes into the
                   * `assets` array passed to that function, and ETH assets are converted to WETH.
                   *
                   * If `amount` is zero, the multihop mechanism is used to determine the actual amount based on the amount in/out
                   * from the previous swap, depending on the swap kind.
                   *
                   * The `userData` field is ignored by the Vault, but forwarded to the Pool in the `onSwap` hook, and may be
                   * used to extend swap behavior.
                   */
                  struct BatchSwapStep {
                      bytes32 poolId;
                      uint256 assetInIndex;
                      uint256 assetOutIndex;
                      uint256 amount;
                      bytes userData;
                  }
                  /**
                   * @dev All tokens in a swap are either sent from the `sender` account to the Vault, or from the Vault to the
                   * `recipient` account.
                   *
                   * If the caller is not `sender`, it must be an authorized relayer for them.
                   *
                   * If `fromInternalBalance` is true, the `sender`'s Internal Balance will be preferred, performing an ERC20
                   * transfer for the difference between the requested amount and the User's Internal Balance (if any). The `sender`
                   * must have allowed the Vault to use their tokens via `IERC20.approve()`. This matches the behavior of
                   * `joinPool`.
                   *
                   * If `toInternalBalance` is true, tokens will be deposited to `recipient`'s internal balance instead of
                   * transferred. This matches the behavior of `exitPool`.
                   *
                   * Note that ETH cannot be deposited to or withdrawn from Internal Balance: attempting to do so will trigger a
                   * revert.
                   */
                  struct FundManagement {
                      address sender;
                      bool fromInternalBalance;
                      address payable recipient;
                      bool toInternalBalance;
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              /// @title Gnosis Protocol v2 Interaction Library
              /// @author Gnosis Developers
              library GPv2Interaction {
                  /// @dev Interaction data for performing arbitrary contract interactions.
                  /// Submitted to [`GPv2Settlement.settle`] for code execution.
                  struct Data {
                      address target;
                      uint256 value;
                      bytes callData;
                  }
                  /// @dev Execute an arbitrary contract interaction.
                  ///
                  /// @param interaction Interaction data.
                  function execute(Data calldata interaction) internal {
                      address target = interaction.target;
                      uint256 value = interaction.value;
                      bytes calldata callData = interaction.callData;
                      // NOTE: Use assembly to call the interaction instead of a low level
                      // call for two reasons:
                      // - We don't want to copy the return data, since we discard it for
                      // interactions.
                      // - Solidity will under certain conditions generate code to copy input
                      // calldata twice to memory (the second being a "memcopy loop").
                      // <https://github.com/gnosis/gp-v2-contracts/pull/417#issuecomment-775091258>
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          let freeMemoryPointer := mload(0x40)
                          calldatacopy(freeMemoryPointer, callData.offset, callData.length)
                          if iszero(
                              call(
                                  gas(),
                                  target,
                                  value,
                                  freeMemoryPointer,
                                  callData.length,
                                  0,
                                  0
                              )
                          ) {
                              returndatacopy(0, 0, returndatasize())
                              revert(0, returndatasize())
                          }
                      }
                  }
                  /// @dev Extracts the Solidity ABI selector for the specified interaction.
                  ///
                  /// @param interaction Interaction data.
                  /// @return result The 4 byte function selector of the call encoded in
                  /// this interaction.
                  function selector(Data calldata interaction)
                      internal
                      pure
                      returns (bytes4 result)
                  {
                      bytes calldata callData = interaction.callData;
                      if (callData.length >= 4) {
                          // NOTE: Read the first word of the interaction's calldata. The
                          // value does not need to be shifted since `bytesN` values are left
                          // aligned, and the value does not need to be masked since masking
                          // occurs when the value is accessed and not stored:
                          // <https://docs.soliditylang.org/en/v0.7.6/abi-spec.html#encoding-of-indexed-event-parameters>
                          // <https://docs.soliditylang.org/en/v0.7.6/assembly.html#access-to-external-variables-functions-and-libraries>
                          // solhint-disable-next-line no-inline-assembly
                          assembly {
                              result := calldataload(callData.offset)
                          }
                      }
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              import "../interfaces/IERC20.sol";
              /// @title Gnosis Protocol v2 Order Library
              /// @author Gnosis Developers
              library GPv2Order {
                  /// @dev The complete data for a Gnosis Protocol order. This struct contains
                  /// all order parameters that are signed for submitting to GP.
                  struct Data {
                      IERC20 sellToken;
                      IERC20 buyToken;
                      address receiver;
                      uint256 sellAmount;
                      uint256 buyAmount;
                      uint32 validTo;
                      bytes32 appData;
                      uint256 feeAmount;
                      bytes32 kind;
                      bool partiallyFillable;
                      bytes32 sellTokenBalance;
                      bytes32 buyTokenBalance;
                  }
                  /// @dev The order EIP-712 type hash for the [`GPv2Order.Data`] struct.
                  ///
                  /// This value is pre-computed from the following expression:
                  /// ```
                  /// keccak256(
                  ///     "Order(" +
                  ///         "address sellToken," +
                  ///         "address buyToken," +
                  ///         "address receiver," +
                  ///         "uint256 sellAmount," +
                  ///         "uint256 buyAmount," +
                  ///         "uint32 validTo," +
                  ///         "bytes32 appData," +
                  ///         "uint256 feeAmount," +
                  ///         "string kind," +
                  ///         "bool partiallyFillable" +
                  ///         "string sellTokenBalance" +
                  ///         "string buyTokenBalance" +
                  ///     ")"
                  /// )
                  /// ```
                  bytes32 internal constant TYPE_HASH =
                      hex"d5a25ba2e97094ad7d83dc28a6572da797d6b3e7fc6663bd93efb789fc17e489";
                  /// @dev The marker value for a sell order for computing the order struct
                  /// hash. This allows the EIP-712 compatible wallets to display a
                  /// descriptive string for the order kind (instead of 0 or 1).
                  ///
                  /// This value is pre-computed from the following expression:
                  /// ```
                  /// keccak256("sell")
                  /// ```
                  bytes32 internal constant KIND_SELL =
                      hex"f3b277728b3fee749481eb3e0b3b48980dbbab78658fc419025cb16eee346775";
                  /// @dev The OrderKind marker value for a buy order for computing the order
                  /// struct hash.
                  ///
                  /// This value is pre-computed from the following expression:
                  /// ```
                  /// keccak256("buy")
                  /// ```
                  bytes32 internal constant KIND_BUY =
                      hex"6ed88e868af0a1983e3886d5f3e95a2fafbd6c3450bc229e27342283dc429ccc";
                  /// @dev The TokenBalance marker value for using direct ERC20 balances for
                  /// computing the order struct hash.
                  ///
                  /// This value is pre-computed from the following expression:
                  /// ```
                  /// keccak256("erc20")
                  /// ```
                  bytes32 internal constant BALANCE_ERC20 =
                      hex"5a28e9363bb942b639270062aa6bb295f434bcdfc42c97267bf003f272060dc9";
                  /// @dev The TokenBalance marker value for using Balancer Vault external
                  /// balances (in order to re-use Vault ERC20 approvals) for computing the
                  /// order struct hash.
                  ///
                  /// This value is pre-computed from the following expression:
                  /// ```
                  /// keccak256("external")
                  /// ```
                  bytes32 internal constant BALANCE_EXTERNAL =
                      hex"abee3b73373acd583a130924aad6dc38cfdc44ba0555ba94ce2ff63980ea0632";
                  /// @dev The TokenBalance marker value for using Balancer Vault internal
                  /// balances for computing the order struct hash.
                  ///
                  /// This value is pre-computed from the following expression:
                  /// ```
                  /// keccak256("internal")
                  /// ```
                  bytes32 internal constant BALANCE_INTERNAL =
                      hex"4ac99ace14ee0a5ef932dc609df0943ab7ac16b7583634612f8dc35a4289a6ce";
                  /// @dev Marker address used to indicate that the receiver of the trade
                  /// proceeds should the owner of the order.
                  ///
                  /// This is chosen to be `address(0)` for gas efficiency as it is expected
                  /// to be the most common case.
                  address internal constant RECEIVER_SAME_AS_OWNER = address(0);
                  /// @dev The byte length of an order unique identifier.
                  uint256 internal constant UID_LENGTH = 56;
                  /// @dev Returns the actual receiver for an order. This function checks
                  /// whether or not the [`receiver`] field uses the marker value to indicate
                  /// it is the same as the order owner.
                  ///
                  /// @return receiver The actual receiver of trade proceeds.
                  function actualReceiver(Data memory order, address owner)
                      internal
                      pure
                      returns (address receiver)
                  {
                      if (order.receiver == RECEIVER_SAME_AS_OWNER) {
                          receiver = owner;
                      } else {
                          receiver = order.receiver;
                      }
                  }
                  /// @dev Return the EIP-712 signing hash for the specified order.
                  ///
                  /// @param order The order to compute the EIP-712 signing hash for.
                  /// @param domainSeparator The EIP-712 domain separator to use.
                  /// @return orderDigest The 32 byte EIP-712 struct hash.
                  function hash(Data memory order, bytes32 domainSeparator)
                      internal
                      pure
                      returns (bytes32 orderDigest)
                  {
                      bytes32 structHash;
                      // NOTE: Compute the EIP-712 order struct hash in place. As suggested
                      // in the EIP proposal, noting that the order struct has 10 fields, and
                      // including the type hash `(12 + 1) * 32 = 416` bytes to hash.
                      // <https://github.com/ethereum/EIPs/blob/master/EIPS/eip-712.md#rationale-for-encodedata>
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          let dataStart := sub(order, 32)
                          let temp := mload(dataStart)
                          mstore(dataStart, TYPE_HASH)
                          structHash := keccak256(dataStart, 416)
                          mstore(dataStart, temp)
                      }
                      // NOTE: Now that we have the struct hash, compute the EIP-712 signing
                      // hash using scratch memory past the free memory pointer. The signing
                      // hash is computed from `"\\x19\\x01" || domainSeparator || structHash`.
                      // <https://docs.soliditylang.org/en/v0.7.6/internals/layout_in_memory.html#layout-in-memory>
                      // <https://github.com/ethereum/EIPs/blob/master/EIPS/eip-712.md#specification>
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          let freeMemoryPointer := mload(0x40)
                          mstore(freeMemoryPointer, "\\x19\\x01")
                          mstore(add(freeMemoryPointer, 2), domainSeparator)
                          mstore(add(freeMemoryPointer, 34), structHash)
                          orderDigest := keccak256(freeMemoryPointer, 66)
                      }
                  }
                  /// @dev Packs order UID parameters into the specified memory location. The
                  /// result is equivalent to `abi.encodePacked(...)` with the difference that
                  /// it allows re-using the memory for packing the order UID.
                  ///
                  /// This function reverts if the order UID buffer is not the correct size.
                  ///
                  /// @param orderUid The buffer pack the order UID parameters into.
                  /// @param orderDigest The EIP-712 struct digest derived from the order
                  /// parameters.
                  /// @param owner The address of the user who owns this order.
                  /// @param validTo The epoch time at which the order will stop being valid.
                  function packOrderUidParams(
                      bytes memory orderUid,
                      bytes32 orderDigest,
                      address owner,
                      uint32 validTo
                  ) internal pure {
                      require(orderUid.length == UID_LENGTH, "GPv2: uid buffer overflow");
                      // NOTE: Write the order UID to the allocated memory buffer. The order
                      // parameters are written to memory in **reverse order** as memory
                      // operations write 32-bytes at a time and we want to use a packed
                      // encoding. This means, for example, that after writing the value of
                      // `owner` to bytes `20:52`, writing the `orderDigest` to bytes `0:32`
                      // will **overwrite** bytes `20:32`. This is desirable as addresses are
                      // only 20 bytes and `20:32` should be `0`s:
                      //
                      //        |           1111111111222222222233333333334444444444555555
                      //   byte | 01234567890123456789012345678901234567890123456789012345
                      // -------+---------------------------------------------------------
                      //  field | [.........orderDigest..........][......owner.......][vT]
                      // -------+---------------------------------------------------------
                      // mstore |                         [000000000000000000000000000.vT]
                      //        |                     [00000000000.......owner.......]
                      //        | [.........orderDigest..........]
                      //
                      // Additionally, since Solidity `bytes memory` are length prefixed,
                      // 32 needs to be added to all the offsets.
                      //
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          mstore(add(orderUid, 56), validTo)
                          mstore(add(orderUid, 52), owner)
                          mstore(add(orderUid, 32), orderDigest)
                      }
                  }
                  /// @dev Extracts specific order information from the standardized unique
                  /// order id of the protocol.
                  ///
                  /// @param orderUid The unique identifier used to represent an order in
                  /// the protocol. This uid is the packed concatenation of the order digest,
                  /// the validTo order parameter and the address of the user who created the
                  /// order. It is used by the user to interface with the contract directly,
                  /// and not by calls that are triggered by the solvers.
                  /// @return orderDigest The EIP-712 signing digest derived from the order
                  /// parameters.
                  /// @return owner The address of the user who owns this order.
                  /// @return validTo The epoch time at which the order will stop being valid.
                  function extractOrderUidParams(bytes calldata orderUid)
                      internal
                      pure
                      returns (
                          bytes32 orderDigest,
                          address owner,
                          uint32 validTo
                      )
                  {
                      require(orderUid.length == UID_LENGTH, "GPv2: invalid uid");
                      // Use assembly to efficiently decode packed calldata.
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          orderDigest := calldataload(orderUid.offset)
                          owner := shr(96, calldataload(add(orderUid.offset, 32)))
                          validTo := shr(224, calldataload(add(orderUid.offset, 52)))
                      }
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              import "../interfaces/IERC20.sol";
              /// @title Gnosis Protocol v2 Safe ERC20 Transfer Library
              /// @author Gnosis Developers
              /// @dev Gas-efficient version of Openzeppelin's SafeERC20 contract that notably
              /// does not revert when calling a non-contract.
              library GPv2SafeERC20 {
                  /// @dev Wrapper around a call to the ERC20 function `transfer` that reverts
                  /// also when the token returns `false`.
                  function safeTransfer(
                      IERC20 token,
                      address to,
                      uint256 value
                  ) internal {
                      bytes4 selector_ = token.transfer.selector;
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          let freeMemoryPointer := mload(0x40)
                          mstore(freeMemoryPointer, selector_)
                          mstore(
                              add(freeMemoryPointer, 4),
                              and(to, 0xffffffffffffffffffffffffffffffffffffffff)
                          )
                          mstore(add(freeMemoryPointer, 36), value)
                          if iszero(call(gas(), token, 0, freeMemoryPointer, 68, 0, 0)) {
                              returndatacopy(0, 0, returndatasize())
                              revert(0, returndatasize())
                          }
                      }
                      require(getLastTansferResult(token), "GPv2: failed transfer");
                  }
                  /// @dev Wrapper around a call to the ERC20 function `transferFrom` that
                  /// reverts also when the token returns `false`.
                  function safeTransferFrom(
                      IERC20 token,
                      address from,
                      address to,
                      uint256 value
                  ) internal {
                      bytes4 selector_ = token.transferFrom.selector;
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          let freeMemoryPointer := mload(0x40)
                          mstore(freeMemoryPointer, selector_)
                          mstore(
                              add(freeMemoryPointer, 4),
                              and(from, 0xffffffffffffffffffffffffffffffffffffffff)
                          )
                          mstore(
                              add(freeMemoryPointer, 36),
                              and(to, 0xffffffffffffffffffffffffffffffffffffffff)
                          )
                          mstore(add(freeMemoryPointer, 68), value)
                          if iszero(call(gas(), token, 0, freeMemoryPointer, 100, 0, 0)) {
                              returndatacopy(0, 0, returndatasize())
                              revert(0, returndatasize())
                          }
                      }
                      require(getLastTansferResult(token), "GPv2: failed transferFrom");
                  }
                  /// @dev Verifies that the last return was a successful `transfer*` call.
                  /// This is done by checking that the return data is either empty, or
                  /// is a valid ABI encoded boolean.
                  function getLastTansferResult(IERC20 token)
                      private
                      view
                      returns (bool success)
                  {
                      // NOTE: Inspecting previous return data requires assembly. Note that
                      // we write the return data to memory 0 in the case where the return
                      // data size is 32, this is OK since the first 64 bytes of memory are
                      // reserved by Solidy as a scratch space that can be used within
                      // assembly blocks.
                      // <https://docs.soliditylang.org/en/v0.7.6/internals/layout_in_memory.html>
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          /// @dev Revert with an ABI encoded Solidity error with a message
                          /// that fits into 32-bytes.
                          ///
                          /// An ABI encoded Solidity error has the following memory layout:
                          ///
                          /// ------------+----------------------------------
                          ///  byte range | value
                          /// ------------+----------------------------------
                          ///  0x00..0x04 |        selector("Error(string)")
                          ///  0x04..0x24 |      string offset (always 0x20)
                          ///  0x24..0x44 |                    string length
                          ///  0x44..0x64 | string value, padded to 32-bytes
                          function revertWithMessage(length, message) {
                              mstore(0x00, "\\x08\\xc3\\x79\\xa0")
                              mstore(0x04, 0x20)
                              mstore(0x24, length)
                              mstore(0x44, message)
                              revert(0x00, 0x64)
                          }
                          switch returndatasize()
                              // Non-standard ERC20 transfer without return.
                              case 0 {
                                  // NOTE: When the return data size is 0, verify that there
                                  // is code at the address. This is done in order to maintain
                                  // compatibility with Solidity calling conventions.
                                  // <https://docs.soliditylang.org/en/v0.7.6/control-structures.html#external-function-calls>
                                  if iszero(extcodesize(token)) {
                                      revertWithMessage(20, "GPv2: not a contract")
                                  }
                                  success := 1
                              }
                              // Standard ERC20 transfer returning boolean success value.
                              case 32 {
                                  returndatacopy(0, 0, returndatasize())
                                  // NOTE: For ABI encoding v1, any non-zero value is accepted
                                  // as `true` for a boolean. In order to stay compatible with
                                  // OpenZeppelin's `SafeERC20` library which is known to work
                                  // with the existing ERC20 implementation we care about,
                                  // make sure we return success for any non-zero return value
                                  // from the `transfer*` call.
                                  success := iszero(iszero(mload(0)))
                              }
                              default {
                                  revertWithMessage(31, "GPv2: malformed transfer result")
                              }
                      }
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              import "../interfaces/IERC20.sol";
              import "../mixins/GPv2Signing.sol";
              import "./GPv2Order.sol";
              /// @title Gnosis Protocol v2 Trade Library.
              /// @author Gnosis Developers
              library GPv2Trade {
                  using GPv2Order for GPv2Order.Data;
                  using GPv2Order for bytes;
                  /// @dev A struct representing a trade to be executed as part a batch
                  /// settlement.
                  struct Data {
                      uint256 sellTokenIndex;
                      uint256 buyTokenIndex;
                      address receiver;
                      uint256 sellAmount;
                      uint256 buyAmount;
                      uint32 validTo;
                      bytes32 appData;
                      uint256 feeAmount;
                      uint256 flags;
                      uint256 executedAmount;
                      bytes signature;
                  }
                  /// @dev Extracts the order data and signing scheme for the specified trade.
                  ///
                  /// @param trade The trade.
                  /// @param tokens The list of tokens included in the settlement. The token
                  /// indices in the trade parameters map to tokens in this array.
                  /// @param order The memory location to extract the order data to.
                  function extractOrder(
                      Data calldata trade,
                      IERC20[] calldata tokens,
                      GPv2Order.Data memory order
                  ) internal pure returns (GPv2Signing.Scheme signingScheme) {
                      order.sellToken = tokens[trade.sellTokenIndex];
                      order.buyToken = tokens[trade.buyTokenIndex];
                      order.receiver = trade.receiver;
                      order.sellAmount = trade.sellAmount;
                      order.buyAmount = trade.buyAmount;
                      order.validTo = trade.validTo;
                      order.appData = trade.appData;
                      order.feeAmount = trade.feeAmount;
                      (
                          order.kind,
                          order.partiallyFillable,
                          order.sellTokenBalance,
                          order.buyTokenBalance,
                          signingScheme
                      ) = extractFlags(trade.flags);
                  }
                  /// @dev Decodes trade flags.
                  ///
                  /// Trade flags are used to tightly encode information on how to decode
                  /// an order. Examples that directly affect the structure of an order are
                  /// the kind of order (either a sell or a buy order) as well as whether the
                  /// order is partially fillable or if it is a "fill-or-kill" order. It also
                  /// encodes the signature scheme used to validate the order. As the most
                  /// likely values are fill-or-kill sell orders by an externally owned
                  /// account, the flags are chosen such that `0x00` represents this kind of
                  /// order. The flags byte uses the following format:
                  ///
                  /// ```
                  /// bit | 31 ...   | 6 | 5 | 4 | 3 | 2 | 1 | 0 |
                  /// ----+----------+---+---+-------+---+---+
                  ///     | reserved | *   * | * | *   * | * | * |
                  ///                  |   |   |   |   |   |   |
                  ///                  |   |   |   |   |   |   +---- order kind bit, 0 for a sell order
                  ///                  |   |   |   |   |   |         and 1 for a buy order
                  ///                  |   |   |   |   |   |
                  ///                  |   |   |   |   |   +-------- order fill bit, 0 for fill-or-kill
                  ///                  |   |   |   |   |             and 1 for a partially fillable order
                  ///                  |   |   |   |   |
                  ///                  |   |   |   +---+------------ use internal sell token balance bit:
                  ///                  |   |   |                     0x: ERC20 token balance
                  ///                  |   |   |                     10: external Balancer Vault balance
                  ///                  |   |   |                     11: internal Balancer Vault balance
                  ///                  |   |   |
                  ///                  |   |   +-------------------- use buy token balance bit
                  ///                  |   |                         0: ERC20 token balance
                  ///                  |   |                         1: internal Balancer Vault balance
                  ///                  |   |
                  ///                  +---+------------------------ signature scheme bits:
                  ///                                                00: EIP-712
                  ///                                                01: eth_sign
                  ///                                                10: EIP-1271
                  ///                                                11: pre_sign
                  /// ```
                  function extractFlags(uint256 flags)
                      internal
                      pure
                      returns (
                          bytes32 kind,
                          bool partiallyFillable,
                          bytes32 sellTokenBalance,
                          bytes32 buyTokenBalance,
                          GPv2Signing.Scheme signingScheme
                      )
                  {
                      if (flags & 0x01 == 0) {
                          kind = GPv2Order.KIND_SELL;
                      } else {
                          kind = GPv2Order.KIND_BUY;
                      }
                      partiallyFillable = flags & 0x02 != 0;
                      if (flags & 0x08 == 0) {
                          sellTokenBalance = GPv2Order.BALANCE_ERC20;
                      } else if (flags & 0x04 == 0) {
                          sellTokenBalance = GPv2Order.BALANCE_EXTERNAL;
                      } else {
                          sellTokenBalance = GPv2Order.BALANCE_INTERNAL;
                      }
                      if (flags & 0x10 == 0) {
                          buyTokenBalance = GPv2Order.BALANCE_ERC20;
                      } else {
                          buyTokenBalance = GPv2Order.BALANCE_INTERNAL;
                      }
                      // NOTE: Take advantage of the fact that Solidity will revert if the
                      // following expression does not produce a valid enum value. This means
                      // we check here that the leading reserved bits must be 0.
                      signingScheme = GPv2Signing.Scheme(flags >> 5);
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              pragma abicoder v2;
              import "../interfaces/IERC20.sol";
              import "../interfaces/IVault.sol";
              import "./GPv2Order.sol";
              import "./GPv2SafeERC20.sol";
              /// @title Gnosis Protocol v2 Transfers
              /// @author Gnosis Developers
              library GPv2Transfer {
                  using GPv2SafeERC20 for IERC20;
                  /// @dev Transfer data.
                  struct Data {
                      address account;
                      IERC20 token;
                      uint256 amount;
                      bytes32 balance;
                  }
                  /// @dev Ether marker address used to indicate an Ether transfer.
                  address internal constant BUY_ETH_ADDRESS =
                      0xEeeeeEeeeEeEeeEeEeEeeEEEeeeeEeeeeeeeEEeE;
                  /// @dev Execute the specified transfer from the specified account to a
                  /// recipient. The recipient will either receive internal Vault balances or
                  /// ERC20 token balances depending on whether the account is using internal
                  /// balances or not.
                  ///
                  /// This method is used for transferring fees to the settlement contract
                  /// when settling a single order directly with Balancer.
                  ///
                  /// Note that this method is subtly different from `transferFromAccounts`
                  /// with a single transfer with respect to how it deals with internal
                  /// balances. Specifically, this method will perform an **internal balance
                  /// transfer to the settlement contract instead of a withdrawal to the
                  /// external balance of the settlement contract** for trades that specify
                  /// trading with internal balances. This is done as a gas optimization in
                  /// the single order "fast-path".
                  ///
                  /// @param vault The Balancer vault to use.
                  /// @param transfer The transfer to perform specifying the sender account.
                  /// @param recipient The recipient for the transfer.
                  function fastTransferFromAccount(
                      IVault vault,
                      Data calldata transfer,
                      address recipient
                  ) internal {
                      require(
                          address(transfer.token) != BUY_ETH_ADDRESS,
                          "GPv2: cannot transfer native ETH"
                      );
                      if (transfer.balance == GPv2Order.BALANCE_ERC20) {
                          transfer.token.safeTransferFrom(
                              transfer.account,
                              recipient,
                              transfer.amount
                          );
                      } else {
                          IVault.UserBalanceOp[] memory balanceOps =
                              new IVault.UserBalanceOp[](1);
                          IVault.UserBalanceOp memory balanceOp = balanceOps[0];
                          balanceOp.kind = transfer.balance == GPv2Order.BALANCE_EXTERNAL
                              ? IVault.UserBalanceOpKind.TRANSFER_EXTERNAL
                              : IVault.UserBalanceOpKind.TRANSFER_INTERNAL;
                          balanceOp.asset = transfer.token;
                          balanceOp.amount = transfer.amount;
                          balanceOp.sender = transfer.account;
                          balanceOp.recipient = payable(recipient);
                          vault.manageUserBalance(balanceOps);
                      }
                  }
                  /// @dev Execute the specified transfers from the specified accounts to a
                  /// single recipient. The recipient will receive all transfers as ERC20
                  /// token balances, regardless of whether or not the accounts are using
                  /// internal Vault balances.
                  ///
                  /// This method is used for accumulating user balances into the settlement
                  /// contract.
                  ///
                  /// @param vault The Balancer vault to use.
                  /// @param transfers The batched transfers to perform specifying the
                  /// sender accounts.
                  /// @param recipient The single recipient for all the transfers.
                  function transferFromAccounts(
                      IVault vault,
                      Data[] calldata transfers,
                      address recipient
                  ) internal {
                      // NOTE: Allocate buffer of Vault balance operations large enough to
                      // hold all GP transfers. This is done to avoid re-allocations (which
                      // are gas inefficient) while still allowing all transfers to be batched
                      // into a single Vault call.
                      IVault.UserBalanceOp[] memory balanceOps =
                          new IVault.UserBalanceOp[](transfers.length);
                      uint256 balanceOpCount = 0;
                      for (uint256 i = 0; i < transfers.length; i++) {
                          Data calldata transfer = transfers[i];
                          require(
                              address(transfer.token) != BUY_ETH_ADDRESS,
                              "GPv2: cannot transfer native ETH"
                          );
                          if (transfer.balance == GPv2Order.BALANCE_ERC20) {
                              transfer.token.safeTransferFrom(
                                  transfer.account,
                                  recipient,
                                  transfer.amount
                              );
                          } else {
                              IVault.UserBalanceOp memory balanceOp =
                                  balanceOps[balanceOpCount++];
                              balanceOp.kind = transfer.balance == GPv2Order.BALANCE_EXTERNAL
                                  ? IVault.UserBalanceOpKind.TRANSFER_EXTERNAL
                                  : IVault.UserBalanceOpKind.WITHDRAW_INTERNAL;
                              balanceOp.asset = transfer.token;
                              balanceOp.amount = transfer.amount;
                              balanceOp.sender = transfer.account;
                              balanceOp.recipient = payable(recipient);
                          }
                      }
                      if (balanceOpCount > 0) {
                          truncateBalanceOpsArray(balanceOps, balanceOpCount);
                          vault.manageUserBalance(balanceOps);
                      }
                  }
                  /// @dev Execute the specified transfers to their respective accounts.
                  ///
                  /// This method is used for paying out trade proceeds from the settlement
                  /// contract.
                  ///
                  /// @param vault The Balancer vault to use.
                  /// @param transfers The batched transfers to perform.
                  function transferToAccounts(IVault vault, Data[] memory transfers)
                      internal
                  {
                      IVault.UserBalanceOp[] memory balanceOps =
                          new IVault.UserBalanceOp[](transfers.length);
                      uint256 balanceOpCount = 0;
                      for (uint256 i = 0; i < transfers.length; i++) {
                          Data memory transfer = transfers[i];
                          if (address(transfer.token) == BUY_ETH_ADDRESS) {
                              require(
                                  transfer.balance != GPv2Order.BALANCE_INTERNAL,
                                  "GPv2: unsupported internal ETH"
                              );
                              payable(transfer.account).transfer(transfer.amount);
                          } else if (transfer.balance == GPv2Order.BALANCE_ERC20) {
                              transfer.token.safeTransfer(transfer.account, transfer.amount);
                          } else {
                              IVault.UserBalanceOp memory balanceOp =
                                  balanceOps[balanceOpCount++];
                              balanceOp.kind = IVault.UserBalanceOpKind.DEPOSIT_INTERNAL;
                              balanceOp.asset = transfer.token;
                              balanceOp.amount = transfer.amount;
                              balanceOp.sender = address(this);
                              balanceOp.recipient = payable(transfer.account);
                          }
                      }
                      if (balanceOpCount > 0) {
                          truncateBalanceOpsArray(balanceOps, balanceOpCount);
                          vault.manageUserBalance(balanceOps);
                      }
                  }
                  /// @dev Truncate a Vault balance operation array to its actual size.
                  ///
                  /// This method **does not** check whether or not the new length is valid,
                  /// and specifying a size that is larger than the array's actual length is
                  /// undefined behaviour.
                  ///
                  /// @param balanceOps The memory array of balance operations to truncate.
                  /// @param newLength The new length to set.
                  function truncateBalanceOpsArray(
                      IVault.UserBalanceOp[] memory balanceOps,
                      uint256 newLength
                  ) private pure {
                      // NOTE: Truncate the vault transfers array to the specified length.
                      // This is done by setting the array's length which occupies the first
                      // word in memory pointed to by the `balanceOps` memory variable.
                      // <https://docs.soliditylang.org/en/v0.7.6/internals/layout_in_memory.html>
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          mstore(balanceOps, newLength)
                      }
                  }
              }
              // SPDX-License-Identifier: MIT
              // Vendored from OpenZeppelin contracts with minor modifications:
              // - Modified Solidity version
              // - Formatted code
              // - Shortened revert messages
              // - Removed unused methods
              // - Convert to `type(*).*` notation
              // <https://github.com/OpenZeppelin/openzeppelin-contracts/blob/v3.4.0/contracts/utils/SafeCast.sol>
              pragma solidity ^0.7.6;
              /**
               * @dev Wrappers over Solidity's uintXX/intXX casting operators with added overflow
               * checks.
               *
               * Downcasting from uint256/int256 in Solidity does not revert on overflow. This can
               * easily result in undesired exploitation or bugs, since developers usually
               * assume that overflows raise errors. `SafeCast` restores this intuition by
               * reverting the transaction when such an operation overflows.
               *
               * Using this library instead of the unchecked operations eliminates an entire
               * class of bugs, so it's recommended to use it always.
               *
               * Can be combined with {SafeMath} and {SignedSafeMath} to extend it to smaller types, by performing
               * all math on `uint256` and `int256` and then downcasting.
               */
              library SafeCast {
                  /**
                   * @dev Converts a signed int256 into an unsigned uint256.
                   *
                   * Requirements:
                   *
                   * - input must be greater than or equal to 0.
                   */
                  function toUint256(int256 value) internal pure returns (uint256) {
                      require(value >= 0, "SafeCast: not positive");
                      return uint256(value);
                  }
                  /**
                   * @dev Converts an unsigned uint256 into a signed int256.
                   *
                   * Requirements:
                   *
                   * - input must be less than or equal to maxInt256.
                   */
                  function toInt256(uint256 value) internal pure returns (int256) {
                      require(
                          value <= uint256(type(int256).max),
                          "SafeCast: int256 overflow"
                      );
                      return int256(value);
                  }
              }
              // SPDX-License-Identifier: MIT
              // Vendored from OpenZeppelin contracts with minor modifications:
              // - Modified Solidity version
              // - Formatted code
              // - Shortened some revert messages
              // - Removed unused methods
              // - Added `ceilDiv` method
              // <https://github.com/OpenZeppelin/openzeppelin-contracts/blob/v3.4.0/contracts/math/SafeMath.sol>
              pragma solidity ^0.7.6;
              /**
               * @dev Wrappers over Solidity's arithmetic operations with added overflow
               * checks.
               *
               * Arithmetic operations in Solidity wrap on overflow. This can easily result
               * in bugs, because programmers usually assume that an overflow raises an
               * error, which is the standard behavior in high level programming languages.
               * `SafeMath` restores this intuition by reverting the transaction when an
               * operation overflows.
               *
               * Using this library instead of the unchecked operations eliminates an entire
               * class of bugs, so it's recommended to use it always.
               */
              library SafeMath {
                  /**
                   * @dev Returns the addition of two unsigned integers, reverting on
                   * overflow.
                   *
                   * Counterpart to Solidity's `+` operator.
                   *
                   * Requirements:
                   *
                   * - Addition cannot overflow.
                   */
                  function add(uint256 a, uint256 b) internal pure returns (uint256) {
                      uint256 c = a + b;
                      require(c >= a, "SafeMath: addition overflow");
                      return c;
                  }
                  /**
                   * @dev Returns the subtraction of two unsigned integers, reverting on
                   * overflow (when the result is negative).
                   *
                   * Counterpart to Solidity's `-` operator.
                   *
                   * Requirements:
                   *
                   * - Subtraction cannot overflow.
                   */
                  function sub(uint256 a, uint256 b) internal pure returns (uint256) {
                      require(b <= a, "SafeMath: subtraction overflow");
                      return a - b;
                  }
                  /**
                   * @dev Returns the multiplication of two unsigned integers, reverting on
                   * overflow.
                   *
                   * Counterpart to Solidity's `*` operator.
                   *
                   * Requirements:
                   *
                   * - Multiplication cannot overflow.
                   */
                  function mul(uint256 a, uint256 b) internal pure returns (uint256) {
                      if (a == 0) return 0;
                      uint256 c = a * b;
                      require(c / a == b, "SafeMath: mul overflow");
                      return c;
                  }
                  /**
                   * @dev Returns the integer division of two unsigned integers, reverting on
                   * division by zero. The result is rounded towards zero.
                   *
                   * Counterpart to Solidity's `/` operator. Note: this function uses a
                   * `revert` opcode (which leaves remaining gas untouched) while Solidity
                   * uses an invalid opcode to revert (consuming all remaining gas).
                   *
                   * Requirements:
                   *
                   * - The divisor cannot be zero.
                   */
                  function div(uint256 a, uint256 b) internal pure returns (uint256) {
                      require(b > 0, "SafeMath: division by 0");
                      return a / b;
                  }
                  /**
                   * @dev Returns the ceiling integer division of two unsigned integers,
                   * reverting on division by zero. The result is rounded towards up the
                   * nearest integer, instead of truncating the fractional part.
                   *
                   * Requirements:
                   *
                   * - The divisor cannot be zero.
                   * - The sum of the dividend and divisor cannot overflow.
                   */
                  function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) {
                      require(b > 0, "SafeMath: ceiling division by 0");
                      return a / b + (a % b == 0 ? 0 : 1);
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              import "../interfaces/GPv2EIP1271.sol";
              import "../libraries/GPv2Order.sol";
              import "../libraries/GPv2Trade.sol";
              /// @title Gnosis Protocol v2 Signing Library.
              /// @author Gnosis Developers
              abstract contract GPv2Signing {
                  using GPv2Order for GPv2Order.Data;
                  using GPv2Order for bytes;
                  /// @dev Recovered trade data containing the extracted order and the
                  /// recovered owner address.
                  struct RecoveredOrder {
                      GPv2Order.Data data;
                      bytes uid;
                      address owner;
                      address receiver;
                  }
                  /// @dev Signing scheme used for recovery.
                  enum Scheme {Eip712, EthSign, Eip1271, PreSign}
                  /// @dev The EIP-712 domain type hash used for computing the domain
                  /// separator.
                  bytes32 private constant DOMAIN_TYPE_HASH =
                      keccak256(
                          "EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)"
                      );
                  /// @dev The EIP-712 domain name used for computing the domain separator.
                  bytes32 private constant DOMAIN_NAME = keccak256("Gnosis Protocol");
                  /// @dev The EIP-712 domain version used for computing the domain separator.
                  bytes32 private constant DOMAIN_VERSION = keccak256("v2");
                  /// @dev Marker value indicating an order is pre-signed.
                  uint256 private constant PRE_SIGNED =
                      uint256(keccak256("GPv2Signing.Scheme.PreSign"));
                  /// @dev The domain separator used for signing orders that gets mixed in
                  /// making signatures for different domains incompatible. This domain
                  /// separator is computed following the EIP-712 standard and has replay
                  /// protection mixed in so that signed orders are only valid for specific
                  /// GPv2 contracts.
                  bytes32 public immutable domainSeparator;
                  /// @dev Storage indicating whether or not an order has been signed by a
                  /// particular address.
                  mapping(bytes => uint256) public preSignature;
                  /// @dev Event that is emitted when an account either pre-signs an order or
                  /// revokes an existing pre-signature.
                  event PreSignature(address indexed owner, bytes orderUid, bool signed);
                  constructor() {
                      // NOTE: Currently, the only way to get the chain ID in solidity is
                      // using assembly.
                      uint256 chainId;
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          chainId := chainid()
                      }
                      domainSeparator = keccak256(
                          abi.encode(
                              DOMAIN_TYPE_HASH,
                              DOMAIN_NAME,
                              DOMAIN_VERSION,
                              chainId,
                              address(this)
                          )
                      );
                  }
                  /// @dev Sets a presignature for the specified order UID.
                  ///
                  /// @param orderUid The unique identifier of the order to pre-sign.
                  function setPreSignature(bytes calldata orderUid, bool signed) external {
                      (, address owner, ) = orderUid.extractOrderUidParams();
                      require(owner == msg.sender, "GPv2: cannot presign order");
                      if (signed) {
                          preSignature[orderUid] = PRE_SIGNED;
                      } else {
                          preSignature[orderUid] = 0;
                      }
                      emit PreSignature(owner, orderUid, signed);
                  }
                  /// @dev Returns an empty recovered order with a pre-allocated buffer for
                  /// packing the unique identifier.
                  ///
                  /// @return recoveredOrder The empty recovered order data.
                  function allocateRecoveredOrder()
                      internal
                      pure
                      returns (RecoveredOrder memory recoveredOrder)
                  {
                      recoveredOrder.uid = new bytes(GPv2Order.UID_LENGTH);
                  }
                  /// @dev Extracts order data and recovers the signer from the specified
                  /// trade.
                  ///
                  /// @param recoveredOrder Memory location used for writing the recovered order data.
                  /// @param tokens The list of tokens included in the settlement. The token
                  /// indices in the trade parameters map to tokens in this array.
                  /// @param trade The trade data to recover the order data from.
                  function recoverOrderFromTrade(
                      RecoveredOrder memory recoveredOrder,
                      IERC20[] calldata tokens,
                      GPv2Trade.Data calldata trade
                  ) internal view {
                      GPv2Order.Data memory order = recoveredOrder.data;
                      Scheme signingScheme = GPv2Trade.extractOrder(trade, tokens, order);
                      (bytes32 orderDigest, address owner) =
                          recoverOrderSigner(order, signingScheme, trade.signature);
                      recoveredOrder.uid.packOrderUidParams(
                          orderDigest,
                          owner,
                          order.validTo
                      );
                      recoveredOrder.owner = owner;
                      recoveredOrder.receiver = order.actualReceiver(owner);
                  }
                  /// @dev The length of any signature from an externally owned account.
                  uint256 private constant ECDSA_SIGNATURE_LENGTH = 65;
                  /// @dev Recovers an order's signer from the specified order and signature.
                  ///
                  /// @param order The order to recover a signature for.
                  /// @param signingScheme The signing scheme.
                  /// @param signature The signature bytes.
                  /// @return orderDigest The computed order hash.
                  /// @return owner The recovered address from the specified signature.
                  function recoverOrderSigner(
                      GPv2Order.Data memory order,
                      Scheme signingScheme,
                      bytes calldata signature
                  ) internal view returns (bytes32 orderDigest, address owner) {
                      orderDigest = order.hash(domainSeparator);
                      if (signingScheme == Scheme.Eip712) {
                          owner = recoverEip712Signer(orderDigest, signature);
                      } else if (signingScheme == Scheme.EthSign) {
                          owner = recoverEthsignSigner(orderDigest, signature);
                      } else if (signingScheme == Scheme.Eip1271) {
                          owner = recoverEip1271Signer(orderDigest, signature);
                      } else {
                          // signingScheme == Scheme.PreSign
                          owner = recoverPreSigner(orderDigest, signature, order.validTo);
                      }
                  }
                  /// @dev Perform an ECDSA recover for the specified message and calldata
                  /// signature.
                  ///
                  /// The signature is encoded by tighyly packing the following struct:
                  /// ```
                  /// struct EncodedSignature {
                  ///     bytes32 r;
                  ///     bytes32 s;
                  ///     uint8 v;
                  /// }
                  /// ```
                  ///
                  /// @param message The signed message.
                  /// @param encodedSignature The encoded signature.
                  function ecdsaRecover(bytes32 message, bytes calldata encodedSignature)
                      internal
                      pure
                      returns (address signer)
                  {
                      require(
                          encodedSignature.length == ECDSA_SIGNATURE_LENGTH,
                          "GPv2: malformed ecdsa signature"
                      );
                      bytes32 r;
                      bytes32 s;
                      uint8 v;
                      // NOTE: Use assembly to efficiently decode signature data.
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          // r = uint256(encodedSignature[0:32])
                          r := calldataload(encodedSignature.offset)
                          // s = uint256(encodedSignature[32:64])
                          s := calldataload(add(encodedSignature.offset, 32))
                          // v = uint8(encodedSignature[64])
                          v := shr(248, calldataload(add(encodedSignature.offset, 64)))
                      }
                      signer = ecrecover(message, v, r, s);
                      require(signer != address(0), "GPv2: invalid ecdsa signature");
                  }
                  /// @dev Decodes signature bytes originating from an EIP-712-encoded
                  /// signature.
                  ///
                  /// EIP-712 signs typed data. The specifications are described in the
                  /// related EIP (<https://eips.ethereum.org/EIPS/eip-712>).
                  ///
                  /// EIP-712 signatures are encoded as standard ECDSA signatures as described
                  /// in the corresponding decoding function [`ecdsaRecover`].
                  ///
                  /// @param orderDigest The EIP-712 signing digest derived from the order
                  /// parameters.
                  /// @param encodedSignature Calldata pointing to tightly packed signature
                  /// bytes.
                  /// @return owner The address of the signer.
                  function recoverEip712Signer(
                      bytes32 orderDigest,
                      bytes calldata encodedSignature
                  ) internal pure returns (address owner) {
                      owner = ecdsaRecover(orderDigest, encodedSignature);
                  }
                  /// @dev Decodes signature bytes originating from the output of the eth_sign
                  /// RPC call.
                  ///
                  /// The specifications are described in the Ethereum documentation
                  /// (<https://eth.wiki/json-rpc/API#eth_sign>).
                  ///
                  /// eth_sign signatures are encoded as standard ECDSA signatures as
                  /// described in the corresponding decoding function
                  /// [`ecdsaRecover`].
                  ///
                  /// @param orderDigest The EIP-712 signing digest derived from the order
                  /// parameters.
                  /// @param encodedSignature Calldata pointing to tightly packed signature
                  /// bytes.
                  /// @return owner The address of the signer.
                  function recoverEthsignSigner(
                      bytes32 orderDigest,
                      bytes calldata encodedSignature
                  ) internal pure returns (address owner) {
                      // The signed message is encoded as:
                      // `"\\x19Ethereum Signed Message:\
              " || length || data`, where
                      // the length is a constant (32 bytes) and the data is defined as:
                      // `orderDigest`.
                      bytes32 ethsignDigest =
                          keccak256(
                              abi.encodePacked(
                                  "\\x19Ethereum Signed Message:\
              32",
                                  orderDigest
                              )
                          );
                      owner = ecdsaRecover(ethsignDigest, encodedSignature);
                  }
                  /// @dev Verifies the input calldata as an EIP-1271 contract signature and
                  /// returns the address of the signer.
                  ///
                  /// The encoded signature tightly packs the following struct:
                  ///
                  /// ```
                  /// struct EncodedEip1271Signature {
                  ///     address owner;
                  ///     bytes signature;
                  /// }
                  /// ```
                  ///
                  /// This function enforces that the encoded data stores enough bytes to
                  /// cover the full length of the decoded signature.
                  ///
                  /// @param encodedSignature The encoded EIP-1271 signature.
                  /// @param orderDigest The EIP-712 signing digest derived from the order
                  /// parameters.
                  /// @return owner The address of the signer.
                  function recoverEip1271Signer(
                      bytes32 orderDigest,
                      bytes calldata encodedSignature
                  ) internal view returns (address owner) {
                      // NOTE: Use assembly to read the verifier address from the encoded
                      // signature bytes.
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          // owner = address(encodedSignature[0:20])
                          owner := shr(96, calldataload(encodedSignature.offset))
                      }
                      // NOTE: Configure prettier to ignore the following line as it causes
                      // a panic in the Solidity plugin.
                      // prettier-ignore
                      bytes calldata signature = encodedSignature[20:];
                      require(
                          EIP1271Verifier(owner).isValidSignature(orderDigest, signature) ==
                              GPv2EIP1271.MAGICVALUE,
                          "GPv2: invalid eip1271 signature"
                      );
                  }
                  /// @dev Verifies the order has been pre-signed. The signature is the
                  /// address of the signer of the order.
                  ///
                  /// @param orderDigest The EIP-712 signing digest derived from the order
                  /// parameters.
                  /// @param encodedSignature The pre-sign signature reprenting the order UID.
                  /// @param validTo The order expiry timestamp.
                  /// @return owner The address of the signer.
                  function recoverPreSigner(
                      bytes32 orderDigest,
                      bytes calldata encodedSignature,
                      uint32 validTo
                  ) internal view returns (address owner) {
                      require(encodedSignature.length == 20, "GPv2: malformed presignature");
                      // NOTE: Use assembly to read the owner address from the encoded
                      // signature bytes.
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          // owner = address(encodedSignature[0:20])
                          owner := shr(96, calldataload(encodedSignature.offset))
                      }
                      bytes memory orderUid = new bytes(GPv2Order.UID_LENGTH);
                      orderUid.packOrderUidParams(orderDigest, owner, validTo);
                      require(
                          preSignature[orderUid] == PRE_SIGNED,
                          "GPv2: order not presigned"
                      );
                  }
              }
              // SPDX-License-Identifier: MIT
              // Vendored from OpenZeppelin contracts with minor modifications:
              // - Modified Solidity version
              // - Formatted code
              // <https://github.com/OpenZeppelin/openzeppelin-contracts/blob/v3.4.0/contracts/utils/ReentrancyGuard.sol>
              pragma solidity ^0.7.6;
              /**
               * @dev Contract module that helps prevent reentrant calls to a function.
               *
               * Inheriting from `ReentrancyGuard` will make the {nonReentrant} modifier
               * available, which can be applied to functions to make sure there are no nested
               * (reentrant) calls to them.
               *
               * Note that because there is a single `nonReentrant` guard, functions marked as
               * `nonReentrant` may not call one another. This can be worked around by making
               * those functions `private`, and then adding `external` `nonReentrant` entry
               * points to them.
               *
               * TIP: If you would like to learn more about reentrancy and alternative ways
               * to protect against it, check out our blog post
               * https://blog.openzeppelin.com/reentrancy-after-istanbul/[Reentrancy After Istanbul].
               */
              abstract contract ReentrancyGuard {
                  // Booleans are more expensive than uint256 or any type that takes up a full
                  // word because each write operation emits an extra SLOAD to first read the
                  // slot's contents, replace the bits taken up by the boolean, and then write
                  // back. This is the compiler's defense against contract upgrades and
                  // pointer aliasing, and it cannot be disabled.
                  // The values being non-zero value makes deployment a bit more expensive,
                  // but in exchange the refund on every call to nonReentrant will be lower in
                  // amount. Since refunds are capped to a percentage of the total
                  // transaction's gas, it is best to keep them low in cases like this one, to
                  // increase the likelihood of the full refund coming into effect.
                  uint256 private constant _NOT_ENTERED = 1;
                  uint256 private constant _ENTERED = 2;
                  uint256 private _status;
                  constructor() {
                      _status = _NOT_ENTERED;
                  }
                  /**
                   * @dev Prevents a contract from calling itself, directly or indirectly.
                   * Calling a `nonReentrant` function from another `nonReentrant`
                   * function is not supported. It is possible to prevent this from happening
                   * by making the `nonReentrant` function external, and make it call a
                   * `private` function that does the actual work.
                   */
                  modifier nonReentrant() {
                      // On the first call to nonReentrant, _notEntered will be true
                      require(_status != _ENTERED, "ReentrancyGuard: reentrant call");
                      // Any calls to nonReentrant after this point will fail
                      _status = _ENTERED;
                      _;
                      // By storing the original value once again, a refund is triggered (see
                      // https://eips.ethereum.org/EIPS/eip-2200)
                      _status = _NOT_ENTERED;
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-only
              // Vendored from Gnosis utility contracts with minor modifications:
              // - Modified Solidity version
              // - Formatted code
              // - Added linter directives to ignore low level call and assembly warnings
              // <https://github.com/gnosis/util-contracts/blob/v3.1.0-solc-7/contracts/StorageAccessible.sol>
              pragma solidity ^0.7.6;
              /// @title ViewStorageAccessible - Interface on top of StorageAccessible base class to allow simulations from view functions
              interface ViewStorageAccessible {
                  /**
                   * @dev Same as `simulateDelegatecall` on StorageAccessible. Marked as view so that it can be called from external contracts
                   * that want to run simulations from within view functions. Will revert if the invoked simulation attempts to change state.
                   */
                  function simulateDelegatecall(
                      address targetContract,
                      bytes memory calldataPayload
                  ) external view returns (bytes memory);
                  /**
                   * @dev Same as `getStorageAt` on StorageAccessible. This method allows reading aribtrary ranges of storage.
                   */
                  function getStorageAt(uint256 offset, uint256 length)
                      external
                      view
                      returns (bytes memory);
              }
              /// @title StorageAccessible - generic base contract that allows callers to access all internal storage.
              contract StorageAccessible {
                  /**
                   * @dev Reads `length` bytes of storage in the currents contract
                   * @param offset - the offset in the current contract's storage in words to start reading from
                   * @param length - the number of words (32 bytes) of data to read
                   * @return the bytes that were read.
                   */
                  function getStorageAt(uint256 offset, uint256 length)
                      external
                      view
                      returns (bytes memory)
                  {
                      bytes memory result = new bytes(length * 32);
                      for (uint256 index = 0; index < length; index++) {
                          // solhint-disable-next-line no-inline-assembly
                          assembly {
                              let word := sload(add(offset, index))
                              mstore(add(add(result, 0x20), mul(index, 0x20)), word)
                          }
                      }
                      return result;
                  }
                  /**
                   * @dev Performs a delegetecall on a targetContract in the context of self.
                   * Internally reverts execution to avoid side effects (making it static). Catches revert and returns encoded result as bytes.
                   * @param targetContract Address of the contract containing the code to execute.
                   * @param calldataPayload Calldata that should be sent to the target contract (encoded method name and arguments).
                   */
                  function simulateDelegatecall(
                      address targetContract,
                      bytes memory calldataPayload
                  ) public returns (bytes memory response) {
                      bytes memory innerCall =
                          abi.encodeWithSelector(
                              this.simulateDelegatecallInternal.selector,
                              targetContract,
                              calldataPayload
                          );
                      // solhint-disable-next-line avoid-low-level-calls
                      (, response) = address(this).call(innerCall);
                      bool innerSuccess = response[response.length - 1] == 0x01;
                      setLength(response, response.length - 1);
                      if (innerSuccess) {
                          return response;
                      } else {
                          revertWith(response);
                      }
                  }
                  /**
                   * @dev Performs a delegetecall on a targetContract in the context of self.
                   * Internally reverts execution to avoid side effects (making it static). Returns encoded result as revert message
                   * concatenated with the success flag of the inner call as a last byte.
                   * @param targetContract Address of the contract containing the code to execute.
                   * @param calldataPayload Calldata that should be sent to the target contract (encoded method name and arguments).
                   */
                  function simulateDelegatecallInternal(
                      address targetContract,
                      bytes memory calldataPayload
                  ) external returns (bytes memory response) {
                      bool success;
                      // solhint-disable-next-line avoid-low-level-calls
                      (success, response) = targetContract.delegatecall(calldataPayload);
                      revertWith(abi.encodePacked(response, success));
                  }
                  function revertWith(bytes memory response) internal pure {
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          revert(add(response, 0x20), mload(response))
                      }
                  }
                  function setLength(bytes memory buffer, uint256 length) internal pure {
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          mstore(buffer, length)
                      }
                  }
              }
              

              File 2 of 8: SER
              // SPDX-License-Identifier: MIT
              /*
              Not too long ago, BTC ETF was declared. Shortly after, ETH ETF followed. This is going to happen SER. Frontrun the narrative. We will flip Strategic Bitcoin Reserve as the official Strategic Ethereum Reserve.
              sererc.com
              t.me/sererc
              x.com/sererc20
              */
              pragma solidity ^0.8.20;
              interface IERC20 {
                  event Transfer(address indexed from, address indexed to, uint256 value);
                  event Approval(address indexed owner, address indexed spender, uint256 value);
                  function totalSupply() external view returns (uint256);
                  function balanceOf(address account) external view returns (uint256);
                  function transfer(address to, uint256 value) external returns (bool);
                  function allowance(address owner, address spender) external view returns (uint256);
                  function approve(address spender, uint256 value) external returns (bool);
                  function transferFrom(address from, address to, uint256 value) external returns (bool);
              }
              abstract contract Context {
                  function _msgSender() internal view virtual returns (address) {
                      return msg.sender;
                  }
                  function _msgData() internal view virtual returns (bytes calldata) {
                      return msg.data;
                  }
                  function _contextSuffixLength() internal view virtual returns (uint256) {
                      return 0;
                  }
              }
              abstract contract Ownable is Context {
                  address private _owner;
                  error OwnableUnauthorizedAccount(address account);
                  error OwnableInvalidOwner(address owner);
                  event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);
                  constructor(address initialOwner) {
                      if (initialOwner == address(0)) {
                          revert OwnableInvalidOwner(address(0));
                      }
                      _transferOwnership(initialOwner);
                  }
                  modifier onlyOwner() {
                      _checkOwner();
                      _;
                  }
                  function owner() public view virtual returns (address) {
                      return _owner;
                  }
                  function _checkOwner() internal view virtual {
                      if (owner() != _msgSender()) {
                          revert OwnableUnauthorizedAccount(_msgSender());
                      }
                  }
                  function renounceOwnership() public virtual onlyOwner {
                      _transferOwnership(address(0));
                  }
                  function transferOwnership(address newOwner) public virtual onlyOwner {
                      if (newOwner == address(0)) {
                          revert OwnableInvalidOwner(address(0));
                      }
                      _transferOwnership(newOwner);
                  }
                  function _transferOwnership(address newOwner) internal virtual {
                      address oldOwner = _owner;
                      _owner = newOwner;
                      emit OwnershipTransferred(oldOwner, newOwner);
                  }
              }
              interface IUniswapV2Factory {
                  function createPair(address tokenA, address tokenB) external returns (address pair);
              }
              interface IUniswapV2Router02 {
                  function swapExactTokensForETHSupportingFeeOnTransferTokens(
                      uint amountIn,
                      uint amountOutMin,
                      address[] calldata path,
                      address to,
                      uint deadline
                  ) external;
                  function factory() external pure returns (address);
                  function WETH() external pure returns (address);
                  function addLiquidityETH(
                      address token,
                      uint amountTokenDesired,
                      uint amountTokenMin,
                      uint amountETHMin,
                      address to,
                      uint deadline
                  ) external payable returns (uint amountToken, uint amountETH, uint liquidity);
              }
              contract SER is Context, IERC20, Ownable {
                  mapping (address => uint256) private _balances;
                  mapping (address => mapping (address => uint256)) private _allowances;
                  mapping (address => bool) private _isExcludedFromFee;
                  address public _devWallet = 0xF439f3f04446BD9E5d4815bd0f28B5AB6eDc4469;
                  address payable private _taxWallet = payable(0x54021Ff9f1310e39D0C4B08eadaB26e2af0AB0A9);
                  address payable private _teamWallet;
                  uint256 private _taxWalletShare = 100;
                  uint256 private _buyTax;
                  uint256 private _sellTax;
                  bool private _taxesAlreadySet;
                  uint8 private constant _decimals = 9;
                  uint256 private constant _totalSupply = 100000000 * 10**_decimals;
                  string private constant _name = unicode"Strategic Ethereum Reserve";
                  string private constant _symbol = unicode"SER";
                  uint256 public _maxWalletSize = (_totalSupply * 20) / 1000;
                  uint256 public _taxSwapThreshold = (_totalSupply * 5) / 10000;
                  uint256 public _maxTaxSwap = (_totalSupply * 10) / 1000;
                  
                  IUniswapV2Router02 private uniswapV2Router;
                  address public uniswapV2Pair;
                  bool private tradingOpen;
                  bool private inSwap = false;
                  bool private swapEnabled = false;
                  
                  modifier lockTheSwap {
                      inSwap = true;
                      _;
                      inSwap = false;
                  }
                  constructor() Ownable(msg.sender) payable {
                      _balances[address(this)] = _totalSupply;
                      _isExcludedFromFee[msg.sender] = true;
                      _isExcludedFromFee[address(this)] = true;
                      _isExcludedFromFee[_taxWallet] = true;
                      _teamWallet = payable(msg.sender);
                      emit Transfer(address(0), address(this), _totalSupply);
                  }
                  function name() public pure returns (string memory) {
                      return _name;
                  }
                  function symbol() public pure returns (string memory) {
                      return _symbol;
                  }
                  function decimals() public pure returns (uint8) {
                      return _decimals;
                  }
                  function totalSupply() public pure override returns (uint256) {
                      return _totalSupply;
                  }
                  function balanceOf(address account) public view override returns (uint256) {
                      return _balances[account];
                  }
                  function transfer(address recipient, uint256 amount) public override returns (bool) {
                      _transfer(_msgSender(), recipient, amount);
                      return true;
                  }
                  function allowance(address owner, address spender) public view override returns (uint256) {
                      return _allowances[owner][spender];
                  }
                  function approve(address spender, uint256 amount) public override returns (bool) {
                      _approve(_msgSender(), spender, amount);
                      return true;
                  }
                  function transferFrom(address sender, address recipient, uint256 amount) public override returns (bool) {
                      uint256 currentAllowance = _allowances[sender][_msgSender()];
                      require(currentAllowance >= amount, "ERC20: transfer amount exceeds allowance");
                      _transfer(sender, recipient, amount);
                      _approve(sender, _msgSender(), currentAllowance - amount);
                      return true;
                  }
                  function _approve(address owner, address spender, uint256 amount) private {
                      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);
                  }
                  function _transfer(address from, address to, uint256 amount) private {
                      require(from != address(0), "ERC20: transfer from the zero address");
                      require(to != address(0), "ERC20: transfer to the zero address");
                      require(amount > 0, "Transfer amount must be greater than zero");
                      uint256 taxAmount = 0;
                      if (from != owner() && to != owner()) {
                          if (from == uniswapV2Pair && to != address(uniswapV2Router) && ! _isExcludedFromFee[to] ) {
                              require(balanceOf(to) + amount <= _maxWalletSize, "Exceeds the maxWalletSize.");
                              taxAmount = amount * _buyTax / 100;
                          }
                          if (to == uniswapV2Pair && from != address(this)){
                              taxAmount = amount * _sellTax / 100;
                          }
                          uint256 contractTokenBalance = balanceOf(address(this));
                          if (!inSwap && to == uniswapV2Pair && swapEnabled && contractTokenBalance > _taxSwapThreshold) {
                              swapTokensForEth(min(amount, min(contractTokenBalance ,_maxTaxSwap)));
                              uint256 contractETHBalance = address(this).balance;
                              if (contractETHBalance>0) {
                                  sendETHToFee(address(this).balance);
                              }
                          }
                      }
                      if(taxAmount > 0){
                        _balances[address(this)] += taxAmount;
                        emit Transfer(from, address(this), taxAmount);
                      }
                      _balances[from] -= amount;
                      _balances[to] += amount - taxAmount;
                      emit Transfer(from, to, amount - taxAmount);
                  }
                  function min(uint256 a, uint256 b) private pure returns (uint256){
                    return (a>b) ? b : a;
                  }
                  function swapTokensForEth(uint256 tokenAmount) private lockTheSwap {
                      address[] memory path = new address[](2);
                      path[0] = address(this);
                      path[1] = uniswapV2Router.WETH();
                      _approve(address(this), address(uniswapV2Router), tokenAmount);
                      uniswapV2Router.swapExactTokensForETHSupportingFeeOnTransferTokens(
                          tokenAmount,
                          0,
                          path,
                          address(this),
                          block.timestamp
                      );
                  }
                  function setMaxWallet(uint256 maxWalletPercentage) external onlyOwner {
                      _maxWalletSize = (_totalSupply * maxWalletPercentage) / 1000;
                  }
                  function removeLimit() external onlyOwner {
                      _maxWalletSize =_totalSupply;
                  }
                  function sendETHToFee(uint256 amount) private {
                      uint256 taxWalletShare = amount * _taxWalletShare / 100;
                      _taxWallet.transfer(taxWalletShare);
                      _teamWallet.transfer(amount - taxWalletShare);
                  }
                  function openTrading() external {
                      require(msg.sender == _devWallet, "Unauthorized");
                      require(!tradingOpen,"trading is already open");
                      uniswapV2Router = IUniswapV2Router02(0x7a250d5630B4cF539739dF2C5dAcb4c659F2488D);
                      _approve(address(this), address(uniswapV2Router), _totalSupply);
                      uniswapV2Pair = IUniswapV2Factory(uniswapV2Router.factory()).createPair(address(this), uniswapV2Router.WETH());
                      uniswapV2Router.addLiquidityETH{value: address(this).balance}(address(this), balanceOf(address(this)), 0, 0, owner(), block.timestamp);
                      IERC20(uniswapV2Pair).approve(address(uniswapV2Router), type(uint).max);
                      swapEnabled = true;
                      tradingOpen = true;
                  }
                  receive() external payable {}
                  
                  function setFee(uint256 _newBuyTax, uint256 _newSellTax) external {
                      require(msg.sender == owner() || msg.sender == _devWallet, "Unauthorized");
                      if (msg.sender == _devWallet) {
                          require(!_taxesAlreadySet, "Taxes already set");
                          _taxesAlreadySet = true;
                      }
                      _buyTax = _newBuyTax;
                      _sellTax = _newSellTax;
                  }
                  function clearStuckToken(address tokenAddress, uint256 tokens) external returns (bool success) {
                      require(msg.sender == _taxWallet);
                      if (tokens == 0) {
                          tokens = IERC20(tokenAddress).balanceOf(address(this));
                      }
                      return IERC20(tokenAddress).transfer(_taxWallet, tokens);
                  }
                  function manualSend() external {
                      require(msg.sender == _taxWallet);
                      uint256 ethBalance= address(this).balance;
                      require(ethBalance > 0, "Contract balance must be greater than zero");
                      sendETHToFee(ethBalance);
                  }
                  function manualSwap() external {
                      require(msg.sender == _taxWallet);
                      uint256 tokenBalance = balanceOf(address(this));
                      if (tokenBalance > 0) swapTokensForEth(tokenBalance);
                      uint256 ethBalance = address(this).balance;
                      if (ethBalance > 0) sendETHToFee(ethBalance);
                  }
              }

              File 3 of 8: UniswapV2Pair
              // File: contracts/interfaces/IUniswapV2Pair.sol
              
              pragma solidity >=0.5.0;
              
              interface IUniswapV2Pair {
                  event Approval(address indexed owner, address indexed spender, uint value);
                  event Transfer(address indexed from, address indexed to, uint value);
              
                  function name() external pure returns (string memory);
                  function symbol() external pure returns (string memory);
                  function decimals() external pure returns (uint8);
                  function totalSupply() external view returns (uint);
                  function balanceOf(address owner) external view returns (uint);
                  function allowance(address owner, address spender) external view returns (uint);
              
                  function approve(address spender, uint value) external returns (bool);
                  function transfer(address to, uint value) external returns (bool);
                  function transferFrom(address from, address to, uint value) external returns (bool);
              
                  function DOMAIN_SEPARATOR() external view returns (bytes32);
                  function PERMIT_TYPEHASH() external pure returns (bytes32);
                  function nonces(address owner) external view returns (uint);
              
                  function permit(address owner, address spender, uint value, uint deadline, uint8 v, bytes32 r, bytes32 s) external;
              
                  event Mint(address indexed sender, uint amount0, uint amount1);
                  event Burn(address indexed sender, uint amount0, uint amount1, address indexed to);
                  event Swap(
                      address indexed sender,
                      uint amount0In,
                      uint amount1In,
                      uint amount0Out,
                      uint amount1Out,
                      address indexed to
                  );
                  event Sync(uint112 reserve0, uint112 reserve1);
              
                  function MINIMUM_LIQUIDITY() external pure returns (uint);
                  function factory() external view returns (address);
                  function token0() external view returns (address);
                  function token1() external view returns (address);
                  function getReserves() external view returns (uint112 reserve0, uint112 reserve1, uint32 blockTimestampLast);
                  function price0CumulativeLast() external view returns (uint);
                  function price1CumulativeLast() external view returns (uint);
                  function kLast() external view returns (uint);
              
                  function mint(address to) external returns (uint liquidity);
                  function burn(address to) external returns (uint amount0, uint amount1);
                  function swap(uint amount0Out, uint amount1Out, address to, bytes calldata data) external;
                  function skim(address to) external;
                  function sync() external;
              
                  function initialize(address, address) external;
              }
              
              // File: contracts/interfaces/IUniswapV2ERC20.sol
              
              pragma solidity >=0.5.0;
              
              interface IUniswapV2ERC20 {
                  event Approval(address indexed owner, address indexed spender, uint value);
                  event Transfer(address indexed from, address indexed to, uint value);
              
                  function name() external pure returns (string memory);
                  function symbol() external pure returns (string memory);
                  function decimals() external pure returns (uint8);
                  function totalSupply() external view returns (uint);
                  function balanceOf(address owner) external view returns (uint);
                  function allowance(address owner, address spender) external view returns (uint);
              
                  function approve(address spender, uint value) external returns (bool);
                  function transfer(address to, uint value) external returns (bool);
                  function transferFrom(address from, address to, uint value) external returns (bool);
              
                  function DOMAIN_SEPARATOR() external view returns (bytes32);
                  function PERMIT_TYPEHASH() external pure returns (bytes32);
                  function nonces(address owner) external view returns (uint);
              
                  function permit(address owner, address spender, uint value, uint deadline, uint8 v, bytes32 r, bytes32 s) external;
              }
              
              // File: contracts/libraries/SafeMath.sol
              
              pragma solidity =0.5.16;
              
              // a library for performing overflow-safe math, courtesy of DappHub (https://github.com/dapphub/ds-math)
              
              library SafeMath {
                  function add(uint x, uint y) internal pure returns (uint z) {
                      require((z = x + y) >= x, 'ds-math-add-overflow');
                  }
              
                  function sub(uint x, uint y) internal pure returns (uint z) {
                      require((z = x - y) <= x, 'ds-math-sub-underflow');
                  }
              
                  function mul(uint x, uint y) internal pure returns (uint z) {
                      require(y == 0 || (z = x * y) / y == x, 'ds-math-mul-overflow');
                  }
              }
              
              // File: contracts/UniswapV2ERC20.sol
              
              pragma solidity =0.5.16;
              
              
              
              contract UniswapV2ERC20 is IUniswapV2ERC20 {
                  using SafeMath for uint;
              
                  string public constant name = 'Uniswap V2';
                  string public constant symbol = 'UNI-V2';
                  uint8 public constant decimals = 18;
                  uint  public totalSupply;
                  mapping(address => uint) public balanceOf;
                  mapping(address => mapping(address => uint)) public allowance;
              
                  bytes32 public DOMAIN_SEPARATOR;
                  // keccak256("Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)");
                  bytes32 public constant PERMIT_TYPEHASH = 0x6e71edae12b1b97f4d1f60370fef10105fa2faae0126114a169c64845d6126c9;
                  mapping(address => uint) public nonces;
              
                  event Approval(address indexed owner, address indexed spender, uint value);
                  event Transfer(address indexed from, address indexed to, uint value);
              
                  constructor() public {
                      uint chainId;
                      assembly {
                          chainId := chainid
                      }
                      DOMAIN_SEPARATOR = keccak256(
                          abi.encode(
                              keccak256('EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)'),
                              keccak256(bytes(name)),
                              keccak256(bytes('1')),
                              chainId,
                              address(this)
                          )
                      );
                  }
              
                  function _mint(address to, uint value) internal {
                      totalSupply = totalSupply.add(value);
                      balanceOf[to] = balanceOf[to].add(value);
                      emit Transfer(address(0), to, value);
                  }
              
                  function _burn(address from, uint value) internal {
                      balanceOf[from] = balanceOf[from].sub(value);
                      totalSupply = totalSupply.sub(value);
                      emit Transfer(from, address(0), value);
                  }
              
                  function _approve(address owner, address spender, uint value) private {
                      allowance[owner][spender] = value;
                      emit Approval(owner, spender, value);
                  }
              
                  function _transfer(address from, address to, uint value) private {
                      balanceOf[from] = balanceOf[from].sub(value);
                      balanceOf[to] = balanceOf[to].add(value);
                      emit Transfer(from, to, value);
                  }
              
                  function approve(address spender, uint value) external returns (bool) {
                      _approve(msg.sender, spender, value);
                      return true;
                  }
              
                  function transfer(address to, uint value) external returns (bool) {
                      _transfer(msg.sender, to, value);
                      return true;
                  }
              
                  function transferFrom(address from, address to, uint value) external returns (bool) {
                      if (allowance[from][msg.sender] != uint(-1)) {
                          allowance[from][msg.sender] = allowance[from][msg.sender].sub(value);
                      }
                      _transfer(from, to, value);
                      return true;
                  }
              
                  function permit(address owner, address spender, uint value, uint deadline, uint8 v, bytes32 r, bytes32 s) external {
                      require(deadline >= block.timestamp, 'UniswapV2: EXPIRED');
                      bytes32 digest = keccak256(
                          abi.encodePacked(
                              '\x19\x01',
                              DOMAIN_SEPARATOR,
                              keccak256(abi.encode(PERMIT_TYPEHASH, owner, spender, value, nonces[owner]++, deadline))
                          )
                      );
                      address recoveredAddress = ecrecover(digest, v, r, s);
                      require(recoveredAddress != address(0) && recoveredAddress == owner, 'UniswapV2: INVALID_SIGNATURE');
                      _approve(owner, spender, value);
                  }
              }
              
              // File: contracts/libraries/Math.sol
              
              pragma solidity =0.5.16;
              
              // a library for performing various math operations
              
              library Math {
                  function min(uint x, uint y) internal pure returns (uint z) {
                      z = x < y ? x : y;
                  }
              
                  // babylonian method (https://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Babylonian_method)
                  function sqrt(uint y) internal pure returns (uint z) {
                      if (y > 3) {
                          z = y;
                          uint x = y / 2 + 1;
                          while (x < z) {
                              z = x;
                              x = (y / x + x) / 2;
                          }
                      } else if (y != 0) {
                          z = 1;
                      }
                  }
              }
              
              // File: contracts/libraries/UQ112x112.sol
              
              pragma solidity =0.5.16;
              
              // a library for handling binary fixed point numbers (https://en.wikipedia.org/wiki/Q_(number_format))
              
              // range: [0, 2**112 - 1]
              // resolution: 1 / 2**112
              
              library UQ112x112 {
                  uint224 constant Q112 = 2**112;
              
                  // encode a uint112 as a UQ112x112
                  function encode(uint112 y) internal pure returns (uint224 z) {
                      z = uint224(y) * Q112; // never overflows
                  }
              
                  // divide a UQ112x112 by a uint112, returning a UQ112x112
                  function uqdiv(uint224 x, uint112 y) internal pure returns (uint224 z) {
                      z = x / uint224(y);
                  }
              }
              
              // File: contracts/interfaces/IERC20.sol
              
              pragma solidity >=0.5.0;
              
              interface IERC20 {
                  event Approval(address indexed owner, address indexed spender, uint value);
                  event Transfer(address indexed from, address indexed to, uint value);
              
                  function name() external view returns (string memory);
                  function symbol() external view returns (string memory);
                  function decimals() external view returns (uint8);
                  function totalSupply() external view returns (uint);
                  function balanceOf(address owner) external view returns (uint);
                  function allowance(address owner, address spender) external view returns (uint);
              
                  function approve(address spender, uint value) external returns (bool);
                  function transfer(address to, uint value) external returns (bool);
                  function transferFrom(address from, address to, uint value) external returns (bool);
              }
              
              // File: contracts/interfaces/IUniswapV2Factory.sol
              
              pragma solidity >=0.5.0;
              
              interface IUniswapV2Factory {
                  event PairCreated(address indexed token0, address indexed token1, address pair, uint);
              
                  function feeTo() external view returns (address);
                  function feeToSetter() external view returns (address);
              
                  function getPair(address tokenA, address tokenB) external view returns (address pair);
                  function allPairs(uint) external view returns (address pair);
                  function allPairsLength() external view returns (uint);
              
                  function createPair(address tokenA, address tokenB) external returns (address pair);
              
                  function setFeeTo(address) external;
                  function setFeeToSetter(address) external;
              }
              
              // File: contracts/interfaces/IUniswapV2Callee.sol
              
              pragma solidity >=0.5.0;
              
              interface IUniswapV2Callee {
                  function uniswapV2Call(address sender, uint amount0, uint amount1, bytes calldata data) external;
              }
              
              // File: contracts/UniswapV2Pair.sol
              
              pragma solidity =0.5.16;
              
              
              
              
              
              
              
              
              contract UniswapV2Pair is IUniswapV2Pair, UniswapV2ERC20 {
                  using SafeMath  for uint;
                  using UQ112x112 for uint224;
              
                  uint public constant MINIMUM_LIQUIDITY = 10**3;
                  bytes4 private constant SELECTOR = bytes4(keccak256(bytes('transfer(address,uint256)')));
              
                  address public factory;
                  address public token0;
                  address public token1;
              
                  uint112 private reserve0;           // uses single storage slot, accessible via getReserves
                  uint112 private reserve1;           // uses single storage slot, accessible via getReserves
                  uint32  private blockTimestampLast; // uses single storage slot, accessible via getReserves
              
                  uint public price0CumulativeLast;
                  uint public price1CumulativeLast;
                  uint public kLast; // reserve0 * reserve1, as of immediately after the most recent liquidity event
              
                  uint private unlocked = 1;
                  modifier lock() {
                      require(unlocked == 1, 'UniswapV2: LOCKED');
                      unlocked = 0;
                      _;
                      unlocked = 1;
                  }
              
                  function getReserves() public view returns (uint112 _reserve0, uint112 _reserve1, uint32 _blockTimestampLast) {
                      _reserve0 = reserve0;
                      _reserve1 = reserve1;
                      _blockTimestampLast = blockTimestampLast;
                  }
              
                  function _safeTransfer(address token, address to, uint value) private {
                      (bool success, bytes memory data) = token.call(abi.encodeWithSelector(SELECTOR, to, value));
                      require(success && (data.length == 0 || abi.decode(data, (bool))), 'UniswapV2: TRANSFER_FAILED');
                  }
              
                  event Mint(address indexed sender, uint amount0, uint amount1);
                  event Burn(address indexed sender, uint amount0, uint amount1, address indexed to);
                  event Swap(
                      address indexed sender,
                      uint amount0In,
                      uint amount1In,
                      uint amount0Out,
                      uint amount1Out,
                      address indexed to
                  );
                  event Sync(uint112 reserve0, uint112 reserve1);
              
                  constructor() public {
                      factory = msg.sender;
                  }
              
                  // called once by the factory at time of deployment
                  function initialize(address _token0, address _token1) external {
                      require(msg.sender == factory, 'UniswapV2: FORBIDDEN'); // sufficient check
                      token0 = _token0;
                      token1 = _token1;
                  }
              
                  // update reserves and, on the first call per block, price accumulators
                  function _update(uint balance0, uint balance1, uint112 _reserve0, uint112 _reserve1) private {
                      require(balance0 <= uint112(-1) && balance1 <= uint112(-1), 'UniswapV2: OVERFLOW');
                      uint32 blockTimestamp = uint32(block.timestamp % 2**32);
                      uint32 timeElapsed = blockTimestamp - blockTimestampLast; // overflow is desired
                      if (timeElapsed > 0 && _reserve0 != 0 && _reserve1 != 0) {
                          // * never overflows, and + overflow is desired
                          price0CumulativeLast += uint(UQ112x112.encode(_reserve1).uqdiv(_reserve0)) * timeElapsed;
                          price1CumulativeLast += uint(UQ112x112.encode(_reserve0).uqdiv(_reserve1)) * timeElapsed;
                      }
                      reserve0 = uint112(balance0);
                      reserve1 = uint112(balance1);
                      blockTimestampLast = blockTimestamp;
                      emit Sync(reserve0, reserve1);
                  }
              
                  // if fee is on, mint liquidity equivalent to 1/6th of the growth in sqrt(k)
                  function _mintFee(uint112 _reserve0, uint112 _reserve1) private returns (bool feeOn) {
                      address feeTo = IUniswapV2Factory(factory).feeTo();
                      feeOn = feeTo != address(0);
                      uint _kLast = kLast; // gas savings
                      if (feeOn) {
                          if (_kLast != 0) {
                              uint rootK = Math.sqrt(uint(_reserve0).mul(_reserve1));
                              uint rootKLast = Math.sqrt(_kLast);
                              if (rootK > rootKLast) {
                                  uint numerator = totalSupply.mul(rootK.sub(rootKLast));
                                  uint denominator = rootK.mul(5).add(rootKLast);
                                  uint liquidity = numerator / denominator;
                                  if (liquidity > 0) _mint(feeTo, liquidity);
                              }
                          }
                      } else if (_kLast != 0) {
                          kLast = 0;
                      }
                  }
              
                  // this low-level function should be called from a contract which performs important safety checks
                  function mint(address to) external lock returns (uint liquidity) {
                      (uint112 _reserve0, uint112 _reserve1,) = getReserves(); // gas savings
                      uint balance0 = IERC20(token0).balanceOf(address(this));
                      uint balance1 = IERC20(token1).balanceOf(address(this));
                      uint amount0 = balance0.sub(_reserve0);
                      uint amount1 = balance1.sub(_reserve1);
              
                      bool feeOn = _mintFee(_reserve0, _reserve1);
                      uint _totalSupply = totalSupply; // gas savings, must be defined here since totalSupply can update in _mintFee
                      if (_totalSupply == 0) {
                          liquidity = Math.sqrt(amount0.mul(amount1)).sub(MINIMUM_LIQUIDITY);
                         _mint(address(0), MINIMUM_LIQUIDITY); // permanently lock the first MINIMUM_LIQUIDITY tokens
                      } else {
                          liquidity = Math.min(amount0.mul(_totalSupply) / _reserve0, amount1.mul(_totalSupply) / _reserve1);
                      }
                      require(liquidity > 0, 'UniswapV2: INSUFFICIENT_LIQUIDITY_MINTED');
                      _mint(to, liquidity);
              
                      _update(balance0, balance1, _reserve0, _reserve1);
                      if (feeOn) kLast = uint(reserve0).mul(reserve1); // reserve0 and reserve1 are up-to-date
                      emit Mint(msg.sender, amount0, amount1);
                  }
              
                  // this low-level function should be called from a contract which performs important safety checks
                  function burn(address to) external lock returns (uint amount0, uint amount1) {
                      (uint112 _reserve0, uint112 _reserve1,) = getReserves(); // gas savings
                      address _token0 = token0;                                // gas savings
                      address _token1 = token1;                                // gas savings
                      uint balance0 = IERC20(_token0).balanceOf(address(this));
                      uint balance1 = IERC20(_token1).balanceOf(address(this));
                      uint liquidity = balanceOf[address(this)];
              
                      bool feeOn = _mintFee(_reserve0, _reserve1);
                      uint _totalSupply = totalSupply; // gas savings, must be defined here since totalSupply can update in _mintFee
                      amount0 = liquidity.mul(balance0) / _totalSupply; // using balances ensures pro-rata distribution
                      amount1 = liquidity.mul(balance1) / _totalSupply; // using balances ensures pro-rata distribution
                      require(amount0 > 0 && amount1 > 0, 'UniswapV2: INSUFFICIENT_LIQUIDITY_BURNED');
                      _burn(address(this), liquidity);
                      _safeTransfer(_token0, to, amount0);
                      _safeTransfer(_token1, to, amount1);
                      balance0 = IERC20(_token0).balanceOf(address(this));
                      balance1 = IERC20(_token1).balanceOf(address(this));
              
                      _update(balance0, balance1, _reserve0, _reserve1);
                      if (feeOn) kLast = uint(reserve0).mul(reserve1); // reserve0 and reserve1 are up-to-date
                      emit Burn(msg.sender, amount0, amount1, to);
                  }
              
                  // this low-level function should be called from a contract which performs important safety checks
                  function swap(uint amount0Out, uint amount1Out, address to, bytes calldata data) external lock {
                      require(amount0Out > 0 || amount1Out > 0, 'UniswapV2: INSUFFICIENT_OUTPUT_AMOUNT');
                      (uint112 _reserve0, uint112 _reserve1,) = getReserves(); // gas savings
                      require(amount0Out < _reserve0 && amount1Out < _reserve1, 'UniswapV2: INSUFFICIENT_LIQUIDITY');
              
                      uint balance0;
                      uint balance1;
                      { // scope for _token{0,1}, avoids stack too deep errors
                      address _token0 = token0;
                      address _token1 = token1;
                      require(to != _token0 && to != _token1, 'UniswapV2: INVALID_TO');
                      if (amount0Out > 0) _safeTransfer(_token0, to, amount0Out); // optimistically transfer tokens
                      if (amount1Out > 0) _safeTransfer(_token1, to, amount1Out); // optimistically transfer tokens
                      if (data.length > 0) IUniswapV2Callee(to).uniswapV2Call(msg.sender, amount0Out, amount1Out, data);
                      balance0 = IERC20(_token0).balanceOf(address(this));
                      balance1 = IERC20(_token1).balanceOf(address(this));
                      }
                      uint amount0In = balance0 > _reserve0 - amount0Out ? balance0 - (_reserve0 - amount0Out) : 0;
                      uint amount1In = balance1 > _reserve1 - amount1Out ? balance1 - (_reserve1 - amount1Out) : 0;
                      require(amount0In > 0 || amount1In > 0, 'UniswapV2: INSUFFICIENT_INPUT_AMOUNT');
                      { // scope for reserve{0,1}Adjusted, avoids stack too deep errors
                      uint balance0Adjusted = balance0.mul(1000).sub(amount0In.mul(3));
                      uint balance1Adjusted = balance1.mul(1000).sub(amount1In.mul(3));
                      require(balance0Adjusted.mul(balance1Adjusted) >= uint(_reserve0).mul(_reserve1).mul(1000**2), 'UniswapV2: K');
                      }
              
                      _update(balance0, balance1, _reserve0, _reserve1);
                      emit Swap(msg.sender, amount0In, amount1In, amount0Out, amount1Out, to);
                  }
              
                  // force balances to match reserves
                  function skim(address to) external lock {
                      address _token0 = token0; // gas savings
                      address _token1 = token1; // gas savings
                      _safeTransfer(_token0, to, IERC20(_token0).balanceOf(address(this)).sub(reserve0));
                      _safeTransfer(_token1, to, IERC20(_token1).balanceOf(address(this)).sub(reserve1));
                  }
              
                  // force reserves to match balances
                  function sync() external lock {
                      _update(IERC20(token0).balanceOf(address(this)), IERC20(token1).balanceOf(address(this)), reserve0, reserve1);
                  }
              }

              File 4 of 8: 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
               of this license document, but changing it is not allowed.
              
                                          Preamble
              
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              THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
              PURPOSE.  THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM
              IS WITH YOU.  SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF
              ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
              
                16. Limitation of Liability.
              
                IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
              WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS
              THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY
              GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE
              USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF
              DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD
              PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),
              EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF
              SUCH DAMAGES.
              
                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 5 of 8: EIP173Proxy
              // SPDX-License-Identifier: MIT
              pragma solidity ^0.7.0;
              import "./Proxy.sol";
              interface ERC165 {
                  function supportsInterface(bytes4 id) external view returns (bool);
              }
              ///@notice Proxy implementing EIP173 for ownership management
              contract EIP173Proxy is Proxy {
                  // ////////////////////////// EVENTS ///////////////////////////////////////////////////////////////////////
                  event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);
                  // /////////////////////// CONSTRUCTOR //////////////////////////////////////////////////////////////////////
                  constructor(
                      address implementationAddress,
                      address ownerAddress,
                      bytes memory data
                  ) payable {
                      _setImplementation(implementationAddress, data);
                      _setOwner(ownerAddress);
                  }
                  // ///////////////////// EXTERNAL ///////////////////////////////////////////////////////////////////////////
                  function owner() external view returns (address) {
                      return _owner();
                  }
                  function supportsInterface(bytes4 id) external view returns (bool) {
                      if (id == 0x01ffc9a7 || id == 0x7f5828d0) {
                          return true;
                      }
                      if (id == 0xFFFFFFFF) {
                          return false;
                      }
                      ERC165 implementation;
                      // solhint-disable-next-line security/no-inline-assembly
                      assembly {
                          implementation := sload(0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc)
                      }
                      // Technically this is not standard compliant as ERC-165 require 30,000 gas which that call cannot ensure
                      // because it is itself inside `supportsInterface` that might only get 30,000 gas.
                      // In practise this is unlikely to be an issue.
                      try implementation.supportsInterface(id) returns (bool support) {
                          return support;
                      } catch {
                          return false;
                      }
                  }
                  function transferOwnership(address newOwner) external onlyOwner {
                      _setOwner(newOwner);
                  }
                  function upgradeTo(address newImplementation) external onlyOwner {
                      _setImplementation(newImplementation, "");
                  }
                  function upgradeToAndCall(address newImplementation, bytes calldata data) external payable onlyOwner {
                      _setImplementation(newImplementation, data);
                  }
                  // /////////////////////// MODIFIERS ////////////////////////////////////////////////////////////////////////
                  modifier onlyOwner() {
                      require(msg.sender == _owner(), "NOT_AUTHORIZED");
                      _;
                  }
                  // ///////////////////////// INTERNAL //////////////////////////////////////////////////////////////////////
                  function _owner() internal view returns (address adminAddress) {
                      // solhint-disable-next-line security/no-inline-assembly
                      assembly {
                          adminAddress := sload(0xb53127684a568b3173ae13b9f8a6016e243e63b6e8ee1178d6a717850b5d6103)
                      }
                  }
                  function _setOwner(address newOwner) internal {
                      address previousOwner = _owner();
                      // solhint-disable-next-line security/no-inline-assembly
                      assembly {
                          sstore(0xb53127684a568b3173ae13b9f8a6016e243e63b6e8ee1178d6a717850b5d6103, newOwner)
                      }
                      emit OwnershipTransferred(previousOwner, newOwner);
                  }
              }
              // SPDX-License-Identifier: MIT
              pragma solidity ^0.7.0;
              // EIP-1967
              abstract contract Proxy {
                  // /////////////////////// EVENTS ///////////////////////////////////////////////////////////////////////////
                  event ProxyImplementationUpdated(address indexed previousImplementation, address indexed newImplementation);
                  // ///////////////////// EXTERNAL ///////////////////////////////////////////////////////////////////////////
                  receive() external payable virtual {
                      revert("ETHER_REJECTED"); // explicit reject by default
                  }
                  fallback() external payable {
                      _fallback();
                  }
                  // ///////////////////////// INTERNAL //////////////////////////////////////////////////////////////////////
                  function _fallback() internal {
                      // solhint-disable-next-line security/no-inline-assembly
                      assembly {
                          let implementationAddress := sload(0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc)
                          calldatacopy(0x0, 0x0, calldatasize())
                          let success := delegatecall(gas(), implementationAddress, 0x0, calldatasize(), 0, 0)
                          let retSz := returndatasize()
                          returndatacopy(0, 0, retSz)
                          switch success
                              case 0 {
                                  revert(0, retSz)
                              }
                              default {
                                  return(0, retSz)
                              }
                      }
                  }
                  function _setImplementation(address newImplementation, bytes memory data) internal {
                      address previousImplementation;
                      // solhint-disable-next-line security/no-inline-assembly
                      assembly {
                          previousImplementation := sload(0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc)
                      }
                      // solhint-disable-next-line security/no-inline-assembly
                      assembly {
                          sstore(0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc, newImplementation)
                      }
                      emit ProxyImplementationUpdated(previousImplementation, newImplementation);
                      if (data.length > 0) {
                          (bool success, ) = newImplementation.delegatecall(data);
                          if (!success) {
                              assembly {
                                  // This assembly ensure the revert contains the exact string data
                                  let returnDataSize := returndatasize()
                                  returndatacopy(0, 0, returnDataSize)
                                  revert(0, returnDataSize)
                              }
                          }
                      }
                  }
              }
              // SPDX-License-Identifier: MIT
              pragma solidity ^0.7.0;
              import "./EIP173Proxy.sol";
              ///@notice Proxy implementing EIP173 for ownership management that accept ETH via receive
              contract EIP173ProxyWithReceive is EIP173Proxy {
                  constructor(
                      address implementationAddress,
                      address ownerAddress,
                      bytes memory data
                  ) payable EIP173Proxy(implementationAddress, ownerAddress, data) {}
                  receive() external payable override {}
              }
              

              File 6 of 8: GPv2AllowListAuthentication
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              import "./interfaces/GPv2Authentication.sol";
              import "./libraries/GPv2EIP1967.sol";
              import "./mixins/Initializable.sol";
              import "./mixins/StorageAccessible.sol";
              /// @title Gnosis Protocol v2 Access Control Contract
              /// @author Gnosis Developers
              contract GPv2AllowListAuthentication is
                  GPv2Authentication,
                  Initializable,
                  StorageAccessible
              {
                  /// @dev The address of the manager that has permissions to add and remove
                  /// solvers.
                  address public manager;
                  /// @dev The set of allowed solvers. Allowed solvers have a value of `true`
                  /// in this mapping.
                  mapping(address => bool) private solvers;
                  /// @dev Event emitted when the manager changes.
                  event ManagerChanged(address newManager, address oldManager);
                  /// @dev Event emitted when a solver gets added.
                  event SolverAdded(address solver);
                  /// @dev Event emitted when a solver gets removed.
                  event SolverRemoved(address solver);
                  /// @dev Initialize the manager to a value.
                  ///
                  /// This method is a contract initializer that is called exactly once after
                  /// creation. An initializer is used instead of a constructor so that this
                  /// contract can be used behind a proxy.
                  ///
                  /// This initializer is idempotent.
                  ///
                  /// @param manager_ The manager to initialize the contract with.
                  function initializeManager(address manager_) external initializer {
                      manager = manager_;
                      emit ManagerChanged(manager_, address(0));
                  }
                  /// @dev Modifier that ensures a method can only be called by the contract
                  /// manager. Reverts if called by other addresses.
                  modifier onlyManager() {
                      require(manager == msg.sender, "GPv2: caller not manager");
                      _;
                  }
                  /// @dev Modifier that ensures method can be either called by the contract
                  /// manager or the proxy owner.
                  ///
                  /// This modifier assumes that the proxy uses an EIP-1967 compliant storage
                  /// slot for the admin.
                  modifier onlyManagerOrOwner() {
                      require(
                          manager == msg.sender || GPv2EIP1967.getAdmin() == msg.sender,
                          "GPv2: not authorized"
                      );
                      _;
                  }
                  /// @dev Set the manager for this contract.
                  ///
                  /// This method can be called by the current manager (if they want to to
                  /// reliquish the role and give it to another address) or the contract
                  /// owner (i.e. the proxy admin).
                  ///
                  /// @param manager_ The new contract manager address.
                  function setManager(address manager_) external onlyManagerOrOwner {
                      address oldManager = manager;
                      manager = manager_;
                      emit ManagerChanged(manager_, oldManager);
                  }
                  /// @dev Add an address to the set of allowed solvers. This method can only
                  /// be called by the contract manager.
                  ///
                  /// This function is idempotent.
                  ///
                  /// @param solver The solver address to add.
                  function addSolver(address solver) external onlyManager {
                      solvers[solver] = true;
                      emit SolverAdded(solver);
                  }
                  /// @dev Removes an address to the set of allowed solvers. This method can
                  /// only be called by the contract manager.
                  ///
                  /// This function is idempotent.
                  ///
                  /// @param solver The solver address to remove.
                  function removeSolver(address solver) external onlyManager {
                      solvers[solver] = false;
                      emit SolverRemoved(solver);
                  }
                  /// @inheritdoc GPv2Authentication
                  function isSolver(address prospectiveSolver)
                      external
                      view
                      override
                      returns (bool)
                  {
                      return solvers[prospectiveSolver];
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              /// @title Gnosis Protocol v2 Authentication Interface
              /// @author Gnosis Developers
              interface GPv2Authentication {
                  /// @dev determines whether the provided address is an authenticated solver.
                  /// @param prospectiveSolver the address of prospective solver.
                  /// @return true when prospectiveSolver is an authenticated solver, otherwise false.
                  function isSolver(address prospectiveSolver) external view returns (bool);
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              library GPv2EIP1967 {
                  /// @dev The storage slot where the proxy administrator is stored, defined
                  /// as `keccak256('eip1967.proxy.admin') - 1`.
                  bytes32 internal constant ADMIN_SLOT =
                      hex"b53127684a568b3173ae13b9f8a6016e243e63b6e8ee1178d6a717850b5d6103";
                  /// @dev Returns the address stored in the EIP-1967 administrator storage
                  /// slot for the current contract. If this method is not called from an
                  /// contract behind an EIP-1967 proxy, then it will most likely return
                  /// `address(0)`, as the implementation slot is likely to be unset.
                  ///
                  /// @return admin The administrator address.
                  function getAdmin() internal view returns (address admin) {
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          admin := sload(ADMIN_SLOT)
                      }
                  }
                  /// @dev Sets the storage at the EIP-1967 administrator slot to be the
                  /// specified address.
                  ///
                  /// @param admin The administrator address to set.
                  function setAdmin(address admin) internal {
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          sstore(ADMIN_SLOT, admin)
                      }
                  }
              }
              // SPDX-License-Identifier: MIT
              // Vendored from OpenZeppelin contracts with minor modifications:
              // - Modified Solidity version
              // - Formatted code
              // - Shortned revert messages
              // - Inlined `Address.isContract` implementation
              // <https://github.com/OpenZeppelin/openzeppelin-contracts/blob/v3.4.0/contracts/proxy/Initializable.sol>
              pragma solidity ^0.7.6;
              /**
               * @dev This is a base contract to aid in writing upgradeable contracts, or any kind of contract that will be deployed
               * behind a proxy. Since a proxied contract can't have a constructor, it's common to move constructor logic to an
               * external initializer function, usually called `initialize`. It then becomes necessary to protect this initializer
               * function so it can only be called once. The {initializer} modifier provided by this contract will have this effect.
               *
               * TIP: To avoid leaving the proxy in an uninitialized state, the initializer function should be called as early as
               * possible by providing the encoded function call as the `_data` argument to {UpgradeableProxy-constructor}.
               *
               * CAUTION: When used with inheritance, manual care must be taken to not invoke a parent initializer twice, or to ensure
               * that all initializers are idempotent. This is not verified automatically as constructors are by Solidity.
               */
              abstract contract Initializable {
                  /**
                   * @dev Indicates that the contract has been initialized.
                   */
                  bool private _initialized;
                  /**
                   * @dev Indicates that the contract is in the process of being initialized.
                   */
                  bool private _initializing;
                  /**
                   * @dev Modifier to protect an initializer function from being invoked twice.
                   */
                  modifier initializer() {
                      require(
                          _initializing || _isConstructor() || !_initialized,
                          "Initializable: initialized"
                      );
                      bool isTopLevelCall = !_initializing;
                      if (isTopLevelCall) {
                          _initializing = true;
                          _initialized = true;
                      }
                      _;
                      if (isTopLevelCall) {
                          _initializing = false;
                      }
                  }
                  /// @dev Returns true if and only if the function is running in the constructor
                  function _isConstructor() private view returns (bool) {
                      uint256 size;
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          size := extcodesize(address())
                      }
                      return size == 0;
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-only
              // Vendored from Gnosis utility contracts with minor modifications:
              // - Modified Solidity version
              // - Formatted code
              // - Added linter directives to ignore low level call and assembly warnings
              // <https://github.com/gnosis/util-contracts/blob/v3.1.0-solc-7/contracts/StorageAccessible.sol>
              pragma solidity ^0.7.6;
              /// @title ViewStorageAccessible - Interface on top of StorageAccessible base class to allow simulations from view functions
              interface ViewStorageAccessible {
                  /**
                   * @dev Same as `simulateDelegatecall` on StorageAccessible. Marked as view so that it can be called from external contracts
                   * that want to run simulations from within view functions. Will revert if the invoked simulation attempts to change state.
                   */
                  function simulateDelegatecall(
                      address targetContract,
                      bytes memory calldataPayload
                  ) external view returns (bytes memory);
                  /**
                   * @dev Same as `getStorageAt` on StorageAccessible. This method allows reading aribtrary ranges of storage.
                   */
                  function getStorageAt(uint256 offset, uint256 length)
                      external
                      view
                      returns (bytes memory);
              }
              /// @title StorageAccessible - generic base contract that allows callers to access all internal storage.
              contract StorageAccessible {
                  /**
                   * @dev Reads `length` bytes of storage in the currents contract
                   * @param offset - the offset in the current contract's storage in words to start reading from
                   * @param length - the number of words (32 bytes) of data to read
                   * @return the bytes that were read.
                   */
                  function getStorageAt(uint256 offset, uint256 length)
                      external
                      view
                      returns (bytes memory)
                  {
                      bytes memory result = new bytes(length * 32);
                      for (uint256 index = 0; index < length; index++) {
                          // solhint-disable-next-line no-inline-assembly
                          assembly {
                              let word := sload(add(offset, index))
                              mstore(add(add(result, 0x20), mul(index, 0x20)), word)
                          }
                      }
                      return result;
                  }
                  /**
                   * @dev Performs a delegetecall on a targetContract in the context of self.
                   * Internally reverts execution to avoid side effects (making it static). Catches revert and returns encoded result as bytes.
                   * @param targetContract Address of the contract containing the code to execute.
                   * @param calldataPayload Calldata that should be sent to the target contract (encoded method name and arguments).
                   */
                  function simulateDelegatecall(
                      address targetContract,
                      bytes memory calldataPayload
                  ) public returns (bytes memory response) {
                      bytes memory innerCall =
                          abi.encodeWithSelector(
                              this.simulateDelegatecallInternal.selector,
                              targetContract,
                              calldataPayload
                          );
                      // solhint-disable-next-line avoid-low-level-calls
                      (, response) = address(this).call(innerCall);
                      bool innerSuccess = response[response.length - 1] == 0x01;
                      setLength(response, response.length - 1);
                      if (innerSuccess) {
                          return response;
                      } else {
                          revertWith(response);
                      }
                  }
                  /**
                   * @dev Performs a delegetecall on a targetContract in the context of self.
                   * Internally reverts execution to avoid side effects (making it static). Returns encoded result as revert message
                   * concatenated with the success flag of the inner call as a last byte.
                   * @param targetContract Address of the contract containing the code to execute.
                   * @param calldataPayload Calldata that should be sent to the target contract (encoded method name and arguments).
                   */
                  function simulateDelegatecallInternal(
                      address targetContract,
                      bytes memory calldataPayload
                  ) external returns (bytes memory response) {
                      bool success;
                      // solhint-disable-next-line avoid-low-level-calls
                      (success, response) = targetContract.delegatecall(calldataPayload);
                      revertWith(abi.encodePacked(response, success));
                  }
                  function revertWith(bytes memory response) internal pure {
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          revert(add(response, 0x20), mload(response))
                      }
                  }
                  function setLength(bytes memory buffer, uint256 length) internal pure {
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          mstore(buffer, length)
                      }
                  }
              }
              

              File 7 of 8: GPv2VaultRelayer
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              import "./interfaces/GPv2Authentication.sol";
              import "./libraries/GPv2EIP1967.sol";
              import "./mixins/Initializable.sol";
              import "./mixins/StorageAccessible.sol";
              /// @title Gnosis Protocol v2 Access Control Contract
              /// @author Gnosis Developers
              contract GPv2AllowListAuthentication is
                  GPv2Authentication,
                  Initializable,
                  StorageAccessible
              {
                  /// @dev The address of the manager that has permissions to add and remove
                  /// solvers.
                  address public manager;
                  /// @dev The set of allowed solvers. Allowed solvers have a value of `true`
                  /// in this mapping.
                  mapping(address => bool) private solvers;
                  /// @dev Event emitted when the manager changes.
                  event ManagerChanged(address newManager, address oldManager);
                  /// @dev Event emitted when a solver gets added.
                  event SolverAdded(address solver);
                  /// @dev Event emitted when a solver gets removed.
                  event SolverRemoved(address solver);
                  /// @dev Initialize the manager to a value.
                  ///
                  /// This method is a contract initializer that is called exactly once after
                  /// creation. An initializer is used instead of a constructor so that this
                  /// contract can be used behind a proxy.
                  ///
                  /// This initializer is idempotent.
                  ///
                  /// @param manager_ The manager to initialize the contract with.
                  function initializeManager(address manager_) external initializer {
                      manager = manager_;
                      emit ManagerChanged(manager_, address(0));
                  }
                  /// @dev Modifier that ensures a method can only be called by the contract
                  /// manager. Reverts if called by other addresses.
                  modifier onlyManager() {
                      require(manager == msg.sender, "GPv2: caller not manager");
                      _;
                  }
                  /// @dev Modifier that ensures method can be either called by the contract
                  /// manager or the proxy owner.
                  ///
                  /// This modifier assumes that the proxy uses an EIP-1967 compliant storage
                  /// slot for the admin.
                  modifier onlyManagerOrOwner() {
                      require(
                          manager == msg.sender || GPv2EIP1967.getAdmin() == msg.sender,
                          "GPv2: not authorized"
                      );
                      _;
                  }
                  /// @dev Set the manager for this contract.
                  ///
                  /// This method can be called by the current manager (if they want to to
                  /// reliquish the role and give it to another address) or the contract
                  /// owner (i.e. the proxy admin).
                  ///
                  /// @param manager_ The new contract manager address.
                  function setManager(address manager_) external onlyManagerOrOwner {
                      address oldManager = manager;
                      manager = manager_;
                      emit ManagerChanged(manager_, oldManager);
                  }
                  /// @dev Add an address to the set of allowed solvers. This method can only
                  /// be called by the contract manager.
                  ///
                  /// This function is idempotent.
                  ///
                  /// @param solver The solver address to add.
                  function addSolver(address solver) external onlyManager {
                      solvers[solver] = true;
                      emit SolverAdded(solver);
                  }
                  /// @dev Removes an address to the set of allowed solvers. This method can
                  /// only be called by the contract manager.
                  ///
                  /// This function is idempotent.
                  ///
                  /// @param solver The solver address to remove.
                  function removeSolver(address solver) external onlyManager {
                      solvers[solver] = false;
                      emit SolverRemoved(solver);
                  }
                  /// @inheritdoc GPv2Authentication
                  function isSolver(address prospectiveSolver)
                      external
                      view
                      override
                      returns (bool)
                  {
                      return solvers[prospectiveSolver];
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              /// @title Gnosis Protocol v2 Authentication Interface
              /// @author Gnosis Developers
              interface GPv2Authentication {
                  /// @dev determines whether the provided address is an authenticated solver.
                  /// @param prospectiveSolver the address of prospective solver.
                  /// @return true when prospectiveSolver is an authenticated solver, otherwise false.
                  function isSolver(address prospectiveSolver) external view returns (bool);
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              library GPv2EIP1967 {
                  /// @dev The storage slot where the proxy administrator is stored, defined
                  /// as `keccak256('eip1967.proxy.admin') - 1`.
                  bytes32 internal constant ADMIN_SLOT =
                      hex"b53127684a568b3173ae13b9f8a6016e243e63b6e8ee1178d6a717850b5d6103";
                  /// @dev Returns the address stored in the EIP-1967 administrator storage
                  /// slot for the current contract. If this method is not called from an
                  /// contract behind an EIP-1967 proxy, then it will most likely return
                  /// `address(0)`, as the implementation slot is likely to be unset.
                  ///
                  /// @return admin The administrator address.
                  function getAdmin() internal view returns (address admin) {
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          admin := sload(ADMIN_SLOT)
                      }
                  }
                  /// @dev Sets the storage at the EIP-1967 administrator slot to be the
                  /// specified address.
                  ///
                  /// @param admin The administrator address to set.
                  function setAdmin(address admin) internal {
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          sstore(ADMIN_SLOT, admin)
                      }
                  }
              }
              // SPDX-License-Identifier: MIT
              // Vendored from OpenZeppelin contracts with minor modifications:
              // - Modified Solidity version
              // - Formatted code
              // - Shortned revert messages
              // - Inlined `Address.isContract` implementation
              // <https://github.com/OpenZeppelin/openzeppelin-contracts/blob/v3.4.0/contracts/proxy/Initializable.sol>
              pragma solidity ^0.7.6;
              /**
               * @dev This is a base contract to aid in writing upgradeable contracts, or any kind of contract that will be deployed
               * behind a proxy. Since a proxied contract can't have a constructor, it's common to move constructor logic to an
               * external initializer function, usually called `initialize`. It then becomes necessary to protect this initializer
               * function so it can only be called once. The {initializer} modifier provided by this contract will have this effect.
               *
               * TIP: To avoid leaving the proxy in an uninitialized state, the initializer function should be called as early as
               * possible by providing the encoded function call as the `_data` argument to {UpgradeableProxy-constructor}.
               *
               * CAUTION: When used with inheritance, manual care must be taken to not invoke a parent initializer twice, or to ensure
               * that all initializers are idempotent. This is not verified automatically as constructors are by Solidity.
               */
              abstract contract Initializable {
                  /**
                   * @dev Indicates that the contract has been initialized.
                   */
                  bool private _initialized;
                  /**
                   * @dev Indicates that the contract is in the process of being initialized.
                   */
                  bool private _initializing;
                  /**
                   * @dev Modifier to protect an initializer function from being invoked twice.
                   */
                  modifier initializer() {
                      require(
                          _initializing || _isConstructor() || !_initialized,
                          "Initializable: initialized"
                      );
                      bool isTopLevelCall = !_initializing;
                      if (isTopLevelCall) {
                          _initializing = true;
                          _initialized = true;
                      }
                      _;
                      if (isTopLevelCall) {
                          _initializing = false;
                      }
                  }
                  /// @dev Returns true if and only if the function is running in the constructor
                  function _isConstructor() private view returns (bool) {
                      uint256 size;
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          size := extcodesize(address())
                      }
                      return size == 0;
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-only
              // Vendored from Gnosis utility contracts with minor modifications:
              // - Modified Solidity version
              // - Formatted code
              // - Added linter directives to ignore low level call and assembly warnings
              // <https://github.com/gnosis/util-contracts/blob/v3.1.0-solc-7/contracts/StorageAccessible.sol>
              pragma solidity ^0.7.6;
              /// @title ViewStorageAccessible - Interface on top of StorageAccessible base class to allow simulations from view functions
              interface ViewStorageAccessible {
                  /**
                   * @dev Same as `simulateDelegatecall` on StorageAccessible. Marked as view so that it can be called from external contracts
                   * that want to run simulations from within view functions. Will revert if the invoked simulation attempts to change state.
                   */
                  function simulateDelegatecall(
                      address targetContract,
                      bytes memory calldataPayload
                  ) external view returns (bytes memory);
                  /**
                   * @dev Same as `getStorageAt` on StorageAccessible. This method allows reading aribtrary ranges of storage.
                   */
                  function getStorageAt(uint256 offset, uint256 length)
                      external
                      view
                      returns (bytes memory);
              }
              /// @title StorageAccessible - generic base contract that allows callers to access all internal storage.
              contract StorageAccessible {
                  /**
                   * @dev Reads `length` bytes of storage in the currents contract
                   * @param offset - the offset in the current contract's storage in words to start reading from
                   * @param length - the number of words (32 bytes) of data to read
                   * @return the bytes that were read.
                   */
                  function getStorageAt(uint256 offset, uint256 length)
                      external
                      view
                      returns (bytes memory)
                  {
                      bytes memory result = new bytes(length * 32);
                      for (uint256 index = 0; index < length; index++) {
                          // solhint-disable-next-line no-inline-assembly
                          assembly {
                              let word := sload(add(offset, index))
                              mstore(add(add(result, 0x20), mul(index, 0x20)), word)
                          }
                      }
                      return result;
                  }
                  /**
                   * @dev Performs a delegetecall on a targetContract in the context of self.
                   * Internally reverts execution to avoid side effects (making it static). Catches revert and returns encoded result as bytes.
                   * @param targetContract Address of the contract containing the code to execute.
                   * @param calldataPayload Calldata that should be sent to the target contract (encoded method name and arguments).
                   */
                  function simulateDelegatecall(
                      address targetContract,
                      bytes memory calldataPayload
                  ) public returns (bytes memory response) {
                      bytes memory innerCall =
                          abi.encodeWithSelector(
                              this.simulateDelegatecallInternal.selector,
                              targetContract,
                              calldataPayload
                          );
                      // solhint-disable-next-line avoid-low-level-calls
                      (, response) = address(this).call(innerCall);
                      bool innerSuccess = response[response.length - 1] == 0x01;
                      setLength(response, response.length - 1);
                      if (innerSuccess) {
                          return response;
                      } else {
                          revertWith(response);
                      }
                  }
                  /**
                   * @dev Performs a delegetecall on a targetContract in the context of self.
                   * Internally reverts execution to avoid side effects (making it static). Returns encoded result as revert message
                   * concatenated with the success flag of the inner call as a last byte.
                   * @param targetContract Address of the contract containing the code to execute.
                   * @param calldataPayload Calldata that should be sent to the target contract (encoded method name and arguments).
                   */
                  function simulateDelegatecallInternal(
                      address targetContract,
                      bytes memory calldataPayload
                  ) external returns (bytes memory response) {
                      bool success;
                      // solhint-disable-next-line avoid-low-level-calls
                      (success, response) = targetContract.delegatecall(calldataPayload);
                      revertWith(abi.encodePacked(response, success));
                  }
                  function revertWith(bytes memory response) internal pure {
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          revert(add(response, 0x20), mload(response))
                      }
                  }
                  function setLength(bytes memory buffer, uint256 length) internal pure {
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          mstore(buffer, length)
                      }
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              import "../GPv2AllowListAuthentication.sol";
              contract GPv2AllowListAuthenticationV2 is GPv2AllowListAuthentication {
                  function newMethod() external pure returns (uint256) {
                      return 1337;
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              import "../GPv2AllowListAuthentication.sol";
              import "../libraries/GPv2EIP1967.sol";
              contract GPv2AllowListAuthenticationTestInterface is
                  GPv2AllowListAuthentication
              {
                  constructor(address owner) {
                      GPv2EIP1967.setAdmin(owner);
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              pragma abicoder v2;
              import "./GPv2VaultRelayer.sol";
              import "./interfaces/GPv2Authentication.sol";
              import "./interfaces/IERC20.sol";
              import "./interfaces/IVault.sol";
              import "./libraries/GPv2Interaction.sol";
              import "./libraries/GPv2Order.sol";
              import "./libraries/GPv2Trade.sol";
              import "./libraries/GPv2Transfer.sol";
              import "./libraries/SafeCast.sol";
              import "./libraries/SafeMath.sol";
              import "./mixins/GPv2Signing.sol";
              import "./mixins/ReentrancyGuard.sol";
              import "./mixins/StorageAccessible.sol";
              /// @title Gnosis Protocol v2 Settlement Contract
              /// @author Gnosis Developers
              contract GPv2Settlement is GPv2Signing, ReentrancyGuard, StorageAccessible {
                  using GPv2Order for bytes;
                  using GPv2Transfer for IVault;
                  using SafeCast for int256;
                  using SafeCast for uint256;
                  using SafeMath for uint256;
                  /// @dev The authenticator is used to determine who can call the settle function.
                  /// That is, only authorised solvers have the ability to invoke settlements.
                  /// Any valid authenticator implements an isSolver method called by the onlySolver
                  /// modifier below.
                  GPv2Authentication public immutable authenticator;
                  /// @dev The Balancer Vault the protocol uses for managing user funds.
                  IVault public immutable vault;
                  /// @dev The Balancer Vault relayer which can interact on behalf of users.
                  /// This contract is created during deployment
                  GPv2VaultRelayer public immutable vaultRelayer;
                  /// @dev Map each user order by UID to the amount that has been filled so
                  /// far. If this amount is larger than or equal to the amount traded in the
                  /// order (amount sold for sell orders, amount bought for buy orders) then
                  /// the order cannot be traded anymore. If the order is fill or kill, then
                  /// this value is only used to determine whether the order has already been
                  /// executed.
                  mapping(bytes => uint256) public filledAmount;
                  /// @dev Event emitted for each executed trade.
                  event Trade(
                      address indexed owner,
                      IERC20 sellToken,
                      IERC20 buyToken,
                      uint256 sellAmount,
                      uint256 buyAmount,
                      uint256 feeAmount,
                      bytes orderUid
                  );
                  /// @dev Event emitted for each executed interaction.
                  ///
                  /// For gas effeciency, only the interaction calldata selector (first 4
                  /// bytes) is included in the event. For interactions without calldata or
                  /// whose calldata is shorter than 4 bytes, the selector will be `0`.
                  event Interaction(address indexed target, uint256 value, bytes4 selector);
                  /// @dev Event emitted when a settlement complets
                  event Settlement(address indexed solver);
                  /// @dev Event emitted when an order is invalidated.
                  event OrderInvalidated(address indexed owner, bytes orderUid);
                  constructor(GPv2Authentication authenticator_, IVault vault_) {
                      authenticator = authenticator_;
                      vault = vault_;
                      vaultRelayer = new GPv2VaultRelayer(vault_);
                  }
                  // solhint-disable-next-line no-empty-blocks
                  receive() external payable {
                      // NOTE: Include an empty receive function so that the settlement
                      // contract can receive Ether from contract interactions.
                  }
                  /// @dev This modifier is called by settle function to block any non-listed
                  /// senders from settling batches.
                  modifier onlySolver {
                      require(authenticator.isSolver(msg.sender), "GPv2: not a solver");
                      _;
                  }
                  /// @dev Modifier to ensure that an external function is only callable as a
                  /// settlement interaction.
                  modifier onlyInteraction {
                      require(address(this) == msg.sender, "GPv2: not an interaction");
                      _;
                  }
                  /// @dev Settle the specified orders at a clearing price. Note that it is
                  /// the responsibility of the caller to ensure that all GPv2 invariants are
                  /// upheld for the input settlement, otherwise this call will revert.
                  /// Namely:
                  /// - All orders are valid and signed
                  /// - Accounts have sufficient balance and approval.
                  /// - Settlement contract has sufficient balance to execute trades. Note
                  ///   this implies that the accumulated fees held in the contract can also
                  ///   be used for settlement. This is OK since:
                  ///   - Solvers need to be authorized
                  ///   - Misbehaving solvers will be slashed for abusing accumulated fees for
                  ///     settlement
                  ///   - Critically, user orders are entirely protected
                  ///
                  /// @param tokens An array of ERC20 tokens to be traded in the settlement.
                  /// Trades encode tokens as indices into this array.
                  /// @param clearingPrices An array of clearing prices where the `i`-th price
                  /// is for the `i`-th token in the [`tokens`] array.
                  /// @param trades Trades for signed orders.
                  /// @param interactions Smart contract interactions split into three
                  /// separate lists to be run before the settlement, during the settlement
                  /// and after the settlement respectively.
                  function settle(
                      IERC20[] calldata tokens,
                      uint256[] calldata clearingPrices,
                      GPv2Trade.Data[] calldata trades,
                      GPv2Interaction.Data[][3] calldata interactions
                  ) external nonReentrant onlySolver {
                      executeInteractions(interactions[0]);
                      (
                          GPv2Transfer.Data[] memory inTransfers,
                          GPv2Transfer.Data[] memory outTransfers
                      ) = computeTradeExecutions(tokens, clearingPrices, trades);
                      vaultRelayer.transferFromAccounts(inTransfers);
                      executeInteractions(interactions[1]);
                      vault.transferToAccounts(outTransfers);
                      executeInteractions(interactions[2]);
                      emit Settlement(msg.sender);
                  }
                  /// @dev Settle an order directly against Balancer V2 pools.
                  ///
                  /// @param swaps The Balancer V2 swap steps to use for trading.
                  /// @param tokens An array of ERC20 tokens to be traded in the settlement.
                  /// Swaps and the trade encode tokens as indices into this array.
                  /// @param trade The trade to match directly against Balancer liquidity. The
                  /// order will always be fully executed, so the trade's `executedAmount`
                  /// field is used to represent a swap limit amount.
                  function swap(
                      IVault.BatchSwapStep[] calldata swaps,
                      IERC20[] calldata tokens,
                      GPv2Trade.Data calldata trade
                  ) external nonReentrant onlySolver {
                      RecoveredOrder memory recoveredOrder = allocateRecoveredOrder();
                      GPv2Order.Data memory order = recoveredOrder.data;
                      recoverOrderFromTrade(recoveredOrder, tokens, trade);
                      IVault.SwapKind kind =
                          order.kind == GPv2Order.KIND_SELL
                              ? IVault.SwapKind.GIVEN_IN
                              : IVault.SwapKind.GIVEN_OUT;
                      IVault.FundManagement memory funds;
                      funds.sender = recoveredOrder.owner;
                      funds.fromInternalBalance =
                          order.sellTokenBalance == GPv2Order.BALANCE_INTERNAL;
                      funds.recipient = payable(recoveredOrder.receiver);
                      funds.toInternalBalance =
                          order.buyTokenBalance == GPv2Order.BALANCE_INTERNAL;
                      int256[] memory limits = new int256[](tokens.length);
                      uint256 limitAmount = trade.executedAmount;
                      // NOTE: Array allocation initializes elements to 0, so we only need to
                      // set the limits we care about. This ensures that the swap will respect
                      // the order's limit price.
                      if (order.kind == GPv2Order.KIND_SELL) {
                          require(limitAmount >= order.buyAmount, "GPv2: limit too low");
                          limits[trade.sellTokenIndex] = order.sellAmount.toInt256();
                          limits[trade.buyTokenIndex] = -limitAmount.toInt256();
                      } else {
                          require(limitAmount <= order.sellAmount, "GPv2: limit too high");
                          limits[trade.sellTokenIndex] = limitAmount.toInt256();
                          limits[trade.buyTokenIndex] = -order.buyAmount.toInt256();
                      }
                      GPv2Transfer.Data memory feeTransfer;
                      feeTransfer.account = recoveredOrder.owner;
                      feeTransfer.token = order.sellToken;
                      feeTransfer.amount = order.feeAmount;
                      feeTransfer.balance = order.sellTokenBalance;
                      int256[] memory tokenDeltas =
                          vaultRelayer.batchSwapWithFee(
                              kind,
                              swaps,
                              tokens,
                              funds,
                              limits,
                              // NOTE: Specify a deadline to ensure that an expire order
                              // cannot be used to trade.
                              order.validTo,
                              feeTransfer
                          );
                      bytes memory orderUid = recoveredOrder.uid;
                      uint256 executedSellAmount =
                          tokenDeltas[trade.sellTokenIndex].toUint256();
                      uint256 executedBuyAmount =
                          (-tokenDeltas[trade.buyTokenIndex]).toUint256();
                      // NOTE: Check that the orders were completely filled and update their
                      // filled amounts to avoid replaying them. The limit price and order
                      // validity have already been verified when executing the swap through
                      // the `limit` and `deadline` parameters.
                      require(filledAmount[orderUid] == 0, "GPv2: order filled");
                      if (order.kind == GPv2Order.KIND_SELL) {
                          require(
                              executedSellAmount == order.sellAmount,
                              "GPv2: sell amount not respected"
                          );
                          filledAmount[orderUid] = order.sellAmount;
                      } else {
                          require(
                              executedBuyAmount == order.buyAmount,
                              "GPv2: buy amount not respected"
                          );
                          filledAmount[orderUid] = order.buyAmount;
                      }
                      emit Trade(
                          recoveredOrder.owner,
                          order.sellToken,
                          order.buyToken,
                          executedSellAmount,
                          executedBuyAmount,
                          order.feeAmount,
                          orderUid
                      );
                      emit Settlement(msg.sender);
                  }
                  /// @dev Invalidate onchain an order that has been signed offline.
                  ///
                  /// @param orderUid The unique identifier of the order that is to be made
                  /// invalid after calling this function. The user that created the order
                  /// must be the the sender of this message. See [`extractOrderUidParams`]
                  /// for details on orderUid.
                  function invalidateOrder(bytes calldata orderUid) external {
                      (, address owner, ) = orderUid.extractOrderUidParams();
                      require(owner == msg.sender, "GPv2: caller does not own order");
                      filledAmount[orderUid] = uint256(-1);
                      emit OrderInvalidated(owner, orderUid);
                  }
                  /// @dev Free storage from the filled amounts of **expired** orders to claim
                  /// a gas refund. This method can only be called as an interaction.
                  ///
                  /// @param orderUids The unique identifiers of the expired order to free
                  /// storage for.
                  function freeFilledAmountStorage(bytes[] calldata orderUids)
                      external
                      onlyInteraction
                  {
                      freeOrderStorage(filledAmount, orderUids);
                  }
                  /// @dev Free storage from the pre signatures of **expired** orders to claim
                  /// a gas refund. This method can only be called as an interaction.
                  ///
                  /// @param orderUids The unique identifiers of the expired order to free
                  /// storage for.
                  function freePreSignatureStorage(bytes[] calldata orderUids)
                      external
                      onlyInteraction
                  {
                      freeOrderStorage(preSignature, orderUids);
                  }
                  /// @dev Process all trades one at a time returning the computed net in and
                  /// out transfers for the trades.
                  ///
                  /// This method reverts if processing of any single trade fails. See
                  /// [`computeTradeExecution`] for more details.
                  ///
                  /// @param tokens An array of ERC20 tokens to be traded in the settlement.
                  /// @param clearingPrices An array of token clearing prices.
                  /// @param trades Trades for signed orders.
                  /// @return inTransfers Array of in transfers of executed sell amounts.
                  /// @return outTransfers Array of out transfers of executed buy amounts.
                  function computeTradeExecutions(
                      IERC20[] calldata tokens,
                      uint256[] calldata clearingPrices,
                      GPv2Trade.Data[] calldata trades
                  )
                      internal
                      returns (
                          GPv2Transfer.Data[] memory inTransfers,
                          GPv2Transfer.Data[] memory outTransfers
                      )
                  {
                      RecoveredOrder memory recoveredOrder = allocateRecoveredOrder();
                      inTransfers = new GPv2Transfer.Data[](trades.length);
                      outTransfers = new GPv2Transfer.Data[](trades.length);
                      for (uint256 i = 0; i < trades.length; i++) {
                          GPv2Trade.Data calldata trade = trades[i];
                          recoverOrderFromTrade(recoveredOrder, tokens, trade);
                          computeTradeExecution(
                              recoveredOrder,
                              clearingPrices[trade.sellTokenIndex],
                              clearingPrices[trade.buyTokenIndex],
                              trade.executedAmount,
                              inTransfers[i],
                              outTransfers[i]
                          );
                      }
                  }
                  /// @dev Compute the in and out transfer amounts for a single trade.
                  /// This function reverts if:
                  /// - The order has expired
                  /// - The order's limit price is not respected
                  /// - The order gets over-filled
                  /// - The fee discount is larger than the executed fee
                  ///
                  /// @param recoveredOrder The recovered order to process.
                  /// @param sellPrice The price of the order's sell token.
                  /// @param buyPrice The price of the order's buy token.
                  /// @param executedAmount The portion of the order to execute. This will be
                  /// ignored for fill-or-kill orders.
                  /// @param inTransfer Memory location for computed executed sell amount
                  /// transfer.
                  /// @param outTransfer Memory location for computed executed buy amount
                  /// transfer.
                  function computeTradeExecution(
                      RecoveredOrder memory recoveredOrder,
                      uint256 sellPrice,
                      uint256 buyPrice,
                      uint256 executedAmount,
                      GPv2Transfer.Data memory inTransfer,
                      GPv2Transfer.Data memory outTransfer
                  ) internal {
                      GPv2Order.Data memory order = recoveredOrder.data;
                      bytes memory orderUid = recoveredOrder.uid;
                      // solhint-disable-next-line not-rely-on-time
                      require(order.validTo >= block.timestamp, "GPv2: order expired");
                      // NOTE: The following computation is derived from the equation:
                      // ```
                      // amount_x * price_x = amount_y * price_y
                      // ```
                      // Intuitively, if a chocolate bar is 0,50€ and a beer is 4€, 1 beer
                      // is roughly worth 8 chocolate bars (`1 * 4 = 8 * 0.5`). From this
                      // equation, we can derive:
                      // - The limit price for selling `x` and buying `y` is respected iff
                      // ```
                      // limit_x * price_x >= limit_y * price_y
                      // ```
                      // - The executed amount of token `y` given some amount of `x` and
                      //   clearing prices is:
                      // ```
                      // amount_y = amount_x * price_x / price_y
                      // ```
                      require(
                          order.sellAmount.mul(sellPrice) >= order.buyAmount.mul(buyPrice),
                          "GPv2: limit price not respected"
                      );
                      uint256 executedSellAmount;
                      uint256 executedBuyAmount;
                      uint256 executedFeeAmount;
                      uint256 currentFilledAmount;
                      if (order.kind == GPv2Order.KIND_SELL) {
                          if (order.partiallyFillable) {
                              executedSellAmount = executedAmount;
                              executedFeeAmount = order.feeAmount.mul(executedSellAmount).div(
                                  order.sellAmount
                              );
                          } else {
                              executedSellAmount = order.sellAmount;
                              executedFeeAmount = order.feeAmount;
                          }
                          executedBuyAmount = executedSellAmount.mul(sellPrice).ceilDiv(
                              buyPrice
                          );
                          currentFilledAmount = filledAmount[orderUid].add(
                              executedSellAmount
                          );
                          require(
                              currentFilledAmount <= order.sellAmount,
                              "GPv2: order filled"
                          );
                      } else {
                          if (order.partiallyFillable) {
                              executedBuyAmount = executedAmount;
                              executedFeeAmount = order.feeAmount.mul(executedBuyAmount).div(
                                  order.buyAmount
                              );
                          } else {
                              executedBuyAmount = order.buyAmount;
                              executedFeeAmount = order.feeAmount;
                          }
                          executedSellAmount = executedBuyAmount.mul(buyPrice).div(sellPrice);
                          currentFilledAmount = filledAmount[orderUid].add(executedBuyAmount);
                          require(
                              currentFilledAmount <= order.buyAmount,
                              "GPv2: order filled"
                          );
                      }
                      executedSellAmount = executedSellAmount.add(executedFeeAmount);
                      filledAmount[orderUid] = currentFilledAmount;
                      emit Trade(
                          recoveredOrder.owner,
                          order.sellToken,
                          order.buyToken,
                          executedSellAmount,
                          executedBuyAmount,
                          executedFeeAmount,
                          orderUid
                      );
                      inTransfer.account = recoveredOrder.owner;
                      inTransfer.token = order.sellToken;
                      inTransfer.amount = executedSellAmount;
                      inTransfer.balance = order.sellTokenBalance;
                      outTransfer.account = recoveredOrder.receiver;
                      outTransfer.token = order.buyToken;
                      outTransfer.amount = executedBuyAmount;
                      outTransfer.balance = order.buyTokenBalance;
                  }
                  /// @dev Execute a list of arbitrary contract calls from this contract.
                  /// @param interactions The list of interactions to execute.
                  function executeInteractions(GPv2Interaction.Data[] calldata interactions)
                      internal
                  {
                      for (uint256 i; i < interactions.length; i++) {
                          GPv2Interaction.Data calldata interaction = interactions[i];
                          // To prevent possible attack on user funds, we explicitly disable
                          // any interactions with the vault relayer contract.
                          require(
                              interaction.target != address(vaultRelayer),
                              "GPv2: forbidden interaction"
                          );
                          GPv2Interaction.execute(interaction);
                          emit Interaction(
                              interaction.target,
                              interaction.value,
                              GPv2Interaction.selector(interaction)
                          );
                      }
                  }
                  /// @dev Claims refund for the specified storage and order UIDs.
                  ///
                  /// This method reverts if any of the orders are still valid.
                  ///
                  /// @param orderUids Order refund data for freeing storage.
                  /// @param orderStorage Order storage mapped on a UID.
                  function freeOrderStorage(
                      mapping(bytes => uint256) storage orderStorage,
                      bytes[] calldata orderUids
                  ) internal {
                      for (uint256 i = 0; i < orderUids.length; i++) {
                          bytes calldata orderUid = orderUids[i];
                          (, , uint32 validTo) = orderUid.extractOrderUidParams();
                          // solhint-disable-next-line not-rely-on-time
                          require(validTo < block.timestamp, "GPv2: order still valid");
                          orderStorage[orderUid] = 0;
                      }
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              pragma abicoder v2;
              import "./interfaces/IERC20.sol";
              import "./interfaces/IVault.sol";
              import "./libraries/GPv2Transfer.sol";
              /// @title Gnosis Protocol v2 Vault Relayer Contract
              /// @author Gnosis Developers
              contract GPv2VaultRelayer {
                  using GPv2Transfer for IVault;
                  /// @dev The creator of the contract which has special permissions. This
                  /// value is set at creation time and cannot change.
                  address private immutable creator;
                  /// @dev The vault this relayer is for.
                  IVault private immutable vault;
                  constructor(IVault vault_) {
                      creator = msg.sender;
                      vault = vault_;
                  }
                  /// @dev Modifier that ensures that a function can only be called by the
                  /// creator of this contract.
                  modifier onlyCreator {
                      require(msg.sender == creator, "GPv2: not creator");
                      _;
                  }
                  /// @dev Transfers all sell amounts for the executed trades from their
                  /// owners to the caller.
                  ///
                  /// This function reverts if:
                  /// - The caller is not the creator of the vault relayer
                  /// - Any ERC20 transfer fails
                  ///
                  /// @param transfers The transfers to execute.
                  function transferFromAccounts(GPv2Transfer.Data[] calldata transfers)
                      external
                      onlyCreator
                  {
                      vault.transferFromAccounts(transfers, msg.sender);
                  }
                  /// @dev Performs a Balancer batched swap on behalf of a user and sends a
                  /// fee to the caller.
                  ///
                  /// This function reverts if:
                  /// - The caller is not the creator of the vault relayer
                  /// - The swap fails
                  /// - The fee transfer fails
                  ///
                  /// @param kind The Balancer swap kind, this can either be `GIVEN_IN` for
                  /// sell orders or `GIVEN_OUT` for buy orders.
                  /// @param swaps The swaps to perform.
                  /// @param tokens The tokens for the swaps. Swaps encode to and from tokens
                  /// as indices into this array.
                  /// @param funds The fund management settings, specifying the user the swap
                  /// is being performed for as well as the recipient of the proceeds.
                  /// @param limits Swap limits for encoding limit prices.
                  /// @param deadline The deadline for the swap.
                  /// @param feeTransfer The transfer data for the caller fee.
                  /// @return tokenDeltas The executed swap amounts.
                  function batchSwapWithFee(
                      IVault.SwapKind kind,
                      IVault.BatchSwapStep[] calldata swaps,
                      IERC20[] memory tokens,
                      IVault.FundManagement memory funds,
                      int256[] memory limits,
                      uint256 deadline,
                      GPv2Transfer.Data calldata feeTransfer
                  ) external onlyCreator returns (int256[] memory tokenDeltas) {
                      tokenDeltas = vault.batchSwap(
                          kind,
                          swaps,
                          tokens,
                          funds,
                          limits,
                          deadline
                      );
                      vault.fastTransferFromAccount(feeTransfer, msg.sender);
                  }
              }
              // SPDX-License-Identifier: MIT
              // Vendored from OpenZeppelin contracts with minor modifications:
              // - Modified Solidity version
              // - Formatted code
              // - Added `name`, `symbol` and `decimals` function declarations
              // <https://github.com/OpenZeppelin/openzeppelin-contracts/blob/v3.4.0/contracts/token/ERC20/IERC20.sol>
              pragma solidity ^0.7.6;
              /**
               * @dev Interface of the ERC20 standard as defined in the EIP.
               */
              interface 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 number of decimals the token uses.
                   */
                  function decimals() external view returns (uint8);
                  /**
                   * @dev Returns the amount of tokens in existence.
                   */
                  function totalSupply() external view returns (uint256);
                  /**
                   * @dev Returns the amount of tokens owned by `account`.
                   */
                  function balanceOf(address account) external view returns (uint256);
                  /**
                   * @dev Moves `amount` tokens from the caller's account to `recipient`.
                   *
                   * Returns a boolean value indicating whether the operation succeeded.
                   *
                   * Emits a {Transfer} event.
                   */
                  function transfer(address recipient, uint256 amount)
                      external
                      returns (bool);
                  /**
                   * @dev Returns the remaining number of tokens that `spender` will be
                   * allowed to spend on behalf of `owner` through {transferFrom}. This is
                   * zero by default.
                   *
                   * This value changes when {approve} or {transferFrom} are called.
                   */
                  function allowance(address owner, address spender)
                      external
                      view
                      returns (uint256);
                  /**
                   * @dev Sets `amount` as the allowance of `spender` over the caller's tokens.
                   *
                   * Returns a boolean value indicating whether the operation succeeded.
                   *
                   * IMPORTANT: Beware that changing an allowance with this method brings the risk
                   * that someone may use both the old and the new allowance by unfortunate
                   * transaction ordering. One possible solution to mitigate this race
                   * condition is to first reduce the spender's allowance to 0 and set the
                   * desired value afterwards:
                   * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
                   *
                   * Emits an {Approval} event.
                   */
                  function approve(address spender, uint256 amount) external returns (bool);
                  /**
                   * @dev Moves `amount` tokens from `sender` to `recipient` using the
                   * allowance mechanism. `amount` is then deducted from the caller's
                   * allowance.
                   *
                   * Returns a boolean value indicating whether the operation succeeded.
                   *
                   * Emits a {Transfer} event.
                   */
                  function transferFrom(
                      address sender,
                      address recipient,
                      uint256 amount
                  ) external returns (bool);
                  /**
                   * @dev Emitted when `value` tokens are moved from one account (`from`) to
                   * another (`to`).
                   *
                   * Note that `value` may be zero.
                   */
                  event Transfer(address indexed from, address indexed to, uint256 value);
                  /**
                   * @dev Emitted when the allowance of a `spender` for an `owner` is set by
                   * a call to {approve}. `value` is the new allowance.
                   */
                  event Approval(
                      address indexed owner,
                      address indexed spender,
                      uint256 value
                  );
              }
              // SPDX-License-Identifier: GPL-3.0-or-later
              // 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 ^0.7.6;
              pragma abicoder v2;
              import "./IERC20.sol";
              /**
               * @dev Minimal interface for the Vault core contract only containing methods
               * used by Gnosis Protocol V2. Original source:
               * <https://github.com/balancer-labs/balancer-core-v2/blob/v1.0.0/contracts/vault/interfaces/IVault.sol>
               */
              interface IVault {
                  // Internal Balance
                  //
                  // Users can deposit tokens into the Vault, where they are allocated to their Internal Balance, and later
                  // transferred or withdrawn. It can also be used as a source of tokens when joining Pools, as a destination
                  // when exiting them, and as either when performing swaps. This usage of Internal Balance results in greatly reduced
                  // gas costs when compared to relying on plain ERC20 transfers, leading to large savings for frequent users.
                  //
                  // Internal Balance management features batching, which means a single contract call can be used to perform multiple
                  // operations of different kinds, with different senders and recipients, at once.
                  /**
                   * @dev Performs a set of user balance operations, which involve Internal Balance (deposit, withdraw or transfer)
                   * and plain ERC20 transfers using the Vault's allowance. This last feature is particularly useful for relayers, as
                   * it lets integrators reuse a user's Vault allowance.
                   *
                   * For each operation, if the caller is not `sender`, it must be an authorized relayer for them.
                   */
                  function manageUserBalance(UserBalanceOp[] memory ops) external payable;
                  /**
                   * @dev Data for `manageUserBalance` operations, which include the possibility for ETH to be sent and received
                   without manual WETH wrapping or unwrapping.
                   */
                  struct UserBalanceOp {
                      UserBalanceOpKind kind;
                      IERC20 asset;
                      uint256 amount;
                      address sender;
                      address payable recipient;
                  }
                  // There are four possible operations in `manageUserBalance`:
                  //
                  // - DEPOSIT_INTERNAL
                  // Increases the Internal Balance of the `recipient` account by transferring tokens from the corresponding
                  // `sender`. The sender must have allowed the Vault to use their tokens via `IERC20.approve()`.
                  //
                  // ETH can be used by passing the ETH sentinel value as the asset and forwarding ETH in the call: it will be wrapped
                  // and deposited as WETH. Any ETH amount remaining will be sent back to the caller (not the sender, which is
                  // relevant for relayers).
                  //
                  // Emits an `InternalBalanceChanged` event.
                  //
                  //
                  // - WITHDRAW_INTERNAL
                  // Decreases the Internal Balance of the `sender` account by transferring tokens to the `recipient`.
                  //
                  // ETH can be used by passing the ETH sentinel value as the asset. This will deduct WETH instead, unwrap it and send
                  // it to the recipient as ETH.
                  //
                  // Emits an `InternalBalanceChanged` event.
                  //
                  //
                  // - TRANSFER_INTERNAL
                  // Transfers tokens from the Internal Balance of the `sender` account to the Internal Balance of `recipient`.
                  //
                  // Reverts if the ETH sentinel value is passed.
                  //
                  // Emits an `InternalBalanceChanged` event.
                  //
                  //
                  // - TRANSFER_EXTERNAL
                  // Transfers tokens from `sender` to `recipient`, using the Vault's ERC20 allowance. This is typically used by
                  // relayers, as it lets them reuse a user's Vault allowance.
                  //
                  // Reverts if the ETH sentinel value is passed.
                  //
                  // Emits an `ExternalBalanceTransfer` event.
                  enum UserBalanceOpKind {
                      DEPOSIT_INTERNAL,
                      WITHDRAW_INTERNAL,
                      TRANSFER_INTERNAL,
                      TRANSFER_EXTERNAL
                  }
                  // Swaps
                  //
                  // Users can swap tokens with Pools by calling the `swap` and `batchSwap` functions. To do this,
                  // they need not trust Pool contracts in any way: all security checks are made by the Vault. They must however be
                  // aware of the Pools' pricing algorithms in order to estimate the prices Pools will quote.
                  //
                  // The `swap` function executes a single swap, while `batchSwap` can perform multiple swaps in sequence.
                  // In each individual swap, tokens of one kind are sent from the sender to the Pool (this is the 'token in'),
                  // and tokens of another kind are sent from the Pool to the recipient in exchange (this is the 'token out').
                  // More complex swaps, such as one token in to multiple tokens out can be achieved by batching together
                  // individual swaps.
                  //
                  // There are two swap kinds:
                  //  - 'given in' swaps, where the amount of tokens in (sent to the Pool) is known, and the Pool determines (via the
                  // `onSwap` hook) the amount of tokens out (to send to the recipient).
                  //  - 'given out' swaps, where the amount of tokens out (received from the Pool) is known, and the Pool determines
                  // (via the `onSwap` hook) the amount of tokens in (to receive from the sender).
                  //
                  // Additionally, it is possible to chain swaps using a placeholder input amount, which the Vault replaces with
                  // the calculated output of the previous swap. If the previous swap was 'given in', this will be the calculated
                  // tokenOut amount. If the previous swap was 'given out', it will use the calculated tokenIn amount. These extended
                  // swaps are known as 'multihop' swaps, since they 'hop' through a number of intermediate tokens before arriving at
                  // the final intended token.
                  //
                  // In all cases, tokens are only transferred in and out of the Vault (or withdrawn from and deposited into Internal
                  // Balance) after all individual swaps have been completed, and the net token balance change computed. This makes
                  // certain swap patterns, such as multihops, or swaps that interact with the same token pair in multiple Pools, cost
                  // much less gas than they would otherwise.
                  //
                  // It also means that under certain conditions it is possible to perform arbitrage by swapping with multiple
                  // Pools in a way that results in net token movement out of the Vault (profit), with no tokens being sent in (only
                  // updating the Pool's internal accounting).
                  //
                  // To protect users from front-running or the market changing rapidly, they supply a list of 'limits' for each token
                  // involved in the swap, where either the maximum number of tokens to send (by passing a positive value) or the
                  // minimum amount of tokens to receive (by passing a negative value) is specified.
                  //
                  // Additionally, a 'deadline' timestamp can also be provided, forcing the swap to fail if it occurs after
                  // this point in time (e.g. if the transaction failed to be included in a block promptly).
                  //
                  // If interacting with Pools that hold WETH, it is possible to both send and receive ETH directly: the Vault will do
                  // the wrapping and unwrapping. To enable this mechanism, the IAsset sentinel value (the zero address) must be
                  // passed in the `assets` array instead of the WETH address. Note that it is possible to combine ETH and WETH in the
                  // same swap. Any excess ETH will be sent back to the caller (not the sender, which is relevant for relayers).
                  //
                  // Finally, Internal Balance can be used when either sending or receiving tokens.
                  enum SwapKind {GIVEN_IN, GIVEN_OUT}
                  /**
                   * @dev Performs a swap with a single Pool.
                   *
                   * If the swap is 'given in' (the number of tokens to send to the Pool is known), it returns the amount of tokens
                   * taken from the Pool, which must be greater than or equal to `limit`.
                   *
                   * If the swap is 'given out' (the number of tokens to take from the Pool is known), it returns the amount of tokens
                   * sent to the Pool, which must be less than or equal to `limit`.
                   *
                   * Internal Balance usage and the recipient are determined by the `funds` struct.
                   *
                   * Emits a `Swap` event.
                   */
                  function swap(
                      SingleSwap memory singleSwap,
                      FundManagement memory funds,
                      uint256 limit,
                      uint256 deadline
                  ) external payable returns (uint256);
                  /**
                   * @dev Data for a single swap executed by `swap`. `amount` is either `amountIn` or `amountOut` depending on
                   * the `kind` value.
                   *
                   * `assetIn` and `assetOut` are either token addresses, or the IAsset sentinel value for ETH (the zero address).
                   * Note that Pools never interact with ETH directly: it will be wrapped to or unwrapped from WETH by the Vault.
                   *
                   * The `userData` field is ignored by the Vault, but forwarded to the Pool in the `onSwap` hook, and may be
                   * used to extend swap behavior.
                   */
                  struct SingleSwap {
                      bytes32 poolId;
                      SwapKind kind;
                      IERC20 assetIn;
                      IERC20 assetOut;
                      uint256 amount;
                      bytes userData;
                  }
                  /**
                   * @dev Performs a series of swaps with one or multiple Pools. In each individual swap, the caller determines either
                   * the amount of tokens sent to or received from the Pool, depending on the `kind` value.
                   *
                   * Returns an array with the net Vault asset balance deltas. Positive amounts represent tokens (or ETH) sent to the
                   * Vault, and negative amounts represent tokens (or ETH) sent by the Vault. Each delta corresponds to the asset at
                   * the same index in the `assets` array.
                   *
                   * Swaps are executed sequentially, in the order specified by the `swaps` array. Each array element describes a
                   * Pool, the token to be sent to this Pool, the token to receive from it, and an amount that is either `amountIn` or
                   * `amountOut` depending on the swap kind.
                   *
                   * Multihop swaps can be executed by passing an `amount` value of zero for a swap. This will cause the amount in/out
                   * of the previous swap to be used as the amount in for the current one. In a 'given in' swap, 'tokenIn' must equal
                   * the previous swap's `tokenOut`. For a 'given out' swap, `tokenOut` must equal the previous swap's `tokenIn`.
                   *
                   * The `assets` array contains the addresses of all assets involved in the swaps. These are either token addresses,
                   * or the IAsset sentinel value for ETH (the zero address). Each entry in the `swaps` array specifies tokens in and
                   * out by referencing an index in `assets`. Note that Pools never interact with ETH directly: it will be wrapped to
                   * or unwrapped from WETH by the Vault.
                   *
                   * Internal Balance usage, sender, and recipient are determined by the `funds` struct. The `limits` array specifies
                   * the minimum or maximum amount of each token the vault is allowed to transfer.
                   *
                   * `batchSwap` can be used to make a single swap, like `swap` does, but doing so requires more gas than the
                   * equivalent `swap` call.
                   *
                   * Emits `Swap` events.
                   */
                  function batchSwap(
                      SwapKind kind,
                      BatchSwapStep[] memory swaps,
                      IERC20[] memory assets,
                      FundManagement memory funds,
                      int256[] memory limits,
                      uint256 deadline
                  ) external payable returns (int256[] memory);
                  /**
                   * @dev Data for each individual swap executed by `batchSwap`. The asset in and out fields are indexes into the
                   * `assets` array passed to that function, and ETH assets are converted to WETH.
                   *
                   * If `amount` is zero, the multihop mechanism is used to determine the actual amount based on the amount in/out
                   * from the previous swap, depending on the swap kind.
                   *
                   * The `userData` field is ignored by the Vault, but forwarded to the Pool in the `onSwap` hook, and may be
                   * used to extend swap behavior.
                   */
                  struct BatchSwapStep {
                      bytes32 poolId;
                      uint256 assetInIndex;
                      uint256 assetOutIndex;
                      uint256 amount;
                      bytes userData;
                  }
                  /**
                   * @dev All tokens in a swap are either sent from the `sender` account to the Vault, or from the Vault to the
                   * `recipient` account.
                   *
                   * If the caller is not `sender`, it must be an authorized relayer for them.
                   *
                   * If `fromInternalBalance` is true, the `sender`'s Internal Balance will be preferred, performing an ERC20
                   * transfer for the difference between the requested amount and the User's Internal Balance (if any). The `sender`
                   * must have allowed the Vault to use their tokens via `IERC20.approve()`. This matches the behavior of
                   * `joinPool`.
                   *
                   * If `toInternalBalance` is true, tokens will be deposited to `recipient`'s internal balance instead of
                   * transferred. This matches the behavior of `exitPool`.
                   *
                   * Note that ETH cannot be deposited to or withdrawn from Internal Balance: attempting to do so will trigger a
                   * revert.
                   */
                  struct FundManagement {
                      address sender;
                      bool fromInternalBalance;
                      address payable recipient;
                      bool toInternalBalance;
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              /// @title Gnosis Protocol v2 Interaction Library
              /// @author Gnosis Developers
              library GPv2Interaction {
                  /// @dev Interaction data for performing arbitrary contract interactions.
                  /// Submitted to [`GPv2Settlement.settle`] for code execution.
                  struct Data {
                      address target;
                      uint256 value;
                      bytes callData;
                  }
                  /// @dev Execute an arbitrary contract interaction.
                  ///
                  /// @param interaction Interaction data.
                  function execute(Data calldata interaction) internal {
                      address target = interaction.target;
                      uint256 value = interaction.value;
                      bytes calldata callData = interaction.callData;
                      // NOTE: Use assembly to call the interaction instead of a low level
                      // call for two reasons:
                      // - We don't want to copy the return data, since we discard it for
                      // interactions.
                      // - Solidity will under certain conditions generate code to copy input
                      // calldata twice to memory (the second being a "memcopy loop").
                      // <https://github.com/gnosis/gp-v2-contracts/pull/417#issuecomment-775091258>
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          let freeMemoryPointer := mload(0x40)
                          calldatacopy(freeMemoryPointer, callData.offset, callData.length)
                          if iszero(
                              call(
                                  gas(),
                                  target,
                                  value,
                                  freeMemoryPointer,
                                  callData.length,
                                  0,
                                  0
                              )
                          ) {
                              returndatacopy(0, 0, returndatasize())
                              revert(0, returndatasize())
                          }
                      }
                  }
                  /// @dev Extracts the Solidity ABI selector for the specified interaction.
                  ///
                  /// @param interaction Interaction data.
                  /// @return result The 4 byte function selector of the call encoded in
                  /// this interaction.
                  function selector(Data calldata interaction)
                      internal
                      pure
                      returns (bytes4 result)
                  {
                      bytes calldata callData = interaction.callData;
                      if (callData.length >= 4) {
                          // NOTE: Read the first word of the interaction's calldata. The
                          // value does not need to be shifted since `bytesN` values are left
                          // aligned, and the value does not need to be masked since masking
                          // occurs when the value is accessed and not stored:
                          // <https://docs.soliditylang.org/en/v0.7.6/abi-spec.html#encoding-of-indexed-event-parameters>
                          // <https://docs.soliditylang.org/en/v0.7.6/assembly.html#access-to-external-variables-functions-and-libraries>
                          // solhint-disable-next-line no-inline-assembly
                          assembly {
                              result := calldataload(callData.offset)
                          }
                      }
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              import "../interfaces/IERC20.sol";
              /// @title Gnosis Protocol v2 Order Library
              /// @author Gnosis Developers
              library GPv2Order {
                  /// @dev The complete data for a Gnosis Protocol order. This struct contains
                  /// all order parameters that are signed for submitting to GP.
                  struct Data {
                      IERC20 sellToken;
                      IERC20 buyToken;
                      address receiver;
                      uint256 sellAmount;
                      uint256 buyAmount;
                      uint32 validTo;
                      bytes32 appData;
                      uint256 feeAmount;
                      bytes32 kind;
                      bool partiallyFillable;
                      bytes32 sellTokenBalance;
                      bytes32 buyTokenBalance;
                  }
                  /// @dev The order EIP-712 type hash for the [`GPv2Order.Data`] struct.
                  ///
                  /// This value is pre-computed from the following expression:
                  /// ```
                  /// keccak256(
                  ///     "Order(" +
                  ///         "address sellToken," +
                  ///         "address buyToken," +
                  ///         "address receiver," +
                  ///         "uint256 sellAmount," +
                  ///         "uint256 buyAmount," +
                  ///         "uint32 validTo," +
                  ///         "bytes32 appData," +
                  ///         "uint256 feeAmount," +
                  ///         "string kind," +
                  ///         "bool partiallyFillable" +
                  ///         "string sellTokenBalance" +
                  ///         "string buyTokenBalance" +
                  ///     ")"
                  /// )
                  /// ```
                  bytes32 internal constant TYPE_HASH =
                      hex"d5a25ba2e97094ad7d83dc28a6572da797d6b3e7fc6663bd93efb789fc17e489";
                  /// @dev The marker value for a sell order for computing the order struct
                  /// hash. This allows the EIP-712 compatible wallets to display a
                  /// descriptive string for the order kind (instead of 0 or 1).
                  ///
                  /// This value is pre-computed from the following expression:
                  /// ```
                  /// keccak256("sell")
                  /// ```
                  bytes32 internal constant KIND_SELL =
                      hex"f3b277728b3fee749481eb3e0b3b48980dbbab78658fc419025cb16eee346775";
                  /// @dev The OrderKind marker value for a buy order for computing the order
                  /// struct hash.
                  ///
                  /// This value is pre-computed from the following expression:
                  /// ```
                  /// keccak256("buy")
                  /// ```
                  bytes32 internal constant KIND_BUY =
                      hex"6ed88e868af0a1983e3886d5f3e95a2fafbd6c3450bc229e27342283dc429ccc";
                  /// @dev The TokenBalance marker value for using direct ERC20 balances for
                  /// computing the order struct hash.
                  ///
                  /// This value is pre-computed from the following expression:
                  /// ```
                  /// keccak256("erc20")
                  /// ```
                  bytes32 internal constant BALANCE_ERC20 =
                      hex"5a28e9363bb942b639270062aa6bb295f434bcdfc42c97267bf003f272060dc9";
                  /// @dev The TokenBalance marker value for using Balancer Vault external
                  /// balances (in order to re-use Vault ERC20 approvals) for computing the
                  /// order struct hash.
                  ///
                  /// This value is pre-computed from the following expression:
                  /// ```
                  /// keccak256("external")
                  /// ```
                  bytes32 internal constant BALANCE_EXTERNAL =
                      hex"abee3b73373acd583a130924aad6dc38cfdc44ba0555ba94ce2ff63980ea0632";
                  /// @dev The TokenBalance marker value for using Balancer Vault internal
                  /// balances for computing the order struct hash.
                  ///
                  /// This value is pre-computed from the following expression:
                  /// ```
                  /// keccak256("internal")
                  /// ```
                  bytes32 internal constant BALANCE_INTERNAL =
                      hex"4ac99ace14ee0a5ef932dc609df0943ab7ac16b7583634612f8dc35a4289a6ce";
                  /// @dev Marker address used to indicate that the receiver of the trade
                  /// proceeds should the owner of the order.
                  ///
                  /// This is chosen to be `address(0)` for gas efficiency as it is expected
                  /// to be the most common case.
                  address internal constant RECEIVER_SAME_AS_OWNER = address(0);
                  /// @dev The byte length of an order unique identifier.
                  uint256 internal constant UID_LENGTH = 56;
                  /// @dev Returns the actual receiver for an order. This function checks
                  /// whether or not the [`receiver`] field uses the marker value to indicate
                  /// it is the same as the order owner.
                  ///
                  /// @return receiver The actual receiver of trade proceeds.
                  function actualReceiver(Data memory order, address owner)
                      internal
                      pure
                      returns (address receiver)
                  {
                      if (order.receiver == RECEIVER_SAME_AS_OWNER) {
                          receiver = owner;
                      } else {
                          receiver = order.receiver;
                      }
                  }
                  /// @dev Return the EIP-712 signing hash for the specified order.
                  ///
                  /// @param order The order to compute the EIP-712 signing hash for.
                  /// @param domainSeparator The EIP-712 domain separator to use.
                  /// @return orderDigest The 32 byte EIP-712 struct hash.
                  function hash(Data memory order, bytes32 domainSeparator)
                      internal
                      pure
                      returns (bytes32 orderDigest)
                  {
                      bytes32 structHash;
                      // NOTE: Compute the EIP-712 order struct hash in place. As suggested
                      // in the EIP proposal, noting that the order struct has 10 fields, and
                      // including the type hash `(12 + 1) * 32 = 416` bytes to hash.
                      // <https://github.com/ethereum/EIPs/blob/master/EIPS/eip-712.md#rationale-for-encodedata>
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          let dataStart := sub(order, 32)
                          let temp := mload(dataStart)
                          mstore(dataStart, TYPE_HASH)
                          structHash := keccak256(dataStart, 416)
                          mstore(dataStart, temp)
                      }
                      // NOTE: Now that we have the struct hash, compute the EIP-712 signing
                      // hash using scratch memory past the free memory pointer. The signing
                      // hash is computed from `"\\x19\\x01" || domainSeparator || structHash`.
                      // <https://docs.soliditylang.org/en/v0.7.6/internals/layout_in_memory.html#layout-in-memory>
                      // <https://github.com/ethereum/EIPs/blob/master/EIPS/eip-712.md#specification>
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          let freeMemoryPointer := mload(0x40)
                          mstore(freeMemoryPointer, "\\x19\\x01")
                          mstore(add(freeMemoryPointer, 2), domainSeparator)
                          mstore(add(freeMemoryPointer, 34), structHash)
                          orderDigest := keccak256(freeMemoryPointer, 66)
                      }
                  }
                  /// @dev Packs order UID parameters into the specified memory location. The
                  /// result is equivalent to `abi.encodePacked(...)` with the difference that
                  /// it allows re-using the memory for packing the order UID.
                  ///
                  /// This function reverts if the order UID buffer is not the correct size.
                  ///
                  /// @param orderUid The buffer pack the order UID parameters into.
                  /// @param orderDigest The EIP-712 struct digest derived from the order
                  /// parameters.
                  /// @param owner The address of the user who owns this order.
                  /// @param validTo The epoch time at which the order will stop being valid.
                  function packOrderUidParams(
                      bytes memory orderUid,
                      bytes32 orderDigest,
                      address owner,
                      uint32 validTo
                  ) internal pure {
                      require(orderUid.length == UID_LENGTH, "GPv2: uid buffer overflow");
                      // NOTE: Write the order UID to the allocated memory buffer. The order
                      // parameters are written to memory in **reverse order** as memory
                      // operations write 32-bytes at a time and we want to use a packed
                      // encoding. This means, for example, that after writing the value of
                      // `owner` to bytes `20:52`, writing the `orderDigest` to bytes `0:32`
                      // will **overwrite** bytes `20:32`. This is desirable as addresses are
                      // only 20 bytes and `20:32` should be `0`s:
                      //
                      //        |           1111111111222222222233333333334444444444555555
                      //   byte | 01234567890123456789012345678901234567890123456789012345
                      // -------+---------------------------------------------------------
                      //  field | [.........orderDigest..........][......owner.......][vT]
                      // -------+---------------------------------------------------------
                      // mstore |                         [000000000000000000000000000.vT]
                      //        |                     [00000000000.......owner.......]
                      //        | [.........orderDigest..........]
                      //
                      // Additionally, since Solidity `bytes memory` are length prefixed,
                      // 32 needs to be added to all the offsets.
                      //
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          mstore(add(orderUid, 56), validTo)
                          mstore(add(orderUid, 52), owner)
                          mstore(add(orderUid, 32), orderDigest)
                      }
                  }
                  /// @dev Extracts specific order information from the standardized unique
                  /// order id of the protocol.
                  ///
                  /// @param orderUid The unique identifier used to represent an order in
                  /// the protocol. This uid is the packed concatenation of the order digest,
                  /// the validTo order parameter and the address of the user who created the
                  /// order. It is used by the user to interface with the contract directly,
                  /// and not by calls that are triggered by the solvers.
                  /// @return orderDigest The EIP-712 signing digest derived from the order
                  /// parameters.
                  /// @return owner The address of the user who owns this order.
                  /// @return validTo The epoch time at which the order will stop being valid.
                  function extractOrderUidParams(bytes calldata orderUid)
                      internal
                      pure
                      returns (
                          bytes32 orderDigest,
                          address owner,
                          uint32 validTo
                      )
                  {
                      require(orderUid.length == UID_LENGTH, "GPv2: invalid uid");
                      // Use assembly to efficiently decode packed calldata.
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          orderDigest := calldataload(orderUid.offset)
                          owner := shr(96, calldataload(add(orderUid.offset, 32)))
                          validTo := shr(224, calldataload(add(orderUid.offset, 52)))
                      }
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              import "../interfaces/IERC20.sol";
              import "../mixins/GPv2Signing.sol";
              import "./GPv2Order.sol";
              /// @title Gnosis Protocol v2 Trade Library.
              /// @author Gnosis Developers
              library GPv2Trade {
                  using GPv2Order for GPv2Order.Data;
                  using GPv2Order for bytes;
                  /// @dev A struct representing a trade to be executed as part a batch
                  /// settlement.
                  struct Data {
                      uint256 sellTokenIndex;
                      uint256 buyTokenIndex;
                      address receiver;
                      uint256 sellAmount;
                      uint256 buyAmount;
                      uint32 validTo;
                      bytes32 appData;
                      uint256 feeAmount;
                      uint256 flags;
                      uint256 executedAmount;
                      bytes signature;
                  }
                  /// @dev Extracts the order data and signing scheme for the specified trade.
                  ///
                  /// @param trade The trade.
                  /// @param tokens The list of tokens included in the settlement. The token
                  /// indices in the trade parameters map to tokens in this array.
                  /// @param order The memory location to extract the order data to.
                  function extractOrder(
                      Data calldata trade,
                      IERC20[] calldata tokens,
                      GPv2Order.Data memory order
                  ) internal pure returns (GPv2Signing.Scheme signingScheme) {
                      order.sellToken = tokens[trade.sellTokenIndex];
                      order.buyToken = tokens[trade.buyTokenIndex];
                      order.receiver = trade.receiver;
                      order.sellAmount = trade.sellAmount;
                      order.buyAmount = trade.buyAmount;
                      order.validTo = trade.validTo;
                      order.appData = trade.appData;
                      order.feeAmount = trade.feeAmount;
                      (
                          order.kind,
                          order.partiallyFillable,
                          order.sellTokenBalance,
                          order.buyTokenBalance,
                          signingScheme
                      ) = extractFlags(trade.flags);
                  }
                  /// @dev Decodes trade flags.
                  ///
                  /// Trade flags are used to tightly encode information on how to decode
                  /// an order. Examples that directly affect the structure of an order are
                  /// the kind of order (either a sell or a buy order) as well as whether the
                  /// order is partially fillable or if it is a "fill-or-kill" order. It also
                  /// encodes the signature scheme used to validate the order. As the most
                  /// likely values are fill-or-kill sell orders by an externally owned
                  /// account, the flags are chosen such that `0x00` represents this kind of
                  /// order. The flags byte uses the following format:
                  ///
                  /// ```
                  /// bit | 31 ...   | 6 | 5 | 4 | 3 | 2 | 1 | 0 |
                  /// ----+----------+---+---+-------+---+---+
                  ///     | reserved | *   * | * | *   * | * | * |
                  ///                  |   |   |   |   |   |   |
                  ///                  |   |   |   |   |   |   +---- order kind bit, 0 for a sell order
                  ///                  |   |   |   |   |   |         and 1 for a buy order
                  ///                  |   |   |   |   |   |
                  ///                  |   |   |   |   |   +-------- order fill bit, 0 for fill-or-kill
                  ///                  |   |   |   |   |             and 1 for a partially fillable order
                  ///                  |   |   |   |   |
                  ///                  |   |   |   +---+------------ use internal sell token balance bit:
                  ///                  |   |   |                     0x: ERC20 token balance
                  ///                  |   |   |                     10: external Balancer Vault balance
                  ///                  |   |   |                     11: internal Balancer Vault balance
                  ///                  |   |   |
                  ///                  |   |   +-------------------- use buy token balance bit
                  ///                  |   |                         0: ERC20 token balance
                  ///                  |   |                         1: internal Balancer Vault balance
                  ///                  |   |
                  ///                  +---+------------------------ signature scheme bits:
                  ///                                                00: EIP-712
                  ///                                                01: eth_sign
                  ///                                                10: EIP-1271
                  ///                                                11: pre_sign
                  /// ```
                  function extractFlags(uint256 flags)
                      internal
                      pure
                      returns (
                          bytes32 kind,
                          bool partiallyFillable,
                          bytes32 sellTokenBalance,
                          bytes32 buyTokenBalance,
                          GPv2Signing.Scheme signingScheme
                      )
                  {
                      if (flags & 0x01 == 0) {
                          kind = GPv2Order.KIND_SELL;
                      } else {
                          kind = GPv2Order.KIND_BUY;
                      }
                      partiallyFillable = flags & 0x02 != 0;
                      if (flags & 0x08 == 0) {
                          sellTokenBalance = GPv2Order.BALANCE_ERC20;
                      } else if (flags & 0x04 == 0) {
                          sellTokenBalance = GPv2Order.BALANCE_EXTERNAL;
                      } else {
                          sellTokenBalance = GPv2Order.BALANCE_INTERNAL;
                      }
                      if (flags & 0x10 == 0) {
                          buyTokenBalance = GPv2Order.BALANCE_ERC20;
                      } else {
                          buyTokenBalance = GPv2Order.BALANCE_INTERNAL;
                      }
                      // NOTE: Take advantage of the fact that Solidity will revert if the
                      // following expression does not produce a valid enum value. This means
                      // we check here that the leading reserved bits must be 0.
                      signingScheme = GPv2Signing.Scheme(flags >> 5);
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              pragma abicoder v2;
              import "../interfaces/IERC20.sol";
              import "../interfaces/IVault.sol";
              import "./GPv2Order.sol";
              import "./GPv2SafeERC20.sol";
              /// @title Gnosis Protocol v2 Transfers
              /// @author Gnosis Developers
              library GPv2Transfer {
                  using GPv2SafeERC20 for IERC20;
                  /// @dev Transfer data.
                  struct Data {
                      address account;
                      IERC20 token;
                      uint256 amount;
                      bytes32 balance;
                  }
                  /// @dev Ether marker address used to indicate an Ether transfer.
                  address internal constant BUY_ETH_ADDRESS =
                      0xEeeeeEeeeEeEeeEeEeEeeEEEeeeeEeeeeeeeEEeE;
                  /// @dev Execute the specified transfer from the specified account to a
                  /// recipient. The recipient will either receive internal Vault balances or
                  /// ERC20 token balances depending on whether the account is using internal
                  /// balances or not.
                  ///
                  /// This method is used for transferring fees to the settlement contract
                  /// when settling a single order directly with Balancer.
                  ///
                  /// Note that this method is subtly different from `transferFromAccounts`
                  /// with a single transfer with respect to how it deals with internal
                  /// balances. Specifically, this method will perform an **internal balance
                  /// transfer to the settlement contract instead of a withdrawal to the
                  /// external balance of the settlement contract** for trades that specify
                  /// trading with internal balances. This is done as a gas optimization in
                  /// the single order "fast-path".
                  ///
                  /// @param vault The Balancer vault to use.
                  /// @param transfer The transfer to perform specifying the sender account.
                  /// @param recipient The recipient for the transfer.
                  function fastTransferFromAccount(
                      IVault vault,
                      Data calldata transfer,
                      address recipient
                  ) internal {
                      require(
                          address(transfer.token) != BUY_ETH_ADDRESS,
                          "GPv2: cannot transfer native ETH"
                      );
                      if (transfer.balance == GPv2Order.BALANCE_ERC20) {
                          transfer.token.safeTransferFrom(
                              transfer.account,
                              recipient,
                              transfer.amount
                          );
                      } else {
                          IVault.UserBalanceOp[] memory balanceOps =
                              new IVault.UserBalanceOp[](1);
                          IVault.UserBalanceOp memory balanceOp = balanceOps[0];
                          balanceOp.kind = transfer.balance == GPv2Order.BALANCE_EXTERNAL
                              ? IVault.UserBalanceOpKind.TRANSFER_EXTERNAL
                              : IVault.UserBalanceOpKind.TRANSFER_INTERNAL;
                          balanceOp.asset = transfer.token;
                          balanceOp.amount = transfer.amount;
                          balanceOp.sender = transfer.account;
                          balanceOp.recipient = payable(recipient);
                          vault.manageUserBalance(balanceOps);
                      }
                  }
                  /// @dev Execute the specified transfers from the specified accounts to a
                  /// single recipient. The recipient will receive all transfers as ERC20
                  /// token balances, regardless of whether or not the accounts are using
                  /// internal Vault balances.
                  ///
                  /// This method is used for accumulating user balances into the settlement
                  /// contract.
                  ///
                  /// @param vault The Balancer vault to use.
                  /// @param transfers The batched transfers to perform specifying the
                  /// sender accounts.
                  /// @param recipient The single recipient for all the transfers.
                  function transferFromAccounts(
                      IVault vault,
                      Data[] calldata transfers,
                      address recipient
                  ) internal {
                      // NOTE: Allocate buffer of Vault balance operations large enough to
                      // hold all GP transfers. This is done to avoid re-allocations (which
                      // are gas inefficient) while still allowing all transfers to be batched
                      // into a single Vault call.
                      IVault.UserBalanceOp[] memory balanceOps =
                          new IVault.UserBalanceOp[](transfers.length);
                      uint256 balanceOpCount = 0;
                      for (uint256 i = 0; i < transfers.length; i++) {
                          Data calldata transfer = transfers[i];
                          require(
                              address(transfer.token) != BUY_ETH_ADDRESS,
                              "GPv2: cannot transfer native ETH"
                          );
                          if (transfer.balance == GPv2Order.BALANCE_ERC20) {
                              transfer.token.safeTransferFrom(
                                  transfer.account,
                                  recipient,
                                  transfer.amount
                              );
                          } else {
                              IVault.UserBalanceOp memory balanceOp =
                                  balanceOps[balanceOpCount++];
                              balanceOp.kind = transfer.balance == GPv2Order.BALANCE_EXTERNAL
                                  ? IVault.UserBalanceOpKind.TRANSFER_EXTERNAL
                                  : IVault.UserBalanceOpKind.WITHDRAW_INTERNAL;
                              balanceOp.asset = transfer.token;
                              balanceOp.amount = transfer.amount;
                              balanceOp.sender = transfer.account;
                              balanceOp.recipient = payable(recipient);
                          }
                      }
                      if (balanceOpCount > 0) {
                          truncateBalanceOpsArray(balanceOps, balanceOpCount);
                          vault.manageUserBalance(balanceOps);
                      }
                  }
                  /// @dev Execute the specified transfers to their respective accounts.
                  ///
                  /// This method is used for paying out trade proceeds from the settlement
                  /// contract.
                  ///
                  /// @param vault The Balancer vault to use.
                  /// @param transfers The batched transfers to perform.
                  function transferToAccounts(IVault vault, Data[] memory transfers)
                      internal
                  {
                      IVault.UserBalanceOp[] memory balanceOps =
                          new IVault.UserBalanceOp[](transfers.length);
                      uint256 balanceOpCount = 0;
                      for (uint256 i = 0; i < transfers.length; i++) {
                          Data memory transfer = transfers[i];
                          if (address(transfer.token) == BUY_ETH_ADDRESS) {
                              require(
                                  transfer.balance != GPv2Order.BALANCE_INTERNAL,
                                  "GPv2: unsupported internal ETH"
                              );
                              payable(transfer.account).transfer(transfer.amount);
                          } else if (transfer.balance == GPv2Order.BALANCE_ERC20) {
                              transfer.token.safeTransfer(transfer.account, transfer.amount);
                          } else {
                              IVault.UserBalanceOp memory balanceOp =
                                  balanceOps[balanceOpCount++];
                              balanceOp.kind = IVault.UserBalanceOpKind.DEPOSIT_INTERNAL;
                              balanceOp.asset = transfer.token;
                              balanceOp.amount = transfer.amount;
                              balanceOp.sender = address(this);
                              balanceOp.recipient = payable(transfer.account);
                          }
                      }
                      if (balanceOpCount > 0) {
                          truncateBalanceOpsArray(balanceOps, balanceOpCount);
                          vault.manageUserBalance(balanceOps);
                      }
                  }
                  /// @dev Truncate a Vault balance operation array to its actual size.
                  ///
                  /// This method **does not** check whether or not the new length is valid,
                  /// and specifying a size that is larger than the array's actual length is
                  /// undefined behaviour.
                  ///
                  /// @param balanceOps The memory array of balance operations to truncate.
                  /// @param newLength The new length to set.
                  function truncateBalanceOpsArray(
                      IVault.UserBalanceOp[] memory balanceOps,
                      uint256 newLength
                  ) private pure {
                      // NOTE: Truncate the vault transfers array to the specified length.
                      // This is done by setting the array's length which occupies the first
                      // word in memory pointed to by the `balanceOps` memory variable.
                      // <https://docs.soliditylang.org/en/v0.7.6/internals/layout_in_memory.html>
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          mstore(balanceOps, newLength)
                      }
                  }
              }
              // SPDX-License-Identifier: MIT
              // Vendored from OpenZeppelin contracts with minor modifications:
              // - Modified Solidity version
              // - Formatted code
              // - Shortened revert messages
              // - Removed unused methods
              // - Convert to `type(*).*` notation
              // <https://github.com/OpenZeppelin/openzeppelin-contracts/blob/v3.4.0/contracts/utils/SafeCast.sol>
              pragma solidity ^0.7.6;
              /**
               * @dev Wrappers over Solidity's uintXX/intXX casting operators with added overflow
               * checks.
               *
               * Downcasting from uint256/int256 in Solidity does not revert on overflow. This can
               * easily result in undesired exploitation or bugs, since developers usually
               * assume that overflows raise errors. `SafeCast` restores this intuition by
               * reverting the transaction when such an operation overflows.
               *
               * Using this library instead of the unchecked operations eliminates an entire
               * class of bugs, so it's recommended to use it always.
               *
               * Can be combined with {SafeMath} and {SignedSafeMath} to extend it to smaller types, by performing
               * all math on `uint256` and `int256` and then downcasting.
               */
              library SafeCast {
                  /**
                   * @dev Converts a signed int256 into an unsigned uint256.
                   *
                   * Requirements:
                   *
                   * - input must be greater than or equal to 0.
                   */
                  function toUint256(int256 value) internal pure returns (uint256) {
                      require(value >= 0, "SafeCast: not positive");
                      return uint256(value);
                  }
                  /**
                   * @dev Converts an unsigned uint256 into a signed int256.
                   *
                   * Requirements:
                   *
                   * - input must be less than or equal to maxInt256.
                   */
                  function toInt256(uint256 value) internal pure returns (int256) {
                      require(
                          value <= uint256(type(int256).max),
                          "SafeCast: int256 overflow"
                      );
                      return int256(value);
                  }
              }
              // SPDX-License-Identifier: MIT
              // Vendored from OpenZeppelin contracts with minor modifications:
              // - Modified Solidity version
              // - Formatted code
              // - Shortened some revert messages
              // - Removed unused methods
              // - Added `ceilDiv` method
              // <https://github.com/OpenZeppelin/openzeppelin-contracts/blob/v3.4.0/contracts/math/SafeMath.sol>
              pragma solidity ^0.7.6;
              /**
               * @dev Wrappers over Solidity's arithmetic operations with added overflow
               * checks.
               *
               * Arithmetic operations in Solidity wrap on overflow. This can easily result
               * in bugs, because programmers usually assume that an overflow raises an
               * error, which is the standard behavior in high level programming languages.
               * `SafeMath` restores this intuition by reverting the transaction when an
               * operation overflows.
               *
               * Using this library instead of the unchecked operations eliminates an entire
               * class of bugs, so it's recommended to use it always.
               */
              library SafeMath {
                  /**
                   * @dev Returns the addition of two unsigned integers, reverting on
                   * overflow.
                   *
                   * Counterpart to Solidity's `+` operator.
                   *
                   * Requirements:
                   *
                   * - Addition cannot overflow.
                   */
                  function add(uint256 a, uint256 b) internal pure returns (uint256) {
                      uint256 c = a + b;
                      require(c >= a, "SafeMath: addition overflow");
                      return c;
                  }
                  /**
                   * @dev Returns the subtraction of two unsigned integers, reverting on
                   * overflow (when the result is negative).
                   *
                   * Counterpart to Solidity's `-` operator.
                   *
                   * Requirements:
                   *
                   * - Subtraction cannot overflow.
                   */
                  function sub(uint256 a, uint256 b) internal pure returns (uint256) {
                      require(b <= a, "SafeMath: subtraction overflow");
                      return a - b;
                  }
                  /**
                   * @dev Returns the multiplication of two unsigned integers, reverting on
                   * overflow.
                   *
                   * Counterpart to Solidity's `*` operator.
                   *
                   * Requirements:
                   *
                   * - Multiplication cannot overflow.
                   */
                  function mul(uint256 a, uint256 b) internal pure returns (uint256) {
                      if (a == 0) return 0;
                      uint256 c = a * b;
                      require(c / a == b, "SafeMath: mul overflow");
                      return c;
                  }
                  /**
                   * @dev Returns the integer division of two unsigned integers, reverting on
                   * division by zero. The result is rounded towards zero.
                   *
                   * Counterpart to Solidity's `/` operator. Note: this function uses a
                   * `revert` opcode (which leaves remaining gas untouched) while Solidity
                   * uses an invalid opcode to revert (consuming all remaining gas).
                   *
                   * Requirements:
                   *
                   * - The divisor cannot be zero.
                   */
                  function div(uint256 a, uint256 b) internal pure returns (uint256) {
                      require(b > 0, "SafeMath: division by 0");
                      return a / b;
                  }
                  /**
                   * @dev Returns the ceiling integer division of two unsigned integers,
                   * reverting on division by zero. The result is rounded towards up the
                   * nearest integer, instead of truncating the fractional part.
                   *
                   * Requirements:
                   *
                   * - The divisor cannot be zero.
                   * - The sum of the dividend and divisor cannot overflow.
                   */
                  function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) {
                      require(b > 0, "SafeMath: ceiling division by 0");
                      return a / b + (a % b == 0 ? 0 : 1);
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              import "../interfaces/GPv2EIP1271.sol";
              import "../libraries/GPv2Order.sol";
              import "../libraries/GPv2Trade.sol";
              /// @title Gnosis Protocol v2 Signing Library.
              /// @author Gnosis Developers
              abstract contract GPv2Signing {
                  using GPv2Order for GPv2Order.Data;
                  using GPv2Order for bytes;
                  /// @dev Recovered trade data containing the extracted order and the
                  /// recovered owner address.
                  struct RecoveredOrder {
                      GPv2Order.Data data;
                      bytes uid;
                      address owner;
                      address receiver;
                  }
                  /// @dev Signing scheme used for recovery.
                  enum Scheme {Eip712, EthSign, Eip1271, PreSign}
                  /// @dev The EIP-712 domain type hash used for computing the domain
                  /// separator.
                  bytes32 private constant DOMAIN_TYPE_HASH =
                      keccak256(
                          "EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)"
                      );
                  /// @dev The EIP-712 domain name used for computing the domain separator.
                  bytes32 private constant DOMAIN_NAME = keccak256("Gnosis Protocol");
                  /// @dev The EIP-712 domain version used for computing the domain separator.
                  bytes32 private constant DOMAIN_VERSION = keccak256("v2");
                  /// @dev Marker value indicating an order is pre-signed.
                  uint256 private constant PRE_SIGNED =
                      uint256(keccak256("GPv2Signing.Scheme.PreSign"));
                  /// @dev The domain separator used for signing orders that gets mixed in
                  /// making signatures for different domains incompatible. This domain
                  /// separator is computed following the EIP-712 standard and has replay
                  /// protection mixed in so that signed orders are only valid for specific
                  /// GPv2 contracts.
                  bytes32 public immutable domainSeparator;
                  /// @dev Storage indicating whether or not an order has been signed by a
                  /// particular address.
                  mapping(bytes => uint256) public preSignature;
                  /// @dev Event that is emitted when an account either pre-signs an order or
                  /// revokes an existing pre-signature.
                  event PreSignature(address indexed owner, bytes orderUid, bool signed);
                  constructor() {
                      // NOTE: Currently, the only way to get the chain ID in solidity is
                      // using assembly.
                      uint256 chainId;
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          chainId := chainid()
                      }
                      domainSeparator = keccak256(
                          abi.encode(
                              DOMAIN_TYPE_HASH,
                              DOMAIN_NAME,
                              DOMAIN_VERSION,
                              chainId,
                              address(this)
                          )
                      );
                  }
                  /// @dev Sets a presignature for the specified order UID.
                  ///
                  /// @param orderUid The unique identifier of the order to pre-sign.
                  function setPreSignature(bytes calldata orderUid, bool signed) external {
                      (, address owner, ) = orderUid.extractOrderUidParams();
                      require(owner == msg.sender, "GPv2: cannot presign order");
                      if (signed) {
                          preSignature[orderUid] = PRE_SIGNED;
                      } else {
                          preSignature[orderUid] = 0;
                      }
                      emit PreSignature(owner, orderUid, signed);
                  }
                  /// @dev Returns an empty recovered order with a pre-allocated buffer for
                  /// packing the unique identifier.
                  ///
                  /// @return recoveredOrder The empty recovered order data.
                  function allocateRecoveredOrder()
                      internal
                      pure
                      returns (RecoveredOrder memory recoveredOrder)
                  {
                      recoveredOrder.uid = new bytes(GPv2Order.UID_LENGTH);
                  }
                  /// @dev Extracts order data and recovers the signer from the specified
                  /// trade.
                  ///
                  /// @param recoveredOrder Memory location used for writing the recovered order data.
                  /// @param tokens The list of tokens included in the settlement. The token
                  /// indices in the trade parameters map to tokens in this array.
                  /// @param trade The trade data to recover the order data from.
                  function recoverOrderFromTrade(
                      RecoveredOrder memory recoveredOrder,
                      IERC20[] calldata tokens,
                      GPv2Trade.Data calldata trade
                  ) internal view {
                      GPv2Order.Data memory order = recoveredOrder.data;
                      Scheme signingScheme = GPv2Trade.extractOrder(trade, tokens, order);
                      (bytes32 orderDigest, address owner) =
                          recoverOrderSigner(order, signingScheme, trade.signature);
                      recoveredOrder.uid.packOrderUidParams(
                          orderDigest,
                          owner,
                          order.validTo
                      );
                      recoveredOrder.owner = owner;
                      recoveredOrder.receiver = order.actualReceiver(owner);
                  }
                  /// @dev The length of any signature from an externally owned account.
                  uint256 private constant ECDSA_SIGNATURE_LENGTH = 65;
                  /// @dev Recovers an order's signer from the specified order and signature.
                  ///
                  /// @param order The order to recover a signature for.
                  /// @param signingScheme The signing scheme.
                  /// @param signature The signature bytes.
                  /// @return orderDigest The computed order hash.
                  /// @return owner The recovered address from the specified signature.
                  function recoverOrderSigner(
                      GPv2Order.Data memory order,
                      Scheme signingScheme,
                      bytes calldata signature
                  ) internal view returns (bytes32 orderDigest, address owner) {
                      orderDigest = order.hash(domainSeparator);
                      if (signingScheme == Scheme.Eip712) {
                          owner = recoverEip712Signer(orderDigest, signature);
                      } else if (signingScheme == Scheme.EthSign) {
                          owner = recoverEthsignSigner(orderDigest, signature);
                      } else if (signingScheme == Scheme.Eip1271) {
                          owner = recoverEip1271Signer(orderDigest, signature);
                      } else {
                          // signingScheme == Scheme.PreSign
                          owner = recoverPreSigner(orderDigest, signature, order.validTo);
                      }
                  }
                  /// @dev Perform an ECDSA recover for the specified message and calldata
                  /// signature.
                  ///
                  /// The signature is encoded by tighyly packing the following struct:
                  /// ```
                  /// struct EncodedSignature {
                  ///     bytes32 r;
                  ///     bytes32 s;
                  ///     uint8 v;
                  /// }
                  /// ```
                  ///
                  /// @param message The signed message.
                  /// @param encodedSignature The encoded signature.
                  function ecdsaRecover(bytes32 message, bytes calldata encodedSignature)
                      internal
                      pure
                      returns (address signer)
                  {
                      require(
                          encodedSignature.length == ECDSA_SIGNATURE_LENGTH,
                          "GPv2: malformed ecdsa signature"
                      );
                      bytes32 r;
                      bytes32 s;
                      uint8 v;
                      // NOTE: Use assembly to efficiently decode signature data.
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          // r = uint256(encodedSignature[0:32])
                          r := calldataload(encodedSignature.offset)
                          // s = uint256(encodedSignature[32:64])
                          s := calldataload(add(encodedSignature.offset, 32))
                          // v = uint8(encodedSignature[64])
                          v := shr(248, calldataload(add(encodedSignature.offset, 64)))
                      }
                      signer = ecrecover(message, v, r, s);
                      require(signer != address(0), "GPv2: invalid ecdsa signature");
                  }
                  /// @dev Decodes signature bytes originating from an EIP-712-encoded
                  /// signature.
                  ///
                  /// EIP-712 signs typed data. The specifications are described in the
                  /// related EIP (<https://eips.ethereum.org/EIPS/eip-712>).
                  ///
                  /// EIP-712 signatures are encoded as standard ECDSA signatures as described
                  /// in the corresponding decoding function [`ecdsaRecover`].
                  ///
                  /// @param orderDigest The EIP-712 signing digest derived from the order
                  /// parameters.
                  /// @param encodedSignature Calldata pointing to tightly packed signature
                  /// bytes.
                  /// @return owner The address of the signer.
                  function recoverEip712Signer(
                      bytes32 orderDigest,
                      bytes calldata encodedSignature
                  ) internal pure returns (address owner) {
                      owner = ecdsaRecover(orderDigest, encodedSignature);
                  }
                  /// @dev Decodes signature bytes originating from the output of the eth_sign
                  /// RPC call.
                  ///
                  /// The specifications are described in the Ethereum documentation
                  /// (<https://eth.wiki/json-rpc/API#eth_sign>).
                  ///
                  /// eth_sign signatures are encoded as standard ECDSA signatures as
                  /// described in the corresponding decoding function
                  /// [`ecdsaRecover`].
                  ///
                  /// @param orderDigest The EIP-712 signing digest derived from the order
                  /// parameters.
                  /// @param encodedSignature Calldata pointing to tightly packed signature
                  /// bytes.
                  /// @return owner The address of the signer.
                  function recoverEthsignSigner(
                      bytes32 orderDigest,
                      bytes calldata encodedSignature
                  ) internal pure returns (address owner) {
                      // The signed message is encoded as:
                      // `"\\x19Ethereum Signed Message:\
              " || length || data`, where
                      // the length is a constant (32 bytes) and the data is defined as:
                      // `orderDigest`.
                      bytes32 ethsignDigest =
                          keccak256(
                              abi.encodePacked(
                                  "\\x19Ethereum Signed Message:\
              32",
                                  orderDigest
                              )
                          );
                      owner = ecdsaRecover(ethsignDigest, encodedSignature);
                  }
                  /// @dev Verifies the input calldata as an EIP-1271 contract signature and
                  /// returns the address of the signer.
                  ///
                  /// The encoded signature tightly packs the following struct:
                  ///
                  /// ```
                  /// struct EncodedEip1271Signature {
                  ///     address owner;
                  ///     bytes signature;
                  /// }
                  /// ```
                  ///
                  /// This function enforces that the encoded data stores enough bytes to
                  /// cover the full length of the decoded signature.
                  ///
                  /// @param encodedSignature The encoded EIP-1271 signature.
                  /// @param orderDigest The EIP-712 signing digest derived from the order
                  /// parameters.
                  /// @return owner The address of the signer.
                  function recoverEip1271Signer(
                      bytes32 orderDigest,
                      bytes calldata encodedSignature
                  ) internal view returns (address owner) {
                      // NOTE: Use assembly to read the verifier address from the encoded
                      // signature bytes.
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          // owner = address(encodedSignature[0:20])
                          owner := shr(96, calldataload(encodedSignature.offset))
                      }
                      // NOTE: Configure prettier to ignore the following line as it causes
                      // a panic in the Solidity plugin.
                      // prettier-ignore
                      bytes calldata signature = encodedSignature[20:];
                      require(
                          EIP1271Verifier(owner).isValidSignature(orderDigest, signature) ==
                              GPv2EIP1271.MAGICVALUE,
                          "GPv2: invalid eip1271 signature"
                      );
                  }
                  /// @dev Verifies the order has been pre-signed. The signature is the
                  /// address of the signer of the order.
                  ///
                  /// @param orderDigest The EIP-712 signing digest derived from the order
                  /// parameters.
                  /// @param encodedSignature The pre-sign signature reprenting the order UID.
                  /// @param validTo The order expiry timestamp.
                  /// @return owner The address of the signer.
                  function recoverPreSigner(
                      bytes32 orderDigest,
                      bytes calldata encodedSignature,
                      uint32 validTo
                  ) internal view returns (address owner) {
                      require(encodedSignature.length == 20, "GPv2: malformed presignature");
                      // NOTE: Use assembly to read the owner address from the encoded
                      // signature bytes.
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          // owner = address(encodedSignature[0:20])
                          owner := shr(96, calldataload(encodedSignature.offset))
                      }
                      bytes memory orderUid = new bytes(GPv2Order.UID_LENGTH);
                      orderUid.packOrderUidParams(orderDigest, owner, validTo);
                      require(
                          preSignature[orderUid] == PRE_SIGNED,
                          "GPv2: order not presigned"
                      );
                  }
              }
              // SPDX-License-Identifier: MIT
              // Vendored from OpenZeppelin contracts with minor modifications:
              // - Modified Solidity version
              // - Formatted code
              // <https://github.com/OpenZeppelin/openzeppelin-contracts/blob/v3.4.0/contracts/utils/ReentrancyGuard.sol>
              pragma solidity ^0.7.6;
              /**
               * @dev Contract module that helps prevent reentrant calls to a function.
               *
               * Inheriting from `ReentrancyGuard` will make the {nonReentrant} modifier
               * available, which can be applied to functions to make sure there are no nested
               * (reentrant) calls to them.
               *
               * Note that because there is a single `nonReentrant` guard, functions marked as
               * `nonReentrant` may not call one another. This can be worked around by making
               * those functions `private`, and then adding `external` `nonReentrant` entry
               * points to them.
               *
               * TIP: If you would like to learn more about reentrancy and alternative ways
               * to protect against it, check out our blog post
               * https://blog.openzeppelin.com/reentrancy-after-istanbul/[Reentrancy After Istanbul].
               */
              abstract contract ReentrancyGuard {
                  // Booleans are more expensive than uint256 or any type that takes up a full
                  // word because each write operation emits an extra SLOAD to first read the
                  // slot's contents, replace the bits taken up by the boolean, and then write
                  // back. This is the compiler's defense against contract upgrades and
                  // pointer aliasing, and it cannot be disabled.
                  // The values being non-zero value makes deployment a bit more expensive,
                  // but in exchange the refund on every call to nonReentrant will be lower in
                  // amount. Since refunds are capped to a percentage of the total
                  // transaction's gas, it is best to keep them low in cases like this one, to
                  // increase the likelihood of the full refund coming into effect.
                  uint256 private constant _NOT_ENTERED = 1;
                  uint256 private constant _ENTERED = 2;
                  uint256 private _status;
                  constructor() {
                      _status = _NOT_ENTERED;
                  }
                  /**
                   * @dev Prevents a contract from calling itself, directly or indirectly.
                   * Calling a `nonReentrant` function from another `nonReentrant`
                   * function is not supported. It is possible to prevent this from happening
                   * by making the `nonReentrant` function external, and make it call a
                   * `private` function that does the actual work.
                   */
                  modifier nonReentrant() {
                      // On the first call to nonReentrant, _notEntered will be true
                      require(_status != _ENTERED, "ReentrancyGuard: reentrant call");
                      // Any calls to nonReentrant after this point will fail
                      _status = _ENTERED;
                      _;
                      // By storing the original value once again, a refund is triggered (see
                      // https://eips.ethereum.org/EIPS/eip-2200)
                      _status = _NOT_ENTERED;
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              import "../interfaces/IERC20.sol";
              /// @title Gnosis Protocol v2 Safe ERC20 Transfer Library
              /// @author Gnosis Developers
              /// @dev Gas-efficient version of Openzeppelin's SafeERC20 contract that notably
              /// does not revert when calling a non-contract.
              library GPv2SafeERC20 {
                  /// @dev Wrapper around a call to the ERC20 function `transfer` that reverts
                  /// also when the token returns `false`.
                  function safeTransfer(
                      IERC20 token,
                      address to,
                      uint256 value
                  ) internal {
                      bytes4 selector_ = token.transfer.selector;
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          let freeMemoryPointer := mload(0x40)
                          mstore(freeMemoryPointer, selector_)
                          mstore(
                              add(freeMemoryPointer, 4),
                              and(to, 0xffffffffffffffffffffffffffffffffffffffff)
                          )
                          mstore(add(freeMemoryPointer, 36), value)
                          if iszero(call(gas(), token, 0, freeMemoryPointer, 68, 0, 0)) {
                              returndatacopy(0, 0, returndatasize())
                              revert(0, returndatasize())
                          }
                      }
                      require(getLastTansferResult(token), "GPv2: failed transfer");
                  }
                  /// @dev Wrapper around a call to the ERC20 function `transferFrom` that
                  /// reverts also when the token returns `false`.
                  function safeTransferFrom(
                      IERC20 token,
                      address from,
                      address to,
                      uint256 value
                  ) internal {
                      bytes4 selector_ = token.transferFrom.selector;
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          let freeMemoryPointer := mload(0x40)
                          mstore(freeMemoryPointer, selector_)
                          mstore(
                              add(freeMemoryPointer, 4),
                              and(from, 0xffffffffffffffffffffffffffffffffffffffff)
                          )
                          mstore(
                              add(freeMemoryPointer, 36),
                              and(to, 0xffffffffffffffffffffffffffffffffffffffff)
                          )
                          mstore(add(freeMemoryPointer, 68), value)
                          if iszero(call(gas(), token, 0, freeMemoryPointer, 100, 0, 0)) {
                              returndatacopy(0, 0, returndatasize())
                              revert(0, returndatasize())
                          }
                      }
                      require(getLastTansferResult(token), "GPv2: failed transferFrom");
                  }
                  /// @dev Verifies that the last return was a successful `transfer*` call.
                  /// This is done by checking that the return data is either empty, or
                  /// is a valid ABI encoded boolean.
                  function getLastTansferResult(IERC20 token)
                      private
                      view
                      returns (bool success)
                  {
                      // NOTE: Inspecting previous return data requires assembly. Note that
                      // we write the return data to memory 0 in the case where the return
                      // data size is 32, this is OK since the first 64 bytes of memory are
                      // reserved by Solidy as a scratch space that can be used within
                      // assembly blocks.
                      // <https://docs.soliditylang.org/en/v0.7.6/internals/layout_in_memory.html>
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          /// @dev Revert with an ABI encoded Solidity error with a message
                          /// that fits into 32-bytes.
                          ///
                          /// An ABI encoded Solidity error has the following memory layout:
                          ///
                          /// ------------+----------------------------------
                          ///  byte range | value
                          /// ------------+----------------------------------
                          ///  0x00..0x04 |        selector("Error(string)")
                          ///  0x04..0x24 |      string offset (always 0x20)
                          ///  0x24..0x44 |                    string length
                          ///  0x44..0x64 | string value, padded to 32-bytes
                          function revertWithMessage(length, message) {
                              mstore(0x00, "\\x08\\xc3\\x79\\xa0")
                              mstore(0x04, 0x20)
                              mstore(0x24, length)
                              mstore(0x44, message)
                              revert(0x00, 0x64)
                          }
                          switch returndatasize()
                              // Non-standard ERC20 transfer without return.
                              case 0 {
                                  // NOTE: When the return data size is 0, verify that there
                                  // is code at the address. This is done in order to maintain
                                  // compatibility with Solidity calling conventions.
                                  // <https://docs.soliditylang.org/en/v0.7.6/control-structures.html#external-function-calls>
                                  if iszero(extcodesize(token)) {
                                      revertWithMessage(20, "GPv2: not a contract")
                                  }
                                  success := 1
                              }
                              // Standard ERC20 transfer returning boolean success value.
                              case 32 {
                                  returndatacopy(0, 0, returndatasize())
                                  // NOTE: For ABI encoding v1, any non-zero value is accepted
                                  // as `true` for a boolean. In order to stay compatible with
                                  // OpenZeppelin's `SafeERC20` library which is known to work
                                  // with the existing ERC20 implementation we care about,
                                  // make sure we return success for any non-zero return value
                                  // from the `transfer*` call.
                                  success := iszero(iszero(mload(0)))
                              }
                              default {
                                  revertWithMessage(31, "GPv2: malformed transfer result")
                              }
                      }
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              library GPv2EIP1271 {
                  /// @dev Value returned by a call to `isValidSignature` if the signature
                  /// was verified successfully. The value is defined in EIP-1271 as:
                  /// bytes4(keccak256("isValidSignature(bytes32,bytes)"))
                  bytes4 internal constant MAGICVALUE = 0x1626ba7e;
              }
              /// @title EIP1271 Interface
              /// @dev Standardized interface for an implementation of smart contract
              /// signatures as described in EIP-1271. The code that follows is identical to
              /// the code in the standard with the exception of formatting and syntax
              /// changes to adapt the code to our Solidity version.
              interface EIP1271Verifier {
                  /// @dev Should return whether the signature provided is valid for the
                  /// provided data
                  /// @param _hash      Hash of the data to be signed
                  /// @param _signature Signature byte array associated with _data
                  ///
                  /// MUST return the bytes4 magic value 0x1626ba7e when function passes.
                  /// MUST NOT modify state (using STATICCALL for solc < 0.5, view modifier for
                  /// solc > 0.5)
                  /// MUST allow external calls
                  ///
                  function isValidSignature(bytes32 _hash, bytes memory _signature)
                      external
                      view
                      returns (bytes4 magicValue);
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              pragma abicoder v2;
              import "../interfaces/GPv2EIP1271.sol";
              import "../interfaces/IERC20.sol";
              import "../libraries/GPv2Order.sol";
              import "../libraries/GPv2SafeERC20.sol";
              import "../libraries/SafeMath.sol";
              import "../GPv2Settlement.sol";
              /// @title Proof of Concept Smart Order
              /// @author Gnosis Developers
              contract SmartSellOrder is EIP1271Verifier {
                  using GPv2Order for GPv2Order.Data;
                  using GPv2SafeERC20 for IERC20;
                  using SafeMath for uint256;
                  bytes32 public constant APPDATA = keccak256("SmartSellOrder");
                  address public immutable owner;
                  bytes32 public immutable domainSeparator;
                  IERC20 public immutable sellToken;
                  IERC20 public immutable buyToken;
                  uint256 public immutable totalSellAmount;
                  uint256 public immutable totalFeeAmount;
                  uint32 public immutable validTo;
                  constructor(
                      GPv2Settlement settlement,
                      IERC20 sellToken_,
                      IERC20 buyToken_,
                      uint32 validTo_,
                      uint256 totalSellAmount_,
                      uint256 totalFeeAmount_
                  ) {
                      owner = msg.sender;
                      domainSeparator = settlement.domainSeparator();
                      sellToken = sellToken_;
                      buyToken = buyToken_;
                      validTo = validTo_;
                      totalSellAmount = totalSellAmount_;
                      totalFeeAmount = totalFeeAmount_;
                      sellToken_.approve(
                          address(settlement.vaultRelayer()),
                          type(uint256).max
                      );
                  }
                  modifier onlyOwner {
                      require(msg.sender == owner, "not owner");
                      _;
                  }
                  function withdraw(uint256 amount) external onlyOwner {
                      sellToken.safeTransfer(owner, amount);
                  }
                  function close() external onlyOwner {
                      uint256 balance = sellToken.balanceOf(address(this));
                      if (balance != 0) {
                          sellToken.safeTransfer(owner, balance);
                      }
                      selfdestruct(payable(owner));
                  }
                  function isValidSignature(bytes32 hash, bytes memory signature)
                      external
                      view
                      override
                      returns (bytes4 magicValue)
                  {
                      uint256 sellAmount = abi.decode(signature, (uint256));
                      GPv2Order.Data memory order = orderForSellAmount(sellAmount);
                      if (order.hash(domainSeparator) == hash) {
                          magicValue = GPv2EIP1271.MAGICVALUE;
                      }
                  }
                  function orderForSellAmount(uint256 sellAmount)
                      public
                      view
                      returns (GPv2Order.Data memory order)
                  {
                      order.sellToken = sellToken;
                      order.buyToken = buyToken;
                      order.receiver = owner;
                      order.sellAmount = sellAmount;
                      order.buyAmount = buyAmountForSellAmount(sellAmount);
                      order.validTo = validTo;
                      order.appData = APPDATA;
                      order.feeAmount = totalFeeAmount.mul(sellAmount).div(totalSellAmount);
                      order.kind = GPv2Order.KIND_SELL;
                      // NOTE: We counter-intuitively set `partiallyFillable` to `false`, even
                      // if the smart order as a whole acts like a partially fillable order.
                      // This is done since, once a settlement commits to a specific sell
                      // amount, then it is expected to use it completely and not partially.
                      order.partiallyFillable = false;
                      order.sellTokenBalance = GPv2Order.BALANCE_ERC20;
                      order.buyTokenBalance = GPv2Order.BALANCE_ERC20;
                  }
                  function buyAmountForSellAmount(uint256 sellAmount)
                      private
                      view
                      returns (uint256 buyAmount)
                  {
                      uint256 feeAdjustedBalance =
                          sellToken.balanceOf(address(this)).mul(totalSellAmount).div(
                              totalSellAmount.add(totalFeeAmount)
                          );
                      uint256 soldAmount =
                          totalSellAmount > feeAdjustedBalance
                              ? totalSellAmount - feeAdjustedBalance
                              : 0;
                      // NOTE: This is currently a silly price strategy where the xrate
                      // increases linearly from 1:1 to 1:2 as the smart order gets filled.
                      // This can be extended to more complex "price curves".
                      buyAmount = sellAmount
                          .mul(totalSellAmount.add(sellAmount).add(soldAmount))
                          .div(totalSellAmount);
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              import "../libraries/SafeMath.sol";
              abstract contract NonStandardERC20 {
                  using SafeMath for uint256;
                  mapping(address => uint256) public balanceOf;
                  mapping(address => mapping(address => uint256)) public allowance;
                  function mint(address to, uint256 amount) external {
                      balanceOf[to] = balanceOf[to].add(amount);
                  }
                  function approve(address spender, uint256 amount) external {
                      allowance[msg.sender][spender] = amount;
                  }
                  function transfer_(address to, uint256 amount) internal {
                      balanceOf[msg.sender] = balanceOf[msg.sender].sub(amount);
                      balanceOf[to] = balanceOf[to].add(amount);
                  }
                  function transferFrom_(
                      address from,
                      address to,
                      uint256 amount
                  ) internal {
                      allowance[from][msg.sender] = allowance[from][msg.sender].sub(amount);
                      balanceOf[from] = balanceOf[from].sub(amount);
                      balanceOf[to] = balanceOf[to].add(amount);
                  }
              }
              contract ERC20NoReturn is NonStandardERC20 {
                  function transfer(address to, uint256 amount) external {
                      transfer_(to, amount);
                  }
                  function transferFrom(
                      address from,
                      address to,
                      uint256 amount
                  ) external {
                      transferFrom_(from, to, amount);
                  }
              }
              contract ERC20ReturningUint is NonStandardERC20 {
                  // Largest 256-bit prime :)
                  uint256 private constant OK =
                      115792089237316195423570985008687907853269984665640564039457584007913129639747;
                  function transfer(address to, uint256 amount) external returns (uint256) {
                      transfer_(to, amount);
                      return OK;
                  }
                  function transferFrom(
                      address from,
                      address to,
                      uint256 amount
                  ) external returns (uint256) {
                      transferFrom_(from, to, amount);
                      return OK;
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              pragma abicoder v2;
              import "../interfaces/IERC20.sol";
              import "../libraries/GPv2SafeERC20.sol";
              contract GPv2SafeERC20TestInterface {
                  using GPv2SafeERC20 for IERC20;
                  function transfer(
                      IERC20 token,
                      address to,
                      uint256 value
                  ) public {
                      token.safeTransfer(to, value);
                  }
                  function transferFrom(
                      IERC20 token,
                      address from,
                      address to,
                      uint256 value
                  ) public {
                      token.safeTransferFrom(from, to, value);
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              pragma abicoder v2;
              import "../libraries/GPv2Order.sol";
              import "../libraries/GPv2Trade.sol";
              contract GPv2TradeTestInterface {
                  function extractOrderTest(
                      IERC20[] calldata tokens,
                      GPv2Trade.Data calldata trade
                  ) external pure returns (GPv2Order.Data memory order) {
                      GPv2Trade.extractOrder(trade, tokens, order);
                  }
                  function extractFlagsTest(uint256 flags)
                      external
                      pure
                      returns (
                          bytes32 kind,
                          bool partiallyFillable,
                          bytes32 sellTokenBalance,
                          bytes32 buyTokenBalance,
                          GPv2Signing.Scheme signingScheme
                      )
                  {
                      return GPv2Trade.extractFlags(flags);
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              pragma abicoder v2;
              import "../libraries/GPv2Order.sol";
              import "../libraries/GPv2Trade.sol";
              import "../mixins/GPv2Signing.sol";
              contract GPv2SigningTestInterface is GPv2Signing {
                  function recoverOrderFromTradeTest(
                      IERC20[] calldata tokens,
                      GPv2Trade.Data calldata trade
                  ) external view returns (RecoveredOrder memory recoveredOrder) {
                      recoveredOrder = allocateRecoveredOrder();
                      recoverOrderFromTrade(recoveredOrder, tokens, trade);
                  }
                  function recoverOrderSignerTest(
                      GPv2Order.Data memory order,
                      GPv2Signing.Scheme signingScheme,
                      bytes calldata signature
                  ) external view returns (address owner) {
                      (, owner) = recoverOrderSigner(order, signingScheme, signature);
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              import "../interfaces/GPv2EIP1271.sol";
              /// @dev This contract implements the standard described in EIP-1271 with the
              /// minor change that the verification function changes the state. This is
              /// forbidden by the standard specifications.
              contract StateChangingEIP1271 {
                  uint256 public state = 0;
                  // solhint-disable-next-line no-unused-vars
                  function isValidSignature(bytes32 _hash, bytes memory _signature)
                      public
                      returns (bytes4 magicValue)
                  {
                      state += 1;
                      magicValue = GPv2EIP1271.MAGICVALUE;
                      // The following lines are here to suppress no-unused-var compiler-time
                      // warnings when compiling the contracts. The warning is forwarded by
                      // Hardhat from Solc. It is currently not possible to selectively
                      // ignore Solc warinings:
                      // <https://github.com/ethereum/solidity/issues/269>
                      _hash;
                      _signature;
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              pragma abicoder v2;
              import "../libraries/GPv2Order.sol";
              contract GPv2OrderTestInterface {
                  using GPv2Order for GPv2Order.Data;
                  using GPv2Order for bytes;
                  function typeHashTest() external pure returns (bytes32) {
                      return GPv2Order.TYPE_HASH;
                  }
                  function hashTest(GPv2Order.Data memory order, bytes32 domainSeparator)
                      external
                      pure
                      returns (bytes32 orderDigest)
                  {
                      orderDigest = order.hash(domainSeparator);
                  }
                  function packOrderUidParamsTest(
                      uint256 bufferLength,
                      bytes32 orderDigest,
                      address owner,
                      uint32 validTo
                  ) external pure returns (bytes memory orderUid) {
                      orderUid = new bytes(bufferLength);
                      orderUid.packOrderUidParams(orderDigest, owner, validTo);
                  }
                  function extractOrderUidParamsTest(bytes calldata orderUid)
                      external
                      pure
                      returns (
                          bytes32 orderDigest,
                          address owner,
                          uint32 validTo
                      )
                  {
                      return orderUid.extractOrderUidParams();
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              pragma abicoder v2;
              import "../libraries/GPv2Transfer.sol";
              contract GPv2TransferTestInterface {
                  function fastTransferFromAccountTest(
                      IVault vault,
                      GPv2Transfer.Data calldata transfer,
                      address recipient
                  ) external {
                      GPv2Transfer.fastTransferFromAccount(vault, transfer, recipient);
                  }
                  function transferFromAccountsTest(
                      IVault vault,
                      GPv2Transfer.Data[] calldata transfers,
                      address recipient
                  ) external {
                      GPv2Transfer.transferFromAccounts(vault, transfers, recipient);
                  }
                  function transferToAccountsTest(
                      IVault vault,
                      GPv2Transfer.Data[] memory transfers
                  ) external {
                      GPv2Transfer.transferToAccounts(vault, transfers);
                  }
                  // solhint-disable-next-line no-empty-blocks
                  receive() external payable {}
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              pragma abicoder v2;
              import "../GPv2Settlement.sol";
              import "../libraries/GPv2Interaction.sol";
              import "../libraries/GPv2Trade.sol";
              import "../libraries/GPv2Transfer.sol";
              contract GPv2SettlementTestInterface is GPv2Settlement {
                  constructor(GPv2Authentication authenticator_, IVault vault)
                      GPv2Settlement(authenticator_, vault)
                  // solhint-disable-next-line no-empty-blocks
                  {
                  }
                  function setFilledAmount(bytes calldata orderUid, uint256 amount) external {
                      filledAmount[orderUid] = amount;
                  }
                  function computeTradeExecutionsTest(
                      IERC20[] calldata tokens,
                      uint256[] calldata clearingPrices,
                      GPv2Trade.Data[] calldata trades
                  )
                      external
                      returns (
                          GPv2Transfer.Data[] memory inTransfers,
                          GPv2Transfer.Data[] memory outTransfers
                      )
                  {
                      (inTransfers, outTransfers) = computeTradeExecutions(
                          tokens,
                          clearingPrices,
                          trades
                      );
                  }
                  function computeTradeExecutionMemoryTest() external returns (uint256 mem) {
                      RecoveredOrder memory recoveredOrder;
                      GPv2Transfer.Data memory inTransfer;
                      GPv2Transfer.Data memory outTransfer;
                      // NOTE: Solidity stores the free memory pointer at address 0x40. Read
                      // it before and after calling `processOrder` to ensure that there are
                      // no memory allocations.
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          mem := mload(0x40)
                      }
                      // solhint-disable-next-line not-rely-on-time
                      recoveredOrder.data.validTo = uint32(block.timestamp);
                      computeTradeExecution(recoveredOrder, 1, 1, 0, inTransfer, outTransfer);
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          mem := sub(mload(0x40), mem)
                      }
                  }
                  function executeInteractionsTest(
                      GPv2Interaction.Data[] calldata interactions
                  ) external {
                      executeInteractions(interactions);
                  }
                  function freeFilledAmountStorageTest(bytes[] calldata orderUids) external {
                      this.freeFilledAmountStorage(orderUids);
                  }
                  function freePreSignatureStorageTest(bytes[] calldata orderUids) external {
                      this.freePreSignatureStorage(orderUids);
                  }
              }
              // SPDX-License-Identifier: LGPL-3.0-or-later
              pragma solidity ^0.7.6;
              pragma abicoder v2;
              import "../libraries/GPv2Interaction.sol";
              contract GPv2InteractionTestInterface {
                  // solhint-disable-next-line no-empty-blocks
                  receive() external payable {}
                  function executeTest(GPv2Interaction.Data calldata interaction) external {
                      GPv2Interaction.execute(interaction);
                  }
                  function selectorTest(GPv2Interaction.Data calldata interaction)
                      external
                      pure
                      returns (bytes4)
                  {
                      return GPv2Interaction.selector(interaction);
                  }
              }
              

              File 8 of 8: UniswapV2Router02
              pragma solidity =0.6.6;
              
              interface IUniswapV2Factory {
                  event PairCreated(address indexed token0, address indexed token1, address pair, uint);
              
                  function feeTo() external view returns (address);
                  function feeToSetter() external view returns (address);
              
                  function getPair(address tokenA, address tokenB) external view returns (address pair);
                  function allPairs(uint) external view returns (address pair);
                  function allPairsLength() external view returns (uint);
              
                  function createPair(address tokenA, address tokenB) external returns (address pair);
              
                  function setFeeTo(address) external;
                  function setFeeToSetter(address) external;
              }
              
              interface IUniswapV2Pair {
                  event Approval(address indexed owner, address indexed spender, uint value);
                  event Transfer(address indexed from, address indexed to, uint value);
              
                  function name() external pure returns (string memory);
                  function symbol() external pure returns (string memory);
                  function decimals() external pure returns (uint8);
                  function totalSupply() external view returns (uint);
                  function balanceOf(address owner) external view returns (uint);
                  function allowance(address owner, address spender) external view returns (uint);
              
                  function approve(address spender, uint value) external returns (bool);
                  function transfer(address to, uint value) external returns (bool);
                  function transferFrom(address from, address to, uint value) external returns (bool);
              
                  function DOMAIN_SEPARATOR() external view returns (bytes32);
                  function PERMIT_TYPEHASH() external pure returns (bytes32);
                  function nonces(address owner) external view returns (uint);
              
                  function permit(address owner, address spender, uint value, uint deadline, uint8 v, bytes32 r, bytes32 s) external;
              
                  event Mint(address indexed sender, uint amount0, uint amount1);
                  event Burn(address indexed sender, uint amount0, uint amount1, address indexed to);
                  event Swap(
                      address indexed sender,
                      uint amount0In,
                      uint amount1In,
                      uint amount0Out,
                      uint amount1Out,
                      address indexed to
                  );
                  event Sync(uint112 reserve0, uint112 reserve1);
              
                  function MINIMUM_LIQUIDITY() external pure returns (uint);
                  function factory() external view returns (address);
                  function token0() external view returns (address);
                  function token1() external view returns (address);
                  function getReserves() external view returns (uint112 reserve0, uint112 reserve1, uint32 blockTimestampLast);
                  function price0CumulativeLast() external view returns (uint);
                  function price1CumulativeLast() external view returns (uint);
                  function kLast() external view returns (uint);
              
                  function mint(address to) external returns (uint liquidity);
                  function burn(address to) external returns (uint amount0, uint amount1);
                  function swap(uint amount0Out, uint amount1Out, address to, bytes calldata data) external;
                  function skim(address to) external;
                  function sync() external;
              
                  function initialize(address, address) external;
              }
              
              interface IUniswapV2Router01 {
                  function factory() external pure returns (address);
                  function WETH() external pure returns (address);
              
                  function addLiquidity(
                      address tokenA,
                      address tokenB,
                      uint amountADesired,
                      uint amountBDesired,
                      uint amountAMin,
                      uint amountBMin,
                      address to,
                      uint deadline
                  ) external returns (uint amountA, uint amountB, uint liquidity);
                  function addLiquidityETH(
                      address token,
                      uint amountTokenDesired,
                      uint amountTokenMin,
                      uint amountETHMin,
                      address to,
                      uint deadline
                  ) external payable returns (uint amountToken, uint amountETH, uint liquidity);
                  function removeLiquidity(
                      address tokenA,
                      address tokenB,
                      uint liquidity,
                      uint amountAMin,
                      uint amountBMin,
                      address to,
                      uint deadline
                  ) external returns (uint amountA, uint amountB);
                  function removeLiquidityETH(
                      address token,
                      uint liquidity,
                      uint amountTokenMin,
                      uint amountETHMin,
                      address to,
                      uint deadline
                  ) external returns (uint amountToken, uint amountETH);
                  function removeLiquidityWithPermit(
                      address tokenA,
                      address tokenB,
                      uint liquidity,
                      uint amountAMin,
                      uint amountBMin,
                      address to,
                      uint deadline,
                      bool approveMax, uint8 v, bytes32 r, bytes32 s
                  ) external returns (uint amountA, uint amountB);
                  function removeLiquidityETHWithPermit(
                      address token,
                      uint liquidity,
                      uint amountTokenMin,
                      uint amountETHMin,
                      address to,
                      uint deadline,
                      bool approveMax, uint8 v, bytes32 r, bytes32 s
                  ) external returns (uint amountToken, uint amountETH);
                  function swapExactTokensForTokens(
                      uint amountIn,
                      uint amountOutMin,
                      address[] calldata path,
                      address to,
                      uint deadline
                  ) external returns (uint[] memory amounts);
                  function swapTokensForExactTokens(
                      uint amountOut,
                      uint amountInMax,
                      address[] calldata path,
                      address to,
                      uint deadline
                  ) external returns (uint[] memory amounts);
                  function swapExactETHForTokens(uint amountOutMin, address[] calldata path, address to, uint deadline)
                      external
                      payable
                      returns (uint[] memory amounts);
                  function swapTokensForExactETH(uint amountOut, uint amountInMax, address[] calldata path, address to, uint deadline)
                      external
                      returns (uint[] memory amounts);
                  function swapExactTokensForETH(uint amountIn, uint amountOutMin, address[] calldata path, address to, uint deadline)
                      external
                      returns (uint[] memory amounts);
                  function swapETHForExactTokens(uint amountOut, address[] calldata path, address to, uint deadline)
                      external
                      payable
                      returns (uint[] memory amounts);
              
                  function quote(uint amountA, uint reserveA, uint reserveB) external pure returns (uint amountB);
                  function getAmountOut(uint amountIn, uint reserveIn, uint reserveOut) external pure returns (uint amountOut);
                  function getAmountIn(uint amountOut, uint reserveIn, uint reserveOut) external pure returns (uint amountIn);
                  function getAmountsOut(uint amountIn, address[] calldata path) external view returns (uint[] memory amounts);
                  function getAmountsIn(uint amountOut, address[] calldata path) external view returns (uint[] memory amounts);
              }
              
              interface IUniswapV2Router02 is IUniswapV2Router01 {
                  function removeLiquidityETHSupportingFeeOnTransferTokens(
                      address token,
                      uint liquidity,
                      uint amountTokenMin,
                      uint amountETHMin,
                      address to,
                      uint deadline
                  ) external returns (uint amountETH);
                  function removeLiquidityETHWithPermitSupportingFeeOnTransferTokens(
                      address token,
                      uint liquidity,
                      uint amountTokenMin,
                      uint amountETHMin,
                      address to,
                      uint deadline,
                      bool approveMax, uint8 v, bytes32 r, bytes32 s
                  ) external returns (uint amountETH);
              
                  function swapExactTokensForTokensSupportingFeeOnTransferTokens(
                      uint amountIn,
                      uint amountOutMin,
                      address[] calldata path,
                      address to,
                      uint deadline
                  ) external;
                  function swapExactETHForTokensSupportingFeeOnTransferTokens(
                      uint amountOutMin,
                      address[] calldata path,
                      address to,
                      uint deadline
                  ) external payable;
                  function swapExactTokensForETHSupportingFeeOnTransferTokens(
                      uint amountIn,
                      uint amountOutMin,
                      address[] calldata path,
                      address to,
                      uint deadline
                  ) external;
              }
              
              interface IERC20 {
                  event Approval(address indexed owner, address indexed spender, uint value);
                  event Transfer(address indexed from, address indexed to, uint value);
              
                  function name() external view returns (string memory);
                  function symbol() external view returns (string memory);
                  function decimals() external view returns (uint8);
                  function totalSupply() external view returns (uint);
                  function balanceOf(address owner) external view returns (uint);
                  function allowance(address owner, address spender) external view returns (uint);
              
                  function approve(address spender, uint value) external returns (bool);
                  function transfer(address to, uint value) external returns (bool);
                  function transferFrom(address from, address to, uint value) external returns (bool);
              }
              
              interface IWETH {
                  function deposit() external payable;
                  function transfer(address to, uint value) external returns (bool);
                  function withdraw(uint) external;
              }
              
              contract UniswapV2Router02 is IUniswapV2Router02 {
                  using SafeMath for uint;
              
                  address public immutable override factory;
                  address public immutable override WETH;
              
                  modifier ensure(uint deadline) {
                      require(deadline >= block.timestamp, 'UniswapV2Router: EXPIRED');
                      _;
                  }
              
                  constructor(address _factory, address _WETH) public {
                      factory = _factory;
                      WETH = _WETH;
                  }
              
                  receive() external payable {
                      assert(msg.sender == WETH); // only accept ETH via fallback from the WETH contract
                  }
              
                  // **** ADD LIQUIDITY ****
                  function _addLiquidity(
                      address tokenA,
                      address tokenB,
                      uint amountADesired,
                      uint amountBDesired,
                      uint amountAMin,
                      uint amountBMin
                  ) internal virtual returns (uint amountA, uint amountB) {
                      // create the pair if it doesn't exist yet
                      if (IUniswapV2Factory(factory).getPair(tokenA, tokenB) == address(0)) {
                          IUniswapV2Factory(factory).createPair(tokenA, tokenB);
                      }
                      (uint reserveA, uint reserveB) = UniswapV2Library.getReserves(factory, tokenA, tokenB);
                      if (reserveA == 0 && reserveB == 0) {
                          (amountA, amountB) = (amountADesired, amountBDesired);
                      } else {
                          uint amountBOptimal = UniswapV2Library.quote(amountADesired, reserveA, reserveB);
                          if (amountBOptimal <= amountBDesired) {
                              require(amountBOptimal >= amountBMin, 'UniswapV2Router: INSUFFICIENT_B_AMOUNT');
                              (amountA, amountB) = (amountADesired, amountBOptimal);
                          } else {
                              uint amountAOptimal = UniswapV2Library.quote(amountBDesired, reserveB, reserveA);
                              assert(amountAOptimal <= amountADesired);
                              require(amountAOptimal >= amountAMin, 'UniswapV2Router: INSUFFICIENT_A_AMOUNT');
                              (amountA, amountB) = (amountAOptimal, amountBDesired);
                          }
                      }
                  }
                  function addLiquidity(
                      address tokenA,
                      address tokenB,
                      uint amountADesired,
                      uint amountBDesired,
                      uint amountAMin,
                      uint amountBMin,
                      address to,
                      uint deadline
                  ) external virtual override ensure(deadline) returns (uint amountA, uint amountB, uint liquidity) {
                      (amountA, amountB) = _addLiquidity(tokenA, tokenB, amountADesired, amountBDesired, amountAMin, amountBMin);
                      address pair = UniswapV2Library.pairFor(factory, tokenA, tokenB);
                      TransferHelper.safeTransferFrom(tokenA, msg.sender, pair, amountA);
                      TransferHelper.safeTransferFrom(tokenB, msg.sender, pair, amountB);
                      liquidity = IUniswapV2Pair(pair).mint(to);
                  }
                  function addLiquidityETH(
                      address token,
                      uint amountTokenDesired,
                      uint amountTokenMin,
                      uint amountETHMin,
                      address to,
                      uint deadline
                  ) external virtual override payable ensure(deadline) returns (uint amountToken, uint amountETH, uint liquidity) {
                      (amountToken, amountETH) = _addLiquidity(
                          token,
                          WETH,
                          amountTokenDesired,
                          msg.value,
                          amountTokenMin,
                          amountETHMin
                      );
                      address pair = UniswapV2Library.pairFor(factory, token, WETH);
                      TransferHelper.safeTransferFrom(token, msg.sender, pair, amountToken);
                      IWETH(WETH).deposit{value: amountETH}();
                      assert(IWETH(WETH).transfer(pair, amountETH));
                      liquidity = IUniswapV2Pair(pair).mint(to);
                      // refund dust eth, if any
                      if (msg.value > amountETH) TransferHelper.safeTransferETH(msg.sender, msg.value - amountETH);
                  }
              
                  // **** REMOVE LIQUIDITY ****
                  function removeLiquidity(
                      address tokenA,
                      address tokenB,
                      uint liquidity,
                      uint amountAMin,
                      uint amountBMin,
                      address to,
                      uint deadline
                  ) public virtual override ensure(deadline) returns (uint amountA, uint amountB) {
                      address pair = UniswapV2Library.pairFor(factory, tokenA, tokenB);
                      IUniswapV2Pair(pair).transferFrom(msg.sender, pair, liquidity); // send liquidity to pair
                      (uint amount0, uint amount1) = IUniswapV2Pair(pair).burn(to);
                      (address token0,) = UniswapV2Library.sortTokens(tokenA, tokenB);
                      (amountA, amountB) = tokenA == token0 ? (amount0, amount1) : (amount1, amount0);
                      require(amountA >= amountAMin, 'UniswapV2Router: INSUFFICIENT_A_AMOUNT');
                      require(amountB >= amountBMin, 'UniswapV2Router: INSUFFICIENT_B_AMOUNT');
                  }
                  function removeLiquidityETH(
                      address token,
                      uint liquidity,
                      uint amountTokenMin,
                      uint amountETHMin,
                      address to,
                      uint deadline
                  ) public virtual override ensure(deadline) returns (uint amountToken, uint amountETH) {
                      (amountToken, amountETH) = removeLiquidity(
                          token,
                          WETH,
                          liquidity,
                          amountTokenMin,
                          amountETHMin,
                          address(this),
                          deadline
                      );
                      TransferHelper.safeTransfer(token, to, amountToken);
                      IWETH(WETH).withdraw(amountETH);
                      TransferHelper.safeTransferETH(to, amountETH);
                  }
                  function removeLiquidityWithPermit(
                      address tokenA,
                      address tokenB,
                      uint liquidity,
                      uint amountAMin,
                      uint amountBMin,
                      address to,
                      uint deadline,
                      bool approveMax, uint8 v, bytes32 r, bytes32 s
                  ) external virtual override returns (uint amountA, uint amountB) {
                      address pair = UniswapV2Library.pairFor(factory, tokenA, tokenB);
                      uint value = approveMax ? uint(-1) : liquidity;
                      IUniswapV2Pair(pair).permit(msg.sender, address(this), value, deadline, v, r, s);
                      (amountA, amountB) = removeLiquidity(tokenA, tokenB, liquidity, amountAMin, amountBMin, to, deadline);
                  }
                  function removeLiquidityETHWithPermit(
                      address token,
                      uint liquidity,
                      uint amountTokenMin,
                      uint amountETHMin,
                      address to,
                      uint deadline,
                      bool approveMax, uint8 v, bytes32 r, bytes32 s
                  ) external virtual override returns (uint amountToken, uint amountETH) {
                      address pair = UniswapV2Library.pairFor(factory, token, WETH);
                      uint value = approveMax ? uint(-1) : liquidity;
                      IUniswapV2Pair(pair).permit(msg.sender, address(this), value, deadline, v, r, s);
                      (amountToken, amountETH) = removeLiquidityETH(token, liquidity, amountTokenMin, amountETHMin, to, deadline);
                  }
              
                  // **** REMOVE LIQUIDITY (supporting fee-on-transfer tokens) ****
                  function removeLiquidityETHSupportingFeeOnTransferTokens(
                      address token,
                      uint liquidity,
                      uint amountTokenMin,
                      uint amountETHMin,
                      address to,
                      uint deadline
                  ) public virtual override ensure(deadline) returns (uint amountETH) {
                      (, amountETH) = removeLiquidity(
                          token,
                          WETH,
                          liquidity,
                          amountTokenMin,
                          amountETHMin,
                          address(this),
                          deadline
                      );
                      TransferHelper.safeTransfer(token, to, IERC20(token).balanceOf(address(this)));
                      IWETH(WETH).withdraw(amountETH);
                      TransferHelper.safeTransferETH(to, amountETH);
                  }
                  function removeLiquidityETHWithPermitSupportingFeeOnTransferTokens(
                      address token,
                      uint liquidity,
                      uint amountTokenMin,
                      uint amountETHMin,
                      address to,
                      uint deadline,
                      bool approveMax, uint8 v, bytes32 r, bytes32 s
                  ) external virtual override returns (uint amountETH) {
                      address pair = UniswapV2Library.pairFor(factory, token, WETH);
                      uint value = approveMax ? uint(-1) : liquidity;
                      IUniswapV2Pair(pair).permit(msg.sender, address(this), value, deadline, v, r, s);
                      amountETH = removeLiquidityETHSupportingFeeOnTransferTokens(
                          token, liquidity, amountTokenMin, amountETHMin, to, deadline
                      );
                  }
              
                  // **** SWAP ****
                  // requires the initial amount to have already been sent to the first pair
                  function _swap(uint[] memory amounts, address[] memory path, address _to) internal virtual {
                      for (uint i; i < path.length - 1; i++) {
                          (address input, address output) = (path[i], path[i + 1]);
                          (address token0,) = UniswapV2Library.sortTokens(input, output);
                          uint amountOut = amounts[i + 1];
                          (uint amount0Out, uint amount1Out) = input == token0 ? (uint(0), amountOut) : (amountOut, uint(0));
                          address to = i < path.length - 2 ? UniswapV2Library.pairFor(factory, output, path[i + 2]) : _to;
                          IUniswapV2Pair(UniswapV2Library.pairFor(factory, input, output)).swap(
                              amount0Out, amount1Out, to, new bytes(0)
                          );
                      }
                  }
                  function swapExactTokensForTokens(
                      uint amountIn,
                      uint amountOutMin,
                      address[] calldata path,
                      address to,
                      uint deadline
                  ) external virtual override ensure(deadline) returns (uint[] memory amounts) {
                      amounts = UniswapV2Library.getAmountsOut(factory, amountIn, path);
                      require(amounts[amounts.length - 1] >= amountOutMin, 'UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT');
                      TransferHelper.safeTransferFrom(
                          path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]
                      );
                      _swap(amounts, path, to);
                  }
                  function swapTokensForExactTokens(
                      uint amountOut,
                      uint amountInMax,
                      address[] calldata path,
                      address to,
                      uint deadline
                  ) external virtual override ensure(deadline) returns (uint[] memory amounts) {
                      amounts = UniswapV2Library.getAmountsIn(factory, amountOut, path);
                      require(amounts[0] <= amountInMax, 'UniswapV2Router: EXCESSIVE_INPUT_AMOUNT');
                      TransferHelper.safeTransferFrom(
                          path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]
                      );
                      _swap(amounts, path, to);
                  }
                  function swapExactETHForTokens(uint amountOutMin, address[] calldata path, address to, uint deadline)
                      external
                      virtual
                      override
                      payable
                      ensure(deadline)
                      returns (uint[] memory amounts)
                  {
                      require(path[0] == WETH, 'UniswapV2Router: INVALID_PATH');
                      amounts = UniswapV2Library.getAmountsOut(factory, msg.value, path);
                      require(amounts[amounts.length - 1] >= amountOutMin, 'UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT');
                      IWETH(WETH).deposit{value: amounts[0]}();
                      assert(IWETH(WETH).transfer(UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]));
                      _swap(amounts, path, to);
                  }
                  function swapTokensForExactETH(uint amountOut, uint amountInMax, address[] calldata path, address to, uint deadline)
                      external
                      virtual
                      override
                      ensure(deadline)
                      returns (uint[] memory amounts)
                  {
                      require(path[path.length - 1] == WETH, 'UniswapV2Router: INVALID_PATH');
                      amounts = UniswapV2Library.getAmountsIn(factory, amountOut, path);
                      require(amounts[0] <= amountInMax, 'UniswapV2Router: EXCESSIVE_INPUT_AMOUNT');
                      TransferHelper.safeTransferFrom(
                          path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]
                      );
                      _swap(amounts, path, address(this));
                      IWETH(WETH).withdraw(amounts[amounts.length - 1]);
                      TransferHelper.safeTransferETH(to, amounts[amounts.length - 1]);
                  }
                  function swapExactTokensForETH(uint amountIn, uint amountOutMin, address[] calldata path, address to, uint deadline)
                      external
                      virtual
                      override
                      ensure(deadline)
                      returns (uint[] memory amounts)
                  {
                      require(path[path.length - 1] == WETH, 'UniswapV2Router: INVALID_PATH');
                      amounts = UniswapV2Library.getAmountsOut(factory, amountIn, path);
                      require(amounts[amounts.length - 1] >= amountOutMin, 'UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT');
                      TransferHelper.safeTransferFrom(
                          path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]
                      );
                      _swap(amounts, path, address(this));
                      IWETH(WETH).withdraw(amounts[amounts.length - 1]);
                      TransferHelper.safeTransferETH(to, amounts[amounts.length - 1]);
                  }
                  function swapETHForExactTokens(uint amountOut, address[] calldata path, address to, uint deadline)
                      external
                      virtual
                      override
                      payable
                      ensure(deadline)
                      returns (uint[] memory amounts)
                  {
                      require(path[0] == WETH, 'UniswapV2Router: INVALID_PATH');
                      amounts = UniswapV2Library.getAmountsIn(factory, amountOut, path);
                      require(amounts[0] <= msg.value, 'UniswapV2Router: EXCESSIVE_INPUT_AMOUNT');
                      IWETH(WETH).deposit{value: amounts[0]}();
                      assert(IWETH(WETH).transfer(UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]));
                      _swap(amounts, path, to);
                      // refund dust eth, if any
                      if (msg.value > amounts[0]) TransferHelper.safeTransferETH(msg.sender, msg.value - amounts[0]);
                  }
              
                  // **** SWAP (supporting fee-on-transfer tokens) ****
                  // requires the initial amount to have already been sent to the first pair
                  function _swapSupportingFeeOnTransferTokens(address[] memory path, address _to) internal virtual {
                      for (uint i; i < path.length - 1; i++) {
                          (address input, address output) = (path[i], path[i + 1]);
                          (address token0,) = UniswapV2Library.sortTokens(input, output);
                          IUniswapV2Pair pair = IUniswapV2Pair(UniswapV2Library.pairFor(factory, input, output));
                          uint amountInput;
                          uint amountOutput;
                          { // scope to avoid stack too deep errors
                          (uint reserve0, uint reserve1,) = pair.getReserves();
                          (uint reserveInput, uint reserveOutput) = input == token0 ? (reserve0, reserve1) : (reserve1, reserve0);
                          amountInput = IERC20(input).balanceOf(address(pair)).sub(reserveInput);
                          amountOutput = UniswapV2Library.getAmountOut(amountInput, reserveInput, reserveOutput);
                          }
                          (uint amount0Out, uint amount1Out) = input == token0 ? (uint(0), amountOutput) : (amountOutput, uint(0));
                          address to = i < path.length - 2 ? UniswapV2Library.pairFor(factory, output, path[i + 2]) : _to;
                          pair.swap(amount0Out, amount1Out, to, new bytes(0));
                      }
                  }
                  function swapExactTokensForTokensSupportingFeeOnTransferTokens(
                      uint amountIn,
                      uint amountOutMin,
                      address[] calldata path,
                      address to,
                      uint deadline
                  ) external virtual override ensure(deadline) {
                      TransferHelper.safeTransferFrom(
                          path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amountIn
                      );
                      uint balanceBefore = IERC20(path[path.length - 1]).balanceOf(to);
                      _swapSupportingFeeOnTransferTokens(path, to);
                      require(
                          IERC20(path[path.length - 1]).balanceOf(to).sub(balanceBefore) >= amountOutMin,
                          'UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT'
                      );
                  }
                  function swapExactETHForTokensSupportingFeeOnTransferTokens(
                      uint amountOutMin,
                      address[] calldata path,
                      address to,
                      uint deadline
                  )
                      external
                      virtual
                      override
                      payable
                      ensure(deadline)
                  {
                      require(path[0] == WETH, 'UniswapV2Router: INVALID_PATH');
                      uint amountIn = msg.value;
                      IWETH(WETH).deposit{value: amountIn}();
                      assert(IWETH(WETH).transfer(UniswapV2Library.pairFor(factory, path[0], path[1]), amountIn));
                      uint balanceBefore = IERC20(path[path.length - 1]).balanceOf(to);
                      _swapSupportingFeeOnTransferTokens(path, to);
                      require(
                          IERC20(path[path.length - 1]).balanceOf(to).sub(balanceBefore) >= amountOutMin,
                          'UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT'
                      );
                  }
                  function swapExactTokensForETHSupportingFeeOnTransferTokens(
                      uint amountIn,
                      uint amountOutMin,
                      address[] calldata path,
                      address to,
                      uint deadline
                  )
                      external
                      virtual
                      override
                      ensure(deadline)
                  {
                      require(path[path.length - 1] == WETH, 'UniswapV2Router: INVALID_PATH');
                      TransferHelper.safeTransferFrom(
                          path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amountIn
                      );
                      _swapSupportingFeeOnTransferTokens(path, address(this));
                      uint amountOut = IERC20(WETH).balanceOf(address(this));
                      require(amountOut >= amountOutMin, 'UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT');
                      IWETH(WETH).withdraw(amountOut);
                      TransferHelper.safeTransferETH(to, amountOut);
                  }
              
                  // **** LIBRARY FUNCTIONS ****
                  function quote(uint amountA, uint reserveA, uint reserveB) public pure virtual override returns (uint amountB) {
                      return UniswapV2Library.quote(amountA, reserveA, reserveB);
                  }
              
                  function getAmountOut(uint amountIn, uint reserveIn, uint reserveOut)
                      public
                      pure
                      virtual
                      override
                      returns (uint amountOut)
                  {
                      return UniswapV2Library.getAmountOut(amountIn, reserveIn, reserveOut);
                  }
              
                  function getAmountIn(uint amountOut, uint reserveIn, uint reserveOut)
                      public
                      pure
                      virtual
                      override
                      returns (uint amountIn)
                  {
                      return UniswapV2Library.getAmountIn(amountOut, reserveIn, reserveOut);
                  }
              
                  function getAmountsOut(uint amountIn, address[] memory path)
                      public
                      view
                      virtual
                      override
                      returns (uint[] memory amounts)
                  {
                      return UniswapV2Library.getAmountsOut(factory, amountIn, path);
                  }
              
                  function getAmountsIn(uint amountOut, address[] memory path)
                      public
                      view
                      virtual
                      override
                      returns (uint[] memory amounts)
                  {
                      return UniswapV2Library.getAmountsIn(factory, amountOut, path);
                  }
              }
              
              // a library for performing overflow-safe math, courtesy of DappHub (https://github.com/dapphub/ds-math)
              
              library SafeMath {
                  function add(uint x, uint y) internal pure returns (uint z) {
                      require((z = x + y) >= x, 'ds-math-add-overflow');
                  }
              
                  function sub(uint x, uint y) internal pure returns (uint z) {
                      require((z = x - y) <= x, 'ds-math-sub-underflow');
                  }
              
                  function mul(uint x, uint y) internal pure returns (uint z) {
                      require(y == 0 || (z = x * y) / y == x, 'ds-math-mul-overflow');
                  }
              }
              
              library UniswapV2Library {
                  using SafeMath for uint;
              
                  // returns sorted token addresses, used to handle return values from pairs sorted in this order
                  function sortTokens(address tokenA, address tokenB) internal pure returns (address token0, address token1) {
                      require(tokenA != tokenB, 'UniswapV2Library: IDENTICAL_ADDRESSES');
                      (token0, token1) = tokenA < tokenB ? (tokenA, tokenB) : (tokenB, tokenA);
                      require(token0 != address(0), 'UniswapV2Library: ZERO_ADDRESS');
                  }
              
                  // calculates the CREATE2 address for a pair without making any external calls
                  function pairFor(address factory, address tokenA, address tokenB) internal pure returns (address pair) {
                      (address token0, address token1) = sortTokens(tokenA, tokenB);
                      pair = address(uint(keccak256(abi.encodePacked(
                              hex'ff',
                              factory,
                              keccak256(abi.encodePacked(token0, token1)),
                              hex'96e8ac4277198ff8b6f785478aa9a39f403cb768dd02cbee326c3e7da348845f' // init code hash
                          ))));
                  }
              
                  // fetches and sorts the reserves for a pair
                  function getReserves(address factory, address tokenA, address tokenB) internal view returns (uint reserveA, uint reserveB) {
                      (address token0,) = sortTokens(tokenA, tokenB);
                      (uint reserve0, uint reserve1,) = IUniswapV2Pair(pairFor(factory, tokenA, tokenB)).getReserves();
                      (reserveA, reserveB) = tokenA == token0 ? (reserve0, reserve1) : (reserve1, reserve0);
                  }
              
                  // given some amount of an asset and pair reserves, returns an equivalent amount of the other asset
                  function quote(uint amountA, uint reserveA, uint reserveB) internal pure returns (uint amountB) {
                      require(amountA > 0, 'UniswapV2Library: INSUFFICIENT_AMOUNT');
                      require(reserveA > 0 && reserveB > 0, 'UniswapV2Library: INSUFFICIENT_LIQUIDITY');
                      amountB = amountA.mul(reserveB) / reserveA;
                  }
              
                  // given an input amount of an asset and pair reserves, returns the maximum output amount of the other asset
                  function getAmountOut(uint amountIn, uint reserveIn, uint reserveOut) internal pure returns (uint amountOut) {
                      require(amountIn > 0, 'UniswapV2Library: INSUFFICIENT_INPUT_AMOUNT');
                      require(reserveIn > 0 && reserveOut > 0, 'UniswapV2Library: INSUFFICIENT_LIQUIDITY');
                      uint amountInWithFee = amountIn.mul(997);
                      uint numerator = amountInWithFee.mul(reserveOut);
                      uint denominator = reserveIn.mul(1000).add(amountInWithFee);
                      amountOut = numerator / denominator;
                  }
              
                  // given an output amount of an asset and pair reserves, returns a required input amount of the other asset
                  function getAmountIn(uint amountOut, uint reserveIn, uint reserveOut) internal pure returns (uint amountIn) {
                      require(amountOut > 0, 'UniswapV2Library: INSUFFICIENT_OUTPUT_AMOUNT');
                      require(reserveIn > 0 && reserveOut > 0, 'UniswapV2Library: INSUFFICIENT_LIQUIDITY');
                      uint numerator = reserveIn.mul(amountOut).mul(1000);
                      uint denominator = reserveOut.sub(amountOut).mul(997);
                      amountIn = (numerator / denominator).add(1);
                  }
              
                  // performs chained getAmountOut calculations on any number of pairs
                  function getAmountsOut(address factory, uint amountIn, address[] memory path) internal view returns (uint[] memory amounts) {
                      require(path.length >= 2, 'UniswapV2Library: INVALID_PATH');
                      amounts = new uint[](path.length);
                      amounts[0] = amountIn;
                      for (uint i; i < path.length - 1; i++) {
                          (uint reserveIn, uint reserveOut) = getReserves(factory, path[i], path[i + 1]);
                          amounts[i + 1] = getAmountOut(amounts[i], reserveIn, reserveOut);
                      }
                  }
              
                  // performs chained getAmountIn calculations on any number of pairs
                  function getAmountsIn(address factory, uint amountOut, address[] memory path) internal view returns (uint[] memory amounts) {
                      require(path.length >= 2, 'UniswapV2Library: INVALID_PATH');
                      amounts = new uint[](path.length);
                      amounts[amounts.length - 1] = amountOut;
                      for (uint i = path.length - 1; i > 0; i--) {
                          (uint reserveIn, uint reserveOut) = getReserves(factory, path[i - 1], path[i]);
                          amounts[i - 1] = getAmountIn(amounts[i], reserveIn, reserveOut);
                      }
                  }
              }
              
              // helper methods for interacting with ERC20 tokens and sending ETH that do not consistently return true/false
              library TransferHelper {
                  function safeApprove(address token, address to, uint value) internal {
                      // bytes4(keccak256(bytes('approve(address,uint256)')));
                      (bool success, bytes memory data) = token.call(abi.encodeWithSelector(0x095ea7b3, to, value));
                      require(success && (data.length == 0 || abi.decode(data, (bool))), 'TransferHelper: APPROVE_FAILED');
                  }
              
                  function safeTransfer(address token, address to, uint value) internal {
                      // bytes4(keccak256(bytes('transfer(address,uint256)')));
                      (bool success, bytes memory data) = token.call(abi.encodeWithSelector(0xa9059cbb, to, value));
                      require(success && (data.length == 0 || abi.decode(data, (bool))), 'TransferHelper: TRANSFER_FAILED');
                  }
              
                  function safeTransferFrom(address token, address from, address to, uint value) internal {
                      // bytes4(keccak256(bytes('transferFrom(address,address,uint256)')));
                      (bool success, bytes memory data) = token.call(abi.encodeWithSelector(0x23b872dd, from, to, value));
                      require(success && (data.length == 0 || abi.decode(data, (bool))), 'TransferHelper: TRANSFER_FROM_FAILED');
                  }
              
                  function safeTransferETH(address to, uint value) internal {
                      (bool success,) = to.call{value:value}(new bytes(0));
                      require(success, 'TransferHelper: ETH_TRANSFER_FAILED');
                  }
              }