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// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.8.0 >=0.8.4 ^0.8.0 ^0.8.20;

// node_modules/@openzeppelin-5/contracts/utils/Context.sol

// OpenZeppelin Contracts (last updated v5.0.1) (utils/Context.sol)

/**
 * @dev Provides information about the current execution context, including the
 * sender of the transaction and its data. While these are generally available
 * via msg.sender and msg.data, they should not be accessed in such a direct
 * manner, since when dealing with meta-transactions the account sending and
 * paying for execution may not be the actual sender (as far as an application
 * is concerned).
 *
 * This contract is only required for intermediate, library-like contracts.
 */
abstract contract Context {
  function _msgSender() internal view virtual returns (address) {
    return msg.sender;
  }

  function _msgData() internal view virtual returns (bytes calldata) {
    return msg.data;
  }

  function _contextSuffixLength() internal view virtual returns (uint256) {
    return 0;
  }
}

// node_modules/@openzeppelin-5/contracts/utils/cryptography/ECDSA.sol

// OpenZeppelin Contracts (last updated v5.0.0) (utils/cryptography/ECDSA.sol)

/**
 * @dev Elliptic Curve Digital Signature Algorithm (ECDSA) operations.
 *
 * These functions can be used to verify that a message was signed by the holder
 * of the private keys of a given address.
 */
library ECDSA {
  enum RecoverError {
    NoError,
    InvalidSignature,
    InvalidSignatureLength,
    InvalidSignatureS
  }

  /**
   * @dev The signature derives the `address(0)`.
   */
  error ECDSAInvalidSignature();

  /**
   * @dev The signature has an invalid length.
   */
  error ECDSAInvalidSignatureLength(uint256 length);

  /**
   * @dev The signature has an S value that is in the upper half order.
   */
  error ECDSAInvalidSignatureS(bytes32 s);

  /**
   * @dev Returns the address that signed a hashed message (`hash`) with `signature` or an error. This will not
   * return address(0) without also returning an error description. Errors are documented using an enum (error type)
   * and a bytes32 providing additional information about the error.
   *
   * If no error is returned, then the address can be used for verification purposes.
   *
   * The `ecrecover` EVM precompile allows for malleable (non-unique) signatures:
   * this function rejects them by requiring the `s` value to be in the lower
   * half order, and the `v` value to be either 27 or 28.
   *
   * IMPORTANT: `hash` _must_ be the result of a hash operation for the
   * verification to be secure: it is possible to craft signatures that
   * recover to arbitrary addresses for non-hashed data. A safe way to ensure
   * this is by receiving a hash of the original message (which may otherwise
   * be too long), and then calling {MessageHashUtils-toEthSignedMessageHash} on it.
   *
   * Documentation for signature generation:
   * - with https://web3js.readthedocs.io/en/v1.3.4/web3-eth-accounts.html#sign[Web3.js]
   * - with https://docs.ethers.io/v5/api/signer/#Signer-signMessage[ethers]
   */
  function tryRecover(bytes32 hash, bytes memory signature) internal pure returns (address, RecoverError, bytes32) {
    if (signature.length == 65) {
      bytes32 r;
      bytes32 s;
      uint8 v;
      // ecrecover takes the signature parameters, and the only way to get them
      // currently is to use assembly.
      /// @solidity memory-safe-assembly
      assembly {
        r := mload(add(signature, 0x20))
        s := mload(add(signature, 0x40))
        v := byte(0, mload(add(signature, 0x60)))
      }
      return tryRecover(hash, v, r, s);
    } else {
      return (address(0), RecoverError.InvalidSignatureLength, bytes32(signature.length));
    }
  }

  /**
   * @dev Returns the address that signed a hashed message (`hash`) with
   * `signature`. This address can then be used for verification purposes.
   *
   * The `ecrecover` EVM precompile allows for malleable (non-unique) signatures:
   * this function rejects them by requiring the `s` value to be in the lower
   * half order, and the `v` value to be either 27 or 28.
   *
   * IMPORTANT: `hash` _must_ be the result of a hash operation for the
   * verification to be secure: it is possible to craft signatures that
   * recover to arbitrary addresses for non-hashed data. A safe way to ensure
   * this is by receiving a hash of the original message (which may otherwise
   * be too long), and then calling {MessageHashUtils-toEthSignedMessageHash} on it.
   */
  function recover(bytes32 hash, bytes memory signature) internal pure returns (address) {
    (address recovered, RecoverError error, bytes32 errorArg) = tryRecover(hash, signature);
    _throwError(error, errorArg);
    return recovered;
  }

  /**
   * @dev Overload of {ECDSA-tryRecover} that receives the `r` and `vs` short-signature fields separately.
   *
   * See https://eips.ethereum.org/EIPS/eip-2098[EIP-2098 short signatures]
   */
  function tryRecover(bytes32 hash, bytes32 r, bytes32 vs) internal pure returns (address, RecoverError, bytes32) {
    unchecked {
      bytes32 s = vs & bytes32(0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff);
      // We do not check for an overflow here since the shift operation results in 0 or 1.
      uint8 v = uint8((uint256(vs) >> 255) + 27);
      return tryRecover(hash, v, r, s);
    }
  }

  /**
   * @dev Overload of {ECDSA-recover} that receives the `r and `vs` short-signature fields separately.
   */
  function recover(bytes32 hash, bytes32 r, bytes32 vs) internal pure returns (address) {
    (address recovered, RecoverError error, bytes32 errorArg) = tryRecover(hash, r, vs);
    _throwError(error, errorArg);
    return recovered;
  }

  /**
   * @dev Overload of {ECDSA-tryRecover} that receives the `v`,
   * `r` and `s` signature fields separately.
   */
  function tryRecover(
    bytes32 hash,
    uint8 v,
    bytes32 r,
    bytes32 s
  ) internal pure returns (address, RecoverError, bytes32) {
    // EIP-2 still allows signature malleability for ecrecover(). Remove this possibility and make the signature
    // unique. Appendix F in the Ethereum Yellow paper (https://ethereum.github.io/yellowpaper/paper.pdf), defines
    // the valid range for s in (301): 0 < s < secp256k1n ÷ 2 + 1, and for v in (302): v ∈ {27, 28}. Most
    // signatures from current libraries generate a unique signature with an s-value in the lower half order.
    //
    // If your library generates malleable signatures, such as s-values in the upper range, calculate a new s-value
    // with 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141 - s1 and flip v from 27 to 28 or
    // vice versa. If your library also generates signatures with 0/1 for v instead 27/28, add 27 to v to accept
    // these malleable signatures as well.
    if (uint256(s) > 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF5D576E7357A4501DDFE92F46681B20A0) {
      return (address(0), RecoverError.InvalidSignatureS, s);
    }

    // If the signature is valid (and not malleable), return the signer address
    address signer = ecrecover(hash, v, r, s);
    if (signer == address(0)) {
      return (address(0), RecoverError.InvalidSignature, bytes32(0));
    }

    return (signer, RecoverError.NoError, bytes32(0));
  }

  /**
   * @dev Overload of {ECDSA-recover} that receives the `v`,
   * `r` and `s` signature fields separately.
   */
  function recover(bytes32 hash, uint8 v, bytes32 r, bytes32 s) internal pure returns (address) {
    (address recovered, RecoverError error, bytes32 errorArg) = tryRecover(hash, v, r, s);
    _throwError(error, errorArg);
    return recovered;
  }

  /**
   * @dev Optionally reverts with the corresponding custom error according to the `error` argument provided.
   */
  function _throwError(RecoverError error, bytes32 errorArg) private pure {
    if (error == RecoverError.NoError) {
      return; // no error: do nothing
    } else if (error == RecoverError.InvalidSignature) {
      revert ECDSAInvalidSignature();
    } else if (error == RecoverError.InvalidSignatureLength) {
      revert ECDSAInvalidSignatureLength(uint256(errorArg));
    } else if (error == RecoverError.InvalidSignatureS) {
      revert ECDSAInvalidSignatureS(errorArg);
    }
  }
}

// node_modules/@openzeppelin/contracts/utils/introspection/IERC165.sol

// OpenZeppelin Contracts v4.4.1 (utils/introspection/IERC165.sol)

/**
 * @dev Interface of the ERC165 standard, as defined in the
 * https://eips.ethereum.org/EIPS/eip-165[EIP].
 *
 * Implementers can declare support of contract interfaces, which can then be
 * queried by others ({ERC165Checker}).
 *
 * For an implementation, see {ERC165}.
 */
interface IERC165_0 {
  /**
   * @dev Returns true if this contract implements the interface defined by
   * `interfaceId`. See the corresponding
   * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[EIP section]
   * to learn more about how these ids are created.
   *
   * This function call must use less than 30 000 gas.
   */
  function supportsInterface(bytes4 interfaceId) external view returns (bool);
}

// node_modules/@openzeppelin-5/contracts/utils/introspection/IERC165.sol

// OpenZeppelin Contracts (last updated v5.0.0) (utils/introspection/IERC165.sol)

/**
 * @dev Interface of the ERC165 standard, as defined in the
 * https://eips.ethereum.org/EIPS/eip-165[EIP].
 *
 * Implementers can declare support of contract interfaces, which can then be
 * queried by others ({ERC165Checker}).
 *
 * For an implementation, see {ERC165}.
 */
interface IERC165_1 {
  /**
   * @dev Returns true if this contract implements the interface defined by
   * `interfaceId`. See the corresponding
   * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[EIP section]
   * to learn more about how these ids are created.
   *
   * This function call must use less than 30 000 gas.
   */
  function supportsInterface(bytes4 interfaceId) external view returns (bool);
}

// node_modules/@openzeppelin-5/contracts/token/ERC20/IERC20.sol

// OpenZeppelin Contracts (last updated v5.0.0) (token/ERC20/IERC20.sol)

/**
 * @dev Interface of the ERC20 standard as defined in the EIP.
 */
interface IERC20 {
  /**
   * @dev Emitted when `value` tokens are moved from one account (`from`) to
   * another (`to`).
   *
   * Note that `value` may be zero.
   */
  event Transfer(address indexed from, address indexed to, uint256 value);

  /**
   * @dev Emitted when the allowance of a `spender` for an `owner` is set by
   * a call to {approve}. `value` is the new allowance.
   */
  event Approval(address indexed owner, address indexed spender, uint256 value);

  /**
   * @dev Returns the value of tokens in existence.
   */
  function totalSupply() external view returns (uint256);

  /**
   * @dev Returns the value of tokens owned by `account`.
   */
  function balanceOf(address account) external view returns (uint256);

  /**
   * @dev Moves a `value` amount of tokens from the caller's account to `to`.
   *
   * Returns a boolean value indicating whether the operation succeeded.
   *
   * Emits a {Transfer} event.
   */
  function transfer(address to, uint256 value) external returns (bool);

  /**
   * @dev Returns the remaining number of tokens that `spender` will be
   * allowed to spend on behalf of `owner` through {transferFrom}. This is
   * zero by default.
   *
   * This value changes when {approve} or {transferFrom} are called.
   */
  function allowance(address owner, address spender) external view returns (uint256);

  /**
   * @dev Sets a `value` amount of tokens as the allowance of `spender` over the
   * caller's tokens.
   *
   * Returns a boolean value indicating whether the operation succeeded.
   *
   * IMPORTANT: Beware that changing an allowance with this method brings the risk
   * that someone may use both the old and the new allowance by unfortunate
   * transaction ordering. One possible solution to mitigate this race
   * condition is to first reduce the spender's allowance to 0 and set the
   * desired value afterwards:
   * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
   *
   * Emits an {Approval} event.
   */
  function approve(address spender, uint256 value) external returns (bool);

  /**
   * @dev Moves a `value` amount of tokens from `from` to `to` using the
   * allowance mechanism. `value` is then deducted from the caller's
   * allowance.
   *
   * Returns a boolean value indicating whether the operation succeeded.
   *
   * Emits a {Transfer} event.
   */
  function transferFrom(address from, address to, uint256 value) external returns (bool);
}

// node_modules/@openzeppelin-5/contracts/token/ERC20/extensions/IERC20Permit.sol

// OpenZeppelin Contracts (last updated v5.0.0) (token/ERC20/extensions/IERC20Permit.sol)

/**
 * @dev Interface of the ERC20 Permit extension allowing approvals to be made via signatures, as defined in
 * https://eips.ethereum.org/EIPS/eip-2612[EIP-2612].
 *
 * Adds the {permit} method, which can be used to change an account's ERC20 allowance (see {IERC20-allowance}) by
 * presenting a message signed by the account. By not relying on {IERC20-approve}, the token holder account doesn't
 * need to send a transaction, and thus is not required to hold Ether at all.
 *
 * ==== Security Considerations
 *
 * There are two important considerations concerning the use of `permit`. The first is that a valid permit signature
 * expresses an allowance, and it should not be assumed to convey additional meaning. In particular, it should not be
 * considered as an intention to spend the allowance in any specific way. The second is that because permits have
 * built-in replay protection and can be submitted by anyone, they can be frontrun. A protocol that uses permits should
 * take this into consideration and allow a `permit` call to fail. Combining these two aspects, a pattern that may be
 * generally recommended is:
 *
 * ```solidity
 * function doThingWithPermit(..., uint256 value, uint256 deadline, uint8 v, bytes32 r, bytes32 s) public {
 *     try token.permit(msg.sender, address(this), value, deadline, v, r, s) {} catch {}
 *     doThing(..., value);
 * }
 *
 * function doThing(..., uint256 value) public {
 *     token.safeTransferFrom(msg.sender, address(this), value);
 *     ...
 * }
 * ```
 *
 * Observe that: 1) `msg.sender` is used as the owner, leaving no ambiguity as to the signer intent, and 2) the use of
 * `try/catch` allows the permit to fail and makes the code tolerant to frontrunning. (See also
 * {SafeERC20-safeTransferFrom}).
 *
 * Additionally, note that smart contract wallets (such as Argent or Safe) are not able to produce permit signatures, so
 * contracts should have entry points that don't rely on permit.
 */
interface IERC20Permit {
  /**
   * @dev Sets `value` as the allowance of `spender` over ``owner``'s tokens,
   * given ``owner``'s signed approval.
   *
   * IMPORTANT: The same issues {IERC20-approve} has related to transaction
   * ordering also apply here.
   *
   * Emits an {Approval} event.
   *
   * Requirements:
   *
   * - `spender` cannot be the zero address.
   * - `deadline` must be a timestamp in the future.
   * - `v`, `r` and `s` must be a valid `secp256k1` signature from `owner`
   * over the EIP712-formatted function arguments.
   * - the signature must use ``owner``'s current nonce (see {nonces}).
   *
   * For more information on the signature format, see the
   * https://eips.ethereum.org/EIPS/eip-2612#specification[relevant EIP
   * section].
   *
   * CAUTION: See Security Considerations above.
   */
  function permit(
    address owner,
    address spender,
    uint256 value,
    uint256 deadline,
    uint8 v,
    bytes32 r,
    bytes32 s
  ) external;

  /**
   * @dev Returns the current nonce for `owner`. This value must be
   * included whenever a signature is generated for {permit}.
   *
   * Every successful call to {permit} increases ``owner``'s nonce by one. This
   * prevents a signature from being used multiple times.
   */
  function nonces(address owner) external view returns (uint256);

  /**
   * @dev Returns the domain separator used in the encoding of the signature for {permit}, as defined by {EIP712}.
   */
  // solhint-disable-next-line func-name-mixedcase
  function DOMAIN_SEPARATOR() external view returns (bytes32);
}

// node_modules/@openzeppelin-5/contracts/interfaces/IERC5267.sol

// OpenZeppelin Contracts (last updated v5.0.0) (interfaces/IERC5267.sol)

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
    );
}

// lib/optimism/packages/contracts-bedrock/src/universal/ISemver.sol

/// @title ISemver
/// @notice ISemver is a simple contract for ensuring that contracts are
///         versioned using semantic versioning.
interface ISemver {
  /// @notice Getter for the semantic version of the contract. This is not
  ///         meant to be used onchain but instead meant to be used by offchain
  ///         tooling.
  /// @return Semver contract version as a string.
  function version() external view returns (string memory);
}

// node_modules/@openzeppelin-5/contracts/utils/math/Math.sol

// OpenZeppelin Contracts (last updated v5.0.0) (utils/math/Math.sol)

/**
 * @dev Standard math utilities missing in the Solidity language.
 */
library Math {
  /**
   * @dev Muldiv operation overflow.
   */
  error MathOverflowedMulDiv();

  enum Rounding {
    Floor, // Toward negative infinity
    Ceil, // Toward positive infinity
    Trunc, // Toward zero
    Expand // Away from zero
  }

  /**
   * @dev Returns the addition of two unsigned integers, with an overflow flag.
   */
  function tryAdd(uint256 a, uint256 b) internal pure returns (bool, uint256) {
    unchecked {
      uint256 c = a + b;
      if (c < a) return (false, 0);
      return (true, c);
    }
  }

  /**
   * @dev Returns the subtraction of two unsigned integers, with an overflow flag.
   */
  function trySub(uint256 a, uint256 b) internal pure returns (bool, uint256) {
    unchecked {
      if (b > a) return (false, 0);
      return (true, a - b);
    }
  }

  /**
   * @dev Returns the multiplication of two unsigned integers, with an overflow flag.
   */
  function tryMul(uint256 a, uint256 b) internal pure returns (bool, uint256) {
    unchecked {
      // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
      // benefit is lost if 'b' is also tested.
      // See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522
      if (a == 0) return (true, 0);
      uint256 c = a * b;
      if (c / a != b) return (false, 0);
      return (true, c);
    }
  }

  /**
   * @dev Returns the division of two unsigned integers, with a division by zero flag.
   */
  function tryDiv(uint256 a, uint256 b) internal pure returns (bool, uint256) {
    unchecked {
      if (b == 0) return (false, 0);
      return (true, a / b);
    }
  }

  /**
   * @dev Returns the remainder of dividing two unsigned integers, with a division by zero flag.
   */
  function tryMod(uint256 a, uint256 b) internal pure returns (bool, uint256) {
    unchecked {
      if (b == 0) return (false, 0);
      return (true, a % b);
    }
  }

  /**
   * @dev Returns the largest of two numbers.
   */
  function max(uint256 a, uint256 b) internal pure returns (uint256) {
    return a > b ? a : b;
  }

  /**
   * @dev Returns the smallest of two numbers.
   */
  function min(uint256 a, uint256 b) internal pure returns (uint256) {
    return a < b ? a : b;
  }

  /**
   * @dev Returns the average of two numbers. The result is rounded towards
   * zero.
   */
  function average(uint256 a, uint256 b) internal pure returns (uint256) {
    // (a + b) / 2 can overflow.
    return (a & b) + (a ^ b) / 2;
  }

  /**
   * @dev Returns the ceiling of the division of two numbers.
   *
   * This differs from standard division with `/` in that it rounds towards infinity instead
   * of rounding towards zero.
   */
  function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) {
    if (b == 0) {
      // Guarantee the same behavior as in a regular Solidity division.
      return a / b;
    }

    // (a + b - 1) / b can overflow on addition, so we distribute.
    return a == 0 ? 0 : (a - 1) / b + 1;
  }

  /**
   * @notice Calculates floor(x * y / denominator) with full precision. Throws if result overflows a uint256 or
   * denominator == 0.
   * @dev Original credit to Remco Bloemen under MIT license (https://xn--2-umb.com/21/muldiv) with further edits by
   * Uniswap Labs also under MIT license.
   */
  function mulDiv(uint256 x, uint256 y, uint256 denominator) internal pure returns (uint256 result) {
    unchecked {
      // 512-bit multiply [prod1 prod0] = x * y. Compute the product mod 2^256 and mod 2^256 - 1, then use
      // use the Chinese Remainder Theorem to reconstruct the 512 bit result. The result is stored in two 256
      // variables such that product = prod1 * 2^256 + prod0.
      uint256 prod0 = x * y; // Least significant 256 bits of the product
      uint256 prod1; // Most significant 256 bits of the product
      assembly {
        let mm := mulmod(x, y, not(0))
        prod1 := sub(sub(mm, prod0), lt(mm, prod0))
      }

      // Handle non-overflow cases, 256 by 256 division.
      if (prod1 == 0) {
        // Solidity will revert if denominator == 0, unlike the div opcode on its own.
        // The surrounding unchecked block does not change this fact.
        // See https://docs.soliditylang.org/en/latest/control-structures.html#checked-or-unchecked-arithmetic.
        return prod0 / denominator;
      }

      // Make sure the result is less than 2^256. Also prevents denominator == 0.
      if (denominator <= prod1) {
        revert MathOverflowedMulDiv();
      }

      ///////////////////////////////////////////////
      // 512 by 256 division.
      ///////////////////////////////////////////////

      // Make division exact by subtracting the remainder from [prod1 prod0].
      uint256 remainder;
      assembly {
        // Compute remainder using mulmod.
        remainder := mulmod(x, y, denominator)

        // Subtract 256 bit number from 512 bit number.
        prod1 := sub(prod1, gt(remainder, prod0))
        prod0 := sub(prod0, remainder)
      }

      // Factor powers of two out of denominator and compute largest power of two divisor of denominator.
      // Always >= 1. See https://cs.stackexchange.com/q/138556/92363.

      uint256 twos = denominator & (0 - denominator);
      assembly {
        // Divide denominator by twos.
        denominator := div(denominator, twos)

        // Divide [prod1 prod0] by twos.
        prod0 := div(prod0, twos)

        // Flip twos such that it is 2^256 / twos. If twos is zero, then it becomes one.
        twos := add(div(sub(0, twos), twos), 1)
      }

      // Shift in bits from prod1 into prod0.
      prod0 |= prod1 * twos;

      // Invert denominator mod 2^256. Now that denominator is an odd number, it has an inverse modulo 2^256 such
      // that denominator * inv = 1 mod 2^256. Compute the inverse by starting with a seed that is correct for
      // four bits. That is, denominator * inv = 1 mod 2^4.
      uint256 inverse = (3 * denominator) ^ 2;

      // Use the Newton-Raphson iteration to improve the precision. Thanks to Hensel's lifting lemma, this also
      // works in modular arithmetic, doubling the correct bits in each step.
      inverse *= 2 - denominator * inverse; // inverse mod 2^8
      inverse *= 2 - denominator * inverse; // inverse mod 2^16
      inverse *= 2 - denominator * inverse; // inverse mod 2^32
      inverse *= 2 - denominator * inverse; // inverse mod 2^64
      inverse *= 2 - denominator * inverse; // inverse mod 2^128
      inverse *= 2 - denominator * inverse; // inverse mod 2^256

      // Because the division is now exact we can divide by multiplying with the modular inverse of denominator.
      // This will give us the correct result modulo 2^256. Since the preconditions guarantee that the outcome is
      // less than 2^256, this is the final result. We don't need to compute the high bits of the result and prod1
      // is no longer required.
      result = prod0 * inverse;
      return result;
    }
  }

  /**
   * @notice Calculates x * y / denominator with full precision, following the selected rounding direction.
   */
  function mulDiv(uint256 x, uint256 y, uint256 denominator, Rounding rounding) internal pure returns (uint256) {
    uint256 result = mulDiv(x, y, denominator);
    if (unsignedRoundsUp(rounding) && mulmod(x, y, denominator) > 0) {
      result += 1;
    }
    return result;
  }

  /**
   * @dev Returns the square root of a number. If the number is not a perfect square, the value is rounded
   * towards zero.
   *
   * Inspired by Henry S. Warren, Jr.'s "Hacker's Delight" (Chapter 11).
   */
  function sqrt(uint256 a) internal pure returns (uint256) {
    if (a == 0) {
      return 0;
    }

    // For our first guess, we get the biggest power of 2 which is smaller than the square root of the target.
    //
    // We know that the "msb" (most significant bit) of our target number `a` is a power of 2 such that we have
    // `msb(a) <= a < 2*msb(a)`. This value can be written `msb(a)=2**k` with `k=log2(a)`.
    //
    // This can be rewritten `2**log2(a) <= a < 2**(log2(a) + 1)`
    // → `sqrt(2**k) <= sqrt(a) < sqrt(2**(k+1))`
    // → `2**(k/2) <= sqrt(a) < 2**((k+1)/2) <= 2**(k/2 + 1)`
    //
    // Consequently, `2**(log2(a) / 2)` is a good first approximation of `sqrt(a)` with at least 1 correct bit.
    uint256 result = 1 << (log2(a) >> 1);

    // At this point `result` is an estimation with one bit of precision. We know the true value is a uint128,
    // since it is the square root of a uint256. Newton's method converges quadratically (precision doubles at
    // every iteration). We thus need at most 7 iteration to turn our partial result with one bit of precision
    // into the expected uint128 result.
    unchecked {
      result = (result + a / result) >> 1;
      result = (result + a / result) >> 1;
      result = (result + a / result) >> 1;
      result = (result + a / result) >> 1;
      result = (result + a / result) >> 1;
      result = (result + a / result) >> 1;
      result = (result + a / result) >> 1;
      return min(result, a / result);
    }
  }

  /**
   * @notice Calculates sqrt(a), following the selected rounding direction.
   */
  function sqrt(uint256 a, Rounding rounding) internal pure returns (uint256) {
    unchecked {
      uint256 result = sqrt(a);
      return result + (unsignedRoundsUp(rounding) && result * result < a ? 1 : 0);
    }
  }

  /**
   * @dev Return the log in base 2 of a positive value rounded towards zero.
   * Returns 0 if given 0.
   */
  function log2(uint256 value) internal pure returns (uint256) {
    uint256 result = 0;
    unchecked {
      if (value >> 128 > 0) {
        value >>= 128;
        result += 128;
      }
      if (value >> 64 > 0) {
        value >>= 64;
        result += 64;
      }
      if (value >> 32 > 0) {
        value >>= 32;
        result += 32;
      }
      if (value >> 16 > 0) {
        value >>= 16;
        result += 16;
      }
      if (value >> 8 > 0) {
        value >>= 8;
        result += 8;
      }
      if (value >> 4 > 0) {
        value >>= 4;
        result += 4;
      }
      if (value >> 2 > 0) {
        value >>= 2;
        result += 2;
      }
      if (value >> 1 > 0) {
        result += 1;
      }
    }
    return result;
  }

  /**
   * @dev Return the log in base 2, following the selected rounding direction, of a positive value.
   * Returns 0 if given 0.
   */
  function log2(uint256 value, Rounding rounding) internal pure returns (uint256) {
    unchecked {
      uint256 result = log2(value);
      return result + (unsignedRoundsUp(rounding) && 1 << result < value ? 1 : 0);
    }
  }

  /**
   * @dev Return the log in base 10 of a positive value rounded towards zero.
   * Returns 0 if given 0.
   */
  function log10(uint256 value) internal pure returns (uint256) {
    uint256 result = 0;
    unchecked {
      if (value >= 10 ** 64) {
        value /= 10 ** 64;
        result += 64;
      }
      if (value >= 10 ** 32) {
        value /= 10 ** 32;
        result += 32;
      }
      if (value >= 10 ** 16) {
        value /= 10 ** 16;
        result += 16;
      }
      if (value >= 10 ** 8) {
        value /= 10 ** 8;
        result += 8;
      }
      if (value >= 10 ** 4) {
        value /= 10 ** 4;
        result += 4;
      }
      if (value >= 10 ** 2) {
        value /= 10 ** 2;
        result += 2;
      }
      if (value >= 10 ** 1) {
        result += 1;
      }
    }
    return result;
  }

  /**
   * @dev Return the log in base 10, following the selected rounding direction, of a positive value.
   * Returns 0 if given 0.
   */
  function log10(uint256 value, Rounding rounding) internal pure returns (uint256) {
    unchecked {
      uint256 result = log10(value);
      return result + (unsignedRoundsUp(rounding) && 10 ** result < value ? 1 : 0);
    }
  }

  /**
   * @dev Return the log in base 256 of a positive value rounded towards zero.
   * Returns 0 if given 0.
   *
   * Adding one to the result gives the number of pairs of hex symbols needed to represent `value` as a hex string.
   */
  function log256(uint256 value) internal pure returns (uint256) {
    uint256 result = 0;
    unchecked {
      if (value >> 128 > 0) {
        value >>= 128;
        result += 16;
      }
      if (value >> 64 > 0) {
        value >>= 64;
        result += 8;
      }
      if (value >> 32 > 0) {
        value >>= 32;
        result += 4;
      }
      if (value >> 16 > 0) {
        value >>= 16;
        result += 2;
      }
      if (value >> 8 > 0) {
        result += 1;
      }
    }
    return result;
  }

  /**
   * @dev Return the log in base 256, following the selected rounding direction, of a positive value.
   * Returns 0 if given 0.
   */
  function log256(uint256 value, Rounding rounding) internal pure returns (uint256) {
    unchecked {
      uint256 result = log256(value);
      return result + (unsignedRoundsUp(rounding) && 1 << (result << 3) < value ? 1 : 0);
    }
  }

  /**
   * @dev Returns whether a provided rounding mode is considered rounding up for unsigned integers.
   */
  function unsignedRoundsUp(Rounding rounding) internal pure returns (bool) {
    return uint8(rounding) % 2 == 1;
  }
}

// node_modules/@openzeppelin-5/contracts/utils/Nonces.sol

// OpenZeppelin Contracts (last updated v5.0.0) (utils/Nonces.sol)

/**
 * @dev Provides tracking nonces for addresses. Nonces will only increment.
 */
abstract contract Nonces {
  /**
   * @dev The nonce used for an `account` is not the expected current nonce.
   */
  error InvalidAccountNonce(address account, uint256 currentNonce);

  mapping(address account => uint256) private _nonces;

  /**
   * @dev Returns the next unused nonce for an address.
   */
  function nonces(address owner) public view virtual returns (uint256) {
    return _nonces[owner];
  }

  /**
   * @dev Consumes a nonce.
   *
   * Returns the current value and increments nonce.
   */
  function _useNonce(address owner) internal virtual returns (uint256) {
    // For each account, the nonce has an initial value of 0, can only be incremented by one, and cannot be
    // decremented or reset. This guarantees that the nonce never overflows.
    unchecked {
      // It is important to do x++ and not ++x here.
      return _nonces[owner]++;
    }
  }

  /**
   * @dev Same as {_useNonce} but checking that `nonce` is the next valid for `owner`.
   */
  function _useCheckedNonce(address owner, uint256 nonce) internal virtual {
    uint256 current = _useNonce(owner);
    if (nonce != current) {
      revert InvalidAccountNonce(owner, current);
    }
  }
}

// src/contracts/L2/ERC20s/OwnedV2.sol

// https://docs.synthetix.io/contracts/Owned
contract OwnedV2 {
  error OwnerCannotBeZero();
  error InvalidOwnershipAcceptance();
  error OnlyOwner();

  address public owner;
  address public nominatedOwner;

  constructor(address _owner) {
    // require(_owner != address(0), "Owner address cannot be 0");
    if (_owner == address(0)) revert OwnerCannotBeZero();
    owner = _owner;
    emit OwnerChanged(address(0), _owner);
  }

  function nominateNewOwner(address _owner) external onlyOwner {
    nominatedOwner = _owner;
    emit OwnerNominated(_owner);
  }

  function acceptOwnership() external {
    // require(msg.sender == nominatedOwner, "You must be nominated before you can accept ownership");
    if (msg.sender != nominatedOwner) revert InvalidOwnershipAcceptance();
    emit OwnerChanged(owner, nominatedOwner);
    owner = nominatedOwner;
    nominatedOwner = address(0);
  }

  modifier onlyOwner() {
    // require(msg.sender == owner, "Only the contract owner may perform this action");
    if (msg.sender != owner) revert OnlyOwner();
    _;
  }

  event OwnerNominated(address newOwner);
  event OwnerChanged(address oldOwner, address newOwner);
}

// node_modules/@openzeppelin-5/contracts/utils/math/SignedMath.sol

// OpenZeppelin Contracts (last updated v5.0.0) (utils/math/SignedMath.sol)

/**
 * @dev Standard signed math utilities missing in the Solidity language.
 */
library SignedMath {
  /**
   * @dev Returns the largest of two signed numbers.
   */
  function max(int256 a, int256 b) internal pure returns (int256) {
    return a > b ? a : b;
  }

  /**
   * @dev Returns the smallest of two signed numbers.
   */
  function min(int256 a, int256 b) internal pure returns (int256) {
    return a < b ? a : b;
  }

  /**
   * @dev Returns the average of two signed numbers without overflow.
   * The result is rounded towards zero.
   */
  function average(int256 a, int256 b) internal pure returns (int256) {
    // Formula from the book "Hacker's Delight"
    int256 x = (a & b) + ((a ^ b) >> 1);
    return x + (int256(uint256(x) >> 255) & (a ^ b));
  }

  /**
   * @dev Returns the absolute unsigned value of a signed value.
   */
  function abs(int256 n) internal pure returns (uint256) {
    unchecked {
      // must be unchecked in order to support `n = type(int256).min`
      return uint256(n >= 0 ? n : -n);
    }
  }
}

// node_modules/@openzeppelin-5/contracts/utils/StorageSlot.sol

// OpenZeppelin Contracts (last updated v5.0.0) (utils/StorageSlot.sol)
// This file was procedurally generated from scripts/generate/templates/StorageSlot.js.

/**
 * @dev Library for reading and writing primitive types to specific storage slots.
 *
 * Storage slots are often used to avoid storage conflict when dealing with upgradeable contracts.
 * This library helps with reading and writing to such slots without the need for inline assembly.
 *
 * The functions in this library return Slot structs that contain a `value` member that can be used to read or write.
 *
 * Example usage to set ERC1967 implementation slot:
 * ```solidity
 * contract ERC1967 {
 *     bytes32 internal constant _IMPLEMENTATION_SLOT = 0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc;
 *
 *     function _getImplementation() internal view returns (address) {
 *         return StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value;
 *     }
 *
 *     function _setImplementation(address newImplementation) internal {
 *         require(newImplementation.code.length > 0);
 *         StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value = newImplementation;
 *     }
 * }
 * ```
 */
library StorageSlot {
  struct AddressSlot {
    address value;
  }

  struct BooleanSlot {
    bool value;
  }

  struct Bytes32Slot {
    bytes32 value;
  }

  struct Uint256Slot {
    uint256 value;
  }

  struct StringSlot {
    string value;
  }

  struct BytesSlot {
    bytes value;
  }

  /**
   * @dev Returns an `AddressSlot` with member `value` located at `slot`.
   */
  function getAddressSlot(bytes32 slot) internal pure returns (AddressSlot storage r) {
    /// @solidity memory-safe-assembly
    assembly {
      r.slot := slot
    }
  }

  /**
   * @dev Returns an `BooleanSlot` with member `value` located at `slot`.
   */
  function getBooleanSlot(bytes32 slot) internal pure returns (BooleanSlot storage r) {
    /// @solidity memory-safe-assembly
    assembly {
      r.slot := slot
    }
  }

  /**
   * @dev Returns an `Bytes32Slot` with member `value` located at `slot`.
   */
  function getBytes32Slot(bytes32 slot) internal pure returns (Bytes32Slot storage r) {
    /// @solidity memory-safe-assembly
    assembly {
      r.slot := slot
    }
  }

  /**
   * @dev Returns an `Uint256Slot` with member `value` located at `slot`.
   */
  function getUint256Slot(bytes32 slot) internal pure returns (Uint256Slot storage r) {
    /// @solidity memory-safe-assembly
    assembly {
      r.slot := slot
    }
  }

  /**
   * @dev Returns an `StringSlot` with member `value` located at `slot`.
   */
  function getStringSlot(bytes32 slot) internal pure returns (StringSlot storage r) {
    /// @solidity memory-safe-assembly
    assembly {
      r.slot := slot
    }
  }

  /**
   * @dev Returns an `StringSlot` representation of the string storage pointer `store`.
   */
  function getStringSlot(string storage store) internal pure returns (StringSlot storage r) {
    /// @solidity memory-safe-assembly
    assembly {
      r.slot := store.slot
    }
  }

  /**
   * @dev Returns an `BytesSlot` with member `value` located at `slot`.
   */
  function getBytesSlot(bytes32 slot) internal pure returns (BytesSlot storage r) {
    /// @solidity memory-safe-assembly
    assembly {
      r.slot := slot
    }
  }

  /**
   * @dev Returns an `BytesSlot` representation of the bytes storage pointer `store`.
   */
  function getBytesSlot(bytes storage store) internal pure returns (BytesSlot storage r) {
    /// @solidity memory-safe-assembly
    assembly {
      r.slot := store.slot
    }
  }
}

// node_modules/@openzeppelin-5/contracts/interfaces/draft-IERC6093.sol

// OpenZeppelin Contracts (last updated v5.0.0) (interfaces/draft-IERC6093.sol)

/**
 * @dev Standard ERC20 Errors
 * Interface of the https://eips.ethereum.org/EIPS/eip-6093[ERC-6093] custom errors for ERC20 tokens.
 */
interface IERC20Errors {
  /**
   * @dev Indicates an error related to the current `balance` of a `sender`. Used in transfers.
   * @param sender Address whose tokens are being transferred.
   * @param balance Current balance for the interacting account.
   * @param needed Minimum amount required to perform a transfer.
   */
  error ERC20InsufficientBalance(address sender, uint256 balance, uint256 needed);

  /**
   * @dev Indicates a failure with the token `sender`. Used in transfers.
   * @param sender Address whose tokens are being transferred.
   */
  error ERC20InvalidSender(address sender);

  /**
   * @dev Indicates a failure with the token `receiver`. Used in transfers.
   * @param receiver Address to which tokens are being transferred.
   */
  error ERC20InvalidReceiver(address receiver);

  /**
   * @dev Indicates a failure with the `spender`’s `allowance`. Used in transfers.
   * @param spender Address that may be allowed to operate on tokens without being their owner.
   * @param allowance Amount of tokens a `spender` is allowed to operate with.
   * @param needed Minimum amount required to perform a transfer.
   */
  error ERC20InsufficientAllowance(address spender, uint256 allowance, uint256 needed);

  /**
   * @dev Indicates a failure with the `approver` of a token to be approved. Used in approvals.
   * @param approver Address initiating an approval operation.
   */
  error ERC20InvalidApprover(address approver);

  /**
   * @dev Indicates a failure with the `spender` to be approved. Used in approvals.
   * @param spender Address that may be allowed to operate on tokens without being their owner.
   */
  error ERC20InvalidSpender(address spender);
}

/**
 * @dev Standard ERC721 Errors
 * Interface of the https://eips.ethereum.org/EIPS/eip-6093[ERC-6093] custom errors for ERC721 tokens.
 */
interface IERC721Errors {
  /**
   * @dev Indicates that an address can't be an owner. For example, `address(0)` is a forbidden owner in EIP-20.
   * Used in balance queries.
   * @param owner Address of the current owner of a token.
   */
  error ERC721InvalidOwner(address owner);

  /**
   * @dev Indicates a `tokenId` whose `owner` is the zero address.
   * @param tokenId Identifier number of a token.
   */
  error ERC721NonexistentToken(uint256 tokenId);

  /**
   * @dev Indicates an error related to the ownership over a particular token. Used in transfers.
   * @param sender Address whose tokens are being transferred.
   * @param tokenId Identifier number of a token.
   * @param owner Address of the current owner of a token.
   */
  error ERC721IncorrectOwner(address sender, uint256 tokenId, address owner);

  /**
   * @dev Indicates a failure with the token `sender`. Used in transfers.
   * @param sender Address whose tokens are being transferred.
   */
  error ERC721InvalidSender(address sender);

  /**
   * @dev Indicates a failure with the token `receiver`. Used in transfers.
   * @param receiver Address to which tokens are being transferred.
   */
  error ERC721InvalidReceiver(address receiver);

  /**
   * @dev Indicates a failure with the `operator`’s approval. Used in transfers.
   * @param operator Address that may be allowed to operate on tokens without being their owner.
   * @param tokenId Identifier number of a token.
   */
  error ERC721InsufficientApproval(address operator, uint256 tokenId);

  /**
   * @dev Indicates a failure with the `approver` of a token to be approved. Used in approvals.
   * @param approver Address initiating an approval operation.
   */
  error ERC721InvalidApprover(address approver);

  /**
   * @dev Indicates a failure with the `operator` to be approved. Used in approvals.
   * @param operator Address that may be allowed to operate on tokens without being their owner.
   */
  error ERC721InvalidOperator(address operator);
}

/**
 * @dev Standard ERC1155 Errors
 * Interface of the https://eips.ethereum.org/EIPS/eip-6093[ERC-6093] custom errors for ERC1155 tokens.
 */
interface IERC1155Errors {
  /**
   * @dev Indicates an error related to the current `balance` of a `sender`. Used in transfers.
   * @param sender Address whose tokens are being transferred.
   * @param balance Current balance for the interacting account.
   * @param needed Minimum amount required to perform a transfer.
   * @param tokenId Identifier number of a token.
   */
  error ERC1155InsufficientBalance(address sender, uint256 balance, uint256 needed, uint256 tokenId);

  /**
   * @dev Indicates a failure with the token `sender`. Used in transfers.
   * @param sender Address whose tokens are being transferred.
   */
  error ERC1155InvalidSender(address sender);

  /**
   * @dev Indicates a failure with the token `receiver`. Used in transfers.
   * @param receiver Address to which tokens are being transferred.
   */
  error ERC1155InvalidReceiver(address receiver);

  /**
   * @dev Indicates a failure with the `operator`’s approval. Used in transfers.
   * @param operator Address that may be allowed to operate on tokens without being their owner.
   * @param owner Address of the current owner of a token.
   */
  error ERC1155MissingApprovalForAll(address operator, address owner);

  /**
   * @dev Indicates a failure with the `approver` of a token to be approved. Used in approvals.
   * @param approver Address initiating an approval operation.
   */
  error ERC1155InvalidApprover(address approver);

  /**
   * @dev Indicates a failure with the `operator` to be approved. Used in approvals.
   * @param operator Address that may be allowed to operate on tokens without being their owner.
   */
  error ERC1155InvalidOperator(address operator);

  /**
   * @dev Indicates an array length mismatch between ids and values in a safeBatchTransferFrom operation.
   * Used in batch transfers.
   * @param idsLength Length of the array of token identifiers
   * @param valuesLength Length of the array of token amounts
   */
  error ERC1155InvalidArrayLength(uint256 idsLength, uint256 valuesLength);
}

// node_modules/@openzeppelin-5/contracts/token/ERC20/extensions/IERC20Metadata.sol

// OpenZeppelin Contracts (last updated v5.0.0) (token/ERC20/extensions/IERC20Metadata.sol)

/**
 * @dev Interface for the optional metadata functions from the ERC20 standard.
 */
interface IERC20Metadata is IERC20 {
  /**
   * @dev Returns the name of the token.
   */
  function name() external view returns (string memory);

  /**
   * @dev Returns the symbol of the token.
   */
  function symbol() external view returns (string memory);

  /**
   * @dev Returns the decimals places of the token.
   */
  function decimals() external view returns (uint8);
}

// lib/optimism/packages/contracts-bedrock/src/universal/IOptimismMintableERC20.sol

/// @title IOptimismMintableERC20
/// @notice This interface is available on the OptimismMintableERC20 contract.
///         We declare it as a separate interface so that it can be used in
///         custom implementations of OptimismMintableERC20.
interface IOptimismMintableERC20 is IERC165_0 {
  function remoteToken() external view returns (address);

  function bridge() external returns (address);

  function mint(address _to, uint256 _amount) external;

  function burn(address _from, uint256 _amount) external;
}

/// @custom:legacy
/// @title ILegacyMintableERC20
/// @notice This interface was available on the legacy L2StandardERC20 contract.
///         It remains available on the OptimismMintableERC20 contract for
///         backwards compatibility.
interface ILegacyMintableERC20 is IERC165_0 {
  function l1Token() external view returns (address);

  function mint(address _to, uint256 _amount) external;

  function burn(address _from, uint256 _amount) external;
}

// node_modules/@openzeppelin-5/contracts/utils/ShortStrings.sol

// OpenZeppelin Contracts (last updated v5.0.0) (utils/ShortStrings.sol)

// | string  | 0xAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA   |
// | length  | 0x                                                              BB |
type ShortString is bytes32;

/**
 * @dev This library provides functions to convert short memory strings
 * into a `ShortString` type that can be used as an immutable variable.
 *
 * Strings of arbitrary length can be optimized using this library if
 * they are short enough (up to 31 bytes) by packing them with their
 * length (1 byte) in a single EVM word (32 bytes). Additionally, a
 * fallback mechanism can be used for every other case.
 *
 * Usage example:
 *
 * ```solidity
 * contract Named {
 *     using ShortStrings for *;
 *
 *     ShortString private immutable _name;
 *     string private _nameFallback;
 *
 *     constructor(string memory contractName) {
 *         _name = contractName.toShortStringWithFallback(_nameFallback);
 *     }
 *
 *     function name() external view returns (string memory) {
 *         return _name.toStringWithFallback(_nameFallback);
 *     }
 * }
 * ```
 */
library ShortStrings {
  // Used as an identifier for strings longer than 31 bytes.
  bytes32 private constant FALLBACK_SENTINEL = 0x00000000000000000000000000000000000000000000000000000000000000FF;

  error StringTooLong(string str);
  error InvalidShortString();

  /**
   * @dev Encode a string of at most 31 chars into a `ShortString`.
   *
   * This will trigger a `StringTooLong` error is the input string is too long.
   */
  function toShortString(string memory str) internal pure returns (ShortString) {
    bytes memory bstr = bytes(str);
    if (bstr.length > 31) {
      revert StringTooLong(str);
    }
    return ShortString.wrap(bytes32(uint256(bytes32(bstr)) | bstr.length));
  }

  /**
   * @dev Decode a `ShortString` back to a "normal" string.
   */
  function toString(ShortString sstr) internal pure returns (string memory) {
    uint256 len = byteLength(sstr);
    // using `new string(len)` would work locally but is not memory safe.
    string memory str = new string(32);
    /// @solidity memory-safe-assembly
    assembly {
      mstore(str, len)
      mstore(add(str, 0x20), sstr)
    }
    return str;
  }

  /**
   * @dev Return the length of a `ShortString`.
   */
  function byteLength(ShortString sstr) internal pure returns (uint256) {
    uint256 result = uint256(ShortString.unwrap(sstr)) & 0xFF;
    if (result > 31) {
      revert InvalidShortString();
    }
    return result;
  }

  /**
   * @dev Encode a string into a `ShortString`, or write it to storage if it is too long.
   */
  function toShortStringWithFallback(string memory value, string storage store) internal returns (ShortString) {
    if (bytes(value).length < 32) {
      return toShortString(value);
    } else {
      StorageSlot.getStringSlot(store).value = value;
      return ShortString.wrap(FALLBACK_SENTINEL);
    }
  }

  /**
   * @dev Decode a string that was encoded to `ShortString` or written to storage using {setWithFallback}.
   */
  function toStringWithFallback(ShortString value, string storage store) internal pure returns (string memory) {
    if (ShortString.unwrap(value) != FALLBACK_SENTINEL) {
      return toString(value);
    } else {
      return store;
    }
  }

  /**
   * @dev Return the length of a string that was encoded to `ShortString` or written to storage using
   * {setWithFallback}.
   *
   * WARNING: This will return the "byte length" of the string. This may not reflect the actual length in terms of
   * actual characters as the UTF-8 encoding of a single character can span over multiple bytes.
   */
  function byteLengthWithFallback(ShortString value, string storage store) internal view returns (uint256) {
    if (ShortString.unwrap(value) != FALLBACK_SENTINEL) {
      return byteLength(value);
    } else {
      return bytes(store).length;
    }
  }
}

// node_modules/@openzeppelin-5/contracts/utils/Strings.sol

// OpenZeppelin Contracts (last updated v5.0.0) (utils/Strings.sol)

/**
 * @dev String operations.
 */
library Strings {
  bytes16 private constant HEX_DIGITS = "0123456789abcdef";
  uint8 private constant ADDRESS_LENGTH = 20;

  /**
   * @dev The `value` string doesn't fit in the specified `length`.
   */
  error StringsInsufficientHexLength(uint256 value, uint256 length);

  /**
   * @dev Converts a `uint256` to its ASCII `string` decimal representation.
   */
  function toString(uint256 value) internal pure returns (string memory) {
    unchecked {
      uint256 length = Math.log10(value) + 1;
      string memory buffer = new string(length);
      uint256 ptr;
      /// @solidity memory-safe-assembly
      assembly {
        ptr := add(buffer, add(32, length))
      }
      while (true) {
        ptr--;
        /// @solidity memory-safe-assembly
        assembly {
          mstore8(ptr, byte(mod(value, 10), HEX_DIGITS))
        }
        value /= 10;
        if (value == 0) break;
      }
      return buffer;
    }
  }

  /**
   * @dev Converts a `int256` to its ASCII `string` decimal representation.
   */
  function toStringSigned(int256 value) internal pure returns (string memory) {
    return string.concat(value < 0 ? "-" : "", toString(SignedMath.abs(value)));
  }

  /**
   * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation.
   */
  function toHexString(uint256 value) internal pure returns (string memory) {
    unchecked {
      return toHexString(value, Math.log256(value) + 1);
    }
  }

  /**
   * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation with fixed length.
   */
  function toHexString(uint256 value, uint256 length) internal pure returns (string memory) {
    uint256 localValue = value;
    bytes memory buffer = new bytes(2 * length + 2);
    buffer[0] = "0";
    buffer[1] = "x";
    for (uint256 i = 2 * length + 1; i > 1; --i) {
      buffer[i] = HEX_DIGITS[localValue & 0xf];
      localValue >>= 4;
    }
    if (localValue != 0) {
      revert StringsInsufficientHexLength(value, length);
    }
    return string(buffer);
  }

  /**
   * @dev Converts an `address` with fixed length of 20 bytes to its not checksummed ASCII `string` hexadecimal
   * representation.
   */
  function toHexString(address addr) internal pure returns (string memory) {
    return toHexString(uint256(uint160(addr)), ADDRESS_LENGTH);
  }

  /**
   * @dev Returns true if the two strings are equal.
   */
  function equal(string memory a, string memory b) internal pure returns (bool) {
    return bytes(a).length == bytes(b).length && keccak256(bytes(a)) == keccak256(bytes(b));
  }
}

// node_modules/@openzeppelin-5/contracts/utils/cryptography/MessageHashUtils.sol

// OpenZeppelin Contracts (last updated v5.0.0) (utils/cryptography/MessageHashUtils.sol)

/**
 * @dev Signature message hash utilities for producing digests to be consumed by {ECDSA} recovery or signing.
 *
 * The library provides methods for generating a hash of a message that conforms to the
 * https://eips.ethereum.org/EIPS/eip-191[EIP 191] and https://eips.ethereum.org/EIPS/eip-712[EIP 712]
 * specifications.
 */
library MessageHashUtils {
  /**
   * @dev Returns the keccak256 digest of an EIP-191 signed data with version
   * `0x45` (`personal_sign` messages).
   *
   * The digest is calculated by prefixing a bytes32 `messageHash` with
   * `"\x19Ethereum Signed Message:\n32"` and hashing the result. It corresponds with the
   * hash signed when using the https://eth.wiki/json-rpc/API#eth_sign[`eth_sign`] JSON-RPC method.
   *
   * NOTE: The `messageHash` parameter is intended to be the result of hashing a raw message with
   * keccak256, although any bytes32 value can be safely used because the final digest will
   * be re-hashed.
   *
   * See {ECDSA-recover}.
   */
  function toEthSignedMessageHash(bytes32 messageHash) internal pure returns (bytes32 digest) {
    /// @solidity memory-safe-assembly
    assembly {
      mstore(0x00, "\x19Ethereum Signed Message:\n32") // 32 is the bytes-length of messageHash
      mstore(0x1c, messageHash) // 0x1c (28) is the length of the prefix
      digest := keccak256(0x00, 0x3c) // 0x3c is the length of the prefix (0x1c) + messageHash (0x20)
    }
  }

  /**
   * @dev Returns the keccak256 digest of an EIP-191 signed data with version
   * `0x45` (`personal_sign` messages).
   *
   * The digest is calculated by prefixing an arbitrary `message` with
   * `"\x19Ethereum Signed Message:\n" + 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:\n", bytes(Strings.toString(message.length)), message));
  }

  /**
   * @dev Returns the keccak256 digest of an EIP-191 signed data with version
   * `0x00` (data with intended validator).
   *
   * The digest is calculated by prefixing an arbitrary `data` with `"\x19\x00"` and the intended
   * `validator` address. Then hashing the result.
   *
   * See {ECDSA-recover}.
   */
  function toDataWithIntendedValidatorHash(address validator, bytes memory data) internal pure returns (bytes32) {
    return keccak256(abi.encodePacked(hex"19_00", validator, data));
  }

  /**
   * @dev Returns the keccak256 digest of an EIP-712 typed data (EIP-191 version `0x01`).
   *
   * The digest is calculated from a `domainSeparator` and a `structHash`, by prefixing them with
   * `\x19\x01` and hashing the result. It corresponds to the hash signed by the
   * https://eips.ethereum.org/EIPS/eip-712[`eth_signTypedData`] JSON-RPC method as part of EIP-712.
   *
   * See {ECDSA-recover}.
   */
  function toTypedDataHash(bytes32 domainSeparator, bytes32 structHash) internal pure returns (bytes32 digest) {
    /// @solidity memory-safe-assembly
    assembly {
      let ptr := mload(0x40)
      mstore(ptr, hex"19_01")
      mstore(add(ptr, 0x02), domainSeparator)
      mstore(add(ptr, 0x22), structHash)
      digest := keccak256(ptr, 0x42)
    }
  }
}

// node_modules/@openzeppelin-5/contracts/token/ERC20/ERC20.sol

// OpenZeppelin Contracts (last updated v5.0.0) (token/ERC20/ERC20.sol)

/**
 * @dev Implementation of the {IERC20} interface.
 *
 * This implementation is agnostic to the way tokens are created. This means
 * that a supply mechanism has to be added in a derived contract using {_mint}.
 *
 * TIP: For a detailed writeup see our guide
 * https://forum.openzeppelin.com/t/how-to-implement-erc20-supply-mechanisms/226[How
 * to implement supply mechanisms].
 *
 * The default value of {decimals} is 18. To change this, you should override
 * this function so it returns a different value.
 *
 * We have followed general OpenZeppelin Contracts guidelines: functions revert
 * instead returning `false` on failure. This behavior is nonetheless
 * conventional and does not conflict with the expectations of ERC20
 * applications.
 *
 * Additionally, an {Approval} event is emitted on calls to {transferFrom}.
 * This allows applications to reconstruct the allowance for all accounts just
 * by listening to said events. Other implementations of the EIP may not emit
 * these events, as it isn't required by the specification.
 */
abstract contract ERC20 is Context, IERC20, IERC20Metadata, IERC20Errors {
  mapping(address account => uint256) private _balances;

  mapping(address account => mapping(address spender => uint256)) private _allowances;

  uint256 private _totalSupply;

  string private _name;
  string private _symbol;

  /**
   * @dev Sets the values for {name} and {symbol}.
   *
   * All two of these values are immutable: they can only be set once during
   * construction.
   */
  constructor(string memory name_, string memory symbol_) {
    _name = name_;
    _symbol = symbol_;
  }

  /**
   * @dev Returns the name of the token.
   */
  function name() public view virtual returns (string memory) {
    return _name;
  }

  /**
   * @dev Returns the symbol of the token, usually a shorter version of the
   * name.
   */
  function symbol() public view virtual returns (string memory) {
    return _symbol;
  }

  /**
   * @dev Returns the number of decimals used to get its user representation.
   * For example, if `decimals` equals `2`, a balance of `505` tokens should
   * be displayed to a user as `5.05` (`505 / 10 ** 2`).
   *
   * Tokens usually opt for a value of 18, imitating the relationship between
   * Ether and Wei. This is the default value returned by this function, unless
   * it's overridden.
   *
   * NOTE: This information is only used for _display_ purposes: it in
   * no way affects any of the arithmetic of the contract, including
   * {IERC20-balanceOf} and {IERC20-transfer}.
   */
  function decimals() public view virtual returns (uint8) {
    return 18;
  }

  /**
   * @dev See {IERC20-totalSupply}.
   */
  function totalSupply() public view virtual returns (uint256) {
    return _totalSupply;
  }

  /**
   * @dev See {IERC20-balanceOf}.
   */
  function balanceOf(address account) public view virtual returns (uint256) {
    return _balances[account];
  }

  /**
   * @dev See {IERC20-transfer}.
   *
   * Requirements:
   *
   * - `to` cannot be the zero address.
   * - the caller must have a balance of at least `value`.
   */
  function transfer(address to, uint256 value) public virtual returns (bool) {
    address owner = _msgSender();
    _transfer(owner, to, value);
    return true;
  }

  /**
   * @dev See {IERC20-allowance}.
   */
  function allowance(address owner, address spender) public view virtual returns (uint256) {
    return _allowances[owner][spender];
  }

  /**
   * @dev See {IERC20-approve}.
   *
   * NOTE: If `value` is the maximum `uint256`, the allowance is not updated on
   * `transferFrom`. This is semantically equivalent to an infinite approval.
   *
   * Requirements:
   *
   * - `spender` cannot be the zero address.
   */
  function approve(address spender, uint256 value) public virtual returns (bool) {
    address owner = _msgSender();
    _approve(owner, spender, value);
    return true;
  }

  /**
   * @dev See {IERC20-transferFrom}.
   *
   * Emits an {Approval} event indicating the updated allowance. This is not
   * required by the EIP. See the note at the beginning of {ERC20}.
   *
   * NOTE: Does not update the allowance if the current allowance
   * is the maximum `uint256`.
   *
   * Requirements:
   *
   * - `from` and `to` cannot be the zero address.
   * - `from` must have a balance of at least `value`.
   * - the caller must have allowance for ``from``'s tokens of at least
   * `value`.
   */
  function transferFrom(address from, address to, uint256 value) public virtual returns (bool) {
    address spender = _msgSender();
    _spendAllowance(from, spender, value);
    _transfer(from, to, value);
    return true;
  }

  /**
   * @dev Moves a `value` amount of tokens from `from` to `to`.
   *
   * This internal function is equivalent to {transfer}, and can be used to
   * e.g. implement automatic token fees, slashing mechanisms, etc.
   *
   * Emits a {Transfer} event.
   *
   * NOTE: This function is not virtual, {_update} should be overridden instead.
   */
  function _transfer(address from, address to, uint256 value) internal {
    if (from == address(0)) {
      revert ERC20InvalidSender(address(0));
    }
    if (to == address(0)) {
      revert ERC20InvalidReceiver(address(0));
    }
    _update(from, to, value);
  }

  /**
   * @dev Transfers a `value` amount of tokens from `from` to `to`, or alternatively mints (or burns) if `from`
   * (or `to`) is the zero address. All customizations to transfers, mints, and burns should be done by overriding
   * this function.
   *
   * Emits a {Transfer} event.
   */
  function _update(address from, address to, uint256 value) internal virtual {
    if (from == address(0)) {
      // Overflow check required: The rest of the code assumes that totalSupply never overflows
      _totalSupply += value;
    } else {
      uint256 fromBalance = _balances[from];
      if (fromBalance < value) {
        revert ERC20InsufficientBalance(from, fromBalance, value);
      }
      unchecked {
        // Overflow not possible: value <= fromBalance <= totalSupply.
        _balances[from] = fromBalance - value;
      }
    }

    if (to == address(0)) {
      unchecked {
        // Overflow not possible: value <= totalSupply or value <= fromBalance <= totalSupply.
        _totalSupply -= value;
      }
    } else {
      unchecked {
        // Overflow not possible: balance + value is at most totalSupply, which we know fits into a uint256.
        _balances[to] += value;
      }
    }

    emit Transfer(from, to, value);
  }

  /**
   * @dev Creates a `value` amount of tokens and assigns them to `account`, by transferring it from address(0).
   * Relies on the `_update` mechanism
   *
   * Emits a {Transfer} event with `from` set to the zero address.
   *
   * NOTE: This function is not virtual, {_update} should be overridden instead.
   */
  function _mint(address account, uint256 value) internal {
    if (account == address(0)) {
      revert ERC20InvalidReceiver(address(0));
    }
    _update(address(0), account, value);
  }

  /**
   * @dev Destroys a `value` amount of tokens from `account`, lowering the total supply.
   * Relies on the `_update` mechanism.
   *
   * Emits a {Transfer} event with `to` set to the zero address.
   *
   * NOTE: This function is not virtual, {_update} should be overridden instead
   */
  function _burn(address account, uint256 value) internal {
    if (account == address(0)) {
      revert ERC20InvalidSender(address(0));
    }
    _update(account, address(0), value);
  }

  /**
   * @dev Sets `value` as the allowance of `spender` over the `owner` s tokens.
   *
   * This internal function is equivalent to `approve`, and can be used to
   * e.g. set automatic allowances for certain subsystems, etc.
   *
   * Emits an {Approval} event.
   *
   * Requirements:
   *
   * - `owner` cannot be the zero address.
   * - `spender` cannot be the zero address.
   *
   * Overrides to this logic should be done to the variant with an additional `bool emitEvent` argument.
   */
  function _approve(address owner, address spender, uint256 value) internal {
    _approve(owner, spender, value, true);
  }

  /**
   * @dev Variant of {_approve} with an optional flag to enable or disable the {Approval} event.
   *
   * By default (when calling {_approve}) the flag is set to true. On the other hand, approval changes made by
   * `_spendAllowance` during the `transferFrom` operation set the flag to false. This saves gas by not emitting any
   * `Approval` event during `transferFrom` operations.
   *
   * Anyone who wishes to continue emitting `Approval` events on the`transferFrom` operation can force the flag to
   * true using the following override:
   * ```
   * function _approve(address owner, address spender, uint256 value, bool) internal virtual override {
   *     super._approve(owner, spender, value, true);
   * }
   * ```
   *
   * Requirements are the same as {_approve}.
   */
  function _approve(address owner, address spender, uint256 value, bool emitEvent) internal virtual {
    if (owner == address(0)) {
      revert ERC20InvalidApprover(address(0));
    }
    if (spender == address(0)) {
      revert ERC20InvalidSpender(address(0));
    }
    _allowances[owner][spender] = value;
    if (emitEvent) {
      emit Approval(owner, spender, value);
    }
  }

  /**
   * @dev Updates `owner` s allowance for `spender` based on spent `value`.
   *
   * Does not update the allowance value in case of infinite allowance.
   * Revert if not enough allowance is available.
   *
   * Does not emit an {Approval} event.
   */
  function _spendAllowance(address owner, address spender, uint256 value) internal virtual {
    uint256 currentAllowance = allowance(owner, spender);
    if (currentAllowance != type(uint256).max) {
      if (currentAllowance < value) {
        revert ERC20InsufficientAllowance(spender, currentAllowance, value);
      }
      unchecked {
        _approve(owner, spender, currentAllowance - value, false);
      }
    }
  }
}

// node_modules/@openzeppelin-5/contracts/token/ERC20/extensions/ERC20Burnable.sol

// OpenZeppelin Contracts (last updated v5.0.0) (token/ERC20/extensions/ERC20Burnable.sol)

/**
 * @dev Extension of {ERC20} that allows token holders to destroy both their own
 * tokens and those that they have an allowance for, in a way that can be
 * recognized off-chain (via event analysis).
 */
abstract contract ERC20Burnable is Context, ERC20 {
  /**
   * @dev Destroys a `value` amount of tokens from the caller.
   *
   * See {ERC20-_burn}.
   */
  function burn(uint256 value) public virtual {
    _burn(_msgSender(), value);
  }

  /**
   * @dev Destroys a `value` amount of tokens from `account`, deducting from
   * the caller's allowance.
   *
   * See {ERC20-_burn} and {ERC20-allowance}.
   *
   * Requirements:
   *
   * - the caller must have allowance for ``accounts``'s tokens of at least
   * `value`.
   */
  function burnFrom(address account, uint256 value) public virtual {
    _spendAllowance(account, _msgSender(), value);
    _burn(account, value);
  }
}

// node_modules/@openzeppelin-5/contracts/utils/cryptography/EIP712.sol

// OpenZeppelin Contracts (last updated v5.0.0) (utils/cryptography/EIP712.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);
  }
}

// node_modules/@openzeppelin-5/contracts/token/ERC20/extensions/ERC20Permit.sol

// OpenZeppelin Contracts (last updated v5.0.0) (token/ERC20/extensions/ERC20Permit.sol)

/**
 * @dev Implementation of the ERC20 Permit extension allowing approvals to be made via signatures, as defined in
 * https://eips.ethereum.org/EIPS/eip-2612[EIP-2612].
 *
 * Adds the {permit} method, which can be used to change an account's ERC20 allowance (see {IERC20-allowance}) by
 * presenting a message signed by the account. By not relying on `{IERC20-approve}`, the token holder account doesn't
 * need to send a transaction, and thus is not required to hold Ether at all.
 */
abstract contract ERC20Permit is ERC20, IERC20Permit, EIP712, Nonces {
  bytes32 private constant PERMIT_TYPEHASH =
    keccak256("Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)");

  /**
   * @dev Permit deadline has expired.
   */
  error ERC2612ExpiredSignature(uint256 deadline);

  /**
   * @dev Mismatched signature.
   */
  error ERC2612InvalidSigner(address signer, address owner);

  /**
   * @dev Initializes the {EIP712} domain separator using the `name` parameter, and setting `version` to `"1"`.
   *
   * It's a good idea to use the same `name` that is defined as the ERC20 token name.
   */
  constructor(string memory name) EIP712(name, "1") {}

  /**
   * @inheritdoc IERC20Permit
   */
  function permit(
    address owner,
    address spender,
    uint256 value,
    uint256 deadline,
    uint8 v,
    bytes32 r,
    bytes32 s
  ) public virtual {
    if (block.timestamp > deadline) {
      revert ERC2612ExpiredSignature(deadline);
    }

    bytes32 structHash = keccak256(abi.encode(PERMIT_TYPEHASH, owner, spender, value, _useNonce(owner), deadline));

    bytes32 hash = _hashTypedDataV4(structHash);

    address signer = ECDSA.recover(hash, v, r, s);
    if (signer != owner) {
      revert ERC2612InvalidSigner(signer, owner);
    }

    _approve(owner, spender, value);
  }

  /**
   * @inheritdoc IERC20Permit
   */
  function nonces(address owner) public view virtual override(IERC20Permit, Nonces) returns (uint256) {
    return super.nonces(owner);
  }

  /**
   * @inheritdoc IERC20Permit
   */
  // solhint-disable-next-line func-name-mixedcase
  function DOMAIN_SEPARATOR() external view virtual returns (bytes32) {
    return _domainSeparatorV4();
  }
}

// src/contracts/L2/ERC20s/ERC20PermitPermissionedOptiMintable.sol

/// @title Parent contract for frxETH.sol, but also CrossChainCanonicalV2
/**
 * @notice Combines Openzeppelin's ERC20Permit and ERC20Burnable with Synthetix's Owned and Optimism's OptimismMintableERC20.
 *     Also includes a list of authorized minters
 */
/// @dev ERC20PermitPermissionedOptiMintable adheres to EIP-712/EIP-2612 and can use permits
contract ERC20PermitPermissionedOptiMintable is
  ERC20Permit,
  ERC20Burnable,
  OwnedV2,
  IOptimismMintableERC20,
  ILegacyMintableERC20,
  ISemver
{
  /// @custom:semver 1.0.0
  string public constant version = "1.0.0";

  /// @notice The timelock address
  address public timelock_address;

  /// @notice Address of the L2 StandardBridge on this network.
  address public immutable BRIDGE;

  /// @notice Address of the corresponding version of this token on the remote chain.
  address public immutable REMOTE_TOKEN;

  /// @notice Array of the non-bridge minters
  address[] public minters_array;

  /// @notice Mapping of the non-bridge minters
  /// @dev Mapping is used for faster verification
  mapping(address => bool) public minters;

  /* ========== CONSTRUCTOR ========== */

  /// @custom:semver 1.0.0
  /// @param _creator_address The contract creator
  /// @param _timelock_address The timelock
  /// @param _bridge Address of the L2 standard bridge
  /// @param _remoteToken Address of the corresponding L1 token
  /// @param _name ERC20 name
  /// @param _symbol ERC20 symbol
  constructor(
    address _creator_address,
    address _timelock_address,
    address _bridge,
    address _remoteToken,
    string memory _name,
    string memory _symbol
  ) ERC20(_name, _symbol) ERC20Permit(_name) OwnedV2(_creator_address) {
    REMOTE_TOKEN = _remoteToken;
    BRIDGE = _bridge;
    timelock_address = _timelock_address;
  }

  /* ========== MODIFIERS ========== */

  /// @notice A modifier that only allows the contract owner or the timelock to call
  modifier onlyByOwnGov() {
    require(msg.sender == timelock_address || msg.sender == owner, "Not owner or timelock");
    _;
  }

  /// @notice A modifier that only allows a non-bridge minter to call
  modifier onlyMinters() {
    require(minters[msg.sender] == true, "Only minters");
    _;
  }

  /// @notice A modifier that only allows the bridge to call
  modifier onlyBridge() {
    require(msg.sender == BRIDGE, "OptimismMintableERC20: only bridge can mint and burn");
    _;
  }

  /* ========== LEGACY VIEWS ========== */

  /// @custom:legacy
  /// @notice Legacy getter for the remote token. Use REMOTE_TOKEN going forward.
  /// @return address The L1 remote token address
  function l1Token() public view returns (address) {
    return REMOTE_TOKEN;
  }

  /// @custom:legacy
  /// @notice Legacy getter for the bridge. Use BRIDGE going forward.
  /// @return address The bridge address
  function l2Bridge() public view returns (address) {
    return BRIDGE;
  }

  /// @custom:legacy
  /// @notice Legacy getter for REMOTE_TOKEN
  /// @return address The L1 remote token address
  function remoteToken() public view returns (address) {
    return REMOTE_TOKEN;
  }

  /// @custom:legacy
  /// @notice Legacy getter for BRIDGE
  /// @return address The bridge address
  function bridge() public view returns (address) {
    return BRIDGE;
  }

  /// @notice ERC165 interface check function.
  /// @param _interfaceId Interface ID to check.
  /// @return Whether or not the interface is supported by this contract.
  function supportsInterface(bytes4 _interfaceId) external pure virtual returns (bool) {
    bytes4 iface1 = type(IERC165_1).interfaceId;
    // Interface corresponding to the legacy L2StandardERC20.
    bytes4 iface2 = type(ILegacyMintableERC20).interfaceId;
    // Interface corresponding to the updated OptimismMintableERC20 (this contract).
    bytes4 iface3 = type(IOptimismMintableERC20).interfaceId;
    return _interfaceId == iface1 || _interfaceId == iface2 || _interfaceId == iface3;
  }

  /* ========== RESTRICTED FUNCTIONS [BRIDGE] ========== */

  /// @notice Allows the StandardBridge on this network to mint tokens.
  /// @param _to     Address to mint tokens to.
  /// @param _amount Amount of tokens to mint.
  function mint(
    address _to,
    uint256 _amount
  ) external virtual override(IOptimismMintableERC20, ILegacyMintableERC20) onlyBridge {
    _mint(_to, _amount);
    emit Mint(_to, _amount);
  }

  /// @notice Allows the StandardBridge on this network to burn tokens.
  /// @param _from   Address to burn tokens from.
  /// @param _amount Amount of tokens to burn.
  function burn(
    address _from,
    uint256 _amount
  ) external virtual override(IOptimismMintableERC20, ILegacyMintableERC20) onlyBridge {
    _burn(_from, _amount);
    emit Burn(_from, _amount);
  }

  /* ========== RESTRICTED FUNCTIONS [NON-BRIDGE MINTERS] ========== */

  /// @notice Used by non-bridge minters to burn tokens
  /// @param b_address Address of the account to burn from
  /// @param b_amount Amount of tokens to burn
  function minter_burn_from(address b_address, uint256 b_amount) public onlyMinters {
    super.burnFrom(b_address, b_amount);
    emit TokenMinterBurned(b_address, msg.sender, b_amount);
  }

  /// @notice Used by non-bridge minters to mint new tokens
  /// @param m_address Address of the account to mint to
  /// @param m_amount Amount of tokens to mint
  function minter_mint(address m_address, uint256 m_amount) public onlyMinters {
    super._mint(m_address, m_amount);
    emit TokenMinterMinted(msg.sender, m_address, m_amount);
  }

  /// @notice Adds a non-bridge minter
  /// @param minter_address Address of minter to add
  function addMinter(address minter_address) public onlyByOwnGov {
    require(minter_address != address(0), "Zero address detected");

    require(minters[minter_address] == false, "Address already exists");
    minters[minter_address] = true;
    minters_array.push(minter_address);

    emit MinterAdded(minter_address);
  }

  /// @notice Removes a non-bridge minter
  /// @param minter_address Address of minter to remove
  function removeMinter(address minter_address) public onlyByOwnGov {
    require(minter_address != address(0), "Zero address detected");
    require(minters[minter_address] == true, "Address nonexistant");

    // Delete from the mapping
    delete minters[minter_address];

    // 'Delete' from the array by setting the address to 0x0
    for (uint256 i = 0; i < minters_array.length; i++) {
      if (minters_array[i] == minter_address) {
        minters_array[i] = address(0); // This will leave a null in the array and keep the indices the same
        break;
      }
    }

    emit MinterRemoved(minter_address);
  }

  /* ========== RESTRICTED FUNCTIONS [ADMIN-RELATED] ========== */

  /// @notice Sets the timelock address
  /// @param _timelock_address Address of the timelock
  function setTimelock(address _timelock_address) public onlyByOwnGov {
    require(_timelock_address != address(0), "Zero address detected");
    timelock_address = _timelock_address;
    emit TimelockChanged(_timelock_address);
  }

  /* ========== EVENTS ========== */

  /// @notice Emitted whenever the bridge burns tokens from an account
  /// @param account Address of the account tokens are being burned from
  /// @param amount  Amount of tokens burned
  event Burn(address indexed account, uint256 amount);

  /// @notice Emitted whenever the bridge mints tokens to an account
  /// @param account Address of the account tokens are being minted for
  /// @param amount  Amount of tokens minted.
  event Mint(address indexed account, uint256 amount);

  /// @notice Emitted when a non-bridge minter is added
  /// @param minter_address Address of the new minter
  event MinterAdded(address minter_address);

  /// @notice Emitted when a non-bridge minter is removed
  /// @param minter_address Address of the removed minter
  event MinterRemoved(address minter_address);

  /// @notice Emitted when the timelock address changes
  /// @param timelock_address Address of the removed timelock
  event TimelockChanged(address timelock_address);

  /// @notice Emitted when a non-bridge minter burns tokens
  /// @param from The account whose tokens are burned
  /// @param to The minter doing the burning
  /// @param amount Amount of tokens burned
  event TokenMinterBurned(address indexed from, address indexed to, uint256 amount);

  /// @notice Emitted when a non-bridge minter mints tokens
  /// @param from The minter doing the minting
  /// @param to The account that gets the newly minted tokens
  /// @param amount Amount of tokens minted
  event TokenMinterMinted(address indexed from, address indexed to, uint256 amount);
}

// src/contracts/L2/ERC20s/frxUSD.sol

contract FrxUSD is ERC20PermitPermissionedOptiMintable {
  /// @notice Mapping indicating which addresses are frozen
  mapping(address => bool) public isFrozen;

  /// @notice Whether or not the contract is paused
  bool public isPaused;

  /// @param _creator_address The contract creator
  /// @param _timelock_address The timelock
  /// @param _bridge Address of the L2 standard bridge
  /// @param _remoteToken Address of the corresponding L1 token
  constructor(
    address _creator_address,
    address _timelock_address,
    address _bridge,
    address _remoteToken
  )
    ERC20PermitPermissionedOptiMintable(
      _creator_address,
      _timelock_address,
      _bridge,
      _remoteToken,
      "Frax USD",
      "frxUSD"
    )
  {}

  /// @notice External admin gated function to unfreeze a set of accounts
  /// @param _owners Array of accounts to be unfrozen
  function thawMany(address[] memory _owners) external onlyOwner {
    uint256 len = _owners.length;
    for (uint256 i; i < len; ++i) {
      _thaw(_owners[i]);
    }
  }

  /// @notice External admin gated function to unfreeze an account
  /// @param _owner The account to be unfrozen
  function thaw(address _owner) external onlyOwner {
    _thaw(_owner);
  }

  /// @notice External admin gated function to batch freeze a set of accounts
  /// @param _owners Array of accounts to be frozen
  function freezeMany(address[] memory _owners) external onlyOwner {
    uint256 len = _owners.length;
    for (uint256 i; i < len; ++i) {
      _freeze(_owners[i]);
    }
  }

  /// @notice External admin gated function to freeze a given account
  /// @param _owner The account to be
  function freeze(address _owner) external onlyOwner {
    _freeze(_owner);
  }

  /// @notice External admin gated function to batch burn balance from a set of accounts
  /// @param _owners Array of accounts whose balances will be burned
  /// @param _amounts Array of amounts corresponding to the balances to be burned
  /// @dev if `_amount` == 0, entire balance will be burned
  function burnMany(address[] memory _owners, uint256[] memory _amounts) external onlyOwner {
    uint lenOwner = _owners.length;
    if (_owners.length != _amounts.length) revert ArrayMisMatch();
    for (uint i; i < lenOwner; ++i) {
      if (_amounts[i] == 0) _amounts[i] = balanceOf(_owners[i]);
      _burn(_owners[i], _amounts[i]);
    }
  }

  /// @notice External admin gated function to burn balance from a given account
  /// @param _owner  The account whose balance will be burned
  /// @param _amount The amount of balance to burn
  /// @dev if `_amount` == 0, entire balance will be burned
  function burnFrxUsd(address _owner, uint256 _amount) external onlyOwner {
    if (_amount == 0) _amount = balanceOf(_owner);
    _burn(_owner, _amount);
  }

  /// @notice External admin gated pause function
  function pause() external onlyOwner {
    isPaused = true;
    emit Paused();
  }

  /// @notice External admin gated unpause function
  function unpause() external onlyOwner {
    isPaused = false;
    emit Unpaused();
  }

  /* ========== Internals For Admin Gated ========== */

  /// @notice Internal helper function to freeze an account
  /// @param _owner The account to 'frozen'
  function _freeze(address _owner) internal {
    isFrozen[_owner] = true;
    emit AccountFrozen(_owner);
  }

  /// @notice Internal helper function to unfreeze an account
  /// @param _owner The account to unfreeze
  function _thaw(address _owner) internal {
    isFrozen[_owner] = false;
    emit AccountThawed(_owner);
  }

  /* ========== Overrides ========== */

  /// @notice override for base internal `_update(address,address,uint256)`
  ///         implements `paused` and `frozen` transfer logic
  /// @param from  The address from which balance is originating
  /// @param to    The address whose balance will be incremented
  /// @param value The amount to increment/decrement the balances of
  /// @dev Owner can bypass pause and freeze checks
  function _update(address from, address to, uint256 value) internal override {
    if (msg.sender != owner) {
      if (isPaused) revert IsPaused();
      if (isFrozen[to] || isFrozen[from] || isFrozen[msg.sender]) revert IsFrozen();
    }
    super._update(from, to, value);
  }

  /* ========== EVENTS ========== */
  /// @notice Event Emitted when the contract is paused
  event Paused();

  /// @notice Event Emitted when the contract is unpaused
  event Unpaused();

  /// @notice Event Emitted when an address is frozen
  /// @param account The account being frozen
  event AccountFrozen(address account);

  /// @notice Event Emitted when an address is unfrozen
  /// @param account The account being thawed
  event AccountThawed(address account);

  /* ========== ERRORS ========== */
  error ArrayMisMatch();
  error IsPaused();
  error IsFrozen();
}

{
  "remappings": [
    "frax-std/=node_modules/frax-standard-solidity/src/",
    "forge-std/=node_modules/forge-std/src/",
    "ds-test/=node_modules/ds-test/src/",
    "@openzeppelin/=node_modules/@openzeppelin/",
    "@uniswap/=node_modules/@uniswap/",
    "frax-standard-solidity/=node_modules/frax-standard-solidity/"
  ],
  "optimizer": {
    "enabled": true,
    "runs": 777777
  },
  "metadata": {
    "useLiteralContent": false,
    "bytecodeHash": "none",
    "appendCBOR": false
  },
  "outputSelection": {
    "*": {
      "*": [
        "evm.bytecode",
        "evm.deployedBytecode",
        "devdoc",
        "userdoc",
        "metadata",
        "abi"
      ]
    }
  },
  "evmVersion": "prague",
  "viaIR": false,
  "libraries": {}
}

• No Contract Security Audit Submitted- Submit Audit Here

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000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000010000000000000000000000004200000000000000000000000000000000000010000000000000000000000000cacd6fd266af91b8aed52accc382b4e165586e29

-----Decoded View---------------
Arg [0] : _creator_address (address): 0x0000000000000000000000000000000000000001
Arg [1] : _timelock_address (address): 0x0000000000000000000000000000000000000001
Arg [2] : _bridge (address): 0x4200000000000000000000000000000000000010
Arg [3] : _remoteToken (address): 0xCAcd6fd266aF91b8AeD52aCCc382b4e165586E29

-----Encoded View---------------
4 Constructor Arguments found :
Arg [0] : 0000000000000000000000000000000000000000000000000000000000000001
Arg [1] : 0000000000000000000000000000000000000000000000000000000000000001
Arg [2] : 0000000000000000000000004200000000000000000000000000000000000010
Arg [3] : 000000000000000000000000cacd6fd266af91b8aed52accc382b4e165586e29