ETH Price: $2,150.99 (+0.87%)
Gas: 0.05 Gwei

Transaction Decoder

Block:
24683029 at Mar-18-2026 07:59:23 AM +UTC
Transaction Fee:
0.000008504994741297 ETH $0.02
Gas Used:
153,897 Gas / 0.055264201 Gwei

Emitted Events:

387 EntryPoint.BeforeExecution( )
388 TetherToken.Transfer( from=0x6C5fc3f341D3CF060B8d13A24eB38Ca820abaec7, to=0x1481e58411608B2d628Ef305b92B01cF4f83DB70, value=150000000 )
389 TetherToken.Transfer( from=0x6C5fc3f341D3CF060B8d13A24eB38Ca820abaec7, to=0x0926338cEdEeB18eAb6ee28235f74cbF643e59e5, value=62965 )
390 0x0926338cedeeb18eab6ee28235f74cbf643e59e5.0x8eac73c060a009dc041f45bb6ceb6bab7c79a4e3659e2d74bce1bbfbdcf0f554( 0x8eac73c060a009dc041f45bb6ceb6bab7c79a4e3659e2d74bce1bbfbdcf0f554, 0xd50f6af6bb10fd5b3e4e16794c2579b3035ed66bad160afee8bb2beb53e2ecbf, 0x0000000000000000000000006c5fc3f341d3cf060b8d13a24eb38ca820abaec7, 0000000000000000000000000000000000000000000000000000000000000000, 000000000000000000000000000000000000000000000000000009fbe3b1b6c9, 000000000000000000000000000000000000000000000000000000000000f5f5 )
391 EntryPoint.UserOperationEvent( userOpHash=5A43EA63B6E5A8B9FB79B582475685A8E0495C72DA96343707E4CDFCEA2680F9, sender=0x6C5fc3f341D3CF060B8d13A24eB38Ca820abaec7, paymaster=0x0926338cEdEeB18eAb6ee28235f74cbF643e59e5, nonce=32721217449169345366618808516608, success=True, actualGasCost=8872985674230, actualGasUsed=166470 )

Account State Difference:

  Address   Before After State Difference Code
(quasarbuilder)
9.38957429937946786 Eth9.389574601542222733 Eth0.000000302162754873
0x4337084D...E3b5Ff108
(Entry Point 0.8.0)
4.721745709765656327 Eth4.721736836779982097 Eth0.00000887298567423
0x95C93D3e...85B219826
(Bundler: 0x95c...826)
0.013972684248846672 Eth
Nonce: 7350
0.013973052239779605 Eth
Nonce: 7351
0.000000367990932933
0xdAC17F95...13D831ec7

Execution Trace

EntryPoint.handleOps( ops=, beneficiary=0x95C93D3e0D387D0bf0BD3C1861092ca85B219826 )
  • 0x6c5fc3f341d3cf060b8d13a24eb38ca820abaec7.19822f7c( )
    • Null: 0x000...001.5a43ea63( )
    • 0x0926338cedeeb18eab6ee28235f74cbf643e59e5.52b7512c( )
      • Null: 0x000...001.d50f6af6( )
      • TetherToken.balanceOf( who=0x0926338cEdEeB18eAb6ee28235f74cbF643e59e5 ) => ( 1171914747 )
      • 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:0x6C5fc3f341D3CF060B8d13A24eB38Ca820abaec7, valueString:0x6C5fc3f341D3CF060B8d13A24eB38Ca820abaec7}, {name:nonce, type:uint256, order:2, indexed:false, value:32721217449169345366618808516608, valueString:32721217449169345366618808516608}, {name:verificationGasLimit, type:uint256, order:3, indexed:false, value:49783, valueString:49783}, {name:callGasLimit, type:uint256, order:4, indexed:false, value:46457, valueString:46457}, {name:paymasterVerificationGasLimit, type:uint256, order:5, indexed:false, value:50000, valueString:50000}, {name:paymasterPostOpGasLimit, type:uint256, order:6, indexed:false, value:50000, valueString:50000}, {name:preVerificationGas, type:uint256, order:7, indexed:false, value:57235, valueString:57235}, {name:paymaster, type:address, order:8, indexed:false, value:0x0926338cEdEeB18eAb6ee28235f74cbF643e59e5, valueString:0x0926338cEdEeB18eAb6ee28235f74cbF643e59e5}, {name:maxFeePerGas, type:uint256, order:9, indexed:false, value:74417041, valueString:74417041}, {name:maxPriorityFeePerGas, type:uint256, order:10, indexed:false, value:17, valueString:17}], valueString:[{name:sender, type:address, order:1, indexed:false, value:0x6C5fc3f341D3CF060B8d13A24eB38Ca820abaec7, valueString:0x6C5fc3f341D3CF060B8d13A24eB38Ca820abaec7}, {name:nonce, type:uint256, order:2, indexed:false, value:32721217449169345366618808516608, valueString:32721217449169345366618808516608}, {name:verificationGasLimit, type:uint256, order:3, indexed:false, value:49783, valueString:49783}, {name:callGasLimit, type:uint256, order:4, indexed:false, value:46457, valueString:46457}, {name:paymasterVerificationGasLimit, type:uint256, order:5, indexed:false, value:50000, valueString:50000}, {name:paymasterPostOpGasLimit, type:uint256, order:6, indexed:false, value:50000, valueString:50000}, {name:preVerificationGas, type:uint256, order:7, indexed:false, value:57235, valueString:57235}, {name:paymaster, type:address, order:8, indexed:false, value:0x0926338cEdEeB18eAb6ee28235f74cbF643e59e5, valueString:0x0926338cEdEeB18eAb6ee28235f74cbF643e59e5}, {name:maxFeePerGas, type:uint256, order:9, indexed:false, value:74417041, valueString:74417041}, {name:maxPriorityFeePerGas, type:uint256, order:10, indexed:false, value:17, valueString:17}]}, {name:userOpHash, type:bytes32, order:2, indexed:false, value:5A43EA63B6E5A8B9FB79B582475685A8E0495C72DA96343707E4CDFCEA2680F9, valueString:5A43EA63B6E5A8B9FB79B582475685A8E0495C72DA96343707E4CDFCEA2680F9}, {name:prefund, type:uint256, order:3, indexed:false, value:18862859467475, valueString:18862859467475}, {name:contextOffset, type:uint256, order:4, indexed:false, value:960, valueString:960}, {name:preOpGas, type:uint256, order:5, indexed:false, value:123087, valueString:123087}], context=0x0000000000000000000000006C5FC3F341D3CF060B8D13A24EB38CA820ABAEC7000000000000000000000000DAC17F958D2EE523A2206206994597C13D831EC70000000000000000000000000000000000000000000000000000000045D9FFFB00000000000000000000000000000000000000000000000000001127DA09BAD30000000000000000000000000000000000000000000000000000000000000000D50F6AF6BB10FD5B3E4E16794C2579B3035ED66BAD160AFEE8BB2BEB53E2ECBF ) => ( actualGasCost=8872985674230 )
        • 0x6c5fc3f341d3cf060b8d13a24eb38ca820abaec7.34fcd5be( )
          • TetherToken.transfer( _to=0x1481e58411608B2d628Ef305b92B01cF4f83DB70, _value=150000000 )
          • TetherToken.transfer( _to=0x0926338cEdEeB18eAb6ee28235f74cbF643e59e5, _value=62965 )
          • 0x0926338cedeeb18eab6ee28235f74cbf643e59e5.7c627b21( )
            • TetherToken.balanceOf( who=0x0926338cEdEeB18eAb6ee28235f74cbF643e59e5 ) => ( 1171977712 )
            • ETH 0.00000887298567423 Bundler: 0x95c...826.CALL( )
              File 1 of 2: EntryPoint
              // 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 v5.1.0) (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 v5.1.0) (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[ERC-191] and https://eips.ethereum.org/EIPS/eip-712[EIP 712]
               * specifications.
               */
              library MessageHashUtils {
                  /**
                   * @dev Returns the keccak256 digest of an ERC-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) {
                      assembly ("memory-safe") {
                          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 ERC-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 ERC-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 (ERC-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) {
                      assembly ("memory-safe") {
                          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 v5.1.0) (utils/introspection/ERC165.sol)
              pragma solidity ^0.8.20;
              import {IERC165} from "./IERC165.sol";
              /**
               * @dev Implementation of the {IERC165} interface.
               *
               * Contracts that want to implement ERC-165 should inherit from this contract and override {supportsInterface} to check
               * for the additional interface id that will be supported. For example:
               *
               * ```solidity
               * function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
               *     return interfaceId == type(MyInterface).interfaceId || super.supportsInterface(interfaceId);
               * }
               * ```
               */
              abstract contract ERC165 is IERC165 {
                  /**
                   * @dev See {IERC165-supportsInterface}.
                   */
                  function supportsInterface(bytes4 interfaceId) public view virtual returns (bool) {
                      return interfaceId == type(IERC165).interfaceId;
                  }
              }
              // SPDX-License-Identifier: MIT
              // OpenZeppelin Contracts (last updated v5.1.0) (utils/introspection/IERC165.sol)
              pragma solidity ^0.8.20;
              /**
               * @dev Interface of the ERC-165 standard, as defined in the
               * https://eips.ethereum.org/EIPS/eip-165[ERC].
               *
               * Implementers can declare support of contract interfaces, which can then be
               * queried by others ({ERC165Checker}).
               *
               * For an implementation, see {ERC165}.
               */
              interface IERC165 {
                  /**
                   * @dev Returns true if this contract implements the interface defined by
                   * `interfaceId`. See the corresponding
                   * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[ERC section]
                   * to learn more about how these ids are created.
                   *
                   * This function call must use less than 30 000 gas.
                   */
                  function supportsInterface(bytes4 interfaceId) external view returns (bool);
              }
              // SPDX-License-Identifier: MIT
              // OpenZeppelin Contracts (last updated v5.1.0) (utils/math/Math.sol)
              pragma solidity ^0.8.20;
              import {Panic} from "../Panic.sol";
              import {SafeCast} from "./SafeCast.sol";
              /**
               * @dev Standard math utilities missing in the Solidity language.
               */
              library Math {
                  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 success flag (no overflow).
                   */
                  function tryAdd(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {
                      unchecked {
                          uint256 c = a + b;
                          if (c < a) return (false, 0);
                          return (true, c);
                      }
                  }
                  /**
                   * @dev Returns the subtraction of two unsigned integers, with an success flag (no overflow).
                   */
                  function trySub(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {
                      unchecked {
                          if (b > a) return (false, 0);
                          return (true, a - b);
                      }
                  }
                  /**
                   * @dev Returns the multiplication of two unsigned integers, with an success flag (no overflow).
                   */
                  function tryMul(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {
                      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 success flag (no division by zero).
                   */
                  function tryDiv(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {
                      unchecked {
                          if (b == 0) return (false, 0);
                          return (true, a / b);
                      }
                  }
                  /**
                   * @dev Returns the remainder of dividing two unsigned integers, with a success flag (no division by zero).
                   */
                  function tryMod(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {
                      unchecked {
                          if (b == 0) return (false, 0);
                          return (true, a % b);
                      }
                  }
                  /**
                   * @dev Branchless ternary evaluation for `a ? b : c`. Gas costs are constant.
                   *
                   * IMPORTANT: This function may reduce bytecode size and consume less gas when used standalone.
                   * However, the compiler may optimize Solidity ternary operations (i.e. `a ? b : c`) to only compute
                   * one branch when needed, making this function more expensive.
                   */
                  function ternary(bool condition, uint256 a, uint256 b) internal pure returns (uint256) {
                      unchecked {
                          // branchless ternary works because:
                          // b ^ (a ^ b) == a
                          // b ^ 0 == b
                          return b ^ ((a ^ b) * SafeCast.toUint(condition));
                      }
                  }
                  /**
                   * @dev Returns the largest of two numbers.
                   */
                  function max(uint256 a, uint256 b) internal pure returns (uint256) {
                      return ternary(a > b, a, b);
                  }
                  /**
                   * @dev Returns the smallest of two numbers.
                   */
                  function min(uint256 a, uint256 b) internal pure returns (uint256) {
                      return ternary(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.
                          Panic.panic(Panic.DIVISION_BY_ZERO);
                      }
                      // The following calculation ensures accurate ceiling division without overflow.
                      // Since a is non-zero, (a - 1) / b will not overflow.
                      // The largest possible result occurs when (a - 1) / b is type(uint256).max,
                      // but the largest value we can obtain is type(uint256).max - 1, which happens
                      // when a = type(uint256).max and b = 1.
                      unchecked {
                          return SafeCast.toUint(a > 0) * ((a - 1) / b + 1);
                      }
                  }
                  /**
                   * @dev Calculates floor(x * y / denominator) with full precision. Throws if result overflows a uint256 or
                   * denominator == 0.
                   *
                   * 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 2²⁵⁶ and mod 2²⁵⁶ - 1, then use
                          // the Chinese Remainder Theorem to reconstruct the 512 bit result. The result is stored in two 256
                          // variables such that product = prod1 * 2²⁵⁶ + 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 2²⁵⁶. Also prevents denominator == 0.
                          if (denominator <= prod1) {
                              Panic.panic(ternary(denominator == 0, Panic.DIVISION_BY_ZERO, Panic.UNDER_OVERFLOW));
                          }
                          ///////////////////////////////////////////////
                          // 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 2²⁵⁶ / 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 2²⁵⁶. Now that denominator is an odd number, it has an inverse modulo 2²⁵⁶ such
                          // that denominator * inv ≡ 1 mod 2²⁵⁶. Compute the inverse by starting with a seed that is correct for
                          // four bits. That is, denominator * inv ≡ 1 mod 2⁴.
                          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 2⁸
                          inverse *= 2 - denominator * inverse; // inverse mod 2¹⁶
                          inverse *= 2 - denominator * inverse; // inverse mod 2³²
                          inverse *= 2 - denominator * inverse; // inverse mod 2⁶⁴
                          inverse *= 2 - denominator * inverse; // inverse mod 2¹²⁸
                          inverse *= 2 - denominator * inverse; // inverse mod 2²⁵⁶
                          // 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 2²⁵⁶. Since the preconditions guarantee that the outcome is
                          // less than 2²⁵⁶, 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;
                      }
                  }
                  /**
                   * @dev 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) {
                      return mulDiv(x, y, denominator) + SafeCast.toUint(unsignedRoundsUp(rounding) && mulmod(x, y, denominator) > 0);
                  }
                  /**
                   * @dev Calculate the modular multiplicative inverse of a number in Z/nZ.
                   *
                   * If n is a prime, then Z/nZ is a field. In that case all elements are inversible, except 0.
                   * If n is not a prime, then Z/nZ is not a field, and some elements might not be inversible.
                   *
                   * If the input value is not inversible, 0 is returned.
                   *
                   * NOTE: If you know for sure that n is (big) a prime, it may be cheaper to use Fermat's little theorem and get the
                   * inverse using `Math.modExp(a, n - 2, n)`. See {invModPrime}.
                   */
                  function invMod(uint256 a, uint256 n) internal pure returns (uint256) {
                      unchecked {
                          if (n == 0) return 0;
                          // The inverse modulo is calculated using the Extended Euclidean Algorithm (iterative version)
                          // Used to compute integers x and y such that: ax + ny = gcd(a, n).
                          // When the gcd is 1, then the inverse of a modulo n exists and it's x.
                          // ax + ny = 1
                          // ax = 1 + (-y)n
                          // ax ≡ 1 (mod n) # x is the inverse of a modulo n
                          // If the remainder is 0 the gcd is n right away.
                          uint256 remainder = a % n;
                          uint256 gcd = n;
                          // Therefore the initial coefficients are:
                          // ax + ny = gcd(a, n) = n
                          // 0a + 1n = n
                          int256 x = 0;
                          int256 y = 1;
                          while (remainder != 0) {
                              uint256 quotient = gcd / remainder;
                              (gcd, remainder) = (
                                  // The old remainder is the next gcd to try.
                                  remainder,
                                  // Compute the next remainder.
                                  // Can't overflow given that (a % gcd) * (gcd // (a % gcd)) <= gcd
                                  // where gcd is at most n (capped to type(uint256).max)
                                  gcd - remainder * quotient
                              );
                              (x, y) = (
                                  // Increment the coefficient of a.
                                  y,
                                  // Decrement the coefficient of n.
                                  // Can overflow, but the result is casted to uint256 so that the
                                  // next value of y is "wrapped around" to a value between 0 and n - 1.
                                  x - y * int256(quotient)
                              );
                          }
                          if (gcd != 1) return 0; // No inverse exists.
                          return ternary(x < 0, n - uint256(-x), uint256(x)); // Wrap the result if it's negative.
                      }
                  }
                  /**
                   * @dev Variant of {invMod}. More efficient, but only works if `p` is known to be a prime greater than `2`.
                   *
                   * From https://en.wikipedia.org/wiki/Fermat%27s_little_theorem[Fermat's little theorem], we know that if p is
                   * prime, then `a**(p-1) ≡ 1 mod p`. As a consequence, we have `a * a**(p-2) ≡ 1 mod p`, which means that
                   * `a**(p-2)` is the modular multiplicative inverse of a in Fp.
                   *
                   * NOTE: this function does NOT check that `p` is a prime greater than `2`.
                   */
                  function invModPrime(uint256 a, uint256 p) internal view returns (uint256) {
                      unchecked {
                          return Math.modExp(a, p - 2, p);
                      }
                  }
                  /**
                   * @dev Returns the modular exponentiation of the specified base, exponent and modulus (b ** e % m)
                   *
                   * Requirements:
                   * - modulus can't be zero
                   * - underlying staticcall to precompile must succeed
                   *
                   * IMPORTANT: The result is only valid if the underlying call succeeds. When using this function, make
                   * sure the chain you're using it on supports the precompiled contract for modular exponentiation
                   * at address 0x05 as specified in https://eips.ethereum.org/EIPS/eip-198[EIP-198]. Otherwise,
                   * the underlying function will succeed given the lack of a revert, but the result may be incorrectly
                   * interpreted as 0.
                   */
                  function modExp(uint256 b, uint256 e, uint256 m) internal view returns (uint256) {
                      (bool success, uint256 result) = tryModExp(b, e, m);
                      if (!success) {
                          Panic.panic(Panic.DIVISION_BY_ZERO);
                      }
                      return result;
                  }
                  /**
                   * @dev Returns the modular exponentiation of the specified base, exponent and modulus (b ** e % m).
                   * It includes a success flag indicating if the operation succeeded. Operation will be marked as failed if trying
                   * to operate modulo 0 or if the underlying precompile reverted.
                   *
                   * IMPORTANT: The result is only valid if the success flag is true. When using this function, make sure the chain
                   * you're using it on supports the precompiled contract for modular exponentiation at address 0x05 as specified in
                   * https://eips.ethereum.org/EIPS/eip-198[EIP-198]. Otherwise, the underlying function will succeed given the lack
                   * of a revert, but the result may be incorrectly interpreted as 0.
                   */
                  function tryModExp(uint256 b, uint256 e, uint256 m) internal view returns (bool success, uint256 result) {
                      if (m == 0) return (false, 0);
                      assembly ("memory-safe") {
                          let ptr := mload(0x40)
                          // | Offset    | Content    | Content (Hex)                                                      |
                          // |-----------|------------|--------------------------------------------------------------------|
                          // | 0x00:0x1f | size of b  | 0x0000000000000000000000000000000000000000000000000000000000000020 |
                          // | 0x20:0x3f | size of e  | 0x0000000000000000000000000000000000000000000000000000000000000020 |
                          // | 0x40:0x5f | size of m  | 0x0000000000000000000000000000000000000000000000000000000000000020 |
                          // | 0x60:0x7f | value of b | 0x<.............................................................b> |
                          // | 0x80:0x9f | value of e | 0x<.............................................................e> |
                          // | 0xa0:0xbf | value of m | 0x<.............................................................m> |
                          mstore(ptr, 0x20)
                          mstore(add(ptr, 0x20), 0x20)
                          mstore(add(ptr, 0x40), 0x20)
                          mstore(add(ptr, 0x60), b)
                          mstore(add(ptr, 0x80), e)
                          mstore(add(ptr, 0xa0), m)
                          // Given the result < m, it's guaranteed to fit in 32 bytes,
                          // so we can use the memory scratch space located at offset 0.
                          success := staticcall(gas(), 0x05, ptr, 0xc0, 0x00, 0x20)
                          result := mload(0x00)
                      }
                  }
                  /**
                   * @dev Variant of {modExp} that supports inputs of arbitrary length.
                   */
                  function modExp(bytes memory b, bytes memory e, bytes memory m) internal view returns (bytes memory) {
                      (bool success, bytes memory result) = tryModExp(b, e, m);
                      if (!success) {
                          Panic.panic(Panic.DIVISION_BY_ZERO);
                      }
                      return result;
                  }
                  /**
                   * @dev Variant of {tryModExp} that supports inputs of arbitrary length.
                   */
                  function tryModExp(
                      bytes memory b,
                      bytes memory e,
                      bytes memory m
                  ) internal view returns (bool success, bytes memory result) {
                      if (_zeroBytes(m)) return (false, new bytes(0));
                      uint256 mLen = m.length;
                      // Encode call args in result and move the free memory pointer
                      result = abi.encodePacked(b.length, e.length, mLen, b, e, m);
                      assembly ("memory-safe") {
                          let dataPtr := add(result, 0x20)
                          // Write result on top of args to avoid allocating extra memory.
                          success := staticcall(gas(), 0x05, dataPtr, mload(result), dataPtr, mLen)
                          // Overwrite the length.
                          // result.length > returndatasize() is guaranteed because returndatasize() == m.length
                          mstore(result, mLen)
                          // Set the memory pointer after the returned data.
                          mstore(0x40, add(dataPtr, mLen))
                      }
                  }
                  /**
                   * @dev Returns whether the provided byte array is zero.
                   */
                  function _zeroBytes(bytes memory byteArray) private pure returns (bool) {
                      for (uint256 i = 0; i < byteArray.length; ++i) {
                          if (byteArray[i] != 0) {
                              return false;
                          }
                      }
                      return true;
                  }
                  /**
                   * @dev Returns the square root of a number. If the number is not a perfect square, the value is rounded
                   * towards zero.
                   *
                   * This method is based on Newton's method for computing square roots; the algorithm is restricted to only
                   * using integer operations.
                   */
                  function sqrt(uint256 a) internal pure returns (uint256) {
                      unchecked {
                          // Take care of easy edge cases when a == 0 or a == 1
                          if (a <= 1) {
                              return a;
                          }
                          // In this function, we use Newton's method to get a root of `f(x) := x² - a`. It involves building a
                          // sequence x_n that converges toward sqrt(a). For each iteration x_n, we also define the error between
                          // the current value as `ε_n = | x_n - sqrt(a) |`.
                          //
                          // For our first estimation, we consider `e` the smallest power of 2 which is bigger than the square root
                          // of the target. (i.e. `2**(e-1) ≤ sqrt(a) < 2**e`). We know that `e ≤ 128` because `(2¹²⁸)² = 2²⁵⁶` is
                          // bigger than any uint256.
                          //
                          // By noticing that
                          // `2**(e-1) ≤ sqrt(a) < 2**e → (2**(e-1))² ≤ a < (2**e)² → 2**(2*e-2) ≤ a < 2**(2*e)`
                          // we can deduce that `e - 1` is `log2(a) / 2`. We can thus compute `x_n = 2**(e-1)` using a method similar
                          // to the msb function.
                          uint256 aa = a;
                          uint256 xn = 1;
                          if (aa >= (1 << 128)) {
                              aa >>= 128;
                              xn <<= 64;
                          }
                          if (aa >= (1 << 64)) {
                              aa >>= 64;
                              xn <<= 32;
                          }
                          if (aa >= (1 << 32)) {
                              aa >>= 32;
                              xn <<= 16;
                          }
                          if (aa >= (1 << 16)) {
                              aa >>= 16;
                              xn <<= 8;
                          }
                          if (aa >= (1 << 8)) {
                              aa >>= 8;
                              xn <<= 4;
                          }
                          if (aa >= (1 << 4)) {
                              aa >>= 4;
                              xn <<= 2;
                          }
                          if (aa >= (1 << 2)) {
                              xn <<= 1;
                          }
                          // We now have x_n such that `x_n = 2**(e-1) ≤ sqrt(a) < 2**e = 2 * x_n`. This implies ε_n ≤ 2**(e-1).
                          //
                          // We can refine our estimation by noticing that the middle of that interval minimizes the error.
                          // If we move x_n to equal 2**(e-1) + 2**(e-2), then we reduce the error to ε_n ≤ 2**(e-2).
                          // This is going to be our x_0 (and ε_0)
                          xn = (3 * xn) >> 1; // ε_0 := | x_0 - sqrt(a) | ≤ 2**(e-2)
                          // From here, Newton's method give us:
                          // x_{n+1} = (x_n + a / x_n) / 2
                          //
                          // One should note that:
                          // x_{n+1}² - a = ((x_n + a / x_n) / 2)² - a
                          //              = ((x_n² + a) / (2 * x_n))² - a
                          //              = (x_n⁴ + 2 * a * x_n² + a²) / (4 * x_n²) - a
                          //              = (x_n⁴ + 2 * a * x_n² + a² - 4 * a * x_n²) / (4 * x_n²)
                          //              = (x_n⁴ - 2 * a * x_n² + a²) / (4 * x_n²)
                          //              = (x_n² - a)² / (2 * x_n)²
                          //              = ((x_n² - a) / (2 * x_n))²
                          //              ≥ 0
                          // Which proves that for all n ≥ 1, sqrt(a) ≤ x_n
                          //
                          // This gives us the proof of quadratic convergence of the sequence:
                          // ε_{n+1} = | x_{n+1} - sqrt(a) |
                          //         = | (x_n + a / x_n) / 2 - sqrt(a) |
                          //         = | (x_n² + a - 2*x_n*sqrt(a)) / (2 * x_n) |
                          //         = | (x_n - sqrt(a))² / (2 * x_n) |
                          //         = | ε_n² / (2 * x_n) |
                          //         = ε_n² / | (2 * x_n) |
                          //
                          // For the first iteration, we have a special case where x_0 is known:
                          // ε_1 = ε_0² / | (2 * x_0) |
                          //     ≤ (2**(e-2))² / (2 * (2**(e-1) + 2**(e-2)))
                          //     ≤ 2**(2*e-4) / (3 * 2**(e-1))
                          //     ≤ 2**(e-3) / 3
                          //     ≤ 2**(e-3-log2(3))
                          //     ≤ 2**(e-4.5)
                          //
                          // For the following iterations, we use the fact that, 2**(e-1) ≤ sqrt(a) ≤ x_n:
                          // ε_{n+1} = ε_n² / | (2 * x_n) |
                          //         ≤ (2**(e-k))² / (2 * 2**(e-1))
                          //         ≤ 2**(2*e-2*k) / 2**e
                          //         ≤ 2**(e-2*k)
                          xn = (xn + a / xn) >> 1; // ε_1 := | x_1 - sqrt(a) | ≤ 2**(e-4.5)  -- special case, see above
                          xn = (xn + a / xn) >> 1; // ε_2 := | x_2 - sqrt(a) | ≤ 2**(e-9)    -- general case with k = 4.5
                          xn = (xn + a / xn) >> 1; // ε_3 := | x_3 - sqrt(a) | ≤ 2**(e-18)   -- general case with k = 9
                          xn = (xn + a / xn) >> 1; // ε_4 := | x_4 - sqrt(a) | ≤ 2**(e-36)   -- general case with k = 18
                          xn = (xn + a / xn) >> 1; // ε_5 := | x_5 - sqrt(a) | ≤ 2**(e-72)   -- general case with k = 36
                          xn = (xn + a / xn) >> 1; // ε_6 := | x_6 - sqrt(a) | ≤ 2**(e-144)  -- general case with k = 72
                          // Because e ≤ 128 (as discussed during the first estimation phase), we know have reached a precision
                          // ε_6 ≤ 2**(e-144) < 1. Given we're operating on integers, then we can ensure that xn is now either
                          // sqrt(a) or sqrt(a) + 1.
                          return xn - SafeCast.toUint(xn > a / xn);
                      }
                  }
                  /**
                   * @dev 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 + SafeCast.toUint(unsignedRoundsUp(rounding) && result * result < a);
                      }
                  }
                  /**
                   * @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;
                      uint256 exp;
                      unchecked {
                          exp = 128 * SafeCast.toUint(value > (1 << 128) - 1);
                          value >>= exp;
                          result += exp;
                          exp = 64 * SafeCast.toUint(value > (1 << 64) - 1);
                          value >>= exp;
                          result += exp;
                          exp = 32 * SafeCast.toUint(value > (1 << 32) - 1);
                          value >>= exp;
                          result += exp;
                          exp = 16 * SafeCast.toUint(value > (1 << 16) - 1);
                          value >>= exp;
                          result += exp;
                          exp = 8 * SafeCast.toUint(value > (1 << 8) - 1);
                          value >>= exp;
                          result += exp;
                          exp = 4 * SafeCast.toUint(value > (1 << 4) - 1);
                          value >>= exp;
                          result += exp;
                          exp = 2 * SafeCast.toUint(value > (1 << 2) - 1);
                          value >>= exp;
                          result += exp;
                          result += SafeCast.toUint(value > 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 + SafeCast.toUint(unsignedRoundsUp(rounding) && 1 << result < value);
                      }
                  }
                  /**
                   * @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 + SafeCast.toUint(unsignedRoundsUp(rounding) && 10 ** result < value);
                      }
                  }
                  /**
                   * @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;
                      uint256 isGt;
                      unchecked {
                          isGt = SafeCast.toUint(value > (1 << 128) - 1);
                          value >>= isGt * 128;
                          result += isGt * 16;
                          isGt = SafeCast.toUint(value > (1 << 64) - 1);
                          value >>= isGt * 64;
                          result += isGt * 8;
                          isGt = SafeCast.toUint(value > (1 << 32) - 1);
                          value >>= isGt * 32;
                          result += isGt * 4;
                          isGt = SafeCast.toUint(value > (1 << 16) - 1);
                          value >>= isGt * 16;
                          result += isGt * 2;
                          result += SafeCast.toUint(value > (1 << 8) - 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 + SafeCast.toUint(unsignedRoundsUp(rounding) && 1 << (result << 3) < value);
                      }
                  }
                  /**
                   * @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 v5.1.0) (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/bool 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);
                  }
                  /**
                   * @dev Cast a boolean (false or true) to a uint256 (0 or 1) with no jump.
                   */
                  function toUint(bool b) internal pure returns (uint256 u) {
                      assembly ("memory-safe") {
                          u := iszero(iszero(b))
                      }
                  }
              }
              // SPDX-License-Identifier: MIT
              // OpenZeppelin Contracts (last updated v5.1.0) (utils/math/SignedMath.sol)
              pragma solidity ^0.8.20;
              import {SafeCast} from "./SafeCast.sol";
              /**
               * @dev Standard signed math utilities missing in the Solidity language.
               */
              library SignedMath {
                  /**
                   * @dev Branchless ternary evaluation for `a ? b : c`. Gas costs are constant.
                   *
                   * IMPORTANT: This function may reduce bytecode size and consume less gas when used standalone.
                   * However, the compiler may optimize Solidity ternary operations (i.e. `a ? b : c`) to only compute
                   * one branch when needed, making this function more expensive.
                   */
                  function ternary(bool condition, int256 a, int256 b) internal pure returns (int256) {
                      unchecked {
                          // branchless ternary works because:
                          // b ^ (a ^ b) == a
                          // b ^ 0 == b
                          return b ^ ((a ^ b) * int256(SafeCast.toUint(condition)));
                      }
                  }
                  /**
                   * @dev Returns the largest of two signed numbers.
                   */
                  function max(int256 a, int256 b) internal pure returns (int256) {
                      return ternary(a > b, a, b);
                  }
                  /**
                   * @dev Returns the smallest of two signed numbers.
                   */
                  function min(int256 a, int256 b) internal pure returns (int256) {
                      return ternary(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 {
                          // Formula from the "Bit Twiddling Hacks" by Sean Eron Anderson.
                          // Since `n` is a signed integer, the generated bytecode will use the SAR opcode to perform the right shift,
                          // taking advantage of the most significant (or "sign" bit) in two's complement representation.
                          // This opcode adds new most significant bits set to the value of the previous most significant bit. As a result,
                          // the mask will either be `bytes32(0)` (if n is positive) or `~bytes32(0)` (if n is negative).
                          int256 mask = n >> 255;
                          // A `bytes32(0)` mask leaves the input unchanged, while a `~bytes32(0)` mask complements it.
                          return uint256((n + mask) ^ mask);
                      }
                  }
              }
              // SPDX-License-Identifier: MIT
              // OpenZeppelin Contracts (last updated v5.1.0) (utils/Panic.sol)
              pragma solidity ^0.8.20;
              /**
               * @dev Helper library for emitting standardized panic codes.
               *
               * ```solidity
               * contract Example {
               *      using Panic for uint256;
               *
               *      // Use any of the declared internal constants
               *      function foo() { Panic.GENERIC.panic(); }
               *
               *      // Alternatively
               *      function foo() { Panic.panic(Panic.GENERIC); }
               * }
               * ```
               *
               * Follows the list from https://github.com/ethereum/solidity/blob/v0.8.24/libsolutil/ErrorCodes.h[libsolutil].
               *
               * _Available since v5.1._
               */
              // slither-disable-next-line unused-state
              library Panic {
                  /// @dev generic / unspecified error
                  uint256 internal constant GENERIC = 0x00;
                  /// @dev used by the assert() builtin
                  uint256 internal constant ASSERT = 0x01;
                  /// @dev arithmetic underflow or overflow
                  uint256 internal constant UNDER_OVERFLOW = 0x11;
                  /// @dev division or modulo by zero
                  uint256 internal constant DIVISION_BY_ZERO = 0x12;
                  /// @dev enum conversion error
                  uint256 internal constant ENUM_CONVERSION_ERROR = 0x21;
                  /// @dev invalid encoding in storage
                  uint256 internal constant STORAGE_ENCODING_ERROR = 0x22;
                  /// @dev empty array pop
                  uint256 internal constant EMPTY_ARRAY_POP = 0x31;
                  /// @dev array out of bounds access
                  uint256 internal constant ARRAY_OUT_OF_BOUNDS = 0x32;
                  /// @dev resource error (too large allocation or too large array)
                  uint256 internal constant RESOURCE_ERROR = 0x41;
                  /// @dev calling invalid internal function
                  uint256 internal constant INVALID_INTERNAL_FUNCTION = 0x51;
                  /// @dev Reverts with a panic code. Recommended to use with
                  /// the internal constants with predefined codes.
                  function panic(uint256 code) internal pure {
                      assembly ("memory-safe") {
                          mstore(0x00, 0x4e487b71)
                          mstore(0x20, code)
                          revert(0x1c, 0x24)
                      }
                  }
              }
              // SPDX-License-Identifier: MIT
              // OpenZeppelin Contracts (last updated v5.1.0) (utils/ReentrancyGuardTransient.sol)
              pragma solidity ^0.8.24;
              import {TransientSlot} from "./TransientSlot.sol";
              /**
               * @dev Variant of {ReentrancyGuard} that uses transient storage.
               *
               * NOTE: This variant only works on networks where EIP-1153 is available.
               *
               * _Available since v5.1._
               */
              abstract contract ReentrancyGuardTransient {
                  using TransientSlot for *;
                  // keccak256(abi.encode(uint256(keccak256("openzeppelin.storage.ReentrancyGuard")) - 1)) & ~bytes32(uint256(0xff))
                  bytes32 private constant REENTRANCY_GUARD_STORAGE =
                      0x9b779b17422d0df92223018b32b4d1fa46e071723d6817e2486d003becc55f00;
                  /**
                   * @dev Unauthorized reentrant call.
                   */
                  error ReentrancyGuardReentrantCall();
                  /**
                   * @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
                      if (_reentrancyGuardEntered()) {
                          revert ReentrancyGuardReentrantCall();
                      }
                      // Any calls to nonReentrant after this point will fail
                      REENTRANCY_GUARD_STORAGE.asBoolean().tstore(true);
                  }
                  function _nonReentrantAfter() private {
                      REENTRANCY_GUARD_STORAGE.asBoolean().tstore(false);
                  }
                  /**
                   * @dev Returns true if the reentrancy guard is currently set to "entered", which indicates there is a
                   * `nonReentrant` function in the call stack.
                   */
                  function _reentrancyGuardEntered() internal view returns (bool) {
                      return REENTRANCY_GUARD_STORAGE.asBoolean().tload();
                  }
              }
              // SPDX-License-Identifier: MIT
              // OpenZeppelin Contracts (last updated v5.1.0) (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);
                      assembly ("memory-safe") {
                          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 v5.1.0) (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 ERC-1967 implementation slot:
               * ```solidity
               * contract ERC1967 {
               *     // Define the slot. Alternatively, use the SlotDerivation library to derive the slot.
               *     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;
               *     }
               * }
               * ```
               *
               * TIP: Consider using this library along with {SlotDerivation}.
               */
              library StorageSlot {
                  struct AddressSlot {
                      address value;
                  }
                  struct BooleanSlot {
                      bool value;
                  }
                  struct Bytes32Slot {
                      bytes32 value;
                  }
                  struct Uint256Slot {
                      uint256 value;
                  }
                  struct Int256Slot {
                      int256 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) {
                      assembly ("memory-safe") {
                          r.slot := slot
                      }
                  }
                  /**
                   * @dev Returns a `BooleanSlot` with member `value` located at `slot`.
                   */
                  function getBooleanSlot(bytes32 slot) internal pure returns (BooleanSlot storage r) {
                      assembly ("memory-safe") {
                          r.slot := slot
                      }
                  }
                  /**
                   * @dev Returns a `Bytes32Slot` with member `value` located at `slot`.
                   */
                  function getBytes32Slot(bytes32 slot) internal pure returns (Bytes32Slot storage r) {
                      assembly ("memory-safe") {
                          r.slot := slot
                      }
                  }
                  /**
                   * @dev Returns a `Uint256Slot` with member `value` located at `slot`.
                   */
                  function getUint256Slot(bytes32 slot) internal pure returns (Uint256Slot storage r) {
                      assembly ("memory-safe") {
                          r.slot := slot
                      }
                  }
                  /**
                   * @dev Returns a `Int256Slot` with member `value` located at `slot`.
                   */
                  function getInt256Slot(bytes32 slot) internal pure returns (Int256Slot storage r) {
                      assembly ("memory-safe") {
                          r.slot := slot
                      }
                  }
                  /**
                   * @dev Returns a `StringSlot` with member `value` located at `slot`.
                   */
                  function getStringSlot(bytes32 slot) internal pure returns (StringSlot storage r) {
                      assembly ("memory-safe") {
                          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) {
                      assembly ("memory-safe") {
                          r.slot := store.slot
                      }
                  }
                  /**
                   * @dev Returns a `BytesSlot` with member `value` located at `slot`.
                   */
                  function getBytesSlot(bytes32 slot) internal pure returns (BytesSlot storage r) {
                      assembly ("memory-safe") {
                          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) {
                      assembly ("memory-safe") {
                          r.slot := store.slot
                      }
                  }
              }
              // SPDX-License-Identifier: MIT
              // OpenZeppelin Contracts (last updated v5.1.0) (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;
                          assembly ("memory-safe") {
                              ptr := add(buffer, add(32, length))
                          }
                          while (true) {
                              ptr--;
                              assembly ("memory-safe") {
                                  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 Converts an `address` with fixed length of 20 bytes to its checksummed ASCII `string` hexadecimal
                   * representation, according to EIP-55.
                   */
                  function toChecksumHexString(address addr) internal pure returns (string memory) {
                      bytes memory buffer = bytes(toHexString(addr));
                      // hash the hex part of buffer (skip length + 2 bytes, length 40)
                      uint256 hashValue;
                      assembly ("memory-safe") {
                          hashValue := shr(96, keccak256(add(buffer, 0x22), 40))
                      }
                      for (uint256 i = 41; i > 1; --i) {
                          // possible values for buffer[i] are 48 (0) to 57 (9) and 97 (a) to 102 (f)
                          if (hashValue & 0xf > 7 && uint8(buffer[i]) > 96) {
                              // case shift by xoring with 0x20
                              buffer[i] ^= 0x20;
                          }
                          hashValue >>= 4;
                      }
                      return string(buffer);
                  }
                  /**
                   * @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 v5.1.0) (utils/TransientSlot.sol)
              // This file was procedurally generated from scripts/generate/templates/TransientSlot.js.
              pragma solidity ^0.8.24;
              /**
               * @dev Library for reading and writing value-types to specific transient storage slots.
               *
               * Transient slots are often used to store temporary values that are removed after the current transaction.
               * This library helps with reading and writing to such slots without the need for inline assembly.
               *
               *  * Example reading and writing values using transient storage:
               * ```solidity
               * contract Lock {
               *     using TransientSlot for *;
               *
               *     // Define the slot. Alternatively, use the SlotDerivation library to derive the slot.
               *     bytes32 internal constant _LOCK_SLOT = 0xf4678858b2b588224636b8522b729e7722d32fc491da849ed75b3fdf3c84f542;
               *
               *     modifier locked() {
               *         require(!_LOCK_SLOT.asBoolean().tload());
               *
               *         _LOCK_SLOT.asBoolean().tstore(true);
               *         _;
               *         _LOCK_SLOT.asBoolean().tstore(false);
               *     }
               * }
               * ```
               *
               * TIP: Consider using this library along with {SlotDerivation}.
               */
              library TransientSlot {
                  /**
                   * @dev UDVT that represent a slot holding a address.
                   */
                  type AddressSlot is bytes32;
                  /**
                   * @dev Cast an arbitrary slot to a AddressSlot.
                   */
                  function asAddress(bytes32 slot) internal pure returns (AddressSlot) {
                      return AddressSlot.wrap(slot);
                  }
                  /**
                   * @dev UDVT that represent a slot holding a bool.
                   */
                  type BooleanSlot is bytes32;
                  /**
                   * @dev Cast an arbitrary slot to a BooleanSlot.
                   */
                  function asBoolean(bytes32 slot) internal pure returns (BooleanSlot) {
                      return BooleanSlot.wrap(slot);
                  }
                  /**
                   * @dev UDVT that represent a slot holding a bytes32.
                   */
                  type Bytes32Slot is bytes32;
                  /**
                   * @dev Cast an arbitrary slot to a Bytes32Slot.
                   */
                  function asBytes32(bytes32 slot) internal pure returns (Bytes32Slot) {
                      return Bytes32Slot.wrap(slot);
                  }
                  /**
                   * @dev UDVT that represent a slot holding a uint256.
                   */
                  type Uint256Slot is bytes32;
                  /**
                   * @dev Cast an arbitrary slot to a Uint256Slot.
                   */
                  function asUint256(bytes32 slot) internal pure returns (Uint256Slot) {
                      return Uint256Slot.wrap(slot);
                  }
                  /**
                   * @dev UDVT that represent a slot holding a int256.
                   */
                  type Int256Slot is bytes32;
                  /**
                   * @dev Cast an arbitrary slot to a Int256Slot.
                   */
                  function asInt256(bytes32 slot) internal pure returns (Int256Slot) {
                      return Int256Slot.wrap(slot);
                  }
                  /**
                   * @dev Load the value held at location `slot` in transient storage.
                   */
                  function tload(AddressSlot slot) internal view returns (address value) {
                      assembly ("memory-safe") {
                          value := tload(slot)
                      }
                  }
                  /**
                   * @dev Store `value` at location `slot` in transient storage.
                   */
                  function tstore(AddressSlot slot, address value) internal {
                      assembly ("memory-safe") {
                          tstore(slot, value)
                      }
                  }
                  /**
                   * @dev Load the value held at location `slot` in transient storage.
                   */
                  function tload(BooleanSlot slot) internal view returns (bool value) {
                      assembly ("memory-safe") {
                          value := tload(slot)
                      }
                  }
                  /**
                   * @dev Store `value` at location `slot` in transient storage.
                   */
                  function tstore(BooleanSlot slot, bool value) internal {
                      assembly ("memory-safe") {
                          tstore(slot, value)
                      }
                  }
                  /**
                   * @dev Load the value held at location `slot` in transient storage.
                   */
                  function tload(Bytes32Slot slot) internal view returns (bytes32 value) {
                      assembly ("memory-safe") {
                          value := tload(slot)
                      }
                  }
                  /**
                   * @dev Store `value` at location `slot` in transient storage.
                   */
                  function tstore(Bytes32Slot slot, bytes32 value) internal {
                      assembly ("memory-safe") {
                          tstore(slot, value)
                      }
                  }
                  /**
                   * @dev Load the value held at location `slot` in transient storage.
                   */
                  function tload(Uint256Slot slot) internal view returns (uint256 value) {
                      assembly ("memory-safe") {
                          value := tload(slot)
                      }
                  }
                  /**
                   * @dev Store `value` at location `slot` in transient storage.
                   */
                  function tstore(Uint256Slot slot, uint256 value) internal {
                      assembly ("memory-safe") {
                          tstore(slot, value)
                      }
                  }
                  /**
                   * @dev Load the value held at location `slot` in transient storage.
                   */
                  function tload(Int256Slot slot) internal view returns (int256 value) {
                      assembly ("memory-safe") {
                          value := tload(slot)
                      }
                  }
                  /**
                   * @dev Store `value` at location `slot` in transient storage.
                   */
                  function tstore(Int256Slot slot, int256 value) internal {
                      assembly ("memory-safe") {
                          tstore(slot, value)
                      }
                  }
              }
              pragma solidity ^0.8.28;
              // SPDX-License-Identifier: MIT
              // solhint-disable no-inline-assembly
              import "../interfaces/PackedUserOperation.sol";
              import "../core/UserOperationLib.sol";
              library Eip7702Support {
                  // EIP-7702 code prefix before delegate address.
                  bytes3 internal constant EIP7702_PREFIX = 0xef0100;
                  // EIP-7702 initCode marker, to specify this account is EIP-7702.
                  bytes2 internal constant INITCODE_EIP7702_MARKER = 0x7702;
                  using UserOperationLib for PackedUserOperation;
                  /**
                   * Get the alternative 'InitCodeHash' value for the UserOp hash calculation when using EIP-7702.
                   *
                   * @param userOp - the UserOperation to for the 'InitCodeHash' calculation.
                   * @return the 'InitCodeHash' value.
                   */
                  function _getEip7702InitCodeHashOverride(PackedUserOperation calldata userOp) internal view returns (bytes32) {
                      bytes calldata initCode = userOp.initCode;
                      if (!_isEip7702InitCode(initCode)) {
                          return 0;
                      }
                      address delegate = _getEip7702Delegate(userOp.sender);
                      if (initCode.length <= 20)
                          return keccak256(abi.encodePacked(delegate));
                      else
                          return keccak256(abi.encodePacked(delegate, initCode[20 :]));
                  }
                  /**
                   * Check if this 'initCode' is actually an EIP-7702 authorization.
                   * This is indicated by 'initCode' that starts with INITCODE_EIP7702_MARKER.
                   *
                   * @param initCode - the 'initCode' to check.
                   * @return true if the 'initCode' is EIP-7702 authorization, false otherwise.
                   */
                  function _isEip7702InitCode(bytes calldata initCode) internal pure returns (bool) {
                      if (initCode.length < 2) {
                          return false;
                      }
                      bytes20 initCodeStart;
                      // non-empty calldata bytes are always zero-padded to 32-bytes, so can be safely casted to "bytes20"
                      assembly ("memory-safe") {
                          initCodeStart := calldataload(initCode.offset)
                      }
                      // make sure first 20 bytes of initCode are "0x7702" (padded with zeros)
                      return initCodeStart == bytes20(INITCODE_EIP7702_MARKER);
                  }
                  /**
                   * Get the EIP-7702 delegate from contract code.
                   * Must only be used if _isEip7702InitCode(initCode) is true.
                   *
                   * @param sender - the EIP-7702 'sender' account to get the delegated contract code address.
                   * @return the address of the EIP-7702 authorized contract.
                   */
                  function _getEip7702Delegate(address sender) internal view returns (address) {
                      bytes32 senderCode;
                      assembly ("memory-safe") {
                          extcodecopy(sender, 0, 0, 23)
                          senderCode := mload(0)
                      }
                      // To be a valid EIP-7702 delegate, the first 3 bytes are EIP7702_PREFIX
                      // followed by the delegate address
                      if (bytes3(senderCode) != EIP7702_PREFIX) {
                          // instead of just "not an EIP-7702 delegate", if some info.
                          require(sender.code.length > 0, "sender has no code");
                          revert("not an EIP-7702 delegate");
                      }
                      return address(bytes20(senderCode << 24));
                  }
              }
              // SPDX-License-Identifier: GPL-3.0
              pragma solidity ^0.8.28;
              /* solhint-disable avoid-low-level-calls */
              /* solhint-disable no-inline-assembly */
              import "../interfaces/IAccount.sol";
              import "../interfaces/IAccountExecute.sol";
              import "../interfaces/IEntryPoint.sol";
              import "../interfaces/IPaymaster.sol";
              import "./UserOperationLib.sol";
              import "./StakeManager.sol";
              import "./NonceManager.sol";
              import "./Helpers.sol";
              import "./SenderCreator.sol";
              import "./Eip7702Support.sol";
              import "../utils/Exec.sol";
              import "@openzeppelin/contracts/utils/ReentrancyGuardTransient.sol";
              import "@openzeppelin/contracts/utils/introspection/ERC165.sol";
              import "@openzeppelin/contracts/utils/cryptography/EIP712.sol";
              /**
               * Account-Abstraction (EIP-4337) singleton EntryPoint v0.8 implementation.
               * Only one instance required on each chain.
               * @custom:security-contact https://bounty.ethereum.org
               */
              contract EntryPoint is IEntryPoint, StakeManager, NonceManager, ReentrancyGuardTransient, ERC165, EIP712 {
                  using UserOperationLib for PackedUserOperation;
                  /**
                   * internal-use constants
                   */
                  // allow some slack for future gas price changes.
                  uint256 private constant INNER_GAS_OVERHEAD = 10000;
                  // Marker for inner call revert on out of gas
                  bytes32 private constant INNER_OUT_OF_GAS = hex"deaddead";
                  bytes32 private constant INNER_REVERT_LOW_PREFUND = hex"deadaa51";
                  uint256 private constant REVERT_REASON_MAX_LEN = 2048;
                  // Penalty charged for either unused execution gas or postOp gas
                  uint256 private constant UNUSED_GAS_PENALTY_PERCENT = 10;
                  // Threshold below which no penalty would be charged
                  uint256 private constant PENALTY_GAS_THRESHOLD = 40000;
                  SenderCreator private immutable _senderCreator = new SenderCreator();
                  string constant internal DOMAIN_NAME = "ERC4337";
                  string constant internal DOMAIN_VERSION = "1";
                  constructor() EIP712(DOMAIN_NAME, DOMAIN_VERSION)  {
                  }
                  /// @inheritdoc IEntryPoint
                  function handleOps(
                      PackedUserOperation[] calldata ops,
                      address payable beneficiary
                  ) external nonReentrant {
                      uint256 opslen = ops.length;
                      UserOpInfo[] memory opInfos = new UserOpInfo[](opslen);
                      unchecked {
                          _iterateValidationPhase(ops, opInfos, address(0), 0);
                          uint256 collected = 0;
                          emit BeforeExecution();
                          for (uint256 i = 0; i < opslen; i++) {
                              collected += _executeUserOp(i, ops[i], opInfos[i]);
                          }
                          _compensate(beneficiary, collected);
                      }
                  }
                  /// @inheritdoc IEntryPoint
                  function handleAggregatedOps(
                      UserOpsPerAggregator[] calldata opsPerAggregator,
                      address payable beneficiary
                  ) external nonReentrant {
                      unchecked {
                          uint256 opasLen = opsPerAggregator.length;
                          uint256 totalOps = 0;
                          for (uint256 i = 0; i < opasLen; i++) {
                              UserOpsPerAggregator calldata opa = opsPerAggregator[i];
                              PackedUserOperation[] calldata ops = opa.userOps;
                              IAggregator aggregator = opa.aggregator;
                              // address(1) is special marker of "signature error"
                              require(
                                  address(aggregator) != address(1),
                                  SignatureValidationFailed(address(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);
                          uint256 opIndex = 0;
                          for (uint256 a = 0; a < opasLen; a++) {
                              UserOpsPerAggregator calldata opa = opsPerAggregator[a];
                              PackedUserOperation[] calldata ops = opa.userOps;
                              IAggregator aggregator = opa.aggregator;
                              opIndex += _iterateValidationPhase(ops, opInfos, address(aggregator), opIndex);
                          }
                          emit BeforeExecution();
                          uint256 collected = 0;
                          opIndex = 0;
                          for (uint256 a = 0; a < opasLen; a++) {
                              UserOpsPerAggregator calldata opa = opsPerAggregator[a];
                              emit SignatureAggregatorChanged(address(opa.aggregator));
                              PackedUserOperation[] calldata ops = opa.userOps;
                              uint256 opslen = ops.length;
                              for (uint256 i = 0; i < opslen; i++) {
                                  collected += _executeUserOp(opIndex, ops[i], opInfos[opIndex]);
                                  opIndex++;
                              }
                          }
                          _compensate(beneficiary, collected);
                      }
                  }
                  /// @inheritdoc IEntryPoint
                  function getUserOpHash(
                      PackedUserOperation calldata userOp
                  ) public view returns (bytes32) {
                      bytes32 overrideInitCodeHash = Eip7702Support._getEip7702InitCodeHashOverride(userOp);
                      return
                          MessageHashUtils.toTypedDataHash(getDomainSeparatorV4(), userOp.hash(overrideInitCodeHash));
                  }
                  /// @inheritdoc IEntryPoint
                  function getSenderAddress(bytes calldata initCode) external {
                      address sender = senderCreator().createSender(initCode);
                      revert SenderAddressResult(sender);
                  }
                  /// @inheritdoc IEntryPoint
                  function senderCreator() public view virtual returns (ISenderCreator) {
                      return _senderCreator;
                  }
                  /// @inheritdoc IEntryPoint
                  function delegateAndRevert(address target, bytes calldata data) external {
                      (bool success, bytes memory ret) = target.delegatecall(data);
                      revert DelegateAndRevert(success, ret);
                  }
                  function getPackedUserOpTypeHash() external pure returns (bytes32) {
                      return UserOperationLib.PACKED_USEROP_TYPEHASH;
                  }
                  function getDomainSeparatorV4() public virtual view returns (bytes32) {
                      return _domainSeparatorV4();
                  }
                  /// @inheritdoc IERC165
                  function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
                      // note: solidity "type(IEntryPoint).interfaceId" is without inherited methods but we want to check everything
                      return interfaceId == (type(IEntryPoint).interfaceId ^ type(IStakeManager).interfaceId ^ type(INonceManager).interfaceId) ||
                      interfaceId == type(IEntryPoint).interfaceId ||
                      interfaceId == type(IStakeManager).interfaceId ||
                      interfaceId == type(INonceManager).interfaceId ||
                          super.supportsInterface(interfaceId);
                  }
                  /**
                   * 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 virtual {
                      require(beneficiary != address(0), "AA90 invalid beneficiary");
                      (bool success,) = beneficiary.call{value: amount}("");
                      require(success, "AA91 failed send to beneficiary");
                  }
                  /**
                   * Execute a user operation.
                   * @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,
                      PackedUserOperation calldata userOp,
                      UserOpInfo memory opInfo
                  )
                  internal virtual
                  returns (uint256 collected) {
                      uint256 preGas = gasleft();
                      bytes memory context = _getMemoryBytesFromOffset(opInfo.contextOffset);
                      bool success;
                      {
                          uint256 saveFreePtr = _getFreePtr();
                          bytes calldata callData = userOp.callData;
                          bytes memory innerCall;
                          bytes4 methodSig;
                          assembly ("memory-safe") {
                              let len := callData.length
                              if gt(len, 3) {
                                  methodSig := calldataload(callData.offset)
                              }
                          }
                          if (methodSig == IAccountExecute.executeUserOp.selector) {
                              bytes memory executeUserOp = abi.encodeCall(IAccountExecute.executeUserOp, (userOp, opInfo.userOpHash));
                              innerCall = abi.encodeCall(this.innerHandleOp, (executeUserOp, opInfo, context));
                          } else
                          {
                              innerCall = abi.encodeCall(this.innerHandleOp, (callData, opInfo, context));
                          }
                          assembly ("memory-safe") {
                              success := call(gas(), address(), 0, add(innerCall, 0x20), mload(innerCall), 0, 32)
                              collected := mload(0)
                          }
                          _restoreFreePtr(saveFreePtr);
                      }
                      if (!success) {
                          bytes32 innerRevertCode;
                          assembly ("memory-safe") {
                              let len := returndatasize()
                              if eq(32, len) {
                                  returndatacopy(0, 0, 32)
                                  innerRevertCode := mload(0)
                              }
                          }
                          if (innerRevertCode == INNER_OUT_OF_GAS) {
                              // handleOps was called with gas limit too low. abort entire bundle.
                              // can only be caused by bundler (leaving not enough gas for inner call)
                              revert FailedOp(opIndex, "AA95 out of gas");
                          } else if (innerRevertCode == INNER_REVERT_LOW_PREFUND) {
                              // innerCall reverted on prefund too low. treat entire prefund as "gas cost"
                              uint256 actualGas = preGas - gasleft() + opInfo.preOpGas;
                              uint256 actualGasCost = opInfo.prefund;
                              _emitPrefundTooLow(opInfo);
                              _emitUserOperationEvent(opInfo, false, actualGasCost, actualGas);
                              collected = actualGasCost;
                          } else {
                              uint256 freePtr = _getFreePtr();
                              emit PostOpRevertReason(
                                  opInfo.userOpHash,
                                  opInfo.mUserOp.sender,
                                  opInfo.mUserOp.nonce,
                                  Exec.getReturnData(REVERT_REASON_MAX_LEN)
                              );
                              _restoreFreePtr(freePtr);
                              uint256 actualGas = preGas - gasleft() + opInfo.preOpGas;
                              collected = _postExecution(
                                  IPaymaster.PostOpMode.postOpReverted,
                                  opInfo,
                                  context,
                                  actualGas
                              );
                          }
                      }
                  }
                  /**
                   * Emit the UserOperationEvent for the given UserOperation.
                   *
                   * @param opInfo         - The details of the current UserOperation.
                   * @param success        - Whether the execution of the UserOperation has succeeded or not.
                   * @param actualGasCost  - The actual cost of the consumed gas charged from the sender or the paymaster.
                   * @param actualGas      - The actual amount of gas used.
                   */
                  function _emitUserOperationEvent(UserOpInfo memory opInfo, bool success, uint256 actualGasCost, uint256 actualGas) internal virtual {
                      emit UserOperationEvent(
                          opInfo.userOpHash,
                          opInfo.mUserOp.sender,
                          opInfo.mUserOp.paymaster,
                          opInfo.mUserOp.nonce,
                          success,
                          actualGasCost,
                          actualGas
                      );
                  }
                  /**
                   * Emit the UserOperationPrefundTooLow event for the given UserOperation.
                   *
                   * @param opInfo - The details of the current UserOperation.
                   */
                  function _emitPrefundTooLow(UserOpInfo memory opInfo) internal virtual {
                      emit UserOperationPrefundTooLow(
                          opInfo.userOpHash,
                          opInfo.mUserOp.sender,
                          opInfo.mUserOp.nonce
                      );
                  }
                  /**
                   * Iterate over calldata PackedUserOperation array and perform account and paymaster validation.
                   * @notice UserOpInfo is a global array of all UserOps while PackedUserOperation is grouped per aggregator.
                   *
                   * @param ops - an array of UserOps to be validated
                   * @param opInfos - an array of UserOp metadata being read and filled in during this function's execution
                   * @param expectedAggregator - an address of the aggregator specified for a given UserOp if any, or address(0)
                   * @param opIndexOffset - an offset for the index between 'ops' and 'opInfos' arrays, see the notice.
                   * @return opsLen - processed UserOps (length of "ops" array)
                   */
                  function _iterateValidationPhase(
                      PackedUserOperation[] calldata ops,
                      UserOpInfo[] memory opInfos,
                      address expectedAggregator,
                      uint256 opIndexOffset
                  ) internal returns (uint256 opsLen){
                      unchecked {
                          opsLen = ops.length;
                          for (uint256 i = 0; i < opsLen; i++) {
                              UserOpInfo memory opInfo = opInfos[opIndexOffset + i];
                              (
                                  uint256 validationData,
                                  uint256 pmValidationData
                              ) = _validatePrepayment(opIndexOffset + i, ops[i], opInfo);
                              _validateAccountAndPaymasterValidationData(
                                  opIndexOffset + i,
                                  validationData,
                                  pmValidationData,
                                  expectedAggregator
                              );
                          }
                      }
                  }
                  /**
                   * A memory copy of UserOp static fields only.
                   * Excluding: callData, initCode and signature. Replacing paymasterAndData with paymaster.
                   */
                  struct MemoryUserOp {
                      address sender;
                      uint256 nonce;
                      uint256 verificationGasLimit;
                      uint256 callGasLimit;
                      uint256 paymasterVerificationGasLimit;
                      uint256 paymasterPostOpGasLimit;
                      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.
                   * @param callData - The callData to execute.
                   * @param opInfo   - The UserOpInfo struct.
                   * @param context  - The context bytes.
                   * @return actualGasCost - the actual cost in eth this UserOperation paid for gas
                   */
                  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;
                      uint256 callGasLimit = mUserOp.callGasLimit;
                      unchecked {
                      // handleOps was called with gas limit too low. abort entire bundle.
                          if (
                              gasleft() * 63 / 64 <
                              callGasLimit +
                              mUserOp.paymasterPostOpGasLimit +
                              INNER_GAS_OVERHEAD
                          ) {
                              assembly ("memory-safe") {
                                  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) {
                              uint256 freePtr = _getFreePtr();
                              bytes memory result = Exec.getReturnData(REVERT_REASON_MAX_LEN);
                              if (result.length > 0) {
                                  emit UserOperationRevertReason(
                                      opInfo.userOpHash,
                                      mUserOp.sender,
                                      mUserOp.nonce,
                                      result
                                  );
                              }
                              _restoreFreePtr(freePtr);
                              mode = IPaymaster.PostOpMode.opReverted;
                          }
                      }
                      unchecked {
                          uint256 actualGas = preGas - gasleft() + opInfo.preOpGas;
                          return _postExecution(mode, opInfo, context, actualGas);
                      }
                  }
                  /**
                   * Copy general fields from userOp into the memory opInfo structure.
                   * @param userOp  - The user operation.
                   * @param mUserOp - The memory user operation.
                   */
                  function _copyUserOpToMemory(
                      PackedUserOperation calldata userOp,
                      MemoryUserOp memory mUserOp
                  ) internal virtual pure {
                      mUserOp.sender = userOp.sender;
                      mUserOp.nonce = userOp.nonce;
                      (mUserOp.verificationGasLimit, mUserOp.callGasLimit) = UserOperationLib.unpackUints(userOp.accountGasLimits);
                      mUserOp.preVerificationGas = userOp.preVerificationGas;
                      (mUserOp.maxPriorityFeePerGas, mUserOp.maxFeePerGas) = UserOperationLib.unpackUints(userOp.gasFees);
                      bytes calldata paymasterAndData = userOp.paymasterAndData;
                      if (paymasterAndData.length > 0) {
                          require(
                              paymasterAndData.length >= UserOperationLib.PAYMASTER_DATA_OFFSET,
                              "AA93 invalid paymasterAndData"
                          );
                          address paymaster;
                          (paymaster, mUserOp.paymasterVerificationGasLimit, mUserOp.paymasterPostOpGasLimit) = UserOperationLib.unpackPaymasterStaticFields(paymasterAndData);
                          require(paymaster != address(0), "AA98 invalid paymaster");
                          mUserOp.paymaster = paymaster;
                      }
                  }
                  /**
                   * Get the required prefunded gas fee amount for an operation.
                   *
                   * @param mUserOp - The user operation in memory.
                   * @return requiredPrefund - the required amount.
                   */
                  function _getRequiredPrefund(
                      MemoryUserOp memory mUserOp
                  ) internal virtual pure returns (uint256 requiredPrefund) {
                      unchecked {
                          uint256 requiredGas = mUserOp.verificationGasLimit +
                                          mUserOp.callGasLimit +
                                          mUserOp.paymasterVerificationGasLimit +
                                          mUserOp.paymasterPostOpGasLimit +
                                          mUserOp.preVerificationGas;
                          requiredPrefund = requiredGas * mUserOp.maxFeePerGas;
                      }
                  }
                  /**
                   * Create sender smart contract account if init code is provided.
                   * @param opIndex  - The operation index.
                   * @param opInfo   - The operation info.
                   * @param initCode - The init code for the smart contract account.
                   */
                  function _createSenderIfNeeded(
                      uint256 opIndex,
                      UserOpInfo memory opInfo,
                      bytes calldata initCode
                  ) internal virtual {
                      if (initCode.length != 0) {
                          address sender = opInfo.mUserOp.sender;
                          if (Eip7702Support._isEip7702InitCode(initCode)) {
                              if (initCode.length > 20) {
                                  // Already validated it is an EIP-7702 delegate (and hence, already has code) - see getUserOpHash()
                                  // Note: Can be called multiple times as long as an appropriate initCode is supplied
                                  senderCreator().initEip7702Sender{
                                          gas: opInfo.mUserOp.verificationGasLimit
                                      }(sender, initCode[20 :]);
                              }
                              return;
                          }
                          if (sender.code.length != 0)
                              revert FailedOp(opIndex, "AA10 sender already constructed");
                          if (initCode.length < 20) {
                              revert FailedOp(opIndex, "AA99 initCode too small");
                          }
                          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
                          );
                      }
                  }
                  /**
                   * Call account.validateUserOp.
                   * Revert (with FailedOp) in case validateUserOp reverts, or account didn't send required prefund.
                   * Decrement account's deposit if needed.
                   * @param opIndex         - The operation index.
                   * @param op              - The user operation.
                   * @param opInfo          - The operation info.
                   * @param requiredPrefund - The required prefund amount.
                   * @return validationData - The account's validationData.
                   */
                  function _validateAccountPrepayment(
                      uint256 opIndex,
                      PackedUserOperation calldata op,
                      UserOpInfo memory opInfo,
                      uint256 requiredPrefund
                  )
                  internal virtual
                  returns (
                      uint256 validationData
                  )
                  {
                      unchecked {
                          MemoryUserOp memory mUserOp = opInfo.mUserOp;
                          address sender = mUserOp.sender;
                          _createSenderIfNeeded(opIndex, opInfo, op.initCode);
                          address paymaster = mUserOp.paymaster;
                          uint256 missingAccountFunds = 0;
                          if (paymaster == address(0)) {
                              uint256 bal = balanceOf(sender);
                              missingAccountFunds = bal > requiredPrefund
                                  ? 0
                                  : requiredPrefund - bal;
                          }
                          validationData = _callValidateUserOp(opIndex, op, opInfo, missingAccountFunds);
                          if (paymaster == address(0)) {
                              if (!_tryDecrementDeposit(sender, requiredPrefund)) {
                                  revert FailedOp(opIndex, "AA21 didn't pay prefund");
                              }
                          }
                      }
                  }
                  /**
                   * Make a call to the sender.validateUserOp() function.
                   * Handle wrong output size by reverting with a FailedOp error.
                   *
                   * @param opIndex - index of the UserOperation in the bundle.
                   * @param op - the packed UserOperation object.
                   * @param opInfo - the in-memory UserOperation information.
                   * @param missingAccountFunds - the amount of deposit the account has to make to cover the UserOperation gas.
                   */
                  function _callValidateUserOp(
                      uint256 opIndex,
                      PackedUserOperation calldata op,
                      UserOpInfo memory opInfo,
                      uint256 missingAccountFunds
                  )
                  internal virtual returns (uint256 validationData) {
                      uint256 gasLimit = opInfo.mUserOp.verificationGasLimit;
                      address sender = opInfo.mUserOp.sender;
                      bool success;
                      {
                          uint256 saveFreePtr = _getFreePtr();
                          bytes memory callData = abi.encodeCall(IAccount.validateUserOp, (op, opInfo.userOpHash, missingAccountFunds));
                          assembly ("memory-safe"){
                              success := call(gasLimit, sender, 0, add(callData, 0x20), mload(callData), 0, 32)
                              validationData := mload(0)
                          // any return data size other than 32 is considered failure
                              if iszero(eq(returndatasize(), 32)) {
                                  success := 0
                              }
                          }
                          _restoreFreePtr(saveFreePtr);
                      }
                      if (!success) {
                          if (sender.code.length == 0) {
                              revert FailedOp(opIndex, "AA20 account not deployed");
                          } else {
                              revert FailedOpWithRevert(opIndex, "AA23 reverted", Exec.getReturnData(REVERT_REASON_MAX_LEN));
                          }
                      }
                  }
                  /**
                   * 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.
                   * @param opIndex                            - The operation index.
                   * @param op                                 - The user operation.
                   * @param opInfo                             - The operation info.
                   * @return context                           - The Paymaster-provided value to be passed to the 'postOp' function later
                   * @return validationData                    - The Paymaster's validationData.
                   */
                  function _validatePaymasterPrepayment(
                      uint256 opIndex,
                      PackedUserOperation calldata op,
                      UserOpInfo memory opInfo
                  ) internal virtual returns (bytes memory context, uint256 validationData) {
                      unchecked {
                          uint256 preGas = gasleft();
                          MemoryUserOp memory mUserOp = opInfo.mUserOp;
                          address paymaster = mUserOp.paymaster;
                          uint256 requiredPreFund = opInfo.prefund;
                          if (!_tryDecrementDeposit(paymaster, requiredPreFund)) {
                              revert FailedOp(opIndex, "AA31 paymaster deposit too low");
                          }
                          uint256 pmVerificationGasLimit = mUserOp.paymasterVerificationGasLimit;
                          (context, validationData) = _callValidatePaymasterUserOp(opIndex, op, opInfo);
                          if (preGas - gasleft() > pmVerificationGasLimit) {
                              revert FailedOp(opIndex, "AA36 over paymasterVerificationGasLimit");
                          }
                      }
                  }
                  function _callValidatePaymasterUserOp(
                      uint256 opIndex,
                      PackedUserOperation calldata op,
                      UserOpInfo memory opInfo
                  ) internal returns (bytes memory context, uint256 validationData)  {
                      uint256 freePtr = _getFreePtr();
                      bytes memory validatePaymasterCall = abi.encodeCall(
                          IPaymaster.validatePaymasterUserOp,
                          (op, opInfo.userOpHash, opInfo.prefund)
                      );
                      address paymaster = opInfo.mUserOp.paymaster;
                      uint256 paymasterVerificationGasLimit = opInfo.mUserOp.paymasterVerificationGasLimit;
                      bool success;
                      uint256 contextLength;
                      uint256 contextOffset;
                      uint256 maxContextLength;
                      uint256 len;
                      assembly ("memory-safe") {
                          success := call(paymasterVerificationGasLimit, paymaster, 0, add(validatePaymasterCall, 0x20), mload(validatePaymasterCall), 0, 0)
                          len := returndatasize()
                          // return data from validatePaymasterUserOp is (bytes context, validationData)
                          // encoded as:
                          // 32 bytes offset of context (always 64)
                          // 32 bytes of validationData
                          // 32 bytes of context length
                          // context data (rounded up, to 32 bytes boundary)
                          // so entire buffer size is (at least) 96+content.length.
                          //
                          // we use freePtr, fetched before calling encodeCall, as return data pointer.
                          // this way we reuse that memory without unnecessary memory expansion
                          returndatacopy(freePtr, 0, len)
                          validationData := mload(add(freePtr, 32))
                          contextOffset := mload(freePtr)
                          maxContextLength := sub(len, 96)
                          context := add(freePtr, 64)
                          contextLength := mload(context)
                      }
                      unchecked {
                          if (!success || contextOffset != 64 || contextLength + 31 < maxContextLength) {
                              revert FailedOpWithRevert(opIndex, "AA33 reverted", Exec.getReturnData(REVERT_REASON_MAX_LEN));
                          }
                      }
                      finalizeAllocation(freePtr, len);
                  }
                  /**
                   * Revert if either account validationData or paymaster validationData is expired.
                   * @param opIndex                 - The operation index.
                   * @param validationData          - The account validationData.
                   * @param paymasterValidationData - The paymaster validationData.
                   * @param expectedAggregator      - The expected aggregator.
                   */
                  function _validateAccountAndPaymasterValidationData(
                      uint256 opIndex,
                      uint256 validationData,
                      uint256 paymasterValidationData,
                      address expectedAggregator
                  ) internal virtual 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");
                      }
                  }
                  /**
                   * Parse validationData into its components.
                   * @param validationData - The packed validation data (sigFailed, validAfter, validUntil).
                   * @return aggregator the aggregator of the validationData
                   * @return outOfTimeRange true if current time is outside the time range of this validationData.
                   */
                  function _getValidationData(
                      uint256 validationData
                  ) internal virtual 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) and
                   * 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 packed calldata UserOperation structure to validate.
                   * @param outOpInfo  - The empty unpacked in-memory UserOperation structure that will be filled in here.
                   *
                   * @return validationData          - The account's validationData.
                   * @return paymasterValidationData - The paymaster's validationData.
                   */
                  function _validatePrepayment(
                      uint256 opIndex,
                      PackedUserOperation calldata userOp,
                      UserOpInfo memory outOpInfo
                  )
                  internal virtual
                  returns (uint256 validationData, uint256 paymasterValidationData)
                  {
                      uint256 preGas = gasleft();
                      MemoryUserOp memory mUserOp = outOpInfo.mUserOp;
                      _copyUserOpToMemory(userOp, mUserOp);
                      // getUserOpHash uses temporary allocations, no required after it returns
                      uint256 freePtr = _getFreePtr();
                      outOpInfo.userOpHash = getUserOpHash(userOp);
                      _restoreFreePtr(freePtr);
                      // Validate all numeric values in userOp are well below 128 bit, so they can safely be added
                      // and multiplied without causing overflow.
                      uint256 verificationGasLimit = mUserOp.verificationGasLimit;
                      uint256 maxGasValues = mUserOp.preVerificationGas |
                                  verificationGasLimit |
                                      mUserOp.callGasLimit |
                                      mUserOp.paymasterVerificationGasLimit |
                                      mUserOp.paymasterPostOpGasLimit |
                                      mUserOp.maxFeePerGas |
                                      mUserOp.maxPriorityFeePerGas;
                      require(maxGasValues <= type(uint120).max, FailedOp(opIndex, "AA94 gas values overflow"));
                      uint256 requiredPreFund = _getRequiredPrefund(mUserOp);
                      outOpInfo.prefund = requiredPreFund;
                      validationData = _validateAccountPrepayment(
                          opIndex,
                          userOp,
                          outOpInfo,
                          requiredPreFund
                      );
                      require(
                          _validateAndUpdateNonce(mUserOp.sender, mUserOp.nonce),
                          FailedOp(opIndex, "AA25 invalid account nonce")
                      );
                      unchecked {
                          if (preGas - gasleft() > verificationGasLimit) {
                              revert FailedOp(opIndex, "AA26 over verificationGasLimit");
                          }
                      }
                      bytes memory context;
                      if (mUserOp.paymaster != address(0)) {
                          (context, paymasterValidationData) = _validatePaymasterPrepayment(
                              opIndex,
                              userOp,
                              outOpInfo
                          );
                      }
                      unchecked {
                          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 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.
                   *
                   * @return actualGasCost - the actual cost in eth this UserOperation paid for gas
                   */
                  function _postExecution(
                      IPaymaster.PostOpMode mode,
                      UserOpInfo memory opInfo,
                      bytes memory context,
                      uint256 actualGas
                  ) internal virtual returns (uint256 actualGasCost) {
                      uint256 preGas = gasleft();
                      unchecked {
                          address refundAddress;
                          MemoryUserOp memory mUserOp = opInfo.mUserOp;
                          uint256 gasPrice = _getUserOpGasPrice(mUserOp);
                          address paymaster = mUserOp.paymaster;
                      // Calculating a penalty for unused execution gas
                          {
                              uint256 executionGasUsed = actualGas - opInfo.preOpGas;
                              // this check is required for the gas used within EntryPoint and not covered by explicit gas limits
                              actualGas += _getUnusedGasPenalty(executionGasUsed, mUserOp.callGasLimit);
                          }
                          uint256 postOpUnusedGasPenalty;
                          if (paymaster == address(0)) {
                              refundAddress = mUserOp.sender;
                          } else {
                              refundAddress = paymaster;
                              if (context.length > 0) {
                                  actualGasCost = actualGas * gasPrice;
                                  uint256 postOpPreGas = gasleft();
                                  if (mode != IPaymaster.PostOpMode.postOpReverted) {
                                      try IPaymaster(paymaster).postOp{
                                              gas: mUserOp.paymasterPostOpGasLimit
                                          }(mode, context, actualGasCost, gasPrice)
                                      // solhint-disable-next-line no-empty-blocks
                                      {} catch {
                                          bytes memory reason = Exec.getReturnData(REVERT_REASON_MAX_LEN);
                                          revert PostOpReverted(reason);
                                      }
                                  }
                                  // Calculating a penalty for unused postOp gas
                                  // note that if postOp is reverted, the maximum penalty (10% of postOpGasLimit) is charged.
                                  uint256 postOpGasUsed = postOpPreGas - gasleft();
                                  postOpUnusedGasPenalty = _getUnusedGasPenalty(postOpGasUsed, mUserOp.paymasterPostOpGasLimit);
                              }
                          }
                          actualGas += preGas - gasleft() + postOpUnusedGasPenalty;
                          actualGasCost = actualGas * gasPrice;
                          uint256 prefund = opInfo.prefund;
                          if (prefund < actualGasCost) {
                              if (mode == IPaymaster.PostOpMode.postOpReverted) {
                                  actualGasCost = prefund;
                                  _emitPrefundTooLow(opInfo);
                                  _emitUserOperationEvent(opInfo, false, actualGasCost, actualGas);
                              } else {
                                  assembly ("memory-safe") {
                                      mstore(0, INNER_REVERT_LOW_PREFUND)
                                      revert(0, 32)
                                  }
                              }
                          } else {
                              uint256 refund = prefund - actualGasCost;
                              _incrementDeposit(refundAddress, refund);
                              bool success = mode == IPaymaster.PostOpMode.opSucceeded;
                              _emitUserOperationEvent(opInfo, 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 be affected.
                   * @param mUserOp - The userOp to get the gas price from.
                   */
                  function _getUserOpGasPrice(
                      MemoryUserOp memory mUserOp
                  ) internal view returns (uint256) {
                      unchecked {
                          uint256 maxFeePerGas = mUserOp.maxFeePerGas;
                          uint256 maxPriorityFeePerGas = mUserOp.maxPriorityFeePerGas;
                          return min(maxFeePerGas, maxPriorityFeePerGas + block.basefee);
                      }
                  }
                  /**
                   * The offset of the given bytes in memory.
                   * @param data - The bytes to get the offset of.
                   */
                  function _getOffsetOfMemoryBytes(
                      bytes memory data
                  ) internal pure returns (uint256 offset) {
                      assembly ("memory-safe") {
                          offset := data
                      }
                  }
                  /**
                   * The bytes in memory at the given offset.
                   * @param offset - The offset to get the bytes from.
                   */
                  function _getMemoryBytesFromOffset(
                      uint256 offset
                  ) internal pure returns (bytes memory data) {
                      assembly ("memory-safe") {
                          data := offset
                      }
                  }
                  /**
                   * save free memory pointer.
                   * save "free memory" pointer, so that it can be restored later using restoreFreePtr.
                   * This reduce unneeded memory expansion, and reduce memory expansion cost.
                   * NOTE: all dynamic allocations between saveFreePtr and restoreFreePtr MUST NOT be used after restoreFreePtr is called.
                   */
                  function _getFreePtr() internal pure returns (uint256 ptr) {
                      assembly ("memory-safe") {
                          ptr := mload(0x40)
                      }
                  }
                  /**
                   * restore free memory pointer.
                   * any allocated memory since saveFreePtr is cleared, and MUST NOT be accessed later.
                   */
                  function _restoreFreePtr(uint256 ptr) internal pure {
                      assembly ("memory-safe") {
                          mstore(0x40, ptr)
                      }
                  }
                  function _getUnusedGasPenalty(uint256 gasUsed, uint256 gasLimit) internal pure returns (uint256) {
                      unchecked {
                          if (gasLimit <= gasUsed + PENALTY_GAS_THRESHOLD) {
                              return 0;
                          }
                          uint256 unusedGas = gasLimit - gasUsed;
                          uint256 unusedGasPenalty = (unusedGas * UNUSED_GAS_PENALTY_PERCENT) / 100;
                          return unusedGasPenalty;
                      }
                  }
              }
              // SPDX-License-Identifier: MIT
              pragma solidity ^0.8.28;
              /* solhint-disable no-inline-assembly */
               /*
                * For simulation purposes, validateUserOp (and validatePaymasterUserOp)
                * must return this value in case of signature failure, instead of revert.
                */
              uint256 constant SIG_VALIDATION_FAILED = 1;
              /*
               * For simulation purposes, validateUserOp (and validatePaymasterUserOp)
               * return this value on success.
               */
              uint256 constant SIG_VALIDATION_SUCCESS = 0;
              /**
               * Returned data from validateUserOp.
               * validateUserOp returns a uint256, which 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 validUntil - Last timestamp this operation is valid at, or 0 for "indefinitely".
               */
              struct ValidationData {
                  address aggregator;
                  uint48 validAfter;
                  uint48 validUntil;
              }
              /**
               * Extract aggregator/sigFailed, validAfter, validUntil.
               * Also convert zero validUntil to type(uint48).max.
               * @param validationData - The packed validation data.
               * @return data - The unpacked in-memory validation data.
               */
              function _parseValidationData(
                  uint256 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);
              }
              /**
               * Helper to pack the return value for validateUserOp.
               * @param data - The ValidationData to pack.
               * @return the packed validation data.
               */
              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 operation is valid at, or 0 for "indefinitely".
               * @param validAfter - First timestamp this UserOperation is valid.
               * @return the packed validation data.
               */
              function _packValidationData(
                  bool sigFailed,
                  uint48 validUntil,
                  uint48 validAfter
              ) pure returns (uint256) {
                  return
                      (sigFailed ?  SIG_VALIDATION_FAILED : SIG_VALIDATION_SUCCESS) |
                      (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.
               *
               * @param data - the calldata bytes array to perform keccak on.
               * @return ret - the keccak hash of the 'data' array.
               */
                  function calldataKeccak(bytes calldata data) pure returns (bytes32 ret) {
                      assembly ("memory-safe") {
                          let mem := mload(0x40)
                          let len := data.length
                          calldatacopy(mem, data.offset, len)
                          ret := keccak256(mem, len)
                      }
                  }
              /**
               * The minimum of two numbers.
               * @param a - First number.
               * @param b - Second number.
               * @return - the minimum value.
               */
                  function min(uint256 a, uint256 b) pure returns (uint256) {
                      return a < b ? a : b;
                  }
              /**
               * standard solidity memory allocation finalization.
               * copied from solidity generated code
               * @param memPointer - The current memory pointer
               * @param allocationSize - Bytes allocated from memPointer.
               */
                  function finalizeAllocation(uint256 memPointer, uint256 allocationSize) pure {
                      assembly ("memory-safe"){
                          finalize_allocation(memPointer, allocationSize)
                          function finalize_allocation(memPtr, size) {
                              let newFreePtr := add(memPtr, round_up_to_mul_of_32(size))
                              mstore(64, newFreePtr)
                          }
                          function round_up_to_mul_of_32(value) -> result {
                              result := and(add(value, 31), not(31))
                          }
                      }
                  }
              // SPDX-License-Identifier: GPL-3.0
              pragma solidity ^0.8.28;
              import "../interfaces/INonceManager.sol";
              /**
               * nonce management functionality
               */
              abstract contract NonceManager is INonceManager {
                  /**
                   * The next valid sequence number for a given nonce key.
                   */
                  mapping(address => mapping(uint192 => uint256)) public nonceSequenceNumber;
                  /// @inheritdoc INonceManager
                  function getNonce(address sender, uint192 key)
                  public view override returns (uint256 nonce) {
                      return nonceSequenceNumber[sender][key] | (uint256(key) << 64);
                  }
                  /// @inheritdoc INonceManager
                  function incrementNonce(uint192 key) external override {
                      nonceSequenceNumber[msg.sender][key]++;
                  }
                  /**
                   * validate nonce uniqueness for this account.
                   * called just after validateUserOp()
                   * @return true if the nonce was incremented successfully.
                   *         false if the current nonce doesn't match the given one.
                   */
                  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 ^0.8.28;
              /* solhint-disable avoid-low-level-calls */
              /* solhint-disable no-inline-assembly */
              import "../interfaces/ISenderCreator.sol";
              import "../interfaces/IEntryPoint.sol";
              import "../utils/Exec.sol";
              /**
               * Helper contract for EntryPoint, to call userOp.initCode from a "neutral" address,
               * which is explicitly not the entryPoint itself.
               */
              contract SenderCreator is ISenderCreator {
                  address public immutable entryPoint;
                  constructor(){
                      entryPoint = msg.sender;
                  }
                  uint256 private constant REVERT_REASON_MAX_LEN = 2048;
                  /**
                   * 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) {
                      require(msg.sender == entryPoint, "AA97 should call from EntryPoint");
                      address factory = address(bytes20(initCode[0 : 20]));
                      bytes memory initCallData = initCode[20 :];
                      bool success;
                      assembly ("memory-safe") {
                          success := call(
                              gas(),
                              factory,
                              0,
                              add(initCallData, 0x20),
                              mload(initCallData),
                              0,
                              32
                          )
                          if success {
                              sender := mload(0)
                          }
                      }
                  }
                  /// @inheritdoc ISenderCreator
                  function initEip7702Sender(
                      address sender,
                      bytes memory initCallData
                  ) external {
                      require(msg.sender == entryPoint, "AA97 should call from EntryPoint");
                      bool success;
                      assembly ("memory-safe") {
                          success := call(
                              gas(),
                              sender,
                              0,
                              add(initCallData, 0x20),
                              mload(initCallData),
                              0,
                              0
                          )
                      }
                      if (!success) {
                          bytes memory result = Exec.getReturnData(REVERT_REASON_MAX_LEN);
                          revert IEntryPoint.FailedOpWithRevert(0, "AA13 EIP7702 sender init failed", result);
                      }
                  }
              }
              // SPDX-License-Identifier: GPL-3.0
              pragma solidity ^0.8.28;
              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) private deposits;
                  /// @inheritdoc IStakeManager
                  function getDepositInfo(
                      address account
                  ) external view returns (DepositInfo memory info) {
                      return deposits[account];
                  }
                  /**
                   * Internal method to return just the stake info.
                   * @param addr - The account to query.
                   */
                  function _getStakeInfo(
                      address addr
                  ) internal view returns (StakeInfo memory info) {
                      DepositInfo storage depositInfo = deposits[addr];
                      info.stake = depositInfo.stake;
                      info.unstakeDelaySec = depositInfo.unstakeDelaySec;
                  }
                  /// @inheritdoc IStakeManager
                  function balanceOf(address account) public view returns (uint256) {
                      return deposits[account].deposit;
                  }
                  receive() external payable {
                      depositTo(msg.sender);
                  }
                  /**
                   * Increments an account's deposit.
                   * @param account - The account to increment.
                   * @param amount  - The amount to increment by.
                   * @return the updated deposit of this account
                   */
                  function _incrementDeposit(address account, uint256 amount) internal returns (uint256) {
                      unchecked {
                          DepositInfo storage info = deposits[account];
                          uint256 newAmount = info.deposit + amount;
                          info.deposit = newAmount;
                          return newAmount;
                      }
                  }
                  /**
                   * Try to decrement the account's deposit.
                   * @param account - The account to decrement.
                   * @param amount  - The amount to decrement by.
                   * @return true if the decrement succeeded (that is, previous balance was at least that amount)
                   */
                  function _tryDecrementDeposit(address account, uint256 amount) internal returns(bool) {
                      unchecked {
                          DepositInfo storage info = deposits[account];
                          uint256 currentDeposit = info.deposit;
                          if (currentDeposit < amount) {
                              return false;
                          }
                          info.deposit = currentDeposit - amount;
                          return true;
                      }
                  }
                  /// @inheritdoc IStakeManager
                  function depositTo(address account) public virtual payable {
                      uint256 newDeposit = _incrementDeposit(account, msg.value);
                      emit Deposited(account, newDeposit);
                  }
                  /// @inheritdoc IStakeManager
                  function addStake(uint32 unstakeDelaySec) external 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);
                  }
                  /// @inheritdoc IStakeManager
                  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);
                  }
                  /// @inheritdoc IStakeManager
                  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");
                  }
                  /// @inheritdoc IStakeManager
                  function withdrawTo(
                      address payable withdrawAddress,
                      uint256 withdrawAmount
                  ) external {
                      DepositInfo storage info = deposits[msg.sender];
                      uint256 currentDeposit = info.deposit;
                      require(withdrawAmount <= currentDeposit, "Withdraw amount too large");
                      info.deposit = currentDeposit - withdrawAmount;
                      emit Withdrawn(msg.sender, withdrawAddress, withdrawAmount);
                      (bool success,) = withdrawAddress.call{value: withdrawAmount}("");
                      require(success, "failed to withdraw");
                  }
              }
              // SPDX-License-Identifier: MIT
              pragma solidity ^0.8.28;
              /* solhint-disable no-inline-assembly */
              import "../interfaces/PackedUserOperation.sol";
              import {calldataKeccak, min} from "./Helpers.sol";
              /**
               * Utility functions helpful when working with UserOperation structs.
               */
              library UserOperationLib {
                  uint256 public constant PAYMASTER_VALIDATION_GAS_OFFSET = 20;
                  uint256 public constant PAYMASTER_POSTOP_GAS_OFFSET = 36;
                  uint256 public constant PAYMASTER_DATA_OFFSET = 52;
                  /**
                   * Relayer/block builder might submit the TX with higher priorityFee,
                   * but the user should not pay above what he signed for.
                   * @param userOp - The user operation data.
                   */
                  function gasPrice(
                      PackedUserOperation calldata userOp
                  ) internal view returns (uint256) {
                      unchecked {
                          (uint256 maxPriorityFeePerGas, uint256 maxFeePerGas) = unpackUints(userOp.gasFees);
                          return min(maxFeePerGas, maxPriorityFeePerGas + block.basefee);
                      }
                  }
                  bytes32 internal constant PACKED_USEROP_TYPEHASH =
                  keccak256(
                      "PackedUserOperation(address sender,uint256 nonce,bytes initCode,bytes callData,bytes32 accountGasLimits,uint256 preVerificationGas,bytes32 gasFees,bytes paymasterAndData)"
                  );
                  /**
                   * Pack the user operation data into bytes for hashing.
                   * @param userOp - The user operation data.
                   * @param overrideInitCodeHash - If set, encode this instead of the initCode field in the userOp.
                   */
                  function encode(
                      PackedUserOperation calldata userOp,
                      bytes32 overrideInitCodeHash
                  ) internal pure returns (bytes memory ret) {
                      address sender = userOp.sender;
                      uint256 nonce = userOp.nonce;
                      bytes32 hashInitCode = overrideInitCodeHash != 0 ? overrideInitCodeHash : calldataKeccak(userOp.initCode);
                      bytes32 hashCallData = calldataKeccak(userOp.callData);
                      bytes32 accountGasLimits = userOp.accountGasLimits;
                      uint256 preVerificationGas = userOp.preVerificationGas;
                      bytes32 gasFees = userOp.gasFees;
                      bytes32 hashPaymasterAndData = calldataKeccak(userOp.paymasterAndData);
                      return abi.encode(
                          UserOperationLib.PACKED_USEROP_TYPEHASH,
                          sender, nonce,
                          hashInitCode, hashCallData,
                          accountGasLimits, preVerificationGas, gasFees,
                          hashPaymasterAndData
                      );
                  }
                  function unpackUints(
                      bytes32 packed
                  ) internal pure returns (uint256 high128, uint256 low128) {
                      return (unpackHigh128(packed), unpackLow128(packed));
                  }
                  // Unpack just the high 128-bits from a packed value
                  function unpackHigh128(bytes32 packed) internal pure returns (uint256) {
                      return uint256(packed) >> 128;
                  }
                  // Unpack just the low 128-bits from a packed value
                  function unpackLow128(bytes32 packed) internal pure returns (uint256) {
                      return uint128(uint256(packed));
                  }
                  function unpackMaxPriorityFeePerGas(PackedUserOperation calldata userOp)
                  internal pure returns (uint256) {
                      return unpackHigh128(userOp.gasFees);
                  }
                  function unpackMaxFeePerGas(PackedUserOperation calldata userOp)
                  internal pure returns (uint256) {
                      return unpackLow128(userOp.gasFees);
                  }
                  function unpackVerificationGasLimit(PackedUserOperation calldata userOp)
                  internal pure returns (uint256) {
                      return unpackHigh128(userOp.accountGasLimits);
                  }
                  function unpackCallGasLimit(PackedUserOperation calldata userOp)
                  internal pure returns (uint256) {
                      return unpackLow128(userOp.accountGasLimits);
                  }
                  function unpackPaymasterVerificationGasLimit(PackedUserOperation calldata userOp)
                  internal pure returns (uint256) {
                      return uint128(bytes16(userOp.paymasterAndData[PAYMASTER_VALIDATION_GAS_OFFSET : PAYMASTER_POSTOP_GAS_OFFSET]));
                  }
                  function unpackPostOpGasLimit(PackedUserOperation calldata userOp)
                  internal pure returns (uint256) {
                      return uint128(bytes16(userOp.paymasterAndData[PAYMASTER_POSTOP_GAS_OFFSET : PAYMASTER_DATA_OFFSET]));
                  }
                  function unpackPaymasterStaticFields(
                      bytes calldata paymasterAndData
                  ) internal pure returns (address paymaster, uint256 validationGasLimit, uint256 postOpGasLimit) {
                      return (
                          address(bytes20(paymasterAndData[: PAYMASTER_VALIDATION_GAS_OFFSET])),
                          uint128(bytes16(paymasterAndData[PAYMASTER_VALIDATION_GAS_OFFSET : PAYMASTER_POSTOP_GAS_OFFSET])),
                          uint128(bytes16(paymasterAndData[PAYMASTER_POSTOP_GAS_OFFSET : PAYMASTER_DATA_OFFSET]))
                      );
                  }
                  /**
                   * Hash the user operation data.
                   * @param userOp - The user operation data.
                   * @param overrideInitCodeHash - If set, the initCode hash will be replaced with this value just for UserOp hashing.
                   */
                  function hash(
                      PackedUserOperation calldata userOp,
                      bytes32 overrideInitCodeHash
                  ) internal pure returns (bytes32) {
                      return keccak256(encode(userOp, overrideInitCodeHash));
                  }
              }
              // SPDX-License-Identifier: MIT
              pragma solidity ^0.8.28;
              import "./PackedUserOperation.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> aggregatorOrSigFail - 0 for valid signature, 1 to mark signature failure,
                   *                                 otherwise, an address of an "aggregator" contract.
                   *                              <6-byte> validUntil - Last timestamp this operation is valid at, or 0 for "indefinitely"
                   *                              <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(
                      PackedUserOperation calldata userOp,
                      bytes32 userOpHash,
                      uint256 missingAccountFunds
                  ) external returns (uint256 validationData);
              }
              // SPDX-License-Identifier: MIT
              pragma solidity ^0.8.28;
              import "./PackedUserOperation.sol";
              interface IAccountExecute {
                  /**
                   * Account may implement this execute method.
                   * passing this methodSig at the beginning of callData will cause the entryPoint to pass the full UserOp (and hash)
                   * to the account.
                   * The account should skip the methodSig, and use the callData (and optionally, other UserOp fields)
                   *
                   * @param userOp              - The operation that was just validated.
                   * @param userOpHash          - Hash of the user's request data.
                   */
                  function executeUserOp(
                      PackedUserOperation calldata userOp,
                      bytes32 userOpHash
                  ) external;
              }
              // SPDX-License-Identifier: MIT
              pragma solidity ^0.8.28;
              import "./PackedUserOperation.sol";
              /**
               * Aggregated Signatures validator.
               */
              interface IAggregator {
                  /**
                   * Validate an aggregated signature.
                   * Reverts if the aggregated signature does not match the given list of operations.
                   * @param userOps   - An array of UserOperations to validate the signature for.
                   * @param signature - The aggregated signature.
                   */
                  function validateSignatures(
                      PackedUserOperation[] calldata userOps,
                      bytes calldata signature
                  ) external;
                  /**
                   * Validate the signature of a single userOp.
                   * This method should be called by bundler after EntryPointSimulation.simulateValidation() returns
                   * the aggregator this account uses.
                   * 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(
                      PackedUserOperation 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 to perform this aggregation.
                   * @param userOps              - An array of UserOperations to collect the signatures from.
                   * @return aggregatedSignature - The aggregated signature.
                   */
                  function aggregateSignatures(
                      PackedUserOperation[] 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: MIT
              pragma solidity ^0.8.28;
              /* solhint-disable avoid-low-level-calls */
              /* solhint-disable no-inline-assembly */
              /* solhint-disable reason-string */
              import "./PackedUserOperation.sol";
              import "./IStakeManager.sol";
              import "./IAggregator.sol";
              import "./INonceManager.sol";
              import "./ISenderCreator.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 "callData" call.
                   */
                  event UserOperationRevertReason(
                      bytes32 indexed userOpHash,
                      address indexed sender,
                      uint256 nonce,
                      bytes revertReason
                  );
                  /**
                   * An event emitted if the UserOperation Paymaster's "postOp" call 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 "postOp".
                   */
                  event PostOpRevertReason(
                      bytes32 indexed userOpHash,
                      address indexed sender,
                      uint256 nonce,
                      bytes revertReason
                  );
                  /**
                   * UserOp consumed more than prefund. The UserOperation is reverted, and no refund is made.
                   * @param userOpHash   - The request unique identifier.
                   * @param sender       - The sender of this request.
                   * @param nonce        - The nonce used in the request.
                   */
                  event UserOperationPrefundTooLow(
                      bytes32 indexed userOpHash,
                      address indexed sender,
                      uint256 nonce
                  );
                  /**
                   * An event emitted by handleOps() and handleAggregatedOps(), 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.
                   * @param aggregator - The aggregator used for the following UserOperationEvents.
                   */
                  event SignatureAggregatorChanged(address indexed aggregator);
                  /**
                   * A custom revert error of handleOps andhandleAggregatedOps, to identify the offending op.
                   * Should be caught in off-chain handleOps/handleAggregatedOps simulation and not happen on-chain.
                   * Useful for mitigating DoS attempts against batchers or for troubleshooting of factory/account/paymaster reverts.
                   * 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.
                   */
                  error FailedOp(uint256 opIndex, string reason);
                  /**
                   * A custom revert error of handleOps and handleAggregatedOps, to report a revert by account or paymaster.
                   * @param opIndex - Index into the array of ops to the failed one (in simulateValidation, this is always zero).
                   * @param reason  - Revert reason. see FailedOp(uint256,string), above
                   * @param inner   - data from inner cought revert reason
                   * @dev note that inner is truncated to 2048 bytes
                   */
                  error FailedOpWithRevert(uint256 opIndex, string reason, bytes inner);
                  error PostOpReverted(bytes returnData);
                  /**
                   * Error case when a signature aggregator fails to verify the aggregated signature it had created.
                   * @param aggregator The aggregator that failed to verify the signature
                   */
                  error SignatureValidationFailed(address aggregator);
                  // Return value of getSenderAddress.
                  error SenderAddressResult(address sender);
                  // UserOps handled, per aggregator.
                  struct UserOpsPerAggregator {
                      PackedUserOperation[] userOps;
                      // Aggregator address
                      IAggregator aggregator;
                      // Aggregated signature
                      bytes signature;
                  }
                  /**
                   * 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(
                      PackedUserOperation[] 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), entrypoint address, chainId and (optionally) 7702 delegate address
                   * @param userOp - The user operation to generate the request ID for.
                   * @return hash the hash of this UserOperation
                   */
                  function getUserOpHash(
                      PackedUserOperation calldata userOp
                  ) external view returns (bytes32);
                  /**
                   * Gas and return values during simulation.
                   * @param preOpGas         - The gas used for validation (including preValidationGas)
                   * @param prefund          - The required prefund for this operation
                   * @param accountValidationData   - returned validationData from account.
                   * @param paymasterValidationData - return validationData from paymaster.
                   * @param paymasterContext - Returned by validatePaymasterUserOp (to be passed into postOp)
                   */
                  struct ReturnInfo {
                      uint256 preOpGas;
                      uint256 prefund;
                      uint256 accountValidationData;
                      uint256 paymasterValidationData;
                      bytes paymasterContext;
                  }
                  /**
                   * 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.
                   * @notice this method cannot be used for EIP-7702 derived contracts.
                   *
                   * @param initCode - The constructor code to be passed into the UserOperation.
                   */
                  function getSenderAddress(bytes memory initCode) external;
                  error DelegateAndRevert(bool success, bytes ret);
                  /**
                   * Helper method for dry-run testing.
                   * @dev calling this method, the EntryPoint will make a delegatecall to the given data, and report (via revert) the result.
                   *  The method always revert, so is only useful off-chain for dry run calls, in cases where state-override to replace
                   *  actual EntryPoint code is less convenient.
                   * @param target a target contract to make a delegatecall from entrypoint
                   * @param data data to pass to target in a delegatecall
                   */
                  function delegateAndRevert(address target, bytes calldata data) external;
                  /**
                   * @notice Retrieves the immutable SenderCreator contract which is responsible for deployment of sender contracts.
                   */
                  function senderCreator() external view returns (ISenderCreator);
              }
              // SPDX-License-Identifier: MIT
              pragma solidity ^0.8.28;
              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.
                   *
                   * @param key - the "nonce key" to increment the "nonce sequence" for.
                   */
                  function incrementNonce(uint192 key) external;
              }
              // SPDX-License-Identifier: MIT
              pragma solidity ^0.8.28;
              import "./PackedUserOperation.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 {
                      // User op succeeded.
                      opSucceeded,
                      // User op reverted. Still has to pay for gas.
                      opReverted,
                      // Only used internally in the EntryPoint (cleanup after postOp reverts). Never calling paymaster with this value
                      postOpReverted
                  }
                  /**
                   * 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> aggregatorOrSigFail - 0 for valid signature, 1 to mark signature failure,
                   *                                                    other values are invalid for paymaster.
                   *                          <6-byte> validUntil - Last timestamp this operation is valid at, or 0 for "indefinitely"
                   *                          <6-byte> validAfter - first timestamp this operation is valid
                   *                          Note that the validation code cannot use block.timestamp (or block.number) directly.
                   */
                  function validatePaymasterUserOp(
                      PackedUserOperation 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. The paymaster still has to pay for gas.
                   *                        postOpReverted - never passed in a call to postOp().
                   * @param context       - The context value returned by validatePaymasterUserOp
                   * @param actualGasCost - Actual cost of gas used so far (without this postOp call).
                   * @param actualUserOpFeePerGas - the gas price this UserOp pays. This value is based on the UserOp's maxFeePerGas
                   *                        and maxPriorityFee (and basefee)
                   *                        It is not the same as tx.gasprice, which is what the bundler pays.
                   */
                  function postOp(
                      PostOpMode mode,
                      bytes calldata context,
                      uint256 actualGasCost,
                      uint256 actualUserOpFeePerGas
                  ) external;
              }
              
              // SPDX-License-Identifier: MIT
              pragma solidity ^0.8.28;
              interface ISenderCreator {
                  /**
                   * @dev Creates a new sender contract.
                   * @return sender Address of the newly created sender contract.
                   */
                  function createSender(bytes calldata initCode) external returns (address sender);
                  /**
                   * Use initCallData to initialize an EIP-7702 account.
                   * The caller is the EntryPoint contract and it is already verified to be an EIP-7702 account.
                   * Note: Can be called multiple times as long as an appropriate initCode is supplied
                   *
                   * @param sender - the 'sender' EIP-7702 account to be initialized.
                   * @param initCallData - the call data to be passed to the sender account call.
                   */
                  function initEip7702Sender(address sender, bytes calldata initCallData) external;
              }
              // SPDX-License-Identifier: MIT
              pragma solidity ^0.8.28;
              /**
               * 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 fits into one cell (used during handleOp)
                   *      and the rest fit into a 2nd cell (used during stake/unstake)
                   *      - 112 bit allows for 10^15 eth
                   *      - 48 bit for full timestamp
                   *      - 32 bit allows 150 years for unstake delay
                   */
                  struct DepositInfo {
                      uint256 deposit;
                      bool staked;
                      uint112 stake;
                      uint32 unstakeDelaySec;
                      uint48 withdrawTime;
                  }
                  // API struct used by getStakeInfo and simulateValidation.
                  struct StakeInfo {
                      uint256 stake;
                      uint256 unstakeDelaySec;
                  }
                  /**
                   * Get deposit info.
                   * @param account - The account to query.
                   * @return info   - Full deposit information of given account.
                   */
                  function getDepositInfo(
                      address account
                  ) external view returns (DepositInfo memory info);
                  /**
                   * Get account balance.
                   * @param account - The account to query.
                   * @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.
                   * @param account - The account to add to.
                   */
                  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: MIT
              pragma solidity ^0.8.28;
              /**
               * 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 accountGasLimits      - Packed gas limits for validateUserOp and gas limit passed to the callData method call.
               * @param preVerificationGas    - Gas not calculated by the handleOps method, but added to the gas paid.
               *                                Covers batch overhead.
               * @param gasFees               - packed gas fields maxPriorityFeePerGas and maxFeePerGas - Same as EIP-1559 gas parameters.
               * @param paymasterAndData      - If set, this field holds the paymaster address, verification gas limit, postOp gas limit and paymaster-specific extra 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 PackedUserOperation {
                  address sender;
                  uint256 nonce;
                  bytes initCode;
                  bytes callData;
                  bytes32 accountGasLimits;
                  uint256 preVerificationGas;
                  bytes32 gasFees;
                  bytes paymasterAndData;
                  bytes signature;
              }
              // SPDX-License-Identifier: MIT
              pragma solidity ^0.8.28;
              // 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 ("memory-safe") {
                          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 ("memory-safe") {
                          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 ("memory-safe") {
                          success := delegatecall(txGas, to, add(data, 0x20), mload(data), 0, 0)
                      }
                  }
                  // get returned data from last call or delegateCall
                  // maxLen - maximum length of data to return, or zero, for the full length
                  function getReturnData(uint256 maxLen) internal pure returns (bytes memory returnData) {
                      assembly ("memory-safe") {
                          let len := returndatasize()
                          if gt(maxLen,0) {
                              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 ("memory-safe") {
                          revert(add(returnData, 32), mload(returnData))
                      }
                  }
                  // Propagate revert data from last call
                  function revertWithReturnData() internal pure {
                      revertWithData(getReturnData(0));
                  }
              }
              

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