ETH Price: $2,567.18 (+1.94%)

Transaction Decoder

Block:
21925198 at Feb-25-2025 06:40:59 PM +UTC
Transaction Fee:
0.00054969769580292 ETH $1.41
Gas Used:
277,515 Gas / 1.980785528 Gwei

Emitted Events:

165 Permit2.Permit( owner=[Sender] 0x32270e494f29b22921125e0c7a515a2385026122, token=MiniMeToken, spender=[Receiver] UniversalRouter, amount=912891233100000000000, expiration=1743100822, nonce=1 )
166 WETH9.Transfer( src=0xeC2061372a02D5e416F5D8905eea64Cab2c10970, dst=[Receiver] UniversalRouter, wad=110310158834820191 )
167 MiniMeToken.Transfer( _from=[Sender] 0x32270e494f29b22921125e0c7a515a2385026122, _to=0xeC2061372a02D5e416F5D8905eea64Cab2c10970, _amount=912891233100000000000 )
168 0xec2061372a02d5e416f5d8905eea64cab2c10970.0xc42079f94a6350d7e6235f29174924f928cc2ac818eb64fed8004e115fbcca67( 0xc42079f94a6350d7e6235f29174924f928cc2ac818eb64fed8004e115fbcca67, 0x0000000000000000000000003fc91a3afd70395cd496c647d5a6cc9d4b2b7fad, 0x0000000000000000000000003fc91a3afd70395cd496c647d5a6cc9d4b2b7fad, fffffffffffffffffffffffffffffffffffffffffffffffffe78197eb7889ba1, 0000000000000000000000000000000000000000000000317ce92bcca5d1f800, 000000000000000000000000000000000000005a8b2da61cb506d323494a6575, 00000000000000000000000000000000000000000000034f57fe99c112b71b18, 0000000000000000000000000000000000000000000000000000000000016009 )
169 TetherToken.Transfer( from=UniswapV3Pool, to=[Sender] 0x32270e494f29b22921125e0c7a515a2385026122, value=266860935 )
170 WETH9.Transfer( src=[Receiver] UniversalRouter, dst=UniswapV3Pool, wad=110310158834820191 )
171 UniswapV3Pool.Swap( sender=[Receiver] UniversalRouter, recipient=[Sender] 0x32270e494f29b22921125e0c7a515a2385026122, amount0=110310158834820191, amount1=-266860935, sqrtPriceX96=3897826617633727830368633, liquidity=2841754413340548831, tick=-198404 )

Account State Difference:

  Address   Before After State Difference Code
0x00000000...43aC78BA3
(Uniswap Protocol: Permit2)
0x11b815ef...14B7697F6
(Uniswap V3: USDT 3)
0x32270E49...385026122
0.295532647743800284 Eth
Nonce: 53
0.294982950047997364 Eth
Nonce: 54
0.00054969769580292
(Titan Builder)
10.687788477639011805 Eth10.68794742172469712 Eth0.000158944085685315
0xC02aaA39...83C756Cc2
0xD101dCC4...FA507F571
0xdAC17F95...13D831ec7
0xeC206137...ab2c10970
(Uniswap V3: RSC)

Execution Trace

UniversalRouter.execute( commands=0x0A00, inputs=[AAAAAAAAAAAAAAAA0QHcxBTzECaMN+60zTdsz6UH9XEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADF86SvMpdH4AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABn5ZuWAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAA/yRo6/XA5XNSWxkfVpsydSyt/rQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABnvhWeAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAOAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQZy1TRvb9T/lkSvqoK2LWdUOlbt2294NF1+amlH94zC1dqhCbe/NvdmMpEH+YDumBDPlcE6w3GuYUkzp6irygEsbAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA==, AAAAAAAAAAAAAAAAMicOSU8psikhEl4MelFaI4UCYSIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADF86SvMpdH4AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAPzb73AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAKAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABC0QHcxBTzECaMN+60zTdsz6UH9XEAJxDAKqo5siP+jQoOXE8n6tkIPHVswgAB9NrBf5WNLuUjoiBiBplFl8E9gx7HAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA], deadline=1740510642 )
  • Permit2.permit( owner=0x32270E494F29b22921125E0c7a515a2385026122, permitSingle=[{name:details, type:tuple, order:1, indexed:false, value:[{name:token, type:address, order:1, indexed:false, value:0xD101dCC414F310268c37eEb4cD376CcFA507F571, valueString:0xD101dCC414F310268c37eEb4cD376CcFA507F571}, {name:amount, type:uint160, order:2, indexed:false, value:912891233100000000000, valueString:912891233100000000000}, {name:expiration, type:uint48, order:3, indexed:false, value:1743100822, valueString:1743100822}, {name:nonce, type:uint48, order:4, indexed:false, value:1, valueString:1}], valueString:[{name:token, type:address, order:1, indexed:false, value:0xD101dCC414F310268c37eEb4cD376CcFA507F571, valueString:0xD101dCC414F310268c37eEb4cD376CcFA507F571}, {name:amount, type:uint160, order:2, indexed:false, value:912891233100000000000, valueString:912891233100000000000}, {name:expiration, type:uint48, order:3, indexed:false, value:1743100822, valueString:1743100822}, {name:nonce, type:uint48, order:4, indexed:false, value:1, valueString:1}]}, {name:spender, type:address, order:2, indexed:false, value:0x3fC91A3afd70395Cd496C647d5a6CC9D4B2b7FAD, valueString:0x3fC91A3afd70395Cd496C647d5a6CC9D4B2b7FAD}, {name:sigDeadline, type:uint256, order:3, indexed:false, value:1740510622, valueString:1740510622}], signature=0x9CB54D1BDBF53FE5912BEAA0AD8B59D50E95BB76DBDE0D175F9A9A51FDE330B576A8426DEFCDBDD98CA441FE603BA60433E5704EB0DC6B98524CE9EA2AF2804B1B )
    • Null: 0x000...001.7660e3f7( )
    • Uniswap V3: RSC.128acb08( )
      • WETH9.transfer( dst=0x3fC91A3afd70395Cd496C647d5a6CC9D4B2b7FAD, wad=110310158834820191 ) => ( True )
      • MiniMeToken.balanceOf( _owner=0xeC2061372a02D5e416F5D8905eea64Cab2c10970 ) => ( balance=2051862817491760671808501 )
      • UniversalRouter.uniswapV3SwapCallback( amount0Delta=-110310158834820191, amount1Delta=912891233100000000000, data=0x000000000000000000000000000000000000000000000000000000000000004000000000000000000000000032270E494F29B22921125E0C7A515A2385026122000000000000000000000000000000000000000000000000000000000000002BD101DCC414F310268C37EEB4CD376CCFA507F571002710C02AAA39B223FE8D0A0E5C4F27EAD9083C756CC2000000000000000000000000000000000000000000 )
        • Permit2.transferFrom( from=0x32270E494F29b22921125E0c7a515a2385026122, to=0xeC2061372a02D5e416F5D8905eea64Cab2c10970, amount=912891233100000000000, token=0xD101dCC414F310268c37eEb4cD376CcFA507F571 )
          • MiniMeToken.transferFrom( _from=0x32270E494F29b22921125E0c7a515a2385026122, _to=0xeC2061372a02D5e416F5D8905eea64Cab2c10970, _amount=912891233100000000000 ) => ( success=True )
            • MiniMeTokenController.onTransfer( 0x32270E494F29b22921125E0c7a515a2385026122, 0xeC2061372a02D5e416F5D8905eea64Cab2c10970, 912891233100000000000 ) => ( True )
            • MiniMeToken.balanceOf( _owner=0xeC2061372a02D5e416F5D8905eea64Cab2c10970 ) => ( balance=2052775708724860671808501 )
            • UniswapV3Pool.swap( recipient=0x32270E494F29b22921125E0c7a515a2385026122, zeroForOne=True, amountSpecified=110310158834820191, sqrtPriceLimitX96=4295128740, data=0x00000000000000000000000000000000000000000000000000000000000000400000000000000000000000003FC91A3AFD70395CD496C647D5A6CC9D4B2B7FAD000000000000000000000000000000000000000000000000000000000000002BC02AAA39B223FE8D0A0E5C4F27EAD9083C756CC20001F4DAC17F958D2EE523A2206206994597C13D831EC7000000000000000000000000000000000000000000 ) => ( amount0=110310158834820191, amount1=-266860935 )
              • TetherToken.transfer( _to=0x32270E494F29b22921125E0c7a515a2385026122, _value=266860935 )
              • WETH9.balanceOf( 0x11b815efB8f581194ae79006d24E0d814B7697F6 ) => ( 15573382077920775952597 )
              • UniversalRouter.uniswapV3SwapCallback( amount0Delta=110310158834820191, amount1Delta=-266860935, data=0x00000000000000000000000000000000000000000000000000000000000000400000000000000000000000003FC91A3AFD70395CD496C647D5A6CC9D4B2B7FAD000000000000000000000000000000000000000000000000000000000000002BC02AAA39B223FE8D0A0E5C4F27EAD9083C756CC20001F4DAC17F958D2EE523A2206206994597C13D831EC7000000000000000000000000000000000000000000 )
                • WETH9.transfer( dst=0x11b815efB8f581194ae79006d24E0d814B7697F6, wad=110310158834820191 ) => ( True )
                • WETH9.balanceOf( 0x11b815efB8f581194ae79006d24E0d814B7697F6 ) => ( 15573492388079610772788 )
                  File 1 of 7: UniversalRouter
                  // SPDX-License-Identifier: GPL-3.0-or-later
                  pragma solidity ^0.8.17;
                  // Command implementations
                  import {Dispatcher} from './base/Dispatcher.sol';
                  import {RewardsCollector} from './base/RewardsCollector.sol';
                  import {RouterParameters, RouterImmutables} from './base/RouterImmutables.sol';
                  import {Commands} from './libraries/Commands.sol';
                  import {IUniversalRouter} from './interfaces/IUniversalRouter.sol';
                  contract UniversalRouter is RouterImmutables, IUniversalRouter, Dispatcher, RewardsCollector {
                      modifier checkDeadline(uint256 deadline) {
                          if (block.timestamp > deadline) revert TransactionDeadlinePassed();
                          _;
                      }
                      constructor(RouterParameters memory params) RouterImmutables(params) {}
                      /// @inheritdoc IUniversalRouter
                      function execute(bytes calldata commands, bytes[] calldata inputs, uint256 deadline)
                          external
                          payable
                          checkDeadline(deadline)
                      {
                          execute(commands, inputs);
                      }
                      /// @inheritdoc Dispatcher
                      function execute(bytes calldata commands, bytes[] calldata inputs) public payable override isNotLocked {
                          bool success;
                          bytes memory output;
                          uint256 numCommands = commands.length;
                          if (inputs.length != numCommands) revert LengthMismatch();
                          // loop through all given commands, execute them and pass along outputs as defined
                          for (uint256 commandIndex = 0; commandIndex < numCommands;) {
                              bytes1 command = commands[commandIndex];
                              bytes calldata input = inputs[commandIndex];
                              (success, output) = dispatch(command, input);
                              if (!success && successRequired(command)) {
                                  revert ExecutionFailed({commandIndex: commandIndex, message: output});
                              }
                              unchecked {
                                  commandIndex++;
                              }
                          }
                      }
                      function successRequired(bytes1 command) internal pure returns (bool) {
                          return command & Commands.FLAG_ALLOW_REVERT == 0;
                      }
                      /// @notice To receive ETH from WETH and NFT protocols
                      receive() external payable {}
                  }
                  // SPDX-License-Identifier: GPL-3.0-or-later
                  pragma solidity ^0.8.17;
                  import {V2SwapRouter} from '../modules/uniswap/v2/V2SwapRouter.sol';
                  import {V3SwapRouter} from '../modules/uniswap/v3/V3SwapRouter.sol';
                  import {BytesLib} from '../modules/uniswap/v3/BytesLib.sol';
                  import {Payments} from '../modules/Payments.sol';
                  import {RouterImmutables} from '../base/RouterImmutables.sol';
                  import {Callbacks} from '../base/Callbacks.sol';
                  import {Commands} from '../libraries/Commands.sol';
                  import {LockAndMsgSender} from './LockAndMsgSender.sol';
                  import {ERC721} from 'solmate/src/tokens/ERC721.sol';
                  import {ERC1155} from 'solmate/src/tokens/ERC1155.sol';
                  import {ERC20} from 'solmate/src/tokens/ERC20.sol';
                  import {IAllowanceTransfer} from 'permit2/src/interfaces/IAllowanceTransfer.sol';
                  import {ICryptoPunksMarket} from '../interfaces/external/ICryptoPunksMarket.sol';
                  /// @title Decodes and Executes Commands
                  /// @notice Called by the UniversalRouter contract to efficiently decode and execute a singular command
                  abstract contract Dispatcher is Payments, V2SwapRouter, V3SwapRouter, Callbacks, LockAndMsgSender {
                      using BytesLib for bytes;
                      error InvalidCommandType(uint256 commandType);
                      error BuyPunkFailed();
                      error InvalidOwnerERC721();
                      error InvalidOwnerERC1155();
                      error BalanceTooLow();
                      /// @notice Decodes and executes the given command with the given inputs
                      /// @param commandType The command type to execute
                      /// @param inputs The inputs to execute the command with
                      /// @dev 2 masks are used to enable use of a nested-if statement in execution for efficiency reasons
                      /// @return success True on success of the command, false on failure
                      /// @return output The outputs or error messages, if any, from the command
                      function dispatch(bytes1 commandType, bytes calldata inputs) internal returns (bool success, bytes memory output) {
                          uint256 command = uint8(commandType & Commands.COMMAND_TYPE_MASK);
                          success = true;
                          if (command < Commands.FOURTH_IF_BOUNDARY) {
                              if (command < Commands.SECOND_IF_BOUNDARY) {
                                  // 0x00 <= command < 0x08
                                  if (command < Commands.FIRST_IF_BOUNDARY) {
                                      if (command == Commands.V3_SWAP_EXACT_IN) {
                                          // equivalent: abi.decode(inputs, (address, uint256, uint256, bytes, bool))
                                          address recipient;
                                          uint256 amountIn;
                                          uint256 amountOutMin;
                                          bool payerIsUser;
                                          assembly {
                                              recipient := calldataload(inputs.offset)
                                              amountIn := calldataload(add(inputs.offset, 0x20))
                                              amountOutMin := calldataload(add(inputs.offset, 0x40))
                                              // 0x60 offset is the path, decoded below
                                              payerIsUser := calldataload(add(inputs.offset, 0x80))
                                          }
                                          bytes calldata path = inputs.toBytes(3);
                                          address payer = payerIsUser ? lockedBy : address(this);
                                          v3SwapExactInput(map(recipient), amountIn, amountOutMin, path, payer);
                                      } else if (command == Commands.V3_SWAP_EXACT_OUT) {
                                          // equivalent: abi.decode(inputs, (address, uint256, uint256, bytes, bool))
                                          address recipient;
                                          uint256 amountOut;
                                          uint256 amountInMax;
                                          bool payerIsUser;
                                          assembly {
                                              recipient := calldataload(inputs.offset)
                                              amountOut := calldataload(add(inputs.offset, 0x20))
                                              amountInMax := calldataload(add(inputs.offset, 0x40))
                                              // 0x60 offset is the path, decoded below
                                              payerIsUser := calldataload(add(inputs.offset, 0x80))
                                          }
                                          bytes calldata path = inputs.toBytes(3);
                                          address payer = payerIsUser ? lockedBy : address(this);
                                          v3SwapExactOutput(map(recipient), amountOut, amountInMax, path, payer);
                                      } else if (command == Commands.PERMIT2_TRANSFER_FROM) {
                                          // equivalent: abi.decode(inputs, (address, address, uint160))
                                          address token;
                                          address recipient;
                                          uint160 amount;
                                          assembly {
                                              token := calldataload(inputs.offset)
                                              recipient := calldataload(add(inputs.offset, 0x20))
                                              amount := calldataload(add(inputs.offset, 0x40))
                                          }
                                          permit2TransferFrom(token, lockedBy, map(recipient), amount);
                                      } else if (command == Commands.PERMIT2_PERMIT_BATCH) {
                                          (IAllowanceTransfer.PermitBatch memory permitBatch,) =
                                              abi.decode(inputs, (IAllowanceTransfer.PermitBatch, bytes));
                                          bytes calldata data = inputs.toBytes(1);
                                          PERMIT2.permit(lockedBy, permitBatch, data);
                                      } else if (command == Commands.SWEEP) {
                                          // equivalent:  abi.decode(inputs, (address, address, uint256))
                                          address token;
                                          address recipient;
                                          uint160 amountMin;
                                          assembly {
                                              token := calldataload(inputs.offset)
                                              recipient := calldataload(add(inputs.offset, 0x20))
                                              amountMin := calldataload(add(inputs.offset, 0x40))
                                          }
                                          Payments.sweep(token, map(recipient), amountMin);
                                      } else if (command == Commands.TRANSFER) {
                                          // equivalent:  abi.decode(inputs, (address, address, uint256))
                                          address token;
                                          address recipient;
                                          uint256 value;
                                          assembly {
                                              token := calldataload(inputs.offset)
                                              recipient := calldataload(add(inputs.offset, 0x20))
                                              value := calldataload(add(inputs.offset, 0x40))
                                          }
                                          Payments.pay(token, map(recipient), value);
                                      } else if (command == Commands.PAY_PORTION) {
                                          // equivalent:  abi.decode(inputs, (address, address, uint256))
                                          address token;
                                          address recipient;
                                          uint256 bips;
                                          assembly {
                                              token := calldataload(inputs.offset)
                                              recipient := calldataload(add(inputs.offset, 0x20))
                                              bips := calldataload(add(inputs.offset, 0x40))
                                          }
                                          Payments.payPortion(token, map(recipient), bips);
                                      } else {
                                          // placeholder area for command 0x07
                                          revert InvalidCommandType(command);
                                      }
                                      // 0x08 <= command < 0x10
                                  } else {
                                      if (command == Commands.V2_SWAP_EXACT_IN) {
                                          // equivalent: abi.decode(inputs, (address, uint256, uint256, bytes, bool))
                                          address recipient;
                                          uint256 amountIn;
                                          uint256 amountOutMin;
                                          bool payerIsUser;
                                          assembly {
                                              recipient := calldataload(inputs.offset)
                                              amountIn := calldataload(add(inputs.offset, 0x20))
                                              amountOutMin := calldataload(add(inputs.offset, 0x40))
                                              // 0x60 offset is the path, decoded below
                                              payerIsUser := calldataload(add(inputs.offset, 0x80))
                                          }
                                          address[] calldata path = inputs.toAddressArray(3);
                                          address payer = payerIsUser ? lockedBy : address(this);
                                          v2SwapExactInput(map(recipient), amountIn, amountOutMin, path, payer);
                                      } else if (command == Commands.V2_SWAP_EXACT_OUT) {
                                          // equivalent: abi.decode(inputs, (address, uint256, uint256, bytes, bool))
                                          address recipient;
                                          uint256 amountOut;
                                          uint256 amountInMax;
                                          bool payerIsUser;
                                          assembly {
                                              recipient := calldataload(inputs.offset)
                                              amountOut := calldataload(add(inputs.offset, 0x20))
                                              amountInMax := calldataload(add(inputs.offset, 0x40))
                                              // 0x60 offset is the path, decoded below
                                              payerIsUser := calldataload(add(inputs.offset, 0x80))
                                          }
                                          address[] calldata path = inputs.toAddressArray(3);
                                          address payer = payerIsUser ? lockedBy : address(this);
                                          v2SwapExactOutput(map(recipient), amountOut, amountInMax, path, payer);
                                      } else if (command == Commands.PERMIT2_PERMIT) {
                                          // equivalent: abi.decode(inputs, (IAllowanceTransfer.PermitSingle, bytes))
                                          IAllowanceTransfer.PermitSingle calldata permitSingle;
                                          assembly {
                                              permitSingle := inputs.offset
                                          }
                                          bytes calldata data = inputs.toBytes(6); // PermitSingle takes first 6 slots (0..5)
                                          PERMIT2.permit(lockedBy, permitSingle, data);
                                      } else if (command == Commands.WRAP_ETH) {
                                          // equivalent: abi.decode(inputs, (address, uint256))
                                          address recipient;
                                          uint256 amountMin;
                                          assembly {
                                              recipient := calldataload(inputs.offset)
                                              amountMin := calldataload(add(inputs.offset, 0x20))
                                          }
                                          Payments.wrapETH(map(recipient), amountMin);
                                      } else if (command == Commands.UNWRAP_WETH) {
                                          // equivalent: abi.decode(inputs, (address, uint256))
                                          address recipient;
                                          uint256 amountMin;
                                          assembly {
                                              recipient := calldataload(inputs.offset)
                                              amountMin := calldataload(add(inputs.offset, 0x20))
                                          }
                                          Payments.unwrapWETH9(map(recipient), amountMin);
                                      } else if (command == Commands.PERMIT2_TRANSFER_FROM_BATCH) {
                                          (IAllowanceTransfer.AllowanceTransferDetails[] memory batchDetails) =
                                              abi.decode(inputs, (IAllowanceTransfer.AllowanceTransferDetails[]));
                                          permit2TransferFrom(batchDetails, lockedBy);
                                      } else if (command == Commands.BALANCE_CHECK_ERC20) {
                                          // equivalent: abi.decode(inputs, (address, address, uint256))
                                          address owner;
                                          address token;
                                          uint256 minBalance;
                                          assembly {
                                              owner := calldataload(inputs.offset)
                                              token := calldataload(add(inputs.offset, 0x20))
                                              minBalance := calldataload(add(inputs.offset, 0x40))
                                          }
                                          success = (ERC20(token).balanceOf(owner) >= minBalance);
                                          if (!success) output = abi.encodePacked(BalanceTooLow.selector);
                                      } else {
                                          // placeholder area for command 0x0f
                                          revert InvalidCommandType(command);
                                      }
                                  }
                                  // 0x10 <= command
                              } else {
                                  // 0x10 <= command < 0x18
                                  if (command < Commands.THIRD_IF_BOUNDARY) {
                                      if (command == Commands.SEAPORT_V1_5) {
                                          /// @dev Seaport 1.4 and 1.5 allow for orders to be created by contracts.
                                          ///     These orders pass control to the contract offerers during fufillment,
                                          ///         allowing them to perform any number of destructive actions as a holder of the NFT.
                                          ///     Integrators should be aware that in some scenarios: e.g. purchasing an NFT that allows the holder
                                          ///         to claim another NFT, the contract offerer can "steal" the claim during order fufillment.
                                          ///     For some such purchases, an OWNER_CHECK command can be prepended to ensure that all tokens have the desired owner at the end of the transaction.
                                          ///     This is also outlined in the Seaport documentation: https://github.com/ProjectOpenSea/seaport/blob/main/docs/SeaportDocumentation.md
                                          (uint256 value, bytes calldata data) = getValueAndData(inputs);
                                          (success, output) = SEAPORT_V1_5.call{value: value}(data);
                                      } else if (command == Commands.LOOKS_RARE_V2) {
                                          // equivalent: abi.decode(inputs, (uint256, bytes))
                                          uint256 value;
                                          assembly {
                                              value := calldataload(inputs.offset)
                                          }
                                          bytes calldata data = inputs.toBytes(1);
                                          (success, output) = LOOKS_RARE_V2.call{value: value}(data);
                                      } else if (command == Commands.NFTX) {
                                          // equivalent: abi.decode(inputs, (uint256, bytes))
                                          (uint256 value, bytes calldata data) = getValueAndData(inputs);
                                          (success, output) = NFTX_ZAP.call{value: value}(data);
                                      } else if (command == Commands.CRYPTOPUNKS) {
                                          // equivalent: abi.decode(inputs, (uint256, address, uint256))
                                          uint256 punkId;
                                          address recipient;
                                          uint256 value;
                                          assembly {
                                              punkId := calldataload(inputs.offset)
                                              recipient := calldataload(add(inputs.offset, 0x20))
                                              value := calldataload(add(inputs.offset, 0x40))
                                          }
                                          (success, output) = CRYPTOPUNKS.call{value: value}(
                                              abi.encodeWithSelector(ICryptoPunksMarket.buyPunk.selector, punkId)
                                          );
                                          if (success) ICryptoPunksMarket(CRYPTOPUNKS).transferPunk(map(recipient), punkId);
                                          else output = abi.encodePacked(BuyPunkFailed.selector);
                                      } else if (command == Commands.OWNER_CHECK_721) {
                                          // equivalent: abi.decode(inputs, (address, address, uint256))
                                          address owner;
                                          address token;
                                          uint256 id;
                                          assembly {
                                              owner := calldataload(inputs.offset)
                                              token := calldataload(add(inputs.offset, 0x20))
                                              id := calldataload(add(inputs.offset, 0x40))
                                          }
                                          success = (ERC721(token).ownerOf(id) == owner);
                                          if (!success) output = abi.encodePacked(InvalidOwnerERC721.selector);
                                      } else if (command == Commands.OWNER_CHECK_1155) {
                                          // equivalent: abi.decode(inputs, (address, address, uint256, uint256))
                                          address owner;
                                          address token;
                                          uint256 id;
                                          uint256 minBalance;
                                          assembly {
                                              owner := calldataload(inputs.offset)
                                              token := calldataload(add(inputs.offset, 0x20))
                                              id := calldataload(add(inputs.offset, 0x40))
                                              minBalance := calldataload(add(inputs.offset, 0x60))
                                          }
                                          success = (ERC1155(token).balanceOf(owner, id) >= minBalance);
                                          if (!success) output = abi.encodePacked(InvalidOwnerERC1155.selector);
                                      } else if (command == Commands.SWEEP_ERC721) {
                                          // equivalent: abi.decode(inputs, (address, address, uint256))
                                          address token;
                                          address recipient;
                                          uint256 id;
                                          assembly {
                                              token := calldataload(inputs.offset)
                                              recipient := calldataload(add(inputs.offset, 0x20))
                                              id := calldataload(add(inputs.offset, 0x40))
                                          }
                                          Payments.sweepERC721(token, map(recipient), id);
                                      }
                                      // 0x18 <= command < 0x1f
                                  } else {
                                      if (command == Commands.X2Y2_721) {
                                          (success, output) = callAndTransfer721(inputs, X2Y2);
                                      } else if (command == Commands.SUDOSWAP) {
                                          // equivalent: abi.decode(inputs, (uint256, bytes))
                                          (uint256 value, bytes calldata data) = getValueAndData(inputs);
                                          (success, output) = SUDOSWAP.call{value: value}(data);
                                      } else if (command == Commands.NFT20) {
                                          // equivalent: abi.decode(inputs, (uint256, bytes))
                                          (uint256 value, bytes calldata data) = getValueAndData(inputs);
                                          (success, output) = NFT20_ZAP.call{value: value}(data);
                                      } else if (command == Commands.X2Y2_1155) {
                                          (success, output) = callAndTransfer1155(inputs, X2Y2);
                                      } else if (command == Commands.FOUNDATION) {
                                          (success, output) = callAndTransfer721(inputs, FOUNDATION);
                                      } else if (command == Commands.SWEEP_ERC1155) {
                                          // equivalent: abi.decode(inputs, (address, address, uint256, uint256))
                                          address token;
                                          address recipient;
                                          uint256 id;
                                          uint256 amount;
                                          assembly {
                                              token := calldataload(inputs.offset)
                                              recipient := calldataload(add(inputs.offset, 0x20))
                                              id := calldataload(add(inputs.offset, 0x40))
                                              amount := calldataload(add(inputs.offset, 0x60))
                                          }
                                          Payments.sweepERC1155(token, map(recipient), id, amount);
                                      } else if (command == Commands.ELEMENT_MARKET) {
                                          // equivalent: abi.decode(inputs, (uint256, bytes))
                                          (uint256 value, bytes calldata data) = getValueAndData(inputs);
                                          (success, output) = ELEMENT_MARKET.call{value: value}(data);
                                      } else {
                                          // placeholder for command 0x1f
                                          revert InvalidCommandType(command);
                                      }
                                  }
                              }
                              // 0x20 <= command
                          } else {
                              if (command == Commands.SEAPORT_V1_4) {
                                  /// @dev Seaport 1.4 and 1.5 allow for orders to be created by contracts.
                                  ///     These orders pass control to the contract offerers during fufillment,
                                  ///         allowing them to perform any number of destructive actions as a holder of the NFT.
                                  ///     Integrators should be aware that in some scenarios: e.g. purchasing an NFT that allows the holder
                                  ///         to claim another NFT, the contract offerer can "steal" the claim during order fufillment.
                                  ///     For some such purchases, an OWNER_CHECK command can be prepended to ensure that all tokens have the desired owner at the end of the transaction.
                                  ///     This is also outlined in the Seaport documentation: https://github.com/ProjectOpenSea/seaport/blob/main/docs/SeaportDocumentation.md
                                  (uint256 value, bytes calldata data) = getValueAndData(inputs);
                                  (success, output) = SEAPORT_V1_4.call{value: value}(data);
                              } else if (command == Commands.EXECUTE_SUB_PLAN) {
                                  bytes calldata _commands = inputs.toBytes(0);
                                  bytes[] calldata _inputs = inputs.toBytesArray(1);
                                  (success, output) =
                                      (address(this)).call(abi.encodeWithSelector(Dispatcher.execute.selector, _commands, _inputs));
                              } else if (command == Commands.APPROVE_ERC20) {
                                  ERC20 token;
                                  RouterImmutables.Spenders spender;
                                  assembly {
                                      token := calldataload(inputs.offset)
                                      spender := calldataload(add(inputs.offset, 0x20))
                                  }
                                  Payments.approveERC20(token, spender);
                              } else {
                                  // placeholder area for commands 0x22-0x3f
                                  revert InvalidCommandType(command);
                              }
                          }
                      }
                      /// @notice Executes encoded commands along with provided inputs.
                      /// @param commands A set of concatenated commands, each 1 byte in length
                      /// @param inputs An array of byte strings containing abi encoded inputs for each command
                      function execute(bytes calldata commands, bytes[] calldata inputs) external payable virtual;
                      /// @notice Performs a call to purchase an ERC721, then transfers the ERC721 to a specified recipient
                      /// @param inputs The inputs for the protocol and ERC721 transfer, encoded
                      /// @param protocol The protocol to pass the calldata to
                      /// @return success True on success of the command, false on failure
                      /// @return output The outputs or error messages, if any, from the command
                      function callAndTransfer721(bytes calldata inputs, address protocol)
                          internal
                          returns (bool success, bytes memory output)
                      {
                          // equivalent: abi.decode(inputs, (uint256, bytes, address, address, uint256))
                          (uint256 value, bytes calldata data) = getValueAndData(inputs);
                          address recipient;
                          address token;
                          uint256 id;
                          assembly {
                              // 0x00 and 0x20 offsets are value and data, above
                              recipient := calldataload(add(inputs.offset, 0x40))
                              token := calldataload(add(inputs.offset, 0x60))
                              id := calldataload(add(inputs.offset, 0x80))
                          }
                          (success, output) = protocol.call{value: value}(data);
                          if (success) ERC721(token).safeTransferFrom(address(this), map(recipient), id);
                      }
                      /// @notice Performs a call to purchase an ERC1155, then transfers the ERC1155 to a specified recipient
                      /// @param inputs The inputs for the protocol and ERC1155 transfer, encoded
                      /// @param protocol The protocol to pass the calldata to
                      /// @return success True on success of the command, false on failure
                      /// @return output The outputs or error messages, if any, from the command
                      function callAndTransfer1155(bytes calldata inputs, address protocol)
                          internal
                          returns (bool success, bytes memory output)
                      {
                          // equivalent: abi.decode(inputs, (uint256, bytes, address, address, uint256, uint256))
                          (uint256 value, bytes calldata data) = getValueAndData(inputs);
                          address recipient;
                          address token;
                          uint256 id;
                          uint256 amount;
                          assembly {
                              // 0x00 and 0x20 offsets are value and data, above
                              recipient := calldataload(add(inputs.offset, 0x40))
                              token := calldataload(add(inputs.offset, 0x60))
                              id := calldataload(add(inputs.offset, 0x80))
                              amount := calldataload(add(inputs.offset, 0xa0))
                          }
                          (success, output) = protocol.call{value: value}(data);
                          if (success) ERC1155(token).safeTransferFrom(address(this), map(recipient), id, amount, new bytes(0));
                      }
                      /// @notice Helper function to extract `value` and `data` parameters from input bytes string
                      /// @dev The helper assumes that `value` is the first parameter, and `data` is the second
                      /// @param inputs The bytes string beginning with value and data parameters
                      /// @return value The 256 bit integer value
                      /// @return data The data bytes string
                      function getValueAndData(bytes calldata inputs) internal pure returns (uint256 value, bytes calldata data) {
                          assembly {
                              value := calldataload(inputs.offset)
                          }
                          data = inputs.toBytes(1);
                      }
                  }
                  // SPDX-License-Identifier: GPL-3.0-or-later
                  pragma solidity ^0.8.15;
                  import {ERC20} from 'solmate/src/tokens/ERC20.sol';
                  import {SafeTransferLib} from 'solmate/src/utils/SafeTransferLib.sol';
                  import {RouterImmutables} from './RouterImmutables.sol';
                  import {IRewardsCollector} from '../interfaces/IRewardsCollector.sol';
                  abstract contract RewardsCollector is IRewardsCollector, RouterImmutables {
                      using SafeTransferLib for ERC20;
                      event RewardsSent(uint256 amount);
                      error UnableToClaim();
                      /// @inheritdoc IRewardsCollector
                      function collectRewards(bytes calldata looksRareClaim) external {
                          (bool success,) = LOOKS_RARE_REWARDS_DISTRIBUTOR.call(looksRareClaim);
                          if (!success) revert UnableToClaim();
                          uint256 balance = LOOKS_RARE_TOKEN.balanceOf(address(this));
                          LOOKS_RARE_TOKEN.transfer(ROUTER_REWARDS_DISTRIBUTOR, balance);
                          emit RewardsSent(balance);
                      }
                  }
                  // SPDX-License-Identifier: GPL-3.0-or-later
                  pragma solidity ^0.8.17;
                  import {IAllowanceTransfer} from 'permit2/src/interfaces/IAllowanceTransfer.sol';
                  import {ERC20} from 'solmate/src/tokens/ERC20.sol';
                  import {IWETH9} from '../interfaces/external/IWETH9.sol';
                  struct RouterParameters {
                      address permit2;
                      address weth9;
                      address seaportV1_5;
                      address seaportV1_4;
                      address openseaConduit;
                      address nftxZap;
                      address x2y2;
                      address foundation;
                      address sudoswap;
                      address elementMarket;
                      address nft20Zap;
                      address cryptopunks;
                      address looksRareV2;
                      address routerRewardsDistributor;
                      address looksRareRewardsDistributor;
                      address looksRareToken;
                      address v2Factory;
                      address v3Factory;
                      bytes32 pairInitCodeHash;
                      bytes32 poolInitCodeHash;
                  }
                  /// @title Router Immutable Storage contract
                  /// @notice Used along with the `RouterParameters` struct for ease of cross-chain deployment
                  contract RouterImmutables {
                      /// @dev WETH9 address
                      IWETH9 internal immutable WETH9;
                      /// @dev Permit2 address
                      IAllowanceTransfer internal immutable PERMIT2;
                      /// @dev Seaport 1.5 address
                      address internal immutable SEAPORT_V1_5;
                      /// @dev Seaport 1.4 address
                      address internal immutable SEAPORT_V1_4;
                      /// @dev The address of OpenSea's conduit used in both Seaport 1.4 and Seaport 1.5
                      address internal immutable OPENSEA_CONDUIT;
                      /// @dev The address of NFTX zap contract for interfacing with vaults
                      address internal immutable NFTX_ZAP;
                      /// @dev The address of X2Y2
                      address internal immutable X2Y2;
                      // @dev The address of Foundation
                      address internal immutable FOUNDATION;
                      // @dev The address of Sudoswap's router
                      address internal immutable SUDOSWAP;
                      // @dev The address of Element Market
                      address internal immutable ELEMENT_MARKET;
                      // @dev the address of NFT20's zap contract
                      address internal immutable NFT20_ZAP;
                      // @dev the address of Larva Lab's cryptopunks marketplace
                      address internal immutable CRYPTOPUNKS;
                      /// @dev The address of LooksRareV2
                      address internal immutable LOOKS_RARE_V2;
                      /// @dev The address of LooksRare token
                      ERC20 internal immutable LOOKS_RARE_TOKEN;
                      /// @dev The address of LooksRare rewards distributor
                      address internal immutable LOOKS_RARE_REWARDS_DISTRIBUTOR;
                      /// @dev The address of router rewards distributor
                      address internal immutable ROUTER_REWARDS_DISTRIBUTOR;
                      /// @dev The address of UniswapV2Factory
                      address internal immutable UNISWAP_V2_FACTORY;
                      /// @dev The UniswapV2Pair initcodehash
                      bytes32 internal immutable UNISWAP_V2_PAIR_INIT_CODE_HASH;
                      /// @dev The address of UniswapV3Factory
                      address internal immutable UNISWAP_V3_FACTORY;
                      /// @dev The UniswapV3Pool initcodehash
                      bytes32 internal immutable UNISWAP_V3_POOL_INIT_CODE_HASH;
                      enum Spenders {
                          OSConduit,
                          Sudoswap
                      }
                      constructor(RouterParameters memory params) {
                          PERMIT2 = IAllowanceTransfer(params.permit2);
                          WETH9 = IWETH9(params.weth9);
                          SEAPORT_V1_5 = params.seaportV1_5;
                          SEAPORT_V1_4 = params.seaportV1_4;
                          OPENSEA_CONDUIT = params.openseaConduit;
                          NFTX_ZAP = params.nftxZap;
                          X2Y2 = params.x2y2;
                          FOUNDATION = params.foundation;
                          SUDOSWAP = params.sudoswap;
                          ELEMENT_MARKET = params.elementMarket;
                          NFT20_ZAP = params.nft20Zap;
                          CRYPTOPUNKS = params.cryptopunks;
                          LOOKS_RARE_V2 = params.looksRareV2;
                          LOOKS_RARE_TOKEN = ERC20(params.looksRareToken);
                          LOOKS_RARE_REWARDS_DISTRIBUTOR = params.looksRareRewardsDistributor;
                          ROUTER_REWARDS_DISTRIBUTOR = params.routerRewardsDistributor;
                          UNISWAP_V2_FACTORY = params.v2Factory;
                          UNISWAP_V2_PAIR_INIT_CODE_HASH = params.pairInitCodeHash;
                          UNISWAP_V3_FACTORY = params.v3Factory;
                          UNISWAP_V3_POOL_INIT_CODE_HASH = params.poolInitCodeHash;
                      }
                  }
                  // SPDX-License-Identifier: GPL-3.0-or-later
                  pragma solidity ^0.8.17;
                  /// @title Commands
                  /// @notice Command Flags used to decode commands
                  library Commands {
                      // Masks to extract certain bits of commands
                      bytes1 internal constant FLAG_ALLOW_REVERT = 0x80;
                      bytes1 internal constant COMMAND_TYPE_MASK = 0x3f;
                      // Command Types. Maximum supported command at this moment is 0x3f.
                      // Command Types where value<0x08, executed in the first nested-if block
                      uint256 constant V3_SWAP_EXACT_IN = 0x00;
                      uint256 constant V3_SWAP_EXACT_OUT = 0x01;
                      uint256 constant PERMIT2_TRANSFER_FROM = 0x02;
                      uint256 constant PERMIT2_PERMIT_BATCH = 0x03;
                      uint256 constant SWEEP = 0x04;
                      uint256 constant TRANSFER = 0x05;
                      uint256 constant PAY_PORTION = 0x06;
                      // COMMAND_PLACEHOLDER = 0x07;
                      // The commands are executed in nested if blocks to minimise gas consumption
                      // The following constant defines one of the boundaries where the if blocks split commands
                      uint256 constant FIRST_IF_BOUNDARY = 0x08;
                      // Command Types where 0x08<=value<=0x0f, executed in the second nested-if block
                      uint256 constant V2_SWAP_EXACT_IN = 0x08;
                      uint256 constant V2_SWAP_EXACT_OUT = 0x09;
                      uint256 constant PERMIT2_PERMIT = 0x0a;
                      uint256 constant WRAP_ETH = 0x0b;
                      uint256 constant UNWRAP_WETH = 0x0c;
                      uint256 constant PERMIT2_TRANSFER_FROM_BATCH = 0x0d;
                      uint256 constant BALANCE_CHECK_ERC20 = 0x0e;
                      // COMMAND_PLACEHOLDER = 0x0f;
                      // The commands are executed in nested if blocks to minimise gas consumption
                      // The following constant defines one of the boundaries where the if blocks split commands
                      uint256 constant SECOND_IF_BOUNDARY = 0x10;
                      // Command Types where 0x10<=value<0x18, executed in the third nested-if block
                      uint256 constant SEAPORT_V1_5 = 0x10;
                      uint256 constant LOOKS_RARE_V2 = 0x11;
                      uint256 constant NFTX = 0x12;
                      uint256 constant CRYPTOPUNKS = 0x13;
                      // 0x14;
                      uint256 constant OWNER_CHECK_721 = 0x15;
                      uint256 constant OWNER_CHECK_1155 = 0x16;
                      uint256 constant SWEEP_ERC721 = 0x17;
                      // The commands are executed in nested if blocks to minimise gas consumption
                      // The following constant defines one of the boundaries where the if blocks split commands
                      uint256 constant THIRD_IF_BOUNDARY = 0x18;
                      // Command Types where 0x18<=value<=0x1f, executed in the final nested-if block
                      uint256 constant X2Y2_721 = 0x18;
                      uint256 constant SUDOSWAP = 0x19;
                      uint256 constant NFT20 = 0x1a;
                      uint256 constant X2Y2_1155 = 0x1b;
                      uint256 constant FOUNDATION = 0x1c;
                      uint256 constant SWEEP_ERC1155 = 0x1d;
                      uint256 constant ELEMENT_MARKET = 0x1e;
                      // COMMAND_PLACEHOLDER = 0x1f;
                      // The commands are executed in nested if blocks to minimise gas consumption
                      // The following constant defines one of the boundaries where the if blocks split commands
                      uint256 constant FOURTH_IF_BOUNDARY = 0x20;
                      // Command Types where 0x20<=value
                      uint256 constant SEAPORT_V1_4 = 0x20;
                      uint256 constant EXECUTE_SUB_PLAN = 0x21;
                      uint256 constant APPROVE_ERC20 = 0x22;
                      // COMMAND_PLACEHOLDER for 0x23 to 0x3f (all unused)
                  }
                  // SPDX-License-Identifier: GPL-3.0-or-later
                  pragma solidity ^0.8.17;
                  import {IERC721Receiver} from '@openzeppelin/contracts/token/ERC721/IERC721Receiver.sol';
                  import {IERC1155Receiver} from '@openzeppelin/contracts/token/ERC1155/IERC1155Receiver.sol';
                  import {IRewardsCollector} from './IRewardsCollector.sol';
                  interface IUniversalRouter is IRewardsCollector, IERC721Receiver, IERC1155Receiver {
                      /// @notice Thrown when a required command has failed
                      error ExecutionFailed(uint256 commandIndex, bytes message);
                      /// @notice Thrown when attempting to send ETH directly to the contract
                      error ETHNotAccepted();
                      /// @notice Thrown when executing commands with an expired deadline
                      error TransactionDeadlinePassed();
                      /// @notice Thrown when attempting to execute commands and an incorrect number of inputs are provided
                      error LengthMismatch();
                      /// @notice Executes encoded commands along with provided inputs. Reverts if deadline has expired.
                      /// @param commands A set of concatenated commands, each 1 byte in length
                      /// @param inputs An array of byte strings containing abi encoded inputs for each command
                      /// @param deadline The deadline by which the transaction must be executed
                      function execute(bytes calldata commands, bytes[] calldata inputs, uint256 deadline) external payable;
                  }
                  // SPDX-License-Identifier: GPL-3.0-or-later
                  pragma solidity ^0.8.17;
                  import {IUniswapV2Pair} from '@uniswap/v2-core/contracts/interfaces/IUniswapV2Pair.sol';
                  import {UniswapV2Library} from './UniswapV2Library.sol';
                  import {RouterImmutables} from '../../../base/RouterImmutables.sol';
                  import {Payments} from '../../Payments.sol';
                  import {Permit2Payments} from '../../Permit2Payments.sol';
                  import {Constants} from '../../../libraries/Constants.sol';
                  import {ERC20} from 'solmate/src/tokens/ERC20.sol';
                  /// @title Router for Uniswap v2 Trades
                  abstract contract V2SwapRouter is RouterImmutables, Permit2Payments {
                      error V2TooLittleReceived();
                      error V2TooMuchRequested();
                      error V2InvalidPath();
                      function _v2Swap(address[] calldata path, address recipient, address pair) private {
                          unchecked {
                              if (path.length < 2) revert V2InvalidPath();
                              // cached to save on duplicate operations
                              (address token0,) = UniswapV2Library.sortTokens(path[0], path[1]);
                              uint256 finalPairIndex = path.length - 1;
                              uint256 penultimatePairIndex = finalPairIndex - 1;
                              for (uint256 i; i < finalPairIndex; i++) {
                                  (address input, address output) = (path[i], path[i + 1]);
                                  (uint256 reserve0, uint256 reserve1,) = IUniswapV2Pair(pair).getReserves();
                                  (uint256 reserveInput, uint256 reserveOutput) =
                                      input == token0 ? (reserve0, reserve1) : (reserve1, reserve0);
                                  uint256 amountInput = ERC20(input).balanceOf(pair) - reserveInput;
                                  uint256 amountOutput = UniswapV2Library.getAmountOut(amountInput, reserveInput, reserveOutput);
                                  (uint256 amount0Out, uint256 amount1Out) =
                                      input == token0 ? (uint256(0), amountOutput) : (amountOutput, uint256(0));
                                  address nextPair;
                                  (nextPair, token0) = i < penultimatePairIndex
                                      ? UniswapV2Library.pairAndToken0For(
                                          UNISWAP_V2_FACTORY, UNISWAP_V2_PAIR_INIT_CODE_HASH, output, path[i + 2]
                                      )
                                      : (recipient, address(0));
                                  IUniswapV2Pair(pair).swap(amount0Out, amount1Out, nextPair, new bytes(0));
                                  pair = nextPair;
                              }
                          }
                      }
                      /// @notice Performs a Uniswap v2 exact input swap
                      /// @param recipient The recipient of the output tokens
                      /// @param amountIn The amount of input tokens for the trade
                      /// @param amountOutMinimum The minimum desired amount of output tokens
                      /// @param path The path of the trade as an array of token addresses
                      /// @param payer The address that will be paying the input
                      function v2SwapExactInput(
                          address recipient,
                          uint256 amountIn,
                          uint256 amountOutMinimum,
                          address[] calldata path,
                          address payer
                      ) internal {
                          address firstPair =
                              UniswapV2Library.pairFor(UNISWAP_V2_FACTORY, UNISWAP_V2_PAIR_INIT_CODE_HASH, path[0], path[1]);
                          if (
                              amountIn != Constants.ALREADY_PAID // amountIn of 0 to signal that the pair already has the tokens
                          ) {
                              payOrPermit2Transfer(path[0], payer, firstPair, amountIn);
                          }
                          ERC20 tokenOut = ERC20(path[path.length - 1]);
                          uint256 balanceBefore = tokenOut.balanceOf(recipient);
                          _v2Swap(path, recipient, firstPair);
                          uint256 amountOut = tokenOut.balanceOf(recipient) - balanceBefore;
                          if (amountOut < amountOutMinimum) revert V2TooLittleReceived();
                      }
                      /// @notice Performs a Uniswap v2 exact output swap
                      /// @param recipient The recipient of the output tokens
                      /// @param amountOut The amount of output tokens to receive for the trade
                      /// @param amountInMaximum The maximum desired amount of input tokens
                      /// @param path The path of the trade as an array of token addresses
                      /// @param payer The address that will be paying the input
                      function v2SwapExactOutput(
                          address recipient,
                          uint256 amountOut,
                          uint256 amountInMaximum,
                          address[] calldata path,
                          address payer
                      ) internal {
                          (uint256 amountIn, address firstPair) =
                              UniswapV2Library.getAmountInMultihop(UNISWAP_V2_FACTORY, UNISWAP_V2_PAIR_INIT_CODE_HASH, amountOut, path);
                          if (amountIn > amountInMaximum) revert V2TooMuchRequested();
                          payOrPermit2Transfer(path[0], payer, firstPair, amountIn);
                          _v2Swap(path, recipient, firstPair);
                      }
                  }
                  // SPDX-License-Identifier: GPL-3.0-or-later
                  pragma solidity ^0.8.17;
                  import {V3Path} from './V3Path.sol';
                  import {BytesLib} from './BytesLib.sol';
                  import {SafeCast} from '@uniswap/v3-core/contracts/libraries/SafeCast.sol';
                  import {IUniswapV3Pool} from '@uniswap/v3-core/contracts/interfaces/IUniswapV3Pool.sol';
                  import {IUniswapV3SwapCallback} from '@uniswap/v3-core/contracts/interfaces/callback/IUniswapV3SwapCallback.sol';
                  import {Constants} from '../../../libraries/Constants.sol';
                  import {RouterImmutables} from '../../../base/RouterImmutables.sol';
                  import {Permit2Payments} from '../../Permit2Payments.sol';
                  import {Constants} from '../../../libraries/Constants.sol';
                  import {ERC20} from 'solmate/src/tokens/ERC20.sol';
                  /// @title Router for Uniswap v3 Trades
                  abstract contract V3SwapRouter is RouterImmutables, Permit2Payments, IUniswapV3SwapCallback {
                      using V3Path for bytes;
                      using BytesLib for bytes;
                      using SafeCast for uint256;
                      error V3InvalidSwap();
                      error V3TooLittleReceived();
                      error V3TooMuchRequested();
                      error V3InvalidAmountOut();
                      error V3InvalidCaller();
                      /// @dev Used as the placeholder value for maxAmountIn, because the computed amount in for an exact output swap
                      /// can never actually be this value
                      uint256 private constant DEFAULT_MAX_AMOUNT_IN = type(uint256).max;
                      /// @dev Transient storage variable used for checking slippage
                      uint256 private maxAmountInCached = DEFAULT_MAX_AMOUNT_IN;
                      /// @dev The minimum value that can be returned from #getSqrtRatioAtTick. Equivalent to getSqrtRatioAtTick(MIN_TICK)
                      uint160 internal constant MIN_SQRT_RATIO = 4295128739;
                      /// @dev The maximum value that can be returned from #getSqrtRatioAtTick. Equivalent to getSqrtRatioAtTick(MAX_TICK)
                      uint160 internal constant MAX_SQRT_RATIO = 1461446703485210103287273052203988822378723970342;
                      function uniswapV3SwapCallback(int256 amount0Delta, int256 amount1Delta, bytes calldata data) external {
                          if (amount0Delta <= 0 && amount1Delta <= 0) revert V3InvalidSwap(); // swaps entirely within 0-liquidity regions are not supported
                          (, address payer) = abi.decode(data, (bytes, address));
                          bytes calldata path = data.toBytes(0);
                          // because exact output swaps are executed in reverse order, in this case tokenOut is actually tokenIn
                          (address tokenIn, uint24 fee, address tokenOut) = path.decodeFirstPool();
                          if (computePoolAddress(tokenIn, tokenOut, fee) != msg.sender) revert V3InvalidCaller();
                          (bool isExactInput, uint256 amountToPay) =
                              amount0Delta > 0 ? (tokenIn < tokenOut, uint256(amount0Delta)) : (tokenOut < tokenIn, uint256(amount1Delta));
                          if (isExactInput) {
                              // Pay the pool (msg.sender)
                              payOrPermit2Transfer(tokenIn, payer, msg.sender, amountToPay);
                          } else {
                              // either initiate the next swap or pay
                              if (path.hasMultiplePools()) {
                                  // this is an intermediate step so the payer is actually this contract
                                  path = path.skipToken();
                                  _swap(-amountToPay.toInt256(), msg.sender, path, payer, false);
                              } else {
                                  if (amountToPay > maxAmountInCached) revert V3TooMuchRequested();
                                  // note that because exact output swaps are executed in reverse order, tokenOut is actually tokenIn
                                  payOrPermit2Transfer(tokenOut, payer, msg.sender, amountToPay);
                              }
                          }
                      }
                      /// @notice Performs a Uniswap v3 exact input swap
                      /// @param recipient The recipient of the output tokens
                      /// @param amountIn The amount of input tokens for the trade
                      /// @param amountOutMinimum The minimum desired amount of output tokens
                      /// @param path The path of the trade as a bytes string
                      /// @param payer The address that will be paying the input
                      function v3SwapExactInput(
                          address recipient,
                          uint256 amountIn,
                          uint256 amountOutMinimum,
                          bytes calldata path,
                          address payer
                      ) internal {
                          // use amountIn == Constants.CONTRACT_BALANCE as a flag to swap the entire balance of the contract
                          if (amountIn == Constants.CONTRACT_BALANCE) {
                              address tokenIn = path.decodeFirstToken();
                              amountIn = ERC20(tokenIn).balanceOf(address(this));
                          }
                          uint256 amountOut;
                          while (true) {
                              bool hasMultiplePools = path.hasMultiplePools();
                              // the outputs of prior swaps become the inputs to subsequent ones
                              (int256 amount0Delta, int256 amount1Delta, bool zeroForOne) = _swap(
                                  amountIn.toInt256(),
                                  hasMultiplePools ? address(this) : recipient, // for intermediate swaps, this contract custodies
                                  path.getFirstPool(), // only the first pool is needed
                                  payer, // for intermediate swaps, this contract custodies
                                  true
                              );
                              amountIn = uint256(-(zeroForOne ? amount1Delta : amount0Delta));
                              // decide whether to continue or terminate
                              if (hasMultiplePools) {
                                  payer = address(this);
                                  path = path.skipToken();
                              } else {
                                  amountOut = amountIn;
                                  break;
                              }
                          }
                          if (amountOut < amountOutMinimum) revert V3TooLittleReceived();
                      }
                      /// @notice Performs a Uniswap v3 exact output swap
                      /// @param recipient The recipient of the output tokens
                      /// @param amountOut The amount of output tokens to receive for the trade
                      /// @param amountInMaximum The maximum desired amount of input tokens
                      /// @param path The path of the trade as a bytes string
                      /// @param payer The address that will be paying the input
                      function v3SwapExactOutput(
                          address recipient,
                          uint256 amountOut,
                          uint256 amountInMaximum,
                          bytes calldata path,
                          address payer
                      ) internal {
                          maxAmountInCached = amountInMaximum;
                          (int256 amount0Delta, int256 amount1Delta, bool zeroForOne) =
                              _swap(-amountOut.toInt256(), recipient, path, payer, false);
                          uint256 amountOutReceived = zeroForOne ? uint256(-amount1Delta) : uint256(-amount0Delta);
                          if (amountOutReceived != amountOut) revert V3InvalidAmountOut();
                          maxAmountInCached = DEFAULT_MAX_AMOUNT_IN;
                      }
                      /// @dev Performs a single swap for both exactIn and exactOut
                      /// For exactIn, `amount` is `amountIn`. For exactOut, `amount` is `-amountOut`
                      function _swap(int256 amount, address recipient, bytes calldata path, address payer, bool isExactIn)
                          private
                          returns (int256 amount0Delta, int256 amount1Delta, bool zeroForOne)
                      {
                          (address tokenIn, uint24 fee, address tokenOut) = path.decodeFirstPool();
                          zeroForOne = isExactIn ? tokenIn < tokenOut : tokenOut < tokenIn;
                          (amount0Delta, amount1Delta) = IUniswapV3Pool(computePoolAddress(tokenIn, tokenOut, fee)).swap(
                              recipient,
                              zeroForOne,
                              amount,
                              (zeroForOne ? MIN_SQRT_RATIO + 1 : MAX_SQRT_RATIO - 1),
                              abi.encode(path, payer)
                          );
                      }
                      function computePoolAddress(address tokenA, address tokenB, uint24 fee) private view returns (address pool) {
                          if (tokenA > tokenB) (tokenA, tokenB) = (tokenB, tokenA);
                          pool = address(
                              uint160(
                                  uint256(
                                      keccak256(
                                          abi.encodePacked(
                                              hex'ff',
                                              UNISWAP_V3_FACTORY,
                                              keccak256(abi.encode(tokenA, tokenB, fee)),
                                              UNISWAP_V3_POOL_INIT_CODE_HASH
                                          )
                                      )
                                  )
                              )
                          );
                      }
                  }
                  // SPDX-License-Identifier: GPL-3.0-or-later
                  /// @title Library for Bytes Manipulation
                  pragma solidity ^0.8.0;
                  import {Constants} from '../../../libraries/Constants.sol';
                  library BytesLib {
                      error SliceOutOfBounds();
                      /// @notice Returns the address starting at byte 0
                      /// @dev length and overflow checks must be carried out before calling
                      /// @param _bytes The input bytes string to slice
                      /// @return _address The address starting at byte 0
                      function toAddress(bytes calldata _bytes) internal pure returns (address _address) {
                          if (_bytes.length < Constants.ADDR_SIZE) revert SliceOutOfBounds();
                          assembly {
                              _address := shr(96, calldataload(_bytes.offset))
                          }
                      }
                      /// @notice Returns the pool details starting at byte 0
                      /// @dev length and overflow checks must be carried out before calling
                      /// @param _bytes The input bytes string to slice
                      /// @return token0 The address at byte 0
                      /// @return fee The uint24 starting at byte 20
                      /// @return token1 The address at byte 23
                      function toPool(bytes calldata _bytes) internal pure returns (address token0, uint24 fee, address token1) {
                          if (_bytes.length < Constants.V3_POP_OFFSET) revert SliceOutOfBounds();
                          assembly {
                              let firstWord := calldataload(_bytes.offset)
                              token0 := shr(96, firstWord)
                              fee := and(shr(72, firstWord), 0xffffff)
                              token1 := shr(96, calldataload(add(_bytes.offset, 23)))
                          }
                      }
                      /// @notice Decode the `_arg`-th element in `_bytes` as a dynamic array
                      /// @dev The decoding of `length` and `offset` is universal,
                      /// whereas the type declaration of `res` instructs the compiler how to read it.
                      /// @param _bytes The input bytes string to slice
                      /// @param _arg The index of the argument to extract
                      /// @return length Length of the array
                      /// @return offset Pointer to the data part of the array
                      function toLengthOffset(bytes calldata _bytes, uint256 _arg)
                          internal
                          pure
                          returns (uint256 length, uint256 offset)
                      {
                          uint256 relativeOffset;
                          assembly {
                              // The offset of the `_arg`-th element is `32 * arg`, which stores the offset of the length pointer.
                              // shl(5, x) is equivalent to mul(32, x)
                              let lengthPtr := add(_bytes.offset, calldataload(add(_bytes.offset, shl(5, _arg))))
                              length := calldataload(lengthPtr)
                              offset := add(lengthPtr, 0x20)
                              relativeOffset := sub(offset, _bytes.offset)
                          }
                          if (_bytes.length < length + relativeOffset) revert SliceOutOfBounds();
                      }
                      /// @notice Decode the `_arg`-th element in `_bytes` as `bytes`
                      /// @param _bytes The input bytes string to extract a bytes string from
                      /// @param _arg The index of the argument to extract
                      function toBytes(bytes calldata _bytes, uint256 _arg) internal pure returns (bytes calldata res) {
                          (uint256 length, uint256 offset) = toLengthOffset(_bytes, _arg);
                          assembly {
                              res.length := length
                              res.offset := offset
                          }
                      }
                      /// @notice Decode the `_arg`-th element in `_bytes` as `address[]`
                      /// @param _bytes The input bytes string to extract an address array from
                      /// @param _arg The index of the argument to extract
                      function toAddressArray(bytes calldata _bytes, uint256 _arg) internal pure returns (address[] calldata res) {
                          (uint256 length, uint256 offset) = toLengthOffset(_bytes, _arg);
                          assembly {
                              res.length := length
                              res.offset := offset
                          }
                      }
                      /// @notice Decode the `_arg`-th element in `_bytes` as `bytes[]`
                      /// @param _bytes The input bytes string to extract a bytes array from
                      /// @param _arg The index of the argument to extract
                      function toBytesArray(bytes calldata _bytes, uint256 _arg) internal pure returns (bytes[] calldata res) {
                          (uint256 length, uint256 offset) = toLengthOffset(_bytes, _arg);
                          assembly {
                              res.length := length
                              res.offset := offset
                          }
                      }
                  }
                  // SPDX-License-Identifier: GPL-3.0-or-later
                  pragma solidity ^0.8.17;
                  import {Constants} from '../libraries/Constants.sol';
                  import {RouterImmutables} from '../base/RouterImmutables.sol';
                  import {SafeTransferLib} from 'solmate/src/utils/SafeTransferLib.sol';
                  import {ERC20} from 'solmate/src/tokens/ERC20.sol';
                  import {ERC721} from 'solmate/src/tokens/ERC721.sol';
                  import {ERC1155} from 'solmate/src/tokens/ERC1155.sol';
                  /// @title Payments contract
                  /// @notice Performs various operations around the payment of ETH and tokens
                  abstract contract Payments is RouterImmutables {
                      using SafeTransferLib for ERC20;
                      using SafeTransferLib for address;
                      error InsufficientToken();
                      error InsufficientETH();
                      error InvalidBips();
                      error InvalidSpender();
                      uint256 internal constant FEE_BIPS_BASE = 10_000;
                      /// @notice Pays an amount of ETH or ERC20 to a recipient
                      /// @param token The token to pay (can be ETH using Constants.ETH)
                      /// @param recipient The address that will receive the payment
                      /// @param value The amount to pay
                      function pay(address token, address recipient, uint256 value) internal {
                          if (token == Constants.ETH) {
                              recipient.safeTransferETH(value);
                          } else {
                              if (value == Constants.CONTRACT_BALANCE) {
                                  value = ERC20(token).balanceOf(address(this));
                              }
                              ERC20(token).safeTransfer(recipient, value);
                          }
                      }
                      /// @notice Approves a protocol to spend ERC20s in the router
                      /// @param token The token to approve
                      /// @param spender Which protocol to approve
                      function approveERC20(ERC20 token, Spenders spender) internal {
                          // check spender is one of our approved spenders
                          address spenderAddress;
                          /// @dev use 0 = Opensea Conduit for both Seaport v1.4 and v1.5
                          if (spender == Spenders.OSConduit) spenderAddress = OPENSEA_CONDUIT;
                          else if (spender == Spenders.Sudoswap) spenderAddress = SUDOSWAP;
                          else revert InvalidSpender();
                          // set approval
                          token.safeApprove(spenderAddress, type(uint256).max);
                      }
                      /// @notice Pays a proportion of the contract's ETH or ERC20 to a recipient
                      /// @param token The token to pay (can be ETH using Constants.ETH)
                      /// @param recipient The address that will receive payment
                      /// @param bips Portion in bips of whole balance of the contract
                      function payPortion(address token, address recipient, uint256 bips) internal {
                          if (bips == 0 || bips > FEE_BIPS_BASE) revert InvalidBips();
                          if (token == Constants.ETH) {
                              uint256 balance = address(this).balance;
                              uint256 amount = (balance * bips) / FEE_BIPS_BASE;
                              recipient.safeTransferETH(amount);
                          } else {
                              uint256 balance = ERC20(token).balanceOf(address(this));
                              uint256 amount = (balance * bips) / FEE_BIPS_BASE;
                              ERC20(token).safeTransfer(recipient, amount);
                          }
                      }
                      /// @notice Sweeps all of the contract's ERC20 or ETH to an address
                      /// @param token The token to sweep (can be ETH using Constants.ETH)
                      /// @param recipient The address that will receive payment
                      /// @param amountMinimum The minimum desired amount
                      function sweep(address token, address recipient, uint256 amountMinimum) internal {
                          uint256 balance;
                          if (token == Constants.ETH) {
                              balance = address(this).balance;
                              if (balance < amountMinimum) revert InsufficientETH();
                              if (balance > 0) recipient.safeTransferETH(balance);
                          } else {
                              balance = ERC20(token).balanceOf(address(this));
                              if (balance < amountMinimum) revert InsufficientToken();
                              if (balance > 0) ERC20(token).safeTransfer(recipient, balance);
                          }
                      }
                      /// @notice Sweeps an ERC721 to a recipient from the contract
                      /// @param token The ERC721 token to sweep
                      /// @param recipient The address that will receive payment
                      /// @param id The ID of the ERC721 to sweep
                      function sweepERC721(address token, address recipient, uint256 id) internal {
                          ERC721(token).safeTransferFrom(address(this), recipient, id);
                      }
                      /// @notice Sweeps all of the contract's ERC1155 to an address
                      /// @param token The ERC1155 token to sweep
                      /// @param recipient The address that will receive payment
                      /// @param id The ID of the ERC1155 to sweep
                      /// @param amountMinimum The minimum desired amount
                      function sweepERC1155(address token, address recipient, uint256 id, uint256 amountMinimum) internal {
                          uint256 balance = ERC1155(token).balanceOf(address(this), id);
                          if (balance < amountMinimum) revert InsufficientToken();
                          ERC1155(token).safeTransferFrom(address(this), recipient, id, balance, bytes(''));
                      }
                      /// @notice Wraps an amount of ETH into WETH
                      /// @param recipient The recipient of the WETH
                      /// @param amount The amount to wrap (can be CONTRACT_BALANCE)
                      function wrapETH(address recipient, uint256 amount) internal {
                          if (amount == Constants.CONTRACT_BALANCE) {
                              amount = address(this).balance;
                          } else if (amount > address(this).balance) {
                              revert InsufficientETH();
                          }
                          if (amount > 0) {
                              WETH9.deposit{value: amount}();
                              if (recipient != address(this)) {
                                  WETH9.transfer(recipient, amount);
                              }
                          }
                      }
                      /// @notice Unwraps all of the contract's WETH into ETH
                      /// @param recipient The recipient of the ETH
                      /// @param amountMinimum The minimum amount of ETH desired
                      function unwrapWETH9(address recipient, uint256 amountMinimum) internal {
                          uint256 value = WETH9.balanceOf(address(this));
                          if (value < amountMinimum) {
                              revert InsufficientETH();
                          }
                          if (value > 0) {
                              WETH9.withdraw(value);
                              if (recipient != address(this)) {
                                  recipient.safeTransferETH(value);
                              }
                          }
                      }
                  }
                  // SPDX-License-Identifier: GPL-3.0-or-later
                  pragma solidity ^0.8.17;
                  import {IERC721Receiver} from '@openzeppelin/contracts/token/ERC721/IERC721Receiver.sol';
                  import {IERC1155Receiver} from '@openzeppelin/contracts/token/ERC1155/IERC1155Receiver.sol';
                  import {IERC165} from '@openzeppelin/contracts/utils/introspection/IERC165.sol';
                  /// @title ERC Callback Support
                  /// @notice Implements various functions introduced by a variety of ERCs for security reasons.
                  /// All are called by external contracts to ensure that this contract safely supports the ERC in question.
                  contract Callbacks is IERC721Receiver, IERC1155Receiver {
                      function onERC721Received(address, address, uint256, bytes calldata) external pure returns (bytes4) {
                          return this.onERC721Received.selector;
                      }
                      function onERC1155Received(address, address, uint256, uint256, bytes calldata) external pure returns (bytes4) {
                          return this.onERC1155Received.selector;
                      }
                      function onERC1155BatchReceived(address, address, uint256[] calldata, uint256[] calldata, bytes calldata)
                          external
                          pure
                          returns (bytes4)
                      {
                          return this.onERC1155BatchReceived.selector;
                      }
                      function supportsInterface(bytes4 interfaceId) external pure returns (bool) {
                          return interfaceId == type(IERC1155Receiver).interfaceId || interfaceId == type(IERC721Receiver).interfaceId
                              || interfaceId == type(IERC165).interfaceId;
                      }
                  }
                  // SPDX-License-Identifier: GPL-3.0-or-later
                  pragma solidity ^0.8.17;
                  import {Constants} from '../libraries/Constants.sol';
                  contract LockAndMsgSender {
                      error ContractLocked();
                      address internal constant NOT_LOCKED_FLAG = address(1);
                      address internal lockedBy = NOT_LOCKED_FLAG;
                      modifier isNotLocked() {
                          if (msg.sender != address(this)) {
                              if (lockedBy != NOT_LOCKED_FLAG) revert ContractLocked();
                              lockedBy = msg.sender;
                              _;
                              lockedBy = NOT_LOCKED_FLAG;
                          } else {
                              _;
                          }
                      }
                      /// @notice Calculates the recipient address for a command
                      /// @param recipient The recipient or recipient-flag for the command
                      /// @return output The resultant recipient for the command
                      function map(address recipient) internal view returns (address) {
                          if (recipient == Constants.MSG_SENDER) {
                              return lockedBy;
                          } else if (recipient == Constants.ADDRESS_THIS) {
                              return address(this);
                          } else {
                              return recipient;
                          }
                      }
                  }
                  // SPDX-License-Identifier: AGPL-3.0-only
                  pragma solidity >=0.8.0;
                  /// @notice Modern, minimalist, and gas efficient ERC-721 implementation.
                  /// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/tokens/ERC721.sol)
                  abstract contract ERC721 {
                      /*//////////////////////////////////////////////////////////////
                                                   EVENTS
                      //////////////////////////////////////////////////////////////*/
                      event Transfer(address indexed from, address indexed to, uint256 indexed id);
                      event Approval(address indexed owner, address indexed spender, uint256 indexed id);
                      event ApprovalForAll(address indexed owner, address indexed operator, bool approved);
                      /*//////////////////////////////////////////////////////////////
                                           METADATA STORAGE/LOGIC
                      //////////////////////////////////////////////////////////////*/
                      string public name;
                      string public symbol;
                      function tokenURI(uint256 id) public view virtual returns (string memory);
                      /*//////////////////////////////////////////////////////////////
                                        ERC721 BALANCE/OWNER STORAGE
                      //////////////////////////////////////////////////////////////*/
                      mapping(uint256 => address) internal _ownerOf;
                      mapping(address => uint256) internal _balanceOf;
                      function ownerOf(uint256 id) public view virtual returns (address owner) {
                          require((owner = _ownerOf[id]) != address(0), "NOT_MINTED");
                      }
                      function balanceOf(address owner) public view virtual returns (uint256) {
                          require(owner != address(0), "ZERO_ADDRESS");
                          return _balanceOf[owner];
                      }
                      /*//////////////////////////////////////////////////////////////
                                           ERC721 APPROVAL STORAGE
                      //////////////////////////////////////////////////////////////*/
                      mapping(uint256 => address) public getApproved;
                      mapping(address => mapping(address => bool)) public isApprovedForAll;
                      /*//////////////////////////////////////////////////////////////
                                                 CONSTRUCTOR
                      //////////////////////////////////////////////////////////////*/
                      constructor(string memory _name, string memory _symbol) {
                          name = _name;
                          symbol = _symbol;
                      }
                      /*//////////////////////////////////////////////////////////////
                                                ERC721 LOGIC
                      //////////////////////////////////////////////////////////////*/
                      function approve(address spender, uint256 id) public virtual {
                          address owner = _ownerOf[id];
                          require(msg.sender == owner || isApprovedForAll[owner][msg.sender], "NOT_AUTHORIZED");
                          getApproved[id] = spender;
                          emit Approval(owner, spender, id);
                      }
                      function setApprovalForAll(address operator, bool approved) public virtual {
                          isApprovedForAll[msg.sender][operator] = approved;
                          emit ApprovalForAll(msg.sender, operator, approved);
                      }
                      function transferFrom(
                          address from,
                          address to,
                          uint256 id
                      ) public virtual {
                          require(from == _ownerOf[id], "WRONG_FROM");
                          require(to != address(0), "INVALID_RECIPIENT");
                          require(
                              msg.sender == from || isApprovedForAll[from][msg.sender] || msg.sender == getApproved[id],
                              "NOT_AUTHORIZED"
                          );
                          // Underflow of the sender's balance is impossible because we check for
                          // ownership above and the recipient's balance can't realistically overflow.
                          unchecked {
                              _balanceOf[from]--;
                              _balanceOf[to]++;
                          }
                          _ownerOf[id] = to;
                          delete getApproved[id];
                          emit Transfer(from, to, id);
                      }
                      function safeTransferFrom(
                          address from,
                          address to,
                          uint256 id
                      ) public virtual {
                          transferFrom(from, to, id);
                          require(
                              to.code.length == 0 ||
                                  ERC721TokenReceiver(to).onERC721Received(msg.sender, from, id, "") ==
                                  ERC721TokenReceiver.onERC721Received.selector,
                              "UNSAFE_RECIPIENT"
                          );
                      }
                      function safeTransferFrom(
                          address from,
                          address to,
                          uint256 id,
                          bytes calldata data
                      ) public virtual {
                          transferFrom(from, to, id);
                          require(
                              to.code.length == 0 ||
                                  ERC721TokenReceiver(to).onERC721Received(msg.sender, from, id, data) ==
                                  ERC721TokenReceiver.onERC721Received.selector,
                              "UNSAFE_RECIPIENT"
                          );
                      }
                      /*//////////////////////////////////////////////////////////////
                                                ERC165 LOGIC
                      //////////////////////////////////////////////////////////////*/
                      function supportsInterface(bytes4 interfaceId) public view virtual returns (bool) {
                          return
                              interfaceId == 0x01ffc9a7 || // ERC165 Interface ID for ERC165
                              interfaceId == 0x80ac58cd || // ERC165 Interface ID for ERC721
                              interfaceId == 0x5b5e139f; // ERC165 Interface ID for ERC721Metadata
                      }
                      /*//////////////////////////////////////////////////////////////
                                          INTERNAL MINT/BURN LOGIC
                      //////////////////////////////////////////////////////////////*/
                      function _mint(address to, uint256 id) internal virtual {
                          require(to != address(0), "INVALID_RECIPIENT");
                          require(_ownerOf[id] == address(0), "ALREADY_MINTED");
                          // Counter overflow is incredibly unrealistic.
                          unchecked {
                              _balanceOf[to]++;
                          }
                          _ownerOf[id] = to;
                          emit Transfer(address(0), to, id);
                      }
                      function _burn(uint256 id) internal virtual {
                          address owner = _ownerOf[id];
                          require(owner != address(0), "NOT_MINTED");
                          // Ownership check above ensures no underflow.
                          unchecked {
                              _balanceOf[owner]--;
                          }
                          delete _ownerOf[id];
                          delete getApproved[id];
                          emit Transfer(owner, address(0), id);
                      }
                      /*//////////////////////////////////////////////////////////////
                                          INTERNAL SAFE MINT LOGIC
                      //////////////////////////////////////////////////////////////*/
                      function _safeMint(address to, uint256 id) internal virtual {
                          _mint(to, id);
                          require(
                              to.code.length == 0 ||
                                  ERC721TokenReceiver(to).onERC721Received(msg.sender, address(0), id, "") ==
                                  ERC721TokenReceiver.onERC721Received.selector,
                              "UNSAFE_RECIPIENT"
                          );
                      }
                      function _safeMint(
                          address to,
                          uint256 id,
                          bytes memory data
                      ) internal virtual {
                          _mint(to, id);
                          require(
                              to.code.length == 0 ||
                                  ERC721TokenReceiver(to).onERC721Received(msg.sender, address(0), id, data) ==
                                  ERC721TokenReceiver.onERC721Received.selector,
                              "UNSAFE_RECIPIENT"
                          );
                      }
                  }
                  /// @notice A generic interface for a contract which properly accepts ERC721 tokens.
                  /// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/tokens/ERC721.sol)
                  abstract contract ERC721TokenReceiver {
                      function onERC721Received(
                          address,
                          address,
                          uint256,
                          bytes calldata
                      ) external virtual returns (bytes4) {
                          return ERC721TokenReceiver.onERC721Received.selector;
                      }
                  }
                  // SPDX-License-Identifier: AGPL-3.0-only
                  pragma solidity >=0.8.0;
                  /// @notice Minimalist and gas efficient standard ERC1155 implementation.
                  /// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/tokens/ERC1155.sol)
                  abstract contract ERC1155 {
                      /*//////////////////////////////////////////////////////////////
                                                   EVENTS
                      //////////////////////////////////////////////////////////////*/
                      event TransferSingle(
                          address indexed operator,
                          address indexed from,
                          address indexed to,
                          uint256 id,
                          uint256 amount
                      );
                      event TransferBatch(
                          address indexed operator,
                          address indexed from,
                          address indexed to,
                          uint256[] ids,
                          uint256[] amounts
                      );
                      event ApprovalForAll(address indexed owner, address indexed operator, bool approved);
                      event URI(string value, uint256 indexed id);
                      /*//////////////////////////////////////////////////////////////
                                               ERC1155 STORAGE
                      //////////////////////////////////////////////////////////////*/
                      mapping(address => mapping(uint256 => uint256)) public balanceOf;
                      mapping(address => mapping(address => bool)) public isApprovedForAll;
                      /*//////////////////////////////////////////////////////////////
                                               METADATA LOGIC
                      //////////////////////////////////////////////////////////////*/
                      function uri(uint256 id) public view virtual returns (string memory);
                      /*//////////////////////////////////////////////////////////////
                                                ERC1155 LOGIC
                      //////////////////////////////////////////////////////////////*/
                      function setApprovalForAll(address operator, bool approved) public virtual {
                          isApprovedForAll[msg.sender][operator] = approved;
                          emit ApprovalForAll(msg.sender, operator, approved);
                      }
                      function safeTransferFrom(
                          address from,
                          address to,
                          uint256 id,
                          uint256 amount,
                          bytes calldata data
                      ) public virtual {
                          require(msg.sender == from || isApprovedForAll[from][msg.sender], "NOT_AUTHORIZED");
                          balanceOf[from][id] -= amount;
                          balanceOf[to][id] += amount;
                          emit TransferSingle(msg.sender, from, to, id, amount);
                          require(
                              to.code.length == 0
                                  ? to != address(0)
                                  : ERC1155TokenReceiver(to).onERC1155Received(msg.sender, from, id, amount, data) ==
                                      ERC1155TokenReceiver.onERC1155Received.selector,
                              "UNSAFE_RECIPIENT"
                          );
                      }
                      function safeBatchTransferFrom(
                          address from,
                          address to,
                          uint256[] calldata ids,
                          uint256[] calldata amounts,
                          bytes calldata data
                      ) public virtual {
                          require(ids.length == amounts.length, "LENGTH_MISMATCH");
                          require(msg.sender == from || isApprovedForAll[from][msg.sender], "NOT_AUTHORIZED");
                          // Storing these outside the loop saves ~15 gas per iteration.
                          uint256 id;
                          uint256 amount;
                          for (uint256 i = 0; i < ids.length; ) {
                              id = ids[i];
                              amount = amounts[i];
                              balanceOf[from][id] -= amount;
                              balanceOf[to][id] += amount;
                              // An array can't have a total length
                              // larger than the max uint256 value.
                              unchecked {
                                  ++i;
                              }
                          }
                          emit TransferBatch(msg.sender, from, to, ids, amounts);
                          require(
                              to.code.length == 0
                                  ? to != address(0)
                                  : ERC1155TokenReceiver(to).onERC1155BatchReceived(msg.sender, from, ids, amounts, data) ==
                                      ERC1155TokenReceiver.onERC1155BatchReceived.selector,
                              "UNSAFE_RECIPIENT"
                          );
                      }
                      function balanceOfBatch(address[] calldata owners, uint256[] calldata ids)
                          public
                          view
                          virtual
                          returns (uint256[] memory balances)
                      {
                          require(owners.length == ids.length, "LENGTH_MISMATCH");
                          balances = new uint256[](owners.length);
                          // Unchecked because the only math done is incrementing
                          // the array index counter which cannot possibly overflow.
                          unchecked {
                              for (uint256 i = 0; i < owners.length; ++i) {
                                  balances[i] = balanceOf[owners[i]][ids[i]];
                              }
                          }
                      }
                      /*//////////////////////////////////////////////////////////////
                                                ERC165 LOGIC
                      //////////////////////////////////////////////////////////////*/
                      function supportsInterface(bytes4 interfaceId) public view virtual returns (bool) {
                          return
                              interfaceId == 0x01ffc9a7 || // ERC165 Interface ID for ERC165
                              interfaceId == 0xd9b67a26 || // ERC165 Interface ID for ERC1155
                              interfaceId == 0x0e89341c; // ERC165 Interface ID for ERC1155MetadataURI
                      }
                      /*//////////////////////////////////////////////////////////////
                                          INTERNAL MINT/BURN LOGIC
                      //////////////////////////////////////////////////////////////*/
                      function _mint(
                          address to,
                          uint256 id,
                          uint256 amount,
                          bytes memory data
                      ) internal virtual {
                          balanceOf[to][id] += amount;
                          emit TransferSingle(msg.sender, address(0), to, id, amount);
                          require(
                              to.code.length == 0
                                  ? to != address(0)
                                  : ERC1155TokenReceiver(to).onERC1155Received(msg.sender, address(0), id, amount, data) ==
                                      ERC1155TokenReceiver.onERC1155Received.selector,
                              "UNSAFE_RECIPIENT"
                          );
                      }
                      function _batchMint(
                          address to,
                          uint256[] memory ids,
                          uint256[] memory amounts,
                          bytes memory data
                      ) internal virtual {
                          uint256 idsLength = ids.length; // Saves MLOADs.
                          require(idsLength == amounts.length, "LENGTH_MISMATCH");
                          for (uint256 i = 0; i < idsLength; ) {
                              balanceOf[to][ids[i]] += amounts[i];
                              // An array can't have a total length
                              // larger than the max uint256 value.
                              unchecked {
                                  ++i;
                              }
                          }
                          emit TransferBatch(msg.sender, address(0), to, ids, amounts);
                          require(
                              to.code.length == 0
                                  ? to != address(0)
                                  : ERC1155TokenReceiver(to).onERC1155BatchReceived(msg.sender, address(0), ids, amounts, data) ==
                                      ERC1155TokenReceiver.onERC1155BatchReceived.selector,
                              "UNSAFE_RECIPIENT"
                          );
                      }
                      function _batchBurn(
                          address from,
                          uint256[] memory ids,
                          uint256[] memory amounts
                      ) internal virtual {
                          uint256 idsLength = ids.length; // Saves MLOADs.
                          require(idsLength == amounts.length, "LENGTH_MISMATCH");
                          for (uint256 i = 0; i < idsLength; ) {
                              balanceOf[from][ids[i]] -= amounts[i];
                              // An array can't have a total length
                              // larger than the max uint256 value.
                              unchecked {
                                  ++i;
                              }
                          }
                          emit TransferBatch(msg.sender, from, address(0), ids, amounts);
                      }
                      function _burn(
                          address from,
                          uint256 id,
                          uint256 amount
                      ) internal virtual {
                          balanceOf[from][id] -= amount;
                          emit TransferSingle(msg.sender, from, address(0), id, amount);
                      }
                  }
                  /// @notice A generic interface for a contract which properly accepts ERC1155 tokens.
                  /// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/tokens/ERC1155.sol)
                  abstract contract ERC1155TokenReceiver {
                      function onERC1155Received(
                          address,
                          address,
                          uint256,
                          uint256,
                          bytes calldata
                      ) external virtual returns (bytes4) {
                          return ERC1155TokenReceiver.onERC1155Received.selector;
                      }
                      function onERC1155BatchReceived(
                          address,
                          address,
                          uint256[] calldata,
                          uint256[] calldata,
                          bytes calldata
                      ) external virtual returns (bytes4) {
                          return ERC1155TokenReceiver.onERC1155BatchReceived.selector;
                      }
                  }
                  // SPDX-License-Identifier: AGPL-3.0-only
                  pragma solidity >=0.8.0;
                  /// @notice Modern and gas efficient ERC20 + EIP-2612 implementation.
                  /// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/tokens/ERC20.sol)
                  /// @author Modified from Uniswap (https://github.com/Uniswap/uniswap-v2-core/blob/master/contracts/UniswapV2ERC20.sol)
                  /// @dev Do not manually set balances without updating totalSupply, as the sum of all user balances must not exceed it.
                  abstract contract ERC20 {
                      /*//////////////////////////////////////////////////////////////
                                                   EVENTS
                      //////////////////////////////////////////////////////////////*/
                      event Transfer(address indexed from, address indexed to, uint256 amount);
                      event Approval(address indexed owner, address indexed spender, uint256 amount);
                      /*//////////////////////////////////////////////////////////////
                                              METADATA STORAGE
                      //////////////////////////////////////////////////////////////*/
                      string public name;
                      string public symbol;
                      uint8 public immutable decimals;
                      /*//////////////////////////////////////////////////////////////
                                                ERC20 STORAGE
                      //////////////////////////////////////////////////////////////*/
                      uint256 public totalSupply;
                      mapping(address => uint256) public balanceOf;
                      mapping(address => mapping(address => uint256)) public allowance;
                      /*//////////////////////////////////////////////////////////////
                                              EIP-2612 STORAGE
                      //////////////////////////////////////////////////////////////*/
                      uint256 internal immutable INITIAL_CHAIN_ID;
                      bytes32 internal immutable INITIAL_DOMAIN_SEPARATOR;
                      mapping(address => uint256) public nonces;
                      /*//////////////////////////////////////////////////////////////
                                                 CONSTRUCTOR
                      //////////////////////////////////////////////////////////////*/
                      constructor(
                          string memory _name,
                          string memory _symbol,
                          uint8 _decimals
                      ) {
                          name = _name;
                          symbol = _symbol;
                          decimals = _decimals;
                          INITIAL_CHAIN_ID = block.chainid;
                          INITIAL_DOMAIN_SEPARATOR = computeDomainSeparator();
                      }
                      /*//////////////////////////////////////////////////////////////
                                                 ERC20 LOGIC
                      //////////////////////////////////////////////////////////////*/
                      function approve(address spender, uint256 amount) public virtual returns (bool) {
                          allowance[msg.sender][spender] = amount;
                          emit Approval(msg.sender, spender, amount);
                          return true;
                      }
                      function transfer(address to, uint256 amount) public virtual returns (bool) {
                          balanceOf[msg.sender] -= amount;
                          // Cannot overflow because the sum of all user
                          // balances can't exceed the max uint256 value.
                          unchecked {
                              balanceOf[to] += amount;
                          }
                          emit Transfer(msg.sender, to, amount);
                          return true;
                      }
                      function transferFrom(
                          address from,
                          address to,
                          uint256 amount
                      ) public virtual returns (bool) {
                          uint256 allowed = allowance[from][msg.sender]; // Saves gas for limited approvals.
                          if (allowed != type(uint256).max) allowance[from][msg.sender] = allowed - amount;
                          balanceOf[from] -= amount;
                          // Cannot overflow because the sum of all user
                          // balances can't exceed the max uint256 value.
                          unchecked {
                              balanceOf[to] += amount;
                          }
                          emit Transfer(from, to, amount);
                          return true;
                      }
                      /*//////////////////////////////////////////////////////////////
                                               EIP-2612 LOGIC
                      //////////////////////////////////////////////////////////////*/
                      function permit(
                          address owner,
                          address spender,
                          uint256 value,
                          uint256 deadline,
                          uint8 v,
                          bytes32 r,
                          bytes32 s
                      ) public virtual {
                          require(deadline >= block.timestamp, "PERMIT_DEADLINE_EXPIRED");
                          // Unchecked because the only math done is incrementing
                          // the owner's nonce which cannot realistically overflow.
                          unchecked {
                              address recoveredAddress = ecrecover(
                                  keccak256(
                                      abi.encodePacked(
                                          "\\x19\\x01",
                                          DOMAIN_SEPARATOR(),
                                          keccak256(
                                              abi.encode(
                                                  keccak256(
                                                      "Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)"
                                                  ),
                                                  owner,
                                                  spender,
                                                  value,
                                                  nonces[owner]++,
                                                  deadline
                                              )
                                          )
                                      )
                                  ),
                                  v,
                                  r,
                                  s
                              );
                              require(recoveredAddress != address(0) && recoveredAddress == owner, "INVALID_SIGNER");
                              allowance[recoveredAddress][spender] = value;
                          }
                          emit Approval(owner, spender, value);
                      }
                      function DOMAIN_SEPARATOR() public view virtual returns (bytes32) {
                          return block.chainid == INITIAL_CHAIN_ID ? INITIAL_DOMAIN_SEPARATOR : computeDomainSeparator();
                      }
                      function computeDomainSeparator() internal view virtual returns (bytes32) {
                          return
                              keccak256(
                                  abi.encode(
                                      keccak256("EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)"),
                                      keccak256(bytes(name)),
                                      keccak256("1"),
                                      block.chainid,
                                      address(this)
                                  )
                              );
                      }
                      /*//////////////////////////////////////////////////////////////
                                          INTERNAL MINT/BURN LOGIC
                      //////////////////////////////////////////////////////////////*/
                      function _mint(address to, uint256 amount) internal virtual {
                          totalSupply += amount;
                          // Cannot overflow because the sum of all user
                          // balances can't exceed the max uint256 value.
                          unchecked {
                              balanceOf[to] += amount;
                          }
                          emit Transfer(address(0), to, amount);
                      }
                      function _burn(address from, uint256 amount) internal virtual {
                          balanceOf[from] -= amount;
                          // Cannot underflow because a user's balance
                          // will never be larger than the total supply.
                          unchecked {
                              totalSupply -= amount;
                          }
                          emit Transfer(from, address(0), amount);
                      }
                  }
                  // SPDX-License-Identifier: MIT
                  pragma solidity ^0.8.17;
                  /// @title AllowanceTransfer
                  /// @notice Handles ERC20 token permissions through signature based allowance setting and ERC20 token transfers by checking allowed amounts
                  /// @dev Requires user's token approval on the Permit2 contract
                  interface IAllowanceTransfer {
                      /// @notice Thrown when an allowance on a token has expired.
                      /// @param deadline The timestamp at which the allowed amount is no longer valid
                      error AllowanceExpired(uint256 deadline);
                      /// @notice Thrown when an allowance on a token has been depleted.
                      /// @param amount The maximum amount allowed
                      error InsufficientAllowance(uint256 amount);
                      /// @notice Thrown when too many nonces are invalidated.
                      error ExcessiveInvalidation();
                      /// @notice Emits an event when the owner successfully invalidates an ordered nonce.
                      event NonceInvalidation(
                          address indexed owner, address indexed token, address indexed spender, uint48 newNonce, uint48 oldNonce
                      );
                      /// @notice Emits an event when the owner successfully sets permissions on a token for the spender.
                      event Approval(
                          address indexed owner, address indexed token, address indexed spender, uint160 amount, uint48 expiration
                      );
                      /// @notice Emits an event when the owner successfully sets permissions using a permit signature on a token for the spender.
                      event Permit(
                          address indexed owner,
                          address indexed token,
                          address indexed spender,
                          uint160 amount,
                          uint48 expiration,
                          uint48 nonce
                      );
                      /// @notice Emits an event when the owner sets the allowance back to 0 with the lockdown function.
                      event Lockdown(address indexed owner, address token, address spender);
                      /// @notice The permit data for a token
                      struct PermitDetails {
                          // ERC20 token address
                          address token;
                          // the maximum amount allowed to spend
                          uint160 amount;
                          // timestamp at which a spender's token allowances become invalid
                          uint48 expiration;
                          // an incrementing value indexed per owner,token,and spender for each signature
                          uint48 nonce;
                      }
                      /// @notice The permit message signed for a single token allownce
                      struct PermitSingle {
                          // the permit data for a single token alownce
                          PermitDetails details;
                          // address permissioned on the allowed tokens
                          address spender;
                          // deadline on the permit signature
                          uint256 sigDeadline;
                      }
                      /// @notice The permit message signed for multiple token allowances
                      struct PermitBatch {
                          // the permit data for multiple token allowances
                          PermitDetails[] details;
                          // address permissioned on the allowed tokens
                          address spender;
                          // deadline on the permit signature
                          uint256 sigDeadline;
                      }
                      /// @notice The saved permissions
                      /// @dev This info is saved per owner, per token, per spender and all signed over in the permit message
                      /// @dev Setting amount to type(uint160).max sets an unlimited approval
                      struct PackedAllowance {
                          // amount allowed
                          uint160 amount;
                          // permission expiry
                          uint48 expiration;
                          // an incrementing value indexed per owner,token,and spender for each signature
                          uint48 nonce;
                      }
                      /// @notice A token spender pair.
                      struct TokenSpenderPair {
                          // the token the spender is approved
                          address token;
                          // the spender address
                          address spender;
                      }
                      /// @notice Details for a token transfer.
                      struct AllowanceTransferDetails {
                          // the owner of the token
                          address from;
                          // the recipient of the token
                          address to;
                          // the amount of the token
                          uint160 amount;
                          // the token to be transferred
                          address token;
                      }
                      /// @notice A mapping from owner address to token address to spender address to PackedAllowance struct, which contains details and conditions of the approval.
                      /// @notice The mapping is indexed in the above order see: allowance[ownerAddress][tokenAddress][spenderAddress]
                      /// @dev The packed slot holds the allowed amount, expiration at which the allowed amount is no longer valid, and current nonce thats updated on any signature based approvals.
                      function allowance(address, address, address) external view returns (uint160, uint48, uint48);
                      /// @notice Approves the spender to use up to amount of the specified token up until the expiration
                      /// @param token The token to approve
                      /// @param spender The spender address to approve
                      /// @param amount The approved amount of the token
                      /// @param expiration The timestamp at which the approval is no longer valid
                      /// @dev The packed allowance also holds a nonce, which will stay unchanged in approve
                      /// @dev Setting amount to type(uint160).max sets an unlimited approval
                      function approve(address token, address spender, uint160 amount, uint48 expiration) external;
                      /// @notice Permit a spender to a given amount of the owners token via the owner's EIP-712 signature
                      /// @dev May fail if the owner's nonce was invalidated in-flight by invalidateNonce
                      /// @param owner The owner of the tokens being approved
                      /// @param permitSingle Data signed over by the owner specifying the terms of approval
                      /// @param signature The owner's signature over the permit data
                      function permit(address owner, PermitSingle memory permitSingle, bytes calldata signature) external;
                      /// @notice Permit a spender to the signed amounts of the owners tokens via the owner's EIP-712 signature
                      /// @dev May fail if the owner's nonce was invalidated in-flight by invalidateNonce
                      /// @param owner The owner of the tokens being approved
                      /// @param permitBatch Data signed over by the owner specifying the terms of approval
                      /// @param signature The owner's signature over the permit data
                      function permit(address owner, PermitBatch memory permitBatch, bytes calldata signature) external;
                      /// @notice Transfer approved tokens from one address to another
                      /// @param from The address to transfer from
                      /// @param to The address of the recipient
                      /// @param amount The amount of the token to transfer
                      /// @param token The token address to transfer
                      /// @dev Requires the from address to have approved at least the desired amount
                      /// of tokens to msg.sender.
                      function transferFrom(address from, address to, uint160 amount, address token) external;
                      /// @notice Transfer approved tokens in a batch
                      /// @param transferDetails Array of owners, recipients, amounts, and tokens for the transfers
                      /// @dev Requires the from addresses to have approved at least the desired amount
                      /// of tokens to msg.sender.
                      function transferFrom(AllowanceTransferDetails[] calldata transferDetails) external;
                      /// @notice Enables performing a "lockdown" of the sender's Permit2 identity
                      /// by batch revoking approvals
                      /// @param approvals Array of approvals to revoke.
                      function lockdown(TokenSpenderPair[] calldata approvals) external;
                      /// @notice Invalidate nonces for a given (token, spender) pair
                      /// @param token The token to invalidate nonces for
                      /// @param spender The spender to invalidate nonces for
                      /// @param newNonce The new nonce to set. Invalidates all nonces less than it.
                      /// @dev Can't invalidate more than 2**16 nonces per transaction.
                      function invalidateNonces(address token, address spender, uint48 newNonce) external;
                  }
                  // SPDX-License-Identifier: GPL-3.0-or-later
                  pragma solidity ^0.8.4;
                  /// @title Interface for CryptoPunksMarket
                  interface ICryptoPunksMarket {
                      /// @notice Buy a cryptopunk
                      function buyPunk(uint256 punkIndex) external payable;
                      /// @notice Transfer a cryptopunk to another address
                      function transferPunk(address to, uint256 punkIndex) external;
                  }
                  // SPDX-License-Identifier: AGPL-3.0-only
                  pragma solidity >=0.8.0;
                  import {ERC20} from "../tokens/ERC20.sol";
                  /// @notice Safe ETH and ERC20 transfer library that gracefully handles missing return values.
                  /// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/SafeTransferLib.sol)
                  /// @dev Use with caution! Some functions in this library knowingly create dirty bits at the destination of the free memory pointer.
                  /// @dev Note that none of the functions in this library check that a token has code at all! That responsibility is delegated to the caller.
                  library SafeTransferLib {
                      /*//////////////////////////////////////////////////////////////
                                               ETH OPERATIONS
                      //////////////////////////////////////////////////////////////*/
                      function safeTransferETH(address to, uint256 amount) internal {
                          bool success;
                          /// @solidity memory-safe-assembly
                          assembly {
                              // Transfer the ETH and store if it succeeded or not.
                              success := call(gas(), to, amount, 0, 0, 0, 0)
                          }
                          require(success, "ETH_TRANSFER_FAILED");
                      }
                      /*//////////////////////////////////////////////////////////////
                                              ERC20 OPERATIONS
                      //////////////////////////////////////////////////////////////*/
                      function safeTransferFrom(
                          ERC20 token,
                          address from,
                          address to,
                          uint256 amount
                      ) internal {
                          bool success;
                          /// @solidity memory-safe-assembly
                          assembly {
                              // Get a pointer to some free memory.
                              let freeMemoryPointer := mload(0x40)
                              // Write the abi-encoded calldata into memory, beginning with the function selector.
                              mstore(freeMemoryPointer, 0x23b872dd00000000000000000000000000000000000000000000000000000000)
                              mstore(add(freeMemoryPointer, 4), from) // Append the "from" argument.
                              mstore(add(freeMemoryPointer, 36), to) // Append the "to" argument.
                              mstore(add(freeMemoryPointer, 68), amount) // Append the "amount" argument.
                              success := and(
                                  // Set success to whether the call reverted, if not we check it either
                                  // returned exactly 1 (can't just be non-zero data), or had no return data.
                                  or(and(eq(mload(0), 1), gt(returndatasize(), 31)), iszero(returndatasize())),
                                  // We use 100 because the length of our calldata totals up like so: 4 + 32 * 3.
                                  // We use 0 and 32 to copy up to 32 bytes of return data into the scratch space.
                                  // Counterintuitively, this call must be positioned second to the or() call in the
                                  // surrounding and() call or else returndatasize() will be zero during the computation.
                                  call(gas(), token, 0, freeMemoryPointer, 100, 0, 32)
                              )
                          }
                          require(success, "TRANSFER_FROM_FAILED");
                      }
                      function safeTransfer(
                          ERC20 token,
                          address to,
                          uint256 amount
                      ) internal {
                          bool success;
                          /// @solidity memory-safe-assembly
                          assembly {
                              // Get a pointer to some free memory.
                              let freeMemoryPointer := mload(0x40)
                              // Write the abi-encoded calldata into memory, beginning with the function selector.
                              mstore(freeMemoryPointer, 0xa9059cbb00000000000000000000000000000000000000000000000000000000)
                              mstore(add(freeMemoryPointer, 4), to) // Append the "to" argument.
                              mstore(add(freeMemoryPointer, 36), amount) // Append the "amount" argument.
                              success := and(
                                  // Set success to whether the call reverted, if not we check it either
                                  // returned exactly 1 (can't just be non-zero data), or had no return data.
                                  or(and(eq(mload(0), 1), gt(returndatasize(), 31)), iszero(returndatasize())),
                                  // We use 68 because the length of our calldata totals up like so: 4 + 32 * 2.
                                  // We use 0 and 32 to copy up to 32 bytes of return data into the scratch space.
                                  // Counterintuitively, this call must be positioned second to the or() call in the
                                  // surrounding and() call or else returndatasize() will be zero during the computation.
                                  call(gas(), token, 0, freeMemoryPointer, 68, 0, 32)
                              )
                          }
                          require(success, "TRANSFER_FAILED");
                      }
                      function safeApprove(
                          ERC20 token,
                          address to,
                          uint256 amount
                      ) internal {
                          bool success;
                          /// @solidity memory-safe-assembly
                          assembly {
                              // Get a pointer to some free memory.
                              let freeMemoryPointer := mload(0x40)
                              // Write the abi-encoded calldata into memory, beginning with the function selector.
                              mstore(freeMemoryPointer, 0x095ea7b300000000000000000000000000000000000000000000000000000000)
                              mstore(add(freeMemoryPointer, 4), to) // Append the "to" argument.
                              mstore(add(freeMemoryPointer, 36), amount) // Append the "amount" argument.
                              success := and(
                                  // Set success to whether the call reverted, if not we check it either
                                  // returned exactly 1 (can't just be non-zero data), or had no return data.
                                  or(and(eq(mload(0), 1), gt(returndatasize(), 31)), iszero(returndatasize())),
                                  // We use 68 because the length of our calldata totals up like so: 4 + 32 * 2.
                                  // We use 0 and 32 to copy up to 32 bytes of return data into the scratch space.
                                  // Counterintuitively, this call must be positioned second to the or() call in the
                                  // surrounding and() call or else returndatasize() will be zero during the computation.
                                  call(gas(), token, 0, freeMemoryPointer, 68, 0, 32)
                              )
                          }
                          require(success, "APPROVE_FAILED");
                      }
                  }
                  // SPDX-License-Identifier: GPL-3.0-or-later
                  pragma solidity ^0.8.15;
                  import {ERC20} from 'solmate/src/tokens/ERC20.sol';
                  /// @title LooksRare Rewards Collector
                  /// @notice Implements a permissionless call to fetch LooksRare rewards earned by Universal Router users
                  /// and transfers them to an external rewards distributor contract
                  interface IRewardsCollector {
                      /// @notice Fetches users' LooksRare rewards and sends them to the distributor contract
                      /// @param looksRareClaim The data required by LooksRare to claim reward tokens
                      function collectRewards(bytes calldata looksRareClaim) external;
                  }
                  // SPDX-License-Identifier: GPL-3.0-or-later
                  pragma solidity ^0.8.4;
                  import {IERC20} from '@openzeppelin/contracts/token/ERC20/IERC20.sol';
                  /// @title Interface for WETH9
                  interface IWETH9 is IERC20 {
                      /// @notice Deposit ether to get wrapped ether
                      function deposit() external payable;
                      /// @notice Withdraw wrapped ether to get ether
                      function withdraw(uint256) external;
                  }
                  // SPDX-License-Identifier: MIT
                  // OpenZeppelin Contracts (last updated v4.6.0) (token/ERC721/IERC721Receiver.sol)
                  pragma solidity ^0.8.0;
                  /**
                   * @title ERC721 token receiver interface
                   * @dev Interface for any contract that wants to support safeTransfers
                   * from ERC721 asset contracts.
                   */
                  interface IERC721Receiver {
                      /**
                       * @dev Whenever an {IERC721} `tokenId` token is transferred to this contract via {IERC721-safeTransferFrom}
                       * by `operator` from `from`, this function is called.
                       *
                       * It must return its Solidity selector to confirm the token transfer.
                       * If any other value is returned or the interface is not implemented by the recipient, the transfer will be reverted.
                       *
                       * The selector can be obtained in Solidity with `IERC721Receiver.onERC721Received.selector`.
                       */
                      function onERC721Received(
                          address operator,
                          address from,
                          uint256 tokenId,
                          bytes calldata data
                      ) external returns (bytes4);
                  }
                  // SPDX-License-Identifier: MIT
                  // OpenZeppelin Contracts (last updated v4.5.0) (token/ERC1155/IERC1155Receiver.sol)
                  pragma solidity ^0.8.0;
                  import "../../utils/introspection/IERC165.sol";
                  /**
                   * @dev _Available since v3.1._
                   */
                  interface IERC1155Receiver is IERC165 {
                      /**
                       * @dev Handles the receipt of a single ERC1155 token type. This function is
                       * called at the end of a `safeTransferFrom` after the balance has been updated.
                       *
                       * NOTE: To accept the transfer, this must return
                       * `bytes4(keccak256("onERC1155Received(address,address,uint256,uint256,bytes)"))`
                       * (i.e. 0xf23a6e61, or its own function selector).
                       *
                       * @param operator The address which initiated the transfer (i.e. msg.sender)
                       * @param from The address which previously owned the token
                       * @param id The ID of the token being transferred
                       * @param value The amount of tokens being transferred
                       * @param data Additional data with no specified format
                       * @return `bytes4(keccak256("onERC1155Received(address,address,uint256,uint256,bytes)"))` if transfer is allowed
                       */
                      function onERC1155Received(
                          address operator,
                          address from,
                          uint256 id,
                          uint256 value,
                          bytes calldata data
                      ) external returns (bytes4);
                      /**
                       * @dev Handles the receipt of a multiple ERC1155 token types. This function
                       * is called at the end of a `safeBatchTransferFrom` after the balances have
                       * been updated.
                       *
                       * NOTE: To accept the transfer(s), this must return
                       * `bytes4(keccak256("onERC1155BatchReceived(address,address,uint256[],uint256[],bytes)"))`
                       * (i.e. 0xbc197c81, or its own function selector).
                       *
                       * @param operator The address which initiated the batch transfer (i.e. msg.sender)
                       * @param from The address which previously owned the token
                       * @param ids An array containing ids of each token being transferred (order and length must match values array)
                       * @param values An array containing amounts of each token being transferred (order and length must match ids array)
                       * @param data Additional data with no specified format
                       * @return `bytes4(keccak256("onERC1155BatchReceived(address,address,uint256[],uint256[],bytes)"))` if transfer is allowed
                       */
                      function onERC1155BatchReceived(
                          address operator,
                          address from,
                          uint256[] calldata ids,
                          uint256[] calldata values,
                          bytes calldata data
                      ) external returns (bytes4);
                  }
                  pragma solidity >=0.5.0;
                  interface IUniswapV2Pair {
                      event Approval(address indexed owner, address indexed spender, uint value);
                      event Transfer(address indexed from, address indexed to, uint value);
                      function name() external pure returns (string memory);
                      function symbol() external pure returns (string memory);
                      function decimals() external pure returns (uint8);
                      function totalSupply() external view returns (uint);
                      function balanceOf(address owner) external view returns (uint);
                      function allowance(address owner, address spender) external view returns (uint);
                      function approve(address spender, uint value) external returns (bool);
                      function transfer(address to, uint value) external returns (bool);
                      function transferFrom(address from, address to, uint value) external returns (bool);
                      function DOMAIN_SEPARATOR() external view returns (bytes32);
                      function PERMIT_TYPEHASH() external pure returns (bytes32);
                      function nonces(address owner) external view returns (uint);
                      function permit(address owner, address spender, uint value, uint deadline, uint8 v, bytes32 r, bytes32 s) external;
                      event Mint(address indexed sender, uint amount0, uint amount1);
                      event Burn(address indexed sender, uint amount0, uint amount1, address indexed to);
                      event Swap(
                          address indexed sender,
                          uint amount0In,
                          uint amount1In,
                          uint amount0Out,
                          uint amount1Out,
                          address indexed to
                      );
                      event Sync(uint112 reserve0, uint112 reserve1);
                      function MINIMUM_LIQUIDITY() external pure returns (uint);
                      function factory() external view returns (address);
                      function token0() external view returns (address);
                      function token1() external view returns (address);
                      function getReserves() external view returns (uint112 reserve0, uint112 reserve1, uint32 blockTimestampLast);
                      function price0CumulativeLast() external view returns (uint);
                      function price1CumulativeLast() external view returns (uint);
                      function kLast() external view returns (uint);
                      function mint(address to) external returns (uint liquidity);
                      function burn(address to) external returns (uint amount0, uint amount1);
                      function swap(uint amount0Out, uint amount1Out, address to, bytes calldata data) external;
                      function skim(address to) external;
                      function sync() external;
                      function initialize(address, address) external;
                  }
                  // SPDX-License-Identifier: GPL-3.0-or-later
                  pragma solidity >=0.8.0;
                  import {IUniswapV2Pair} from '@uniswap/v2-core/contracts/interfaces/IUniswapV2Pair.sol';
                  /// @title Uniswap v2 Helper Library
                  /// @notice Calculates the recipient address for a command
                  library UniswapV2Library {
                      error InvalidReserves();
                      error InvalidPath();
                      /// @notice Calculates the v2 address for a pair without making any external calls
                      /// @param factory The address of the v2 factory
                      /// @param initCodeHash The hash of the pair initcode
                      /// @param tokenA One of the tokens in the pair
                      /// @param tokenB The other token in the pair
                      /// @return pair The resultant v2 pair address
                      function pairFor(address factory, bytes32 initCodeHash, address tokenA, address tokenB)
                          internal
                          pure
                          returns (address pair)
                      {
                          (address token0, address token1) = sortTokens(tokenA, tokenB);
                          pair = pairForPreSorted(factory, initCodeHash, token0, token1);
                      }
                      /// @notice Calculates the v2 address for a pair and the pair's token0
                      /// @param factory The address of the v2 factory
                      /// @param initCodeHash The hash of the pair initcode
                      /// @param tokenA One of the tokens in the pair
                      /// @param tokenB The other token in the pair
                      /// @return pair The resultant v2 pair address
                      /// @return token0 The token considered token0 in this pair
                      function pairAndToken0For(address factory, bytes32 initCodeHash, address tokenA, address tokenB)
                          internal
                          pure
                          returns (address pair, address token0)
                      {
                          address token1;
                          (token0, token1) = sortTokens(tokenA, tokenB);
                          pair = pairForPreSorted(factory, initCodeHash, token0, token1);
                      }
                      /// @notice Calculates the v2 address for a pair assuming the input tokens are pre-sorted
                      /// @param factory The address of the v2 factory
                      /// @param initCodeHash The hash of the pair initcode
                      /// @param token0 The pair's token0
                      /// @param token1 The pair's token1
                      /// @return pair The resultant v2 pair address
                      function pairForPreSorted(address factory, bytes32 initCodeHash, address token0, address token1)
                          private
                          pure
                          returns (address pair)
                      {
                          pair = address(
                              uint160(
                                  uint256(
                                      keccak256(
                                          abi.encodePacked(hex'ff', factory, keccak256(abi.encodePacked(token0, token1)), initCodeHash)
                                      )
                                  )
                              )
                          );
                      }
                      /// @notice Calculates the v2 address for a pair and fetches the reserves for each token
                      /// @param factory The address of the v2 factory
                      /// @param initCodeHash The hash of the pair initcode
                      /// @param tokenA One of the tokens in the pair
                      /// @param tokenB The other token in the pair
                      /// @return pair The resultant v2 pair address
                      /// @return reserveA The reserves for tokenA
                      /// @return reserveB The reserves for tokenB
                      function pairAndReservesFor(address factory, bytes32 initCodeHash, address tokenA, address tokenB)
                          private
                          view
                          returns (address pair, uint256 reserveA, uint256 reserveB)
                      {
                          address token0;
                          (pair, token0) = pairAndToken0For(factory, initCodeHash, tokenA, tokenB);
                          (uint256 reserve0, uint256 reserve1,) = IUniswapV2Pair(pair).getReserves();
                          (reserveA, reserveB) = tokenA == token0 ? (reserve0, reserve1) : (reserve1, reserve0);
                      }
                      /// @notice Given an input asset amount returns the maximum output amount of the other asset
                      /// @param amountIn The token input amount
                      /// @param reserveIn The reserves available of the input token
                      /// @param reserveOut The reserves available of the output token
                      /// @return amountOut The output amount of the output token
                      function getAmountOut(uint256 amountIn, uint256 reserveIn, uint256 reserveOut)
                          internal
                          pure
                          returns (uint256 amountOut)
                      {
                          if (reserveIn == 0 || reserveOut == 0) revert InvalidReserves();
                          uint256 amountInWithFee = amountIn * 997;
                          uint256 numerator = amountInWithFee * reserveOut;
                          uint256 denominator = reserveIn * 1000 + amountInWithFee;
                          amountOut = numerator / denominator;
                      }
                      /// @notice Returns the input amount needed for a desired output amount in a single-hop trade
                      /// @param amountOut The desired output amount
                      /// @param reserveIn The reserves available of the input token
                      /// @param reserveOut The reserves available of the output token
                      /// @return amountIn The input amount of the input token
                      function getAmountIn(uint256 amountOut, uint256 reserveIn, uint256 reserveOut)
                          internal
                          pure
                          returns (uint256 amountIn)
                      {
                          if (reserveIn == 0 || reserveOut == 0) revert InvalidReserves();
                          uint256 numerator = reserveIn * amountOut * 1000;
                          uint256 denominator = (reserveOut - amountOut) * 997;
                          amountIn = (numerator / denominator) + 1;
                      }
                      /// @notice Returns the input amount needed for a desired output amount in a multi-hop trade
                      /// @param factory The address of the v2 factory
                      /// @param initCodeHash The hash of the pair initcode
                      /// @param amountOut The desired output amount
                      /// @param path The path of the multi-hop trade
                      /// @return amount The input amount of the input token
                      /// @return pair The first pair in the trade
                      function getAmountInMultihop(address factory, bytes32 initCodeHash, uint256 amountOut, address[] memory path)
                          internal
                          view
                          returns (uint256 amount, address pair)
                      {
                          if (path.length < 2) revert InvalidPath();
                          amount = amountOut;
                          for (uint256 i = path.length - 1; i > 0; i--) {
                              uint256 reserveIn;
                              uint256 reserveOut;
                              (pair, reserveIn, reserveOut) = pairAndReservesFor(factory, initCodeHash, path[i - 1], path[i]);
                              amount = getAmountIn(amount, reserveIn, reserveOut);
                          }
                      }
                      /// @notice Sorts two tokens to return token0 and token1
                      /// @param tokenA The first token to sort
                      /// @param tokenB The other token to sort
                      /// @return token0 The smaller token by address value
                      /// @return token1 The larger token by address value
                      function sortTokens(address tokenA, address tokenB) internal pure returns (address token0, address token1) {
                          (token0, token1) = tokenA < tokenB ? (tokenA, tokenB) : (tokenB, tokenA);
                      }
                  }
                  pragma solidity ^0.8.17;
                  import {IAllowanceTransfer} from 'permit2/src/interfaces/IAllowanceTransfer.sol';
                  import {SafeCast160} from 'permit2/src/libraries/SafeCast160.sol';
                  import {Payments} from './Payments.sol';
                  import {Constants} from '../libraries/Constants.sol';
                  import {RouterImmutables} from '../base/RouterImmutables.sol';
                  /// @title Payments through Permit2
                  /// @notice Performs interactions with Permit2 to transfer tokens
                  abstract contract Permit2Payments is Payments {
                      using SafeCast160 for uint256;
                      error FromAddressIsNotOwner();
                      /// @notice Performs a transferFrom on Permit2
                      /// @param token The token to transfer
                      /// @param from The address to transfer from
                      /// @param to The recipient of the transfer
                      /// @param amount The amount to transfer
                      function permit2TransferFrom(address token, address from, address to, uint160 amount) internal {
                          PERMIT2.transferFrom(from, to, amount, token);
                      }
                      /// @notice Performs a batch transferFrom on Permit2
                      /// @param batchDetails An array detailing each of the transfers that should occur
                      function permit2TransferFrom(IAllowanceTransfer.AllowanceTransferDetails[] memory batchDetails, address owner)
                          internal
                      {
                          uint256 batchLength = batchDetails.length;
                          for (uint256 i = 0; i < batchLength; ++i) {
                              if (batchDetails[i].from != owner) revert FromAddressIsNotOwner();
                          }
                          PERMIT2.transferFrom(batchDetails);
                      }
                      /// @notice Either performs a regular payment or transferFrom on Permit2, depending on the payer address
                      /// @param token The token to transfer
                      /// @param payer The address to pay for the transfer
                      /// @param recipient The recipient of the transfer
                      /// @param amount The amount to transfer
                      function payOrPermit2Transfer(address token, address payer, address recipient, uint256 amount) internal {
                          if (payer == address(this)) pay(token, recipient, amount);
                          else permit2TransferFrom(token, payer, recipient, amount.toUint160());
                      }
                  }
                  // SPDX-License-Identifier: GPL-3.0-or-later
                  pragma solidity ^0.8.17;
                  import {IWETH9} from '../interfaces/external/IWETH9.sol';
                  /// @title Constant state
                  /// @notice Constant state used by the Universal Router
                  library Constants {
                      /// @dev Used for identifying cases when this contract's balance of a token is to be used as an input
                      /// This value is equivalent to 1<<255, i.e. a singular 1 in the most significant bit.
                      uint256 internal constant CONTRACT_BALANCE = 0x8000000000000000000000000000000000000000000000000000000000000000;
                      /// @dev Used for identifying cases when a v2 pair has already received input tokens
                      uint256 internal constant ALREADY_PAID = 0;
                      /// @dev Used as a flag for identifying the transfer of ETH instead of a token
                      address internal constant ETH = address(0);
                      /// @dev Used as a flag for identifying that msg.sender should be used, saves gas by sending more 0 bytes
                      address internal constant MSG_SENDER = address(1);
                      /// @dev Used as a flag for identifying address(this) should be used, saves gas by sending more 0 bytes
                      address internal constant ADDRESS_THIS = address(2);
                      /// @dev The length of the bytes encoded address
                      uint256 internal constant ADDR_SIZE = 20;
                      /// @dev The length of the bytes encoded fee
                      uint256 internal constant V3_FEE_SIZE = 3;
                      /// @dev The offset of a single token address (20) and pool fee (3)
                      uint256 internal constant NEXT_V3_POOL_OFFSET = ADDR_SIZE + V3_FEE_SIZE;
                      /// @dev The offset of an encoded pool key
                      /// Token (20) + Fee (3) + Token (20) = 43
                      uint256 internal constant V3_POP_OFFSET = NEXT_V3_POOL_OFFSET + ADDR_SIZE;
                      /// @dev The minimum length of an encoding that contains 2 or more pools
                      uint256 internal constant MULTIPLE_V3_POOLS_MIN_LENGTH = V3_POP_OFFSET + NEXT_V3_POOL_OFFSET;
                  }
                  // SPDX-License-Identifier: GPL-3.0-or-later
                  pragma solidity >=0.6.0;
                  import {BytesLib} from './BytesLib.sol';
                  import {Constants} from '../../../libraries/Constants.sol';
                  /// @title Functions for manipulating path data for multihop swaps
                  library V3Path {
                      using BytesLib for bytes;
                      /// @notice Returns true iff the path contains two or more pools
                      /// @param path The encoded swap path
                      /// @return True if path contains two or more pools, otherwise false
                      function hasMultiplePools(bytes calldata path) internal pure returns (bool) {
                          return path.length >= Constants.MULTIPLE_V3_POOLS_MIN_LENGTH;
                      }
                      /// @notice Decodes the first pool in path
                      /// @param path The bytes encoded swap path
                      /// @return tokenA The first token of the given pool
                      /// @return fee The fee level of the pool
                      /// @return tokenB The second token of the given pool
                      function decodeFirstPool(bytes calldata path) internal pure returns (address, uint24, address) {
                          return path.toPool();
                      }
                      /// @notice Gets the segment corresponding to the first pool in the path
                      /// @param path The bytes encoded swap path
                      /// @return The segment containing all data necessary to target the first pool in the path
                      function getFirstPool(bytes calldata path) internal pure returns (bytes calldata) {
                          return path[:Constants.V3_POP_OFFSET];
                      }
                      function decodeFirstToken(bytes calldata path) internal pure returns (address tokenA) {
                          tokenA = path.toAddress();
                      }
                      /// @notice Skips a token + fee element
                      /// @param path The swap path
                      function skipToken(bytes calldata path) internal pure returns (bytes calldata) {
                          return path[Constants.NEXT_V3_POOL_OFFSET:];
                      }
                  }
                  // SPDX-License-Identifier: GPL-2.0-or-later
                  pragma solidity >=0.5.0;
                  /// @title Safe casting methods
                  /// @notice Contains methods for safely casting between types
                  library SafeCast {
                      /// @notice Cast a uint256 to a uint160, revert on overflow
                      /// @param y The uint256 to be downcasted
                      /// @return z The downcasted integer, now type uint160
                      function toUint160(uint256 y) internal pure returns (uint160 z) {
                          require((z = uint160(y)) == y);
                      }
                      /// @notice Cast a int256 to a int128, revert on overflow or underflow
                      /// @param y The int256 to be downcasted
                      /// @return z The downcasted integer, now type int128
                      function toInt128(int256 y) internal pure returns (int128 z) {
                          require((z = int128(y)) == y);
                      }
                      /// @notice Cast a uint256 to a int256, revert on overflow
                      /// @param y The uint256 to be casted
                      /// @return z The casted integer, now type int256
                      function toInt256(uint256 y) internal pure returns (int256 z) {
                          require(y < 2**255);
                          z = int256(y);
                      }
                  }
                  // SPDX-License-Identifier: GPL-2.0-or-later
                  pragma solidity >=0.5.0;
                  import './pool/IUniswapV3PoolImmutables.sol';
                  import './pool/IUniswapV3PoolState.sol';
                  import './pool/IUniswapV3PoolDerivedState.sol';
                  import './pool/IUniswapV3PoolActions.sol';
                  import './pool/IUniswapV3PoolOwnerActions.sol';
                  import './pool/IUniswapV3PoolEvents.sol';
                  /// @title The interface for a Uniswap V3 Pool
                  /// @notice A Uniswap pool facilitates swapping and automated market making between any two assets that strictly conform
                  /// to the ERC20 specification
                  /// @dev The pool interface is broken up into many smaller pieces
                  interface IUniswapV3Pool is
                      IUniswapV3PoolImmutables,
                      IUniswapV3PoolState,
                      IUniswapV3PoolDerivedState,
                      IUniswapV3PoolActions,
                      IUniswapV3PoolOwnerActions,
                      IUniswapV3PoolEvents
                  {
                  }
                  // SPDX-License-Identifier: GPL-2.0-or-later
                  pragma solidity >=0.5.0;
                  /// @title Callback for IUniswapV3PoolActions#swap
                  /// @notice Any contract that calls IUniswapV3PoolActions#swap must implement this interface
                  interface IUniswapV3SwapCallback {
                      /// @notice Called to `msg.sender` after executing a swap via IUniswapV3Pool#swap.
                      /// @dev In the implementation you must pay the pool tokens owed for the swap.
                      /// The caller of this method must be checked to be a UniswapV3Pool deployed by the canonical UniswapV3Factory.
                      /// amount0Delta and amount1Delta can both be 0 if no tokens were swapped.
                      /// @param amount0Delta The amount of token0 that was sent (negative) or must be received (positive) by the pool by
                      /// the end of the swap. If positive, the callback must send that amount of token0 to the pool.
                      /// @param amount1Delta The amount of token1 that was sent (negative) or must be received (positive) by the pool by
                      /// the end of the swap. If positive, the callback must send that amount of token1 to the pool.
                      /// @param data Any data passed through by the caller via the IUniswapV3PoolActions#swap call
                      function uniswapV3SwapCallback(
                          int256 amount0Delta,
                          int256 amount1Delta,
                          bytes calldata data
                      ) external;
                  }
                  // SPDX-License-Identifier: MIT
                  // OpenZeppelin Contracts v4.4.1 (utils/introspection/IERC165.sol)
                  pragma solidity ^0.8.0;
                  /**
                   * @dev Interface of the ERC165 standard, as defined in the
                   * https://eips.ethereum.org/EIPS/eip-165[EIP].
                   *
                   * Implementers can declare support of contract interfaces, which can then be
                   * queried by others ({ERC165Checker}).
                   *
                   * For an implementation, see {ERC165}.
                   */
                  interface IERC165 {
                      /**
                       * @dev Returns true if this contract implements the interface defined by
                       * `interfaceId`. See the corresponding
                       * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[EIP section]
                       * to learn more about how these ids are created.
                       *
                       * This function call must use less than 30 000 gas.
                       */
                      function supportsInterface(bytes4 interfaceId) external view returns (bool);
                  }
                  // SPDX-License-Identifier: MIT
                  // OpenZeppelin Contracts (last updated v4.6.0) (token/ERC20/IERC20.sol)
                  pragma solidity ^0.8.0;
                  /**
                   * @dev Interface of the ERC20 standard as defined in the EIP.
                   */
                  interface IERC20 {
                      /**
                       * @dev Emitted when `value` tokens are moved from one account (`from`) to
                       * another (`to`).
                       *
                       * Note that `value` may be zero.
                       */
                      event Transfer(address indexed from, address indexed to, uint256 value);
                      /**
                       * @dev Emitted when the allowance of a `spender` for an `owner` is set by
                       * a call to {approve}. `value` is the new allowance.
                       */
                      event Approval(address indexed owner, address indexed spender, uint256 value);
                      /**
                       * @dev Returns the amount of tokens in existence.
                       */
                      function totalSupply() external view returns (uint256);
                      /**
                       * @dev Returns the amount of tokens owned by `account`.
                       */
                      function balanceOf(address account) external view returns (uint256);
                      /**
                       * @dev Moves `amount` tokens from the caller's account to `to`.
                       *
                       * Returns a boolean value indicating whether the operation succeeded.
                       *
                       * Emits a {Transfer} event.
                       */
                      function transfer(address to, uint256 amount) external returns (bool);
                      /**
                       * @dev Returns the remaining number of tokens that `spender` will be
                       * allowed to spend on behalf of `owner` through {transferFrom}. This is
                       * zero by default.
                       *
                       * This value changes when {approve} or {transferFrom} are called.
                       */
                      function allowance(address owner, address spender) external view returns (uint256);
                      /**
                       * @dev Sets `amount` as the allowance of `spender` over the caller's tokens.
                       *
                       * Returns a boolean value indicating whether the operation succeeded.
                       *
                       * IMPORTANT: Beware that changing an allowance with this method brings the risk
                       * that someone may use both the old and the new allowance by unfortunate
                       * transaction ordering. One possible solution to mitigate this race
                       * condition is to first reduce the spender's allowance to 0 and set the
                       * desired value afterwards:
                       * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
                       *
                       * Emits an {Approval} event.
                       */
                      function approve(address spender, uint256 amount) external returns (bool);
                      /**
                       * @dev Moves `amount` tokens from `from` to `to` using the
                       * allowance mechanism. `amount` is then deducted from the caller's
                       * allowance.
                       *
                       * Returns a boolean value indicating whether the operation succeeded.
                       *
                       * Emits a {Transfer} event.
                       */
                      function transferFrom(
                          address from,
                          address to,
                          uint256 amount
                      ) external returns (bool);
                  }
                  // SPDX-License-Identifier: MIT
                  pragma solidity ^0.8.17;
                  library SafeCast160 {
                      /// @notice Thrown when a valude greater than type(uint160).max is cast to uint160
                      error UnsafeCast();
                      /// @notice Safely casts uint256 to uint160
                      /// @param value The uint256 to be cast
                      function toUint160(uint256 value) internal pure returns (uint160) {
                          if (value > type(uint160).max) revert UnsafeCast();
                          return uint160(value);
                      }
                  }
                  // SPDX-License-Identifier: GPL-2.0-or-later
                  pragma solidity >=0.5.0;
                  /// @title Pool state that never changes
                  /// @notice These parameters are fixed for a pool forever, i.e., the methods will always return the same values
                  interface IUniswapV3PoolImmutables {
                      /// @notice The contract that deployed the pool, which must adhere to the IUniswapV3Factory interface
                      /// @return The contract address
                      function factory() external view returns (address);
                      /// @notice The first of the two tokens of the pool, sorted by address
                      /// @return The token contract address
                      function token0() external view returns (address);
                      /// @notice The second of the two tokens of the pool, sorted by address
                      /// @return The token contract address
                      function token1() external view returns (address);
                      /// @notice The pool's fee in hundredths of a bip, i.e. 1e-6
                      /// @return The fee
                      function fee() external view returns (uint24);
                      /// @notice The pool tick spacing
                      /// @dev Ticks can only be used at multiples of this value, minimum of 1 and always positive
                      /// e.g.: a tickSpacing of 3 means ticks can be initialized every 3rd tick, i.e., ..., -6, -3, 0, 3, 6, ...
                      /// This value is an int24 to avoid casting even though it is always positive.
                      /// @return The tick spacing
                      function tickSpacing() external view returns (int24);
                      /// @notice The maximum amount of position liquidity that can use any tick in the range
                      /// @dev This parameter is enforced per tick to prevent liquidity from overflowing a uint128 at any point, and
                      /// also prevents out-of-range liquidity from being used to prevent adding in-range liquidity to a pool
                      /// @return The max amount of liquidity per tick
                      function maxLiquidityPerTick() external view returns (uint128);
                  }
                  // SPDX-License-Identifier: GPL-2.0-or-later
                  pragma solidity >=0.5.0;
                  /// @title Pool state that can change
                  /// @notice These methods compose the pool's state, and can change with any frequency including multiple times
                  /// per transaction
                  interface IUniswapV3PoolState {
                      /// @notice The 0th storage slot in the pool stores many values, and is exposed as a single method to save gas
                      /// when accessed externally.
                      /// @return sqrtPriceX96 The current price of the pool as a sqrt(token1/token0) Q64.96 value
                      /// tick The current tick of the pool, i.e. according to the last tick transition that was run.
                      /// This value may not always be equal to SqrtTickMath.getTickAtSqrtRatio(sqrtPriceX96) if the price is on a tick
                      /// boundary.
                      /// observationIndex The index of the last oracle observation that was written,
                      /// observationCardinality The current maximum number of observations stored in the pool,
                      /// observationCardinalityNext The next maximum number of observations, to be updated when the observation.
                      /// feeProtocol The protocol fee for both tokens of the pool.
                      /// Encoded as two 4 bit values, where the protocol fee of token1 is shifted 4 bits and the protocol fee of token0
                      /// is the lower 4 bits. Used as the denominator of a fraction of the swap fee, e.g. 4 means 1/4th of the swap fee.
                      /// unlocked Whether the pool is currently locked to reentrancy
                      function slot0()
                          external
                          view
                          returns (
                              uint160 sqrtPriceX96,
                              int24 tick,
                              uint16 observationIndex,
                              uint16 observationCardinality,
                              uint16 observationCardinalityNext,
                              uint8 feeProtocol,
                              bool unlocked
                          );
                      /// @notice The fee growth as a Q128.128 fees of token0 collected per unit of liquidity for the entire life of the pool
                      /// @dev This value can overflow the uint256
                      function feeGrowthGlobal0X128() external view returns (uint256);
                      /// @notice The fee growth as a Q128.128 fees of token1 collected per unit of liquidity for the entire life of the pool
                      /// @dev This value can overflow the uint256
                      function feeGrowthGlobal1X128() external view returns (uint256);
                      /// @notice The amounts of token0 and token1 that are owed to the protocol
                      /// @dev Protocol fees will never exceed uint128 max in either token
                      function protocolFees() external view returns (uint128 token0, uint128 token1);
                      /// @notice The currently in range liquidity available to the pool
                      /// @dev This value has no relationship to the total liquidity across all ticks
                      function liquidity() external view returns (uint128);
                      /// @notice Look up information about a specific tick in the pool
                      /// @param tick The tick to look up
                      /// @return liquidityGross the total amount of position liquidity that uses the pool either as tick lower or
                      /// tick upper,
                      /// liquidityNet how much liquidity changes when the pool price crosses the tick,
                      /// feeGrowthOutside0X128 the fee growth on the other side of the tick from the current tick in token0,
                      /// feeGrowthOutside1X128 the fee growth on the other side of the tick from the current tick in token1,
                      /// tickCumulativeOutside the cumulative tick value on the other side of the tick from the current tick
                      /// secondsPerLiquidityOutsideX128 the seconds spent per liquidity on the other side of the tick from the current tick,
                      /// secondsOutside the seconds spent on the other side of the tick from the current tick,
                      /// initialized Set to true if the tick is initialized, i.e. liquidityGross is greater than 0, otherwise equal to false.
                      /// Outside values can only be used if the tick is initialized, i.e. if liquidityGross is greater than 0.
                      /// In addition, these values are only relative and must be used only in comparison to previous snapshots for
                      /// a specific position.
                      function ticks(int24 tick)
                          external
                          view
                          returns (
                              uint128 liquidityGross,
                              int128 liquidityNet,
                              uint256 feeGrowthOutside0X128,
                              uint256 feeGrowthOutside1X128,
                              int56 tickCumulativeOutside,
                              uint160 secondsPerLiquidityOutsideX128,
                              uint32 secondsOutside,
                              bool initialized
                          );
                      /// @notice Returns 256 packed tick initialized boolean values. See TickBitmap for more information
                      function tickBitmap(int16 wordPosition) external view returns (uint256);
                      /// @notice Returns the information about a position by the position's key
                      /// @param key The position's key is a hash of a preimage composed by the owner, tickLower and tickUpper
                      /// @return _liquidity The amount of liquidity in the position,
                      /// Returns feeGrowthInside0LastX128 fee growth of token0 inside the tick range as of the last mint/burn/poke,
                      /// Returns feeGrowthInside1LastX128 fee growth of token1 inside the tick range as of the last mint/burn/poke,
                      /// Returns tokensOwed0 the computed amount of token0 owed to the position as of the last mint/burn/poke,
                      /// Returns tokensOwed1 the computed amount of token1 owed to the position as of the last mint/burn/poke
                      function positions(bytes32 key)
                          external
                          view
                          returns (
                              uint128 _liquidity,
                              uint256 feeGrowthInside0LastX128,
                              uint256 feeGrowthInside1LastX128,
                              uint128 tokensOwed0,
                              uint128 tokensOwed1
                          );
                      /// @notice Returns data about a specific observation index
                      /// @param index The element of the observations array to fetch
                      /// @dev You most likely want to use #observe() instead of this method to get an observation as of some amount of time
                      /// ago, rather than at a specific index in the array.
                      /// @return blockTimestamp The timestamp of the observation,
                      /// Returns tickCumulative the tick multiplied by seconds elapsed for the life of the pool as of the observation timestamp,
                      /// Returns secondsPerLiquidityCumulativeX128 the seconds per in range liquidity for the life of the pool as of the observation timestamp,
                      /// Returns initialized whether the observation has been initialized and the values are safe to use
                      function observations(uint256 index)
                          external
                          view
                          returns (
                              uint32 blockTimestamp,
                              int56 tickCumulative,
                              uint160 secondsPerLiquidityCumulativeX128,
                              bool initialized
                          );
                  }
                  // SPDX-License-Identifier: GPL-2.0-or-later
                  pragma solidity >=0.5.0;
                  /// @title Pool state that is not stored
                  /// @notice Contains view functions to provide information about the pool that is computed rather than stored on the
                  /// blockchain. The functions here may have variable gas costs.
                  interface IUniswapV3PoolDerivedState {
                      /// @notice Returns the cumulative tick and liquidity as of each timestamp `secondsAgo` from the current block timestamp
                      /// @dev To get a time weighted average tick or liquidity-in-range, you must call this with two values, one representing
                      /// the beginning of the period and another for the end of the period. E.g., to get the last hour time-weighted average tick,
                      /// you must call it with secondsAgos = [3600, 0].
                      /// @dev The time weighted average tick represents the geometric time weighted average price of the pool, in
                      /// log base sqrt(1.0001) of token1 / token0. The TickMath library can be used to go from a tick value to a ratio.
                      /// @param secondsAgos From how long ago each cumulative tick and liquidity value should be returned
                      /// @return tickCumulatives Cumulative tick values as of each `secondsAgos` from the current block timestamp
                      /// @return secondsPerLiquidityCumulativeX128s Cumulative seconds per liquidity-in-range value as of each `secondsAgos` from the current block
                      /// timestamp
                      function observe(uint32[] calldata secondsAgos)
                          external
                          view
                          returns (int56[] memory tickCumulatives, uint160[] memory secondsPerLiquidityCumulativeX128s);
                      /// @notice Returns a snapshot of the tick cumulative, seconds per liquidity and seconds inside a tick range
                      /// @dev Snapshots must only be compared to other snapshots, taken over a period for which a position existed.
                      /// I.e., snapshots cannot be compared if a position is not held for the entire period between when the first
                      /// snapshot is taken and the second snapshot is taken.
                      /// @param tickLower The lower tick of the range
                      /// @param tickUpper The upper tick of the range
                      /// @return tickCumulativeInside The snapshot of the tick accumulator for the range
                      /// @return secondsPerLiquidityInsideX128 The snapshot of seconds per liquidity for the range
                      /// @return secondsInside The snapshot of seconds per liquidity for the range
                      function snapshotCumulativesInside(int24 tickLower, int24 tickUpper)
                          external
                          view
                          returns (
                              int56 tickCumulativeInside,
                              uint160 secondsPerLiquidityInsideX128,
                              uint32 secondsInside
                          );
                  }
                  // SPDX-License-Identifier: GPL-2.0-or-later
                  pragma solidity >=0.5.0;
                  /// @title Permissionless pool actions
                  /// @notice Contains pool methods that can be called by anyone
                  interface IUniswapV3PoolActions {
                      /// @notice Sets the initial price for the pool
                      /// @dev Price is represented as a sqrt(amountToken1/amountToken0) Q64.96 value
                      /// @param sqrtPriceX96 the initial sqrt price of the pool as a Q64.96
                      function initialize(uint160 sqrtPriceX96) external;
                      /// @notice Adds liquidity for the given recipient/tickLower/tickUpper position
                      /// @dev The caller of this method receives a callback in the form of IUniswapV3MintCallback#uniswapV3MintCallback
                      /// in which they must pay any token0 or token1 owed for the liquidity. The amount of token0/token1 due depends
                      /// on tickLower, tickUpper, the amount of liquidity, and the current price.
                      /// @param recipient The address for which the liquidity will be created
                      /// @param tickLower The lower tick of the position in which to add liquidity
                      /// @param tickUpper The upper tick of the position in which to add liquidity
                      /// @param amount The amount of liquidity to mint
                      /// @param data Any data that should be passed through to the callback
                      /// @return amount0 The amount of token0 that was paid to mint the given amount of liquidity. Matches the value in the callback
                      /// @return amount1 The amount of token1 that was paid to mint the given amount of liquidity. Matches the value in the callback
                      function mint(
                          address recipient,
                          int24 tickLower,
                          int24 tickUpper,
                          uint128 amount,
                          bytes calldata data
                      ) external returns (uint256 amount0, uint256 amount1);
                      /// @notice Collects tokens owed to a position
                      /// @dev Does not recompute fees earned, which must be done either via mint or burn of any amount of liquidity.
                      /// Collect must be called by the position owner. To withdraw only token0 or only token1, amount0Requested or
                      /// amount1Requested may be set to zero. To withdraw all tokens owed, caller may pass any value greater than the
                      /// actual tokens owed, e.g. type(uint128).max. Tokens owed may be from accumulated swap fees or burned liquidity.
                      /// @param recipient The address which should receive the fees collected
                      /// @param tickLower The lower tick of the position for which to collect fees
                      /// @param tickUpper The upper tick of the position for which to collect fees
                      /// @param amount0Requested How much token0 should be withdrawn from the fees owed
                      /// @param amount1Requested How much token1 should be withdrawn from the fees owed
                      /// @return amount0 The amount of fees collected in token0
                      /// @return amount1 The amount of fees collected in token1
                      function collect(
                          address recipient,
                          int24 tickLower,
                          int24 tickUpper,
                          uint128 amount0Requested,
                          uint128 amount1Requested
                      ) external returns (uint128 amount0, uint128 amount1);
                      /// @notice Burn liquidity from the sender and account tokens owed for the liquidity to the position
                      /// @dev Can be used to trigger a recalculation of fees owed to a position by calling with an amount of 0
                      /// @dev Fees must be collected separately via a call to #collect
                      /// @param tickLower The lower tick of the position for which to burn liquidity
                      /// @param tickUpper The upper tick of the position for which to burn liquidity
                      /// @param amount How much liquidity to burn
                      /// @return amount0 The amount of token0 sent to the recipient
                      /// @return amount1 The amount of token1 sent to the recipient
                      function burn(
                          int24 tickLower,
                          int24 tickUpper,
                          uint128 amount
                      ) external returns (uint256 amount0, uint256 amount1);
                      /// @notice Swap token0 for token1, or token1 for token0
                      /// @dev The caller of this method receives a callback in the form of IUniswapV3SwapCallback#uniswapV3SwapCallback
                      /// @param recipient The address to receive the output of the swap
                      /// @param zeroForOne The direction of the swap, true for token0 to token1, false for token1 to token0
                      /// @param amountSpecified The amount of the swap, which implicitly configures the swap as exact input (positive), or exact output (negative)
                      /// @param sqrtPriceLimitX96 The Q64.96 sqrt price limit. If zero for one, the price cannot be less than this
                      /// value after the swap. If one for zero, the price cannot be greater than this value after the swap
                      /// @param data Any data to be passed through to the callback
                      /// @return amount0 The delta of the balance of token0 of the pool, exact when negative, minimum when positive
                      /// @return amount1 The delta of the balance of token1 of the pool, exact when negative, minimum when positive
                      function swap(
                          address recipient,
                          bool zeroForOne,
                          int256 amountSpecified,
                          uint160 sqrtPriceLimitX96,
                          bytes calldata data
                      ) external returns (int256 amount0, int256 amount1);
                      /// @notice Receive token0 and/or token1 and pay it back, plus a fee, in the callback
                      /// @dev The caller of this method receives a callback in the form of IUniswapV3FlashCallback#uniswapV3FlashCallback
                      /// @dev Can be used to donate underlying tokens pro-rata to currently in-range liquidity providers by calling
                      /// with 0 amount{0,1} and sending the donation amount(s) from the callback
                      /// @param recipient The address which will receive the token0 and token1 amounts
                      /// @param amount0 The amount of token0 to send
                      /// @param amount1 The amount of token1 to send
                      /// @param data Any data to be passed through to the callback
                      function flash(
                          address recipient,
                          uint256 amount0,
                          uint256 amount1,
                          bytes calldata data
                      ) external;
                      /// @notice Increase the maximum number of price and liquidity observations that this pool will store
                      /// @dev This method is no-op if the pool already has an observationCardinalityNext greater than or equal to
                      /// the input observationCardinalityNext.
                      /// @param observationCardinalityNext The desired minimum number of observations for the pool to store
                      function increaseObservationCardinalityNext(uint16 observationCardinalityNext) external;
                  }
                  // SPDX-License-Identifier: GPL-2.0-or-later
                  pragma solidity >=0.5.0;
                  /// @title Permissioned pool actions
                  /// @notice Contains pool methods that may only be called by the factory owner
                  interface IUniswapV3PoolOwnerActions {
                      /// @notice Set the denominator of the protocol's % share of the fees
                      /// @param feeProtocol0 new protocol fee for token0 of the pool
                      /// @param feeProtocol1 new protocol fee for token1 of the pool
                      function setFeeProtocol(uint8 feeProtocol0, uint8 feeProtocol1) external;
                      /// @notice Collect the protocol fee accrued to the pool
                      /// @param recipient The address to which collected protocol fees should be sent
                      /// @param amount0Requested The maximum amount of token0 to send, can be 0 to collect fees in only token1
                      /// @param amount1Requested The maximum amount of token1 to send, can be 0 to collect fees in only token0
                      /// @return amount0 The protocol fee collected in token0
                      /// @return amount1 The protocol fee collected in token1
                      function collectProtocol(
                          address recipient,
                          uint128 amount0Requested,
                          uint128 amount1Requested
                      ) external returns (uint128 amount0, uint128 amount1);
                  }
                  // SPDX-License-Identifier: GPL-2.0-or-later
                  pragma solidity >=0.5.0;
                  /// @title Events emitted by a pool
                  /// @notice Contains all events emitted by the pool
                  interface IUniswapV3PoolEvents {
                      /// @notice Emitted exactly once by a pool when #initialize is first called on the pool
                      /// @dev Mint/Burn/Swap cannot be emitted by the pool before Initialize
                      /// @param sqrtPriceX96 The initial sqrt price of the pool, as a Q64.96
                      /// @param tick The initial tick of the pool, i.e. log base 1.0001 of the starting price of the pool
                      event Initialize(uint160 sqrtPriceX96, int24 tick);
                      /// @notice Emitted when liquidity is minted for a given position
                      /// @param sender The address that minted the liquidity
                      /// @param owner The owner of the position and recipient of any minted liquidity
                      /// @param tickLower The lower tick of the position
                      /// @param tickUpper The upper tick of the position
                      /// @param amount The amount of liquidity minted to the position range
                      /// @param amount0 How much token0 was required for the minted liquidity
                      /// @param amount1 How much token1 was required for the minted liquidity
                      event Mint(
                          address sender,
                          address indexed owner,
                          int24 indexed tickLower,
                          int24 indexed tickUpper,
                          uint128 amount,
                          uint256 amount0,
                          uint256 amount1
                      );
                      /// @notice Emitted when fees are collected by the owner of a position
                      /// @dev Collect events may be emitted with zero amount0 and amount1 when the caller chooses not to collect fees
                      /// @param owner The owner of the position for which fees are collected
                      /// @param tickLower The lower tick of the position
                      /// @param tickUpper The upper tick of the position
                      /// @param amount0 The amount of token0 fees collected
                      /// @param amount1 The amount of token1 fees collected
                      event Collect(
                          address indexed owner,
                          address recipient,
                          int24 indexed tickLower,
                          int24 indexed tickUpper,
                          uint128 amount0,
                          uint128 amount1
                      );
                      /// @notice Emitted when a position's liquidity is removed
                      /// @dev Does not withdraw any fees earned by the liquidity position, which must be withdrawn via #collect
                      /// @param owner The owner of the position for which liquidity is removed
                      /// @param tickLower The lower tick of the position
                      /// @param tickUpper The upper tick of the position
                      /// @param amount The amount of liquidity to remove
                      /// @param amount0 The amount of token0 withdrawn
                      /// @param amount1 The amount of token1 withdrawn
                      event Burn(
                          address indexed owner,
                          int24 indexed tickLower,
                          int24 indexed tickUpper,
                          uint128 amount,
                          uint256 amount0,
                          uint256 amount1
                      );
                      /// @notice Emitted by the pool for any swaps between token0 and token1
                      /// @param sender The address that initiated the swap call, and that received the callback
                      /// @param recipient The address that received the output of the swap
                      /// @param amount0 The delta of the token0 balance of the pool
                      /// @param amount1 The delta of the token1 balance of the pool
                      /// @param sqrtPriceX96 The sqrt(price) of the pool after the swap, as a Q64.96
                      /// @param liquidity The liquidity of the pool after the swap
                      /// @param tick The log base 1.0001 of price of the pool after the swap
                      event Swap(
                          address indexed sender,
                          address indexed recipient,
                          int256 amount0,
                          int256 amount1,
                          uint160 sqrtPriceX96,
                          uint128 liquidity,
                          int24 tick
                      );
                      /// @notice Emitted by the pool for any flashes of token0/token1
                      /// @param sender The address that initiated the swap call, and that received the callback
                      /// @param recipient The address that received the tokens from flash
                      /// @param amount0 The amount of token0 that was flashed
                      /// @param amount1 The amount of token1 that was flashed
                      /// @param paid0 The amount of token0 paid for the flash, which can exceed the amount0 plus the fee
                      /// @param paid1 The amount of token1 paid for the flash, which can exceed the amount1 plus the fee
                      event Flash(
                          address indexed sender,
                          address indexed recipient,
                          uint256 amount0,
                          uint256 amount1,
                          uint256 paid0,
                          uint256 paid1
                      );
                      /// @notice Emitted by the pool for increases to the number of observations that can be stored
                      /// @dev observationCardinalityNext is not the observation cardinality until an observation is written at the index
                      /// just before a mint/swap/burn.
                      /// @param observationCardinalityNextOld The previous value of the next observation cardinality
                      /// @param observationCardinalityNextNew The updated value of the next observation cardinality
                      event IncreaseObservationCardinalityNext(
                          uint16 observationCardinalityNextOld,
                          uint16 observationCardinalityNextNew
                      );
                      /// @notice Emitted when the protocol fee is changed by the pool
                      /// @param feeProtocol0Old The previous value of the token0 protocol fee
                      /// @param feeProtocol1Old The previous value of the token1 protocol fee
                      /// @param feeProtocol0New The updated value of the token0 protocol fee
                      /// @param feeProtocol1New The updated value of the token1 protocol fee
                      event SetFeeProtocol(uint8 feeProtocol0Old, uint8 feeProtocol1Old, uint8 feeProtocol0New, uint8 feeProtocol1New);
                      /// @notice Emitted when the collected protocol fees are withdrawn by the factory owner
                      /// @param sender The address that collects the protocol fees
                      /// @param recipient The address that receives the collected protocol fees
                      /// @param amount0 The amount of token0 protocol fees that is withdrawn
                      /// @param amount0 The amount of token1 protocol fees that is withdrawn
                      event CollectProtocol(address indexed sender, address indexed recipient, uint128 amount0, uint128 amount1);
                  }
                  

                  File 2 of 7: Permit2
                  // SPDX-License-Identifier: AGPL-3.0-only
                  pragma solidity >=0.8.0;
                  /// @notice Modern and gas efficient ERC20 + EIP-2612 implementation.
                  /// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/tokens/ERC20.sol)
                  /// @author Modified from Uniswap (https://github.com/Uniswap/uniswap-v2-core/blob/master/contracts/UniswapV2ERC20.sol)
                  /// @dev Do not manually set balances without updating totalSupply, as the sum of all user balances must not exceed it.
                  abstract contract ERC20 {
                      /*//////////////////////////////////////////////////////////////
                                                   EVENTS
                      //////////////////////////////////////////////////////////////*/
                      event Transfer(address indexed from, address indexed to, uint256 amount);
                      event Approval(address indexed owner, address indexed spender, uint256 amount);
                      /*//////////////////////////////////////////////////////////////
                                              METADATA STORAGE
                      //////////////////////////////////////////////////////////////*/
                      string public name;
                      string public symbol;
                      uint8 public immutable decimals;
                      /*//////////////////////////////////////////////////////////////
                                                ERC20 STORAGE
                      //////////////////////////////////////////////////////////////*/
                      uint256 public totalSupply;
                      mapping(address => uint256) public balanceOf;
                      mapping(address => mapping(address => uint256)) public allowance;
                      /*//////////////////////////////////////////////////////////////
                                              EIP-2612 STORAGE
                      //////////////////////////////////////////////////////////////*/
                      uint256 internal immutable INITIAL_CHAIN_ID;
                      bytes32 internal immutable INITIAL_DOMAIN_SEPARATOR;
                      mapping(address => uint256) public nonces;
                      /*//////////////////////////////////////////////////////////////
                                                 CONSTRUCTOR
                      //////////////////////////////////////////////////////////////*/
                      constructor(
                          string memory _name,
                          string memory _symbol,
                          uint8 _decimals
                      ) {
                          name = _name;
                          symbol = _symbol;
                          decimals = _decimals;
                          INITIAL_CHAIN_ID = block.chainid;
                          INITIAL_DOMAIN_SEPARATOR = computeDomainSeparator();
                      }
                      /*//////////////////////////////////////////////////////////////
                                                 ERC20 LOGIC
                      //////////////////////////////////////////////////////////////*/
                      function approve(address spender, uint256 amount) public virtual returns (bool) {
                          allowance[msg.sender][spender] = amount;
                          emit Approval(msg.sender, spender, amount);
                          return true;
                      }
                      function transfer(address to, uint256 amount) public virtual returns (bool) {
                          balanceOf[msg.sender] -= amount;
                          // Cannot overflow because the sum of all user
                          // balances can't exceed the max uint256 value.
                          unchecked {
                              balanceOf[to] += amount;
                          }
                          emit Transfer(msg.sender, to, amount);
                          return true;
                      }
                      function transferFrom(
                          address from,
                          address to,
                          uint256 amount
                      ) public virtual returns (bool) {
                          uint256 allowed = allowance[from][msg.sender]; // Saves gas for limited approvals.
                          if (allowed != type(uint256).max) allowance[from][msg.sender] = allowed - amount;
                          balanceOf[from] -= amount;
                          // Cannot overflow because the sum of all user
                          // balances can't exceed the max uint256 value.
                          unchecked {
                              balanceOf[to] += amount;
                          }
                          emit Transfer(from, to, amount);
                          return true;
                      }
                      /*//////////////////////////////////////////////////////////////
                                               EIP-2612 LOGIC
                      //////////////////////////////////////////////////////////////*/
                      function permit(
                          address owner,
                          address spender,
                          uint256 value,
                          uint256 deadline,
                          uint8 v,
                          bytes32 r,
                          bytes32 s
                      ) public virtual {
                          require(deadline >= block.timestamp, "PERMIT_DEADLINE_EXPIRED");
                          // Unchecked because the only math done is incrementing
                          // the owner's nonce which cannot realistically overflow.
                          unchecked {
                              address recoveredAddress = ecrecover(
                                  keccak256(
                                      abi.encodePacked(
                                          "\\x19\\x01",
                                          DOMAIN_SEPARATOR(),
                                          keccak256(
                                              abi.encode(
                                                  keccak256(
                                                      "Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)"
                                                  ),
                                                  owner,
                                                  spender,
                                                  value,
                                                  nonces[owner]++,
                                                  deadline
                                              )
                                          )
                                      )
                                  ),
                                  v,
                                  r,
                                  s
                              );
                              require(recoveredAddress != address(0) && recoveredAddress == owner, "INVALID_SIGNER");
                              allowance[recoveredAddress][spender] = value;
                          }
                          emit Approval(owner, spender, value);
                      }
                      function DOMAIN_SEPARATOR() public view virtual returns (bytes32) {
                          return block.chainid == INITIAL_CHAIN_ID ? INITIAL_DOMAIN_SEPARATOR : computeDomainSeparator();
                      }
                      function computeDomainSeparator() internal view virtual returns (bytes32) {
                          return
                              keccak256(
                                  abi.encode(
                                      keccak256("EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)"),
                                      keccak256(bytes(name)),
                                      keccak256("1"),
                                      block.chainid,
                                      address(this)
                                  )
                              );
                      }
                      /*//////////////////////////////////////////////////////////////
                                          INTERNAL MINT/BURN LOGIC
                      //////////////////////////////////////////////////////////////*/
                      function _mint(address to, uint256 amount) internal virtual {
                          totalSupply += amount;
                          // Cannot overflow because the sum of all user
                          // balances can't exceed the max uint256 value.
                          unchecked {
                              balanceOf[to] += amount;
                          }
                          emit Transfer(address(0), to, amount);
                      }
                      function _burn(address from, uint256 amount) internal virtual {
                          balanceOf[from] -= amount;
                          // Cannot underflow because a user's balance
                          // will never be larger than the total supply.
                          unchecked {
                              totalSupply -= amount;
                          }
                          emit Transfer(from, address(0), amount);
                      }
                  }
                  // SPDX-License-Identifier: AGPL-3.0-only
                  pragma solidity >=0.8.0;
                  import {ERC20} from "../tokens/ERC20.sol";
                  /// @notice Safe ETH and ERC20 transfer library that gracefully handles missing return values.
                  /// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/SafeTransferLib.sol)
                  /// @dev Use with caution! Some functions in this library knowingly create dirty bits at the destination of the free memory pointer.
                  /// @dev Note that none of the functions in this library check that a token has code at all! That responsibility is delegated to the caller.
                  library SafeTransferLib {
                      /*//////////////////////////////////////////////////////////////
                                               ETH OPERATIONS
                      //////////////////////////////////////////////////////////////*/
                      function safeTransferETH(address to, uint256 amount) internal {
                          bool success;
                          /// @solidity memory-safe-assembly
                          assembly {
                              // Transfer the ETH and store if it succeeded or not.
                              success := call(gas(), to, amount, 0, 0, 0, 0)
                          }
                          require(success, "ETH_TRANSFER_FAILED");
                      }
                      /*//////////////////////////////////////////////////////////////
                                              ERC20 OPERATIONS
                      //////////////////////////////////////////////////////////////*/
                      function safeTransferFrom(
                          ERC20 token,
                          address from,
                          address to,
                          uint256 amount
                      ) internal {
                          bool success;
                          /// @solidity memory-safe-assembly
                          assembly {
                              // Get a pointer to some free memory.
                              let freeMemoryPointer := mload(0x40)
                              // Write the abi-encoded calldata into memory, beginning with the function selector.
                              mstore(freeMemoryPointer, 0x23b872dd00000000000000000000000000000000000000000000000000000000)
                              mstore(add(freeMemoryPointer, 4), from) // Append the "from" argument.
                              mstore(add(freeMemoryPointer, 36), to) // Append the "to" argument.
                              mstore(add(freeMemoryPointer, 68), amount) // Append the "amount" argument.
                              success := and(
                                  // Set success to whether the call reverted, if not we check it either
                                  // returned exactly 1 (can't just be non-zero data), or had no return data.
                                  or(and(eq(mload(0), 1), gt(returndatasize(), 31)), iszero(returndatasize())),
                                  // We use 100 because the length of our calldata totals up like so: 4 + 32 * 3.
                                  // We use 0 and 32 to copy up to 32 bytes of return data into the scratch space.
                                  // Counterintuitively, this call must be positioned second to the or() call in the
                                  // surrounding and() call or else returndatasize() will be zero during the computation.
                                  call(gas(), token, 0, freeMemoryPointer, 100, 0, 32)
                              )
                          }
                          require(success, "TRANSFER_FROM_FAILED");
                      }
                      function safeTransfer(
                          ERC20 token,
                          address to,
                          uint256 amount
                      ) internal {
                          bool success;
                          /// @solidity memory-safe-assembly
                          assembly {
                              // Get a pointer to some free memory.
                              let freeMemoryPointer := mload(0x40)
                              // Write the abi-encoded calldata into memory, beginning with the function selector.
                              mstore(freeMemoryPointer, 0xa9059cbb00000000000000000000000000000000000000000000000000000000)
                              mstore(add(freeMemoryPointer, 4), to) // Append the "to" argument.
                              mstore(add(freeMemoryPointer, 36), amount) // Append the "amount" argument.
                              success := and(
                                  // Set success to whether the call reverted, if not we check it either
                                  // returned exactly 1 (can't just be non-zero data), or had no return data.
                                  or(and(eq(mload(0), 1), gt(returndatasize(), 31)), iszero(returndatasize())),
                                  // We use 68 because the length of our calldata totals up like so: 4 + 32 * 2.
                                  // We use 0 and 32 to copy up to 32 bytes of return data into the scratch space.
                                  // Counterintuitively, this call must be positioned second to the or() call in the
                                  // surrounding and() call or else returndatasize() will be zero during the computation.
                                  call(gas(), token, 0, freeMemoryPointer, 68, 0, 32)
                              )
                          }
                          require(success, "TRANSFER_FAILED");
                      }
                      function safeApprove(
                          ERC20 token,
                          address to,
                          uint256 amount
                      ) internal {
                          bool success;
                          /// @solidity memory-safe-assembly
                          assembly {
                              // Get a pointer to some free memory.
                              let freeMemoryPointer := mload(0x40)
                              // Write the abi-encoded calldata into memory, beginning with the function selector.
                              mstore(freeMemoryPointer, 0x095ea7b300000000000000000000000000000000000000000000000000000000)
                              mstore(add(freeMemoryPointer, 4), to) // Append the "to" argument.
                              mstore(add(freeMemoryPointer, 36), amount) // Append the "amount" argument.
                              success := and(
                                  // Set success to whether the call reverted, if not we check it either
                                  // returned exactly 1 (can't just be non-zero data), or had no return data.
                                  or(and(eq(mload(0), 1), gt(returndatasize(), 31)), iszero(returndatasize())),
                                  // We use 68 because the length of our calldata totals up like so: 4 + 32 * 2.
                                  // We use 0 and 32 to copy up to 32 bytes of return data into the scratch space.
                                  // Counterintuitively, this call must be positioned second to the or() call in the
                                  // surrounding and() call or else returndatasize() will be zero during the computation.
                                  call(gas(), token, 0, freeMemoryPointer, 68, 0, 32)
                              )
                          }
                          require(success, "APPROVE_FAILED");
                      }
                  }
                  // SPDX-License-Identifier: MIT
                  pragma solidity 0.8.17;
                  import {ERC20} from "solmate/tokens/ERC20.sol";
                  import {SafeTransferLib} from "solmate/utils/SafeTransferLib.sol";
                  import {PermitHash} from "./libraries/PermitHash.sol";
                  import {SignatureVerification} from "./libraries/SignatureVerification.sol";
                  import {EIP712} from "./EIP712.sol";
                  import {IAllowanceTransfer} from "../src/interfaces/IAllowanceTransfer.sol";
                  import {SignatureExpired, InvalidNonce} from "./PermitErrors.sol";
                  import {Allowance} from "./libraries/Allowance.sol";
                  contract AllowanceTransfer is IAllowanceTransfer, EIP712 {
                      using SignatureVerification for bytes;
                      using SafeTransferLib for ERC20;
                      using PermitHash for PermitSingle;
                      using PermitHash for PermitBatch;
                      using Allowance for PackedAllowance;
                      /// @notice Maps users to tokens to spender addresses and information about the approval on the token
                      /// @dev Indexed in the order of token owner address, token address, spender address
                      /// @dev The stored word saves the allowed amount, expiration on the allowance, and nonce
                      mapping(address => mapping(address => mapping(address => PackedAllowance))) public allowance;
                      /// @inheritdoc IAllowanceTransfer
                      function approve(address token, address spender, uint160 amount, uint48 expiration) external {
                          PackedAllowance storage allowed = allowance[msg.sender][token][spender];
                          allowed.updateAmountAndExpiration(amount, expiration);
                          emit Approval(msg.sender, token, spender, amount, expiration);
                      }
                      /// @inheritdoc IAllowanceTransfer
                      function permit(address owner, PermitSingle memory permitSingle, bytes calldata signature) external {
                          if (block.timestamp > permitSingle.sigDeadline) revert SignatureExpired(permitSingle.sigDeadline);
                          // Verify the signer address from the signature.
                          signature.verify(_hashTypedData(permitSingle.hash()), owner);
                          _updateApproval(permitSingle.details, owner, permitSingle.spender);
                      }
                      /// @inheritdoc IAllowanceTransfer
                      function permit(address owner, PermitBatch memory permitBatch, bytes calldata signature) external {
                          if (block.timestamp > permitBatch.sigDeadline) revert SignatureExpired(permitBatch.sigDeadline);
                          // Verify the signer address from the signature.
                          signature.verify(_hashTypedData(permitBatch.hash()), owner);
                          address spender = permitBatch.spender;
                          unchecked {
                              uint256 length = permitBatch.details.length;
                              for (uint256 i = 0; i < length; ++i) {
                                  _updateApproval(permitBatch.details[i], owner, spender);
                              }
                          }
                      }
                      /// @inheritdoc IAllowanceTransfer
                      function transferFrom(address from, address to, uint160 amount, address token) external {
                          _transfer(from, to, amount, token);
                      }
                      /// @inheritdoc IAllowanceTransfer
                      function transferFrom(AllowanceTransferDetails[] calldata transferDetails) external {
                          unchecked {
                              uint256 length = transferDetails.length;
                              for (uint256 i = 0; i < length; ++i) {
                                  AllowanceTransferDetails memory transferDetail = transferDetails[i];
                                  _transfer(transferDetail.from, transferDetail.to, transferDetail.amount, transferDetail.token);
                              }
                          }
                      }
                      /// @notice Internal function for transferring tokens using stored allowances
                      /// @dev Will fail if the allowed timeframe has passed
                      function _transfer(address from, address to, uint160 amount, address token) private {
                          PackedAllowance storage allowed = allowance[from][token][msg.sender];
                          if (block.timestamp > allowed.expiration) revert AllowanceExpired(allowed.expiration);
                          uint256 maxAmount = allowed.amount;
                          if (maxAmount != type(uint160).max) {
                              if (amount > maxAmount) {
                                  revert InsufficientAllowance(maxAmount);
                              } else {
                                  unchecked {
                                      allowed.amount = uint160(maxAmount) - amount;
                                  }
                              }
                          }
                          // Transfer the tokens from the from address to the recipient.
                          ERC20(token).safeTransferFrom(from, to, amount);
                      }
                      /// @inheritdoc IAllowanceTransfer
                      function lockdown(TokenSpenderPair[] calldata approvals) external {
                          address owner = msg.sender;
                          // Revoke allowances for each pair of spenders and tokens.
                          unchecked {
                              uint256 length = approvals.length;
                              for (uint256 i = 0; i < length; ++i) {
                                  address token = approvals[i].token;
                                  address spender = approvals[i].spender;
                                  allowance[owner][token][spender].amount = 0;
                                  emit Lockdown(owner, token, spender);
                              }
                          }
                      }
                      /// @inheritdoc IAllowanceTransfer
                      function invalidateNonces(address token, address spender, uint48 newNonce) external {
                          uint48 oldNonce = allowance[msg.sender][token][spender].nonce;
                          if (newNonce <= oldNonce) revert InvalidNonce();
                          // Limit the amount of nonces that can be invalidated in one transaction.
                          unchecked {
                              uint48 delta = newNonce - oldNonce;
                              if (delta > type(uint16).max) revert ExcessiveInvalidation();
                          }
                          allowance[msg.sender][token][spender].nonce = newNonce;
                          emit NonceInvalidation(msg.sender, token, spender, newNonce, oldNonce);
                      }
                      /// @notice Sets the new values for amount, expiration, and nonce.
                      /// @dev Will check that the signed nonce is equal to the current nonce and then incrememnt the nonce value by 1.
                      /// @dev Emits a Permit event.
                      function _updateApproval(PermitDetails memory details, address owner, address spender) private {
                          uint48 nonce = details.nonce;
                          address token = details.token;
                          uint160 amount = details.amount;
                          uint48 expiration = details.expiration;
                          PackedAllowance storage allowed = allowance[owner][token][spender];
                          if (allowed.nonce != nonce) revert InvalidNonce();
                          allowed.updateAll(amount, expiration, nonce);
                          emit Permit(owner, token, spender, amount, expiration, nonce);
                      }
                  }
                  // SPDX-License-Identifier: MIT
                  pragma solidity 0.8.17;
                  /// @notice EIP712 helpers for permit2
                  /// @dev Maintains cross-chain replay protection in the event of a fork
                  /// @dev Reference: https://github.com/OpenZeppelin/openzeppelin-contracts/blob/master/contracts/utils/cryptography/EIP712.sol
                  contract EIP712 {
                      // Cache the domain separator as an immutable value, but also store the chain id that it
                      // corresponds to, in order to invalidate the cached domain separator if the chain id changes.
                      bytes32 private immutable _CACHED_DOMAIN_SEPARATOR;
                      uint256 private immutable _CACHED_CHAIN_ID;
                      bytes32 private constant _HASHED_NAME = keccak256("Permit2");
                      bytes32 private constant _TYPE_HASH =
                          keccak256("EIP712Domain(string name,uint256 chainId,address verifyingContract)");
                      constructor() {
                          _CACHED_CHAIN_ID = block.chainid;
                          _CACHED_DOMAIN_SEPARATOR = _buildDomainSeparator(_TYPE_HASH, _HASHED_NAME);
                      }
                      /// @notice Returns the domain separator for the current chain.
                      /// @dev Uses cached version if chainid and address are unchanged from construction.
                      function DOMAIN_SEPARATOR() public view returns (bytes32) {
                          return block.chainid == _CACHED_CHAIN_ID
                              ? _CACHED_DOMAIN_SEPARATOR
                              : _buildDomainSeparator(_TYPE_HASH, _HASHED_NAME);
                      }
                      /// @notice Builds a domain separator using the current chainId and contract address.
                      function _buildDomainSeparator(bytes32 typeHash, bytes32 nameHash) private view returns (bytes32) {
                          return keccak256(abi.encode(typeHash, nameHash, block.chainid, address(this)));
                      }
                      /// @notice Creates an EIP-712 typed data hash
                      function _hashTypedData(bytes32 dataHash) internal view returns (bytes32) {
                          return keccak256(abi.encodePacked("\\x19\\x01", DOMAIN_SEPARATOR(), dataHash));
                      }
                  }
                  // SPDX-License-Identifier: MIT
                  pragma solidity 0.8.17;
                  import {SignatureTransfer} from "./SignatureTransfer.sol";
                  import {AllowanceTransfer} from "./AllowanceTransfer.sol";
                  /// @notice Permit2 handles signature-based transfers in SignatureTransfer and allowance-based transfers in AllowanceTransfer.
                  /// @dev Users must approve Permit2 before calling any of the transfer functions.
                  contract Permit2 is SignatureTransfer, AllowanceTransfer {
                  // Permit2 unifies the two contracts so users have maximal flexibility with their approval.
                  }
                  // SPDX-License-Identifier: MIT
                  pragma solidity 0.8.17;
                  /// @notice Shared errors between signature based transfers and allowance based transfers.
                  /// @notice Thrown when validating an inputted signature that is stale
                  /// @param signatureDeadline The timestamp at which a signature is no longer valid
                  error SignatureExpired(uint256 signatureDeadline);
                  /// @notice Thrown when validating that the inputted nonce has not been used
                  error InvalidNonce();
                  // SPDX-License-Identifier: MIT
                  pragma solidity 0.8.17;
                  import {ISignatureTransfer} from "./interfaces/ISignatureTransfer.sol";
                  import {SignatureExpired, InvalidNonce} from "./PermitErrors.sol";
                  import {ERC20} from "solmate/tokens/ERC20.sol";
                  import {SafeTransferLib} from "solmate/utils/SafeTransferLib.sol";
                  import {SignatureVerification} from "./libraries/SignatureVerification.sol";
                  import {PermitHash} from "./libraries/PermitHash.sol";
                  import {EIP712} from "./EIP712.sol";
                  contract SignatureTransfer is ISignatureTransfer, EIP712 {
                      using SignatureVerification for bytes;
                      using SafeTransferLib for ERC20;
                      using PermitHash for PermitTransferFrom;
                      using PermitHash for PermitBatchTransferFrom;
                      /// @inheritdoc ISignatureTransfer
                      mapping(address => mapping(uint256 => uint256)) public nonceBitmap;
                      /// @inheritdoc ISignatureTransfer
                      function permitTransferFrom(
                          PermitTransferFrom memory permit,
                          SignatureTransferDetails calldata transferDetails,
                          address owner,
                          bytes calldata signature
                      ) external {
                          _permitTransferFrom(permit, transferDetails, owner, permit.hash(), signature);
                      }
                      /// @inheritdoc ISignatureTransfer
                      function permitWitnessTransferFrom(
                          PermitTransferFrom memory permit,
                          SignatureTransferDetails calldata transferDetails,
                          address owner,
                          bytes32 witness,
                          string calldata witnessTypeString,
                          bytes calldata signature
                      ) external {
                          _permitTransferFrom(
                              permit, transferDetails, owner, permit.hashWithWitness(witness, witnessTypeString), signature
                          );
                      }
                      /// @notice Transfers a token using a signed permit message.
                      /// @dev If to is the zero address, the tokens are sent to the spender.
                      /// @param permit The permit data signed over by the owner
                      /// @param dataHash The EIP-712 hash of permit data to include when checking signature
                      /// @param owner The owner of the tokens to transfer
                      /// @param transferDetails The spender's requested transfer details for the permitted token
                      /// @param signature The signature to verify
                      function _permitTransferFrom(
                          PermitTransferFrom memory permit,
                          SignatureTransferDetails calldata transferDetails,
                          address owner,
                          bytes32 dataHash,
                          bytes calldata signature
                      ) private {
                          uint256 requestedAmount = transferDetails.requestedAmount;
                          if (block.timestamp > permit.deadline) revert SignatureExpired(permit.deadline);
                          if (requestedAmount > permit.permitted.amount) revert InvalidAmount(permit.permitted.amount);
                          _useUnorderedNonce(owner, permit.nonce);
                          signature.verify(_hashTypedData(dataHash), owner);
                          ERC20(permit.permitted.token).safeTransferFrom(owner, transferDetails.to, requestedAmount);
                      }
                      /// @inheritdoc ISignatureTransfer
                      function permitTransferFrom(
                          PermitBatchTransferFrom memory permit,
                          SignatureTransferDetails[] calldata transferDetails,
                          address owner,
                          bytes calldata signature
                      ) external {
                          _permitTransferFrom(permit, transferDetails, owner, permit.hash(), signature);
                      }
                      /// @inheritdoc ISignatureTransfer
                      function permitWitnessTransferFrom(
                          PermitBatchTransferFrom memory permit,
                          SignatureTransferDetails[] calldata transferDetails,
                          address owner,
                          bytes32 witness,
                          string calldata witnessTypeString,
                          bytes calldata signature
                      ) external {
                          _permitTransferFrom(
                              permit, transferDetails, owner, permit.hashWithWitness(witness, witnessTypeString), signature
                          );
                      }
                      /// @notice Transfers tokens using a signed permit messages
                      /// @dev If to is the zero address, the tokens are sent to the spender
                      /// @param permit The permit data signed over by the owner
                      /// @param dataHash The EIP-712 hash of permit data to include when checking signature
                      /// @param owner The owner of the tokens to transfer
                      /// @param signature The signature to verify
                      function _permitTransferFrom(
                          PermitBatchTransferFrom memory permit,
                          SignatureTransferDetails[] calldata transferDetails,
                          address owner,
                          bytes32 dataHash,
                          bytes calldata signature
                      ) private {
                          uint256 numPermitted = permit.permitted.length;
                          if (block.timestamp > permit.deadline) revert SignatureExpired(permit.deadline);
                          if (numPermitted != transferDetails.length) revert LengthMismatch();
                          _useUnorderedNonce(owner, permit.nonce);
                          signature.verify(_hashTypedData(dataHash), owner);
                          unchecked {
                              for (uint256 i = 0; i < numPermitted; ++i) {
                                  TokenPermissions memory permitted = permit.permitted[i];
                                  uint256 requestedAmount = transferDetails[i].requestedAmount;
                                  if (requestedAmount > permitted.amount) revert InvalidAmount(permitted.amount);
                                  if (requestedAmount != 0) {
                                      // allow spender to specify which of the permitted tokens should be transferred
                                      ERC20(permitted.token).safeTransferFrom(owner, transferDetails[i].to, requestedAmount);
                                  }
                              }
                          }
                      }
                      /// @inheritdoc ISignatureTransfer
                      function invalidateUnorderedNonces(uint256 wordPos, uint256 mask) external {
                          nonceBitmap[msg.sender][wordPos] |= mask;
                          emit UnorderedNonceInvalidation(msg.sender, wordPos, mask);
                      }
                      /// @notice Returns the index of the bitmap and the bit position within the bitmap. Used for unordered nonces
                      /// @param nonce The nonce to get the associated word and bit positions
                      /// @return wordPos The word position or index into the nonceBitmap
                      /// @return bitPos The bit position
                      /// @dev The first 248 bits of the nonce value is the index of the desired bitmap
                      /// @dev The last 8 bits of the nonce value is the position of the bit in the bitmap
                      function bitmapPositions(uint256 nonce) private pure returns (uint256 wordPos, uint256 bitPos) {
                          wordPos = uint248(nonce >> 8);
                          bitPos = uint8(nonce);
                      }
                      /// @notice Checks whether a nonce is taken and sets the bit at the bit position in the bitmap at the word position
                      /// @param from The address to use the nonce at
                      /// @param nonce The nonce to spend
                      function _useUnorderedNonce(address from, uint256 nonce) internal {
                          (uint256 wordPos, uint256 bitPos) = bitmapPositions(nonce);
                          uint256 bit = 1 << bitPos;
                          uint256 flipped = nonceBitmap[from][wordPos] ^= bit;
                          if (flipped & bit == 0) revert InvalidNonce();
                      }
                  }
                  // SPDX-License-Identifier: MIT
                  pragma solidity ^0.8.17;
                  /// @title AllowanceTransfer
                  /// @notice Handles ERC20 token permissions through signature based allowance setting and ERC20 token transfers by checking allowed amounts
                  /// @dev Requires user's token approval on the Permit2 contract
                  interface IAllowanceTransfer {
                      /// @notice Thrown when an allowance on a token has expired.
                      /// @param deadline The timestamp at which the allowed amount is no longer valid
                      error AllowanceExpired(uint256 deadline);
                      /// @notice Thrown when an allowance on a token has been depleted.
                      /// @param amount The maximum amount allowed
                      error InsufficientAllowance(uint256 amount);
                      /// @notice Thrown when too many nonces are invalidated.
                      error ExcessiveInvalidation();
                      /// @notice Emits an event when the owner successfully invalidates an ordered nonce.
                      event NonceInvalidation(
                          address indexed owner, address indexed token, address indexed spender, uint48 newNonce, uint48 oldNonce
                      );
                      /// @notice Emits an event when the owner successfully sets permissions on a token for the spender.
                      event Approval(
                          address indexed owner, address indexed token, address indexed spender, uint160 amount, uint48 expiration
                      );
                      /// @notice Emits an event when the owner successfully sets permissions using a permit signature on a token for the spender.
                      event Permit(
                          address indexed owner,
                          address indexed token,
                          address indexed spender,
                          uint160 amount,
                          uint48 expiration,
                          uint48 nonce
                      );
                      /// @notice Emits an event when the owner sets the allowance back to 0 with the lockdown function.
                      event Lockdown(address indexed owner, address token, address spender);
                      /// @notice The permit data for a token
                      struct PermitDetails {
                          // ERC20 token address
                          address token;
                          // the maximum amount allowed to spend
                          uint160 amount;
                          // timestamp at which a spender's token allowances become invalid
                          uint48 expiration;
                          // an incrementing value indexed per owner,token,and spender for each signature
                          uint48 nonce;
                      }
                      /// @notice The permit message signed for a single token allownce
                      struct PermitSingle {
                          // the permit data for a single token alownce
                          PermitDetails details;
                          // address permissioned on the allowed tokens
                          address spender;
                          // deadline on the permit signature
                          uint256 sigDeadline;
                      }
                      /// @notice The permit message signed for multiple token allowances
                      struct PermitBatch {
                          // the permit data for multiple token allowances
                          PermitDetails[] details;
                          // address permissioned on the allowed tokens
                          address spender;
                          // deadline on the permit signature
                          uint256 sigDeadline;
                      }
                      /// @notice The saved permissions
                      /// @dev This info is saved per owner, per token, per spender and all signed over in the permit message
                      /// @dev Setting amount to type(uint160).max sets an unlimited approval
                      struct PackedAllowance {
                          // amount allowed
                          uint160 amount;
                          // permission expiry
                          uint48 expiration;
                          // an incrementing value indexed per owner,token,and spender for each signature
                          uint48 nonce;
                      }
                      /// @notice A token spender pair.
                      struct TokenSpenderPair {
                          // the token the spender is approved
                          address token;
                          // the spender address
                          address spender;
                      }
                      /// @notice Details for a token transfer.
                      struct AllowanceTransferDetails {
                          // the owner of the token
                          address from;
                          // the recipient of the token
                          address to;
                          // the amount of the token
                          uint160 amount;
                          // the token to be transferred
                          address token;
                      }
                      /// @notice A mapping from owner address to token address to spender address to PackedAllowance struct, which contains details and conditions of the approval.
                      /// @notice The mapping is indexed in the above order see: allowance[ownerAddress][tokenAddress][spenderAddress]
                      /// @dev The packed slot holds the allowed amount, expiration at which the allowed amount is no longer valid, and current nonce thats updated on any signature based approvals.
                      function allowance(address, address, address) external view returns (uint160, uint48, uint48);
                      /// @notice Approves the spender to use up to amount of the specified token up until the expiration
                      /// @param token The token to approve
                      /// @param spender The spender address to approve
                      /// @param amount The approved amount of the token
                      /// @param expiration The timestamp at which the approval is no longer valid
                      /// @dev The packed allowance also holds a nonce, which will stay unchanged in approve
                      /// @dev Setting amount to type(uint160).max sets an unlimited approval
                      function approve(address token, address spender, uint160 amount, uint48 expiration) external;
                      /// @notice Permit a spender to a given amount of the owners token via the owner's EIP-712 signature
                      /// @dev May fail if the owner's nonce was invalidated in-flight by invalidateNonce
                      /// @param owner The owner of the tokens being approved
                      /// @param permitSingle Data signed over by the owner specifying the terms of approval
                      /// @param signature The owner's signature over the permit data
                      function permit(address owner, PermitSingle memory permitSingle, bytes calldata signature) external;
                      /// @notice Permit a spender to the signed amounts of the owners tokens via the owner's EIP-712 signature
                      /// @dev May fail if the owner's nonce was invalidated in-flight by invalidateNonce
                      /// @param owner The owner of the tokens being approved
                      /// @param permitBatch Data signed over by the owner specifying the terms of approval
                      /// @param signature The owner's signature over the permit data
                      function permit(address owner, PermitBatch memory permitBatch, bytes calldata signature) external;
                      /// @notice Transfer approved tokens from one address to another
                      /// @param from The address to transfer from
                      /// @param to The address of the recipient
                      /// @param amount The amount of the token to transfer
                      /// @param token The token address to transfer
                      /// @dev Requires the from address to have approved at least the desired amount
                      /// of tokens to msg.sender.
                      function transferFrom(address from, address to, uint160 amount, address token) external;
                      /// @notice Transfer approved tokens in a batch
                      /// @param transferDetails Array of owners, recipients, amounts, and tokens for the transfers
                      /// @dev Requires the from addresses to have approved at least the desired amount
                      /// of tokens to msg.sender.
                      function transferFrom(AllowanceTransferDetails[] calldata transferDetails) external;
                      /// @notice Enables performing a "lockdown" of the sender's Permit2 identity
                      /// by batch revoking approvals
                      /// @param approvals Array of approvals to revoke.
                      function lockdown(TokenSpenderPair[] calldata approvals) external;
                      /// @notice Invalidate nonces for a given (token, spender) pair
                      /// @param token The token to invalidate nonces for
                      /// @param spender The spender to invalidate nonces for
                      /// @param newNonce The new nonce to set. Invalidates all nonces less than it.
                      /// @dev Can't invalidate more than 2**16 nonces per transaction.
                      function invalidateNonces(address token, address spender, uint48 newNonce) external;
                  }
                  // SPDX-License-Identifier: MIT
                  pragma solidity ^0.8.17;
                  interface IERC1271 {
                      /// @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
                      /// @return magicValue The bytes4 magic value 0x1626ba7e
                      function isValidSignature(bytes32 hash, bytes memory signature) external view returns (bytes4 magicValue);
                  }
                  // SPDX-License-Identifier: MIT
                  pragma solidity ^0.8.17;
                  /// @title SignatureTransfer
                  /// @notice Handles ERC20 token transfers through signature based actions
                  /// @dev Requires user's token approval on the Permit2 contract
                  interface ISignatureTransfer {
                      /// @notice Thrown when the requested amount for a transfer is larger than the permissioned amount
                      /// @param maxAmount The maximum amount a spender can request to transfer
                      error InvalidAmount(uint256 maxAmount);
                      /// @notice Thrown when the number of tokens permissioned to a spender does not match the number of tokens being transferred
                      /// @dev If the spender does not need to transfer the number of tokens permitted, the spender can request amount 0 to be transferred
                      error LengthMismatch();
                      /// @notice Emits an event when the owner successfully invalidates an unordered nonce.
                      event UnorderedNonceInvalidation(address indexed owner, uint256 word, uint256 mask);
                      /// @notice The token and amount details for a transfer signed in the permit transfer signature
                      struct TokenPermissions {
                          // ERC20 token address
                          address token;
                          // the maximum amount that can be spent
                          uint256 amount;
                      }
                      /// @notice The signed permit message for a single token transfer
                      struct PermitTransferFrom {
                          TokenPermissions permitted;
                          // a unique value for every token owner's signature to prevent signature replays
                          uint256 nonce;
                          // deadline on the permit signature
                          uint256 deadline;
                      }
                      /// @notice Specifies the recipient address and amount for batched transfers.
                      /// @dev Recipients and amounts correspond to the index of the signed token permissions array.
                      /// @dev Reverts if the requested amount is greater than the permitted signed amount.
                      struct SignatureTransferDetails {
                          // recipient address
                          address to;
                          // spender requested amount
                          uint256 requestedAmount;
                      }
                      /// @notice Used to reconstruct the signed permit message for multiple token transfers
                      /// @dev Do not need to pass in spender address as it is required that it is msg.sender
                      /// @dev Note that a user still signs over a spender address
                      struct PermitBatchTransferFrom {
                          // the tokens and corresponding amounts permitted for a transfer
                          TokenPermissions[] permitted;
                          // a unique value for every token owner's signature to prevent signature replays
                          uint256 nonce;
                          // deadline on the permit signature
                          uint256 deadline;
                      }
                      /// @notice A map from token owner address and a caller specified word index to a bitmap. Used to set bits in the bitmap to prevent against signature replay protection
                      /// @dev Uses unordered nonces so that permit messages do not need to be spent in a certain order
                      /// @dev The mapping is indexed first by the token owner, then by an index specified in the nonce
                      /// @dev It returns a uint256 bitmap
                      /// @dev The index, or wordPosition is capped at type(uint248).max
                      function nonceBitmap(address, uint256) external view returns (uint256);
                      /// @notice Transfers a token using a signed permit message
                      /// @dev Reverts if the requested amount is greater than the permitted signed amount
                      /// @param permit The permit data signed over by the owner
                      /// @param owner The owner of the tokens to transfer
                      /// @param transferDetails The spender's requested transfer details for the permitted token
                      /// @param signature The signature to verify
                      function permitTransferFrom(
                          PermitTransferFrom memory permit,
                          SignatureTransferDetails calldata transferDetails,
                          address owner,
                          bytes calldata signature
                      ) external;
                      /// @notice Transfers a token using a signed permit message
                      /// @notice Includes extra data provided by the caller to verify signature over
                      /// @dev The witness type string must follow EIP712 ordering of nested structs and must include the TokenPermissions type definition
                      /// @dev Reverts if the requested amount is greater than the permitted signed amount
                      /// @param permit The permit data signed over by the owner
                      /// @param owner The owner of the tokens to transfer
                      /// @param transferDetails The spender's requested transfer details for the permitted token
                      /// @param witness Extra data to include when checking the user signature
                      /// @param witnessTypeString The EIP-712 type definition for remaining string stub of the typehash
                      /// @param signature The signature to verify
                      function permitWitnessTransferFrom(
                          PermitTransferFrom memory permit,
                          SignatureTransferDetails calldata transferDetails,
                          address owner,
                          bytes32 witness,
                          string calldata witnessTypeString,
                          bytes calldata signature
                      ) external;
                      /// @notice Transfers multiple tokens using a signed permit message
                      /// @param permit The permit data signed over by the owner
                      /// @param owner The owner of the tokens to transfer
                      /// @param transferDetails Specifies the recipient and requested amount for the token transfer
                      /// @param signature The signature to verify
                      function permitTransferFrom(
                          PermitBatchTransferFrom memory permit,
                          SignatureTransferDetails[] calldata transferDetails,
                          address owner,
                          bytes calldata signature
                      ) external;
                      /// @notice Transfers multiple tokens using a signed permit message
                      /// @dev The witness type string must follow EIP712 ordering of nested structs and must include the TokenPermissions type definition
                      /// @notice Includes extra data provided by the caller to verify signature over
                      /// @param permit The permit data signed over by the owner
                      /// @param owner The owner of the tokens to transfer
                      /// @param transferDetails Specifies the recipient and requested amount for the token transfer
                      /// @param witness Extra data to include when checking the user signature
                      /// @param witnessTypeString The EIP-712 type definition for remaining string stub of the typehash
                      /// @param signature The signature to verify
                      function permitWitnessTransferFrom(
                          PermitBatchTransferFrom memory permit,
                          SignatureTransferDetails[] calldata transferDetails,
                          address owner,
                          bytes32 witness,
                          string calldata witnessTypeString,
                          bytes calldata signature
                      ) external;
                      /// @notice Invalidates the bits specified in mask for the bitmap at the word position
                      /// @dev The wordPos is maxed at type(uint248).max
                      /// @param wordPos A number to index the nonceBitmap at
                      /// @param mask A bitmap masked against msg.sender's current bitmap at the word position
                      function invalidateUnorderedNonces(uint256 wordPos, uint256 mask) external;
                  }
                  // SPDX-License-Identifier: MIT
                  pragma solidity ^0.8.17;
                  import {IAllowanceTransfer} from "../interfaces/IAllowanceTransfer.sol";
                  library Allowance {
                      // note if the expiration passed is 0, then it the approval set to the block.timestamp
                      uint256 private constant BLOCK_TIMESTAMP_EXPIRATION = 0;
                      /// @notice Sets the allowed amount, expiry, and nonce of the spender's permissions on owner's token.
                      /// @dev Nonce is incremented.
                      /// @dev If the inputted expiration is 0, the stored expiration is set to block.timestamp
                      function updateAll(
                          IAllowanceTransfer.PackedAllowance storage allowed,
                          uint160 amount,
                          uint48 expiration,
                          uint48 nonce
                      ) internal {
                          uint48 storedNonce;
                          unchecked {
                              storedNonce = nonce + 1;
                          }
                          uint48 storedExpiration = expiration == BLOCK_TIMESTAMP_EXPIRATION ? uint48(block.timestamp) : expiration;
                          uint256 word = pack(amount, storedExpiration, storedNonce);
                          assembly {
                              sstore(allowed.slot, word)
                          }
                      }
                      /// @notice Sets the allowed amount and expiry of the spender's permissions on owner's token.
                      /// @dev Nonce does not need to be incremented.
                      function updateAmountAndExpiration(
                          IAllowanceTransfer.PackedAllowance storage allowed,
                          uint160 amount,
                          uint48 expiration
                      ) internal {
                          // If the inputted expiration is 0, the allowance only lasts the duration of the block.
                          allowed.expiration = expiration == 0 ? uint48(block.timestamp) : expiration;
                          allowed.amount = amount;
                      }
                      /// @notice Computes the packed slot of the amount, expiration, and nonce that make up PackedAllowance
                      function pack(uint160 amount, uint48 expiration, uint48 nonce) internal pure returns (uint256 word) {
                          word = (uint256(nonce) << 208) | uint256(expiration) << 160 | amount;
                      }
                  }
                  // SPDX-License-Identifier: MIT
                  pragma solidity ^0.8.17;
                  import {IAllowanceTransfer} from "../interfaces/IAllowanceTransfer.sol";
                  import {ISignatureTransfer} from "../interfaces/ISignatureTransfer.sol";
                  library PermitHash {
                      bytes32 public constant _PERMIT_DETAILS_TYPEHASH =
                          keccak256("PermitDetails(address token,uint160 amount,uint48 expiration,uint48 nonce)");
                      bytes32 public constant _PERMIT_SINGLE_TYPEHASH = keccak256(
                          "PermitSingle(PermitDetails details,address spender,uint256 sigDeadline)PermitDetails(address token,uint160 amount,uint48 expiration,uint48 nonce)"
                      );
                      bytes32 public constant _PERMIT_BATCH_TYPEHASH = keccak256(
                          "PermitBatch(PermitDetails[] details,address spender,uint256 sigDeadline)PermitDetails(address token,uint160 amount,uint48 expiration,uint48 nonce)"
                      );
                      bytes32 public constant _TOKEN_PERMISSIONS_TYPEHASH = keccak256("TokenPermissions(address token,uint256 amount)");
                      bytes32 public constant _PERMIT_TRANSFER_FROM_TYPEHASH = keccak256(
                          "PermitTransferFrom(TokenPermissions permitted,address spender,uint256 nonce,uint256 deadline)TokenPermissions(address token,uint256 amount)"
                      );
                      bytes32 public constant _PERMIT_BATCH_TRANSFER_FROM_TYPEHASH = keccak256(
                          "PermitBatchTransferFrom(TokenPermissions[] permitted,address spender,uint256 nonce,uint256 deadline)TokenPermissions(address token,uint256 amount)"
                      );
                      string public constant _TOKEN_PERMISSIONS_TYPESTRING = "TokenPermissions(address token,uint256 amount)";
                      string public constant _PERMIT_TRANSFER_FROM_WITNESS_TYPEHASH_STUB =
                          "PermitWitnessTransferFrom(TokenPermissions permitted,address spender,uint256 nonce,uint256 deadline,";
                      string public constant _PERMIT_BATCH_WITNESS_TRANSFER_FROM_TYPEHASH_STUB =
                          "PermitBatchWitnessTransferFrom(TokenPermissions[] permitted,address spender,uint256 nonce,uint256 deadline,";
                      function hash(IAllowanceTransfer.PermitSingle memory permitSingle) internal pure returns (bytes32) {
                          bytes32 permitHash = _hashPermitDetails(permitSingle.details);
                          return
                              keccak256(abi.encode(_PERMIT_SINGLE_TYPEHASH, permitHash, permitSingle.spender, permitSingle.sigDeadline));
                      }
                      function hash(IAllowanceTransfer.PermitBatch memory permitBatch) internal pure returns (bytes32) {
                          uint256 numPermits = permitBatch.details.length;
                          bytes32[] memory permitHashes = new bytes32[](numPermits);
                          for (uint256 i = 0; i < numPermits; ++i) {
                              permitHashes[i] = _hashPermitDetails(permitBatch.details[i]);
                          }
                          return keccak256(
                              abi.encode(
                                  _PERMIT_BATCH_TYPEHASH,
                                  keccak256(abi.encodePacked(permitHashes)),
                                  permitBatch.spender,
                                  permitBatch.sigDeadline
                              )
                          );
                      }
                      function hash(ISignatureTransfer.PermitTransferFrom memory permit) internal view returns (bytes32) {
                          bytes32 tokenPermissionsHash = _hashTokenPermissions(permit.permitted);
                          return keccak256(
                              abi.encode(_PERMIT_TRANSFER_FROM_TYPEHASH, tokenPermissionsHash, msg.sender, permit.nonce, permit.deadline)
                          );
                      }
                      function hash(ISignatureTransfer.PermitBatchTransferFrom memory permit) internal view returns (bytes32) {
                          uint256 numPermitted = permit.permitted.length;
                          bytes32[] memory tokenPermissionHashes = new bytes32[](numPermitted);
                          for (uint256 i = 0; i < numPermitted; ++i) {
                              tokenPermissionHashes[i] = _hashTokenPermissions(permit.permitted[i]);
                          }
                          return keccak256(
                              abi.encode(
                                  _PERMIT_BATCH_TRANSFER_FROM_TYPEHASH,
                                  keccak256(abi.encodePacked(tokenPermissionHashes)),
                                  msg.sender,
                                  permit.nonce,
                                  permit.deadline
                              )
                          );
                      }
                      function hashWithWitness(
                          ISignatureTransfer.PermitTransferFrom memory permit,
                          bytes32 witness,
                          string calldata witnessTypeString
                      ) internal view returns (bytes32) {
                          bytes32 typeHash = keccak256(abi.encodePacked(_PERMIT_TRANSFER_FROM_WITNESS_TYPEHASH_STUB, witnessTypeString));
                          bytes32 tokenPermissionsHash = _hashTokenPermissions(permit.permitted);
                          return keccak256(abi.encode(typeHash, tokenPermissionsHash, msg.sender, permit.nonce, permit.deadline, witness));
                      }
                      function hashWithWitness(
                          ISignatureTransfer.PermitBatchTransferFrom memory permit,
                          bytes32 witness,
                          string calldata witnessTypeString
                      ) internal view returns (bytes32) {
                          bytes32 typeHash =
                              keccak256(abi.encodePacked(_PERMIT_BATCH_WITNESS_TRANSFER_FROM_TYPEHASH_STUB, witnessTypeString));
                          uint256 numPermitted = permit.permitted.length;
                          bytes32[] memory tokenPermissionHashes = new bytes32[](numPermitted);
                          for (uint256 i = 0; i < numPermitted; ++i) {
                              tokenPermissionHashes[i] = _hashTokenPermissions(permit.permitted[i]);
                          }
                          return keccak256(
                              abi.encode(
                                  typeHash,
                                  keccak256(abi.encodePacked(tokenPermissionHashes)),
                                  msg.sender,
                                  permit.nonce,
                                  permit.deadline,
                                  witness
                              )
                          );
                      }
                      function _hashPermitDetails(IAllowanceTransfer.PermitDetails memory details) private pure returns (bytes32) {
                          return keccak256(abi.encode(_PERMIT_DETAILS_TYPEHASH, details));
                      }
                      function _hashTokenPermissions(ISignatureTransfer.TokenPermissions memory permitted)
                          private
                          pure
                          returns (bytes32)
                      {
                          return keccak256(abi.encode(_TOKEN_PERMISSIONS_TYPEHASH, permitted));
                      }
                  }
                  // SPDX-License-Identifier: MIT
                  pragma solidity ^0.8.17;
                  import {IERC1271} from "../interfaces/IERC1271.sol";
                  library SignatureVerification {
                      /// @notice Thrown when the passed in signature is not a valid length
                      error InvalidSignatureLength();
                      /// @notice Thrown when the recovered signer is equal to the zero address
                      error InvalidSignature();
                      /// @notice Thrown when the recovered signer does not equal the claimedSigner
                      error InvalidSigner();
                      /// @notice Thrown when the recovered contract signature is incorrect
                      error InvalidContractSignature();
                      bytes32 constant UPPER_BIT_MASK = (0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff);
                      function verify(bytes calldata signature, bytes32 hash, address claimedSigner) internal view {
                          bytes32 r;
                          bytes32 s;
                          uint8 v;
                          if (claimedSigner.code.length == 0) {
                              if (signature.length == 65) {
                                  (r, s) = abi.decode(signature, (bytes32, bytes32));
                                  v = uint8(signature[64]);
                              } else if (signature.length == 64) {
                                  // EIP-2098
                                  bytes32 vs;
                                  (r, vs) = abi.decode(signature, (bytes32, bytes32));
                                  s = vs & UPPER_BIT_MASK;
                                  v = uint8(uint256(vs >> 255)) + 27;
                              } else {
                                  revert InvalidSignatureLength();
                              }
                              address signer = ecrecover(hash, v, r, s);
                              if (signer == address(0)) revert InvalidSignature();
                              if (signer != claimedSigner) revert InvalidSigner();
                          } else {
                              bytes4 magicValue = IERC1271(claimedSigner).isValidSignature(hash, signature);
                              if (magicValue != IERC1271.isValidSignature.selector) revert InvalidContractSignature();
                          }
                      }
                  }
                  

                  File 3 of 7: 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;
                      }
                  }
                  
                  
                  /*
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                                         Version 3, 29 June 2007
                  
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                  File 4 of 7: MiniMeToken
                  /**
                   *Submitted for verification at Etherscan.io on 2018-10-28
                  */
                  
                  pragma solidity ^0.4.24;
                  // File: @aragon/apps-shared-minime/contracts/ITokenController.sol
                  /// @dev The token controller contract must implement these functions
                  
                  
                  interface ITokenController {
                      /// @notice Called when `_owner` sends ether to the MiniMe Token contract
                      /// @param _owner The address that sent the ether to create tokens
                      /// @return True if the ether is accepted, false if it throws
                      function proxyPayment(address _owner) external payable returns(bool);
                  
                      /// @notice Notifies the controller about a token transfer allowing the
                      ///  controller to react if desired
                      /// @param _from The origin of the transfer
                      /// @param _to The destination of the transfer
                      /// @param _amount The amount of the transfer
                      /// @return False if the controller does not authorize the transfer
                      function onTransfer(address _from, address _to, uint _amount) external returns(bool);
                  
                      /// @notice Notifies the controller about an approval allowing the
                      ///  controller to react if desired
                      /// @param _owner The address that calls `approve()`
                      /// @param _spender The spender in the `approve()` call
                      /// @param _amount The amount in the `approve()` call
                      /// @return False if the controller does not authorize the approval
                      function onApprove(address _owner, address _spender, uint _amount) external returns(bool);
                  }
                  // File: @aragon/apps-shared-minime/contracts/MiniMeToken.sol
                  /*
                      Copyright 2016, Jordi Baylina
                      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/>.
                   */
                  
                  /// @title MiniMeToken Contract
                  /// @author Jordi Baylina
                  /// @dev This token contract's goal is to make it easy for anyone to clone this
                  ///  token using the token distribution at a given block, this will allow DAO's
                  ///  and DApps to upgrade their features in a decentralized manner without
                  ///  affecting the original token
                  /// @dev It is ERC20 compliant, but still needs to under go further testing.
                  
                  
                  contract Controlled {
                      /// @notice The address of the controller is the only address that can call
                      ///  a function with this modifier
                      modifier onlyController {
                          require(msg.sender == controller);
                          _;
                      }
                  
                      address public controller;
                  
                      function Controlled()  public { controller = msg.sender;}
                  
                      /// @notice Changes the controller of the contract
                      /// @param _newController The new controller of the contract
                      function changeController(address _newController) onlyController  public {
                          controller = _newController;
                      }
                  }
                  
                  contract ApproveAndCallFallBack {
                      function receiveApproval(
                          address from,
                          uint256 _amount,
                          address _token,
                          bytes _data
                      ) public;
                  }
                  
                  /// @dev The actual token contract, the default controller is the msg.sender
                  ///  that deploys the contract, so usually this token will be deployed by a
                  ///  token controller contract, which Giveth will call a "Campaign"
                  contract MiniMeToken is Controlled {
                  
                      string public name;                //The Token's name: e.g. DigixDAO Tokens
                      uint8 public decimals;             //Number of decimals of the smallest unit
                      string public symbol;              //An identifier: e.g. REP
                      string public version = "MMT_0.1"; //An arbitrary versioning scheme
                  
                  
                      /// @dev `Checkpoint` is the structure that attaches a block number to a
                      ///  given value, the block number attached is the one that last changed the
                      ///  value
                      struct Checkpoint {
                  
                          // `fromBlock` is the block number that the value was generated from
                          uint128 fromBlock;
                  
                          // `value` is the amount of tokens at a specific block number
                          uint128 value;
                      }
                  
                      // `parentToken` is the Token address that was cloned to produce this token;
                      //  it will be 0x0 for a token that was not cloned
                      MiniMeToken public parentToken;
                  
                      // `parentSnapShotBlock` is the block number from the Parent Token that was
                      //  used to determine the initial distribution of the Clone Token
                      uint public parentSnapShotBlock;
                  
                      // `creationBlock` is the block number that the Clone Token was created
                      uint public creationBlock;
                  
                      // `balances` is the map that tracks the balance of each address, in this
                      //  contract when the balance changes the block number that the change
                      //  occurred is also included in the map
                      mapping (address => Checkpoint[]) balances;
                  
                      // `allowed` tracks any extra transfer rights as in all ERC20 tokens
                      mapping (address => mapping (address => uint256)) allowed;
                  
                      // Tracks the history of the `totalSupply` of the token
                      Checkpoint[] totalSupplyHistory;
                  
                      // Flag that determines if the token is transferable or not.
                      bool public transfersEnabled;
                  
                      // The factory used to create new clone tokens
                      MiniMeTokenFactory public tokenFactory;
                  
                  ////////////////
                  // Constructor
                  ////////////////
                  
                      /// @notice Constructor to create a MiniMeToken
                      /// @param _tokenFactory The address of the MiniMeTokenFactory contract that
                      ///  will create the Clone token contracts, the token factory needs to be
                      ///  deployed first
                      /// @param _parentToken Address of the parent token, set to 0x0 if it is a
                      ///  new token
                      /// @param _parentSnapShotBlock Block of the parent token that will
                      ///  determine the initial distribution of the clone token, set to 0 if it
                      ///  is a new token
                      /// @param _tokenName Name of the new token
                      /// @param _decimalUnits Number of decimals of the new token
                      /// @param _tokenSymbol Token Symbol for the new token
                      /// @param _transfersEnabled If true, tokens will be able to be transferred
                      function MiniMeToken(
                          MiniMeTokenFactory _tokenFactory,
                          MiniMeToken _parentToken,
                          uint _parentSnapShotBlock,
                          string _tokenName,
                          uint8 _decimalUnits,
                          string _tokenSymbol,
                          bool _transfersEnabled
                      )  public
                      {
                          tokenFactory = _tokenFactory;
                          name = _tokenName;                                 // Set the name
                          decimals = _decimalUnits;                          // Set the decimals
                          symbol = _tokenSymbol;                             // Set the symbol
                          parentToken = _parentToken;
                          parentSnapShotBlock = _parentSnapShotBlock;
                          transfersEnabled = _transfersEnabled;
                          creationBlock = block.number;
                      }
                  
                  
                  ///////////////////
                  // ERC20 Methods
                  ///////////////////
                  
                      /// @notice Send `_amount` tokens to `_to` from `msg.sender`
                      /// @param _to The address of the recipient
                      /// @param _amount The amount of tokens to be transferred
                      /// @return Whether the transfer was successful or not
                      function transfer(address _to, uint256 _amount) public returns (bool success) {
                          require(transfersEnabled);
                          return doTransfer(msg.sender, _to, _amount);
                      }
                  
                      /// @notice Send `_amount` tokens to `_to` from `_from` on the condition it
                      ///  is approved by `_from`
                      /// @param _from The address holding the tokens being transferred
                      /// @param _to The address of the recipient
                      /// @param _amount The amount of tokens to be transferred
                      /// @return True if the transfer was successful
                      function transferFrom(address _from, address _to, uint256 _amount) public returns (bool success) {
                  
                          // The controller of this contract can move tokens around at will,
                          //  this is important to recognize! Confirm that you trust the
                          //  controller of this contract, which in most situations should be
                          //  another open source smart contract or 0x0
                          if (msg.sender != controller) {
                              require(transfersEnabled);
                  
                              // The standard ERC 20 transferFrom functionality
                              if (allowed[_from][msg.sender] < _amount)
                                  return false;
                              allowed[_from][msg.sender] -= _amount;
                          }
                          return doTransfer(_from, _to, _amount);
                      }
                  
                      /// @dev This is the actual transfer function in the token contract, it can
                      ///  only be called by other functions in this contract.
                      /// @param _from The address holding the tokens being transferred
                      /// @param _to The address of the recipient
                      /// @param _amount The amount of tokens to be transferred
                      /// @return True if the transfer was successful
                      function doTransfer(address _from, address _to, uint _amount) internal returns(bool) {
                          if (_amount == 0) {
                              return true;
                          }
                          require(parentSnapShotBlock < block.number);
                          // Do not allow transfer to 0x0 or the token contract itself
                          require((_to != 0) && (_to != address(this)));
                          // If the amount being transfered is more than the balance of the
                          //  account the transfer returns false
                          var previousBalanceFrom = balanceOfAt(_from, block.number);
                          if (previousBalanceFrom < _amount) {
                              return false;
                          }
                          // Alerts the token controller of the transfer
                          if (isContract(controller)) {
                              // Adding the ` == true` makes the linter shut up so...
                              require(ITokenController(controller).onTransfer(_from, _to, _amount) == true);
                          }
                          // First update the balance array with the new value for the address
                          //  sending the tokens
                          updateValueAtNow(balances[_from], previousBalanceFrom - _amount);
                          // Then update the balance array with the new value for the address
                          //  receiving the tokens
                          var previousBalanceTo = balanceOfAt(_to, block.number);
                          require(previousBalanceTo + _amount >= previousBalanceTo); // Check for overflow
                          updateValueAtNow(balances[_to], previousBalanceTo + _amount);
                          // An event to make the transfer easy to find on the blockchain
                          Transfer(_from, _to, _amount);
                          return true;
                      }
                  
                      /// @param _owner The address that's balance is being requested
                      /// @return The balance of `_owner` at the current block
                      function balanceOf(address _owner) public constant returns (uint256 balance) {
                          return balanceOfAt(_owner, block.number);
                      }
                  
                      /// @notice `msg.sender` approves `_spender` to spend `_amount` tokens on
                      ///  its behalf. This is a modified version of the ERC20 approve function
                      ///  to be a little bit safer
                      /// @param _spender The address of the account able to transfer the tokens
                      /// @param _amount The amount of tokens to be approved for transfer
                      /// @return True if the approval was successful
                      function approve(address _spender, uint256 _amount) public returns (bool success) {
                          require(transfersEnabled);
                  
                          // To change the approve amount you first have to reduce the addresses`
                          //  allowance to zero by calling `approve(_spender,0)` if it is not
                          //  already 0 to mitigate the race condition described here:
                          //  https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
                          require((_amount == 0) || (allowed[msg.sender][_spender] == 0));
                  
                          // Alerts the token controller of the approve function call
                          if (isContract(controller)) {
                              // Adding the ` == true` makes the linter shut up so...
                              require(ITokenController(controller).onApprove(msg.sender, _spender, _amount) == true);
                          }
                  
                          allowed[msg.sender][_spender] = _amount;
                          Approval(msg.sender, _spender, _amount);
                          return true;
                      }
                  
                      /// @dev This function makes it easy to read the `allowed[]` map
                      /// @param _owner The address of the account that owns the token
                      /// @param _spender The address of the account able to transfer the tokens
                      /// @return Amount of remaining tokens of _owner that _spender is allowed
                      ///  to spend
                      function allowance(address _owner, address _spender) public constant returns (uint256 remaining) {
                          return allowed[_owner][_spender];
                      }
                  
                      /// @notice `msg.sender` approves `_spender` to send `_amount` tokens on
                      ///  its behalf, and then a function is triggered in the contract that is
                      ///  being approved, `_spender`. This allows users to use their tokens to
                      ///  interact with contracts in one function call instead of two
                      /// @param _spender The address of the contract able to transfer the tokens
                      /// @param _amount The amount of tokens to be approved for transfer
                      /// @return True if the function call was successful
                      function approveAndCall(ApproveAndCallFallBack _spender, uint256 _amount, bytes _extraData) public returns (bool success) {
                          require(approve(_spender, _amount));
                  
                          _spender.receiveApproval(
                              msg.sender,
                              _amount,
                              this,
                              _extraData
                          );
                  
                          return true;
                      }
                  
                      /// @dev This function makes it easy to get the total number of tokens
                      /// @return The total number of tokens
                      function totalSupply() public constant returns (uint) {
                          return totalSupplyAt(block.number);
                      }
                  
                  
                  ////////////////
                  // Query balance and totalSupply in History
                  ////////////////
                  
                      /// @dev Queries the balance of `_owner` at a specific `_blockNumber`
                      /// @param _owner The address from which the balance will be retrieved
                      /// @param _blockNumber The block number when the balance is queried
                      /// @return The balance at `_blockNumber`
                      function balanceOfAt(address _owner, uint _blockNumber) public constant returns (uint) {
                  
                          // These next few lines are used when the balance of the token is
                          //  requested before a check point was ever created for this token, it
                          //  requires that the `parentToken.balanceOfAt` be queried at the
                          //  genesis block for that token as this contains initial balance of
                          //  this token
                          if ((balances[_owner].length == 0) || (balances[_owner][0].fromBlock > _blockNumber)) {
                              if (address(parentToken) != 0) {
                                  return parentToken.balanceOfAt(_owner, min(_blockNumber, parentSnapShotBlock));
                              } else {
                                  // Has no parent
                                  return 0;
                              }
                  
                          // This will return the expected balance during normal situations
                          } else {
                              return getValueAt(balances[_owner], _blockNumber);
                          }
                      }
                  
                      /// @notice Total amount of tokens at a specific `_blockNumber`.
                      /// @param _blockNumber The block number when the totalSupply is queried
                      /// @return The total amount of tokens at `_blockNumber`
                      function totalSupplyAt(uint _blockNumber) public constant returns(uint) {
                  
                          // These next few lines are used when the totalSupply of the token is
                          //  requested before a check point was ever created for this token, it
                          //  requires that the `parentToken.totalSupplyAt` be queried at the
                          //  genesis block for this token as that contains totalSupply of this
                          //  token at this block number.
                          if ((totalSupplyHistory.length == 0) || (totalSupplyHistory[0].fromBlock > _blockNumber)) {
                              if (address(parentToken) != 0) {
                                  return parentToken.totalSupplyAt(min(_blockNumber, parentSnapShotBlock));
                              } else {
                                  return 0;
                              }
                  
                          // This will return the expected totalSupply during normal situations
                          } else {
                              return getValueAt(totalSupplyHistory, _blockNumber);
                          }
                      }
                  
                  ////////////////
                  // Clone Token Method
                  ////////////////
                  
                      /// @notice Creates a new clone token with the initial distribution being
                      ///  this token at `_snapshotBlock`
                      /// @param _cloneTokenName Name of the clone token
                      /// @param _cloneDecimalUnits Number of decimals of the smallest unit
                      /// @param _cloneTokenSymbol Symbol of the clone token
                      /// @param _snapshotBlock Block when the distribution of the parent token is
                      ///  copied to set the initial distribution of the new clone token;
                      ///  if the block is zero than the actual block, the current block is used
                      /// @param _transfersEnabled True if transfers are allowed in the clone
                      /// @return The address of the new MiniMeToken Contract
                      function createCloneToken(
                          string _cloneTokenName,
                          uint8 _cloneDecimalUnits,
                          string _cloneTokenSymbol,
                          uint _snapshotBlock,
                          bool _transfersEnabled
                      ) public returns(MiniMeToken)
                      {
                          uint256 snapshot = _snapshotBlock == 0 ? block.number - 1 : _snapshotBlock;
                  
                          MiniMeToken cloneToken = tokenFactory.createCloneToken(
                              this,
                              snapshot,
                              _cloneTokenName,
                              _cloneDecimalUnits,
                              _cloneTokenSymbol,
                              _transfersEnabled
                          );
                  
                          cloneToken.changeController(msg.sender);
                  
                          // An event to make the token easy to find on the blockchain
                          NewCloneToken(address(cloneToken), snapshot);
                          return cloneToken;
                      }
                  
                  ////////////////
                  // Generate and destroy tokens
                  ////////////////
                  
                      /// @notice Generates `_amount` tokens that are assigned to `_owner`
                      /// @param _owner The address that will be assigned the new tokens
                      /// @param _amount The quantity of tokens generated
                      /// @return True if the tokens are generated correctly
                      function generateTokens(address _owner, uint _amount) onlyController public returns (bool) {
                          uint curTotalSupply = totalSupply();
                          require(curTotalSupply + _amount >= curTotalSupply); // Check for overflow
                          uint previousBalanceTo = balanceOf(_owner);
                          require(previousBalanceTo + _amount >= previousBalanceTo); // Check for overflow
                          updateValueAtNow(totalSupplyHistory, curTotalSupply + _amount);
                          updateValueAtNow(balances[_owner], previousBalanceTo + _amount);
                          Transfer(0, _owner, _amount);
                          return true;
                      }
                  
                  
                      /// @notice Burns `_amount` tokens from `_owner`
                      /// @param _owner The address that will lose the tokens
                      /// @param _amount The quantity of tokens to burn
                      /// @return True if the tokens are burned correctly
                      function destroyTokens(address _owner, uint _amount) onlyController public returns (bool) {
                          uint curTotalSupply = totalSupply();
                          require(curTotalSupply >= _amount);
                          uint previousBalanceFrom = balanceOf(_owner);
                          require(previousBalanceFrom >= _amount);
                          updateValueAtNow(totalSupplyHistory, curTotalSupply - _amount);
                          updateValueAtNow(balances[_owner], previousBalanceFrom - _amount);
                          Transfer(_owner, 0, _amount);
                          return true;
                      }
                  
                  ////////////////
                  // Enable tokens transfers
                  ////////////////
                  
                  
                      /// @notice Enables token holders to transfer their tokens freely if true
                      /// @param _transfersEnabled True if transfers are allowed in the clone
                      function enableTransfers(bool _transfersEnabled) onlyController public {
                          transfersEnabled = _transfersEnabled;
                      }
                  
                  ////////////////
                  // Internal helper functions to query and set a value in a snapshot array
                  ////////////////
                  
                      /// @dev `getValueAt` retrieves the number of tokens at a given block number
                      /// @param checkpoints The history of values being queried
                      /// @param _block The block number to retrieve the value at
                      /// @return The number of tokens being queried
                      function getValueAt(Checkpoint[] storage checkpoints, uint _block) constant internal returns (uint) {
                          if (checkpoints.length == 0)
                              return 0;
                  
                          // Shortcut for the actual value
                          if (_block >= checkpoints[checkpoints.length-1].fromBlock)
                              return checkpoints[checkpoints.length-1].value;
                          if (_block < checkpoints[0].fromBlock)
                              return 0;
                  
                          // Binary search of the value in the array
                          uint min = 0;
                          uint max = checkpoints.length-1;
                          while (max > min) {
                              uint mid = (max + min + 1) / 2;
                              if (checkpoints[mid].fromBlock<=_block) {
                                  min = mid;
                              } else {
                                  max = mid-1;
                              }
                          }
                          return checkpoints[min].value;
                      }
                  
                      /// @dev `updateValueAtNow` used to update the `balances` map and the
                      ///  `totalSupplyHistory`
                      /// @param checkpoints The history of data being updated
                      /// @param _value The new number of tokens
                      function updateValueAtNow(Checkpoint[] storage checkpoints, uint _value) internal {
                          if ((checkpoints.length == 0) || (checkpoints[checkpoints.length - 1].fromBlock < block.number)) {
                              Checkpoint storage newCheckPoint = checkpoints[checkpoints.length++];
                              newCheckPoint.fromBlock = uint128(block.number);
                              newCheckPoint.value = uint128(_value);
                          } else {
                              Checkpoint storage oldCheckPoint = checkpoints[checkpoints.length - 1];
                              oldCheckPoint.value = uint128(_value);
                          }
                      }
                  
                      /// @dev Internal function to determine if an address is a contract
                      /// @param _addr The address being queried
                      /// @return True if `_addr` is a contract
                      function isContract(address _addr) constant internal returns(bool) {
                          uint size;
                          if (_addr == 0)
                              return false;
                  
                          assembly {
                              size := extcodesize(_addr)
                          }
                  
                          return size>0;
                      }
                  
                      /// @dev Helper function to return a min betwen the two uints
                      function min(uint a, uint b) pure internal returns (uint) {
                          return a < b ? a : b;
                      }
                  
                      /// @notice The fallback function: If the contract's controller has not been
                      ///  set to 0, then the `proxyPayment` method is called which relays the
                      ///  ether and creates tokens as described in the token controller contract
                      function () external payable {
                          require(isContract(controller));
                          // Adding the ` == true` makes the linter shut up so...
                          require(ITokenController(controller).proxyPayment.value(msg.value)(msg.sender) == true);
                      }
                  
                  //////////
                  // Safety Methods
                  //////////
                  
                      /// @notice This method can be used by the controller to extract mistakenly
                      ///  sent tokens to this contract.
                      /// @param _token The address of the token contract that you want to recover
                      ///  set to 0 in case you want to extract ether.
                      function claimTokens(address _token) onlyController public {
                          if (_token == 0x0) {
                              controller.transfer(this.balance);
                              return;
                          }
                  
                          MiniMeToken token = MiniMeToken(_token);
                          uint balance = token.balanceOf(this);
                          token.transfer(controller, balance);
                          ClaimedTokens(_token, controller, balance);
                      }
                  
                  ////////////////
                  // Events
                  ////////////////
                      event ClaimedTokens(address indexed _token, address indexed _controller, uint _amount);
                      event Transfer(address indexed _from, address indexed _to, uint256 _amount);
                      event NewCloneToken(address indexed _cloneToken, uint _snapshotBlock);
                      event Approval(
                          address indexed _owner,
                          address indexed _spender,
                          uint256 _amount
                          );
                  
                  }
                  
                  
                  ////////////////
                  // MiniMeTokenFactory
                  ////////////////
                  
                  /// @dev This contract is used to generate clone contracts from a contract.
                  ///  In solidity this is the way to create a contract from a contract of the
                  ///  same class
                  contract MiniMeTokenFactory {
                  
                      /// @notice Update the DApp by creating a new token with new functionalities
                      ///  the msg.sender becomes the controller of this clone token
                      /// @param _parentToken Address of the token being cloned
                      /// @param _snapshotBlock Block of the parent token that will
                      ///  determine the initial distribution of the clone token
                      /// @param _tokenName Name of the new token
                      /// @param _decimalUnits Number of decimals of the new token
                      /// @param _tokenSymbol Token Symbol for the new token
                      /// @param _transfersEnabled If true, tokens will be able to be transferred
                      /// @return The address of the new token contract
                      function createCloneToken(
                          MiniMeToken _parentToken,
                          uint _snapshotBlock,
                          string _tokenName,
                          uint8 _decimalUnits,
                          string _tokenSymbol,
                          bool _transfersEnabled
                      ) public returns (MiniMeToken)
                      {
                          MiniMeToken newToken = new MiniMeToken(
                              this,
                              _parentToken,
                              _snapshotBlock,
                              _tokenName,
                              _decimalUnits,
                              _tokenSymbol,
                              _transfersEnabled
                          );
                  
                          newToken.changeController(msg.sender);
                          return newToken;
                      }
                  }

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

                  File 6 of 7: TetherToken
                  pragma solidity ^0.4.17;
                  
                  /**
                   * @title SafeMath
                   * @dev Math operations with safety checks that throw on error
                   */
                  library SafeMath {
                      function mul(uint256 a, uint256 b) internal pure returns (uint256) {
                          if (a == 0) {
                              return 0;
                          }
                          uint256 c = a * b;
                          assert(c / a == b);
                          return c;
                      }
                  
                      function div(uint256 a, uint256 b) internal pure returns (uint256) {
                          // assert(b > 0); // Solidity automatically throws when dividing by 0
                          uint256 c = a / b;
                          // assert(a == b * c + a % b); // There is no case in which this doesn't hold
                          return c;
                      }
                  
                      function sub(uint256 a, uint256 b) internal pure returns (uint256) {
                          assert(b <= a);
                          return a - b;
                      }
                  
                      function add(uint256 a, uint256 b) internal pure returns (uint256) {
                          uint256 c = a + b;
                          assert(c >= a);
                          return c;
                      }
                  }
                  
                  /**
                   * @title Ownable
                   * @dev The Ownable contract has an owner address, and provides basic authorization control
                   * functions, this simplifies the implementation of "user permissions".
                   */
                  contract Ownable {
                      address public owner;
                  
                      /**
                        * @dev The Ownable constructor sets the original `owner` of the contract to the sender
                        * account.
                        */
                      function Ownable() public {
                          owner = msg.sender;
                      }
                  
                      /**
                        * @dev Throws if called by any account other than the owner.
                        */
                      modifier onlyOwner() {
                          require(msg.sender == owner);
                          _;
                      }
                  
                      /**
                      * @dev Allows the current owner to transfer control of the contract to a newOwner.
                      * @param newOwner The address to transfer ownership to.
                      */
                      function transferOwnership(address newOwner) public onlyOwner {
                          if (newOwner != address(0)) {
                              owner = newOwner;
                          }
                      }
                  
                  }
                  
                  /**
                   * @title ERC20Basic
                   * @dev Simpler version of ERC20 interface
                   * @dev see https://github.com/ethereum/EIPs/issues/20
                   */
                  contract ERC20Basic {
                      uint public _totalSupply;
                      function totalSupply() public constant returns (uint);
                      function balanceOf(address who) public constant returns (uint);
                      function transfer(address to, uint value) public;
                      event Transfer(address indexed from, address indexed to, uint value);
                  }
                  
                  /**
                   * @title ERC20 interface
                   * @dev see https://github.com/ethereum/EIPs/issues/20
                   */
                  contract ERC20 is ERC20Basic {
                      function allowance(address owner, address spender) public constant returns (uint);
                      function transferFrom(address from, address to, uint value) public;
                      function approve(address spender, uint value) public;
                      event Approval(address indexed owner, address indexed spender, uint value);
                  }
                  
                  /**
                   * @title Basic token
                   * @dev Basic version of StandardToken, with no allowances.
                   */
                  contract BasicToken is Ownable, ERC20Basic {
                      using SafeMath for uint;
                  
                      mapping(address => uint) public balances;
                  
                      // additional variables for use if transaction fees ever became necessary
                      uint public basisPointsRate = 0;
                      uint public maximumFee = 0;
                  
                      /**
                      * @dev Fix for the ERC20 short address attack.
                      */
                      modifier onlyPayloadSize(uint size) {
                          require(!(msg.data.length < size + 4));
                          _;
                      }
                  
                      /**
                      * @dev transfer token for a specified address
                      * @param _to The address to transfer to.
                      * @param _value The amount to be transferred.
                      */
                      function transfer(address _to, uint _value) public onlyPayloadSize(2 * 32) {
                          uint fee = (_value.mul(basisPointsRate)).div(10000);
                          if (fee > maximumFee) {
                              fee = maximumFee;
                          }
                          uint sendAmount = _value.sub(fee);
                          balances[msg.sender] = balances[msg.sender].sub(_value);
                          balances[_to] = balances[_to].add(sendAmount);
                          if (fee > 0) {
                              balances[owner] = balances[owner].add(fee);
                              Transfer(msg.sender, owner, fee);
                          }
                          Transfer(msg.sender, _to, sendAmount);
                      }
                  
                      /**
                      * @dev Gets the balance of the specified address.
                      * @param _owner The address to query the the balance of.
                      * @return An uint representing the amount owned by the passed address.
                      */
                      function balanceOf(address _owner) public constant returns (uint balance) {
                          return balances[_owner];
                      }
                  
                  }
                  
                  /**
                   * @title Standard ERC20 token
                   *
                   * @dev Implementation of the basic standard token.
                   * @dev https://github.com/ethereum/EIPs/issues/20
                   * @dev Based oncode by FirstBlood: https://github.com/Firstbloodio/token/blob/master/smart_contract/FirstBloodToken.sol
                   */
                  contract StandardToken is BasicToken, ERC20 {
                  
                      mapping (address => mapping (address => uint)) public allowed;
                  
                      uint public constant MAX_UINT = 2**256 - 1;
                  
                      /**
                      * @dev Transfer tokens from one address to another
                      * @param _from address The address which you want to send tokens from
                      * @param _to address The address which you want to transfer to
                      * @param _value uint the amount of tokens to be transferred
                      */
                      function transferFrom(address _from, address _to, uint _value) public onlyPayloadSize(3 * 32) {
                          var _allowance = allowed[_from][msg.sender];
                  
                          // Check is not needed because sub(_allowance, _value) will already throw if this condition is not met
                          // if (_value > _allowance) throw;
                  
                          uint fee = (_value.mul(basisPointsRate)).div(10000);
                          if (fee > maximumFee) {
                              fee = maximumFee;
                          }
                          if (_allowance < MAX_UINT) {
                              allowed[_from][msg.sender] = _allowance.sub(_value);
                          }
                          uint sendAmount = _value.sub(fee);
                          balances[_from] = balances[_from].sub(_value);
                          balances[_to] = balances[_to].add(sendAmount);
                          if (fee > 0) {
                              balances[owner] = balances[owner].add(fee);
                              Transfer(_from, owner, fee);
                          }
                          Transfer(_from, _to, sendAmount);
                      }
                  
                      /**
                      * @dev Approve the passed address to spend the specified amount of tokens on behalf of msg.sender.
                      * @param _spender The address which will spend the funds.
                      * @param _value The amount of tokens to be spent.
                      */
                      function approve(address _spender, uint _value) public onlyPayloadSize(2 * 32) {
                  
                          // To change the approve amount you first have to reduce the addresses`
                          //  allowance to zero by calling `approve(_spender, 0)` if it is not
                          //  already 0 to mitigate the race condition described here:
                          //  https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
                          require(!((_value != 0) && (allowed[msg.sender][_spender] != 0)));
                  
                          allowed[msg.sender][_spender] = _value;
                          Approval(msg.sender, _spender, _value);
                      }
                  
                      /**
                      * @dev Function to check the amount of tokens than an owner allowed to a spender.
                      * @param _owner address The address which owns the funds.
                      * @param _spender address The address which will spend the funds.
                      * @return A uint specifying the amount of tokens still available for the spender.
                      */
                      function allowance(address _owner, address _spender) public constant returns (uint remaining) {
                          return allowed[_owner][_spender];
                      }
                  
                  }
                  
                  
                  /**
                   * @title Pausable
                   * @dev Base contract which allows children to implement an emergency stop mechanism.
                   */
                  contract Pausable is Ownable {
                    event Pause();
                    event Unpause();
                  
                    bool public paused = false;
                  
                  
                    /**
                     * @dev Modifier to make a function callable only when the contract is not paused.
                     */
                    modifier whenNotPaused() {
                      require(!paused);
                      _;
                    }
                  
                    /**
                     * @dev Modifier to make a function callable only when the contract is paused.
                     */
                    modifier whenPaused() {
                      require(paused);
                      _;
                    }
                  
                    /**
                     * @dev called by the owner to pause, triggers stopped state
                     */
                    function pause() onlyOwner whenNotPaused public {
                      paused = true;
                      Pause();
                    }
                  
                    /**
                     * @dev called by the owner to unpause, returns to normal state
                     */
                    function unpause() onlyOwner whenPaused public {
                      paused = false;
                      Unpause();
                    }
                  }
                  
                  contract BlackList is Ownable, BasicToken {
                  
                      /////// Getters to allow the same blacklist to be used also by other contracts (including upgraded Tether) ///////
                      function getBlackListStatus(address _maker) external constant returns (bool) {
                          return isBlackListed[_maker];
                      }
                  
                      function getOwner() external constant returns (address) {
                          return owner;
                      }
                  
                      mapping (address => bool) public isBlackListed;
                      
                      function addBlackList (address _evilUser) public onlyOwner {
                          isBlackListed[_evilUser] = true;
                          AddedBlackList(_evilUser);
                      }
                  
                      function removeBlackList (address _clearedUser) public onlyOwner {
                          isBlackListed[_clearedUser] = false;
                          RemovedBlackList(_clearedUser);
                      }
                  
                      function destroyBlackFunds (address _blackListedUser) public onlyOwner {
                          require(isBlackListed[_blackListedUser]);
                          uint dirtyFunds = balanceOf(_blackListedUser);
                          balances[_blackListedUser] = 0;
                          _totalSupply -= dirtyFunds;
                          DestroyedBlackFunds(_blackListedUser, dirtyFunds);
                      }
                  
                      event DestroyedBlackFunds(address _blackListedUser, uint _balance);
                  
                      event AddedBlackList(address _user);
                  
                      event RemovedBlackList(address _user);
                  
                  }
                  
                  contract UpgradedStandardToken is StandardToken{
                      // those methods are called by the legacy contract
                      // and they must ensure msg.sender to be the contract address
                      function transferByLegacy(address from, address to, uint value) public;
                      function transferFromByLegacy(address sender, address from, address spender, uint value) public;
                      function approveByLegacy(address from, address spender, uint value) public;
                  }
                  
                  contract TetherToken is Pausable, StandardToken, BlackList {
                  
                      string public name;
                      string public symbol;
                      uint public decimals;
                      address public upgradedAddress;
                      bool public deprecated;
                  
                      //  The contract can be initialized with a number of tokens
                      //  All the tokens are deposited to the owner address
                      //
                      // @param _balance Initial supply of the contract
                      // @param _name Token Name
                      // @param _symbol Token symbol
                      // @param _decimals Token decimals
                      function TetherToken(uint _initialSupply, string _name, string _symbol, uint _decimals) public {
                          _totalSupply = _initialSupply;
                          name = _name;
                          symbol = _symbol;
                          decimals = _decimals;
                          balances[owner] = _initialSupply;
                          deprecated = false;
                      }
                  
                      // Forward ERC20 methods to upgraded contract if this one is deprecated
                      function transfer(address _to, uint _value) public whenNotPaused {
                          require(!isBlackListed[msg.sender]);
                          if (deprecated) {
                              return UpgradedStandardToken(upgradedAddress).transferByLegacy(msg.sender, _to, _value);
                          } else {
                              return super.transfer(_to, _value);
                          }
                      }
                  
                      // Forward ERC20 methods to upgraded contract if this one is deprecated
                      function transferFrom(address _from, address _to, uint _value) public whenNotPaused {
                          require(!isBlackListed[_from]);
                          if (deprecated) {
                              return UpgradedStandardToken(upgradedAddress).transferFromByLegacy(msg.sender, _from, _to, _value);
                          } else {
                              return super.transferFrom(_from, _to, _value);
                          }
                      }
                  
                      // Forward ERC20 methods to upgraded contract if this one is deprecated
                      function balanceOf(address who) public constant returns (uint) {
                          if (deprecated) {
                              return UpgradedStandardToken(upgradedAddress).balanceOf(who);
                          } else {
                              return super.balanceOf(who);
                          }
                      }
                  
                      // Forward ERC20 methods to upgraded contract if this one is deprecated
                      function approve(address _spender, uint _value) public onlyPayloadSize(2 * 32) {
                          if (deprecated) {
                              return UpgradedStandardToken(upgradedAddress).approveByLegacy(msg.sender, _spender, _value);
                          } else {
                              return super.approve(_spender, _value);
                          }
                      }
                  
                      // Forward ERC20 methods to upgraded contract if this one is deprecated
                      function allowance(address _owner, address _spender) public constant returns (uint remaining) {
                          if (deprecated) {
                              return StandardToken(upgradedAddress).allowance(_owner, _spender);
                          } else {
                              return super.allowance(_owner, _spender);
                          }
                      }
                  
                      // deprecate current contract in favour of a new one
                      function deprecate(address _upgradedAddress) public onlyOwner {
                          deprecated = true;
                          upgradedAddress = _upgradedAddress;
                          Deprecate(_upgradedAddress);
                      }
                  
                      // deprecate current contract if favour of a new one
                      function totalSupply() public constant returns (uint) {
                          if (deprecated) {
                              return StandardToken(upgradedAddress).totalSupply();
                          } else {
                              return _totalSupply;
                          }
                      }
                  
                      // Issue a new amount of tokens
                      // these tokens are deposited into the owner address
                      //
                      // @param _amount Number of tokens to be issued
                      function issue(uint amount) public onlyOwner {
                          require(_totalSupply + amount > _totalSupply);
                          require(balances[owner] + amount > balances[owner]);
                  
                          balances[owner] += amount;
                          _totalSupply += amount;
                          Issue(amount);
                      }
                  
                      // Redeem tokens.
                      // These tokens are withdrawn from the owner address
                      // if the balance must be enough to cover the redeem
                      // or the call will fail.
                      // @param _amount Number of tokens to be issued
                      function redeem(uint amount) public onlyOwner {
                          require(_totalSupply >= amount);
                          require(balances[owner] >= amount);
                  
                          _totalSupply -= amount;
                          balances[owner] -= amount;
                          Redeem(amount);
                      }
                  
                      function setParams(uint newBasisPoints, uint newMaxFee) public onlyOwner {
                          // Ensure transparency by hardcoding limit beyond which fees can never be added
                          require(newBasisPoints < 20);
                          require(newMaxFee < 50);
                  
                          basisPointsRate = newBasisPoints;
                          maximumFee = newMaxFee.mul(10**decimals);
                  
                          Params(basisPointsRate, maximumFee);
                      }
                  
                      // Called when new token are issued
                      event Issue(uint amount);
                  
                      // Called when tokens are redeemed
                      event Redeem(uint amount);
                  
                      // Called when contract is deprecated
                      event Deprecate(address newAddress);
                  
                      // Called if contract ever adds fees
                      event Params(uint feeBasisPoints, uint maxFee);
                  }

                  File 7 of 7: MiniMeTokenController
                  pragma solidity ^0.4.24;
                  
                  /// @dev The token controller contract must implement these functions
                  
                  interface ITokenController {
                      /// @notice Called when `_owner` sends ether to the MiniMe Token contract
                      /// @param _owner The address that sent the ether to create tokens
                      /// @return True if the ether is accepted, false if it throws
                      function proxyPayment(address _owner) external payable returns(bool);
                  
                      /// @notice Notifies the controller about a token transfer allowing the
                      ///  controller to react if desired
                      /// @param _from The origin of the transfer
                      /// @param _to The destination of the transfer
                      /// @param _amount The amount of the transfer
                      /// @return False if the controller does not authorize the transfer
                      function onTransfer(address _from, address _to, uint _amount) external returns(bool);
                  
                      /// @notice Notifies the controller about an approval allowing the
                      ///  controller to react if desired
                      /// @param _owner The address that calls `approve()`
                      /// @param _spender The spender in the `approve()` call
                      /// @param _amount The amount in the `approve()` call
                      /// @return False if the controller does not authorize the approval
                      function onApprove(address _owner, address _spender, uint _amount) external returns(bool);
                  }
                  
                  /*
                      Copyright 2016, Jordi Baylina
                      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/>.
                   */
                  
                  /// @title MiniMeToken Contract
                  /// @author Jordi Baylina
                  /// @dev This token contract's goal is to make it easy for anyone to clone this
                  ///  token using the token distribution at a given block, this will allow DAO's
                  ///  and DApps to upgrade their features in a decentralized manner without
                  ///  affecting the original token
                  /// @dev It is ERC20 compliant, but still needs to under go further testing.
                  
                  contract Controlled {
                      /// @notice The address of the controller is the only address that can call
                      ///  a function with this modifier
                      modifier onlyController {
                          require(msg.sender == controller);
                          _;
                      }
                  
                      address public controller;
                  
                      function Controlled()  public { controller = msg.sender;}
                  
                      /// @notice Changes the controller of the contract
                      /// @param _newController The new controller of the contract
                      function changeController(address _newController) onlyController  public {
                          controller = _newController;
                      }
                  }
                  
                  contract ApproveAndCallFallBack {
                      function receiveApproval(
                          address from,
                          uint256 _amount,
                          address _token,
                          bytes _data
                      ) public;
                  }
                  
                  /// @dev The actual token contract, the default controller is the msg.sender
                  ///  that deploys the contract, so usually this token will be deployed by a
                  ///  token controller contract, which Giveth will call a "Campaign"
                  contract MiniMeToken is Controlled {
                  
                      string public name;                //The Token's name: e.g. DigixDAO Tokens
                      uint8 public decimals;             //Number of decimals of the smallest unit
                      string public symbol;              //An identifier: e.g. REP
                      string public version = "MMT_0.1"; //An arbitrary versioning scheme
                  
                  
                      /// @dev `Checkpoint` is the structure that attaches a block number to a
                      ///  given value, the block number attached is the one that last changed the
                      ///  value
                      struct Checkpoint {
                  
                          // `fromBlock` is the block number that the value was generated from
                          uint128 fromBlock;
                  
                          // `value` is the amount of tokens at a specific block number
                          uint128 value;
                      }
                  
                      // `parentToken` is the Token address that was cloned to produce this token;
                      //  it will be 0x0 for a token that was not cloned
                      MiniMeToken public parentToken;
                  
                      // `parentSnapShotBlock` is the block number from the Parent Token that was
                      //  used to determine the initial distribution of the Clone Token
                      uint public parentSnapShotBlock;
                  
                      // `creationBlock` is the block number that the Clone Token was created
                      uint public creationBlock;
                  
                      // `balances` is the map that tracks the balance of each address, in this
                      //  contract when the balance changes the block number that the change
                      //  occurred is also included in the map
                      mapping (address => Checkpoint[]) balances;
                  
                      // `allowed` tracks any extra transfer rights as in all ERC20 tokens
                      mapping (address => mapping (address => uint256)) allowed;
                  
                      // Tracks the history of the `totalSupply` of the token
                      Checkpoint[] totalSupplyHistory;
                  
                      // Flag that determines if the token is transferable or not.
                      bool public transfersEnabled;
                  
                      // The factory used to create new clone tokens
                      MiniMeTokenFactory public tokenFactory;
                  
                  ////////////////
                  // Constructor
                  ////////////////
                  
                      /// @notice Constructor to create a MiniMeToken
                      /// @param _tokenFactory The address of the MiniMeTokenFactory contract that
                      ///  will create the Clone token contracts, the token factory needs to be
                      ///  deployed first
                      /// @param _parentToken Address of the parent token, set to 0x0 if it is a
                      ///  new token
                      /// @param _parentSnapShotBlock Block of the parent token that will
                      ///  determine the initial distribution of the clone token, set to 0 if it
                      ///  is a new token
                      /// @param _tokenName Name of the new token
                      /// @param _decimalUnits Number of decimals of the new token
                      /// @param _tokenSymbol Token Symbol for the new token
                      /// @param _transfersEnabled If true, tokens will be able to be transferred
                      function MiniMeToken(
                          MiniMeTokenFactory _tokenFactory,
                          MiniMeToken _parentToken,
                          uint _parentSnapShotBlock,
                          string _tokenName,
                          uint8 _decimalUnits,
                          string _tokenSymbol,
                          bool _transfersEnabled
                      )  public
                      {
                          tokenFactory = _tokenFactory;
                          name = _tokenName;                                 // Set the name
                          decimals = _decimalUnits;                          // Set the decimals
                          symbol = _tokenSymbol;                             // Set the symbol
                          parentToken = _parentToken;
                          parentSnapShotBlock = _parentSnapShotBlock;
                          transfersEnabled = _transfersEnabled;
                          creationBlock = block.number;
                      }
                  
                  
                  ///////////////////
                  // ERC20 Methods
                  ///////////////////
                  
                      /// @notice Send `_amount` tokens to `_to` from `msg.sender`
                      /// @param _to The address of the recipient
                      /// @param _amount The amount of tokens to be transferred
                      /// @return Whether the transfer was successful or not
                      function transfer(address _to, uint256 _amount) public returns (bool success) {
                          require(transfersEnabled);
                          return doTransfer(msg.sender, _to, _amount);
                      }
                  
                      /// @notice Send `_amount` tokens to `_to` from `_from` on the condition it
                      ///  is approved by `_from`
                      /// @param _from The address holding the tokens being transferred
                      /// @param _to The address of the recipient
                      /// @param _amount The amount of tokens to be transferred
                      /// @return True if the transfer was successful
                      function transferFrom(address _from, address _to, uint256 _amount) public returns (bool success) {
                  
                          // The controller of this contract can move tokens around at will,
                          //  this is important to recognize! Confirm that you trust the
                          //  controller of this contract, which in most situations should be
                          //  another open source smart contract or 0x0
                          if (msg.sender != controller) {
                              require(transfersEnabled);
                  
                              // The standard ERC 20 transferFrom functionality
                              if (allowed[_from][msg.sender] < _amount)
                                  return false;
                              allowed[_from][msg.sender] -= _amount;
                          }
                          return doTransfer(_from, _to, _amount);
                      }
                  
                      /// @dev This is the actual transfer function in the token contract, it can
                      ///  only be called by other functions in this contract.
                      /// @param _from The address holding the tokens being transferred
                      /// @param _to The address of the recipient
                      /// @param _amount The amount of tokens to be transferred
                      /// @return True if the transfer was successful
                      function doTransfer(address _from, address _to, uint _amount) internal returns(bool) {
                          if (_amount == 0) {
                              return true;
                          }
                          require(parentSnapShotBlock < block.number);
                          // Do not allow transfer to 0x0 or the token contract itself
                          require((_to != 0) && (_to != address(this)));
                          // If the amount being transfered is more than the balance of the
                          //  account the transfer returns false
                          var previousBalanceFrom = balanceOfAt(_from, block.number);
                          if (previousBalanceFrom < _amount) {
                              return false;
                          }
                          // Alerts the token controller of the transfer
                          if (isContract(controller)) {
                              // Adding the ` == true` makes the linter shut up so...
                              require(ITokenController(controller).onTransfer(_from, _to, _amount) == true);
                          }
                          // First update the balance array with the new value for the address
                          //  sending the tokens
                          updateValueAtNow(balances[_from], previousBalanceFrom - _amount);
                          // Then update the balance array with the new value for the address
                          //  receiving the tokens
                          var previousBalanceTo = balanceOfAt(_to, block.number);
                          require(previousBalanceTo + _amount >= previousBalanceTo); // Check for overflow
                          updateValueAtNow(balances[_to], previousBalanceTo + _amount);
                          // An event to make the transfer easy to find on the blockchain
                          Transfer(_from, _to, _amount);
                          return true;
                      }
                  
                      /// @param _owner The address that's balance is being requested
                      /// @return The balance of `_owner` at the current block
                      function balanceOf(address _owner) public constant returns (uint256 balance) {
                          return balanceOfAt(_owner, block.number);
                      }
                  
                      /// @notice `msg.sender` approves `_spender` to spend `_amount` tokens on
                      ///  its behalf. This is a modified version of the ERC20 approve function
                      ///  to be a little bit safer
                      /// @param _spender The address of the account able to transfer the tokens
                      /// @param _amount The amount of tokens to be approved for transfer
                      /// @return True if the approval was successful
                      function approve(address _spender, uint256 _amount) public returns (bool success) {
                          require(transfersEnabled);
                  
                          // To change the approve amount you first have to reduce the addresses`
                          //  allowance to zero by calling `approve(_spender,0)` if it is not
                          //  already 0 to mitigate the race condition described here:
                          //  https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
                          require((_amount == 0) || (allowed[msg.sender][_spender] == 0));
                  
                          // Alerts the token controller of the approve function call
                          if (isContract(controller)) {
                              // Adding the ` == true` makes the linter shut up so...
                              require(ITokenController(controller).onApprove(msg.sender, _spender, _amount) == true);
                          }
                  
                          allowed[msg.sender][_spender] = _amount;
                          Approval(msg.sender, _spender, _amount);
                          return true;
                      }
                  
                      /// @dev This function makes it easy to read the `allowed[]` map
                      /// @param _owner The address of the account that owns the token
                      /// @param _spender The address of the account able to transfer the tokens
                      /// @return Amount of remaining tokens of _owner that _spender is allowed
                      ///  to spend
                      function allowance(address _owner, address _spender) public constant returns (uint256 remaining) {
                          return allowed[_owner][_spender];
                      }
                  
                      /// @notice `msg.sender` approves `_spender` to send `_amount` tokens on
                      ///  its behalf, and then a function is triggered in the contract that is
                      ///  being approved, `_spender`. This allows users to use their tokens to
                      ///  interact with contracts in one function call instead of two
                      /// @param _spender The address of the contract able to transfer the tokens
                      /// @param _amount The amount of tokens to be approved for transfer
                      /// @return True if the function call was successful
                      function approveAndCall(ApproveAndCallFallBack _spender, uint256 _amount, bytes _extraData) public returns (bool success) {
                          require(approve(_spender, _amount));
                  
                          _spender.receiveApproval(
                              msg.sender,
                              _amount,
                              this,
                              _extraData
                          );
                  
                          return true;
                      }
                  
                      /// @dev This function makes it easy to get the total number of tokens
                      /// @return The total number of tokens
                      function totalSupply() public constant returns (uint) {
                          return totalSupplyAt(block.number);
                      }
                  
                  
                  ////////////////
                  // Query balance and totalSupply in History
                  ////////////////
                  
                      /// @dev Queries the balance of `_owner` at a specific `_blockNumber`
                      /// @param _owner The address from which the balance will be retrieved
                      /// @param _blockNumber The block number when the balance is queried
                      /// @return The balance at `_blockNumber`
                      function balanceOfAt(address _owner, uint _blockNumber) public constant returns (uint) {
                  
                          // These next few lines are used when the balance of the token is
                          //  requested before a check point was ever created for this token, it
                          //  requires that the `parentToken.balanceOfAt` be queried at the
                          //  genesis block for that token as this contains initial balance of
                          //  this token
                          if ((balances[_owner].length == 0) || (balances[_owner][0].fromBlock > _blockNumber)) {
                              if (address(parentToken) != 0) {
                                  return parentToken.balanceOfAt(_owner, min(_blockNumber, parentSnapShotBlock));
                              } else {
                                  // Has no parent
                                  return 0;
                              }
                  
                          // This will return the expected balance during normal situations
                          } else {
                              return getValueAt(balances[_owner], _blockNumber);
                          }
                      }
                  
                      /// @notice Total amount of tokens at a specific `_blockNumber`.
                      /// @param _blockNumber The block number when the totalSupply is queried
                      /// @return The total amount of tokens at `_blockNumber`
                      function totalSupplyAt(uint _blockNumber) public constant returns(uint) {
                  
                          // These next few lines are used when the totalSupply of the token is
                          //  requested before a check point was ever created for this token, it
                          //  requires that the `parentToken.totalSupplyAt` be queried at the
                          //  genesis block for this token as that contains totalSupply of this
                          //  token at this block number.
                          if ((totalSupplyHistory.length == 0) || (totalSupplyHistory[0].fromBlock > _blockNumber)) {
                              if (address(parentToken) != 0) {
                                  return parentToken.totalSupplyAt(min(_blockNumber, parentSnapShotBlock));
                              } else {
                                  return 0;
                              }
                  
                          // This will return the expected totalSupply during normal situations
                          } else {
                              return getValueAt(totalSupplyHistory, _blockNumber);
                          }
                      }
                  
                  ////////////////
                  // Clone Token Method
                  ////////////////
                  
                      /// @notice Creates a new clone token with the initial distribution being
                      ///  this token at `_snapshotBlock`
                      /// @param _cloneTokenName Name of the clone token
                      /// @param _cloneDecimalUnits Number of decimals of the smallest unit
                      /// @param _cloneTokenSymbol Symbol of the clone token
                      /// @param _snapshotBlock Block when the distribution of the parent token is
                      ///  copied to set the initial distribution of the new clone token;
                      ///  if the block is zero than the actual block, the current block is used
                      /// @param _transfersEnabled True if transfers are allowed in the clone
                      /// @return The address of the new MiniMeToken Contract
                      function createCloneToken(
                          string _cloneTokenName,
                          uint8 _cloneDecimalUnits,
                          string _cloneTokenSymbol,
                          uint _snapshotBlock,
                          bool _transfersEnabled
                      ) public returns(MiniMeToken)
                      {
                          uint256 snapshot = _snapshotBlock == 0 ? block.number - 1 : _snapshotBlock;
                  
                          MiniMeToken cloneToken = tokenFactory.createCloneToken(
                              this,
                              snapshot,
                              _cloneTokenName,
                              _cloneDecimalUnits,
                              _cloneTokenSymbol,
                              _transfersEnabled
                          );
                  
                          cloneToken.changeController(msg.sender);
                  
                          // An event to make the token easy to find on the blockchain
                          NewCloneToken(address(cloneToken), snapshot);
                          return cloneToken;
                      }
                  
                  ////////////////
                  // Generate and destroy tokens
                  ////////////////
                  
                      /// @notice Generates `_amount` tokens that are assigned to `_owner`
                      /// @param _owner The address that will be assigned the new tokens
                      /// @param _amount The quantity of tokens generated
                      /// @return True if the tokens are generated correctly
                      function generateTokens(address _owner, uint _amount) onlyController public returns (bool) {
                          uint curTotalSupply = totalSupply();
                          require(curTotalSupply + _amount >= curTotalSupply); // Check for overflow
                          uint previousBalanceTo = balanceOf(_owner);
                          require(previousBalanceTo + _amount >= previousBalanceTo); // Check for overflow
                          updateValueAtNow(totalSupplyHistory, curTotalSupply + _amount);
                          updateValueAtNow(balances[_owner], previousBalanceTo + _amount);
                          Transfer(0, _owner, _amount);
                          return true;
                      }
                  
                  
                      /// @notice Burns `_amount` tokens from `_owner`
                      /// @param _owner The address that will lose the tokens
                      /// @param _amount The quantity of tokens to burn
                      /// @return True if the tokens are burned correctly
                      function destroyTokens(address _owner, uint _amount) onlyController public returns (bool) {
                          uint curTotalSupply = totalSupply();
                          require(curTotalSupply >= _amount);
                          uint previousBalanceFrom = balanceOf(_owner);
                          require(previousBalanceFrom >= _amount);
                          updateValueAtNow(totalSupplyHistory, curTotalSupply - _amount);
                          updateValueAtNow(balances[_owner], previousBalanceFrom - _amount);
                          Transfer(_owner, 0, _amount);
                          return true;
                      }
                  
                  ////////////////
                  // Enable tokens transfers
                  ////////////////
                  
                  
                      /// @notice Enables token holders to transfer their tokens freely if true
                      /// @param _transfersEnabled True if transfers are allowed in the clone
                      function enableTransfers(bool _transfersEnabled) onlyController public {
                          transfersEnabled = _transfersEnabled;
                      }
                  
                  ////////////////
                  // Internal helper functions to query and set a value in a snapshot array
                  ////////////////
                  
                      /// @dev `getValueAt` retrieves the number of tokens at a given block number
                      /// @param checkpoints The history of values being queried
                      /// @param _block The block number to retrieve the value at
                      /// @return The number of tokens being queried
                      function getValueAt(Checkpoint[] storage checkpoints, uint _block) constant internal returns (uint) {
                          if (checkpoints.length == 0)
                              return 0;
                  
                          // Shortcut for the actual value
                          if (_block >= checkpoints[checkpoints.length-1].fromBlock)
                              return checkpoints[checkpoints.length-1].value;
                          if (_block < checkpoints[0].fromBlock)
                              return 0;
                  
                          // Binary search of the value in the array
                          uint min = 0;
                          uint max = checkpoints.length-1;
                          while (max > min) {
                              uint mid = (max + min + 1) / 2;
                              if (checkpoints[mid].fromBlock<=_block) {
                                  min = mid;
                              } else {
                                  max = mid-1;
                              }
                          }
                          return checkpoints[min].value;
                      }
                  
                      /// @dev `updateValueAtNow` used to update the `balances` map and the
                      ///  `totalSupplyHistory`
                      /// @param checkpoints The history of data being updated
                      /// @param _value The new number of tokens
                      function updateValueAtNow(Checkpoint[] storage checkpoints, uint _value) internal {
                          require(_value <= uint128(-1));
                  
                          if ((checkpoints.length == 0) || (checkpoints[checkpoints.length - 1].fromBlock < block.number)) {
                              Checkpoint storage newCheckPoint = checkpoints[checkpoints.length++];
                              newCheckPoint.fromBlock = uint128(block.number);
                              newCheckPoint.value = uint128(_value);
                          } else {
                              Checkpoint storage oldCheckPoint = checkpoints[checkpoints.length - 1];
                              oldCheckPoint.value = uint128(_value);
                          }
                      }
                  
                      /// @dev Internal function to determine if an address is a contract
                      /// @param _addr The address being queried
                      /// @return True if `_addr` is a contract
                      function isContract(address _addr) constant internal returns(bool) {
                          uint size;
                          if (_addr == 0)
                              return false;
                  
                          assembly {
                              size := extcodesize(_addr)
                          }
                  
                          return size>0;
                      }
                  
                      /// @dev Helper function to return a min betwen the two uints
                      function min(uint a, uint b) pure internal returns (uint) {
                          return a < b ? a : b;
                      }
                  
                      /// @notice The fallback function: If the contract's controller has not been
                      ///  set to 0, then the `proxyPayment` method is called which relays the
                      ///  ether and creates tokens as described in the token controller contract
                      function () external payable {
                          require(isContract(controller));
                          // Adding the ` == true` makes the linter shut up so...
                          require(ITokenController(controller).proxyPayment.value(msg.value)(msg.sender) == true);
                      }
                  
                  //////////
                  // Safety Methods
                  //////////
                  
                      /// @notice This method can be used by the controller to extract mistakenly
                      ///  sent tokens to this contract.
                      /// @param _token The address of the token contract that you want to recover
                      ///  set to 0 in case you want to extract ether.
                      function claimTokens(address _token) onlyController public {
                          if (_token == 0x0) {
                              controller.transfer(this.balance);
                              return;
                          }
                  
                          MiniMeToken token = MiniMeToken(_token);
                          uint balance = token.balanceOf(this);
                          token.transfer(controller, balance);
                          ClaimedTokens(_token, controller, balance);
                      }
                  
                  ////////////////
                  // Events
                  ////////////////
                      event ClaimedTokens(address indexed _token, address indexed _controller, uint _amount);
                      event Transfer(address indexed _from, address indexed _to, uint256 _amount);
                      event NewCloneToken(address indexed _cloneToken, uint _snapshotBlock);
                      event Approval(
                          address indexed _owner,
                          address indexed _spender,
                          uint256 _amount
                          );
                  
                  }
                  
                  
                  ////////////////
                  // MiniMeTokenFactory
                  ////////////////
                  
                  /// @dev This contract is used to generate clone contracts from a contract.
                  ///  In solidity this is the way to create a contract from a contract of the
                  ///  same class
                  contract MiniMeTokenFactory {
                      event NewFactoryCloneToken(address indexed _cloneToken, address indexed _parentToken, uint _snapshotBlock);
                  
                      /// @notice Update the DApp by creating a new token with new functionalities
                      ///  the msg.sender becomes the controller of this clone token
                      /// @param _parentToken Address of the token being cloned
                      /// @param _snapshotBlock Block of the parent token that will
                      ///  determine the initial distribution of the clone token
                      /// @param _tokenName Name of the new token
                      /// @param _decimalUnits Number of decimals of the new token
                      /// @param _tokenSymbol Token Symbol for the new token
                      /// @param _transfersEnabled If true, tokens will be able to be transferred
                      /// @return The address of the new token contract
                      function createCloneToken(
                          MiniMeToken _parentToken,
                          uint _snapshotBlock,
                          string _tokenName,
                          uint8 _decimalUnits,
                          string _tokenSymbol,
                          bool _transfersEnabled
                      ) public returns (MiniMeToken)
                      {
                          MiniMeToken newToken = new MiniMeToken(
                              this,
                              _parentToken,
                              _snapshotBlock,
                              _tokenName,
                              _decimalUnits,
                              _tokenSymbol,
                              _transfersEnabled
                          );
                  
                          newToken.changeController(msg.sender);
                          NewFactoryCloneToken(address(newToken), address(_parentToken), _snapshotBlock);
                          return newToken;
                      }
                  }
                  
                  /**
                   * @title MiniMeToken Controller
                   * Implements ITokenController interface to allow contracts (e.g. a multisig)
                   * to be the controller of a MiniMeToken.
                   *
                   * @author Val Mack - <[email protected]>
                   * @notice Control of the MiniMeToken contract is delegated to this contract by
                   * this contract's owner. I.e. In order to execute any method on the token
                   * contract that is marked `onlyController`, the owner of this contract calls
                   * the method (with matching function signature) on this contract, and this
                   * contract calls the method on the MiniMeToken, where it is then executed.
                   */
                  contract MiniMeTokenController is ITokenController {
                      address public owner;
                      address public miniMeToken;
                  
                      modifier onlyOwner {
                          require(msg.sender == owner);
                          _;
                      }
                  
                      /**
                       * @dev Constructor
                       * @param _miniMeToken MiniMeToken address that this contract will control
                       */
                      function MiniMeTokenController(address _miniMeToken) public {
                          owner = msg.sender;
                          miniMeToken = _miniMeToken;
                      }
                  
                      /**
                       * @notice Changes this contract's owner
                       * @param _newOwner Address of the new owner
                       */
                      function changeOwner(address _newOwner) public onlyOwner {
                          owner = _newOwner;
                      }
                  
                      /** ITokenController methods */
                  
                      /**
                       * Modified from Aragon TokenManager https://github.com/aragon/aragon-apps/blob/master/apps/token-manager/contracts/TokenManager.sol
                       * @dev Called when ether is sent to the MiniMeToken contract
                       * @return True if the ether is accepted, false for it to throw
                       */
                      function proxyPayment(address) public payable returns (bool) {
                          // Sender check is required to avoid anyone sending ETH to the Token Manager through this method
                          // Even though it is tested, solidity-coverage doesnt get it because
                          // MiniMeToken is not instrumented and entire tx is reverted
                          require(msg.sender == address(miniMeToken), 'Wrong sender');
                          return false;
                      }
                  
                      /**
                       * Modified from Aragon TokenManager https://github.com/aragon/aragon-apps/blob/master/apps/token-manager/contracts/TokenManager.sol
                       * @dev Notifies this contract about a transfer on miniMeToken allowing
                       * this contrfact to react if desired
                       * @return False if the transfer is not authorized
                       */
                      function onTransfer(address, address, uint) public returns (bool) {
                          return true;
                      }
                  
                      /**
                       * Modified from Aragon TokenManager https://github.com/aragon/aragon-apps/blob/master/apps/token-manager/contracts/TokenManager.sol
                       * @dev Notifies this contract about an approval on miniMeToken allowing
                       * this contract to react if desired
                       * @return False if the approval is not authorized
                       */
                      function onApprove(address, address, uint) public returns (bool) {
                          return true;
                      }
                  
                      /** MiniMeToken methods */
                  
                      // Include any methods on MiniMeToken that you need implemented which
                      // are covered by the `onlyController` modifier. Excluding any of those
                      // methods will break their functionality.
                  
                      /**
                       * @notice Changes the controller of miniMeToken
                       * @dev These methods will fail if this contract is not set as the
                       * controller of the assigned `miniMeToken`.
                       * @param _newController The new controller of the contract
                       */
                      function changeController(address _newController) onlyOwner  public {
                          MiniMeToken(miniMeToken).changeController(_newController);
                      }
                  }