ETH Price: $2,030.45 (+3.93%)

Transaction Decoder

Block:
19788280 at May-03-2024 08:04:47 AM +UTC
Transaction Fee:
0.001545756890510096 ETH $3.14
Gas Used:
236,566 Gas / 6.534146456 Gwei

Emitted Events:

216 EntryPoint.BeforeExecution( )
217 0x47bdbd8fd3b73c47c36c8b218347fb3bb9305f18.0x88a5966d370b9919b20f3e2c13ff65706f196a4e32cc2c12bf57088f88525874( 0x88a5966d370b9919b20f3e2c13ff65706f196a4e32cc2c12bf57088f88525874, 0000000000000000000000007a6820b15500cb6cbee18fc654ff06e25214b7cf, 00000000000000000000000000000000000000000000000000078adb74dbb000 )
218 Renzo.Transfer( from=0x2e1a7EF12d0aDeEbF6009F0Aa964cf686364B01f, to=0x7A6820B15500CB6cbee18Fc654Ff06E25214b7Cf, value=11320000000000000000000 )
219 0x2e1a7ef12d0adeebf6009f0aa964cf686364b01f.0x9c91da9f102663943dfb86d851c76de06c2fe178d18a58e45dd7a9cbeea0bb35( 0x9c91da9f102663943dfb86d851c76de06c2fe178d18a58e45dd7a9cbeea0bb35, 0x0000000000000000000000007a6820b15500cb6cbee18fc654ff06e25214b7cf, 000000000000000000000000000000000000000000000265a88ed811cde00000, 000000000000000000000000000000000000000000000000000000006630cf30, 0000000000000000000000000000000000000000000000000000000000000000, 0000000000000000000000000000000000000000000000000000000000000000, 000000000000000000000000000000000000000000000265a88ed811cde00000 )
220 EntryPoint.UserOperationEvent( userOpHash=195696F67B5C23F8BDD95B81EF59C8EB148B1A08705F73218C5725485F40DE0F, sender=0x7A6820B15500CB6cbee18Fc654Ff06E25214b7Cf, paymaster=VerifyingPaymaster, nonce=282, success=True, actualGasCost=1581126225276424, actualGasUsed=241979 )

Account State Difference:

  Address   Before After State Difference Code
2.669405720577050302 Eth2.669405957143050302 Eth0.000000236566
0x2e1a7EF1...86364B01f
(Liquifi: Renzo Airdrop)
0x3B508054...0b23FA6F9
0x47bdBD8f...Bb9305f18 1.068335156271002738 Eth1.070458156271002738 Eth0.002123
0x5FF137D4...a026d2789
(Entry Point 0.6.0)
47.165229880677323549 Eth47.163648754452047125 Eth0.001581126225276424
0x7A6820B1...25214b7Cf
0.031335485442911509 Eth0.029212485442911509 Eth0.002123
0xFd72Ae8F...fd99Eb0AC
(Stackup: Bundler 3)
2.184380162587444309 Eth
Nonce: 3759
2.184415531922210637 Eth
Nonce: 3760
0.000035369334766328

Execution Trace

EntryPoint.handleOps( ops=, beneficiary=0xFd72Ae8Ff5CC18849D83f13A252A0D8fd99Eb0AC )
  • 0x7a6820b15500cb6cbee18fc654ff06e25214b7cf.3a871cdd( )
    • 0x8253291a17d3beb95fadab2751d52b324d22ef2d.3a871cdd( )
      • Null: 0x000...001.195696f6( )
      • Null: 0x000...001.31dea3d4( )
      • VerifyingPaymaster.validatePaymasterUserOp( userOp=[{name:sender, type:address, order:1, indexed:false, value:0x7A6820B15500CB6cbee18Fc654Ff06E25214b7Cf, valueString:0x7A6820B15500CB6cbee18Fc654Ff06E25214b7Cf}, {name:nonce, type:uint256, order:2, indexed:false, value:282, valueString:282}, {name:initCode, type:bytes, order:3, indexed:false, value:0x, valueString:0x}, {name:callData, type:bytes, order:4, indexed:false, value: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valueString: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}, {name:callGasLimit, type:uint256, order:5, indexed:false, value:135265, valueString:135265}, {name:verificationGasLimit, type:uint256, order:6, indexed:false, value:91551, valueString:91551}, {name:preVerificationGas, type:uint256, order:7, indexed:false, value:67646, valueString:67646}, {name:maxFeePerGas, type:uint256, order:8, indexed:false, value:7979999420, valueString:7979999420}, {name:maxPriorityFeePerGas, type:uint256, order:9, indexed:false, value:1000000, valueString:1000000}, {name:paymasterAndData, type:bytes, order:10, indexed:false, value:0x9D6AC51B972544251FCC0F2902E633E3F9BD3F29000000000000000000000000000000000000000000000000000000006634A8A200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000074B519BB19D21730D553855E70A91A04240903902ED64F7368DDE46D2982C7A22D5F8544D8B3E36FEB7BA5F1C59954F87CE7F235790F3A9C7A742E78BDD0A7BA1B, valueString:0x9D6AC51B972544251FCC0F2902E633E3F9BD3F29000000000000000000000000000000000000000000000000000000006634A8A200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000074B519BB19D21730D553855E70A91A04240903902ED64F7368DDE46D2982C7A22D5F8544D8B3E36FEB7BA5F1C59954F87CE7F235790F3A9C7A742E78BDD0A7BA1B}, {name:signature, type:bytes, order:11, indexed:false, value:0xD172706E606838457EABACA2660900C0197446DFAFEF5828C9909E12DA722A6B4BD73A4240DCD0B67585D781270CF5CF8523C5884C947C31177C6A6E69F06FF11B, valueString:0xD172706E606838457EABACA2660900C0197446DFAFEF5828C9909E12DA722A6B4BD73A4240DCD0B67585D781270CF5CF8523C5884C947C31177C6A6E69F06FF11B}], userOpHash=195696F67B5C23F8BDD95B81EF59C8EB148B1A08705F73218C5725485F40DE0F, maxCost=3810960443012880 ) => ( context=0x, validationData=2506076426226628330709465829221771454450501696158615732224 )
        • Null: 0x000...001.785ef374( )
        • EntryPoint.innerHandleOp( callData=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opInfo=[{name:mUserOp, type:tuple, order:1, indexed:false, value:[{name:sender, type:address, order:1, indexed:false, value:0x7A6820B15500CB6cbee18Fc654Ff06E25214b7Cf, valueString:0x7A6820B15500CB6cbee18Fc654Ff06E25214b7Cf}, {name:nonce, type:uint256, order:2, indexed:false, value:282, valueString:282}, {name:callGasLimit, type:uint256, order:3, indexed:false, value:135265, valueString:135265}, {name:verificationGasLimit, type:uint256, order:4, indexed:false, value:91551, valueString:91551}, {name:preVerificationGas, type:uint256, order:5, indexed:false, value:67646, valueString:67646}, {name:paymaster, type:address, order:6, indexed:false, value:0x9D6AC51b972544251Fcc0F2902e633E3f9BD3f29, valueString:0x9D6AC51b972544251Fcc0F2902e633E3f9BD3f29}, {name:maxFeePerGas, type:uint256, order:7, indexed:false, value:7979999420, valueString:7979999420}, {name:maxPriorityFeePerGas, type:uint256, order:8, indexed:false, value:1000000, valueString:1000000}], valueString:[{name:sender, type:address, order:1, indexed:false, value:0x7A6820B15500CB6cbee18Fc654Ff06E25214b7Cf, valueString:0x7A6820B15500CB6cbee18Fc654Ff06E25214b7Cf}, {name:nonce, type:uint256, order:2, indexed:false, value:282, valueString:282}, {name:callGasLimit, type:uint256, order:3, indexed:false, value:135265, valueString:135265}, {name:verificationGasLimit, type:uint256, order:4, indexed:false, value:91551, valueString:91551}, {name:preVerificationGas, type:uint256, order:5, indexed:false, value:67646, valueString:67646}, {name:paymaster, type:address, order:6, indexed:false, value:0x9D6AC51b972544251Fcc0F2902e633E3f9BD3f29, valueString:0x9D6AC51b972544251Fcc0F2902e633E3f9BD3f29}, {name:maxFeePerGas, type:uint256, order:7, indexed:false, value:7979999420, valueString:7979999420}, {name:maxPriorityFeePerGas, type:uint256, order:8, indexed:false, value:1000000, valueString:1000000}]}, {name:userOpHash, type:bytes32, order:2, indexed:false, value:195696F67B5C23F8BDD95B81EF59C8EB148B1A08705F73218C5725485F40DE0F, valueString:195696F67B5C23F8BDD95B81EF59C8EB148B1A08705F73218C5725485F40DE0F}, {name:prefund, type:uint256, order:3, indexed:false, value:3810960443012880, valueString:3810960443012880}, {name:contextOffset, type:uint256, order:4, indexed:false, value:1216, valueString:1216}, {name:preOpGas, type:uint256, order:5, indexed:false, value:122160, valueString:122160}], context=0x ) => ( actualGasCost=1581126225276424 )
          • 0x7a6820b15500cb6cbee18fc654ff06e25214b7cf.940d3c60( )
            • 0x8253291a17d3beb95fadab2751d52b324d22ef2d.940d3c60( )
              • MultiSend.multiSend( transactions=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
                • ETH 0.002123 0x47bdbd8fd3b73c47c36c8b218347fb3bb9305f18.CALL( )
                  • ETH 0.002123 0xd3082872f8b06073a021b4602e022d5a070d7cfc.DELEGATECALL( )
                  • Liquifi: Renzo Airdrop.8132b321( )
                    • 0xb7486b5bd2d14714950b082eafebe9822a1d96ee.8132b321( )
                    • ETH 0.001581126225276424 Stackup: Bundler 3.CALL( )
                      handleOps[EntryPoint (ln:137)]
                      File 1 of 4: EntryPoint
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v4.8.0) (security/ReentrancyGuard.sol)
                      pragma solidity ^0.8.0;
                      /**
                       * @dev Contract module that helps prevent reentrant calls to a function.
                       *
                       * Inheriting from `ReentrancyGuard` will make the {nonReentrant} modifier
                       * available, which can be applied to functions to make sure there are no nested
                       * (reentrant) calls to them.
                       *
                       * Note that because there is a single `nonReentrant` guard, functions marked as
                       * `nonReentrant` may not call one another. This can be worked around by making
                       * those functions `private`, and then adding `external` `nonReentrant` entry
                       * points to them.
                       *
                       * TIP: If you would like to learn more about reentrancy and alternative ways
                       * to protect against it, check out our blog post
                       * https://blog.openzeppelin.com/reentrancy-after-istanbul/[Reentrancy After Istanbul].
                       */
                      abstract contract ReentrancyGuard {
                          // Booleans are more expensive than uint256 or any type that takes up a full
                          // word because each write operation emits an extra SLOAD to first read the
                          // slot's contents, replace the bits taken up by the boolean, and then write
                          // back. This is the compiler's defense against contract upgrades and
                          // pointer aliasing, and it cannot be disabled.
                          // The values being non-zero value makes deployment a bit more expensive,
                          // but in exchange the refund on every call to nonReentrant will be lower in
                          // amount. Since refunds are capped to a percentage of the total
                          // transaction's gas, it is best to keep them low in cases like this one, to
                          // increase the likelihood of the full refund coming into effect.
                          uint256 private constant _NOT_ENTERED = 1;
                          uint256 private constant _ENTERED = 2;
                          uint256 private _status;
                          constructor() {
                              _status = _NOT_ENTERED;
                          }
                          /**
                           * @dev Prevents a contract from calling itself, directly or indirectly.
                           * Calling a `nonReentrant` function from another `nonReentrant`
                           * function is not supported. It is possible to prevent this from happening
                           * by making the `nonReentrant` function external, and making it call a
                           * `private` function that does the actual work.
                           */
                          modifier nonReentrant() {
                              _nonReentrantBefore();
                              _;
                              _nonReentrantAfter();
                          }
                          function _nonReentrantBefore() private {
                              // On the first call to nonReentrant, _status will be _NOT_ENTERED
                              require(_status != _ENTERED, "ReentrancyGuard: reentrant call");
                              // Any calls to nonReentrant after this point will fail
                              _status = _ENTERED;
                          }
                          function _nonReentrantAfter() private {
                              // By storing the original value once again, a refund is triggered (see
                              // https://eips.ethereum.org/EIPS/eip-2200)
                              _status = _NOT_ENTERED;
                          }
                      }
                      /**
                       ** Account-Abstraction (EIP-4337) singleton EntryPoint implementation.
                       ** Only one instance required on each chain.
                       **/
                      // SPDX-License-Identifier: GPL-3.0
                      pragma solidity ^0.8.12;
                      /* solhint-disable avoid-low-level-calls */
                      /* solhint-disable no-inline-assembly */
                      import "../interfaces/IAccount.sol";
                      import "../interfaces/IPaymaster.sol";
                      import "../interfaces/IEntryPoint.sol";
                      import "../utils/Exec.sol";
                      import "./StakeManager.sol";
                      import "./SenderCreator.sol";
                      import "./Helpers.sol";
                      import "./NonceManager.sol";
                      import "@openzeppelin/contracts/security/ReentrancyGuard.sol";
                      contract EntryPoint is IEntryPoint, StakeManager, NonceManager, ReentrancyGuard {
                          using UserOperationLib for UserOperation;
                          SenderCreator private immutable senderCreator = new SenderCreator();
                          // internal value used during simulation: need to query aggregator.
                          address private constant SIMULATE_FIND_AGGREGATOR = address(1);
                          // marker for inner call revert on out of gas
                          bytes32 private constant INNER_OUT_OF_GAS = hex'deaddead';
                          uint256 private constant REVERT_REASON_MAX_LEN = 2048;
                          /**
                           * for simulation purposes, validateUserOp (and validatePaymasterUserOp) must return this value
                           * in case of signature failure, instead of revert.
                           */
                          uint256 public constant SIG_VALIDATION_FAILED = 1;
                          /**
                           * compensate the caller's beneficiary address with the collected fees of all UserOperations.
                           * @param beneficiary the address to receive the fees
                           * @param amount amount to transfer.
                           */
                          function _compensate(address payable beneficiary, uint256 amount) internal {
                              require(beneficiary != address(0), "AA90 invalid beneficiary");
                              (bool success,) = beneficiary.call{value : amount}("");
                              require(success, "AA91 failed send to beneficiary");
                          }
                          /**
                           * execute a user op
                           * @param opIndex index into the opInfo array
                           * @param userOp the userOp to execute
                           * @param opInfo the opInfo filled by validatePrepayment for this userOp.
                           * @return collected the total amount this userOp paid.
                           */
                          function _executeUserOp(uint256 opIndex, UserOperation calldata userOp, UserOpInfo memory opInfo) private returns (uint256 collected) {
                              uint256 preGas = gasleft();
                              bytes memory context = getMemoryBytesFromOffset(opInfo.contextOffset);
                              try this.innerHandleOp(userOp.callData, opInfo, context) returns (uint256 _actualGasCost) {
                                  collected = _actualGasCost;
                              } catch {
                                  bytes32 innerRevertCode;
                                  assembly {
                                      returndatacopy(0, 0, 32)
                                      innerRevertCode := mload(0)
                                  }
                                  // handleOps was called with gas limit too low. abort entire bundle.
                                  if (innerRevertCode == INNER_OUT_OF_GAS) {
                                      //report paymaster, since if it is not deliberately caused by the bundler,
                                      // it must be a revert caused by paymaster.
                                      revert FailedOp(opIndex, "AA95 out of gas");
                                  }
                                  uint256 actualGas = preGas - gasleft() + opInfo.preOpGas;
                                  collected = _handlePostOp(opIndex, IPaymaster.PostOpMode.postOpReverted, opInfo, context, actualGas);
                              }
                          }
                          /**
                           * Execute a batch of UserOperations.
                           * no signature aggregator is used.
                           * if any account requires an aggregator (that is, it returned an aggregator when
                           * performing simulateValidation), then handleAggregatedOps() must be used instead.
                           * @param ops the operations to execute
                           * @param beneficiary the address to receive the fees
                           */
                          function handleOps(UserOperation[] calldata ops, address payable beneficiary) public nonReentrant {
                              uint256 opslen = ops.length;
                              UserOpInfo[] memory opInfos = new UserOpInfo[](opslen);
                          unchecked {
                              for (uint256 i = 0; i < opslen; i++) {
                                  UserOpInfo memory opInfo = opInfos[i];
                                  (uint256 validationData, uint256 pmValidationData) = _validatePrepayment(i, ops[i], opInfo);
                                  _validateAccountAndPaymasterValidationData(i, validationData, pmValidationData, address(0));
                              }
                              uint256 collected = 0;
                              emit BeforeExecution();
                              for (uint256 i = 0; i < opslen; i++) {
                                  collected += _executeUserOp(i, ops[i], opInfos[i]);
                              }
                              _compensate(beneficiary, collected);
                          } //unchecked
                          }
                          /**
                           * Execute a batch of UserOperation with Aggregators
                           * @param opsPerAggregator the operations to execute, grouped by aggregator (or address(0) for no-aggregator accounts)
                           * @param beneficiary the address to receive the fees
                           */
                          function handleAggregatedOps(
                              UserOpsPerAggregator[] calldata opsPerAggregator,
                              address payable beneficiary
                          ) public nonReentrant {
                              uint256 opasLen = opsPerAggregator.length;
                              uint256 totalOps = 0;
                              for (uint256 i = 0; i < opasLen; i++) {
                                  UserOpsPerAggregator calldata opa = opsPerAggregator[i];
                                  UserOperation[] calldata ops = opa.userOps;
                                  IAggregator aggregator = opa.aggregator;
                                  //address(1) is special marker of "signature error"
                                  require(address(aggregator) != address(1), "AA96 invalid aggregator");
                                  if (address(aggregator) != address(0)) {
                                      // solhint-disable-next-line no-empty-blocks
                                      try aggregator.validateSignatures(ops, opa.signature) {}
                                      catch {
                                          revert SignatureValidationFailed(address(aggregator));
                                      }
                                  }
                                  totalOps += ops.length;
                              }
                              UserOpInfo[] memory opInfos = new UserOpInfo[](totalOps);
                              emit BeforeExecution();
                              uint256 opIndex = 0;
                              for (uint256 a = 0; a < opasLen; a++) {
                                  UserOpsPerAggregator calldata opa = opsPerAggregator[a];
                                  UserOperation[] calldata ops = opa.userOps;
                                  IAggregator aggregator = opa.aggregator;
                                  uint256 opslen = ops.length;
                                  for (uint256 i = 0; i < opslen; i++) {
                                      UserOpInfo memory opInfo = opInfos[opIndex];
                                      (uint256 validationData, uint256 paymasterValidationData) = _validatePrepayment(opIndex, ops[i], opInfo);
                                      _validateAccountAndPaymasterValidationData(i, validationData, paymasterValidationData, address(aggregator));
                                      opIndex++;
                                  }
                              }
                              uint256 collected = 0;
                              opIndex = 0;
                              for (uint256 a = 0; a < opasLen; a++) {
                                  UserOpsPerAggregator calldata opa = opsPerAggregator[a];
                                  emit SignatureAggregatorChanged(address(opa.aggregator));
                                  UserOperation[] calldata ops = opa.userOps;
                                  uint256 opslen = ops.length;
                                  for (uint256 i = 0; i < opslen; i++) {
                                      collected += _executeUserOp(opIndex, ops[i], opInfos[opIndex]);
                                      opIndex++;
                                  }
                              }
                              emit SignatureAggregatorChanged(address(0));
                              _compensate(beneficiary, collected);
                          }
                          /// @inheritdoc IEntryPoint
                          function simulateHandleOp(UserOperation calldata op, address target, bytes calldata targetCallData) external override {
                              UserOpInfo memory opInfo;
                              _simulationOnlyValidations(op);
                              (uint256 validationData, uint256 paymasterValidationData) = _validatePrepayment(0, op, opInfo);
                              ValidationData memory data = _intersectTimeRange(validationData, paymasterValidationData);
                              numberMarker();
                              uint256 paid = _executeUserOp(0, op, opInfo);
                              numberMarker();
                              bool targetSuccess;
                              bytes memory targetResult;
                              if (target != address(0)) {
                                  (targetSuccess, targetResult) = target.call(targetCallData);
                              }
                              revert ExecutionResult(opInfo.preOpGas, paid, data.validAfter, data.validUntil, targetSuccess, targetResult);
                          }
                          // A memory copy of UserOp static fields only.
                          // Excluding: callData, initCode and signature. Replacing paymasterAndData with paymaster.
                          struct MemoryUserOp {
                              address sender;
                              uint256 nonce;
                              uint256 callGasLimit;
                              uint256 verificationGasLimit;
                              uint256 preVerificationGas;
                              address paymaster;
                              uint256 maxFeePerGas;
                              uint256 maxPriorityFeePerGas;
                          }
                          struct UserOpInfo {
                              MemoryUserOp mUserOp;
                              bytes32 userOpHash;
                              uint256 prefund;
                              uint256 contextOffset;
                              uint256 preOpGas;
                          }
                          /**
                           * inner function to handle a UserOperation.
                           * Must be declared "external" to open a call context, but it can only be called by handleOps.
                           */
                          function innerHandleOp(bytes memory callData, UserOpInfo memory opInfo, bytes calldata context) external returns (uint256 actualGasCost) {
                              uint256 preGas = gasleft();
                              require(msg.sender == address(this), "AA92 internal call only");
                              MemoryUserOp memory mUserOp = opInfo.mUserOp;
                              uint callGasLimit = mUserOp.callGasLimit;
                          unchecked {
                              // handleOps was called with gas limit too low. abort entire bundle.
                              if (gasleft() < callGasLimit + mUserOp.verificationGasLimit + 5000) {
                                  assembly {
                                      mstore(0, INNER_OUT_OF_GAS)
                                      revert(0, 32)
                                  }
                              }
                          }
                              IPaymaster.PostOpMode mode = IPaymaster.PostOpMode.opSucceeded;
                              if (callData.length > 0) {
                                  bool success = Exec.call(mUserOp.sender, 0, callData, callGasLimit);
                                  if (!success) {
                                      bytes memory result = Exec.getReturnData(REVERT_REASON_MAX_LEN);
                                      if (result.length > 0) {
                                          emit UserOperationRevertReason(opInfo.userOpHash, mUserOp.sender, mUserOp.nonce, result);
                                      }
                                      mode = IPaymaster.PostOpMode.opReverted;
                                  }
                              }
                          unchecked {
                              uint256 actualGas = preGas - gasleft() + opInfo.preOpGas;
                              //note: opIndex is ignored (relevant only if mode==postOpReverted, which is only possible outside of innerHandleOp)
                              return _handlePostOp(0, mode, opInfo, context, actualGas);
                          }
                          }
                          /**
                           * generate a request Id - unique identifier for this request.
                           * the request ID is a hash over the content of the userOp (except the signature), the entrypoint and the chainid.
                           */
                          function getUserOpHash(UserOperation calldata userOp) public view returns (bytes32) {
                              return keccak256(abi.encode(userOp.hash(), address(this), block.chainid));
                          }
                          /**
                           * copy general fields from userOp into the memory opInfo structure.
                           */
                          function _copyUserOpToMemory(UserOperation calldata userOp, MemoryUserOp memory mUserOp) internal pure {
                              mUserOp.sender = userOp.sender;
                              mUserOp.nonce = userOp.nonce;
                              mUserOp.callGasLimit = userOp.callGasLimit;
                              mUserOp.verificationGasLimit = userOp.verificationGasLimit;
                              mUserOp.preVerificationGas = userOp.preVerificationGas;
                              mUserOp.maxFeePerGas = userOp.maxFeePerGas;
                              mUserOp.maxPriorityFeePerGas = userOp.maxPriorityFeePerGas;
                              bytes calldata paymasterAndData = userOp.paymasterAndData;
                              if (paymasterAndData.length > 0) {
                                  require(paymasterAndData.length >= 20, "AA93 invalid paymasterAndData");
                                  mUserOp.paymaster = address(bytes20(paymasterAndData[: 20]));
                              } else {
                                  mUserOp.paymaster = address(0);
                              }
                          }
                          /**
                           * Simulate a call to account.validateUserOp and paymaster.validatePaymasterUserOp.
                           * @dev this method always revert. Successful result is ValidationResult error. other errors are failures.
                           * @dev The node must also verify it doesn't use banned opcodes, and that it doesn't reference storage outside the account's data.
                           * @param userOp the user operation to validate.
                           */
                          function simulateValidation(UserOperation calldata userOp) external {
                              UserOpInfo memory outOpInfo;
                              _simulationOnlyValidations(userOp);
                              (uint256 validationData, uint256 paymasterValidationData) = _validatePrepayment(0, userOp, outOpInfo);
                              StakeInfo memory paymasterInfo = _getStakeInfo(outOpInfo.mUserOp.paymaster);
                              StakeInfo memory senderInfo = _getStakeInfo(outOpInfo.mUserOp.sender);
                              StakeInfo memory factoryInfo;
                              {
                                  bytes calldata initCode = userOp.initCode;
                                  address factory = initCode.length >= 20 ? address(bytes20(initCode[0 : 20])) : address(0);
                                  factoryInfo = _getStakeInfo(factory);
                              }
                              ValidationData memory data = _intersectTimeRange(validationData, paymasterValidationData);
                              address aggregator = data.aggregator;
                              bool sigFailed = aggregator == address(1);
                              ReturnInfo memory returnInfo = ReturnInfo(outOpInfo.preOpGas, outOpInfo.prefund,
                                  sigFailed, data.validAfter, data.validUntil, getMemoryBytesFromOffset(outOpInfo.contextOffset));
                              if (aggregator != address(0) && aggregator != address(1)) {
                                  AggregatorStakeInfo memory aggregatorInfo = AggregatorStakeInfo(aggregator, _getStakeInfo(aggregator));
                                  revert ValidationResultWithAggregation(returnInfo, senderInfo, factoryInfo, paymasterInfo, aggregatorInfo);
                              }
                              revert ValidationResult(returnInfo, senderInfo, factoryInfo, paymasterInfo);
                          }
                          function _getRequiredPrefund(MemoryUserOp memory mUserOp) internal pure returns (uint256 requiredPrefund) {
                          unchecked {
                              //when using a Paymaster, the verificationGasLimit is used also to as a limit for the postOp call.
                              // our security model might call postOp eventually twice
                              uint256 mul = mUserOp.paymaster != address(0) ? 3 : 1;
                              uint256 requiredGas = mUserOp.callGasLimit + mUserOp.verificationGasLimit * mul + mUserOp.preVerificationGas;
                              requiredPrefund = requiredGas * mUserOp.maxFeePerGas;
                          }
                          }
                          // create the sender's contract if needed.
                          function _createSenderIfNeeded(uint256 opIndex, UserOpInfo memory opInfo, bytes calldata initCode) internal {
                              if (initCode.length != 0) {
                                  address sender = opInfo.mUserOp.sender;
                                  if (sender.code.length != 0) revert FailedOp(opIndex, "AA10 sender already constructed");
                                  address sender1 = senderCreator.createSender{gas : opInfo.mUserOp.verificationGasLimit}(initCode);
                                  if (sender1 == address(0)) revert FailedOp(opIndex, "AA13 initCode failed or OOG");
                                  if (sender1 != sender) revert FailedOp(opIndex, "AA14 initCode must return sender");
                                  if (sender1.code.length == 0) revert FailedOp(opIndex, "AA15 initCode must create sender");
                                  address factory = address(bytes20(initCode[0 : 20]));
                                  emit AccountDeployed(opInfo.userOpHash, sender, factory, opInfo.mUserOp.paymaster);
                              }
                          }
                          /**
                           * Get counterfactual sender address.
                           *  Calculate the sender contract address that will be generated by the initCode and salt in the UserOperation.
                           * this method always revert, and returns the address in SenderAddressResult error
                           * @param initCode the constructor code to be passed into the UserOperation.
                           */
                          function getSenderAddress(bytes calldata initCode) public {
                              address sender = senderCreator.createSender(initCode);
                              revert SenderAddressResult(sender);
                          }
                          function _simulationOnlyValidations(UserOperation calldata userOp) internal view {
                              // solhint-disable-next-line no-empty-blocks
                              try this._validateSenderAndPaymaster(userOp.initCode, userOp.sender, userOp.paymasterAndData) {}
                              catch Error(string memory revertReason) {
                                  if (bytes(revertReason).length != 0) {
                                      revert FailedOp(0, revertReason);
                                  }
                              }
                          }
                          /**
                          * Called only during simulation.
                          * This function always reverts to prevent warm/cold storage differentiation in simulation vs execution.
                          */
                          function _validateSenderAndPaymaster(bytes calldata initCode, address sender, bytes calldata paymasterAndData) external view {
                              if (initCode.length == 0 && sender.code.length == 0) {
                                  // it would revert anyway. but give a meaningful message
                                  revert("AA20 account not deployed");
                              }
                              if (paymasterAndData.length >= 20) {
                                  address paymaster = address(bytes20(paymasterAndData[0 : 20]));
                                  if (paymaster.code.length == 0) {
                                      // it would revert anyway. but give a meaningful message
                                      revert("AA30 paymaster not deployed");
                                  }
                              }
                              // always revert
                              revert("");
                          }
                          /**
                           * call account.validateUserOp.
                           * revert (with FailedOp) in case validateUserOp reverts, or account didn't send required prefund.
                           * decrement account's deposit if needed
                           */
                          function _validateAccountPrepayment(uint256 opIndex, UserOperation calldata op, UserOpInfo memory opInfo, uint256 requiredPrefund)
                          internal returns (uint256 gasUsedByValidateAccountPrepayment, uint256 validationData) {
                          unchecked {
                              uint256 preGas = gasleft();
                              MemoryUserOp memory mUserOp = opInfo.mUserOp;
                              address sender = mUserOp.sender;
                              _createSenderIfNeeded(opIndex, opInfo, op.initCode);
                              address paymaster = mUserOp.paymaster;
                              numberMarker();
                              uint256 missingAccountFunds = 0;
                              if (paymaster == address(0)) {
                                  uint256 bal = balanceOf(sender);
                                  missingAccountFunds = bal > requiredPrefund ? 0 : requiredPrefund - bal;
                              }
                              try IAccount(sender).validateUserOp{gas : mUserOp.verificationGasLimit}(op, opInfo.userOpHash, missingAccountFunds)
                              returns (uint256 _validationData) {
                                  validationData = _validationData;
                              } catch Error(string memory revertReason) {
                                  revert FailedOp(opIndex, string.concat("AA23 reverted: ", revertReason));
                              } catch {
                                  revert FailedOp(opIndex, "AA23 reverted (or OOG)");
                              }
                              if (paymaster == address(0)) {
                                  DepositInfo storage senderInfo = deposits[sender];
                                  uint256 deposit = senderInfo.deposit;
                                  if (requiredPrefund > deposit) {
                                      revert FailedOp(opIndex, "AA21 didn't pay prefund");
                                  }
                                  senderInfo.deposit = uint112(deposit - requiredPrefund);
                              }
                              gasUsedByValidateAccountPrepayment = preGas - gasleft();
                          }
                          }
                          /**
                           * In case the request has a paymaster:
                           * Validate paymaster has enough deposit.
                           * Call paymaster.validatePaymasterUserOp.
                           * Revert with proper FailedOp in case paymaster reverts.
                           * Decrement paymaster's deposit
                           */
                          function _validatePaymasterPrepayment(uint256 opIndex, UserOperation calldata op, UserOpInfo memory opInfo, uint256 requiredPreFund, uint256 gasUsedByValidateAccountPrepayment)
                          internal returns (bytes memory context, uint256 validationData) {
                          unchecked {
                              MemoryUserOp memory mUserOp = opInfo.mUserOp;
                              uint256 verificationGasLimit = mUserOp.verificationGasLimit;
                              require(verificationGasLimit > gasUsedByValidateAccountPrepayment, "AA41 too little verificationGas");
                              uint256 gas = verificationGasLimit - gasUsedByValidateAccountPrepayment;
                              address paymaster = mUserOp.paymaster;
                              DepositInfo storage paymasterInfo = deposits[paymaster];
                              uint256 deposit = paymasterInfo.deposit;
                              if (deposit < requiredPreFund) {
                                  revert FailedOp(opIndex, "AA31 paymaster deposit too low");
                              }
                              paymasterInfo.deposit = uint112(deposit - requiredPreFund);
                              try IPaymaster(paymaster).validatePaymasterUserOp{gas : gas}(op, opInfo.userOpHash, requiredPreFund) returns (bytes memory _context, uint256 _validationData){
                                  context = _context;
                                  validationData = _validationData;
                              } catch Error(string memory revertReason) {
                                  revert FailedOp(opIndex, string.concat("AA33 reverted: ", revertReason));
                              } catch {
                                  revert FailedOp(opIndex, "AA33 reverted (or OOG)");
                              }
                          }
                          }
                          /**
                           * revert if either account validationData or paymaster validationData is expired
                           */
                          function _validateAccountAndPaymasterValidationData(uint256 opIndex, uint256 validationData, uint256 paymasterValidationData, address expectedAggregator) internal view {
                              (address aggregator, bool outOfTimeRange) = _getValidationData(validationData);
                              if (expectedAggregator != aggregator) {
                                  revert FailedOp(opIndex, "AA24 signature error");
                              }
                              if (outOfTimeRange) {
                                  revert FailedOp(opIndex, "AA22 expired or not due");
                              }
                              //pmAggregator is not a real signature aggregator: we don't have logic to handle it as address.
                              // non-zero address means that the paymaster fails due to some signature check (which is ok only during estimation)
                              address pmAggregator;
                              (pmAggregator, outOfTimeRange) = _getValidationData(paymasterValidationData);
                              if (pmAggregator != address(0)) {
                                  revert FailedOp(opIndex, "AA34 signature error");
                              }
                              if (outOfTimeRange) {
                                  revert FailedOp(opIndex, "AA32 paymaster expired or not due");
                              }
                          }
                          function _getValidationData(uint256 validationData) internal view returns (address aggregator, bool outOfTimeRange) {
                              if (validationData == 0) {
                                  return (address(0), false);
                              }
                              ValidationData memory data = _parseValidationData(validationData);
                              // solhint-disable-next-line not-rely-on-time
                              outOfTimeRange = block.timestamp > data.validUntil || block.timestamp < data.validAfter;
                              aggregator = data.aggregator;
                          }
                          /**
                           * validate account and paymaster (if defined).
                           * also make sure total validation doesn't exceed verificationGasLimit
                           * this method is called off-chain (simulateValidation()) and on-chain (from handleOps)
                           * @param opIndex the index of this userOp into the "opInfos" array
                           * @param userOp the userOp to validate
                           */
                          function _validatePrepayment(uint256 opIndex, UserOperation calldata userOp, UserOpInfo memory outOpInfo)
                          private returns (uint256 validationData, uint256 paymasterValidationData) {
                              uint256 preGas = gasleft();
                              MemoryUserOp memory mUserOp = outOpInfo.mUserOp;
                              _copyUserOpToMemory(userOp, mUserOp);
                              outOpInfo.userOpHash = getUserOpHash(userOp);
                              // validate all numeric values in userOp are well below 128 bit, so they can safely be added
                              // and multiplied without causing overflow
                              uint256 maxGasValues = mUserOp.preVerificationGas | mUserOp.verificationGasLimit | mUserOp.callGasLimit |
                              userOp.maxFeePerGas | userOp.maxPriorityFeePerGas;
                              require(maxGasValues <= type(uint120).max, "AA94 gas values overflow");
                              uint256 gasUsedByValidateAccountPrepayment;
                              (uint256 requiredPreFund) = _getRequiredPrefund(mUserOp);
                              (gasUsedByValidateAccountPrepayment, validationData) = _validateAccountPrepayment(opIndex, userOp, outOpInfo, requiredPreFund);
                              if (!_validateAndUpdateNonce(mUserOp.sender, mUserOp.nonce)) {
                                  revert FailedOp(opIndex, "AA25 invalid account nonce");
                              }
                              //a "marker" where account opcode validation is done and paymaster opcode validation is about to start
                              // (used only by off-chain simulateValidation)
                              numberMarker();
                              bytes memory context;
                              if (mUserOp.paymaster != address(0)) {
                                  (context, paymasterValidationData) = _validatePaymasterPrepayment(opIndex, userOp, outOpInfo, requiredPreFund, gasUsedByValidateAccountPrepayment);
                              }
                          unchecked {
                              uint256 gasUsed = preGas - gasleft();
                              if (userOp.verificationGasLimit < gasUsed) {
                                  revert FailedOp(opIndex, "AA40 over verificationGasLimit");
                              }
                              outOpInfo.prefund = requiredPreFund;
                              outOpInfo.contextOffset = getOffsetOfMemoryBytes(context);
                              outOpInfo.preOpGas = preGas - gasleft() + userOp.preVerificationGas;
                          }
                          }
                          /**
                           * process post-operation.
                           * called just after the callData is executed.
                           * if a paymaster is defined and its validation returned a non-empty context, its postOp is called.
                           * the excess amount is refunded to the account (or paymaster - if it was used in the request)
                           * @param opIndex index in the batch
                           * @param mode - whether is called from innerHandleOp, or outside (postOpReverted)
                           * @param opInfo userOp fields and info collected during validation
                           * @param context the context returned in validatePaymasterUserOp
                           * @param actualGas the gas used so far by this user operation
                           */
                          function _handlePostOp(uint256 opIndex, IPaymaster.PostOpMode mode, UserOpInfo memory opInfo, bytes memory context, uint256 actualGas) private returns (uint256 actualGasCost) {
                              uint256 preGas = gasleft();
                          unchecked {
                              address refundAddress;
                              MemoryUserOp memory mUserOp = opInfo.mUserOp;
                              uint256 gasPrice = getUserOpGasPrice(mUserOp);
                              address paymaster = mUserOp.paymaster;
                              if (paymaster == address(0)) {
                                  refundAddress = mUserOp.sender;
                              } else {
                                  refundAddress = paymaster;
                                  if (context.length > 0) {
                                      actualGasCost = actualGas * gasPrice;
                                      if (mode != IPaymaster.PostOpMode.postOpReverted) {
                                          IPaymaster(paymaster).postOp{gas : mUserOp.verificationGasLimit}(mode, context, actualGasCost);
                                      } else {
                                          // solhint-disable-next-line no-empty-blocks
                                          try IPaymaster(paymaster).postOp{gas : mUserOp.verificationGasLimit}(mode, context, actualGasCost) {}
                                          catch Error(string memory reason) {
                                              revert FailedOp(opIndex, string.concat("AA50 postOp reverted: ", reason));
                                          }
                                          catch {
                                              revert FailedOp(opIndex, "AA50 postOp revert");
                                          }
                                      }
                                  }
                              }
                              actualGas += preGas - gasleft();
                              actualGasCost = actualGas * gasPrice;
                              if (opInfo.prefund < actualGasCost) {
                                  revert FailedOp(opIndex, "AA51 prefund below actualGasCost");
                              }
                              uint256 refund = opInfo.prefund - actualGasCost;
                              _incrementDeposit(refundAddress, refund);
                              bool success = mode == IPaymaster.PostOpMode.opSucceeded;
                              emit UserOperationEvent(opInfo.userOpHash, mUserOp.sender, mUserOp.paymaster, mUserOp.nonce, success, actualGasCost, actualGas);
                          } // unchecked
                          }
                          /**
                           * the gas price this UserOp agrees to pay.
                           * relayer/block builder might submit the TX with higher priorityFee, but the user should not
                           */
                          function getUserOpGasPrice(MemoryUserOp memory mUserOp) internal view returns (uint256) {
                          unchecked {
                              uint256 maxFeePerGas = mUserOp.maxFeePerGas;
                              uint256 maxPriorityFeePerGas = mUserOp.maxPriorityFeePerGas;
                              if (maxFeePerGas == maxPriorityFeePerGas) {
                                  //legacy mode (for networks that don't support basefee opcode)
                                  return maxFeePerGas;
                              }
                              return min(maxFeePerGas, maxPriorityFeePerGas + block.basefee);
                          }
                          }
                          function min(uint256 a, uint256 b) internal pure returns (uint256) {
                              return a < b ? a : b;
                          }
                          function getOffsetOfMemoryBytes(bytes memory data) internal pure returns (uint256 offset) {
                              assembly {offset := data}
                          }
                          function getMemoryBytesFromOffset(uint256 offset) internal pure returns (bytes memory data) {
                              assembly {data := offset}
                          }
                          //place the NUMBER opcode in the code.
                          // this is used as a marker during simulation, as this OP is completely banned from the simulated code of the
                          // account and paymaster.
                          function numberMarker() internal view {
                              assembly {mstore(0, number())}
                          }
                      }
                      // SPDX-License-Identifier: GPL-3.0
                      pragma solidity ^0.8.12;
                      /* solhint-disable no-inline-assembly */
                      /**
                       * returned data from validateUserOp.
                       * validateUserOp returns a uint256, with is created by `_packedValidationData` and parsed by `_parseValidationData`
                       * @param aggregator - address(0) - the account validated the signature by itself.
                       *              address(1) - the account failed to validate the signature.
                       *              otherwise - this is an address of a signature aggregator that must be used to validate the signature.
                       * @param validAfter - this UserOp is valid only after this timestamp.
                       * @param validaUntil - this UserOp is valid only up to this timestamp.
                       */
                          struct ValidationData {
                              address aggregator;
                              uint48 validAfter;
                              uint48 validUntil;
                          }
                      //extract sigFailed, validAfter, validUntil.
                      // also convert zero validUntil to type(uint48).max
                          function _parseValidationData(uint validationData) pure returns (ValidationData memory data) {
                              address aggregator = address(uint160(validationData));
                              uint48 validUntil = uint48(validationData >> 160);
                              if (validUntil == 0) {
                                  validUntil = type(uint48).max;
                              }
                              uint48 validAfter = uint48(validationData >> (48 + 160));
                              return ValidationData(aggregator, validAfter, validUntil);
                          }
                      // intersect account and paymaster ranges.
                          function _intersectTimeRange(uint256 validationData, uint256 paymasterValidationData) pure returns (ValidationData memory) {
                              ValidationData memory accountValidationData = _parseValidationData(validationData);
                              ValidationData memory pmValidationData = _parseValidationData(paymasterValidationData);
                              address aggregator = accountValidationData.aggregator;
                              if (aggregator == address(0)) {
                                  aggregator = pmValidationData.aggregator;
                              }
                              uint48 validAfter = accountValidationData.validAfter;
                              uint48 validUntil = accountValidationData.validUntil;
                              uint48 pmValidAfter = pmValidationData.validAfter;
                              uint48 pmValidUntil = pmValidationData.validUntil;
                              if (validAfter < pmValidAfter) validAfter = pmValidAfter;
                              if (validUntil > pmValidUntil) validUntil = pmValidUntil;
                              return ValidationData(aggregator, validAfter, validUntil);
                          }
                      /**
                       * helper to pack the return value for validateUserOp
                       * @param data - the ValidationData to pack
                       */
                          function _packValidationData(ValidationData memory data) pure returns (uint256) {
                              return uint160(data.aggregator) | (uint256(data.validUntil) << 160) | (uint256(data.validAfter) << (160 + 48));
                          }
                      /**
                       * helper to pack the return value for validateUserOp, when not using an aggregator
                       * @param sigFailed - true for signature failure, false for success
                       * @param validUntil last timestamp this UserOperation is valid (or zero for infinite)
                       * @param validAfter first timestamp this UserOperation is valid
                       */
                          function _packValidationData(bool sigFailed, uint48 validUntil, uint48 validAfter) pure returns (uint256) {
                              return (sigFailed ? 1 : 0) | (uint256(validUntil) << 160) | (uint256(validAfter) << (160 + 48));
                          }
                      /**
                       * keccak function over calldata.
                       * @dev copy calldata into memory, do keccak and drop allocated memory. Strangely, this is more efficient than letting solidity do it.
                       */
                          function calldataKeccak(bytes calldata data) pure returns (bytes32 ret) {
                              assembly {
                                  let mem := mload(0x40)
                                  let len := data.length
                                  calldatacopy(mem, data.offset, len)
                                  ret := keccak256(mem, len)
                              }
                          }
                      // SPDX-License-Identifier: GPL-3.0
                      pragma solidity ^0.8.12;
                      import "../interfaces/IEntryPoint.sol";
                      /**
                       * nonce management functionality
                       */
                      contract NonceManager is INonceManager {
                          /**
                           * The next valid sequence number for a given nonce key.
                           */
                          mapping(address => mapping(uint192 => uint256)) public nonceSequenceNumber;
                          function getNonce(address sender, uint192 key)
                          public view override returns (uint256 nonce) {
                              return nonceSequenceNumber[sender][key] | (uint256(key) << 64);
                          }
                          // allow an account to manually increment its own nonce.
                          // (mainly so that during construction nonce can be made non-zero,
                          // to "absorb" the gas cost of first nonce increment to 1st transaction (construction),
                          // not to 2nd transaction)
                          function incrementNonce(uint192 key) public override {
                              nonceSequenceNumber[msg.sender][key]++;
                          }
                          /**
                           * validate nonce uniqueness for this account.
                           * called just after validateUserOp()
                           */
                          function _validateAndUpdateNonce(address sender, uint256 nonce) internal returns (bool) {
                              uint192 key = uint192(nonce >> 64);
                              uint64 seq = uint64(nonce);
                              return nonceSequenceNumber[sender][key]++ == seq;
                          }
                      }
                      // SPDX-License-Identifier: GPL-3.0
                      pragma solidity ^0.8.12;
                      /**
                       * helper contract for EntryPoint, to call userOp.initCode from a "neutral" address,
                       * which is explicitly not the entryPoint itself.
                       */
                      contract SenderCreator {
                          /**
                           * call the "initCode" factory to create and return the sender account address
                           * @param initCode the initCode value from a UserOp. contains 20 bytes of factory address, followed by calldata
                           * @return sender the returned address of the created account, or zero address on failure.
                           */
                          function createSender(bytes calldata initCode) external returns (address sender) {
                              address factory = address(bytes20(initCode[0 : 20]));
                              bytes memory initCallData = initCode[20 :];
                              bool success;
                              /* solhint-disable no-inline-assembly */
                              assembly {
                                  success := call(gas(), factory, 0, add(initCallData, 0x20), mload(initCallData), 0, 32)
                                  sender := mload(0)
                              }
                              if (!success) {
                                  sender = address(0);
                              }
                          }
                      }
                      // SPDX-License-Identifier: GPL-3.0-only
                      pragma solidity ^0.8.12;
                      import "../interfaces/IStakeManager.sol";
                      /* solhint-disable avoid-low-level-calls */
                      /* solhint-disable not-rely-on-time */
                      /**
                       * manage deposits and stakes.
                       * deposit is just a balance used to pay for UserOperations (either by a paymaster or an account)
                       * stake is value locked for at least "unstakeDelay" by a paymaster.
                       */
                      abstract contract StakeManager is IStakeManager {
                          /// maps paymaster to their deposits and stakes
                          mapping(address => DepositInfo) public deposits;
                          /// @inheritdoc IStakeManager
                          function getDepositInfo(address account) public view returns (DepositInfo memory info) {
                              return deposits[account];
                          }
                          // internal method to return just the stake info
                          function _getStakeInfo(address addr) internal view returns (StakeInfo memory info) {
                              DepositInfo storage depositInfo = deposits[addr];
                              info.stake = depositInfo.stake;
                              info.unstakeDelaySec = depositInfo.unstakeDelaySec;
                          }
                          /// return the deposit (for gas payment) of the account
                          function balanceOf(address account) public view returns (uint256) {
                              return deposits[account].deposit;
                          }
                          receive() external payable {
                              depositTo(msg.sender);
                          }
                          function _incrementDeposit(address account, uint256 amount) internal {
                              DepositInfo storage info = deposits[account];
                              uint256 newAmount = info.deposit + amount;
                              require(newAmount <= type(uint112).max, "deposit overflow");
                              info.deposit = uint112(newAmount);
                          }
                          /**
                           * add to the deposit of the given account
                           */
                          function depositTo(address account) public payable {
                              _incrementDeposit(account, msg.value);
                              DepositInfo storage info = deposits[account];
                              emit Deposited(account, info.deposit);
                          }
                          /**
                           * add to the account's stake - amount and delay
                           * any pending unstake is first cancelled.
                           * @param unstakeDelaySec the new lock duration before the deposit can be withdrawn.
                           */
                          function addStake(uint32 unstakeDelaySec) public payable {
                              DepositInfo storage info = deposits[msg.sender];
                              require(unstakeDelaySec > 0, "must specify unstake delay");
                              require(unstakeDelaySec >= info.unstakeDelaySec, "cannot decrease unstake time");
                              uint256 stake = info.stake + msg.value;
                              require(stake > 0, "no stake specified");
                              require(stake <= type(uint112).max, "stake overflow");
                              deposits[msg.sender] = DepositInfo(
                                  info.deposit,
                                  true,
                                  uint112(stake),
                                  unstakeDelaySec,
                                  0
                              );
                              emit StakeLocked(msg.sender, stake, unstakeDelaySec);
                          }
                          /**
                           * attempt to unlock the stake.
                           * the value can be withdrawn (using withdrawStake) after the unstake delay.
                           */
                          function unlockStake() external {
                              DepositInfo storage info = deposits[msg.sender];
                              require(info.unstakeDelaySec != 0, "not staked");
                              require(info.staked, "already unstaking");
                              uint48 withdrawTime = uint48(block.timestamp) + info.unstakeDelaySec;
                              info.withdrawTime = withdrawTime;
                              info.staked = false;
                              emit StakeUnlocked(msg.sender, withdrawTime);
                          }
                          /**
                           * withdraw from the (unlocked) stake.
                           * must first call unlockStake and wait for the unstakeDelay to pass
                           * @param withdrawAddress the address to send withdrawn value.
                           */
                          function withdrawStake(address payable withdrawAddress) external {
                              DepositInfo storage info = deposits[msg.sender];
                              uint256 stake = info.stake;
                              require(stake > 0, "No stake to withdraw");
                              require(info.withdrawTime > 0, "must call unlockStake() first");
                              require(info.withdrawTime <= block.timestamp, "Stake withdrawal is not due");
                              info.unstakeDelaySec = 0;
                              info.withdrawTime = 0;
                              info.stake = 0;
                              emit StakeWithdrawn(msg.sender, withdrawAddress, stake);
                              (bool success,) = withdrawAddress.call{value : stake}("");
                              require(success, "failed to withdraw stake");
                          }
                          /**
                           * withdraw from the deposit.
                           * @param withdrawAddress the address to send withdrawn value.
                           * @param withdrawAmount the amount to withdraw.
                           */
                          function withdrawTo(address payable withdrawAddress, uint256 withdrawAmount) external {
                              DepositInfo storage info = deposits[msg.sender];
                              require(withdrawAmount <= info.deposit, "Withdraw amount too large");
                              info.deposit = uint112(info.deposit - withdrawAmount);
                              emit Withdrawn(msg.sender, withdrawAddress, withdrawAmount);
                              (bool success,) = withdrawAddress.call{value : withdrawAmount}("");
                              require(success, "failed to withdraw");
                          }
                      }
                      // SPDX-License-Identifier: GPL-3.0
                      pragma solidity ^0.8.12;
                      import "./UserOperation.sol";
                      interface IAccount {
                          /**
                           * Validate user's signature and nonce
                           * the entryPoint will make the call to the recipient only if this validation call returns successfully.
                           * signature failure should be reported by returning SIG_VALIDATION_FAILED (1).
                           * This allows making a "simulation call" without a valid signature
                           * Other failures (e.g. nonce mismatch, or invalid signature format) should still revert to signal failure.
                           *
                           * @dev Must validate caller is the entryPoint.
                           *      Must validate the signature and nonce
                           * @param userOp the operation that is about to be executed.
                           * @param userOpHash hash of the user's request data. can be used as the basis for signature.
                           * @param missingAccountFunds missing funds on the account's deposit in the entrypoint.
                           *      This is the minimum amount to transfer to the sender(entryPoint) to be able to make the call.
                           *      The excess is left as a deposit in the entrypoint, for future calls.
                           *      can be withdrawn anytime using "entryPoint.withdrawTo()"
                           *      In case there is a paymaster in the request (or the current deposit is high enough), this value will be zero.
                           * @return validationData packaged ValidationData structure. use `_packValidationData` and `_unpackValidationData` to encode and decode
                           *      <20-byte> sigAuthorizer - 0 for valid signature, 1 to mark signature failure,
                           *         otherwise, an address of an "authorizer" contract.
                           *      <6-byte> validUntil - last timestamp this operation is valid. 0 for "indefinite"
                           *      <6-byte> validAfter - first timestamp this operation is valid
                           *      If an account doesn't use time-range, it is enough to return SIG_VALIDATION_FAILED value (1) for signature failure.
                           *      Note that the validation code cannot use block.timestamp (or block.number) directly.
                           */
                          function validateUserOp(UserOperation calldata userOp, bytes32 userOpHash, uint256 missingAccountFunds)
                          external returns (uint256 validationData);
                      }
                      // SPDX-License-Identifier: GPL-3.0
                      pragma solidity ^0.8.12;
                      import "./UserOperation.sol";
                      /**
                       * Aggregated Signatures validator.
                       */
                      interface IAggregator {
                          /**
                           * validate aggregated signature.
                           * revert if the aggregated signature does not match the given list of operations.
                           */
                          function validateSignatures(UserOperation[] calldata userOps, bytes calldata signature) external view;
                          /**
                           * validate signature of a single userOp
                           * This method is should be called by bundler after EntryPoint.simulateValidation() returns (reverts) with ValidationResultWithAggregation
                           * First it validates the signature over the userOp. Then it returns data to be used when creating the handleOps.
                           * @param userOp the userOperation received from the user.
                           * @return sigForUserOp the value to put into the signature field of the userOp when calling handleOps.
                           *    (usually empty, unless account and aggregator support some kind of "multisig"
                           */
                          function validateUserOpSignature(UserOperation calldata userOp)
                          external view returns (bytes memory sigForUserOp);
                          /**
                           * aggregate multiple signatures into a single value.
                           * This method is called off-chain to calculate the signature to pass with handleOps()
                           * bundler MAY use optimized custom code perform this aggregation
                           * @param userOps array of UserOperations to collect the signatures from.
                           * @return aggregatedSignature the aggregated signature
                           */
                          function aggregateSignatures(UserOperation[] calldata userOps) external view returns (bytes memory aggregatedSignature);
                      }
                      /**
                       ** Account-Abstraction (EIP-4337) singleton EntryPoint implementation.
                       ** Only one instance required on each chain.
                       **/
                      // SPDX-License-Identifier: GPL-3.0
                      pragma solidity ^0.8.12;
                      /* solhint-disable avoid-low-level-calls */
                      /* solhint-disable no-inline-assembly */
                      /* solhint-disable reason-string */
                      import "./UserOperation.sol";
                      import "./IStakeManager.sol";
                      import "./IAggregator.sol";
                      import "./INonceManager.sol";
                      interface IEntryPoint is IStakeManager, INonceManager {
                          /***
                           * An event emitted after each successful request
                           * @param userOpHash - unique identifier for the request (hash its entire content, except signature).
                           * @param sender - the account that generates this request.
                           * @param paymaster - if non-null, the paymaster that pays for this request.
                           * @param nonce - the nonce value from the request.
                           * @param success - true if the sender transaction succeeded, false if reverted.
                           * @param actualGasCost - actual amount paid (by account or paymaster) for this UserOperation.
                           * @param actualGasUsed - total gas used by this UserOperation (including preVerification, creation, validation and execution).
                           */
                          event UserOperationEvent(bytes32 indexed userOpHash, address indexed sender, address indexed paymaster, uint256 nonce, bool success, uint256 actualGasCost, uint256 actualGasUsed);
                          /**
                           * account "sender" was deployed.
                           * @param userOpHash the userOp that deployed this account. UserOperationEvent will follow.
                           * @param sender the account that is deployed
                           * @param factory the factory used to deploy this account (in the initCode)
                           * @param paymaster the paymaster used by this UserOp
                           */
                          event AccountDeployed(bytes32 indexed userOpHash, address indexed sender, address factory, address paymaster);
                          /**
                           * An event emitted if the UserOperation "callData" reverted with non-zero length
                           * @param userOpHash the request unique identifier.
                           * @param sender the sender of this request
                           * @param nonce the nonce used in the request
                           * @param revertReason - the return bytes from the (reverted) call to "callData".
                           */
                          event UserOperationRevertReason(bytes32 indexed userOpHash, address indexed sender, uint256 nonce, bytes revertReason);
                          /**
                           * an event emitted by handleOps(), before starting the execution loop.
                           * any event emitted before this event, is part of the validation.
                           */
                          event BeforeExecution();
                          /**
                           * signature aggregator used by the following UserOperationEvents within this bundle.
                           */
                          event SignatureAggregatorChanged(address indexed aggregator);
                          /**
                           * a custom revert error of handleOps, to identify the offending op.
                           *  NOTE: if simulateValidation passes successfully, there should be no reason for handleOps to fail on it.
                           *  @param opIndex - index into the array of ops to the failed one (in simulateValidation, this is always zero)
                           *  @param reason - revert reason
                           *      The string starts with a unique code "AAmn", where "m" is "1" for factory, "2" for account and "3" for paymaster issues,
                           *      so a failure can be attributed to the correct entity.
                           *   Should be caught in off-chain handleOps simulation and not happen on-chain.
                           *   Useful for mitigating DoS attempts against batchers or for troubleshooting of factory/account/paymaster reverts.
                           */
                          error FailedOp(uint256 opIndex, string reason);
                          /**
                           * error case when a signature aggregator fails to verify the aggregated signature it had created.
                           */
                          error SignatureValidationFailed(address aggregator);
                          /**
                           * Successful result from simulateValidation.
                           * @param returnInfo gas and time-range returned values
                           * @param senderInfo stake information about the sender
                           * @param factoryInfo stake information about the factory (if any)
                           * @param paymasterInfo stake information about the paymaster (if any)
                           */
                          error ValidationResult(ReturnInfo returnInfo,
                              StakeInfo senderInfo, StakeInfo factoryInfo, StakeInfo paymasterInfo);
                          /**
                           * Successful result from simulateValidation, if the account returns a signature aggregator
                           * @param returnInfo gas and time-range returned values
                           * @param senderInfo stake information about the sender
                           * @param factoryInfo stake information about the factory (if any)
                           * @param paymasterInfo stake information about the paymaster (if any)
                           * @param aggregatorInfo signature aggregation info (if the account requires signature aggregator)
                           *      bundler MUST use it to verify the signature, or reject the UserOperation
                           */
                          error ValidationResultWithAggregation(ReturnInfo returnInfo,
                              StakeInfo senderInfo, StakeInfo factoryInfo, StakeInfo paymasterInfo,
                              AggregatorStakeInfo aggregatorInfo);
                          /**
                           * return value of getSenderAddress
                           */
                          error SenderAddressResult(address sender);
                          /**
                           * return value of simulateHandleOp
                           */
                          error ExecutionResult(uint256 preOpGas, uint256 paid, uint48 validAfter, uint48 validUntil, bool targetSuccess, bytes targetResult);
                          //UserOps handled, per aggregator
                          struct UserOpsPerAggregator {
                              UserOperation[] userOps;
                              // aggregator address
                              IAggregator aggregator;
                              // aggregated signature
                              bytes signature;
                          }
                          /**
                           * Execute a batch of UserOperation.
                           * no signature aggregator is used.
                           * if any account requires an aggregator (that is, it returned an aggregator when
                           * performing simulateValidation), then handleAggregatedOps() must be used instead.
                           * @param ops the operations to execute
                           * @param beneficiary the address to receive the fees
                           */
                          function handleOps(UserOperation[] calldata ops, address payable beneficiary) external;
                          /**
                           * Execute a batch of UserOperation with Aggregators
                           * @param opsPerAggregator the operations to execute, grouped by aggregator (or address(0) for no-aggregator accounts)
                           * @param beneficiary the address to receive the fees
                           */
                          function handleAggregatedOps(
                              UserOpsPerAggregator[] calldata opsPerAggregator,
                              address payable beneficiary
                          ) external;
                          /**
                           * generate a request Id - unique identifier for this request.
                           * the request ID is a hash over the content of the userOp (except the signature), the entrypoint and the chainid.
                           */
                          function getUserOpHash(UserOperation calldata userOp) external view returns (bytes32);
                          /**
                           * Simulate a call to account.validateUserOp and paymaster.validatePaymasterUserOp.
                           * @dev this method always revert. Successful result is ValidationResult error. other errors are failures.
                           * @dev The node must also verify it doesn't use banned opcodes, and that it doesn't reference storage outside the account's data.
                           * @param userOp the user operation to validate.
                           */
                          function simulateValidation(UserOperation calldata userOp) external;
                          /**
                           * gas and return values during simulation
                           * @param preOpGas the gas used for validation (including preValidationGas)
                           * @param prefund the required prefund for this operation
                           * @param sigFailed validateUserOp's (or paymaster's) signature check failed
                           * @param validAfter - first timestamp this UserOp is valid (merging account and paymaster time-range)
                           * @param validUntil - last timestamp this UserOp is valid (merging account and paymaster time-range)
                           * @param paymasterContext returned by validatePaymasterUserOp (to be passed into postOp)
                           */
                          struct ReturnInfo {
                              uint256 preOpGas;
                              uint256 prefund;
                              bool sigFailed;
                              uint48 validAfter;
                              uint48 validUntil;
                              bytes paymasterContext;
                          }
                          /**
                           * returned aggregated signature info.
                           * the aggregator returned by the account, and its current stake.
                           */
                          struct AggregatorStakeInfo {
                              address aggregator;
                              StakeInfo stakeInfo;
                          }
                          /**
                           * Get counterfactual sender address.
                           *  Calculate the sender contract address that will be generated by the initCode and salt in the UserOperation.
                           * this method always revert, and returns the address in SenderAddressResult error
                           * @param initCode the constructor code to be passed into the UserOperation.
                           */
                          function getSenderAddress(bytes memory initCode) external;
                          /**
                           * simulate full execution of a UserOperation (including both validation and target execution)
                           * this method will always revert with "ExecutionResult".
                           * it performs full validation of the UserOperation, but ignores signature error.
                           * an optional target address is called after the userop succeeds, and its value is returned
                           * (before the entire call is reverted)
                           * Note that in order to collect the the success/failure of the target call, it must be executed
                           * with trace enabled to track the emitted events.
                           * @param op the UserOperation to simulate
                           * @param target if nonzero, a target address to call after userop simulation. If called, the targetSuccess and targetResult
                           *        are set to the return from that call.
                           * @param targetCallData callData to pass to target address
                           */
                          function simulateHandleOp(UserOperation calldata op, address target, bytes calldata targetCallData) external;
                      }
                      // SPDX-License-Identifier: GPL-3.0
                      pragma solidity ^0.8.12;
                      interface INonceManager {
                          /**
                           * Return the next nonce for this sender.
                           * Within a given key, the nonce values are sequenced (starting with zero, and incremented by one on each userop)
                           * But UserOp with different keys can come with arbitrary order.
                           *
                           * @param sender the account address
                           * @param key the high 192 bit of the nonce
                           * @return nonce a full nonce to pass for next UserOp with this sender.
                           */
                          function getNonce(address sender, uint192 key)
                          external view returns (uint256 nonce);
                          /**
                           * Manually increment the nonce of the sender.
                           * This method is exposed just for completeness..
                           * Account does NOT need to call it, neither during validation, nor elsewhere,
                           * as the EntryPoint will update the nonce regardless.
                           * Possible use-case is call it with various keys to "initialize" their nonces to one, so that future
                           * UserOperations will not pay extra for the first transaction with a given key.
                           */
                          function incrementNonce(uint192 key) external;
                      }
                      // SPDX-License-Identifier: GPL-3.0
                      pragma solidity ^0.8.12;
                      import "./UserOperation.sol";
                      /**
                       * the interface exposed by a paymaster contract, who agrees to pay the gas for user's operations.
                       * a paymaster must hold a stake to cover the required entrypoint stake and also the gas for the transaction.
                       */
                      interface IPaymaster {
                          enum PostOpMode {
                              opSucceeded, // user op succeeded
                              opReverted, // user op reverted. still has to pay for gas.
                              postOpReverted //user op succeeded, but caused postOp to revert. Now it's a 2nd call, after user's op was deliberately reverted.
                          }
                          /**
                           * payment validation: check if paymaster agrees to pay.
                           * Must verify sender is the entryPoint.
                           * Revert to reject this request.
                           * Note that bundlers will reject this method if it changes the state, unless the paymaster is trusted (whitelisted)
                           * The paymaster pre-pays using its deposit, and receive back a refund after the postOp method returns.
                           * @param userOp the user operation
                           * @param userOpHash hash of the user's request data.
                           * @param maxCost the maximum cost of this transaction (based on maximum gas and gas price from userOp)
                           * @return context value to send to a postOp
                           *      zero length to signify postOp is not required.
                           * @return validationData signature and time-range of this operation, encoded the same as the return value of validateUserOperation
                           *      <20-byte> sigAuthorizer - 0 for valid signature, 1 to mark signature failure,
                           *         otherwise, an address of an "authorizer" contract.
                           *      <6-byte> validUntil - last timestamp this operation is valid. 0 for "indefinite"
                           *      <6-byte> validAfter - first timestamp this operation is valid
                           *      Note that the validation code cannot use block.timestamp (or block.number) directly.
                           */
                          function validatePaymasterUserOp(UserOperation calldata userOp, bytes32 userOpHash, uint256 maxCost)
                          external returns (bytes memory context, uint256 validationData);
                          /**
                           * post-operation handler.
                           * Must verify sender is the entryPoint
                           * @param mode enum with the following options:
                           *      opSucceeded - user operation succeeded.
                           *      opReverted  - user op reverted. still has to pay for gas.
                           *      postOpReverted - user op succeeded, but caused postOp (in mode=opSucceeded) to revert.
                           *                       Now this is the 2nd call, after user's op was deliberately reverted.
                           * @param context - the context value returned by validatePaymasterUserOp
                           * @param actualGasCost - actual gas used so far (without this postOp call).
                           */
                          function postOp(PostOpMode mode, bytes calldata context, uint256 actualGasCost) external;
                      }
                      // SPDX-License-Identifier: GPL-3.0-only
                      pragma solidity ^0.8.12;
                      /**
                       * manage deposits and stakes.
                       * deposit is just a balance used to pay for UserOperations (either by a paymaster or an account)
                       * stake is value locked for at least "unstakeDelay" by the staked entity.
                       */
                      interface IStakeManager {
                          event Deposited(
                              address indexed account,
                              uint256 totalDeposit
                          );
                          event Withdrawn(
                              address indexed account,
                              address withdrawAddress,
                              uint256 amount
                          );
                          /// Emitted when stake or unstake delay are modified
                          event StakeLocked(
                              address indexed account,
                              uint256 totalStaked,
                              uint256 unstakeDelaySec
                          );
                          /// Emitted once a stake is scheduled for withdrawal
                          event StakeUnlocked(
                              address indexed account,
                              uint256 withdrawTime
                          );
                          event StakeWithdrawn(
                              address indexed account,
                              address withdrawAddress,
                              uint256 amount
                          );
                          /**
                           * @param deposit the entity's deposit
                           * @param staked true if this entity is staked.
                           * @param stake actual amount of ether staked for this entity.
                           * @param unstakeDelaySec minimum delay to withdraw the stake.
                           * @param withdrawTime - first block timestamp where 'withdrawStake' will be callable, or zero if already locked
                           * @dev sizes were chosen so that (deposit,staked, stake) fit into one cell (used during handleOps)
                           *    and the rest fit into a 2nd cell.
                           *    112 bit allows for 10^15 eth
                           *    48 bit for full timestamp
                           *    32 bit allows 150 years for unstake delay
                           */
                          struct DepositInfo {
                              uint112 deposit;
                              bool staked;
                              uint112 stake;
                              uint32 unstakeDelaySec;
                              uint48 withdrawTime;
                          }
                          //API struct used by getStakeInfo and simulateValidation
                          struct StakeInfo {
                              uint256 stake;
                              uint256 unstakeDelaySec;
                          }
                          /// @return info - full deposit information of given account
                          function getDepositInfo(address account) external view returns (DepositInfo memory info);
                          /// @return the deposit (for gas payment) of the account
                          function balanceOf(address account) external view returns (uint256);
                          /**
                           * add to the deposit of the given account
                           */
                          function depositTo(address account) external payable;
                          /**
                           * add to the account's stake - amount and delay
                           * any pending unstake is first cancelled.
                           * @param _unstakeDelaySec the new lock duration before the deposit can be withdrawn.
                           */
                          function addStake(uint32 _unstakeDelaySec) external payable;
                          /**
                           * attempt to unlock the stake.
                           * the value can be withdrawn (using withdrawStake) after the unstake delay.
                           */
                          function unlockStake() external;
                          /**
                           * withdraw from the (unlocked) stake.
                           * must first call unlockStake and wait for the unstakeDelay to pass
                           * @param withdrawAddress the address to send withdrawn value.
                           */
                          function withdrawStake(address payable withdrawAddress) external;
                          /**
                           * withdraw from the deposit.
                           * @param withdrawAddress the address to send withdrawn value.
                           * @param withdrawAmount the amount to withdraw.
                           */
                          function withdrawTo(address payable withdrawAddress, uint256 withdrawAmount) external;
                      }
                      // SPDX-License-Identifier: GPL-3.0
                      pragma solidity ^0.8.12;
                      /* solhint-disable no-inline-assembly */
                      import {calldataKeccak} from "../core/Helpers.sol";
                      /**
                       * User Operation struct
                       * @param sender the sender account of this request.
                           * @param nonce unique value the sender uses to verify it is not a replay.
                           * @param initCode if set, the account contract will be created by this constructor/
                           * @param callData the method call to execute on this account.
                           * @param callGasLimit the gas limit passed to the callData method call.
                           * @param verificationGasLimit gas used for validateUserOp and validatePaymasterUserOp.
                           * @param preVerificationGas gas not calculated by the handleOps method, but added to the gas paid. Covers batch overhead.
                           * @param maxFeePerGas same as EIP-1559 gas parameter.
                           * @param maxPriorityFeePerGas same as EIP-1559 gas parameter.
                           * @param paymasterAndData if set, this field holds the paymaster address and paymaster-specific data. the paymaster will pay for the transaction instead of the sender.
                           * @param signature sender-verified signature over the entire request, the EntryPoint address and the chain ID.
                           */
                          struct UserOperation {
                              address sender;
                              uint256 nonce;
                              bytes initCode;
                              bytes callData;
                              uint256 callGasLimit;
                              uint256 verificationGasLimit;
                              uint256 preVerificationGas;
                              uint256 maxFeePerGas;
                              uint256 maxPriorityFeePerGas;
                              bytes paymasterAndData;
                              bytes signature;
                          }
                      /**
                       * Utility functions helpful when working with UserOperation structs.
                       */
                      library UserOperationLib {
                          function getSender(UserOperation calldata userOp) internal pure returns (address) {
                              address data;
                              //read sender from userOp, which is first userOp member (saves 800 gas...)
                              assembly {data := calldataload(userOp)}
                              return address(uint160(data));
                          }
                          //relayer/block builder might submit the TX with higher priorityFee, but the user should not
                          // pay above what he signed for.
                          function gasPrice(UserOperation calldata userOp) internal view returns (uint256) {
                          unchecked {
                              uint256 maxFeePerGas = userOp.maxFeePerGas;
                              uint256 maxPriorityFeePerGas = userOp.maxPriorityFeePerGas;
                              if (maxFeePerGas == maxPriorityFeePerGas) {
                                  //legacy mode (for networks that don't support basefee opcode)
                                  return maxFeePerGas;
                              }
                              return min(maxFeePerGas, maxPriorityFeePerGas + block.basefee);
                          }
                          }
                          function pack(UserOperation calldata userOp) internal pure returns (bytes memory ret) {
                              address sender = getSender(userOp);
                              uint256 nonce = userOp.nonce;
                              bytes32 hashInitCode = calldataKeccak(userOp.initCode);
                              bytes32 hashCallData = calldataKeccak(userOp.callData);
                              uint256 callGasLimit = userOp.callGasLimit;
                              uint256 verificationGasLimit = userOp.verificationGasLimit;
                              uint256 preVerificationGas = userOp.preVerificationGas;
                              uint256 maxFeePerGas = userOp.maxFeePerGas;
                              uint256 maxPriorityFeePerGas = userOp.maxPriorityFeePerGas;
                              bytes32 hashPaymasterAndData = calldataKeccak(userOp.paymasterAndData);
                              return abi.encode(
                                  sender, nonce,
                                  hashInitCode, hashCallData,
                                  callGasLimit, verificationGasLimit, preVerificationGas,
                                  maxFeePerGas, maxPriorityFeePerGas,
                                  hashPaymasterAndData
                              );
                          }
                          function hash(UserOperation calldata userOp) internal pure returns (bytes32) {
                              return keccak256(pack(userOp));
                          }
                          function min(uint256 a, uint256 b) internal pure returns (uint256) {
                              return a < b ? a : b;
                          }
                      }
                      // SPDX-License-Identifier: LGPL-3.0-only
                      pragma solidity >=0.7.5 <0.9.0;
                      // solhint-disable no-inline-assembly
                      /**
                       * Utility functions helpful when making different kinds of contract calls in Solidity.
                       */
                      library Exec {
                          function call(
                              address to,
                              uint256 value,
                              bytes memory data,
                              uint256 txGas
                          ) internal returns (bool success) {
                              assembly {
                                  success := call(txGas, to, value, add(data, 0x20), mload(data), 0, 0)
                              }
                          }
                          function staticcall(
                              address to,
                              bytes memory data,
                              uint256 txGas
                          ) internal view returns (bool success) {
                              assembly {
                                  success := staticcall(txGas, to, add(data, 0x20), mload(data), 0, 0)
                              }
                          }
                          function delegateCall(
                              address to,
                              bytes memory data,
                              uint256 txGas
                          ) internal returns (bool success) {
                              assembly {
                                  success := delegatecall(txGas, to, add(data, 0x20), mload(data), 0, 0)
                              }
                          }
                          // get returned data from last call or calldelegate
                          function getReturnData(uint256 maxLen) internal pure returns (bytes memory returnData) {
                              assembly {
                                  let len := returndatasize()
                                  if gt(len, maxLen) {
                                      len := maxLen
                                  }
                                  let ptr := mload(0x40)
                                  mstore(0x40, add(ptr, add(len, 0x20)))
                                  mstore(ptr, len)
                                  returndatacopy(add(ptr, 0x20), 0, len)
                                  returnData := ptr
                              }
                          }
                          // revert with explicit byte array (probably reverted info from call)
                          function revertWithData(bytes memory returnData) internal pure {
                              assembly {
                                  revert(add(returnData, 32), mload(returnData))
                              }
                          }
                          function callAndRevert(address to, bytes memory data, uint256 maxLen) internal {
                              bool success = call(to,0,data,gasleft());
                              if (!success) {
                                  revertWithData(getReturnData(maxLen));
                              }
                          }
                      }
                      

                      File 2 of 4: Renzo
                      // SPDX-License-Identifier: MIT
                      // Compatible with OpenZeppelin Contracts ^5.0.0
                      pragma solidity ^0.8.20;
                      import "@openzeppelin/contracts@5.0.2/token/ERC20/ERC20.sol";
                      import "@openzeppelin/contracts@5.0.2/token/ERC20/extensions/ERC20Permit.sol";
                      import "@openzeppelin/contracts@5.0.2/token/ERC20/extensions/ERC20Votes.sol";
                      contract Renzo is ERC20, ERC20Permit, ERC20Votes {
                          constructor() ERC20("Renzo", "REZ") ERC20Permit("Renzo") {
                              _mint(0xc1d9178C600B15151Ec366C008993a87C1216C38, 10_000_000_000 * 10 ** decimals());
                          }
                          // The following functions are overrides required by Solidity.
                          function _update(address from, address to, uint256 value)
                              internal
                              override(ERC20, ERC20Votes)
                          {
                              super._update(from, to, value);
                          }
                          function nonces(address owner)
                              public
                              view
                              override(ERC20Permit, Nonces)
                              returns (uint256)
                          {
                              return super.nonces(owner);
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (token/ERC20/extensions/ERC20Votes.sol)
                      pragma solidity ^0.8.20;
                      import {ERC20} from "../ERC20.sol";
                      import {Votes} from "../../../governance/utils/Votes.sol";
                      import {Checkpoints} from "../../../utils/structs/Checkpoints.sol";
                      /**
                       * @dev Extension of ERC20 to support Compound-like voting and delegation. This version is more generic than Compound's,
                       * and supports token supply up to 2^208^ - 1, while COMP is limited to 2^96^ - 1.
                       *
                       * NOTE: This contract does not provide interface compatibility with Compound's COMP token.
                       *
                       * This extension keeps a history (checkpoints) of each account's vote power. Vote power can be delegated either
                       * by calling the {delegate} function directly, or by providing a signature to be used with {delegateBySig}. Voting
                       * power can be queried through the public accessors {getVotes} and {getPastVotes}.
                       *
                       * By default, token balance does not account for voting power. This makes transfers cheaper. The downside is that it
                       * requires users to delegate to themselves in order to activate checkpoints and have their voting power tracked.
                       */
                      abstract contract ERC20Votes is ERC20, Votes {
                          /**
                           * @dev Total supply cap has been exceeded, introducing a risk of votes overflowing.
                           */
                          error ERC20ExceededSafeSupply(uint256 increasedSupply, uint256 cap);
                          /**
                           * @dev Maximum token supply. Defaults to `type(uint208).max` (2^208^ - 1).
                           *
                           * This maximum is enforced in {_update}. It limits the total supply of the token, which is otherwise a uint256,
                           * so that checkpoints can be stored in the Trace208 structure used by {{Votes}}. Increasing this value will not
                           * remove the underlying limitation, and will cause {_update} to fail because of a math overflow in
                           * {_transferVotingUnits}. An override could be used to further restrict the total supply (to a lower value) if
                           * additional logic requires it. When resolving override conflicts on this function, the minimum should be
                           * returned.
                           */
                          function _maxSupply() internal view virtual returns (uint256) {
                              return type(uint208).max;
                          }
                          /**
                           * @dev Move voting power when tokens are transferred.
                           *
                           * Emits a {IVotes-DelegateVotesChanged} event.
                           */
                          function _update(address from, address to, uint256 value) internal virtual override {
                              super._update(from, to, value);
                              if (from == address(0)) {
                                  uint256 supply = totalSupply();
                                  uint256 cap = _maxSupply();
                                  if (supply > cap) {
                                      revert ERC20ExceededSafeSupply(supply, cap);
                                  }
                              }
                              _transferVotingUnits(from, to, value);
                          }
                          /**
                           * @dev Returns the voting units of an `account`.
                           *
                           * WARNING: Overriding this function may compromise the internal vote accounting.
                           * `ERC20Votes` assumes tokens map to voting units 1:1 and this is not easy to change.
                           */
                          function _getVotingUnits(address account) internal view virtual override returns (uint256) {
                              return balanceOf(account);
                          }
                          /**
                           * @dev Get number of checkpoints for `account`.
                           */
                          function numCheckpoints(address account) public view virtual returns (uint32) {
                              return _numCheckpoints(account);
                          }
                          /**
                           * @dev Get the `pos`-th checkpoint for `account`.
                           */
                          function checkpoints(address account, uint32 pos) public view virtual returns (Checkpoints.Checkpoint208 memory) {
                              return _checkpoints(account, pos);
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (token/ERC20/extensions/ERC20Permit.sol)
                      pragma solidity ^0.8.20;
                      import {IERC20Permit} from "./IERC20Permit.sol";
                      import {ERC20} from "../ERC20.sol";
                      import {ECDSA} from "../../../utils/cryptography/ECDSA.sol";
                      import {EIP712} from "../../../utils/cryptography/EIP712.sol";
                      import {Nonces} from "../../../utils/Nonces.sol";
                      /**
                       * @dev Implementation of the ERC20 Permit extension allowing approvals to be made via signatures, as defined in
                       * https://eips.ethereum.org/EIPS/eip-2612[EIP-2612].
                       *
                       * Adds the {permit} method, which can be used to change an account's ERC20 allowance (see {IERC20-allowance}) by
                       * presenting a message signed by the account. By not relying on `{IERC20-approve}`, the token holder account doesn't
                       * need to send a transaction, and thus is not required to hold Ether at all.
                       */
                      abstract contract ERC20Permit is ERC20, IERC20Permit, EIP712, Nonces {
                          bytes32 private constant PERMIT_TYPEHASH =
                              keccak256("Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)");
                          /**
                           * @dev Permit deadline has expired.
                           */
                          error ERC2612ExpiredSignature(uint256 deadline);
                          /**
                           * @dev Mismatched signature.
                           */
                          error ERC2612InvalidSigner(address signer, address owner);
                          /**
                           * @dev Initializes the {EIP712} domain separator using the `name` parameter, and setting `version` to `"1"`.
                           *
                           * It's a good idea to use the same `name` that is defined as the ERC20 token name.
                           */
                          constructor(string memory name) EIP712(name, "1") {}
                          /**
                           * @inheritdoc IERC20Permit
                           */
                          function permit(
                              address owner,
                              address spender,
                              uint256 value,
                              uint256 deadline,
                              uint8 v,
                              bytes32 r,
                              bytes32 s
                          ) public virtual {
                              if (block.timestamp > deadline) {
                                  revert ERC2612ExpiredSignature(deadline);
                              }
                              bytes32 structHash = keccak256(abi.encode(PERMIT_TYPEHASH, owner, spender, value, _useNonce(owner), deadline));
                              bytes32 hash = _hashTypedDataV4(structHash);
                              address signer = ECDSA.recover(hash, v, r, s);
                              if (signer != owner) {
                                  revert ERC2612InvalidSigner(signer, owner);
                              }
                              _approve(owner, spender, value);
                          }
                          /**
                           * @inheritdoc IERC20Permit
                           */
                          function nonces(address owner) public view virtual override(IERC20Permit, Nonces) returns (uint256) {
                              return super.nonces(owner);
                          }
                          /**
                           * @inheritdoc IERC20Permit
                           */
                          // solhint-disable-next-line func-name-mixedcase
                          function DOMAIN_SEPARATOR() external view virtual returns (bytes32) {
                              return _domainSeparatorV4();
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (token/ERC20/ERC20.sol)
                      pragma solidity ^0.8.20;
                      import {IERC20} from "./IERC20.sol";
                      import {IERC20Metadata} from "./extensions/IERC20Metadata.sol";
                      import {Context} from "../../utils/Context.sol";
                      import {IERC20Errors} from "../../interfaces/draft-IERC6093.sol";
                      /**
                       * @dev Implementation of the {IERC20} interface.
                       *
                       * This implementation is agnostic to the way tokens are created. This means
                       * that a supply mechanism has to be added in a derived contract using {_mint}.
                       *
                       * TIP: For a detailed writeup see our guide
                       * https://forum.openzeppelin.com/t/how-to-implement-erc20-supply-mechanisms/226[How
                       * to implement supply mechanisms].
                       *
                       * The default value of {decimals} is 18. To change this, you should override
                       * this function so it returns a different value.
                       *
                       * We have followed general OpenZeppelin Contracts guidelines: functions revert
                       * instead returning `false` on failure. This behavior is nonetheless
                       * conventional and does not conflict with the expectations of ERC20
                       * applications.
                       *
                       * Additionally, an {Approval} event is emitted on calls to {transferFrom}.
                       * This allows applications to reconstruct the allowance for all accounts just
                       * by listening to said events. Other implementations of the EIP may not emit
                       * these events, as it isn't required by the specification.
                       */
                      abstract contract ERC20 is Context, IERC20, IERC20Metadata, IERC20Errors {
                          mapping(address account => uint256) private _balances;
                          mapping(address account => mapping(address spender => uint256)) private _allowances;
                          uint256 private _totalSupply;
                          string private _name;
                          string private _symbol;
                          /**
                           * @dev Sets the values for {name} and {symbol}.
                           *
                           * All two of these values are immutable: they can only be set once during
                           * construction.
                           */
                          constructor(string memory name_, string memory symbol_) {
                              _name = name_;
                              _symbol = symbol_;
                          }
                          /**
                           * @dev Returns the name of the token.
                           */
                          function name() public view virtual returns (string memory) {
                              return _name;
                          }
                          /**
                           * @dev Returns the symbol of the token, usually a shorter version of the
                           * name.
                           */
                          function symbol() public view virtual returns (string memory) {
                              return _symbol;
                          }
                          /**
                           * @dev Returns the number of decimals used to get its user representation.
                           * For example, if `decimals` equals `2`, a balance of `505` tokens should
                           * be displayed to a user as `5.05` (`505 / 10 ** 2`).
                           *
                           * Tokens usually opt for a value of 18, imitating the relationship between
                           * Ether and Wei. This is the default value returned by this function, unless
                           * it's overridden.
                           *
                           * NOTE: This information is only used for _display_ purposes: it in
                           * no way affects any of the arithmetic of the contract, including
                           * {IERC20-balanceOf} and {IERC20-transfer}.
                           */
                          function decimals() public view virtual returns (uint8) {
                              return 18;
                          }
                          /**
                           * @dev See {IERC20-totalSupply}.
                           */
                          function totalSupply() public view virtual returns (uint256) {
                              return _totalSupply;
                          }
                          /**
                           * @dev See {IERC20-balanceOf}.
                           */
                          function balanceOf(address account) public view virtual returns (uint256) {
                              return _balances[account];
                          }
                          /**
                           * @dev See {IERC20-transfer}.
                           *
                           * Requirements:
                           *
                           * - `to` cannot be the zero address.
                           * - the caller must have a balance of at least `value`.
                           */
                          function transfer(address to, uint256 value) public virtual returns (bool) {
                              address owner = _msgSender();
                              _transfer(owner, to, value);
                              return true;
                          }
                          /**
                           * @dev See {IERC20-allowance}.
                           */
                          function allowance(address owner, address spender) public view virtual returns (uint256) {
                              return _allowances[owner][spender];
                          }
                          /**
                           * @dev See {IERC20-approve}.
                           *
                           * NOTE: If `value` is the maximum `uint256`, the allowance is not updated on
                           * `transferFrom`. This is semantically equivalent to an infinite approval.
                           *
                           * Requirements:
                           *
                           * - `spender` cannot be the zero address.
                           */
                          function approve(address spender, uint256 value) public virtual returns (bool) {
                              address owner = _msgSender();
                              _approve(owner, spender, value);
                              return true;
                          }
                          /**
                           * @dev See {IERC20-transferFrom}.
                           *
                           * Emits an {Approval} event indicating the updated allowance. This is not
                           * required by the EIP. See the note at the beginning of {ERC20}.
                           *
                           * NOTE: Does not update the allowance if the current allowance
                           * is the maximum `uint256`.
                           *
                           * Requirements:
                           *
                           * - `from` and `to` cannot be the zero address.
                           * - `from` must have a balance of at least `value`.
                           * - the caller must have allowance for ``from``'s tokens of at least
                           * `value`.
                           */
                          function transferFrom(address from, address to, uint256 value) public virtual returns (bool) {
                              address spender = _msgSender();
                              _spendAllowance(from, spender, value);
                              _transfer(from, to, value);
                              return true;
                          }
                          /**
                           * @dev Moves a `value` amount of tokens from `from` to `to`.
                           *
                           * This internal function is equivalent to {transfer}, and can be used to
                           * e.g. implement automatic token fees, slashing mechanisms, etc.
                           *
                           * Emits a {Transfer} event.
                           *
                           * NOTE: This function is not virtual, {_update} should be overridden instead.
                           */
                          function _transfer(address from, address to, uint256 value) internal {
                              if (from == address(0)) {
                                  revert ERC20InvalidSender(address(0));
                              }
                              if (to == address(0)) {
                                  revert ERC20InvalidReceiver(address(0));
                              }
                              _update(from, to, value);
                          }
                          /**
                           * @dev Transfers a `value` amount of tokens from `from` to `to`, or alternatively mints (or burns) if `from`
                           * (or `to`) is the zero address. All customizations to transfers, mints, and burns should be done by overriding
                           * this function.
                           *
                           * Emits a {Transfer} event.
                           */
                          function _update(address from, address to, uint256 value) internal virtual {
                              if (from == address(0)) {
                                  // Overflow check required: The rest of the code assumes that totalSupply never overflows
                                  _totalSupply += value;
                              } else {
                                  uint256 fromBalance = _balances[from];
                                  if (fromBalance < value) {
                                      revert ERC20InsufficientBalance(from, fromBalance, value);
                                  }
                                  unchecked {
                                      // Overflow not possible: value <= fromBalance <= totalSupply.
                                      _balances[from] = fromBalance - value;
                                  }
                              }
                              if (to == address(0)) {
                                  unchecked {
                                      // Overflow not possible: value <= totalSupply or value <= fromBalance <= totalSupply.
                                      _totalSupply -= value;
                                  }
                              } else {
                                  unchecked {
                                      // Overflow not possible: balance + value is at most totalSupply, which we know fits into a uint256.
                                      _balances[to] += value;
                                  }
                              }
                              emit Transfer(from, to, value);
                          }
                          /**
                           * @dev Creates a `value` amount of tokens and assigns them to `account`, by transferring it from address(0).
                           * Relies on the `_update` mechanism
                           *
                           * Emits a {Transfer} event with `from` set to the zero address.
                           *
                           * NOTE: This function is not virtual, {_update} should be overridden instead.
                           */
                          function _mint(address account, uint256 value) internal {
                              if (account == address(0)) {
                                  revert ERC20InvalidReceiver(address(0));
                              }
                              _update(address(0), account, value);
                          }
                          /**
                           * @dev Destroys a `value` amount of tokens from `account`, lowering the total supply.
                           * Relies on the `_update` mechanism.
                           *
                           * Emits a {Transfer} event with `to` set to the zero address.
                           *
                           * NOTE: This function is not virtual, {_update} should be overridden instead
                           */
                          function _burn(address account, uint256 value) internal {
                              if (account == address(0)) {
                                  revert ERC20InvalidSender(address(0));
                              }
                              _update(account, address(0), value);
                          }
                          /**
                           * @dev Sets `value` as the allowance of `spender` over the `owner` s tokens.
                           *
                           * This internal function is equivalent to `approve`, and can be used to
                           * e.g. set automatic allowances for certain subsystems, etc.
                           *
                           * Emits an {Approval} event.
                           *
                           * Requirements:
                           *
                           * - `owner` cannot be the zero address.
                           * - `spender` cannot be the zero address.
                           *
                           * Overrides to this logic should be done to the variant with an additional `bool emitEvent` argument.
                           */
                          function _approve(address owner, address spender, uint256 value) internal {
                              _approve(owner, spender, value, true);
                          }
                          /**
                           * @dev Variant of {_approve} with an optional flag to enable or disable the {Approval} event.
                           *
                           * By default (when calling {_approve}) the flag is set to true. On the other hand, approval changes made by
                           * `_spendAllowance` during the `transferFrom` operation set the flag to false. This saves gas by not emitting any
                           * `Approval` event during `transferFrom` operations.
                           *
                           * Anyone who wishes to continue emitting `Approval` events on the`transferFrom` operation can force the flag to
                           * true using the following override:
                           * ```
                           * function _approve(address owner, address spender, uint256 value, bool) internal virtual override {
                           *     super._approve(owner, spender, value, true);
                           * }
                           * ```
                           *
                           * Requirements are the same as {_approve}.
                           */
                          function _approve(address owner, address spender, uint256 value, bool emitEvent) internal virtual {
                              if (owner == address(0)) {
                                  revert ERC20InvalidApprover(address(0));
                              }
                              if (spender == address(0)) {
                                  revert ERC20InvalidSpender(address(0));
                              }
                              _allowances[owner][spender] = value;
                              if (emitEvent) {
                                  emit Approval(owner, spender, value);
                              }
                          }
                          /**
                           * @dev Updates `owner` s allowance for `spender` based on spent `value`.
                           *
                           * Does not update the allowance value in case of infinite allowance.
                           * Revert if not enough allowance is available.
                           *
                           * Does not emit an {Approval} event.
                           */
                          function _spendAllowance(address owner, address spender, uint256 value) internal virtual {
                              uint256 currentAllowance = allowance(owner, spender);
                              if (currentAllowance != type(uint256).max) {
                                  if (currentAllowance < value) {
                                      revert ERC20InsufficientAllowance(spender, currentAllowance, value);
                                  }
                                  unchecked {
                                      _approve(owner, spender, currentAllowance - value, false);
                                  }
                              }
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (utils/structs/Checkpoints.sol)
                      // This file was procedurally generated from scripts/generate/templates/Checkpoints.js.
                      pragma solidity ^0.8.20;
                      import {Math} from "../math/Math.sol";
                      /**
                       * @dev This library defines the `Trace*` struct, for checkpointing values as they change at different points in
                       * time, and later looking up past values by block number. See {Votes} as an example.
                       *
                       * To create a history of checkpoints define a variable type `Checkpoints.Trace*` in your contract, and store a new
                       * checkpoint for the current transaction block using the {push} function.
                       */
                      library Checkpoints {
                          /**
                           * @dev A value was attempted to be inserted on a past checkpoint.
                           */
                          error CheckpointUnorderedInsertion();
                          struct Trace224 {
                              Checkpoint224[] _checkpoints;
                          }
                          struct Checkpoint224 {
                              uint32 _key;
                              uint224 _value;
                          }
                          /**
                           * @dev Pushes a (`key`, `value`) pair into a Trace224 so that it is stored as the checkpoint.
                           *
                           * Returns previous value and new value.
                           *
                           * IMPORTANT: Never accept `key` as a user input, since an arbitrary `type(uint32).max` key set will disable the
                           * library.
                           */
                          function push(Trace224 storage self, uint32 key, uint224 value) internal returns (uint224, uint224) {
                              return _insert(self._checkpoints, key, value);
                          }
                          /**
                           * @dev Returns the value in the first (oldest) checkpoint with key greater or equal than the search key, or zero if
                           * there is none.
                           */
                          function lowerLookup(Trace224 storage self, uint32 key) internal view returns (uint224) {
                              uint256 len = self._checkpoints.length;
                              uint256 pos = _lowerBinaryLookup(self._checkpoints, key, 0, len);
                              return pos == len ? 0 : _unsafeAccess(self._checkpoints, pos)._value;
                          }
                          /**
                           * @dev Returns the value in the last (most recent) checkpoint with key lower or equal than the search key, or zero
                           * if there is none.
                           */
                          function upperLookup(Trace224 storage self, uint32 key) internal view returns (uint224) {
                              uint256 len = self._checkpoints.length;
                              uint256 pos = _upperBinaryLookup(self._checkpoints, key, 0, len);
                              return pos == 0 ? 0 : _unsafeAccess(self._checkpoints, pos - 1)._value;
                          }
                          /**
                           * @dev Returns the value in the last (most recent) checkpoint with key lower or equal than the search key, or zero
                           * if there is none.
                           *
                           * NOTE: This is a variant of {upperLookup} that is optimised to find "recent" checkpoint (checkpoints with high
                           * keys).
                           */
                          function upperLookupRecent(Trace224 storage self, uint32 key) internal view returns (uint224) {
                              uint256 len = self._checkpoints.length;
                              uint256 low = 0;
                              uint256 high = len;
                              if (len > 5) {
                                  uint256 mid = len - Math.sqrt(len);
                                  if (key < _unsafeAccess(self._checkpoints, mid)._key) {
                                      high = mid;
                                  } else {
                                      low = mid + 1;
                                  }
                              }
                              uint256 pos = _upperBinaryLookup(self._checkpoints, key, low, high);
                              return pos == 0 ? 0 : _unsafeAccess(self._checkpoints, pos - 1)._value;
                          }
                          /**
                           * @dev Returns the value in the most recent checkpoint, or zero if there are no checkpoints.
                           */
                          function latest(Trace224 storage self) internal view returns (uint224) {
                              uint256 pos = self._checkpoints.length;
                              return pos == 0 ? 0 : _unsafeAccess(self._checkpoints, pos - 1)._value;
                          }
                          /**
                           * @dev Returns whether there is a checkpoint in the structure (i.e. it is not empty), and if so the key and value
                           * in the most recent checkpoint.
                           */
                          function latestCheckpoint(Trace224 storage self) internal view returns (bool exists, uint32 _key, uint224 _value) {
                              uint256 pos = self._checkpoints.length;
                              if (pos == 0) {
                                  return (false, 0, 0);
                              } else {
                                  Checkpoint224 memory ckpt = _unsafeAccess(self._checkpoints, pos - 1);
                                  return (true, ckpt._key, ckpt._value);
                              }
                          }
                          /**
                           * @dev Returns the number of checkpoint.
                           */
                          function length(Trace224 storage self) internal view returns (uint256) {
                              return self._checkpoints.length;
                          }
                          /**
                           * @dev Returns checkpoint at given position.
                           */
                          function at(Trace224 storage self, uint32 pos) internal view returns (Checkpoint224 memory) {
                              return self._checkpoints[pos];
                          }
                          /**
                           * @dev Pushes a (`key`, `value`) pair into an ordered list of checkpoints, either by inserting a new checkpoint,
                           * or by updating the last one.
                           */
                          function _insert(Checkpoint224[] storage self, uint32 key, uint224 value) private returns (uint224, uint224) {
                              uint256 pos = self.length;
                              if (pos > 0) {
                                  // Copying to memory is important here.
                                  Checkpoint224 memory last = _unsafeAccess(self, pos - 1);
                                  // Checkpoint keys must be non-decreasing.
                                  if (last._key > key) {
                                      revert CheckpointUnorderedInsertion();
                                  }
                                  // Update or push new checkpoint
                                  if (last._key == key) {
                                      _unsafeAccess(self, pos - 1)._value = value;
                                  } else {
                                      self.push(Checkpoint224({_key: key, _value: value}));
                                  }
                                  return (last._value, value);
                              } else {
                                  self.push(Checkpoint224({_key: key, _value: value}));
                                  return (0, value);
                              }
                          }
                          /**
                           * @dev Return the index of the last (most recent) checkpoint with key lower or equal than the search key, or `high`
                           * if there is none. `low` and `high` define a section where to do the search, with inclusive `low` and exclusive
                           * `high`.
                           *
                           * WARNING: `high` should not be greater than the array's length.
                           */
                          function _upperBinaryLookup(
                              Checkpoint224[] storage self,
                              uint32 key,
                              uint256 low,
                              uint256 high
                          ) private view returns (uint256) {
                              while (low < high) {
                                  uint256 mid = Math.average(low, high);
                                  if (_unsafeAccess(self, mid)._key > key) {
                                      high = mid;
                                  } else {
                                      low = mid + 1;
                                  }
                              }
                              return high;
                          }
                          /**
                           * @dev Return the index of the first (oldest) checkpoint with key is greater or equal than the search key, or
                           * `high` if there is none. `low` and `high` define a section where to do the search, with inclusive `low` and
                           * exclusive `high`.
                           *
                           * WARNING: `high` should not be greater than the array's length.
                           */
                          function _lowerBinaryLookup(
                              Checkpoint224[] storage self,
                              uint32 key,
                              uint256 low,
                              uint256 high
                          ) private view returns (uint256) {
                              while (low < high) {
                                  uint256 mid = Math.average(low, high);
                                  if (_unsafeAccess(self, mid)._key < key) {
                                      low = mid + 1;
                                  } else {
                                      high = mid;
                                  }
                              }
                              return high;
                          }
                          /**
                           * @dev Access an element of the array without performing bounds check. The position is assumed to be within bounds.
                           */
                          function _unsafeAccess(
                              Checkpoint224[] storage self,
                              uint256 pos
                          ) private pure returns (Checkpoint224 storage result) {
                              assembly {
                                  mstore(0, self.slot)
                                  result.slot := add(keccak256(0, 0x20), pos)
                              }
                          }
                          struct Trace208 {
                              Checkpoint208[] _checkpoints;
                          }
                          struct Checkpoint208 {
                              uint48 _key;
                              uint208 _value;
                          }
                          /**
                           * @dev Pushes a (`key`, `value`) pair into a Trace208 so that it is stored as the checkpoint.
                           *
                           * Returns previous value and new value.
                           *
                           * IMPORTANT: Never accept `key` as a user input, since an arbitrary `type(uint48).max` key set will disable the
                           * library.
                           */
                          function push(Trace208 storage self, uint48 key, uint208 value) internal returns (uint208, uint208) {
                              return _insert(self._checkpoints, key, value);
                          }
                          /**
                           * @dev Returns the value in the first (oldest) checkpoint with key greater or equal than the search key, or zero if
                           * there is none.
                           */
                          function lowerLookup(Trace208 storage self, uint48 key) internal view returns (uint208) {
                              uint256 len = self._checkpoints.length;
                              uint256 pos = _lowerBinaryLookup(self._checkpoints, key, 0, len);
                              return pos == len ? 0 : _unsafeAccess(self._checkpoints, pos)._value;
                          }
                          /**
                           * @dev Returns the value in the last (most recent) checkpoint with key lower or equal than the search key, or zero
                           * if there is none.
                           */
                          function upperLookup(Trace208 storage self, uint48 key) internal view returns (uint208) {
                              uint256 len = self._checkpoints.length;
                              uint256 pos = _upperBinaryLookup(self._checkpoints, key, 0, len);
                              return pos == 0 ? 0 : _unsafeAccess(self._checkpoints, pos - 1)._value;
                          }
                          /**
                           * @dev Returns the value in the last (most recent) checkpoint with key lower or equal than the search key, or zero
                           * if there is none.
                           *
                           * NOTE: This is a variant of {upperLookup} that is optimised to find "recent" checkpoint (checkpoints with high
                           * keys).
                           */
                          function upperLookupRecent(Trace208 storage self, uint48 key) internal view returns (uint208) {
                              uint256 len = self._checkpoints.length;
                              uint256 low = 0;
                              uint256 high = len;
                              if (len > 5) {
                                  uint256 mid = len - Math.sqrt(len);
                                  if (key < _unsafeAccess(self._checkpoints, mid)._key) {
                                      high = mid;
                                  } else {
                                      low = mid + 1;
                                  }
                              }
                              uint256 pos = _upperBinaryLookup(self._checkpoints, key, low, high);
                              return pos == 0 ? 0 : _unsafeAccess(self._checkpoints, pos - 1)._value;
                          }
                          /**
                           * @dev Returns the value in the most recent checkpoint, or zero if there are no checkpoints.
                           */
                          function latest(Trace208 storage self) internal view returns (uint208) {
                              uint256 pos = self._checkpoints.length;
                              return pos == 0 ? 0 : _unsafeAccess(self._checkpoints, pos - 1)._value;
                          }
                          /**
                           * @dev Returns whether there is a checkpoint in the structure (i.e. it is not empty), and if so the key and value
                           * in the most recent checkpoint.
                           */
                          function latestCheckpoint(Trace208 storage self) internal view returns (bool exists, uint48 _key, uint208 _value) {
                              uint256 pos = self._checkpoints.length;
                              if (pos == 0) {
                                  return (false, 0, 0);
                              } else {
                                  Checkpoint208 memory ckpt = _unsafeAccess(self._checkpoints, pos - 1);
                                  return (true, ckpt._key, ckpt._value);
                              }
                          }
                          /**
                           * @dev Returns the number of checkpoint.
                           */
                          function length(Trace208 storage self) internal view returns (uint256) {
                              return self._checkpoints.length;
                          }
                          /**
                           * @dev Returns checkpoint at given position.
                           */
                          function at(Trace208 storage self, uint32 pos) internal view returns (Checkpoint208 memory) {
                              return self._checkpoints[pos];
                          }
                          /**
                           * @dev Pushes a (`key`, `value`) pair into an ordered list of checkpoints, either by inserting a new checkpoint,
                           * or by updating the last one.
                           */
                          function _insert(Checkpoint208[] storage self, uint48 key, uint208 value) private returns (uint208, uint208) {
                              uint256 pos = self.length;
                              if (pos > 0) {
                                  // Copying to memory is important here.
                                  Checkpoint208 memory last = _unsafeAccess(self, pos - 1);
                                  // Checkpoint keys must be non-decreasing.
                                  if (last._key > key) {
                                      revert CheckpointUnorderedInsertion();
                                  }
                                  // Update or push new checkpoint
                                  if (last._key == key) {
                                      _unsafeAccess(self, pos - 1)._value = value;
                                  } else {
                                      self.push(Checkpoint208({_key: key, _value: value}));
                                  }
                                  return (last._value, value);
                              } else {
                                  self.push(Checkpoint208({_key: key, _value: value}));
                                  return (0, value);
                              }
                          }
                          /**
                           * @dev Return the index of the last (most recent) checkpoint with key lower or equal than the search key, or `high`
                           * if there is none. `low` and `high` define a section where to do the search, with inclusive `low` and exclusive
                           * `high`.
                           *
                           * WARNING: `high` should not be greater than the array's length.
                           */
                          function _upperBinaryLookup(
                              Checkpoint208[] storage self,
                              uint48 key,
                              uint256 low,
                              uint256 high
                          ) private view returns (uint256) {
                              while (low < high) {
                                  uint256 mid = Math.average(low, high);
                                  if (_unsafeAccess(self, mid)._key > key) {
                                      high = mid;
                                  } else {
                                      low = mid + 1;
                                  }
                              }
                              return high;
                          }
                          /**
                           * @dev Return the index of the first (oldest) checkpoint with key is greater or equal than the search key, or
                           * `high` if there is none. `low` and `high` define a section where to do the search, with inclusive `low` and
                           * exclusive `high`.
                           *
                           * WARNING: `high` should not be greater than the array's length.
                           */
                          function _lowerBinaryLookup(
                              Checkpoint208[] storage self,
                              uint48 key,
                              uint256 low,
                              uint256 high
                          ) private view returns (uint256) {
                              while (low < high) {
                                  uint256 mid = Math.average(low, high);
                                  if (_unsafeAccess(self, mid)._key < key) {
                                      low = mid + 1;
                                  } else {
                                      high = mid;
                                  }
                              }
                              return high;
                          }
                          /**
                           * @dev Access an element of the array without performing bounds check. The position is assumed to be within bounds.
                           */
                          function _unsafeAccess(
                              Checkpoint208[] storage self,
                              uint256 pos
                          ) private pure returns (Checkpoint208 storage result) {
                              assembly {
                                  mstore(0, self.slot)
                                  result.slot := add(keccak256(0, 0x20), pos)
                              }
                          }
                          struct Trace160 {
                              Checkpoint160[] _checkpoints;
                          }
                          struct Checkpoint160 {
                              uint96 _key;
                              uint160 _value;
                          }
                          /**
                           * @dev Pushes a (`key`, `value`) pair into a Trace160 so that it is stored as the checkpoint.
                           *
                           * Returns previous value and new value.
                           *
                           * IMPORTANT: Never accept `key` as a user input, since an arbitrary `type(uint96).max` key set will disable the
                           * library.
                           */
                          function push(Trace160 storage self, uint96 key, uint160 value) internal returns (uint160, uint160) {
                              return _insert(self._checkpoints, key, value);
                          }
                          /**
                           * @dev Returns the value in the first (oldest) checkpoint with key greater or equal than the search key, or zero if
                           * there is none.
                           */
                          function lowerLookup(Trace160 storage self, uint96 key) internal view returns (uint160) {
                              uint256 len = self._checkpoints.length;
                              uint256 pos = _lowerBinaryLookup(self._checkpoints, key, 0, len);
                              return pos == len ? 0 : _unsafeAccess(self._checkpoints, pos)._value;
                          }
                          /**
                           * @dev Returns the value in the last (most recent) checkpoint with key lower or equal than the search key, or zero
                           * if there is none.
                           */
                          function upperLookup(Trace160 storage self, uint96 key) internal view returns (uint160) {
                              uint256 len = self._checkpoints.length;
                              uint256 pos = _upperBinaryLookup(self._checkpoints, key, 0, len);
                              return pos == 0 ? 0 : _unsafeAccess(self._checkpoints, pos - 1)._value;
                          }
                          /**
                           * @dev Returns the value in the last (most recent) checkpoint with key lower or equal than the search key, or zero
                           * if there is none.
                           *
                           * NOTE: This is a variant of {upperLookup} that is optimised to find "recent" checkpoint (checkpoints with high
                           * keys).
                           */
                          function upperLookupRecent(Trace160 storage self, uint96 key) internal view returns (uint160) {
                              uint256 len = self._checkpoints.length;
                              uint256 low = 0;
                              uint256 high = len;
                              if (len > 5) {
                                  uint256 mid = len - Math.sqrt(len);
                                  if (key < _unsafeAccess(self._checkpoints, mid)._key) {
                                      high = mid;
                                  } else {
                                      low = mid + 1;
                                  }
                              }
                              uint256 pos = _upperBinaryLookup(self._checkpoints, key, low, high);
                              return pos == 0 ? 0 : _unsafeAccess(self._checkpoints, pos - 1)._value;
                          }
                          /**
                           * @dev Returns the value in the most recent checkpoint, or zero if there are no checkpoints.
                           */
                          function latest(Trace160 storage self) internal view returns (uint160) {
                              uint256 pos = self._checkpoints.length;
                              return pos == 0 ? 0 : _unsafeAccess(self._checkpoints, pos - 1)._value;
                          }
                          /**
                           * @dev Returns whether there is a checkpoint in the structure (i.e. it is not empty), and if so the key and value
                           * in the most recent checkpoint.
                           */
                          function latestCheckpoint(Trace160 storage self) internal view returns (bool exists, uint96 _key, uint160 _value) {
                              uint256 pos = self._checkpoints.length;
                              if (pos == 0) {
                                  return (false, 0, 0);
                              } else {
                                  Checkpoint160 memory ckpt = _unsafeAccess(self._checkpoints, pos - 1);
                                  return (true, ckpt._key, ckpt._value);
                              }
                          }
                          /**
                           * @dev Returns the number of checkpoint.
                           */
                          function length(Trace160 storage self) internal view returns (uint256) {
                              return self._checkpoints.length;
                          }
                          /**
                           * @dev Returns checkpoint at given position.
                           */
                          function at(Trace160 storage self, uint32 pos) internal view returns (Checkpoint160 memory) {
                              return self._checkpoints[pos];
                          }
                          /**
                           * @dev Pushes a (`key`, `value`) pair into an ordered list of checkpoints, either by inserting a new checkpoint,
                           * or by updating the last one.
                           */
                          function _insert(Checkpoint160[] storage self, uint96 key, uint160 value) private returns (uint160, uint160) {
                              uint256 pos = self.length;
                              if (pos > 0) {
                                  // Copying to memory is important here.
                                  Checkpoint160 memory last = _unsafeAccess(self, pos - 1);
                                  // Checkpoint keys must be non-decreasing.
                                  if (last._key > key) {
                                      revert CheckpointUnorderedInsertion();
                                  }
                                  // Update or push new checkpoint
                                  if (last._key == key) {
                                      _unsafeAccess(self, pos - 1)._value = value;
                                  } else {
                                      self.push(Checkpoint160({_key: key, _value: value}));
                                  }
                                  return (last._value, value);
                              } else {
                                  self.push(Checkpoint160({_key: key, _value: value}));
                                  return (0, value);
                              }
                          }
                          /**
                           * @dev Return the index of the last (most recent) checkpoint with key lower or equal than the search key, or `high`
                           * if there is none. `low` and `high` define a section where to do the search, with inclusive `low` and exclusive
                           * `high`.
                           *
                           * WARNING: `high` should not be greater than the array's length.
                           */
                          function _upperBinaryLookup(
                              Checkpoint160[] storage self,
                              uint96 key,
                              uint256 low,
                              uint256 high
                          ) private view returns (uint256) {
                              while (low < high) {
                                  uint256 mid = Math.average(low, high);
                                  if (_unsafeAccess(self, mid)._key > key) {
                                      high = mid;
                                  } else {
                                      low = mid + 1;
                                  }
                              }
                              return high;
                          }
                          /**
                           * @dev Return the index of the first (oldest) checkpoint with key is greater or equal than the search key, or
                           * `high` if there is none. `low` and `high` define a section where to do the search, with inclusive `low` and
                           * exclusive `high`.
                           *
                           * WARNING: `high` should not be greater than the array's length.
                           */
                          function _lowerBinaryLookup(
                              Checkpoint160[] storage self,
                              uint96 key,
                              uint256 low,
                              uint256 high
                          ) private view returns (uint256) {
                              while (low < high) {
                                  uint256 mid = Math.average(low, high);
                                  if (_unsafeAccess(self, mid)._key < key) {
                                      low = mid + 1;
                                  } else {
                                      high = mid;
                                  }
                              }
                              return high;
                          }
                          /**
                           * @dev Access an element of the array without performing bounds check. The position is assumed to be within bounds.
                           */
                          function _unsafeAccess(
                              Checkpoint160[] storage self,
                              uint256 pos
                          ) private pure returns (Checkpoint160 storage result) {
                              assembly {
                                  mstore(0, self.slot)
                                  result.slot := add(keccak256(0, 0x20), pos)
                              }
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (governance/utils/Votes.sol)
                      pragma solidity ^0.8.20;
                      import {IERC5805} from "../../interfaces/IERC5805.sol";
                      import {Context} from "../../utils/Context.sol";
                      import {Nonces} from "../../utils/Nonces.sol";
                      import {EIP712} from "../../utils/cryptography/EIP712.sol";
                      import {Checkpoints} from "../../utils/structs/Checkpoints.sol";
                      import {SafeCast} from "../../utils/math/SafeCast.sol";
                      import {ECDSA} from "../../utils/cryptography/ECDSA.sol";
                      import {Time} from "../../utils/types/Time.sol";
                      /**
                       * @dev This is a base abstract contract that tracks voting units, which are a measure of voting power that can be
                       * transferred, and provides a system of vote delegation, where an account can delegate its voting units to a sort of
                       * "representative" that will pool delegated voting units from different accounts and can then use it to vote in
                       * decisions. In fact, voting units _must_ be delegated in order to count as actual votes, and an account has to
                       * delegate those votes to itself if it wishes to participate in decisions and does not have a trusted representative.
                       *
                       * This contract is often combined with a token contract such that voting units correspond to token units. For an
                       * example, see {ERC721Votes}.
                       *
                       * The full history of delegate votes is tracked on-chain so that governance protocols can consider votes as distributed
                       * at a particular block number to protect against flash loans and double voting. The opt-in delegate system makes the
                       * cost of this history tracking optional.
                       *
                       * When using this module the derived contract must implement {_getVotingUnits} (for example, make it return
                       * {ERC721-balanceOf}), and can use {_transferVotingUnits} to track a change in the distribution of those units (in the
                       * previous example, it would be included in {ERC721-_update}).
                       */
                      abstract contract Votes is Context, EIP712, Nonces, IERC5805 {
                          using Checkpoints for Checkpoints.Trace208;
                          bytes32 private constant DELEGATION_TYPEHASH =
                              keccak256("Delegation(address delegatee,uint256 nonce,uint256 expiry)");
                          mapping(address account => address) private _delegatee;
                          mapping(address delegatee => Checkpoints.Trace208) private _delegateCheckpoints;
                          Checkpoints.Trace208 private _totalCheckpoints;
                          /**
                           * @dev The clock was incorrectly modified.
                           */
                          error ERC6372InconsistentClock();
                          /**
                           * @dev Lookup to future votes is not available.
                           */
                          error ERC5805FutureLookup(uint256 timepoint, uint48 clock);
                          /**
                           * @dev Clock used for flagging checkpoints. Can be overridden to implement timestamp based
                           * checkpoints (and voting), in which case {CLOCK_MODE} should be overridden as well to match.
                           */
                          function clock() public view virtual returns (uint48) {
                              return Time.blockNumber();
                          }
                          /**
                           * @dev Machine-readable description of the clock as specified in EIP-6372.
                           */
                          // solhint-disable-next-line func-name-mixedcase
                          function CLOCK_MODE() public view virtual returns (string memory) {
                              // Check that the clock was not modified
                              if (clock() != Time.blockNumber()) {
                                  revert ERC6372InconsistentClock();
                              }
                              return "mode=blocknumber&from=default";
                          }
                          /**
                           * @dev Returns the current amount of votes that `account` has.
                           */
                          function getVotes(address account) public view virtual returns (uint256) {
                              return _delegateCheckpoints[account].latest();
                          }
                          /**
                           * @dev Returns the amount of votes that `account` had at a specific moment in the past. If the `clock()` is
                           * configured to use block numbers, this will return the value at the end of the corresponding block.
                           *
                           * Requirements:
                           *
                           * - `timepoint` must be in the past. If operating using block numbers, the block must be already mined.
                           */
                          function getPastVotes(address account, uint256 timepoint) public view virtual returns (uint256) {
                              uint48 currentTimepoint = clock();
                              if (timepoint >= currentTimepoint) {
                                  revert ERC5805FutureLookup(timepoint, currentTimepoint);
                              }
                              return _delegateCheckpoints[account].upperLookupRecent(SafeCast.toUint48(timepoint));
                          }
                          /**
                           * @dev Returns the total supply of votes available at a specific moment in the past. If the `clock()` is
                           * configured to use block numbers, this will return the value at the end of the corresponding block.
                           *
                           * NOTE: This value is the sum of all available votes, which is not necessarily the sum of all delegated votes.
                           * Votes that have not been delegated are still part of total supply, even though they would not participate in a
                           * vote.
                           *
                           * Requirements:
                           *
                           * - `timepoint` must be in the past. If operating using block numbers, the block must be already mined.
                           */
                          function getPastTotalSupply(uint256 timepoint) public view virtual returns (uint256) {
                              uint48 currentTimepoint = clock();
                              if (timepoint >= currentTimepoint) {
                                  revert ERC5805FutureLookup(timepoint, currentTimepoint);
                              }
                              return _totalCheckpoints.upperLookupRecent(SafeCast.toUint48(timepoint));
                          }
                          /**
                           * @dev Returns the current total supply of votes.
                           */
                          function _getTotalSupply() internal view virtual returns (uint256) {
                              return _totalCheckpoints.latest();
                          }
                          /**
                           * @dev Returns the delegate that `account` has chosen.
                           */
                          function delegates(address account) public view virtual returns (address) {
                              return _delegatee[account];
                          }
                          /**
                           * @dev Delegates votes from the sender to `delegatee`.
                           */
                          function delegate(address delegatee) public virtual {
                              address account = _msgSender();
                              _delegate(account, delegatee);
                          }
                          /**
                           * @dev Delegates votes from signer to `delegatee`.
                           */
                          function delegateBySig(
                              address delegatee,
                              uint256 nonce,
                              uint256 expiry,
                              uint8 v,
                              bytes32 r,
                              bytes32 s
                          ) public virtual {
                              if (block.timestamp > expiry) {
                                  revert VotesExpiredSignature(expiry);
                              }
                              address signer = ECDSA.recover(
                                  _hashTypedDataV4(keccak256(abi.encode(DELEGATION_TYPEHASH, delegatee, nonce, expiry))),
                                  v,
                                  r,
                                  s
                              );
                              _useCheckedNonce(signer, nonce);
                              _delegate(signer, delegatee);
                          }
                          /**
                           * @dev Delegate all of `account`'s voting units to `delegatee`.
                           *
                           * Emits events {IVotes-DelegateChanged} and {IVotes-DelegateVotesChanged}.
                           */
                          function _delegate(address account, address delegatee) internal virtual {
                              address oldDelegate = delegates(account);
                              _delegatee[account] = delegatee;
                              emit DelegateChanged(account, oldDelegate, delegatee);
                              _moveDelegateVotes(oldDelegate, delegatee, _getVotingUnits(account));
                          }
                          /**
                           * @dev Transfers, mints, or burns voting units. To register a mint, `from` should be zero. To register a burn, `to`
                           * should be zero. Total supply of voting units will be adjusted with mints and burns.
                           */
                          function _transferVotingUnits(address from, address to, uint256 amount) internal virtual {
                              if (from == address(0)) {
                                  _push(_totalCheckpoints, _add, SafeCast.toUint208(amount));
                              }
                              if (to == address(0)) {
                                  _push(_totalCheckpoints, _subtract, SafeCast.toUint208(amount));
                              }
                              _moveDelegateVotes(delegates(from), delegates(to), amount);
                          }
                          /**
                           * @dev Moves delegated votes from one delegate to another.
                           */
                          function _moveDelegateVotes(address from, address to, uint256 amount) private {
                              if (from != to && amount > 0) {
                                  if (from != address(0)) {
                                      (uint256 oldValue, uint256 newValue) = _push(
                                          _delegateCheckpoints[from],
                                          _subtract,
                                          SafeCast.toUint208(amount)
                                      );
                                      emit DelegateVotesChanged(from, oldValue, newValue);
                                  }
                                  if (to != address(0)) {
                                      (uint256 oldValue, uint256 newValue) = _push(
                                          _delegateCheckpoints[to],
                                          _add,
                                          SafeCast.toUint208(amount)
                                      );
                                      emit DelegateVotesChanged(to, oldValue, newValue);
                                  }
                              }
                          }
                          /**
                           * @dev Get number of checkpoints for `account`.
                           */
                          function _numCheckpoints(address account) internal view virtual returns (uint32) {
                              return SafeCast.toUint32(_delegateCheckpoints[account].length());
                          }
                          /**
                           * @dev Get the `pos`-th checkpoint for `account`.
                           */
                          function _checkpoints(
                              address account,
                              uint32 pos
                          ) internal view virtual returns (Checkpoints.Checkpoint208 memory) {
                              return _delegateCheckpoints[account].at(pos);
                          }
                          function _push(
                              Checkpoints.Trace208 storage store,
                              function(uint208, uint208) view returns (uint208) op,
                              uint208 delta
                          ) private returns (uint208, uint208) {
                              return store.push(clock(), op(store.latest(), delta));
                          }
                          function _add(uint208 a, uint208 b) private pure returns (uint208) {
                              return a + b;
                          }
                          function _subtract(uint208 a, uint208 b) private pure returns (uint208) {
                              return a - b;
                          }
                          /**
                           * @dev Must return the voting units held by an account.
                           */
                          function _getVotingUnits(address) internal view virtual returns (uint256);
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (utils/Nonces.sol)
                      pragma solidity ^0.8.20;
                      /**
                       * @dev Provides tracking nonces for addresses. Nonces will only increment.
                       */
                      abstract contract Nonces {
                          /**
                           * @dev The nonce used for an `account` is not the expected current nonce.
                           */
                          error InvalidAccountNonce(address account, uint256 currentNonce);
                          mapping(address account => uint256) private _nonces;
                          /**
                           * @dev Returns the next unused nonce for an address.
                           */
                          function nonces(address owner) public view virtual returns (uint256) {
                              return _nonces[owner];
                          }
                          /**
                           * @dev Consumes a nonce.
                           *
                           * Returns the current value and increments nonce.
                           */
                          function _useNonce(address owner) internal virtual returns (uint256) {
                              // For each account, the nonce has an initial value of 0, can only be incremented by one, and cannot be
                              // decremented or reset. This guarantees that the nonce never overflows.
                              unchecked {
                                  // It is important to do x++ and not ++x here.
                                  return _nonces[owner]++;
                              }
                          }
                          /**
                           * @dev Same as {_useNonce} but checking that `nonce` is the next valid for `owner`.
                           */
                          function _useCheckedNonce(address owner, uint256 nonce) internal virtual {
                              uint256 current = _useNonce(owner);
                              if (nonce != current) {
                                  revert InvalidAccountNonce(owner, current);
                              }
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (utils/cryptography/EIP712.sol)
                      pragma solidity ^0.8.20;
                      import {MessageHashUtils} from "./MessageHashUtils.sol";
                      import {ShortStrings, ShortString} from "../ShortStrings.sol";
                      import {IERC5267} from "../../interfaces/IERC5267.sol";
                      /**
                       * @dev https://eips.ethereum.org/EIPS/eip-712[EIP 712] is a standard for hashing and signing of typed structured data.
                       *
                       * The encoding scheme specified in the EIP requires a domain separator and a hash of the typed structured data, whose
                       * encoding is very generic and therefore its implementation in Solidity is not feasible, thus this contract
                       * does not implement the encoding itself. Protocols need to implement the type-specific encoding they need in order to
                       * produce the hash of their typed data using a combination of `abi.encode` and `keccak256`.
                       *
                       * This contract implements the EIP 712 domain separator ({_domainSeparatorV4}) that is used as part of the encoding
                       * scheme, and the final step of the encoding to obtain the message digest that is then signed via ECDSA
                       * ({_hashTypedDataV4}).
                       *
                       * The implementation of the domain separator was designed to be as efficient as possible while still properly updating
                       * the chain id to protect against replay attacks on an eventual fork of the chain.
                       *
                       * NOTE: This contract implements the version of the encoding known as "v4", as implemented by the JSON RPC method
                       * https://docs.metamask.io/guide/signing-data.html[`eth_signTypedDataV4` in MetaMask].
                       *
                       * NOTE: In the upgradeable version of this contract, the cached values will correspond to the address, and the domain
                       * separator of the implementation contract. This will cause the {_domainSeparatorV4} function to always rebuild the
                       * separator from the immutable values, which is cheaper than accessing a cached version in cold storage.
                       *
                       * @custom:oz-upgrades-unsafe-allow state-variable-immutable
                       */
                      abstract contract EIP712 is IERC5267 {
                          using ShortStrings for *;
                          bytes32 private constant TYPE_HASH =
                              keccak256("EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)");
                          // 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 _cachedDomainSeparator;
                          uint256 private immutable _cachedChainId;
                          address private immutable _cachedThis;
                          bytes32 private immutable _hashedName;
                          bytes32 private immutable _hashedVersion;
                          ShortString private immutable _name;
                          ShortString private immutable _version;
                          string private _nameFallback;
                          string private _versionFallback;
                          /**
                           * @dev Initializes the domain separator and parameter caches.
                           *
                           * The meaning of `name` and `version` is specified in
                           * https://eips.ethereum.org/EIPS/eip-712#definition-of-domainseparator[EIP 712]:
                           *
                           * - `name`: the user readable name of the signing domain, i.e. the name of the DApp or the protocol.
                           * - `version`: the current major version of the signing domain.
                           *
                           * NOTE: These parameters cannot be changed except through a xref:learn::upgrading-smart-contracts.adoc[smart
                           * contract upgrade].
                           */
                          constructor(string memory name, string memory version) {
                              _name = name.toShortStringWithFallback(_nameFallback);
                              _version = version.toShortStringWithFallback(_versionFallback);
                              _hashedName = keccak256(bytes(name));
                              _hashedVersion = keccak256(bytes(version));
                              _cachedChainId = block.chainid;
                              _cachedDomainSeparator = _buildDomainSeparator();
                              _cachedThis = address(this);
                          }
                          /**
                           * @dev Returns the domain separator for the current chain.
                           */
                          function _domainSeparatorV4() internal view returns (bytes32) {
                              if (address(this) == _cachedThis && block.chainid == _cachedChainId) {
                                  return _cachedDomainSeparator;
                              } else {
                                  return _buildDomainSeparator();
                              }
                          }
                          function _buildDomainSeparator() private view returns (bytes32) {
                              return keccak256(abi.encode(TYPE_HASH, _hashedName, _hashedVersion, block.chainid, address(this)));
                          }
                          /**
                           * @dev Given an already https://eips.ethereum.org/EIPS/eip-712#definition-of-hashstruct[hashed struct], this
                           * function returns the hash of the fully encoded EIP712 message for this domain.
                           *
                           * This hash can be used together with {ECDSA-recover} to obtain the signer of a message. For example:
                           *
                           * ```solidity
                           * bytes32 digest = _hashTypedDataV4(keccak256(abi.encode(
                           *     keccak256("Mail(address to,string contents)"),
                           *     mailTo,
                           *     keccak256(bytes(mailContents))
                           * )));
                           * address signer = ECDSA.recover(digest, signature);
                           * ```
                           */
                          function _hashTypedDataV4(bytes32 structHash) internal view virtual returns (bytes32) {
                              return MessageHashUtils.toTypedDataHash(_domainSeparatorV4(), structHash);
                          }
                          /**
                           * @dev See {IERC-5267}.
                           */
                          function eip712Domain()
                              public
                              view
                              virtual
                              returns (
                                  bytes1 fields,
                                  string memory name,
                                  string memory version,
                                  uint256 chainId,
                                  address verifyingContract,
                                  bytes32 salt,
                                  uint256[] memory extensions
                              )
                          {
                              return (
                                  hex"0f", // 01111
                                  _EIP712Name(),
                                  _EIP712Version(),
                                  block.chainid,
                                  address(this),
                                  bytes32(0),
                                  new uint256[](0)
                              );
                          }
                          /**
                           * @dev The name parameter for the EIP712 domain.
                           *
                           * NOTE: By default this function reads _name which is an immutable value.
                           * It only reads from storage if necessary (in case the value is too large to fit in a ShortString).
                           */
                          // solhint-disable-next-line func-name-mixedcase
                          function _EIP712Name() internal view returns (string memory) {
                              return _name.toStringWithFallback(_nameFallback);
                          }
                          /**
                           * @dev The version parameter for the EIP712 domain.
                           *
                           * NOTE: By default this function reads _version which is an immutable value.
                           * It only reads from storage if necessary (in case the value is too large to fit in a ShortString).
                           */
                          // solhint-disable-next-line func-name-mixedcase
                          function _EIP712Version() internal view returns (string memory) {
                              return _version.toStringWithFallback(_versionFallback);
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (utils/cryptography/ECDSA.sol)
                      pragma solidity ^0.8.20;
                      /**
                       * @dev Elliptic Curve Digital Signature Algorithm (ECDSA) operations.
                       *
                       * These functions can be used to verify that a message was signed by the holder
                       * of the private keys of a given address.
                       */
                      library ECDSA {
                          enum RecoverError {
                              NoError,
                              InvalidSignature,
                              InvalidSignatureLength,
                              InvalidSignatureS
                          }
                          /**
                           * @dev The signature derives the `address(0)`.
                           */
                          error ECDSAInvalidSignature();
                          /**
                           * @dev The signature has an invalid length.
                           */
                          error ECDSAInvalidSignatureLength(uint256 length);
                          /**
                           * @dev The signature has an S value that is in the upper half order.
                           */
                          error ECDSAInvalidSignatureS(bytes32 s);
                          /**
                           * @dev Returns the address that signed a hashed message (`hash`) with `signature` or an error. This will not
                           * return address(0) without also returning an error description. Errors are documented using an enum (error type)
                           * and a bytes32 providing additional information about the error.
                           *
                           * If no error is returned, then the address can be used for verification purposes.
                           *
                           * The `ecrecover` EVM precompile allows for malleable (non-unique) signatures:
                           * this function rejects them by requiring the `s` value to be in the lower
                           * half order, and the `v` value to be either 27 or 28.
                           *
                           * IMPORTANT: `hash` _must_ be the result of a hash operation for the
                           * verification to be secure: it is possible to craft signatures that
                           * recover to arbitrary addresses for non-hashed data. A safe way to ensure
                           * this is by receiving a hash of the original message (which may otherwise
                           * be too long), and then calling {MessageHashUtils-toEthSignedMessageHash} on it.
                           *
                           * Documentation for signature generation:
                           * - with https://web3js.readthedocs.io/en/v1.3.4/web3-eth-accounts.html#sign[Web3.js]
                           * - with https://docs.ethers.io/v5/api/signer/#Signer-signMessage[ethers]
                           */
                          function tryRecover(bytes32 hash, bytes memory signature) internal pure returns (address, RecoverError, bytes32) {
                              if (signature.length == 65) {
                                  bytes32 r;
                                  bytes32 s;
                                  uint8 v;
                                  // ecrecover takes the signature parameters, and the only way to get them
                                  // currently is to use assembly.
                                  /// @solidity memory-safe-assembly
                                  assembly {
                                      r := mload(add(signature, 0x20))
                                      s := mload(add(signature, 0x40))
                                      v := byte(0, mload(add(signature, 0x60)))
                                  }
                                  return tryRecover(hash, v, r, s);
                              } else {
                                  return (address(0), RecoverError.InvalidSignatureLength, bytes32(signature.length));
                              }
                          }
                          /**
                           * @dev Returns the address that signed a hashed message (`hash`) with
                           * `signature`. This address can then be used for verification purposes.
                           *
                           * The `ecrecover` EVM precompile allows for malleable (non-unique) signatures:
                           * this function rejects them by requiring the `s` value to be in the lower
                           * half order, and the `v` value to be either 27 or 28.
                           *
                           * IMPORTANT: `hash` _must_ be the result of a hash operation for the
                           * verification to be secure: it is possible to craft signatures that
                           * recover to arbitrary addresses for non-hashed data. A safe way to ensure
                           * this is by receiving a hash of the original message (which may otherwise
                           * be too long), and then calling {MessageHashUtils-toEthSignedMessageHash} on it.
                           */
                          function recover(bytes32 hash, bytes memory signature) internal pure returns (address) {
                              (address recovered, RecoverError error, bytes32 errorArg) = tryRecover(hash, signature);
                              _throwError(error, errorArg);
                              return recovered;
                          }
                          /**
                           * @dev Overload of {ECDSA-tryRecover} that receives the `r` and `vs` short-signature fields separately.
                           *
                           * See https://eips.ethereum.org/EIPS/eip-2098[EIP-2098 short signatures]
                           */
                          function tryRecover(bytes32 hash, bytes32 r, bytes32 vs) internal pure returns (address, RecoverError, bytes32) {
                              unchecked {
                                  bytes32 s = vs & bytes32(0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff);
                                  // We do not check for an overflow here since the shift operation results in 0 or 1.
                                  uint8 v = uint8((uint256(vs) >> 255) + 27);
                                  return tryRecover(hash, v, r, s);
                              }
                          }
                          /**
                           * @dev Overload of {ECDSA-recover} that receives the `r and `vs` short-signature fields separately.
                           */
                          function recover(bytes32 hash, bytes32 r, bytes32 vs) internal pure returns (address) {
                              (address recovered, RecoverError error, bytes32 errorArg) = tryRecover(hash, r, vs);
                              _throwError(error, errorArg);
                              return recovered;
                          }
                          /**
                           * @dev Overload of {ECDSA-tryRecover} that receives the `v`,
                           * `r` and `s` signature fields separately.
                           */
                          function tryRecover(
                              bytes32 hash,
                              uint8 v,
                              bytes32 r,
                              bytes32 s
                          ) internal pure returns (address, RecoverError, bytes32) {
                              // EIP-2 still allows signature malleability for ecrecover(). Remove this possibility and make the signature
                              // unique. Appendix F in the Ethereum Yellow paper (https://ethereum.github.io/yellowpaper/paper.pdf), defines
                              // the valid range for s in (301): 0 < s < secp256k1n ÷ 2 + 1, and for v in (302): v ∈ {27, 28}. Most
                              // signatures from current libraries generate a unique signature with an s-value in the lower half order.
                              //
                              // If your library generates malleable signatures, such as s-values in the upper range, calculate a new s-value
                              // with 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141 - s1 and flip v from 27 to 28 or
                              // vice versa. If your library also generates signatures with 0/1 for v instead 27/28, add 27 to v to accept
                              // these malleable signatures as well.
                              if (uint256(s) > 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF5D576E7357A4501DDFE92F46681B20A0) {
                                  return (address(0), RecoverError.InvalidSignatureS, s);
                              }
                              // If the signature is valid (and not malleable), return the signer address
                              address signer = ecrecover(hash, v, r, s);
                              if (signer == address(0)) {
                                  return (address(0), RecoverError.InvalidSignature, bytes32(0));
                              }
                              return (signer, RecoverError.NoError, bytes32(0));
                          }
                          /**
                           * @dev Overload of {ECDSA-recover} that receives the `v`,
                           * `r` and `s` signature fields separately.
                           */
                          function recover(bytes32 hash, uint8 v, bytes32 r, bytes32 s) internal pure returns (address) {
                              (address recovered, RecoverError error, bytes32 errorArg) = tryRecover(hash, v, r, s);
                              _throwError(error, errorArg);
                              return recovered;
                          }
                          /**
                           * @dev Optionally reverts with the corresponding custom error according to the `error` argument provided.
                           */
                          function _throwError(RecoverError error, bytes32 errorArg) private pure {
                              if (error == RecoverError.NoError) {
                                  return; // no error: do nothing
                              } else if (error == RecoverError.InvalidSignature) {
                                  revert ECDSAInvalidSignature();
                              } else if (error == RecoverError.InvalidSignatureLength) {
                                  revert ECDSAInvalidSignatureLength(uint256(errorArg));
                              } else if (error == RecoverError.InvalidSignatureS) {
                                  revert ECDSAInvalidSignatureS(errorArg);
                              }
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (token/ERC20/extensions/IERC20Permit.sol)
                      pragma solidity ^0.8.20;
                      /**
                       * @dev Interface of the ERC20 Permit extension allowing approvals to be made via signatures, as defined in
                       * https://eips.ethereum.org/EIPS/eip-2612[EIP-2612].
                       *
                       * Adds the {permit} method, which can be used to change an account's ERC20 allowance (see {IERC20-allowance}) by
                       * presenting a message signed by the account. By not relying on {IERC20-approve}, the token holder account doesn't
                       * need to send a transaction, and thus is not required to hold Ether at all.
                       *
                       * ==== Security Considerations
                       *
                       * There are two important considerations concerning the use of `permit`. The first is that a valid permit signature
                       * expresses an allowance, and it should not be assumed to convey additional meaning. In particular, it should not be
                       * considered as an intention to spend the allowance in any specific way. The second is that because permits have
                       * built-in replay protection and can be submitted by anyone, they can be frontrun. A protocol that uses permits should
                       * take this into consideration and allow a `permit` call to fail. Combining these two aspects, a pattern that may be
                       * generally recommended is:
                       *
                       * ```solidity
                       * function doThingWithPermit(..., uint256 value, uint256 deadline, uint8 v, bytes32 r, bytes32 s) public {
                       *     try token.permit(msg.sender, address(this), value, deadline, v, r, s) {} catch {}
                       *     doThing(..., value);
                       * }
                       *
                       * function doThing(..., uint256 value) public {
                       *     token.safeTransferFrom(msg.sender, address(this), value);
                       *     ...
                       * }
                       * ```
                       *
                       * Observe that: 1) `msg.sender` is used as the owner, leaving no ambiguity as to the signer intent, and 2) the use of
                       * `try/catch` allows the permit to fail and makes the code tolerant to frontrunning. (See also
                       * {SafeERC20-safeTransferFrom}).
                       *
                       * Additionally, note that smart contract wallets (such as Argent or Safe) are not able to produce permit signatures, so
                       * contracts should have entry points that don't rely on permit.
                       */
                      interface IERC20Permit {
                          /**
                           * @dev Sets `value` as the allowance of `spender` over ``owner``'s tokens,
                           * given ``owner``'s signed approval.
                           *
                           * IMPORTANT: The same issues {IERC20-approve} has related to transaction
                           * ordering also apply here.
                           *
                           * Emits an {Approval} event.
                           *
                           * Requirements:
                           *
                           * - `spender` cannot be the zero address.
                           * - `deadline` must be a timestamp in the future.
                           * - `v`, `r` and `s` must be a valid `secp256k1` signature from `owner`
                           * over the EIP712-formatted function arguments.
                           * - the signature must use ``owner``'s current nonce (see {nonces}).
                           *
                           * For more information on the signature format, see the
                           * https://eips.ethereum.org/EIPS/eip-2612#specification[relevant EIP
                           * section].
                           *
                           * CAUTION: See Security Considerations above.
                           */
                          function permit(
                              address owner,
                              address spender,
                              uint256 value,
                              uint256 deadline,
                              uint8 v,
                              bytes32 r,
                              bytes32 s
                          ) external;
                          /**
                           * @dev Returns the current nonce for `owner`. This value must be
                           * included whenever a signature is generated for {permit}.
                           *
                           * Every successful call to {permit} increases ``owner``'s nonce by one. This
                           * prevents a signature from being used multiple times.
                           */
                          function nonces(address owner) external view returns (uint256);
                          /**
                           * @dev Returns the domain separator used in the encoding of the signature for {permit}, as defined by {EIP712}.
                           */
                          // solhint-disable-next-line func-name-mixedcase
                          function DOMAIN_SEPARATOR() external view returns (bytes32);
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (interfaces/draft-IERC6093.sol)
                      pragma solidity ^0.8.20;
                      /**
                       * @dev Standard ERC20 Errors
                       * Interface of the https://eips.ethereum.org/EIPS/eip-6093[ERC-6093] custom errors for ERC20 tokens.
                       */
                      interface IERC20Errors {
                          /**
                           * @dev Indicates an error related to the current `balance` of a `sender`. Used in transfers.
                           * @param sender Address whose tokens are being transferred.
                           * @param balance Current balance for the interacting account.
                           * @param needed Minimum amount required to perform a transfer.
                           */
                          error ERC20InsufficientBalance(address sender, uint256 balance, uint256 needed);
                          /**
                           * @dev Indicates a failure with the token `sender`. Used in transfers.
                           * @param sender Address whose tokens are being transferred.
                           */
                          error ERC20InvalidSender(address sender);
                          /**
                           * @dev Indicates a failure with the token `receiver`. Used in transfers.
                           * @param receiver Address to which tokens are being transferred.
                           */
                          error ERC20InvalidReceiver(address receiver);
                          /**
                           * @dev Indicates a failure with the `spender`’s `allowance`. Used in transfers.
                           * @param spender Address that may be allowed to operate on tokens without being their owner.
                           * @param allowance Amount of tokens a `spender` is allowed to operate with.
                           * @param needed Minimum amount required to perform a transfer.
                           */
                          error ERC20InsufficientAllowance(address spender, uint256 allowance, uint256 needed);
                          /**
                           * @dev Indicates a failure with the `approver` of a token to be approved. Used in approvals.
                           * @param approver Address initiating an approval operation.
                           */
                          error ERC20InvalidApprover(address approver);
                          /**
                           * @dev Indicates a failure with the `spender` to be approved. Used in approvals.
                           * @param spender Address that may be allowed to operate on tokens without being their owner.
                           */
                          error ERC20InvalidSpender(address spender);
                      }
                      /**
                       * @dev Standard ERC721 Errors
                       * Interface of the https://eips.ethereum.org/EIPS/eip-6093[ERC-6093] custom errors for ERC721 tokens.
                       */
                      interface IERC721Errors {
                          /**
                           * @dev Indicates that an address can't be an owner. For example, `address(0)` is a forbidden owner in EIP-20.
                           * Used in balance queries.
                           * @param owner Address of the current owner of a token.
                           */
                          error ERC721InvalidOwner(address owner);
                          /**
                           * @dev Indicates a `tokenId` whose `owner` is the zero address.
                           * @param tokenId Identifier number of a token.
                           */
                          error ERC721NonexistentToken(uint256 tokenId);
                          /**
                           * @dev Indicates an error related to the ownership over a particular token. Used in transfers.
                           * @param sender Address whose tokens are being transferred.
                           * @param tokenId Identifier number of a token.
                           * @param owner Address of the current owner of a token.
                           */
                          error ERC721IncorrectOwner(address sender, uint256 tokenId, address owner);
                          /**
                           * @dev Indicates a failure with the token `sender`. Used in transfers.
                           * @param sender Address whose tokens are being transferred.
                           */
                          error ERC721InvalidSender(address sender);
                          /**
                           * @dev Indicates a failure with the token `receiver`. Used in transfers.
                           * @param receiver Address to which tokens are being transferred.
                           */
                          error ERC721InvalidReceiver(address receiver);
                          /**
                           * @dev Indicates a failure with the `operator`’s approval. Used in transfers.
                           * @param operator Address that may be allowed to operate on tokens without being their owner.
                           * @param tokenId Identifier number of a token.
                           */
                          error ERC721InsufficientApproval(address operator, uint256 tokenId);
                          /**
                           * @dev Indicates a failure with the `approver` of a token to be approved. Used in approvals.
                           * @param approver Address initiating an approval operation.
                           */
                          error ERC721InvalidApprover(address approver);
                          /**
                           * @dev Indicates a failure with the `operator` to be approved. Used in approvals.
                           * @param operator Address that may be allowed to operate on tokens without being their owner.
                           */
                          error ERC721InvalidOperator(address operator);
                      }
                      /**
                       * @dev Standard ERC1155 Errors
                       * Interface of the https://eips.ethereum.org/EIPS/eip-6093[ERC-6093] custom errors for ERC1155 tokens.
                       */
                      interface IERC1155Errors {
                          /**
                           * @dev Indicates an error related to the current `balance` of a `sender`. Used in transfers.
                           * @param sender Address whose tokens are being transferred.
                           * @param balance Current balance for the interacting account.
                           * @param needed Minimum amount required to perform a transfer.
                           * @param tokenId Identifier number of a token.
                           */
                          error ERC1155InsufficientBalance(address sender, uint256 balance, uint256 needed, uint256 tokenId);
                          /**
                           * @dev Indicates a failure with the token `sender`. Used in transfers.
                           * @param sender Address whose tokens are being transferred.
                           */
                          error ERC1155InvalidSender(address sender);
                          /**
                           * @dev Indicates a failure with the token `receiver`. Used in transfers.
                           * @param receiver Address to which tokens are being transferred.
                           */
                          error ERC1155InvalidReceiver(address receiver);
                          /**
                           * @dev Indicates a failure with the `operator`’s approval. Used in transfers.
                           * @param operator Address that may be allowed to operate on tokens without being their owner.
                           * @param owner Address of the current owner of a token.
                           */
                          error ERC1155MissingApprovalForAll(address operator, address owner);
                          /**
                           * @dev Indicates a failure with the `approver` of a token to be approved. Used in approvals.
                           * @param approver Address initiating an approval operation.
                           */
                          error ERC1155InvalidApprover(address approver);
                          /**
                           * @dev Indicates a failure with the `operator` to be approved. Used in approvals.
                           * @param operator Address that may be allowed to operate on tokens without being their owner.
                           */
                          error ERC1155InvalidOperator(address operator);
                          /**
                           * @dev Indicates an array length mismatch between ids and values in a safeBatchTransferFrom operation.
                           * Used in batch transfers.
                           * @param idsLength Length of the array of token identifiers
                           * @param valuesLength Length of the array of token amounts
                           */
                          error ERC1155InvalidArrayLength(uint256 idsLength, uint256 valuesLength);
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.1) (utils/Context.sol)
                      pragma solidity ^0.8.20;
                      /**
                       * @dev Provides information about the current execution context, including the
                       * sender of the transaction and its data. While these are generally available
                       * via msg.sender and msg.data, they should not be accessed in such a direct
                       * manner, since when dealing with meta-transactions the account sending and
                       * paying for execution may not be the actual sender (as far as an application
                       * is concerned).
                       *
                       * This contract is only required for intermediate, library-like contracts.
                       */
                      abstract contract Context {
                          function _msgSender() internal view virtual returns (address) {
                              return msg.sender;
                          }
                          function _msgData() internal view virtual returns (bytes calldata) {
                              return msg.data;
                          }
                          function _contextSuffixLength() internal view virtual returns (uint256) {
                              return 0;
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (token/ERC20/extensions/IERC20Metadata.sol)
                      pragma solidity ^0.8.20;
                      import {IERC20} from "../IERC20.sol";
                      /**
                       * @dev Interface for the optional metadata functions from the ERC20 standard.
                       */
                      interface IERC20Metadata is IERC20 {
                          /**
                           * @dev Returns the name of the token.
                           */
                          function name() external view returns (string memory);
                          /**
                           * @dev Returns the symbol of the token.
                           */
                          function symbol() external view returns (string memory);
                          /**
                           * @dev Returns the decimals places of the token.
                           */
                          function decimals() external view returns (uint8);
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (token/ERC20/IERC20.sol)
                      pragma solidity ^0.8.20;
                      /**
                       * @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 value of tokens in existence.
                           */
                          function totalSupply() external view returns (uint256);
                          /**
                           * @dev Returns the value of tokens owned by `account`.
                           */
                          function balanceOf(address account) external view returns (uint256);
                          /**
                           * @dev Moves a `value` amount of 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 value) 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 a `value` amount of tokens 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 value) external returns (bool);
                          /**
                           * @dev Moves a `value` amount of tokens from `from` to `to` using the
                           * allowance mechanism. `value` 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 value) external returns (bool);
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (utils/math/Math.sol)
                      pragma solidity ^0.8.20;
                      /**
                       * @dev Standard math utilities missing in the Solidity language.
                       */
                      library Math {
                          /**
                           * @dev Muldiv operation overflow.
                           */
                          error MathOverflowedMulDiv();
                          enum Rounding {
                              Floor, // Toward negative infinity
                              Ceil, // Toward positive infinity
                              Trunc, // Toward zero
                              Expand // Away from zero
                          }
                          /**
                           * @dev Returns the addition of two unsigned integers, with an overflow flag.
                           */
                          function tryAdd(uint256 a, uint256 b) internal pure returns (bool, uint256) {
                              unchecked {
                                  uint256 c = a + b;
                                  if (c < a) return (false, 0);
                                  return (true, c);
                              }
                          }
                          /**
                           * @dev Returns the subtraction of two unsigned integers, with an overflow flag.
                           */
                          function trySub(uint256 a, uint256 b) internal pure returns (bool, uint256) {
                              unchecked {
                                  if (b > a) return (false, 0);
                                  return (true, a - b);
                              }
                          }
                          /**
                           * @dev Returns the multiplication of two unsigned integers, with an overflow flag.
                           */
                          function tryMul(uint256 a, uint256 b) internal pure returns (bool, uint256) {
                              unchecked {
                                  // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
                                  // benefit is lost if 'b' is also tested.
                                  // See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522
                                  if (a == 0) return (true, 0);
                                  uint256 c = a * b;
                                  if (c / a != b) return (false, 0);
                                  return (true, c);
                              }
                          }
                          /**
                           * @dev Returns the division of two unsigned integers, with a division by zero flag.
                           */
                          function tryDiv(uint256 a, uint256 b) internal pure returns (bool, uint256) {
                              unchecked {
                                  if (b == 0) return (false, 0);
                                  return (true, a / b);
                              }
                          }
                          /**
                           * @dev Returns the remainder of dividing two unsigned integers, with a division by zero flag.
                           */
                          function tryMod(uint256 a, uint256 b) internal pure returns (bool, uint256) {
                              unchecked {
                                  if (b == 0) return (false, 0);
                                  return (true, a % b);
                              }
                          }
                          /**
                           * @dev Returns the largest of two numbers.
                           */
                          function max(uint256 a, uint256 b) internal pure returns (uint256) {
                              return a > b ? a : b;
                          }
                          /**
                           * @dev Returns the smallest of two numbers.
                           */
                          function min(uint256 a, uint256 b) internal pure returns (uint256) {
                              return a < b ? a : b;
                          }
                          /**
                           * @dev Returns the average of two numbers. The result is rounded towards
                           * zero.
                           */
                          function average(uint256 a, uint256 b) internal pure returns (uint256) {
                              // (a + b) / 2 can overflow.
                              return (a & b) + (a ^ b) / 2;
                          }
                          /**
                           * @dev Returns the ceiling of the division of two numbers.
                           *
                           * This differs from standard division with `/` in that it rounds towards infinity instead
                           * of rounding towards zero.
                           */
                          function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) {
                              if (b == 0) {
                                  // Guarantee the same behavior as in a regular Solidity division.
                                  return a / b;
                              }
                              // (a + b - 1) / b can overflow on addition, so we distribute.
                              return a == 0 ? 0 : (a - 1) / b + 1;
                          }
                          /**
                           * @notice Calculates floor(x * y / denominator) with full precision. Throws if result overflows a uint256 or
                           * denominator == 0.
                           * @dev Original credit to Remco Bloemen under MIT license (https://xn--2-umb.com/21/muldiv) with further edits by
                           * Uniswap Labs also under MIT license.
                           */
                          function mulDiv(uint256 x, uint256 y, uint256 denominator) internal pure returns (uint256 result) {
                              unchecked {
                                  // 512-bit multiply [prod1 prod0] = x * y. Compute the product mod 2^256 and mod 2^256 - 1, then use
                                  // 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 = x * y; // Least significant 256 bits of the product
                                  uint256 prod1; // Most significant 256 bits of the product
                                  assembly {
                                      let mm := mulmod(x, y, not(0))
                                      prod1 := sub(sub(mm, prod0), lt(mm, prod0))
                                  }
                                  // Handle non-overflow cases, 256 by 256 division.
                                  if (prod1 == 0) {
                                      // Solidity will revert if denominator == 0, unlike the div opcode on its own.
                                      // The surrounding unchecked block does not change this fact.
                                      // See https://docs.soliditylang.org/en/latest/control-structures.html#checked-or-unchecked-arithmetic.
                                      return prod0 / denominator;
                                  }
                                  // Make sure the result is less than 2^256. Also prevents denominator == 0.
                                  if (denominator <= prod1) {
                                      revert MathOverflowedMulDiv();
                                  }
                                  ///////////////////////////////////////////////
                                  // 512 by 256 division.
                                  ///////////////////////////////////////////////
                                  // Make division exact by subtracting the remainder from [prod1 prod0].
                                  uint256 remainder;
                                  assembly {
                                      // Compute remainder using mulmod.
                                      remainder := mulmod(x, y, denominator)
                                      // Subtract 256 bit number from 512 bit number.
                                      prod1 := sub(prod1, gt(remainder, prod0))
                                      prod0 := sub(prod0, remainder)
                                  }
                                  // Factor powers of two out of denominator and compute largest power of two divisor of denominator.
                                  // Always >= 1. See https://cs.stackexchange.com/q/138556/92363.
                                  uint256 twos = denominator & (0 - denominator);
                                  assembly {
                                      // Divide denominator by twos.
                                      denominator := div(denominator, twos)
                                      // Divide [prod1 prod0] by twos.
                                      prod0 := div(prod0, twos)
                                      // Flip twos such that it is 2^256 / twos. If twos is zero, then it becomes one.
                                      twos := add(div(sub(0, twos), twos), 1)
                                  }
                                  // Shift in bits from prod1 into prod0.
                                  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 for
                                  // four bits. That is, denominator * inv = 1 mod 2^4.
                                  uint256 inverse = (3 * denominator) ^ 2;
                                  // Use the 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.
                                  inverse *= 2 - denominator * inverse; // inverse mod 2^8
                                  inverse *= 2 - denominator * inverse; // inverse mod 2^16
                                  inverse *= 2 - denominator * inverse; // inverse mod 2^32
                                  inverse *= 2 - denominator * inverse; // inverse mod 2^64
                                  inverse *= 2 - denominator * inverse; // inverse mod 2^128
                                  inverse *= 2 - denominator * inverse; // 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 preconditions 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 * inverse;
                                  return result;
                              }
                          }
                          /**
                           * @notice Calculates x * y / denominator with full precision, following the selected rounding direction.
                           */
                          function mulDiv(uint256 x, uint256 y, uint256 denominator, Rounding rounding) internal pure returns (uint256) {
                              uint256 result = mulDiv(x, y, denominator);
                              if (unsignedRoundsUp(rounding) && mulmod(x, y, denominator) > 0) {
                                  result += 1;
                              }
                              return result;
                          }
                          /**
                           * @dev Returns the square root of a number. If the number is not a perfect square, the value is rounded
                           * towards zero.
                           *
                           * Inspired by Henry S. Warren, Jr.'s "Hacker's Delight" (Chapter 11).
                           */
                          function sqrt(uint256 a) internal pure returns (uint256) {
                              if (a == 0) {
                                  return 0;
                              }
                              // For our first guess, we get the biggest power of 2 which is smaller than the square root of the target.
                              //
                              // We know that the "msb" (most significant bit) of our target number `a` is a power of 2 such that we have
                              // `msb(a) <= a < 2*msb(a)`. This value can be written `msb(a)=2**k` with `k=log2(a)`.
                              //
                              // This can be rewritten `2**log2(a) <= a < 2**(log2(a) + 1)`
                              // → `sqrt(2**k) <= sqrt(a) < sqrt(2**(k+1))`
                              // → `2**(k/2) <= sqrt(a) < 2**((k+1)/2) <= 2**(k/2 + 1)`
                              //
                              // Consequently, `2**(log2(a) / 2)` is a good first approximation of `sqrt(a)` with at least 1 correct bit.
                              uint256 result = 1 << (log2(a) >> 1);
                              // At this point `result` is an estimation with one bit of precision. We know the true value is a uint128,
                              // since it is the square root of a uint256. Newton's method converges quadratically (precision doubles at
                              // every iteration). We thus need at most 7 iteration to turn our partial result with one bit of precision
                              // into the expected uint128 result.
                              unchecked {
                                  result = (result + a / result) >> 1;
                                  result = (result + a / result) >> 1;
                                  result = (result + a / result) >> 1;
                                  result = (result + a / result) >> 1;
                                  result = (result + a / result) >> 1;
                                  result = (result + a / result) >> 1;
                                  result = (result + a / result) >> 1;
                                  return min(result, a / result);
                              }
                          }
                          /**
                           * @notice Calculates sqrt(a), following the selected rounding direction.
                           */
                          function sqrt(uint256 a, Rounding rounding) internal pure returns (uint256) {
                              unchecked {
                                  uint256 result = sqrt(a);
                                  return result + (unsignedRoundsUp(rounding) && result * result < a ? 1 : 0);
                              }
                          }
                          /**
                           * @dev Return the log in base 2 of a positive value rounded towards zero.
                           * Returns 0 if given 0.
                           */
                          function log2(uint256 value) internal pure returns (uint256) {
                              uint256 result = 0;
                              unchecked {
                                  if (value >> 128 > 0) {
                                      value >>= 128;
                                      result += 128;
                                  }
                                  if (value >> 64 > 0) {
                                      value >>= 64;
                                      result += 64;
                                  }
                                  if (value >> 32 > 0) {
                                      value >>= 32;
                                      result += 32;
                                  }
                                  if (value >> 16 > 0) {
                                      value >>= 16;
                                      result += 16;
                                  }
                                  if (value >> 8 > 0) {
                                      value >>= 8;
                                      result += 8;
                                  }
                                  if (value >> 4 > 0) {
                                      value >>= 4;
                                      result += 4;
                                  }
                                  if (value >> 2 > 0) {
                                      value >>= 2;
                                      result += 2;
                                  }
                                  if (value >> 1 > 0) {
                                      result += 1;
                                  }
                              }
                              return result;
                          }
                          /**
                           * @dev Return the log in base 2, following the selected rounding direction, of a positive value.
                           * Returns 0 if given 0.
                           */
                          function log2(uint256 value, Rounding rounding) internal pure returns (uint256) {
                              unchecked {
                                  uint256 result = log2(value);
                                  return result + (unsignedRoundsUp(rounding) && 1 << result < value ? 1 : 0);
                              }
                          }
                          /**
                           * @dev Return the log in base 10 of a positive value rounded towards zero.
                           * Returns 0 if given 0.
                           */
                          function log10(uint256 value) internal pure returns (uint256) {
                              uint256 result = 0;
                              unchecked {
                                  if (value >= 10 ** 64) {
                                      value /= 10 ** 64;
                                      result += 64;
                                  }
                                  if (value >= 10 ** 32) {
                                      value /= 10 ** 32;
                                      result += 32;
                                  }
                                  if (value >= 10 ** 16) {
                                      value /= 10 ** 16;
                                      result += 16;
                                  }
                                  if (value >= 10 ** 8) {
                                      value /= 10 ** 8;
                                      result += 8;
                                  }
                                  if (value >= 10 ** 4) {
                                      value /= 10 ** 4;
                                      result += 4;
                                  }
                                  if (value >= 10 ** 2) {
                                      value /= 10 ** 2;
                                      result += 2;
                                  }
                                  if (value >= 10 ** 1) {
                                      result += 1;
                                  }
                              }
                              return result;
                          }
                          /**
                           * @dev Return the log in base 10, following the selected rounding direction, of a positive value.
                           * Returns 0 if given 0.
                           */
                          function log10(uint256 value, Rounding rounding) internal pure returns (uint256) {
                              unchecked {
                                  uint256 result = log10(value);
                                  return result + (unsignedRoundsUp(rounding) && 10 ** result < value ? 1 : 0);
                              }
                          }
                          /**
                           * @dev Return the log in base 256 of a positive value rounded towards zero.
                           * Returns 0 if given 0.
                           *
                           * Adding one to the result gives the number of pairs of hex symbols needed to represent `value` as a hex string.
                           */
                          function log256(uint256 value) internal pure returns (uint256) {
                              uint256 result = 0;
                              unchecked {
                                  if (value >> 128 > 0) {
                                      value >>= 128;
                                      result += 16;
                                  }
                                  if (value >> 64 > 0) {
                                      value >>= 64;
                                      result += 8;
                                  }
                                  if (value >> 32 > 0) {
                                      value >>= 32;
                                      result += 4;
                                  }
                                  if (value >> 16 > 0) {
                                      value >>= 16;
                                      result += 2;
                                  }
                                  if (value >> 8 > 0) {
                                      result += 1;
                                  }
                              }
                              return result;
                          }
                          /**
                           * @dev Return the log in base 256, following the selected rounding direction, of a positive value.
                           * Returns 0 if given 0.
                           */
                          function log256(uint256 value, Rounding rounding) internal pure returns (uint256) {
                              unchecked {
                                  uint256 result = log256(value);
                                  return result + (unsignedRoundsUp(rounding) && 1 << (result << 3) < value ? 1 : 0);
                              }
                          }
                          /**
                           * @dev Returns whether a provided rounding mode is considered rounding up for unsigned integers.
                           */
                          function unsignedRoundsUp(Rounding rounding) internal pure returns (bool) {
                              return uint8(rounding) % 2 == 1;
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (interfaces/IERC5267.sol)
                      pragma solidity ^0.8.20;
                      interface IERC5267 {
                          /**
                           * @dev MAY be emitted to signal that the domain could have changed.
                           */
                          event EIP712DomainChanged();
                          /**
                           * @dev returns the fields and values that describe the domain separator used by this contract for EIP-712
                           * signature.
                           */
                          function eip712Domain()
                              external
                              view
                              returns (
                                  bytes1 fields,
                                  string memory name,
                                  string memory version,
                                  uint256 chainId,
                                  address verifyingContract,
                                  bytes32 salt,
                                  uint256[] memory extensions
                              );
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (utils/ShortStrings.sol)
                      pragma solidity ^0.8.20;
                      import {StorageSlot} from "./StorageSlot.sol";
                      // | string  | 0xAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA   |
                      // | length  | 0x                                                              BB |
                      type ShortString is bytes32;
                      /**
                       * @dev This library provides functions to convert short memory strings
                       * into a `ShortString` type that can be used as an immutable variable.
                       *
                       * Strings of arbitrary length can be optimized using this library if
                       * they are short enough (up to 31 bytes) by packing them with their
                       * length (1 byte) in a single EVM word (32 bytes). Additionally, a
                       * fallback mechanism can be used for every other case.
                       *
                       * Usage example:
                       *
                       * ```solidity
                       * contract Named {
                       *     using ShortStrings for *;
                       *
                       *     ShortString private immutable _name;
                       *     string private _nameFallback;
                       *
                       *     constructor(string memory contractName) {
                       *         _name = contractName.toShortStringWithFallback(_nameFallback);
                       *     }
                       *
                       *     function name() external view returns (string memory) {
                       *         return _name.toStringWithFallback(_nameFallback);
                       *     }
                       * }
                       * ```
                       */
                      library ShortStrings {
                          // Used as an identifier for strings longer than 31 bytes.
                          bytes32 private constant FALLBACK_SENTINEL = 0x00000000000000000000000000000000000000000000000000000000000000FF;
                          error StringTooLong(string str);
                          error InvalidShortString();
                          /**
                           * @dev Encode a string of at most 31 chars into a `ShortString`.
                           *
                           * This will trigger a `StringTooLong` error is the input string is too long.
                           */
                          function toShortString(string memory str) internal pure returns (ShortString) {
                              bytes memory bstr = bytes(str);
                              if (bstr.length > 31) {
                                  revert StringTooLong(str);
                              }
                              return ShortString.wrap(bytes32(uint256(bytes32(bstr)) | bstr.length));
                          }
                          /**
                           * @dev Decode a `ShortString` back to a "normal" string.
                           */
                          function toString(ShortString sstr) internal pure returns (string memory) {
                              uint256 len = byteLength(sstr);
                              // using `new string(len)` would work locally but is not memory safe.
                              string memory str = new string(32);
                              /// @solidity memory-safe-assembly
                              assembly {
                                  mstore(str, len)
                                  mstore(add(str, 0x20), sstr)
                              }
                              return str;
                          }
                          /**
                           * @dev Return the length of a `ShortString`.
                           */
                          function byteLength(ShortString sstr) internal pure returns (uint256) {
                              uint256 result = uint256(ShortString.unwrap(sstr)) & 0xFF;
                              if (result > 31) {
                                  revert InvalidShortString();
                              }
                              return result;
                          }
                          /**
                           * @dev Encode a string into a `ShortString`, or write it to storage if it is too long.
                           */
                          function toShortStringWithFallback(string memory value, string storage store) internal returns (ShortString) {
                              if (bytes(value).length < 32) {
                                  return toShortString(value);
                              } else {
                                  StorageSlot.getStringSlot(store).value = value;
                                  return ShortString.wrap(FALLBACK_SENTINEL);
                              }
                          }
                          /**
                           * @dev Decode a string that was encoded to `ShortString` or written to storage using {setWithFallback}.
                           */
                          function toStringWithFallback(ShortString value, string storage store) internal pure returns (string memory) {
                              if (ShortString.unwrap(value) != FALLBACK_SENTINEL) {
                                  return toString(value);
                              } else {
                                  return store;
                              }
                          }
                          /**
                           * @dev Return the length of a string that was encoded to `ShortString` or written to storage using
                           * {setWithFallback}.
                           *
                           * WARNING: This will return the "byte length" of the string. This may not reflect the actual length in terms of
                           * actual characters as the UTF-8 encoding of a single character can span over multiple bytes.
                           */
                          function byteLengthWithFallback(ShortString value, string storage store) internal view returns (uint256) {
                              if (ShortString.unwrap(value) != FALLBACK_SENTINEL) {
                                  return byteLength(value);
                              } else {
                                  return bytes(store).length;
                              }
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (utils/cryptography/MessageHashUtils.sol)
                      pragma solidity ^0.8.20;
                      import {Strings} from "../Strings.sol";
                      /**
                       * @dev Signature message hash utilities for producing digests to be consumed by {ECDSA} recovery or signing.
                       *
                       * The library provides methods for generating a hash of a message that conforms to the
                       * https://eips.ethereum.org/EIPS/eip-191[EIP 191] and https://eips.ethereum.org/EIPS/eip-712[EIP 712]
                       * specifications.
                       */
                      library MessageHashUtils {
                          /**
                           * @dev Returns the keccak256 digest of an EIP-191 signed data with version
                           * `0x45` (`personal_sign` messages).
                           *
                           * The digest is calculated by prefixing a bytes32 `messageHash` with
                           * `"\\x19Ethereum Signed Message:\
                      32"` and hashing the result. It corresponds with the
                           * hash signed when using the https://eth.wiki/json-rpc/API#eth_sign[`eth_sign`] JSON-RPC method.
                           *
                           * NOTE: The `messageHash` parameter is intended to be the result of hashing a raw message with
                           * keccak256, although any bytes32 value can be safely used because the final digest will
                           * be re-hashed.
                           *
                           * See {ECDSA-recover}.
                           */
                          function toEthSignedMessageHash(bytes32 messageHash) internal pure returns (bytes32 digest) {
                              /// @solidity memory-safe-assembly
                              assembly {
                                  mstore(0x00, "\\x19Ethereum Signed Message:\
                      32") // 32 is the bytes-length of messageHash
                                  mstore(0x1c, messageHash) // 0x1c (28) is the length of the prefix
                                  digest := keccak256(0x00, 0x3c) // 0x3c is the length of the prefix (0x1c) + messageHash (0x20)
                              }
                          }
                          /**
                           * @dev Returns the keccak256 digest of an EIP-191 signed data with version
                           * `0x45` (`personal_sign` messages).
                           *
                           * The digest is calculated by prefixing an arbitrary `message` with
                           * `"\\x19Ethereum Signed Message:\
                      " + len(message)` and hashing the result. It corresponds with the
                           * hash signed when using the https://eth.wiki/json-rpc/API#eth_sign[`eth_sign`] JSON-RPC method.
                           *
                           * See {ECDSA-recover}.
                           */
                          function toEthSignedMessageHash(bytes memory message) internal pure returns (bytes32) {
                              return
                                  keccak256(bytes.concat("\\x19Ethereum Signed Message:\
                      ", bytes(Strings.toString(message.length)), message));
                          }
                          /**
                           * @dev Returns the keccak256 digest of an EIP-191 signed data with version
                           * `0x00` (data with intended validator).
                           *
                           * The digest is calculated by prefixing an arbitrary `data` with `"\\x19\\x00"` and the intended
                           * `validator` address. Then hashing the result.
                           *
                           * See {ECDSA-recover}.
                           */
                          function toDataWithIntendedValidatorHash(address validator, bytes memory data) internal pure returns (bytes32) {
                              return keccak256(abi.encodePacked(hex"19_00", validator, data));
                          }
                          /**
                           * @dev Returns the keccak256 digest of an EIP-712 typed data (EIP-191 version `0x01`).
                           *
                           * The digest is calculated from a `domainSeparator` and a `structHash`, by prefixing them with
                           * `\\x19\\x01` and hashing the result. It corresponds to the hash signed by the
                           * https://eips.ethereum.org/EIPS/eip-712[`eth_signTypedData`] JSON-RPC method as part of EIP-712.
                           *
                           * See {ECDSA-recover}.
                           */
                          function toTypedDataHash(bytes32 domainSeparator, bytes32 structHash) internal pure returns (bytes32 digest) {
                              /// @solidity memory-safe-assembly
                              assembly {
                                  let ptr := mload(0x40)
                                  mstore(ptr, hex"19_01")
                                  mstore(add(ptr, 0x02), domainSeparator)
                                  mstore(add(ptr, 0x22), structHash)
                                  digest := keccak256(ptr, 0x42)
                              }
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (utils/types/Time.sol)
                      pragma solidity ^0.8.20;
                      import {Math} from "../math/Math.sol";
                      import {SafeCast} from "../math/SafeCast.sol";
                      /**
                       * @dev This library provides helpers for manipulating time-related objects.
                       *
                       * It uses the following types:
                       * - `uint48` for timepoints
                       * - `uint32` for durations
                       *
                       * While the library doesn't provide specific types for timepoints and duration, it does provide:
                       * - a `Delay` type to represent duration that can be programmed to change value automatically at a given point
                       * - additional helper functions
                       */
                      library Time {
                          using Time for *;
                          /**
                           * @dev Get the block timestamp as a Timepoint.
                           */
                          function timestamp() internal view returns (uint48) {
                              return SafeCast.toUint48(block.timestamp);
                          }
                          /**
                           * @dev Get the block number as a Timepoint.
                           */
                          function blockNumber() internal view returns (uint48) {
                              return SafeCast.toUint48(block.number);
                          }
                          // ==================================================== Delay =====================================================
                          /**
                           * @dev A `Delay` is a uint32 duration that can be programmed to change value automatically at a given point in the
                           * future. The "effect" timepoint describes when the transitions happens from the "old" value to the "new" value.
                           * This allows updating the delay applied to some operation while keeping some guarantees.
                           *
                           * In particular, the {update} function guarantees that if the delay is reduced, the old delay still applies for
                           * some time. For example if the delay is currently 7 days to do an upgrade, the admin should not be able to set
                           * the delay to 0 and upgrade immediately. If the admin wants to reduce the delay, the old delay (7 days) should
                           * still apply for some time.
                           *
                           *
                           * The `Delay` type is 112 bits long, and packs the following:
                           *
                           * ```
                           *   | [uint48]: effect date (timepoint)
                           *   |           | [uint32]: value before (duration)
                           *   ↓           ↓       ↓ [uint32]: value after (duration)
                           * 0xAAAAAAAAAAAABBBBBBBBCCCCCCCC
                           * ```
                           *
                           * NOTE: The {get} and {withUpdate} functions operate using timestamps. Block number based delays are not currently
                           * supported.
                           */
                          type Delay is uint112;
                          /**
                           * @dev Wrap a duration into a Delay to add the one-step "update in the future" feature
                           */
                          function toDelay(uint32 duration) internal pure returns (Delay) {
                              return Delay.wrap(duration);
                          }
                          /**
                           * @dev Get the value at a given timepoint plus the pending value and effect timepoint if there is a scheduled
                           * change after this timepoint. If the effect timepoint is 0, then the pending value should not be considered.
                           */
                          function _getFullAt(Delay self, uint48 timepoint) private pure returns (uint32, uint32, uint48) {
                              (uint32 valueBefore, uint32 valueAfter, uint48 effect) = self.unpack();
                              return effect <= timepoint ? (valueAfter, 0, 0) : (valueBefore, valueAfter, effect);
                          }
                          /**
                           * @dev Get the current value plus the pending value and effect timepoint if there is a scheduled change. If the
                           * effect timepoint is 0, then the pending value should not be considered.
                           */
                          function getFull(Delay self) internal view returns (uint32, uint32, uint48) {
                              return _getFullAt(self, timestamp());
                          }
                          /**
                           * @dev Get the current value.
                           */
                          function get(Delay self) internal view returns (uint32) {
                              (uint32 delay, , ) = self.getFull();
                              return delay;
                          }
                          /**
                           * @dev Update a Delay object so that it takes a new duration after a timepoint that is automatically computed to
                           * enforce the old delay at the moment of the update. Returns the updated Delay object and the timestamp when the
                           * new delay becomes effective.
                           */
                          function withUpdate(
                              Delay self,
                              uint32 newValue,
                              uint32 minSetback
                          ) internal view returns (Delay updatedDelay, uint48 effect) {
                              uint32 value = self.get();
                              uint32 setback = uint32(Math.max(minSetback, value > newValue ? value - newValue : 0));
                              effect = timestamp() + setback;
                              return (pack(value, newValue, effect), effect);
                          }
                          /**
                           * @dev Split a delay into its components: valueBefore, valueAfter and effect (transition timepoint).
                           */
                          function unpack(Delay self) internal pure returns (uint32 valueBefore, uint32 valueAfter, uint48 effect) {
                              uint112 raw = Delay.unwrap(self);
                              valueAfter = uint32(raw);
                              valueBefore = uint32(raw >> 32);
                              effect = uint48(raw >> 64);
                              return (valueBefore, valueAfter, effect);
                          }
                          /**
                           * @dev pack the components into a Delay object.
                           */
                          function pack(uint32 valueBefore, uint32 valueAfter, uint48 effect) internal pure returns (Delay) {
                              return Delay.wrap((uint112(effect) << 64) | (uint112(valueBefore) << 32) | uint112(valueAfter));
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (utils/math/SafeCast.sol)
                      // This file was procedurally generated from scripts/generate/templates/SafeCast.js.
                      pragma solidity ^0.8.20;
                      /**
                       * @dev Wrappers over Solidity's uintXX/intXX casting operators with added overflow
                       * checks.
                       *
                       * Downcasting from uint256/int256 in Solidity does not revert on overflow. This can
                       * easily result in undesired exploitation or bugs, since developers usually
                       * assume that overflows raise errors. `SafeCast` restores this intuition by
                       * reverting the transaction when such an operation overflows.
                       *
                       * Using this library instead of the unchecked operations eliminates an entire
                       * class of bugs, so it's recommended to use it always.
                       */
                      library SafeCast {
                          /**
                           * @dev Value doesn't fit in an uint of `bits` size.
                           */
                          error SafeCastOverflowedUintDowncast(uint8 bits, uint256 value);
                          /**
                           * @dev An int value doesn't fit in an uint of `bits` size.
                           */
                          error SafeCastOverflowedIntToUint(int256 value);
                          /**
                           * @dev Value doesn't fit in an int of `bits` size.
                           */
                          error SafeCastOverflowedIntDowncast(uint8 bits, int256 value);
                          /**
                           * @dev An uint value doesn't fit in an int of `bits` size.
                           */
                          error SafeCastOverflowedUintToInt(uint256 value);
                          /**
                           * @dev Returns the downcasted uint248 from uint256, reverting on
                           * overflow (when the input is greater than largest uint248).
                           *
                           * Counterpart to Solidity's `uint248` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 248 bits
                           */
                          function toUint248(uint256 value) internal pure returns (uint248) {
                              if (value > type(uint248).max) {
                                  revert SafeCastOverflowedUintDowncast(248, value);
                              }
                              return uint248(value);
                          }
                          /**
                           * @dev Returns the downcasted uint240 from uint256, reverting on
                           * overflow (when the input is greater than largest uint240).
                           *
                           * Counterpart to Solidity's `uint240` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 240 bits
                           */
                          function toUint240(uint256 value) internal pure returns (uint240) {
                              if (value > type(uint240).max) {
                                  revert SafeCastOverflowedUintDowncast(240, value);
                              }
                              return uint240(value);
                          }
                          /**
                           * @dev Returns the downcasted uint232 from uint256, reverting on
                           * overflow (when the input is greater than largest uint232).
                           *
                           * Counterpart to Solidity's `uint232` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 232 bits
                           */
                          function toUint232(uint256 value) internal pure returns (uint232) {
                              if (value > type(uint232).max) {
                                  revert SafeCastOverflowedUintDowncast(232, value);
                              }
                              return uint232(value);
                          }
                          /**
                           * @dev Returns the downcasted uint224 from uint256, reverting on
                           * overflow (when the input is greater than largest uint224).
                           *
                           * Counterpart to Solidity's `uint224` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 224 bits
                           */
                          function toUint224(uint256 value) internal pure returns (uint224) {
                              if (value > type(uint224).max) {
                                  revert SafeCastOverflowedUintDowncast(224, value);
                              }
                              return uint224(value);
                          }
                          /**
                           * @dev Returns the downcasted uint216 from uint256, reverting on
                           * overflow (when the input is greater than largest uint216).
                           *
                           * Counterpart to Solidity's `uint216` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 216 bits
                           */
                          function toUint216(uint256 value) internal pure returns (uint216) {
                              if (value > type(uint216).max) {
                                  revert SafeCastOverflowedUintDowncast(216, value);
                              }
                              return uint216(value);
                          }
                          /**
                           * @dev Returns the downcasted uint208 from uint256, reverting on
                           * overflow (when the input is greater than largest uint208).
                           *
                           * Counterpart to Solidity's `uint208` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 208 bits
                           */
                          function toUint208(uint256 value) internal pure returns (uint208) {
                              if (value > type(uint208).max) {
                                  revert SafeCastOverflowedUintDowncast(208, value);
                              }
                              return uint208(value);
                          }
                          /**
                           * @dev Returns the downcasted uint200 from uint256, reverting on
                           * overflow (when the input is greater than largest uint200).
                           *
                           * Counterpart to Solidity's `uint200` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 200 bits
                           */
                          function toUint200(uint256 value) internal pure returns (uint200) {
                              if (value > type(uint200).max) {
                                  revert SafeCastOverflowedUintDowncast(200, value);
                              }
                              return uint200(value);
                          }
                          /**
                           * @dev Returns the downcasted uint192 from uint256, reverting on
                           * overflow (when the input is greater than largest uint192).
                           *
                           * Counterpart to Solidity's `uint192` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 192 bits
                           */
                          function toUint192(uint256 value) internal pure returns (uint192) {
                              if (value > type(uint192).max) {
                                  revert SafeCastOverflowedUintDowncast(192, value);
                              }
                              return uint192(value);
                          }
                          /**
                           * @dev Returns the downcasted uint184 from uint256, reverting on
                           * overflow (when the input is greater than largest uint184).
                           *
                           * Counterpart to Solidity's `uint184` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 184 bits
                           */
                          function toUint184(uint256 value) internal pure returns (uint184) {
                              if (value > type(uint184).max) {
                                  revert SafeCastOverflowedUintDowncast(184, value);
                              }
                              return uint184(value);
                          }
                          /**
                           * @dev Returns the downcasted uint176 from uint256, reverting on
                           * overflow (when the input is greater than largest uint176).
                           *
                           * Counterpart to Solidity's `uint176` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 176 bits
                           */
                          function toUint176(uint256 value) internal pure returns (uint176) {
                              if (value > type(uint176).max) {
                                  revert SafeCastOverflowedUintDowncast(176, value);
                              }
                              return uint176(value);
                          }
                          /**
                           * @dev Returns the downcasted uint168 from uint256, reverting on
                           * overflow (when the input is greater than largest uint168).
                           *
                           * Counterpart to Solidity's `uint168` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 168 bits
                           */
                          function toUint168(uint256 value) internal pure returns (uint168) {
                              if (value > type(uint168).max) {
                                  revert SafeCastOverflowedUintDowncast(168, value);
                              }
                              return uint168(value);
                          }
                          /**
                           * @dev Returns the downcasted uint160 from uint256, reverting on
                           * overflow (when the input is greater than largest uint160).
                           *
                           * Counterpart to Solidity's `uint160` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 160 bits
                           */
                          function toUint160(uint256 value) internal pure returns (uint160) {
                              if (value > type(uint160).max) {
                                  revert SafeCastOverflowedUintDowncast(160, value);
                              }
                              return uint160(value);
                          }
                          /**
                           * @dev Returns the downcasted uint152 from uint256, reverting on
                           * overflow (when the input is greater than largest uint152).
                           *
                           * Counterpart to Solidity's `uint152` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 152 bits
                           */
                          function toUint152(uint256 value) internal pure returns (uint152) {
                              if (value > type(uint152).max) {
                                  revert SafeCastOverflowedUintDowncast(152, value);
                              }
                              return uint152(value);
                          }
                          /**
                           * @dev Returns the downcasted uint144 from uint256, reverting on
                           * overflow (when the input is greater than largest uint144).
                           *
                           * Counterpart to Solidity's `uint144` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 144 bits
                           */
                          function toUint144(uint256 value) internal pure returns (uint144) {
                              if (value > type(uint144).max) {
                                  revert SafeCastOverflowedUintDowncast(144, value);
                              }
                              return uint144(value);
                          }
                          /**
                           * @dev Returns the downcasted uint136 from uint256, reverting on
                           * overflow (when the input is greater than largest uint136).
                           *
                           * Counterpart to Solidity's `uint136` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 136 bits
                           */
                          function toUint136(uint256 value) internal pure returns (uint136) {
                              if (value > type(uint136).max) {
                                  revert SafeCastOverflowedUintDowncast(136, value);
                              }
                              return uint136(value);
                          }
                          /**
                           * @dev Returns the downcasted uint128 from uint256, reverting on
                           * overflow (when the input is greater than largest uint128).
                           *
                           * Counterpart to Solidity's `uint128` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 128 bits
                           */
                          function toUint128(uint256 value) internal pure returns (uint128) {
                              if (value > type(uint128).max) {
                                  revert SafeCastOverflowedUintDowncast(128, value);
                              }
                              return uint128(value);
                          }
                          /**
                           * @dev Returns the downcasted uint120 from uint256, reverting on
                           * overflow (when the input is greater than largest uint120).
                           *
                           * Counterpart to Solidity's `uint120` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 120 bits
                           */
                          function toUint120(uint256 value) internal pure returns (uint120) {
                              if (value > type(uint120).max) {
                                  revert SafeCastOverflowedUintDowncast(120, value);
                              }
                              return uint120(value);
                          }
                          /**
                           * @dev Returns the downcasted uint112 from uint256, reverting on
                           * overflow (when the input is greater than largest uint112).
                           *
                           * Counterpart to Solidity's `uint112` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 112 bits
                           */
                          function toUint112(uint256 value) internal pure returns (uint112) {
                              if (value > type(uint112).max) {
                                  revert SafeCastOverflowedUintDowncast(112, value);
                              }
                              return uint112(value);
                          }
                          /**
                           * @dev Returns the downcasted uint104 from uint256, reverting on
                           * overflow (when the input is greater than largest uint104).
                           *
                           * Counterpart to Solidity's `uint104` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 104 bits
                           */
                          function toUint104(uint256 value) internal pure returns (uint104) {
                              if (value > type(uint104).max) {
                                  revert SafeCastOverflowedUintDowncast(104, value);
                              }
                              return uint104(value);
                          }
                          /**
                           * @dev Returns the downcasted uint96 from uint256, reverting on
                           * overflow (when the input is greater than largest uint96).
                           *
                           * Counterpart to Solidity's `uint96` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 96 bits
                           */
                          function toUint96(uint256 value) internal pure returns (uint96) {
                              if (value > type(uint96).max) {
                                  revert SafeCastOverflowedUintDowncast(96, value);
                              }
                              return uint96(value);
                          }
                          /**
                           * @dev Returns the downcasted uint88 from uint256, reverting on
                           * overflow (when the input is greater than largest uint88).
                           *
                           * Counterpart to Solidity's `uint88` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 88 bits
                           */
                          function toUint88(uint256 value) internal pure returns (uint88) {
                              if (value > type(uint88).max) {
                                  revert SafeCastOverflowedUintDowncast(88, value);
                              }
                              return uint88(value);
                          }
                          /**
                           * @dev Returns the downcasted uint80 from uint256, reverting on
                           * overflow (when the input is greater than largest uint80).
                           *
                           * Counterpart to Solidity's `uint80` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 80 bits
                           */
                          function toUint80(uint256 value) internal pure returns (uint80) {
                              if (value > type(uint80).max) {
                                  revert SafeCastOverflowedUintDowncast(80, value);
                              }
                              return uint80(value);
                          }
                          /**
                           * @dev Returns the downcasted uint72 from uint256, reverting on
                           * overflow (when the input is greater than largest uint72).
                           *
                           * Counterpart to Solidity's `uint72` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 72 bits
                           */
                          function toUint72(uint256 value) internal pure returns (uint72) {
                              if (value > type(uint72).max) {
                                  revert SafeCastOverflowedUintDowncast(72, value);
                              }
                              return uint72(value);
                          }
                          /**
                           * @dev Returns the downcasted uint64 from uint256, reverting on
                           * overflow (when the input is greater than largest uint64).
                           *
                           * Counterpart to Solidity's `uint64` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 64 bits
                           */
                          function toUint64(uint256 value) internal pure returns (uint64) {
                              if (value > type(uint64).max) {
                                  revert SafeCastOverflowedUintDowncast(64, value);
                              }
                              return uint64(value);
                          }
                          /**
                           * @dev Returns the downcasted uint56 from uint256, reverting on
                           * overflow (when the input is greater than largest uint56).
                           *
                           * Counterpart to Solidity's `uint56` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 56 bits
                           */
                          function toUint56(uint256 value) internal pure returns (uint56) {
                              if (value > type(uint56).max) {
                                  revert SafeCastOverflowedUintDowncast(56, value);
                              }
                              return uint56(value);
                          }
                          /**
                           * @dev Returns the downcasted uint48 from uint256, reverting on
                           * overflow (when the input is greater than largest uint48).
                           *
                           * Counterpart to Solidity's `uint48` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 48 bits
                           */
                          function toUint48(uint256 value) internal pure returns (uint48) {
                              if (value > type(uint48).max) {
                                  revert SafeCastOverflowedUintDowncast(48, value);
                              }
                              return uint48(value);
                          }
                          /**
                           * @dev Returns the downcasted uint40 from uint256, reverting on
                           * overflow (when the input is greater than largest uint40).
                           *
                           * Counterpart to Solidity's `uint40` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 40 bits
                           */
                          function toUint40(uint256 value) internal pure returns (uint40) {
                              if (value > type(uint40).max) {
                                  revert SafeCastOverflowedUintDowncast(40, value);
                              }
                              return uint40(value);
                          }
                          /**
                           * @dev Returns the downcasted uint32 from uint256, reverting on
                           * overflow (when the input is greater than largest uint32).
                           *
                           * Counterpart to Solidity's `uint32` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 32 bits
                           */
                          function toUint32(uint256 value) internal pure returns (uint32) {
                              if (value > type(uint32).max) {
                                  revert SafeCastOverflowedUintDowncast(32, value);
                              }
                              return uint32(value);
                          }
                          /**
                           * @dev Returns the downcasted uint24 from uint256, reverting on
                           * overflow (when the input is greater than largest uint24).
                           *
                           * Counterpart to Solidity's `uint24` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 24 bits
                           */
                          function toUint24(uint256 value) internal pure returns (uint24) {
                              if (value > type(uint24).max) {
                                  revert SafeCastOverflowedUintDowncast(24, value);
                              }
                              return uint24(value);
                          }
                          /**
                           * @dev Returns the downcasted uint16 from uint256, reverting on
                           * overflow (when the input is greater than largest uint16).
                           *
                           * Counterpart to Solidity's `uint16` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 16 bits
                           */
                          function toUint16(uint256 value) internal pure returns (uint16) {
                              if (value > type(uint16).max) {
                                  revert SafeCastOverflowedUintDowncast(16, value);
                              }
                              return uint16(value);
                          }
                          /**
                           * @dev Returns the downcasted uint8 from uint256, reverting on
                           * overflow (when the input is greater than largest uint8).
                           *
                           * Counterpart to Solidity's `uint8` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 8 bits
                           */
                          function toUint8(uint256 value) internal pure returns (uint8) {
                              if (value > type(uint8).max) {
                                  revert SafeCastOverflowedUintDowncast(8, value);
                              }
                              return uint8(value);
                          }
                          /**
                           * @dev Converts a signed int256 into an unsigned uint256.
                           *
                           * Requirements:
                           *
                           * - input must be greater than or equal to 0.
                           */
                          function toUint256(int256 value) internal pure returns (uint256) {
                              if (value < 0) {
                                  revert SafeCastOverflowedIntToUint(value);
                              }
                              return uint256(value);
                          }
                          /**
                           * @dev Returns the downcasted int248 from int256, reverting on
                           * overflow (when the input is less than smallest int248 or
                           * greater than largest int248).
                           *
                           * Counterpart to Solidity's `int248` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 248 bits
                           */
                          function toInt248(int256 value) internal pure returns (int248 downcasted) {
                              downcasted = int248(value);
                              if (downcasted != value) {
                                  revert SafeCastOverflowedIntDowncast(248, value);
                              }
                          }
                          /**
                           * @dev Returns the downcasted int240 from int256, reverting on
                           * overflow (when the input is less than smallest int240 or
                           * greater than largest int240).
                           *
                           * Counterpart to Solidity's `int240` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 240 bits
                           */
                          function toInt240(int256 value) internal pure returns (int240 downcasted) {
                              downcasted = int240(value);
                              if (downcasted != value) {
                                  revert SafeCastOverflowedIntDowncast(240, value);
                              }
                          }
                          /**
                           * @dev Returns the downcasted int232 from int256, reverting on
                           * overflow (when the input is less than smallest int232 or
                           * greater than largest int232).
                           *
                           * Counterpart to Solidity's `int232` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 232 bits
                           */
                          function toInt232(int256 value) internal pure returns (int232 downcasted) {
                              downcasted = int232(value);
                              if (downcasted != value) {
                                  revert SafeCastOverflowedIntDowncast(232, value);
                              }
                          }
                          /**
                           * @dev Returns the downcasted int224 from int256, reverting on
                           * overflow (when the input is less than smallest int224 or
                           * greater than largest int224).
                           *
                           * Counterpart to Solidity's `int224` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 224 bits
                           */
                          function toInt224(int256 value) internal pure returns (int224 downcasted) {
                              downcasted = int224(value);
                              if (downcasted != value) {
                                  revert SafeCastOverflowedIntDowncast(224, value);
                              }
                          }
                          /**
                           * @dev Returns the downcasted int216 from int256, reverting on
                           * overflow (when the input is less than smallest int216 or
                           * greater than largest int216).
                           *
                           * Counterpart to Solidity's `int216` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 216 bits
                           */
                          function toInt216(int256 value) internal pure returns (int216 downcasted) {
                              downcasted = int216(value);
                              if (downcasted != value) {
                                  revert SafeCastOverflowedIntDowncast(216, value);
                              }
                          }
                          /**
                           * @dev Returns the downcasted int208 from int256, reverting on
                           * overflow (when the input is less than smallest int208 or
                           * greater than largest int208).
                           *
                           * Counterpart to Solidity's `int208` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 208 bits
                           */
                          function toInt208(int256 value) internal pure returns (int208 downcasted) {
                              downcasted = int208(value);
                              if (downcasted != value) {
                                  revert SafeCastOverflowedIntDowncast(208, value);
                              }
                          }
                          /**
                           * @dev Returns the downcasted int200 from int256, reverting on
                           * overflow (when the input is less than smallest int200 or
                           * greater than largest int200).
                           *
                           * Counterpart to Solidity's `int200` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 200 bits
                           */
                          function toInt200(int256 value) internal pure returns (int200 downcasted) {
                              downcasted = int200(value);
                              if (downcasted != value) {
                                  revert SafeCastOverflowedIntDowncast(200, value);
                              }
                          }
                          /**
                           * @dev Returns the downcasted int192 from int256, reverting on
                           * overflow (when the input is less than smallest int192 or
                           * greater than largest int192).
                           *
                           * Counterpart to Solidity's `int192` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 192 bits
                           */
                          function toInt192(int256 value) internal pure returns (int192 downcasted) {
                              downcasted = int192(value);
                              if (downcasted != value) {
                                  revert SafeCastOverflowedIntDowncast(192, value);
                              }
                          }
                          /**
                           * @dev Returns the downcasted int184 from int256, reverting on
                           * overflow (when the input is less than smallest int184 or
                           * greater than largest int184).
                           *
                           * Counterpart to Solidity's `int184` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 184 bits
                           */
                          function toInt184(int256 value) internal pure returns (int184 downcasted) {
                              downcasted = int184(value);
                              if (downcasted != value) {
                                  revert SafeCastOverflowedIntDowncast(184, value);
                              }
                          }
                          /**
                           * @dev Returns the downcasted int176 from int256, reverting on
                           * overflow (when the input is less than smallest int176 or
                           * greater than largest int176).
                           *
                           * Counterpart to Solidity's `int176` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 176 bits
                           */
                          function toInt176(int256 value) internal pure returns (int176 downcasted) {
                              downcasted = int176(value);
                              if (downcasted != value) {
                                  revert SafeCastOverflowedIntDowncast(176, value);
                              }
                          }
                          /**
                           * @dev Returns the downcasted int168 from int256, reverting on
                           * overflow (when the input is less than smallest int168 or
                           * greater than largest int168).
                           *
                           * Counterpart to Solidity's `int168` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 168 bits
                           */
                          function toInt168(int256 value) internal pure returns (int168 downcasted) {
                              downcasted = int168(value);
                              if (downcasted != value) {
                                  revert SafeCastOverflowedIntDowncast(168, value);
                              }
                          }
                          /**
                           * @dev Returns the downcasted int160 from int256, reverting on
                           * overflow (when the input is less than smallest int160 or
                           * greater than largest int160).
                           *
                           * Counterpart to Solidity's `int160` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 160 bits
                           */
                          function toInt160(int256 value) internal pure returns (int160 downcasted) {
                              downcasted = int160(value);
                              if (downcasted != value) {
                                  revert SafeCastOverflowedIntDowncast(160, value);
                              }
                          }
                          /**
                           * @dev Returns the downcasted int152 from int256, reverting on
                           * overflow (when the input is less than smallest int152 or
                           * greater than largest int152).
                           *
                           * Counterpart to Solidity's `int152` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 152 bits
                           */
                          function toInt152(int256 value) internal pure returns (int152 downcasted) {
                              downcasted = int152(value);
                              if (downcasted != value) {
                                  revert SafeCastOverflowedIntDowncast(152, value);
                              }
                          }
                          /**
                           * @dev Returns the downcasted int144 from int256, reverting on
                           * overflow (when the input is less than smallest int144 or
                           * greater than largest int144).
                           *
                           * Counterpart to Solidity's `int144` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 144 bits
                           */
                          function toInt144(int256 value) internal pure returns (int144 downcasted) {
                              downcasted = int144(value);
                              if (downcasted != value) {
                                  revert SafeCastOverflowedIntDowncast(144, value);
                              }
                          }
                          /**
                           * @dev Returns the downcasted int136 from int256, reverting on
                           * overflow (when the input is less than smallest int136 or
                           * greater than largest int136).
                           *
                           * Counterpart to Solidity's `int136` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 136 bits
                           */
                          function toInt136(int256 value) internal pure returns (int136 downcasted) {
                              downcasted = int136(value);
                              if (downcasted != value) {
                                  revert SafeCastOverflowedIntDowncast(136, value);
                              }
                          }
                          /**
                           * @dev Returns the downcasted int128 from int256, reverting on
                           * overflow (when the input is less than smallest int128 or
                           * greater than largest int128).
                           *
                           * Counterpart to Solidity's `int128` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 128 bits
                           */
                          function toInt128(int256 value) internal pure returns (int128 downcasted) {
                              downcasted = int128(value);
                              if (downcasted != value) {
                                  revert SafeCastOverflowedIntDowncast(128, value);
                              }
                          }
                          /**
                           * @dev Returns the downcasted int120 from int256, reverting on
                           * overflow (when the input is less than smallest int120 or
                           * greater than largest int120).
                           *
                           * Counterpart to Solidity's `int120` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 120 bits
                           */
                          function toInt120(int256 value) internal pure returns (int120 downcasted) {
                              downcasted = int120(value);
                              if (downcasted != value) {
                                  revert SafeCastOverflowedIntDowncast(120, value);
                              }
                          }
                          /**
                           * @dev Returns the downcasted int112 from int256, reverting on
                           * overflow (when the input is less than smallest int112 or
                           * greater than largest int112).
                           *
                           * Counterpart to Solidity's `int112` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 112 bits
                           */
                          function toInt112(int256 value) internal pure returns (int112 downcasted) {
                              downcasted = int112(value);
                              if (downcasted != value) {
                                  revert SafeCastOverflowedIntDowncast(112, value);
                              }
                          }
                          /**
                           * @dev Returns the downcasted int104 from int256, reverting on
                           * overflow (when the input is less than smallest int104 or
                           * greater than largest int104).
                           *
                           * Counterpart to Solidity's `int104` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 104 bits
                           */
                          function toInt104(int256 value) internal pure returns (int104 downcasted) {
                              downcasted = int104(value);
                              if (downcasted != value) {
                                  revert SafeCastOverflowedIntDowncast(104, value);
                              }
                          }
                          /**
                           * @dev Returns the downcasted int96 from int256, reverting on
                           * overflow (when the input is less than smallest int96 or
                           * greater than largest int96).
                           *
                           * Counterpart to Solidity's `int96` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 96 bits
                           */
                          function toInt96(int256 value) internal pure returns (int96 downcasted) {
                              downcasted = int96(value);
                              if (downcasted != value) {
                                  revert SafeCastOverflowedIntDowncast(96, value);
                              }
                          }
                          /**
                           * @dev Returns the downcasted int88 from int256, reverting on
                           * overflow (when the input is less than smallest int88 or
                           * greater than largest int88).
                           *
                           * Counterpart to Solidity's `int88` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 88 bits
                           */
                          function toInt88(int256 value) internal pure returns (int88 downcasted) {
                              downcasted = int88(value);
                              if (downcasted != value) {
                                  revert SafeCastOverflowedIntDowncast(88, value);
                              }
                          }
                          /**
                           * @dev Returns the downcasted int80 from int256, reverting on
                           * overflow (when the input is less than smallest int80 or
                           * greater than largest int80).
                           *
                           * Counterpart to Solidity's `int80` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 80 bits
                           */
                          function toInt80(int256 value) internal pure returns (int80 downcasted) {
                              downcasted = int80(value);
                              if (downcasted != value) {
                                  revert SafeCastOverflowedIntDowncast(80, value);
                              }
                          }
                          /**
                           * @dev Returns the downcasted int72 from int256, reverting on
                           * overflow (when the input is less than smallest int72 or
                           * greater than largest int72).
                           *
                           * Counterpart to Solidity's `int72` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 72 bits
                           */
                          function toInt72(int256 value) internal pure returns (int72 downcasted) {
                              downcasted = int72(value);
                              if (downcasted != value) {
                                  revert SafeCastOverflowedIntDowncast(72, value);
                              }
                          }
                          /**
                           * @dev Returns the downcasted int64 from int256, reverting on
                           * overflow (when the input is less than smallest int64 or
                           * greater than largest int64).
                           *
                           * Counterpart to Solidity's `int64` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 64 bits
                           */
                          function toInt64(int256 value) internal pure returns (int64 downcasted) {
                              downcasted = int64(value);
                              if (downcasted != value) {
                                  revert SafeCastOverflowedIntDowncast(64, value);
                              }
                          }
                          /**
                           * @dev Returns the downcasted int56 from int256, reverting on
                           * overflow (when the input is less than smallest int56 or
                           * greater than largest int56).
                           *
                           * Counterpart to Solidity's `int56` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 56 bits
                           */
                          function toInt56(int256 value) internal pure returns (int56 downcasted) {
                              downcasted = int56(value);
                              if (downcasted != value) {
                                  revert SafeCastOverflowedIntDowncast(56, value);
                              }
                          }
                          /**
                           * @dev Returns the downcasted int48 from int256, reverting on
                           * overflow (when the input is less than smallest int48 or
                           * greater than largest int48).
                           *
                           * Counterpart to Solidity's `int48` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 48 bits
                           */
                          function toInt48(int256 value) internal pure returns (int48 downcasted) {
                              downcasted = int48(value);
                              if (downcasted != value) {
                                  revert SafeCastOverflowedIntDowncast(48, value);
                              }
                          }
                          /**
                           * @dev Returns the downcasted int40 from int256, reverting on
                           * overflow (when the input is less than smallest int40 or
                           * greater than largest int40).
                           *
                           * Counterpart to Solidity's `int40` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 40 bits
                           */
                          function toInt40(int256 value) internal pure returns (int40 downcasted) {
                              downcasted = int40(value);
                              if (downcasted != value) {
                                  revert SafeCastOverflowedIntDowncast(40, value);
                              }
                          }
                          /**
                           * @dev Returns the downcasted int32 from int256, reverting on
                           * overflow (when the input is less than smallest int32 or
                           * greater than largest int32).
                           *
                           * Counterpart to Solidity's `int32` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 32 bits
                           */
                          function toInt32(int256 value) internal pure returns (int32 downcasted) {
                              downcasted = int32(value);
                              if (downcasted != value) {
                                  revert SafeCastOverflowedIntDowncast(32, value);
                              }
                          }
                          /**
                           * @dev Returns the downcasted int24 from int256, reverting on
                           * overflow (when the input is less than smallest int24 or
                           * greater than largest int24).
                           *
                           * Counterpart to Solidity's `int24` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 24 bits
                           */
                          function toInt24(int256 value) internal pure returns (int24 downcasted) {
                              downcasted = int24(value);
                              if (downcasted != value) {
                                  revert SafeCastOverflowedIntDowncast(24, value);
                              }
                          }
                          /**
                           * @dev Returns the downcasted int16 from int256, reverting on
                           * overflow (when the input is less than smallest int16 or
                           * greater than largest int16).
                           *
                           * Counterpart to Solidity's `int16` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 16 bits
                           */
                          function toInt16(int256 value) internal pure returns (int16 downcasted) {
                              downcasted = int16(value);
                              if (downcasted != value) {
                                  revert SafeCastOverflowedIntDowncast(16, value);
                              }
                          }
                          /**
                           * @dev Returns the downcasted int8 from int256, reverting on
                           * overflow (when the input is less than smallest int8 or
                           * greater than largest int8).
                           *
                           * Counterpart to Solidity's `int8` operator.
                           *
                           * Requirements:
                           *
                           * - input must fit into 8 bits
                           */
                          function toInt8(int256 value) internal pure returns (int8 downcasted) {
                              downcasted = int8(value);
                              if (downcasted != value) {
                                  revert SafeCastOverflowedIntDowncast(8, value);
                              }
                          }
                          /**
                           * @dev Converts an unsigned uint256 into a signed int256.
                           *
                           * Requirements:
                           *
                           * - input must be less than or equal to maxInt256.
                           */
                          function toInt256(uint256 value) internal pure returns (int256) {
                              // Note: Unsafe cast below is okay because `type(int256).max` is guaranteed to be positive
                              if (value > uint256(type(int256).max)) {
                                  revert SafeCastOverflowedUintToInt(value);
                              }
                              return int256(value);
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (interfaces/IERC5805.sol)
                      pragma solidity ^0.8.20;
                      import {IVotes} from "../governance/utils/IVotes.sol";
                      import {IERC6372} from "./IERC6372.sol";
                      interface IERC5805 is IERC6372, IVotes {}
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (utils/Strings.sol)
                      pragma solidity ^0.8.20;
                      import {Math} from "./math/Math.sol";
                      import {SignedMath} from "./math/SignedMath.sol";
                      /**
                       * @dev String operations.
                       */
                      library Strings {
                          bytes16 private constant HEX_DIGITS = "0123456789abcdef";
                          uint8 private constant ADDRESS_LENGTH = 20;
                          /**
                           * @dev The `value` string doesn't fit in the specified `length`.
                           */
                          error StringsInsufficientHexLength(uint256 value, uint256 length);
                          /**
                           * @dev Converts a `uint256` to its ASCII `string` decimal representation.
                           */
                          function toString(uint256 value) internal pure returns (string memory) {
                              unchecked {
                                  uint256 length = Math.log10(value) + 1;
                                  string memory buffer = new string(length);
                                  uint256 ptr;
                                  /// @solidity memory-safe-assembly
                                  assembly {
                                      ptr := add(buffer, add(32, length))
                                  }
                                  while (true) {
                                      ptr--;
                                      /// @solidity memory-safe-assembly
                                      assembly {
                                          mstore8(ptr, byte(mod(value, 10), HEX_DIGITS))
                                      }
                                      value /= 10;
                                      if (value == 0) break;
                                  }
                                  return buffer;
                              }
                          }
                          /**
                           * @dev Converts a `int256` to its ASCII `string` decimal representation.
                           */
                          function toStringSigned(int256 value) internal pure returns (string memory) {
                              return string.concat(value < 0 ? "-" : "", toString(SignedMath.abs(value)));
                          }
                          /**
                           * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation.
                           */
                          function toHexString(uint256 value) internal pure returns (string memory) {
                              unchecked {
                                  return toHexString(value, Math.log256(value) + 1);
                              }
                          }
                          /**
                           * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation with fixed length.
                           */
                          function toHexString(uint256 value, uint256 length) internal pure returns (string memory) {
                              uint256 localValue = value;
                              bytes memory buffer = new bytes(2 * length + 2);
                              buffer[0] = "0";
                              buffer[1] = "x";
                              for (uint256 i = 2 * length + 1; i > 1; --i) {
                                  buffer[i] = HEX_DIGITS[localValue & 0xf];
                                  localValue >>= 4;
                              }
                              if (localValue != 0) {
                                  revert StringsInsufficientHexLength(value, length);
                              }
                              return string(buffer);
                          }
                          /**
                           * @dev Converts an `address` with fixed length of 20 bytes to its not checksummed ASCII `string` hexadecimal
                           * representation.
                           */
                          function toHexString(address addr) internal pure returns (string memory) {
                              return toHexString(uint256(uint160(addr)), ADDRESS_LENGTH);
                          }
                          /**
                           * @dev Returns true if the two strings are equal.
                           */
                          function equal(string memory a, string memory b) internal pure returns (bool) {
                              return bytes(a).length == bytes(b).length && keccak256(bytes(a)) == keccak256(bytes(b));
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (utils/StorageSlot.sol)
                      // This file was procedurally generated from scripts/generate/templates/StorageSlot.js.
                      pragma solidity ^0.8.20;
                      /**
                       * @dev Library for reading and writing primitive types to specific storage slots.
                       *
                       * Storage slots are often used to avoid storage conflict when dealing with upgradeable contracts.
                       * This library helps with reading and writing to such slots without the need for inline assembly.
                       *
                       * The functions in this library return Slot structs that contain a `value` member that can be used to read or write.
                       *
                       * Example usage to set ERC1967 implementation slot:
                       * ```solidity
                       * contract ERC1967 {
                       *     bytes32 internal constant _IMPLEMENTATION_SLOT = 0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc;
                       *
                       *     function _getImplementation() internal view returns (address) {
                       *         return StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value;
                       *     }
                       *
                       *     function _setImplementation(address newImplementation) internal {
                       *         require(newImplementation.code.length > 0);
                       *         StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value = newImplementation;
                       *     }
                       * }
                       * ```
                       */
                      library StorageSlot {
                          struct AddressSlot {
                              address value;
                          }
                          struct BooleanSlot {
                              bool value;
                          }
                          struct Bytes32Slot {
                              bytes32 value;
                          }
                          struct Uint256Slot {
                              uint256 value;
                          }
                          struct StringSlot {
                              string value;
                          }
                          struct BytesSlot {
                              bytes value;
                          }
                          /**
                           * @dev Returns an `AddressSlot` with member `value` located at `slot`.
                           */
                          function getAddressSlot(bytes32 slot) internal pure returns (AddressSlot storage r) {
                              /// @solidity memory-safe-assembly
                              assembly {
                                  r.slot := slot
                              }
                          }
                          /**
                           * @dev Returns an `BooleanSlot` with member `value` located at `slot`.
                           */
                          function getBooleanSlot(bytes32 slot) internal pure returns (BooleanSlot storage r) {
                              /// @solidity memory-safe-assembly
                              assembly {
                                  r.slot := slot
                              }
                          }
                          /**
                           * @dev Returns an `Bytes32Slot` with member `value` located at `slot`.
                           */
                          function getBytes32Slot(bytes32 slot) internal pure returns (Bytes32Slot storage r) {
                              /// @solidity memory-safe-assembly
                              assembly {
                                  r.slot := slot
                              }
                          }
                          /**
                           * @dev Returns an `Uint256Slot` with member `value` located at `slot`.
                           */
                          function getUint256Slot(bytes32 slot) internal pure returns (Uint256Slot storage r) {
                              /// @solidity memory-safe-assembly
                              assembly {
                                  r.slot := slot
                              }
                          }
                          /**
                           * @dev Returns an `StringSlot` with member `value` located at `slot`.
                           */
                          function getStringSlot(bytes32 slot) internal pure returns (StringSlot storage r) {
                              /// @solidity memory-safe-assembly
                              assembly {
                                  r.slot := slot
                              }
                          }
                          /**
                           * @dev Returns an `StringSlot` representation of the string storage pointer `store`.
                           */
                          function getStringSlot(string storage store) internal pure returns (StringSlot storage r) {
                              /// @solidity memory-safe-assembly
                              assembly {
                                  r.slot := store.slot
                              }
                          }
                          /**
                           * @dev Returns an `BytesSlot` with member `value` located at `slot`.
                           */
                          function getBytesSlot(bytes32 slot) internal pure returns (BytesSlot storage r) {
                              /// @solidity memory-safe-assembly
                              assembly {
                                  r.slot := slot
                              }
                          }
                          /**
                           * @dev Returns an `BytesSlot` representation of the bytes storage pointer `store`.
                           */
                          function getBytesSlot(bytes storage store) internal pure returns (BytesSlot storage r) {
                              /// @solidity memory-safe-assembly
                              assembly {
                                  r.slot := store.slot
                              }
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (interfaces/IERC6372.sol)
                      pragma solidity ^0.8.20;
                      interface IERC6372 {
                          /**
                           * @dev Clock used for flagging checkpoints. Can be overridden to implement timestamp based checkpoints (and voting).
                           */
                          function clock() external view returns (uint48);
                          /**
                           * @dev Description of the clock
                           */
                          // solhint-disable-next-line func-name-mixedcase
                          function CLOCK_MODE() external view returns (string memory);
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (governance/utils/IVotes.sol)
                      pragma solidity ^0.8.20;
                      /**
                       * @dev Common interface for {ERC20Votes}, {ERC721Votes}, and other {Votes}-enabled contracts.
                       */
                      interface IVotes {
                          /**
                           * @dev The signature used has expired.
                           */
                          error VotesExpiredSignature(uint256 expiry);
                          /**
                           * @dev Emitted when an account changes their delegate.
                           */
                          event DelegateChanged(address indexed delegator, address indexed fromDelegate, address indexed toDelegate);
                          /**
                           * @dev Emitted when a token transfer or delegate change results in changes to a delegate's number of voting units.
                           */
                          event DelegateVotesChanged(address indexed delegate, uint256 previousVotes, uint256 newVotes);
                          /**
                           * @dev Returns the current amount of votes that `account` has.
                           */
                          function getVotes(address account) external view returns (uint256);
                          /**
                           * @dev Returns the amount of votes that `account` had at a specific moment in the past. If the `clock()` is
                           * configured to use block numbers, this will return the value at the end of the corresponding block.
                           */
                          function getPastVotes(address account, uint256 timepoint) external view returns (uint256);
                          /**
                           * @dev Returns the total supply of votes available at a specific moment in the past. If the `clock()` is
                           * configured to use block numbers, this will return the value at the end of the corresponding block.
                           *
                           * NOTE: This value is the sum of all available votes, which is not necessarily the sum of all delegated votes.
                           * Votes that have not been delegated are still part of total supply, even though they would not participate in a
                           * vote.
                           */
                          function getPastTotalSupply(uint256 timepoint) external view returns (uint256);
                          /**
                           * @dev Returns the delegate that `account` has chosen.
                           */
                          function delegates(address account) external view returns (address);
                          /**
                           * @dev Delegates votes from the sender to `delegatee`.
                           */
                          function delegate(address delegatee) external;
                          /**
                           * @dev Delegates votes from signer to `delegatee`.
                           */
                          function delegateBySig(address delegatee, uint256 nonce, uint256 expiry, uint8 v, bytes32 r, bytes32 s) external;
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (utils/math/SignedMath.sol)
                      pragma solidity ^0.8.20;
                      /**
                       * @dev Standard signed math utilities missing in the Solidity language.
                       */
                      library SignedMath {
                          /**
                           * @dev Returns the largest of two signed numbers.
                           */
                          function max(int256 a, int256 b) internal pure returns (int256) {
                              return a > b ? a : b;
                          }
                          /**
                           * @dev Returns the smallest of two signed numbers.
                           */
                          function min(int256 a, int256 b) internal pure returns (int256) {
                              return a < b ? a : b;
                          }
                          /**
                           * @dev Returns the average of two signed numbers without overflow.
                           * The result is rounded towards zero.
                           */
                          function average(int256 a, int256 b) internal pure returns (int256) {
                              // Formula from the book "Hacker's Delight"
                              int256 x = (a & b) + ((a ^ b) >> 1);
                              return x + (int256(uint256(x) >> 255) & (a ^ b));
                          }
                          /**
                           * @dev Returns the absolute unsigned value of a signed value.
                           */
                          function abs(int256 n) internal pure returns (uint256) {
                              unchecked {
                                  // must be unchecked in order to support `n = type(int256).min`
                                  return uint256(n >= 0 ? n : -n);
                              }
                          }
                      }
                      

                      File 3 of 4: VerifyingPaymaster
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v4.7.0) (access/Ownable.sol)
                      pragma solidity ^0.8.0;
                      import "../utils/Context.sol";
                      /**
                       * @dev Contract module which provides a basic access control mechanism, where
                       * there is an account (an owner) that can be granted exclusive access to
                       * specific functions.
                       *
                       * By default, the owner account will be the one that deploys the contract. This
                       * can later be changed with {transferOwnership}.
                       *
                       * This module is used through inheritance. It will make available the modifier
                       * `onlyOwner`, which can be applied to your functions to restrict their use to
                       * the owner.
                       */
                      abstract contract Ownable is Context {
                          address private _owner;
                          event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);
                          /**
                           * @dev Initializes the contract setting the deployer as the initial owner.
                           */
                          constructor() {
                              _transferOwnership(_msgSender());
                          }
                          /**
                           * @dev Throws if called by any account other than the owner.
                           */
                          modifier onlyOwner() {
                              _checkOwner();
                              _;
                          }
                          /**
                           * @dev Returns the address of the current owner.
                           */
                          function owner() public view virtual returns (address) {
                              return _owner;
                          }
                          /**
                           * @dev Throws if the sender is not the owner.
                           */
                          function _checkOwner() internal view virtual {
                              require(owner() == _msgSender(), "Ownable: caller is not the owner");
                          }
                          /**
                           * @dev Leaves the contract without owner. It will not be possible to call
                           * `onlyOwner` functions anymore. Can only be called by the current owner.
                           *
                           * NOTE: Renouncing ownership will leave the contract without an owner,
                           * thereby removing any functionality that is only available to the owner.
                           */
                          function renounceOwnership() public virtual onlyOwner {
                              _transferOwnership(address(0));
                          }
                          /**
                           * @dev Transfers ownership of the contract to a new account (`newOwner`).
                           * Can only be called by the current owner.
                           */
                          function transferOwnership(address newOwner) public virtual onlyOwner {
                              require(newOwner != address(0), "Ownable: new owner is the zero address");
                              _transferOwnership(newOwner);
                          }
                          /**
                           * @dev Transfers ownership of the contract to a new account (`newOwner`).
                           * Internal function without access restriction.
                           */
                          function _transferOwnership(address newOwner) internal virtual {
                              address oldOwner = _owner;
                              _owner = newOwner;
                              emit OwnershipTransferred(oldOwner, newOwner);
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts v4.4.1 (token/ERC20/extensions/draft-IERC20Permit.sol)
                      pragma solidity ^0.8.0;
                      /**
                       * @dev Interface of the ERC20 Permit extension allowing approvals to be made via signatures, as defined in
                       * https://eips.ethereum.org/EIPS/eip-2612[EIP-2612].
                       *
                       * Adds the {permit} method, which can be used to change an account's ERC20 allowance (see {IERC20-allowance}) by
                       * presenting a message signed by the account. By not relying on {IERC20-approve}, the token holder account doesn't
                       * need to send a transaction, and thus is not required to hold Ether at all.
                       */
                      interface IERC20Permit {
                          /**
                           * @dev Sets `value` as the allowance of `spender` over ``owner``'s tokens,
                           * given ``owner``'s signed approval.
                           *
                           * IMPORTANT: The same issues {IERC20-approve} has related to transaction
                           * ordering also apply here.
                           *
                           * Emits an {Approval} event.
                           *
                           * Requirements:
                           *
                           * - `spender` cannot be the zero address.
                           * - `deadline` must be a timestamp in the future.
                           * - `v`, `r` and `s` must be a valid `secp256k1` signature from `owner`
                           * over the EIP712-formatted function arguments.
                           * - the signature must use ``owner``'s current nonce (see {nonces}).
                           *
                           * For more information on the signature format, see the
                           * https://eips.ethereum.org/EIPS/eip-2612#specification[relevant EIP
                           * section].
                           */
                          function permit(
                              address owner,
                              address spender,
                              uint256 value,
                              uint256 deadline,
                              uint8 v,
                              bytes32 r,
                              bytes32 s
                          ) external;
                          /**
                           * @dev Returns the current nonce for `owner`. This value must be
                           * included whenever a signature is generated for {permit}.
                           *
                           * Every successful call to {permit} increases ``owner``'s nonce by one. This
                           * prevents a signature from being used multiple times.
                           */
                          function nonces(address owner) external view returns (uint256);
                          /**
                           * @dev Returns the domain separator used in the encoding of the signature for {permit}, as defined by {EIP712}.
                           */
                          // solhint-disable-next-line func-name-mixedcase
                          function DOMAIN_SEPARATOR() external view returns (bytes32);
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v4.6.0) (token/ERC20/IERC20.sol)
                      pragma solidity ^0.8.0;
                      /**
                       * @dev Interface of the ERC20 standard as defined in the EIP.
                       */
                      interface IERC20 {
                          /**
                           * @dev Emitted when `value` tokens are moved from one account (`from`) to
                           * another (`to`).
                           *
                           * Note that `value` may be zero.
                           */
                          event Transfer(address indexed from, address indexed to, uint256 value);
                          /**
                           * @dev Emitted when the allowance of a `spender` for an `owner` is set by
                           * a call to {approve}. `value` is the new allowance.
                           */
                          event Approval(address indexed owner, address indexed spender, uint256 value);
                          /**
                           * @dev Returns the amount of tokens in existence.
                           */
                          function totalSupply() external view returns (uint256);
                          /**
                           * @dev Returns the amount of tokens owned by `account`.
                           */
                          function balanceOf(address account) external view returns (uint256);
                          /**
                           * @dev Moves `amount` tokens from the caller's account to `to`.
                           *
                           * Returns a boolean value indicating whether the operation succeeded.
                           *
                           * Emits a {Transfer} event.
                           */
                          function transfer(address to, uint256 amount) external returns (bool);
                          /**
                           * @dev Returns the remaining number of tokens that `spender` will be
                           * allowed to spend on behalf of `owner` through {transferFrom}. This is
                           * zero by default.
                           *
                           * This value changes when {approve} or {transferFrom} are called.
                           */
                          function allowance(address owner, address spender) external view returns (uint256);
                          /**
                           * @dev Sets `amount` as the allowance of `spender` over the caller's tokens.
                           *
                           * Returns a boolean value indicating whether the operation succeeded.
                           *
                           * IMPORTANT: Beware that changing an allowance with this method brings the risk
                           * that someone may use both the old and the new allowance by unfortunate
                           * transaction ordering. One possible solution to mitigate this race
                           * condition is to first reduce the spender's allowance to 0 and set the
                           * desired value afterwards:
                           * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
                           *
                           * Emits an {Approval} event.
                           */
                          function approve(address spender, uint256 amount) external returns (bool);
                          /**
                           * @dev Moves `amount` tokens from `from` to `to` using the
                           * allowance mechanism. `amount` is then deducted from the caller's
                           * allowance.
                           *
                           * Returns a boolean value indicating whether the operation succeeded.
                           *
                           * Emits a {Transfer} event.
                           */
                          function transferFrom(
                              address from,
                              address to,
                              uint256 amount
                          ) external returns (bool);
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v4.8.0) (token/ERC20/utils/SafeERC20.sol)
                      pragma solidity ^0.8.0;
                      import "../IERC20.sol";
                      import "../extensions/draft-IERC20Permit.sol";
                      import "../../../utils/Address.sol";
                      /**
                       * @title SafeERC20
                       * @dev Wrappers around ERC20 operations that throw on failure (when the token
                       * contract returns false). Tokens that return no value (and instead revert or
                       * throw on failure) are also supported, non-reverting calls are assumed to be
                       * successful.
                       * To use this library you can add a `using SafeERC20 for IERC20;` statement to your contract,
                       * which allows you to call the safe operations as `token.safeTransfer(...)`, etc.
                       */
                      library SafeERC20 {
                          using Address for address;
                          function safeTransfer(
                              IERC20 token,
                              address to,
                              uint256 value
                          ) internal {
                              _callOptionalReturn(token, abi.encodeWithSelector(token.transfer.selector, to, value));
                          }
                          function safeTransferFrom(
                              IERC20 token,
                              address from,
                              address to,
                              uint256 value
                          ) internal {
                              _callOptionalReturn(token, abi.encodeWithSelector(token.transferFrom.selector, from, to, value));
                          }
                          /**
                           * @dev Deprecated. This function has issues similar to the ones found in
                           * {IERC20-approve}, and its usage is discouraged.
                           *
                           * Whenever possible, use {safeIncreaseAllowance} and
                           * {safeDecreaseAllowance} instead.
                           */
                          function safeApprove(
                              IERC20 token,
                              address spender,
                              uint256 value
                          ) internal {
                              // safeApprove should only be called when setting an initial allowance,
                              // or when resetting it to zero. To increase and decrease it, use
                              // 'safeIncreaseAllowance' and 'safeDecreaseAllowance'
                              require(
                                  (value == 0) || (token.allowance(address(this), spender) == 0),
                                  "SafeERC20: approve from non-zero to non-zero allowance"
                              );
                              _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, value));
                          }
                          function safeIncreaseAllowance(
                              IERC20 token,
                              address spender,
                              uint256 value
                          ) internal {
                              uint256 newAllowance = token.allowance(address(this), spender) + value;
                              _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, newAllowance));
                          }
                          function safeDecreaseAllowance(
                              IERC20 token,
                              address spender,
                              uint256 value
                          ) internal {
                              unchecked {
                                  uint256 oldAllowance = token.allowance(address(this), spender);
                                  require(oldAllowance >= value, "SafeERC20: decreased allowance below zero");
                                  uint256 newAllowance = oldAllowance - value;
                                  _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, newAllowance));
                              }
                          }
                          function safePermit(
                              IERC20Permit token,
                              address owner,
                              address spender,
                              uint256 value,
                              uint256 deadline,
                              uint8 v,
                              bytes32 r,
                              bytes32 s
                          ) internal {
                              uint256 nonceBefore = token.nonces(owner);
                              token.permit(owner, spender, value, deadline, v, r, s);
                              uint256 nonceAfter = token.nonces(owner);
                              require(nonceAfter == nonceBefore + 1, "SafeERC20: permit did not succeed");
                          }
                          /**
                           * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement
                           * on the return value: the return value is optional (but if data is returned, it must not be false).
                           * @param token The token targeted by the call.
                           * @param data The call data (encoded using abi.encode or one of its variants).
                           */
                          function _callOptionalReturn(IERC20 token, bytes memory data) private {
                              // We need to perform a low level call here, to bypass Solidity's return data size checking mechanism, since
                              // we're implementing it ourselves. We use {Address-functionCall} to perform this call, which verifies that
                              // the target address contains contract code and also asserts for success in the low-level call.
                              bytes memory returndata = address(token).functionCall(data, "SafeERC20: low-level call failed");
                              if (returndata.length > 0) {
                                  // Return data is optional
                                  require(abi.decode(returndata, (bool)), "SafeERC20: ERC20 operation did not succeed");
                              }
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v4.8.0) (utils/Address.sol)
                      pragma solidity ^0.8.1;
                      /**
                       * @dev Collection of functions related to the address type
                       */
                      library Address {
                          /**
                           * @dev Returns true if `account` is a contract.
                           *
                           * [IMPORTANT]
                           * ====
                           * It is unsafe to assume that an address for which this function returns
                           * false is an externally-owned account (EOA) and not a contract.
                           *
                           * Among others, `isContract` will return false for the following
                           * types of addresses:
                           *
                           *  - an externally-owned account
                           *  - a contract in construction
                           *  - an address where a contract will be created
                           *  - an address where a contract lived, but was destroyed
                           * ====
                           *
                           * [IMPORTANT]
                           * ====
                           * You shouldn't rely on `isContract` to protect against flash loan attacks!
                           *
                           * Preventing calls from contracts is highly discouraged. It breaks composability, breaks support for smart wallets
                           * like Gnosis Safe, and does not provide security since it can be circumvented by calling from a contract
                           * constructor.
                           * ====
                           */
                          function isContract(address account) internal view returns (bool) {
                              // This method relies on extcodesize/address.code.length, which returns 0
                              // for contracts in construction, since the code is only stored at the end
                              // of the constructor execution.
                              return account.code.length > 0;
                          }
                          /**
                           * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
                           * `recipient`, forwarding all available gas and reverting on errors.
                           *
                           * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
                           * of certain opcodes, possibly making contracts go over the 2300 gas limit
                           * imposed by `transfer`, making them unable to receive funds via
                           * `transfer`. {sendValue} removes this limitation.
                           *
                           * https://diligence.consensys.net/posts/2019/09/stop-using-soliditys-transfer-now/[Learn more].
                           *
                           * IMPORTANT: because control is transferred to `recipient`, care must be
                           * taken to not create reentrancy vulnerabilities. Consider using
                           * {ReentrancyGuard} or the
                           * https://solidity.readthedocs.io/en/v0.5.11/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
                           */
                          function sendValue(address payable recipient, uint256 amount) internal {
                              require(address(this).balance >= amount, "Address: insufficient balance");
                              (bool success, ) = recipient.call{value: amount}("");
                              require(success, "Address: unable to send value, recipient may have reverted");
                          }
                          /**
                           * @dev Performs a Solidity function call using a low level `call`. A
                           * plain `call` is an unsafe replacement for a function call: use this
                           * function instead.
                           *
                           * If `target` reverts with a revert reason, it is bubbled up by this
                           * function (like regular Solidity function calls).
                           *
                           * Returns the raw returned data. To convert to the expected return value,
                           * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
                           *
                           * Requirements:
                           *
                           * - `target` must be a contract.
                           * - calling `target` with `data` must not revert.
                           *
                           * _Available since v3.1._
                           */
                          function functionCall(address target, bytes memory data) internal returns (bytes memory) {
                              return functionCallWithValue(target, data, 0, "Address: low-level call failed");
                          }
                          /**
                           * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with
                           * `errorMessage` as a fallback revert reason when `target` reverts.
                           *
                           * _Available since v3.1._
                           */
                          function functionCall(
                              address target,
                              bytes memory data,
                              string memory errorMessage
                          ) internal returns (bytes memory) {
                              return functionCallWithValue(target, data, 0, errorMessage);
                          }
                          /**
                           * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
                           * but also transferring `value` wei to `target`.
                           *
                           * Requirements:
                           *
                           * - the calling contract must have an ETH balance of at least `value`.
                           * - the called Solidity function must be `payable`.
                           *
                           * _Available since v3.1._
                           */
                          function functionCallWithValue(
                              address target,
                              bytes memory data,
                              uint256 value
                          ) internal returns (bytes memory) {
                              return functionCallWithValue(target, data, value, "Address: low-level call with value failed");
                          }
                          /**
                           * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but
                           * with `errorMessage` as a fallback revert reason when `target` reverts.
                           *
                           * _Available since v3.1._
                           */
                          function functionCallWithValue(
                              address target,
                              bytes memory data,
                              uint256 value,
                              string memory errorMessage
                          ) internal returns (bytes memory) {
                              require(address(this).balance >= value, "Address: insufficient balance for call");
                              (bool success, bytes memory returndata) = target.call{value: value}(data);
                              return verifyCallResultFromTarget(target, success, returndata, errorMessage);
                          }
                          /**
                           * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
                           * but performing a static call.
                           *
                           * _Available since v3.3._
                           */
                          function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
                              return functionStaticCall(target, data, "Address: low-level static call failed");
                          }
                          /**
                           * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
                           * but performing a static call.
                           *
                           * _Available since v3.3._
                           */
                          function functionStaticCall(
                              address target,
                              bytes memory data,
                              string memory errorMessage
                          ) internal view returns (bytes memory) {
                              (bool success, bytes memory returndata) = target.staticcall(data);
                              return verifyCallResultFromTarget(target, success, returndata, errorMessage);
                          }
                          /**
                           * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
                           * but performing a delegate call.
                           *
                           * _Available since v3.4._
                           */
                          function functionDelegateCall(address target, bytes memory data) internal returns (bytes memory) {
                              return functionDelegateCall(target, data, "Address: low-level delegate call failed");
                          }
                          /**
                           * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
                           * but performing a delegate call.
                           *
                           * _Available since v3.4._
                           */
                          function functionDelegateCall(
                              address target,
                              bytes memory data,
                              string memory errorMessage
                          ) internal returns (bytes memory) {
                              (bool success, bytes memory returndata) = target.delegatecall(data);
                              return verifyCallResultFromTarget(target, success, returndata, errorMessage);
                          }
                          /**
                           * @dev Tool to verify that a low level call to smart-contract was successful, and revert (either by bubbling
                           * the revert reason or using the provided one) in case of unsuccessful call or if target was not a contract.
                           *
                           * _Available since v4.8._
                           */
                          function verifyCallResultFromTarget(
                              address target,
                              bool success,
                              bytes memory returndata,
                              string memory errorMessage
                          ) internal view returns (bytes memory) {
                              if (success) {
                                  if (returndata.length == 0) {
                                      // only check isContract if the call was successful and the return data is empty
                                      // otherwise we already know that it was a contract
                                      require(isContract(target), "Address: call to non-contract");
                                  }
                                  return returndata;
                              } else {
                                  _revert(returndata, errorMessage);
                              }
                          }
                          /**
                           * @dev Tool to verify that a low level call was successful, and revert if it wasn't, either by bubbling the
                           * revert reason or using the provided one.
                           *
                           * _Available since v4.3._
                           */
                          function verifyCallResult(
                              bool success,
                              bytes memory returndata,
                              string memory errorMessage
                          ) internal pure returns (bytes memory) {
                              if (success) {
                                  return returndata;
                              } else {
                                  _revert(returndata, errorMessage);
                              }
                          }
                          function _revert(bytes memory returndata, string memory errorMessage) private pure {
                              // Look for revert reason and bubble it up if present
                              if (returndata.length > 0) {
                                  // The easiest way to bubble the revert reason is using memory via assembly
                                  /// @solidity memory-safe-assembly
                                  assembly {
                                      let returndata_size := mload(returndata)
                                      revert(add(32, returndata), returndata_size)
                                  }
                              } else {
                                  revert(errorMessage);
                              }
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts v4.4.1 (utils/Context.sol)
                      pragma solidity ^0.8.0;
                      /**
                       * @dev Provides information about the current execution context, including the
                       * sender of the transaction and its data. While these are generally available
                       * via msg.sender and msg.data, they should not be accessed in such a direct
                       * manner, since when dealing with meta-transactions the account sending and
                       * paying for execution may not be the actual sender (as far as an application
                       * is concerned).
                       *
                       * This contract is only required for intermediate, library-like contracts.
                       */
                      abstract contract Context {
                          function _msgSender() internal view virtual returns (address) {
                              return msg.sender;
                          }
                          function _msgData() internal view virtual returns (bytes calldata) {
                              return msg.data;
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v4.8.0) (utils/cryptography/ECDSA.sol)
                      pragma solidity ^0.8.0;
                      import "../Strings.sol";
                      /**
                       * @dev Elliptic Curve Digital Signature Algorithm (ECDSA) operations.
                       *
                       * These functions can be used to verify that a message was signed by the holder
                       * of the private keys of a given address.
                       */
                      library ECDSA {
                          enum RecoverError {
                              NoError,
                              InvalidSignature,
                              InvalidSignatureLength,
                              InvalidSignatureS,
                              InvalidSignatureV // Deprecated in v4.8
                          }
                          function _throwError(RecoverError error) private pure {
                              if (error == RecoverError.NoError) {
                                  return; // no error: do nothing
                              } else if (error == RecoverError.InvalidSignature) {
                                  revert("ECDSA: invalid signature");
                              } else if (error == RecoverError.InvalidSignatureLength) {
                                  revert("ECDSA: invalid signature length");
                              } else if (error == RecoverError.InvalidSignatureS) {
                                  revert("ECDSA: invalid signature 's' value");
                              }
                          }
                          /**
                           * @dev Returns the address that signed a hashed message (`hash`) with
                           * `signature` or error string. This address can then be used for verification purposes.
                           *
                           * The `ecrecover` EVM opcode allows for malleable (non-unique) signatures:
                           * this function rejects them by requiring the `s` value to be in the lower
                           * half order, and the `v` value to be either 27 or 28.
                           *
                           * IMPORTANT: `hash` _must_ be the result of a hash operation for the
                           * verification to be secure: it is possible to craft signatures that
                           * recover to arbitrary addresses for non-hashed data. A safe way to ensure
                           * this is by receiving a hash of the original message (which may otherwise
                           * be too long), and then calling {toEthSignedMessageHash} on it.
                           *
                           * Documentation for signature generation:
                           * - with https://web3js.readthedocs.io/en/v1.3.4/web3-eth-accounts.html#sign[Web3.js]
                           * - with https://docs.ethers.io/v5/api/signer/#Signer-signMessage[ethers]
                           *
                           * _Available since v4.3._
                           */
                          function tryRecover(bytes32 hash, bytes memory signature) internal pure returns (address, RecoverError) {
                              if (signature.length == 65) {
                                  bytes32 r;
                                  bytes32 s;
                                  uint8 v;
                                  // ecrecover takes the signature parameters, and the only way to get them
                                  // currently is to use assembly.
                                  /// @solidity memory-safe-assembly
                                  assembly {
                                      r := mload(add(signature, 0x20))
                                      s := mload(add(signature, 0x40))
                                      v := byte(0, mload(add(signature, 0x60)))
                                  }
                                  return tryRecover(hash, v, r, s);
                              } else {
                                  return (address(0), RecoverError.InvalidSignatureLength);
                              }
                          }
                          /**
                           * @dev Returns the address that signed a hashed message (`hash`) with
                           * `signature`. This address can then be used for verification purposes.
                           *
                           * The `ecrecover` EVM opcode allows for malleable (non-unique) signatures:
                           * this function rejects them by requiring the `s` value to be in the lower
                           * half order, and the `v` value to be either 27 or 28.
                           *
                           * IMPORTANT: `hash` _must_ be the result of a hash operation for the
                           * verification to be secure: it is possible to craft signatures that
                           * recover to arbitrary addresses for non-hashed data. A safe way to ensure
                           * this is by receiving a hash of the original message (which may otherwise
                           * be too long), and then calling {toEthSignedMessageHash} on it.
                           */
                          function recover(bytes32 hash, bytes memory signature) internal pure returns (address) {
                              (address recovered, RecoverError error) = tryRecover(hash, signature);
                              _throwError(error);
                              return recovered;
                          }
                          /**
                           * @dev Overload of {ECDSA-tryRecover} that receives the `r` and `vs` short-signature fields separately.
                           *
                           * See https://eips.ethereum.org/EIPS/eip-2098[EIP-2098 short signatures]
                           *
                           * _Available since v4.3._
                           */
                          function tryRecover(
                              bytes32 hash,
                              bytes32 r,
                              bytes32 vs
                          ) internal pure returns (address, RecoverError) {
                              bytes32 s = vs & bytes32(0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff);
                              uint8 v = uint8((uint256(vs) >> 255) + 27);
                              return tryRecover(hash, v, r, s);
                          }
                          /**
                           * @dev Overload of {ECDSA-recover} that receives the `r and `vs` short-signature fields separately.
                           *
                           * _Available since v4.2._
                           */
                          function recover(
                              bytes32 hash,
                              bytes32 r,
                              bytes32 vs
                          ) internal pure returns (address) {
                              (address recovered, RecoverError error) = tryRecover(hash, r, vs);
                              _throwError(error);
                              return recovered;
                          }
                          /**
                           * @dev Overload of {ECDSA-tryRecover} that receives the `v`,
                           * `r` and `s` signature fields separately.
                           *
                           * _Available since v4.3._
                           */
                          function tryRecover(
                              bytes32 hash,
                              uint8 v,
                              bytes32 r,
                              bytes32 s
                          ) internal pure returns (address, RecoverError) {
                              // EIP-2 still allows signature malleability for ecrecover(). Remove this possibility and make the signature
                              // unique. Appendix F in the Ethereum Yellow paper (https://ethereum.github.io/yellowpaper/paper.pdf), defines
                              // the valid range for s in (301): 0 < s < secp256k1n ÷ 2 + 1, and for v in (302): v ∈ {27, 28}. Most
                              // signatures from current libraries generate a unique signature with an s-value in the lower half order.
                              //
                              // If your library generates malleable signatures, such as s-values in the upper range, calculate a new s-value
                              // with 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141 - s1 and flip v from 27 to 28 or
                              // vice versa. If your library also generates signatures with 0/1 for v instead 27/28, add 27 to v to accept
                              // these malleable signatures as well.
                              if (uint256(s) > 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF5D576E7357A4501DDFE92F46681B20A0) {
                                  return (address(0), RecoverError.InvalidSignatureS);
                              }
                              // If the signature is valid (and not malleable), return the signer address
                              address signer = ecrecover(hash, v, r, s);
                              if (signer == address(0)) {
                                  return (address(0), RecoverError.InvalidSignature);
                              }
                              return (signer, RecoverError.NoError);
                          }
                          /**
                           * @dev Overload of {ECDSA-recover} that receives the `v`,
                           * `r` and `s` signature fields separately.
                           */
                          function recover(
                              bytes32 hash,
                              uint8 v,
                              bytes32 r,
                              bytes32 s
                          ) internal pure returns (address) {
                              (address recovered, RecoverError error) = tryRecover(hash, v, r, s);
                              _throwError(error);
                              return recovered;
                          }
                          /**
                           * @dev Returns an Ethereum Signed Message, created from a `hash`. This
                           * produces hash corresponding to the one signed with the
                           * https://eth.wiki/json-rpc/API#eth_sign[`eth_sign`]
                           * JSON-RPC method as part of EIP-191.
                           *
                           * See {recover}.
                           */
                          function toEthSignedMessageHash(bytes32 hash) internal pure returns (bytes32) {
                              // 32 is the length in bytes of hash,
                              // enforced by the type signature above
                              return keccak256(abi.encodePacked("\\x19Ethereum Signed Message:\
                      32", hash));
                          }
                          /**
                           * @dev Returns an Ethereum Signed Message, created from `s`. This
                           * produces hash corresponding to the one signed with the
                           * https://eth.wiki/json-rpc/API#eth_sign[`eth_sign`]
                           * JSON-RPC method as part of EIP-191.
                           *
                           * See {recover}.
                           */
                          function toEthSignedMessageHash(bytes memory s) internal pure returns (bytes32) {
                              return keccak256(abi.encodePacked("\\x19Ethereum Signed Message:\
                      ", Strings.toString(s.length), s));
                          }
                          /**
                           * @dev Returns an Ethereum Signed Typed Data, created from a
                           * `domainSeparator` and a `structHash`. This produces hash corresponding
                           * to the one signed with the
                           * https://eips.ethereum.org/EIPS/eip-712[`eth_signTypedData`]
                           * JSON-RPC method as part of EIP-712.
                           *
                           * See {recover}.
                           */
                          function toTypedDataHash(bytes32 domainSeparator, bytes32 structHash) internal pure returns (bytes32) {
                              return keccak256(abi.encodePacked("\\x19\\x01", domainSeparator, structHash));
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v4.8.0) (utils/math/Math.sol)
                      pragma solidity ^0.8.0;
                      /**
                       * @dev Standard math utilities missing in the Solidity language.
                       */
                      library Math {
                          enum Rounding {
                              Down, // Toward negative infinity
                              Up, // Toward infinity
                              Zero // Toward zero
                          }
                          /**
                           * @dev Returns the largest of two numbers.
                           */
                          function max(uint256 a, uint256 b) internal pure returns (uint256) {
                              return a > b ? a : b;
                          }
                          /**
                           * @dev Returns the smallest of two numbers.
                           */
                          function min(uint256 a, uint256 b) internal pure returns (uint256) {
                              return a < b ? a : b;
                          }
                          /**
                           * @dev Returns the average of two numbers. The result is rounded towards
                           * zero.
                           */
                          function average(uint256 a, uint256 b) internal pure returns (uint256) {
                              // (a + b) / 2 can overflow.
                              return (a & b) + (a ^ b) / 2;
                          }
                          /**
                           * @dev Returns the ceiling of the division of two numbers.
                           *
                           * This differs from standard division with `/` in that it rounds up instead
                           * of rounding down.
                           */
                          function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) {
                              // (a + b - 1) / b can overflow on addition, so we distribute.
                              return a == 0 ? 0 : (a - 1) / b + 1;
                          }
                          /**
                           * @notice Calculates floor(x * y / denominator) with full precision. Throws if result overflows a uint256 or denominator == 0
                           * @dev Original credit to Remco Bloemen under MIT license (https://xn--2-umb.com/21/muldiv)
                           * with further edits by Uniswap Labs also under MIT license.
                           */
                          function mulDiv(
                              uint256 x,
                              uint256 y,
                              uint256 denominator
                          ) internal pure returns (uint256 result) {
                              unchecked {
                                  // 512-bit multiply [prod1 prod0] = x * y. Compute the product mod 2^256 and mod 2^256 - 1, then use
                                  // 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(x, y, not(0))
                                      prod0 := mul(x, y)
                                      prod1 := sub(sub(mm, prod0), lt(mm, prod0))
                                  }
                                  // Handle non-overflow cases, 256 by 256 division.
                                  if (prod1 == 0) {
                                      return prod0 / denominator;
                                  }
                                  // 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].
                                  uint256 remainder;
                                  assembly {
                                      // Compute remainder using mulmod.
                                      remainder := mulmod(x, y, denominator)
                                      // Subtract 256 bit number from 512 bit number.
                                      prod1 := sub(prod1, gt(remainder, prod0))
                                      prod0 := sub(prod0, remainder)
                                  }
                                  // Factor powers of two out of denominator and compute largest power of two divisor of denominator. Always >= 1.
                                  // See https://cs.stackexchange.com/q/138556/92363.
                                  // Does not overflow because the denominator cannot be zero at this stage in the function.
                                  uint256 twos = denominator & (~denominator + 1);
                                  assembly {
                                      // Divide denominator by twos.
                                      denominator := div(denominator, twos)
                                      // Divide [prod1 prod0] by twos.
                                      prod0 := div(prod0, twos)
                                      // Flip twos such that it is 2^256 / twos. If twos is zero, then it becomes one.
                                      twos := add(div(sub(0, twos), twos), 1)
                                  }
                                  // Shift in bits from prod1 into prod0.
                                  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 for
                                  // four bits. That is, denominator * inv = 1 mod 2^4.
                                  uint256 inverse = (3 * denominator) ^ 2;
                                  // Use the 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.
                                  inverse *= 2 - denominator * inverse; // inverse mod 2^8
                                  inverse *= 2 - denominator * inverse; // inverse mod 2^16
                                  inverse *= 2 - denominator * inverse; // inverse mod 2^32
                                  inverse *= 2 - denominator * inverse; // inverse mod 2^64
                                  inverse *= 2 - denominator * inverse; // inverse mod 2^128
                                  inverse *= 2 - denominator * inverse; // 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 preconditions 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 * inverse;
                                  return result;
                              }
                          }
                          /**
                           * @notice Calculates x * y / denominator with full precision, following the selected rounding direction.
                           */
                          function mulDiv(
                              uint256 x,
                              uint256 y,
                              uint256 denominator,
                              Rounding rounding
                          ) internal pure returns (uint256) {
                              uint256 result = mulDiv(x, y, denominator);
                              if (rounding == Rounding.Up && mulmod(x, y, denominator) > 0) {
                                  result += 1;
                              }
                              return result;
                          }
                          /**
                           * @dev Returns the square root of a number. If the number is not a perfect square, the value is rounded down.
                           *
                           * Inspired by Henry S. Warren, Jr.'s "Hacker's Delight" (Chapter 11).
                           */
                          function sqrt(uint256 a) internal pure returns (uint256) {
                              if (a == 0) {
                                  return 0;
                              }
                              // For our first guess, we get the biggest power of 2 which is smaller than the square root of the target.
                              //
                              // We know that the "msb" (most significant bit) of our target number `a` is a power of 2 such that we have
                              // `msb(a) <= a < 2*msb(a)`. This value can be written `msb(a)=2**k` with `k=log2(a)`.
                              //
                              // This can be rewritten `2**log2(a) <= a < 2**(log2(a) + 1)`
                              // → `sqrt(2**k) <= sqrt(a) < sqrt(2**(k+1))`
                              // → `2**(k/2) <= sqrt(a) < 2**((k+1)/2) <= 2**(k/2 + 1)`
                              //
                              // Consequently, `2**(log2(a) / 2)` is a good first approximation of `sqrt(a)` with at least 1 correct bit.
                              uint256 result = 1 << (log2(a) >> 1);
                              // At this point `result` is an estimation with one bit of precision. We know the true value is a uint128,
                              // since it is the square root of a uint256. Newton's method converges quadratically (precision doubles at
                              // every iteration). We thus need at most 7 iteration to turn our partial result with one bit of precision
                              // into the expected uint128 result.
                              unchecked {
                                  result = (result + a / result) >> 1;
                                  result = (result + a / result) >> 1;
                                  result = (result + a / result) >> 1;
                                  result = (result + a / result) >> 1;
                                  result = (result + a / result) >> 1;
                                  result = (result + a / result) >> 1;
                                  result = (result + a / result) >> 1;
                                  return min(result, a / result);
                              }
                          }
                          /**
                           * @notice Calculates sqrt(a), following the selected rounding direction.
                           */
                          function sqrt(uint256 a, Rounding rounding) internal pure returns (uint256) {
                              unchecked {
                                  uint256 result = sqrt(a);
                                  return result + (rounding == Rounding.Up && result * result < a ? 1 : 0);
                              }
                          }
                          /**
                           * @dev Return the log in base 2, rounded down, of a positive value.
                           * Returns 0 if given 0.
                           */
                          function log2(uint256 value) internal pure returns (uint256) {
                              uint256 result = 0;
                              unchecked {
                                  if (value >> 128 > 0) {
                                      value >>= 128;
                                      result += 128;
                                  }
                                  if (value >> 64 > 0) {
                                      value >>= 64;
                                      result += 64;
                                  }
                                  if (value >> 32 > 0) {
                                      value >>= 32;
                                      result += 32;
                                  }
                                  if (value >> 16 > 0) {
                                      value >>= 16;
                                      result += 16;
                                  }
                                  if (value >> 8 > 0) {
                                      value >>= 8;
                                      result += 8;
                                  }
                                  if (value >> 4 > 0) {
                                      value >>= 4;
                                      result += 4;
                                  }
                                  if (value >> 2 > 0) {
                                      value >>= 2;
                                      result += 2;
                                  }
                                  if (value >> 1 > 0) {
                                      result += 1;
                                  }
                              }
                              return result;
                          }
                          /**
                           * @dev Return the log in base 2, following the selected rounding direction, of a positive value.
                           * Returns 0 if given 0.
                           */
                          function log2(uint256 value, Rounding rounding) internal pure returns (uint256) {
                              unchecked {
                                  uint256 result = log2(value);
                                  return result + (rounding == Rounding.Up && 1 << result < value ? 1 : 0);
                              }
                          }
                          /**
                           * @dev Return the log in base 10, rounded down, of a positive value.
                           * Returns 0 if given 0.
                           */
                          function log10(uint256 value) internal pure returns (uint256) {
                              uint256 result = 0;
                              unchecked {
                                  if (value >= 10**64) {
                                      value /= 10**64;
                                      result += 64;
                                  }
                                  if (value >= 10**32) {
                                      value /= 10**32;
                                      result += 32;
                                  }
                                  if (value >= 10**16) {
                                      value /= 10**16;
                                      result += 16;
                                  }
                                  if (value >= 10**8) {
                                      value /= 10**8;
                                      result += 8;
                                  }
                                  if (value >= 10**4) {
                                      value /= 10**4;
                                      result += 4;
                                  }
                                  if (value >= 10**2) {
                                      value /= 10**2;
                                      result += 2;
                                  }
                                  if (value >= 10**1) {
                                      result += 1;
                                  }
                              }
                              return result;
                          }
                          /**
                           * @dev Return the log in base 10, following the selected rounding direction, of a positive value.
                           * Returns 0 if given 0.
                           */
                          function log10(uint256 value, Rounding rounding) internal pure returns (uint256) {
                              unchecked {
                                  uint256 result = log10(value);
                                  return result + (rounding == Rounding.Up && 10**result < value ? 1 : 0);
                              }
                          }
                          /**
                           * @dev Return the log in base 256, rounded down, of a positive value.
                           * Returns 0 if given 0.
                           *
                           * Adding one to the result gives the number of pairs of hex symbols needed to represent `value` as a hex string.
                           */
                          function log256(uint256 value) internal pure returns (uint256) {
                              uint256 result = 0;
                              unchecked {
                                  if (value >> 128 > 0) {
                                      value >>= 128;
                                      result += 16;
                                  }
                                  if (value >> 64 > 0) {
                                      value >>= 64;
                                      result += 8;
                                  }
                                  if (value >> 32 > 0) {
                                      value >>= 32;
                                      result += 4;
                                  }
                                  if (value >> 16 > 0) {
                                      value >>= 16;
                                      result += 2;
                                  }
                                  if (value >> 8 > 0) {
                                      result += 1;
                                  }
                              }
                              return result;
                          }
                          /**
                           * @dev Return the log in base 10, following the selected rounding direction, of a positive value.
                           * Returns 0 if given 0.
                           */
                          function log256(uint256 value, Rounding rounding) internal pure returns (uint256) {
                              unchecked {
                                  uint256 result = log256(value);
                                  return result + (rounding == Rounding.Up && 1 << (result * 8) < value ? 1 : 0);
                              }
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v4.8.0) (utils/Strings.sol)
                      pragma solidity ^0.8.0;
                      import "./math/Math.sol";
                      /**
                       * @dev String operations.
                       */
                      library Strings {
                          bytes16 private constant _SYMBOLS = "0123456789abcdef";
                          uint8 private constant _ADDRESS_LENGTH = 20;
                          /**
                           * @dev Converts a `uint256` to its ASCII `string` decimal representation.
                           */
                          function toString(uint256 value) internal pure returns (string memory) {
                              unchecked {
                                  uint256 length = Math.log10(value) + 1;
                                  string memory buffer = new string(length);
                                  uint256 ptr;
                                  /// @solidity memory-safe-assembly
                                  assembly {
                                      ptr := add(buffer, add(32, length))
                                  }
                                  while (true) {
                                      ptr--;
                                      /// @solidity memory-safe-assembly
                                      assembly {
                                          mstore8(ptr, byte(mod(value, 10), _SYMBOLS))
                                      }
                                      value /= 10;
                                      if (value == 0) break;
                                  }
                                  return buffer;
                              }
                          }
                          /**
                           * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation.
                           */
                          function toHexString(uint256 value) internal pure returns (string memory) {
                              unchecked {
                                  return toHexString(value, Math.log256(value) + 1);
                              }
                          }
                          /**
                           * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation with fixed length.
                           */
                          function toHexString(uint256 value, uint256 length) internal pure returns (string memory) {
                              bytes memory buffer = new bytes(2 * length + 2);
                              buffer[0] = "0";
                              buffer[1] = "x";
                              for (uint256 i = 2 * length + 1; i > 1; --i) {
                                  buffer[i] = _SYMBOLS[value & 0xf];
                                  value >>= 4;
                              }
                              require(value == 0, "Strings: hex length insufficient");
                              return string(buffer);
                          }
                          /**
                           * @dev Converts an `address` with fixed length of 20 bytes to its not checksummed ASCII `string` hexadecimal representation.
                           */
                          function toHexString(address addr) internal pure returns (string memory) {
                              return toHexString(uint256(uint160(addr)), _ADDRESS_LENGTH);
                          }
                      }
                      // SPDX-License-Identifier: GPL-3.0
                      pragma solidity ^0.8.12;
                      /* solhint-disable reason-string */
                      import "@openzeppelin/contracts/access/Ownable.sol";
                      import "../interfaces/IPaymaster.sol";
                      import "../interfaces/IEntryPoint.sol";
                      import "./Helpers.sol";
                      /**
                       * Helper class for creating a paymaster.
                       * provides helper methods for staking.
                       * validates that the postOp is called only by the entryPoint
                       */
                      abstract contract BasePaymaster is IPaymaster, Ownable {
                          IEntryPoint immutable public entryPoint;
                          constructor(IEntryPoint _entryPoint) {
                              entryPoint = _entryPoint;
                          }
                          /// @inheritdoc IPaymaster
                          function validatePaymasterUserOp(UserOperation calldata userOp, bytes32 userOpHash, uint256 maxCost)
                          external override returns (bytes memory context, uint256 validationData) {
                               _requireFromEntryPoint();
                              return _validatePaymasterUserOp(userOp, userOpHash, maxCost);
                          }
                          function _validatePaymasterUserOp(UserOperation calldata userOp, bytes32 userOpHash, uint256 maxCost)
                          internal virtual returns (bytes memory context, uint256 validationData);
                          /// @inheritdoc IPaymaster
                          function postOp(PostOpMode mode, bytes calldata context, uint256 actualGasCost) external override {
                              _requireFromEntryPoint();
                              _postOp(mode, context, actualGasCost);
                          }
                          /**
                           * post-operation handler.
                           * (verified to be called only through the entryPoint)
                           * @dev if subclass returns a non-empty context from validatePaymasterUserOp, it must also implement this method.
                           * @param mode enum with the following options:
                           *      opSucceeded - user operation succeeded.
                           *      opReverted  - user op reverted. still has to pay for gas.
                           *      postOpReverted - user op succeeded, but caused postOp (in mode=opSucceeded) to revert.
                           *                       Now this is the 2nd call, after user's op was deliberately reverted.
                           * @param context - the context value returned by validatePaymasterUserOp
                           * @param actualGasCost - actual gas used so far (without this postOp call).
                           */
                          function _postOp(PostOpMode mode, bytes calldata context, uint256 actualGasCost) internal virtual {
                              (mode,context,actualGasCost); // unused params
                              // subclass must override this method if validatePaymasterUserOp returns a context
                              revert("must override");
                          }
                          /**
                           * add a deposit for this paymaster, used for paying for transaction fees
                           */
                          function deposit() public payable {
                              entryPoint.depositTo{value : msg.value}(address(this));
                          }
                          /**
                           * withdraw value from the deposit
                           * @param withdrawAddress target to send to
                           * @param amount to withdraw
                           */
                          function withdrawTo(address payable withdrawAddress, uint256 amount) public onlyOwner {
                              entryPoint.withdrawTo(withdrawAddress, amount);
                          }
                          /**
                           * add stake for this paymaster.
                           * This method can also carry eth value to add to the current stake.
                           * @param unstakeDelaySec - the unstake delay for this paymaster. Can only be increased.
                           */
                          function addStake(uint32 unstakeDelaySec) external payable onlyOwner {
                              entryPoint.addStake{value : msg.value}(unstakeDelaySec);
                          }
                          /**
                           * return current paymaster's deposit on the entryPoint.
                           */
                          function getDeposit() public view returns (uint256) {
                              return entryPoint.balanceOf(address(this));
                          }
                          /**
                           * unlock the stake, in order to withdraw it.
                           * The paymaster can't serve requests once unlocked, until it calls addStake again
                           */
                          function unlockStake() external onlyOwner {
                              entryPoint.unlockStake();
                          }
                          /**
                           * withdraw the entire paymaster's stake.
                           * stake must be unlocked first (and then wait for the unstakeDelay to be over)
                           * @param withdrawAddress the address to send withdrawn value.
                           */
                          function withdrawStake(address payable withdrawAddress) external onlyOwner {
                              entryPoint.withdrawStake(withdrawAddress);
                          }
                          /// validate the call is made from a valid entrypoint
                          function _requireFromEntryPoint() internal virtual {
                              require(msg.sender == address(entryPoint), "Sender not EntryPoint");
                          }
                      }
                      // SPDX-License-Identifier: GPL-3.0
                      pragma solidity ^0.8.12;
                      /* solhint-disable no-inline-assembly */
                      /**
                       * returned data from validateUserOp.
                       * validateUserOp returns a uint256, with is created by `_packedValidationData` and parsed by `_parseValidationData`
                       * @param aggregator - address(0) - the account validated the signature by itself.
                       *              address(1) - the account failed to validate the signature.
                       *              otherwise - this is an address of a signature aggregator that must be used to validate the signature.
                       * @param validAfter - this UserOp is valid only after this timestamp.
                       * @param validaUntil - this UserOp is valid only up to this timestamp.
                       */
                          struct ValidationData {
                              address aggregator;
                              uint48 validAfter;
                              uint48 validUntil;
                          }
                      //extract sigFailed, validAfter, validUntil.
                      // also convert zero validUntil to type(uint48).max
                          function _parseValidationData(uint validationData) pure returns (ValidationData memory data) {
                              address aggregator = address(uint160(validationData));
                              uint48 validUntil = uint48(validationData >> 160);
                              if (validUntil == 0) {
                                  validUntil = type(uint48).max;
                              }
                              uint48 validAfter = uint48(validationData >> (48 + 160));
                              return ValidationData(aggregator, validAfter, validUntil);
                          }
                      // intersect account and paymaster ranges.
                          function _intersectTimeRange(uint256 validationData, uint256 paymasterValidationData) pure returns (ValidationData memory) {
                              ValidationData memory accountValidationData = _parseValidationData(validationData);
                              ValidationData memory pmValidationData = _parseValidationData(paymasterValidationData);
                              address aggregator = accountValidationData.aggregator;
                              if (aggregator == address(0)) {
                                  aggregator = pmValidationData.aggregator;
                              }
                              uint48 validAfter = accountValidationData.validAfter;
                              uint48 validUntil = accountValidationData.validUntil;
                              uint48 pmValidAfter = pmValidationData.validAfter;
                              uint48 pmValidUntil = pmValidationData.validUntil;
                              if (validAfter < pmValidAfter) validAfter = pmValidAfter;
                              if (validUntil > pmValidUntil) validUntil = pmValidUntil;
                              return ValidationData(aggregator, validAfter, validUntil);
                          }
                      /**
                       * helper to pack the return value for validateUserOp
                       * @param data - the ValidationData to pack
                       */
                          function _packValidationData(ValidationData memory data) pure returns (uint256) {
                              return uint160(data.aggregator) | (uint256(data.validUntil) << 160) | (uint256(data.validAfter) << (160 + 48));
                          }
                      /**
                       * helper to pack the return value for validateUserOp, when not using an aggregator
                       * @param sigFailed - true for signature failure, false for success
                       * @param validUntil last timestamp this UserOperation is valid (or zero for infinite)
                       * @param validAfter first timestamp this UserOperation is valid
                       */
                          function _packValidationData(bool sigFailed, uint48 validUntil, uint48 validAfter) pure returns (uint256) {
                              return (sigFailed ? 1 : 0) | (uint256(validUntil) << 160) | (uint256(validAfter) << (160 + 48));
                          }
                      /**
                       * keccak function over calldata.
                       * @dev copy calldata into memory, do keccak and drop allocated memory. Strangely, this is more efficient than letting solidity do it.
                       */
                          function calldataKeccak(bytes calldata data) pure returns (bytes32 ret) {
                              assembly {
                                  let mem := mload(0x40)
                                  let len := data.length
                                  calldatacopy(mem, data.offset, len)
                                  ret := keccak256(mem, len)
                              }
                          }
                      // SPDX-License-Identifier: GPL-3.0
                      pragma solidity ^0.8.12;
                      import "./UserOperation.sol";
                      /**
                       * Aggregated Signatures validator.
                       */
                      interface IAggregator {
                          /**
                           * validate aggregated signature.
                           * revert if the aggregated signature does not match the given list of operations.
                           */
                          function validateSignatures(UserOperation[] calldata userOps, bytes calldata signature) external view;
                          /**
                           * validate signature of a single userOp
                           * This method is should be called by bundler after EntryPoint.simulateValidation() returns (reverts) with ValidationResultWithAggregation
                           * First it validates the signature over the userOp. Then it returns data to be used when creating the handleOps.
                           * @param userOp the userOperation received from the user.
                           * @return sigForUserOp the value to put into the signature field of the userOp when calling handleOps.
                           *    (usually empty, unless account and aggregator support some kind of "multisig"
                           */
                          function validateUserOpSignature(UserOperation calldata userOp)
                          external view returns (bytes memory sigForUserOp);
                          /**
                           * aggregate multiple signatures into a single value.
                           * This method is called off-chain to calculate the signature to pass with handleOps()
                           * bundler MAY use optimized custom code perform this aggregation
                           * @param userOps array of UserOperations to collect the signatures from.
                           * @return aggregatedSignature the aggregated signature
                           */
                          function aggregateSignatures(UserOperation[] calldata userOps) external view returns (bytes memory aggregatedSignature);
                      }
                      /**
                       ** Account-Abstraction (EIP-4337) singleton EntryPoint implementation.
                       ** Only one instance required on each chain.
                       **/
                      // SPDX-License-Identifier: GPL-3.0
                      pragma solidity ^0.8.12;
                      /* solhint-disable avoid-low-level-calls */
                      /* solhint-disable no-inline-assembly */
                      /* solhint-disable reason-string */
                      import "./UserOperation.sol";
                      import "./IStakeManager.sol";
                      import "./IAggregator.sol";
                      import "./INonceManager.sol";
                      interface IEntryPoint is IStakeManager, INonceManager {
                          /***
                           * An event emitted after each successful request
                           * @param userOpHash - unique identifier for the request (hash its entire content, except signature).
                           * @param sender - the account that generates this request.
                           * @param paymaster - if non-null, the paymaster that pays for this request.
                           * @param nonce - the nonce value from the request.
                           * @param success - true if the sender transaction succeeded, false if reverted.
                           * @param actualGasCost - actual amount paid (by account or paymaster) for this UserOperation.
                           * @param actualGasUsed - total gas used by this UserOperation (including preVerification, creation, validation and execution).
                           */
                          event UserOperationEvent(bytes32 indexed userOpHash, address indexed sender, address indexed paymaster, uint256 nonce, bool success, uint256 actualGasCost, uint256 actualGasUsed);
                          /**
                           * account "sender" was deployed.
                           * @param userOpHash the userOp that deployed this account. UserOperationEvent will follow.
                           * @param sender the account that is deployed
                           * @param factory the factory used to deploy this account (in the initCode)
                           * @param paymaster the paymaster used by this UserOp
                           */
                          event AccountDeployed(bytes32 indexed userOpHash, address indexed sender, address factory, address paymaster);
                          /**
                           * An event emitted if the UserOperation "callData" reverted with non-zero length
                           * @param userOpHash the request unique identifier.
                           * @param sender the sender of this request
                           * @param nonce the nonce used in the request
                           * @param revertReason - the return bytes from the (reverted) call to "callData".
                           */
                          event UserOperationRevertReason(bytes32 indexed userOpHash, address indexed sender, uint256 nonce, bytes revertReason);
                          /**
                           * an event emitted by handleOps(), before starting the execution loop.
                           * any event emitted before this event, is part of the validation.
                           */
                          event BeforeExecution();
                          /**
                           * signature aggregator used by the following UserOperationEvents within this bundle.
                           */
                          event SignatureAggregatorChanged(address indexed aggregator);
                          /**
                           * a custom revert error of handleOps, to identify the offending op.
                           *  NOTE: if simulateValidation passes successfully, there should be no reason for handleOps to fail on it.
                           *  @param opIndex - index into the array of ops to the failed one (in simulateValidation, this is always zero)
                           *  @param reason - revert reason
                           *      The string starts with a unique code "AAmn", where "m" is "1" for factory, "2" for account and "3" for paymaster issues,
                           *      so a failure can be attributed to the correct entity.
                           *   Should be caught in off-chain handleOps simulation and not happen on-chain.
                           *   Useful for mitigating DoS attempts against batchers or for troubleshooting of factory/account/paymaster reverts.
                           */
                          error FailedOp(uint256 opIndex, string reason);
                          /**
                           * error case when a signature aggregator fails to verify the aggregated signature it had created.
                           */
                          error SignatureValidationFailed(address aggregator);
                          /**
                           * Successful result from simulateValidation.
                           * @param returnInfo gas and time-range returned values
                           * @param senderInfo stake information about the sender
                           * @param factoryInfo stake information about the factory (if any)
                           * @param paymasterInfo stake information about the paymaster (if any)
                           */
                          error ValidationResult(ReturnInfo returnInfo,
                              StakeInfo senderInfo, StakeInfo factoryInfo, StakeInfo paymasterInfo);
                          /**
                           * Successful result from simulateValidation, if the account returns a signature aggregator
                           * @param returnInfo gas and time-range returned values
                           * @param senderInfo stake information about the sender
                           * @param factoryInfo stake information about the factory (if any)
                           * @param paymasterInfo stake information about the paymaster (if any)
                           * @param aggregatorInfo signature aggregation info (if the account requires signature aggregator)
                           *      bundler MUST use it to verify the signature, or reject the UserOperation
                           */
                          error ValidationResultWithAggregation(ReturnInfo returnInfo,
                              StakeInfo senderInfo, StakeInfo factoryInfo, StakeInfo paymasterInfo,
                              AggregatorStakeInfo aggregatorInfo);
                          /**
                           * return value of getSenderAddress
                           */
                          error SenderAddressResult(address sender);
                          /**
                           * return value of simulateHandleOp
                           */
                          error ExecutionResult(uint256 preOpGas, uint256 paid, uint48 validAfter, uint48 validUntil, bool targetSuccess, bytes targetResult);
                          //UserOps handled, per aggregator
                          struct UserOpsPerAggregator {
                              UserOperation[] userOps;
                              // aggregator address
                              IAggregator aggregator;
                              // aggregated signature
                              bytes signature;
                          }
                          /**
                           * Execute a batch of UserOperation.
                           * no signature aggregator is used.
                           * if any account requires an aggregator (that is, it returned an aggregator when
                           * performing simulateValidation), then handleAggregatedOps() must be used instead.
                           * @param ops the operations to execute
                           * @param beneficiary the address to receive the fees
                           */
                          function handleOps(UserOperation[] calldata ops, address payable beneficiary) external;
                          /**
                           * Execute a batch of UserOperation with Aggregators
                           * @param opsPerAggregator the operations to execute, grouped by aggregator (or address(0) for no-aggregator accounts)
                           * @param beneficiary the address to receive the fees
                           */
                          function handleAggregatedOps(
                              UserOpsPerAggregator[] calldata opsPerAggregator,
                              address payable beneficiary
                          ) external;
                          /**
                           * generate a request Id - unique identifier for this request.
                           * the request ID is a hash over the content of the userOp (except the signature), the entrypoint and the chainid.
                           */
                          function getUserOpHash(UserOperation calldata userOp) external view returns (bytes32);
                          /**
                           * Simulate a call to account.validateUserOp and paymaster.validatePaymasterUserOp.
                           * @dev this method always revert. Successful result is ValidationResult error. other errors are failures.
                           * @dev The node must also verify it doesn't use banned opcodes, and that it doesn't reference storage outside the account's data.
                           * @param userOp the user operation to validate.
                           */
                          function simulateValidation(UserOperation calldata userOp) external;
                          /**
                           * gas and return values during simulation
                           * @param preOpGas the gas used for validation (including preValidationGas)
                           * @param prefund the required prefund for this operation
                           * @param sigFailed validateUserOp's (or paymaster's) signature check failed
                           * @param validAfter - first timestamp this UserOp is valid (merging account and paymaster time-range)
                           * @param validUntil - last timestamp this UserOp is valid (merging account and paymaster time-range)
                           * @param paymasterContext returned by validatePaymasterUserOp (to be passed into postOp)
                           */
                          struct ReturnInfo {
                              uint256 preOpGas;
                              uint256 prefund;
                              bool sigFailed;
                              uint48 validAfter;
                              uint48 validUntil;
                              bytes paymasterContext;
                          }
                          /**
                           * returned aggregated signature info.
                           * the aggregator returned by the account, and its current stake.
                           */
                          struct AggregatorStakeInfo {
                              address aggregator;
                              StakeInfo stakeInfo;
                          }
                          /**
                           * Get counterfactual sender address.
                           *  Calculate the sender contract address that will be generated by the initCode and salt in the UserOperation.
                           * this method always revert, and returns the address in SenderAddressResult error
                           * @param initCode the constructor code to be passed into the UserOperation.
                           */
                          function getSenderAddress(bytes memory initCode) external;
                          /**
                           * simulate full execution of a UserOperation (including both validation and target execution)
                           * this method will always revert with "ExecutionResult".
                           * it performs full validation of the UserOperation, but ignores signature error.
                           * an optional target address is called after the userop succeeds, and its value is returned
                           * (before the entire call is reverted)
                           * Note that in order to collect the the success/failure of the target call, it must be executed
                           * with trace enabled to track the emitted events.
                           * @param op the UserOperation to simulate
                           * @param target if nonzero, a target address to call after userop simulation. If called, the targetSuccess and targetResult
                           *        are set to the return from that call.
                           * @param targetCallData callData to pass to target address
                           */
                          function simulateHandleOp(UserOperation calldata op, address target, bytes calldata targetCallData) external;
                      }
                      // SPDX-License-Identifier: GPL-3.0
                      pragma solidity ^0.8.12;
                      interface INonceManager {
                          /**
                           * Return the next nonce for this sender.
                           * Within a given key, the nonce values are sequenced (starting with zero, and incremented by one on each userop)
                           * But UserOp with different keys can come with arbitrary order.
                           *
                           * @param sender the account address
                           * @param key the high 192 bit of the nonce
                           * @return nonce a full nonce to pass for next UserOp with this sender.
                           */
                          function getNonce(address sender, uint192 key)
                          external view returns (uint256 nonce);
                          /**
                           * Manually increment the nonce of the sender.
                           * This method is exposed just for completeness..
                           * Account does NOT need to call it, neither during validation, nor elsewhere,
                           * as the EntryPoint will update the nonce regardless.
                           * Possible use-case is call it with various keys to "initialize" their nonces to one, so that future
                           * UserOperations will not pay extra for the first transaction with a given key.
                           */
                          function incrementNonce(uint192 key) external;
                      }
                      // SPDX-License-Identifier: GPL-3.0
                      pragma solidity ^0.8.12;
                      import "./UserOperation.sol";
                      /**
                       * the interface exposed by a paymaster contract, who agrees to pay the gas for user's operations.
                       * a paymaster must hold a stake to cover the required entrypoint stake and also the gas for the transaction.
                       */
                      interface IPaymaster {
                          enum PostOpMode {
                              opSucceeded, // user op succeeded
                              opReverted, // user op reverted. still has to pay for gas.
                              postOpReverted //user op succeeded, but caused postOp to revert. Now it's a 2nd call, after user's op was deliberately reverted.
                          }
                          /**
                           * payment validation: check if paymaster agrees to pay.
                           * Must verify sender is the entryPoint.
                           * Revert to reject this request.
                           * Note that bundlers will reject this method if it changes the state, unless the paymaster is trusted (whitelisted)
                           * The paymaster pre-pays using its deposit, and receive back a refund after the postOp method returns.
                           * @param userOp the user operation
                           * @param userOpHash hash of the user's request data.
                           * @param maxCost the maximum cost of this transaction (based on maximum gas and gas price from userOp)
                           * @return context value to send to a postOp
                           *      zero length to signify postOp is not required.
                           * @return validationData signature and time-range of this operation, encoded the same as the return value of validateUserOperation
                           *      <20-byte> sigAuthorizer - 0 for valid signature, 1 to mark signature failure,
                           *         otherwise, an address of an "authorizer" contract.
                           *      <6-byte> validUntil - last timestamp this operation is valid. 0 for "indefinite"
                           *      <6-byte> validAfter - first timestamp this operation is valid
                           *      Note that the validation code cannot use block.timestamp (or block.number) directly.
                           */
                          function validatePaymasterUserOp(UserOperation calldata userOp, bytes32 userOpHash, uint256 maxCost)
                          external returns (bytes memory context, uint256 validationData);
                          /**
                           * post-operation handler.
                           * Must verify sender is the entryPoint
                           * @param mode enum with the following options:
                           *      opSucceeded - user operation succeeded.
                           *      opReverted  - user op reverted. still has to pay for gas.
                           *      postOpReverted - user op succeeded, but caused postOp (in mode=opSucceeded) to revert.
                           *                       Now this is the 2nd call, after user's op was deliberately reverted.
                           * @param context - the context value returned by validatePaymasterUserOp
                           * @param actualGasCost - actual gas used so far (without this postOp call).
                           */
                          function postOp(PostOpMode mode, bytes calldata context, uint256 actualGasCost) external;
                      }
                      // SPDX-License-Identifier: GPL-3.0-only
                      pragma solidity ^0.8.12;
                      /**
                       * manage deposits and stakes.
                       * deposit is just a balance used to pay for UserOperations (either by a paymaster or an account)
                       * stake is value locked for at least "unstakeDelay" by the staked entity.
                       */
                      interface IStakeManager {
                          event Deposited(
                              address indexed account,
                              uint256 totalDeposit
                          );
                          event Withdrawn(
                              address indexed account,
                              address withdrawAddress,
                              uint256 amount
                          );
                          /// Emitted when stake or unstake delay are modified
                          event StakeLocked(
                              address indexed account,
                              uint256 totalStaked,
                              uint256 unstakeDelaySec
                          );
                          /// Emitted once a stake is scheduled for withdrawal
                          event StakeUnlocked(
                              address indexed account,
                              uint256 withdrawTime
                          );
                          event StakeWithdrawn(
                              address indexed account,
                              address withdrawAddress,
                              uint256 amount
                          );
                          /**
                           * @param deposit the entity's deposit
                           * @param staked true if this entity is staked.
                           * @param stake actual amount of ether staked for this entity.
                           * @param unstakeDelaySec minimum delay to withdraw the stake.
                           * @param withdrawTime - first block timestamp where 'withdrawStake' will be callable, or zero if already locked
                           * @dev sizes were chosen so that (deposit,staked, stake) fit into one cell (used during handleOps)
                           *    and the rest fit into a 2nd cell.
                           *    112 bit allows for 10^15 eth
                           *    48 bit for full timestamp
                           *    32 bit allows 150 years for unstake delay
                           */
                          struct DepositInfo {
                              uint112 deposit;
                              bool staked;
                              uint112 stake;
                              uint32 unstakeDelaySec;
                              uint48 withdrawTime;
                          }
                          //API struct used by getStakeInfo and simulateValidation
                          struct StakeInfo {
                              uint256 stake;
                              uint256 unstakeDelaySec;
                          }
                          /// @return info - full deposit information of given account
                          function getDepositInfo(address account) external view returns (DepositInfo memory info);
                          /// @return the deposit (for gas payment) of the account
                          function balanceOf(address account) external view returns (uint256);
                          /**
                           * add to the deposit of the given account
                           */
                          function depositTo(address account) external payable;
                          /**
                           * add to the account's stake - amount and delay
                           * any pending unstake is first cancelled.
                           * @param _unstakeDelaySec the new lock duration before the deposit can be withdrawn.
                           */
                          function addStake(uint32 _unstakeDelaySec) external payable;
                          /**
                           * attempt to unlock the stake.
                           * the value can be withdrawn (using withdrawStake) after the unstake delay.
                           */
                          function unlockStake() external;
                          /**
                           * withdraw from the (unlocked) stake.
                           * must first call unlockStake and wait for the unstakeDelay to pass
                           * @param withdrawAddress the address to send withdrawn value.
                           */
                          function withdrawStake(address payable withdrawAddress) external;
                          /**
                           * withdraw from the deposit.
                           * @param withdrawAddress the address to send withdrawn value.
                           * @param withdrawAmount the amount to withdraw.
                           */
                          function withdrawTo(address payable withdrawAddress, uint256 withdrawAmount) external;
                      }
                      // SPDX-License-Identifier: GPL-3.0
                      pragma solidity ^0.8.12;
                      /* solhint-disable no-inline-assembly */
                      import {calldataKeccak} from "../core/Helpers.sol";
                      /**
                       * User Operation struct
                       * @param sender the sender account of this request.
                           * @param nonce unique value the sender uses to verify it is not a replay.
                           * @param initCode if set, the account contract will be created by this constructor/
                           * @param callData the method call to execute on this account.
                           * @param callGasLimit the gas limit passed to the callData method call.
                           * @param verificationGasLimit gas used for validateUserOp and validatePaymasterUserOp.
                           * @param preVerificationGas gas not calculated by the handleOps method, but added to the gas paid. Covers batch overhead.
                           * @param maxFeePerGas same as EIP-1559 gas parameter.
                           * @param maxPriorityFeePerGas same as EIP-1559 gas parameter.
                           * @param paymasterAndData if set, this field holds the paymaster address and paymaster-specific data. the paymaster will pay for the transaction instead of the sender.
                           * @param signature sender-verified signature over the entire request, the EntryPoint address and the chain ID.
                           */
                          struct UserOperation {
                              address sender;
                              uint256 nonce;
                              bytes initCode;
                              bytes callData;
                              uint256 callGasLimit;
                              uint256 verificationGasLimit;
                              uint256 preVerificationGas;
                              uint256 maxFeePerGas;
                              uint256 maxPriorityFeePerGas;
                              bytes paymasterAndData;
                              bytes signature;
                          }
                      /**
                       * Utility functions helpful when working with UserOperation structs.
                       */
                      library UserOperationLib {
                          function getSender(UserOperation calldata userOp) internal pure returns (address) {
                              address data;
                              //read sender from userOp, which is first userOp member (saves 800 gas...)
                              assembly {data := calldataload(userOp)}
                              return address(uint160(data));
                          }
                          //relayer/block builder might submit the TX with higher priorityFee, but the user should not
                          // pay above what he signed for.
                          function gasPrice(UserOperation calldata userOp) internal view returns (uint256) {
                          unchecked {
                              uint256 maxFeePerGas = userOp.maxFeePerGas;
                              uint256 maxPriorityFeePerGas = userOp.maxPriorityFeePerGas;
                              if (maxFeePerGas == maxPriorityFeePerGas) {
                                  //legacy mode (for networks that don't support basefee opcode)
                                  return maxFeePerGas;
                              }
                              return min(maxFeePerGas, maxPriorityFeePerGas + block.basefee);
                          }
                          }
                          function pack(UserOperation calldata userOp) internal pure returns (bytes memory ret) {
                              address sender = getSender(userOp);
                              uint256 nonce = userOp.nonce;
                              bytes32 hashInitCode = calldataKeccak(userOp.initCode);
                              bytes32 hashCallData = calldataKeccak(userOp.callData);
                              uint256 callGasLimit = userOp.callGasLimit;
                              uint256 verificationGasLimit = userOp.verificationGasLimit;
                              uint256 preVerificationGas = userOp.preVerificationGas;
                              uint256 maxFeePerGas = userOp.maxFeePerGas;
                              uint256 maxPriorityFeePerGas = userOp.maxPriorityFeePerGas;
                              bytes32 hashPaymasterAndData = calldataKeccak(userOp.paymasterAndData);
                              return abi.encode(
                                  sender, nonce,
                                  hashInitCode, hashCallData,
                                  callGasLimit, verificationGasLimit, preVerificationGas,
                                  maxFeePerGas, maxPriorityFeePerGas,
                                  hashPaymasterAndData
                              );
                          }
                          function hash(UserOperation calldata userOp) internal pure returns (bytes32) {
                              return keccak256(pack(userOp));
                          }
                          function min(uint256 a, uint256 b) internal pure returns (uint256) {
                              return a < b ? a : b;
                          }
                      }
                      // SPDX-License-Identifier: GPL-3.0
                      pragma solidity ^0.8.19;
                      import { IEntryPoint } from "account-abstraction/contracts/interfaces/IEntryPoint.sol";
                      import { UserOperation } from "account-abstraction/contracts/interfaces/UserOperation.sol";
                      import { UserOperationLib } from "account-abstraction/contracts/interfaces/UserOperation.sol";
                      import { BasePaymaster } from "account-abstraction/contracts/core/BasePaymaster.sol";
                      import { calldataKeccak } from "account-abstraction/contracts/core/Helpers.sol";
                      import { ECDSA } from "@openzeppelin/contracts/utils/cryptography/ECDSA.sol";
                      import { IERC20 } from "@openzeppelin/contracts/token/ERC20/IERC20.sol";
                      import { SafeERC20 } from "@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol";
                      import { Math } from "@openzeppelin/contracts/utils/math/Math.sol";
                      import "account-abstraction/contracts/core/Helpers.sol" as Helpers;
                      /**
                       * A paymaster based on the eth-infinitism sample VerifyingPaymaster contract.
                       * It has the same functionality as the sample, but with added support for withdrawing ERC20 tokens.
                       * All withdrawn tokens will be transferred to the owner address.
                       * Note that the off-chain signer should have a strategy in place to handle a failed token withdrawal.
                       *
                       * See account-abstraction/contracts/samples/VerifyingPaymaster.sol for detailed comments.
                       */
                      contract VerifyingPaymaster is BasePaymaster {
                          using ECDSA for bytes32;
                          using UserOperationLib for UserOperation;
                          using SafeERC20 for IERC20;
                          uint256 private constant VALID_PND_OFFSET = 20;
                          uint256 private constant SIGNATURE_OFFSET = 148;
                          uint256 public constant POST_OP_GAS = 35000;
                          address public verifier;
                          address public vault;
                          constructor(IEntryPoint _entryPoint, address _owner) BasePaymaster(_entryPoint) {
                              _transferOwnership(_owner);
                              verifier = _owner;
                              vault = _owner;
                          }
                          function setVerifier(address _verifier) public onlyOwner {
                              verifier = _verifier;
                          }
                          function setVault(address _vault) public onlyOwner {
                              vault = _vault;
                          }
                          function pack(UserOperation calldata userOp) internal pure returns (bytes memory ret) {
                              return
                                  abi.encode(
                                      userOp.getSender(),
                                      userOp.nonce,
                                      calldataKeccak(userOp.initCode),
                                      calldataKeccak(userOp.callData),
                                      userOp.callGasLimit,
                                      userOp.verificationGasLimit,
                                      userOp.preVerificationGas,
                                      userOp.maxFeePerGas,
                                      userOp.maxPriorityFeePerGas
                                  );
                          }
                          function getHash(
                              UserOperation calldata userOp,
                              uint48 validUntil,
                              uint48 validAfter,
                              address erc20Token,
                              uint256 exchangeRate
                          ) public view returns (bytes32) {
                              return
                                  keccak256(
                                      abi.encode(pack(userOp), block.chainid, address(this), validUntil, validAfter, erc20Token, exchangeRate)
                                  );
                          }
                          function _validatePaymasterUserOp(
                              UserOperation calldata userOp,
                              bytes32 /*userOpHash*/,
                              uint256 requiredPreFund
                          ) internal view override returns (bytes memory context, uint256 validationData) {
                              (requiredPreFund);
                              (
                                  uint48 validUntil,
                                  uint48 validAfter,
                                  address erc20Token,
                                  uint256 exchangeRate,
                                  bytes calldata signature
                              ) = parsePaymasterAndData(userOp.paymasterAndData);
                              // solhint-disable-next-line reason-string
                              require(
                                  signature.length == 64 || signature.length == 65,
                                  "VerifyingPaymaster: invalid signature length in paymasterAndData"
                              );
                              bytes32 hash = ECDSA.toEthSignedMessageHash(getHash(userOp, validUntil, validAfter, erc20Token, exchangeRate));
                              context = "";
                              if (erc20Token != address(0)) {
                                  context = abi.encode(
                                      userOp.sender,
                                      erc20Token,
                                      exchangeRate,
                                      userOp.maxFeePerGas,
                                      userOp.maxPriorityFeePerGas
                                  );
                              }
                              if (verifier != ECDSA.recover(hash, signature)) {
                                  return (context, Helpers._packValidationData(true, validUntil, validAfter));
                              }
                              return (context, Helpers._packValidationData(false, validUntil, validAfter));
                          }
                          function _postOp(PostOpMode mode, bytes calldata context, uint256 actualGasCost) internal override {
                              (address sender, IERC20 token, uint256 exchangeRate, uint256 maxFeePerGas, uint256 maxPriorityFeePerGas) = abi
                                  .decode(context, (address, IERC20, uint256, uint256, uint256));
                              uint256 opGasPrice;
                              unchecked {
                                  if (maxFeePerGas == maxPriorityFeePerGas) {
                                      opGasPrice = maxFeePerGas;
                                  } else {
                                      opGasPrice = Math.min(maxFeePerGas, maxPriorityFeePerGas + block.basefee);
                                  }
                              }
                              uint256 actualTokenCost = ((actualGasCost + (POST_OP_GAS * opGasPrice)) * exchangeRate) / 1e18;
                              if (mode != PostOpMode.postOpReverted) {
                                  token.safeTransferFrom(sender, vault, actualTokenCost);
                              }
                          }
                          function parsePaymasterAndData(
                              bytes calldata paymasterAndData
                          )
                              public
                              pure
                              returns (
                                  uint48 validUntil,
                                  uint48 validAfter,
                                  address erc20Token,
                                  uint256 exchangeRate,
                                  bytes calldata signature
                              )
                          {
                              (validUntil, validAfter, erc20Token, exchangeRate) = abi.decode(
                                  paymasterAndData[VALID_PND_OFFSET:SIGNATURE_OFFSET],
                                  (uint48, uint48, address, uint256)
                              );
                              signature = paymasterAndData[SIGNATURE_OFFSET:];
                          }
                      }
                      

                      File 4 of 4: MultiSend
                      // SPDX-License-Identifier: LGPL-3.0-only
                      pragma solidity >=0.7.0 <0.9.0;
                      /// @title Multi Send - Allows to batch multiple transactions into one.
                      /// @author Nick Dodson - <nick.dodson@consensys.net>
                      /// @author Gonçalo Sá - <goncalo.sa@consensys.net>
                      /// @author Stefan George - <stefan@gnosis.io>
                      /// @author Richard Meissner - <richard@gnosis.io>
                      contract MultiSend {
                          address private immutable multisendSingleton;
                          constructor() {
                              multisendSingleton = address(this);
                          }
                          /// @dev Sends multiple transactions and reverts all if one fails.
                          /// @param transactions Encoded transactions. Each transaction is encoded as a packed bytes of
                          ///                     operation as a uint8 with 0 for a call or 1 for a delegatecall (=> 1 byte),
                          ///                     to as a address (=> 20 bytes),
                          ///                     value as a uint256 (=> 32 bytes),
                          ///                     data length as a uint256 (=> 32 bytes),
                          ///                     data as bytes.
                          ///                     see abi.encodePacked for more information on packed encoding
                          /// @notice This method is payable as delegatecalls keep the msg.value from the previous call
                          ///         If the calling method (e.g. execTransaction) received ETH this would revert otherwise
                          function multiSend(bytes memory transactions) public payable {
                              require(address(this) != multisendSingleton, "MultiSend should only be called via delegatecall");
                              // solhint-disable-next-line no-inline-assembly
                              assembly {
                                  let length := mload(transactions)
                                  let i := 0x20
                                  for {
                                      // Pre block is not used in "while mode"
                                  } lt(i, length) {
                                      // Post block is not used in "while mode"
                                  } {
                                      // First byte of the data is the operation.
                                      // We shift by 248 bits (256 - 8 [operation byte]) it right since mload will always load 32 bytes (a word).
                                      // This will also zero out unused data.
                                      let operation := shr(0xf8, mload(add(transactions, i)))
                                      // We offset the load address by 1 byte (operation byte)
                                      // We shift it right by 96 bits (256 - 160 [20 address bytes]) to right-align the data and zero out unused data.
                                      let to := shr(0x60, mload(add(transactions, add(i, 0x01))))
                                      // We offset the load address by 21 byte (operation byte + 20 address bytes)
                                      let value := mload(add(transactions, add(i, 0x15)))
                                      // We offset the load address by 53 byte (operation byte + 20 address bytes + 32 value bytes)
                                      let dataLength := mload(add(transactions, add(i, 0x35)))
                                      // We offset the load address by 85 byte (operation byte + 20 address bytes + 32 value bytes + 32 data length bytes)
                                      let data := add(transactions, add(i, 0x55))
                                      let success := 0
                                      switch operation
                                          case 0 {
                                              success := call(gas(), to, value, data, dataLength, 0, 0)
                                          }
                                          case 1 {
                                              success := delegatecall(gas(), to, data, dataLength, 0, 0)
                                          }
                                      if eq(success, 0) {
                                          revert(0, 0)
                                      }
                                      // Next entry starts at 85 byte + data length
                                      i := add(i, add(0x55, dataLength))
                                  }
                              }
                          }
                      }