// SPDX-License-Identifier: UNLICENSED
pragma solidity =0.8.23 ^0.8.20;

// lib/openzeppelin-contracts/contracts/access/manager/IAccessManaged.sol

// OpenZeppelin Contracts (last updated v5.0.0) (access/manager/IAccessManaged.sol)

interface IAccessManaged {
    /**
     * @dev Authority that manages this contract was updated.
     */
    event AuthorityUpdated(address authority);

    error AccessManagedUnauthorized(address caller);
    error AccessManagedRequiredDelay(address caller, uint32 delay);
    error AccessManagedInvalidAuthority(address authority);

    /**
     * @dev Returns the current authority.
     */
    function authority() external view returns (address);

    /**
     * @dev Transfers control to a new authority. The caller must be the current authority.
     */
    function setAuthority(address) external;

    /**
     * @dev Returns true only in the context of a delayed restricted call, at the moment that the scheduled operation is
     * being consumed. Prevents denial of service for delayed restricted calls in the case that the contract performs
     * attacker controlled calls.
     */
    function isConsumingScheduledOp() external view returns (bytes4);
}

// lib/openzeppelin-contracts/contracts/access/manager/IAuthority.sol

// OpenZeppelin Contracts (last updated v5.0.0) (access/manager/IAuthority.sol)

/**
 * @dev Standard interface for permissioning originally defined in Dappsys.
 */
interface IAuthority {
    /**
     * @dev Returns true if the caller can invoke on a target the function identified by a function selector.
     */
    function canCall(address caller, address target, bytes4 selector) external view returns (bool allowed);
}

// lib/openzeppelin-contracts/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);
}

// lib/openzeppelin-contracts/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);
}

// lib/openzeppelin-contracts/contracts/utils/Address.sol

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

/**
 * @dev Collection of functions related to the address type
 */
library Address {
    /**
     * @dev The ETH balance of the account is not enough to perform the operation.
     */
    error AddressInsufficientBalance(address account);

    /**
     * @dev There's no code at `target` (it is not a contract).
     */
    error AddressEmptyCode(address target);

    /**
     * @dev A call to an address target failed. The target may have reverted.
     */
    error FailedInnerCall();

    /**
     * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
     * `recipient`, forwarding all available gas and reverting on errors.
     *
     * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
     * of certain opcodes, possibly making contracts go over the 2300 gas limit
     * imposed by `transfer`, making them unable to receive funds via
     * `transfer`. {sendValue} removes this limitation.
     *
     * https://consensys.net/diligence/blog/2019/09/stop-using-soliditys-transfer-now/[Learn more].
     *
     * IMPORTANT: because control is transferred to `recipient`, care must be
     * taken to not create reentrancy vulnerabilities. Consider using
     * {ReentrancyGuard} or the
     * https://solidity.readthedocs.io/en/v0.8.20/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
     */
    function sendValue(address payable recipient, uint256 amount) internal {
        if (address(this).balance < amount) {
            revert AddressInsufficientBalance(address(this));
        }

        (bool success, ) = recipient.call{value: amount}("");
        if (!success) {
            revert FailedInnerCall();
        }
    }

    /**
     * @dev Performs a Solidity function call using a low level `call`. A
     * plain `call` is an unsafe replacement for a function call: use this
     * function instead.
     *
     * If `target` reverts with a revert reason or custom error, it is bubbled
     * up by this function (like regular Solidity function calls). However, if
     * the call reverted with no returned reason, this function reverts with a
     * {FailedInnerCall} error.
     *
     * Returns the raw returned data. To convert to the expected return value,
     * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
     *
     * Requirements:
     *
     * - `target` must be a contract.
     * - calling `target` with `data` must not revert.
     */
    function functionCall(address target, bytes memory data) internal returns (bytes memory) {
        return functionCallWithValue(target, data, 0);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but also transferring `value` wei to `target`.
     *
     * Requirements:
     *
     * - the calling contract must have an ETH balance of at least `value`.
     * - the called Solidity function must be `payable`.
     */
    function functionCallWithValue(address target, bytes memory data, uint256 value) internal returns (bytes memory) {
        if (address(this).balance < value) {
            revert AddressInsufficientBalance(address(this));
        }
        (bool success, bytes memory returndata) = target.call{value: value}(data);
        return verifyCallResultFromTarget(target, success, returndata);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but performing a static call.
     */
    function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
        (bool success, bytes memory returndata) = target.staticcall(data);
        return verifyCallResultFromTarget(target, success, returndata);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but performing a delegate call.
     */
    function functionDelegateCall(address target, bytes memory data) internal returns (bytes memory) {
        (bool success, bytes memory returndata) = target.delegatecall(data);
        return verifyCallResultFromTarget(target, success, returndata);
    }

    /**
     * @dev Tool to verify that a low level call to smart-contract was successful, and reverts if the target
     * was not a contract or bubbling up the revert reason (falling back to {FailedInnerCall}) in case of an
     * unsuccessful call.
     */
    function verifyCallResultFromTarget(
        address target,
        bool success,
        bytes memory returndata
    ) internal view returns (bytes memory) {
        if (!success) {
            _revert(returndata);
        } else {
            // only check if target is a contract if the call was successful and the return data is empty
            // otherwise we already know that it was a contract
            if (returndata.length == 0 && target.code.length == 0) {
                revert AddressEmptyCode(target);
            }
            return returndata;
        }
    }

    /**
     * @dev Tool to verify that a low level call was successful, and reverts if it wasn't, either by bubbling the
     * revert reason or with a default {FailedInnerCall} error.
     */
    function verifyCallResult(bool success, bytes memory returndata) internal pure returns (bytes memory) {
        if (!success) {
            _revert(returndata);
        } else {
            return returndata;
        }
    }

    /**
     * @dev Reverts with returndata if present. Otherwise reverts with {FailedInnerCall}.
     */
    function _revert(bytes memory returndata) private pure {
        // Look for revert reason and bubble it up if present
        if (returndata.length > 0) {
            // The easiest way to bubble the revert reason is using memory via assembly
            /// @solidity memory-safe-assembly
            assembly {
                let returndata_size := mload(returndata)
                revert(add(32, returndata), returndata_size)
            }
        } else {
            revert FailedInnerCall();
        }
    }
}

// lib/openzeppelin-contracts/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;
    }
}

// lib/openzeppelin-contracts/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;
    }
}

// lib/openzeppelin-contracts/contracts/utils/math/SafeCast.sol

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

/**
 * @dev Wrappers over Solidity's uintXX/intXX casting operators with added overflow
 * checks.
 *
 * Downcasting from uint256/int256 in Solidity does not revert on overflow. This can
 * easily result in undesired exploitation or bugs, since developers usually
 * assume that overflows raise errors. `SafeCast` restores this intuition by
 * reverting the transaction when such an operation overflows.
 *
 * Using this library instead of the unchecked operations eliminates an entire
 * class of bugs, so it's recommended to use it always.
 */
library SafeCast {
    /**
     * @dev Value doesn't fit in an uint of `bits` size.
     */
    error SafeCastOverflowedUintDowncast(uint8 bits, uint256 value);

    /**
     * @dev An int value doesn't fit in an uint of `bits` size.
     */
    error SafeCastOverflowedIntToUint(int256 value);

    /**
     * @dev Value doesn't fit in an int of `bits` size.
     */
    error SafeCastOverflowedIntDowncast(uint8 bits, int256 value);

    /**
     * @dev An uint value doesn't fit in an int of `bits` size.
     */
    error SafeCastOverflowedUintToInt(uint256 value);

    /**
     * @dev Returns the downcasted uint248 from uint256, reverting on
     * overflow (when the input is greater than largest uint248).
     *
     * Counterpart to Solidity's `uint248` operator.
     *
     * Requirements:
     *
     * - input must fit into 248 bits
     */
    function toUint248(uint256 value) internal pure returns (uint248) {
        if (value > type(uint248).max) {
            revert SafeCastOverflowedUintDowncast(248, value);
        }
        return uint248(value);
    }

    /**
     * @dev Returns the downcasted uint240 from uint256, reverting on
     * overflow (when the input is greater than largest uint240).
     *
     * Counterpart to Solidity's `uint240` operator.
     *
     * Requirements:
     *
     * - input must fit into 240 bits
     */
    function toUint240(uint256 value) internal pure returns (uint240) {
        if (value > type(uint240).max) {
            revert SafeCastOverflowedUintDowncast(240, value);
        }
        return uint240(value);
    }

    /**
     * @dev Returns the downcasted uint232 from uint256, reverting on
     * overflow (when the input is greater than largest uint232).
     *
     * Counterpart to Solidity's `uint232` operator.
     *
     * Requirements:
     *
     * - input must fit into 232 bits
     */
    function toUint232(uint256 value) internal pure returns (uint232) {
        if (value > type(uint232).max) {
            revert SafeCastOverflowedUintDowncast(232, value);
        }
        return uint232(value);
    }

    /**
     * @dev Returns the downcasted uint224 from uint256, reverting on
     * overflow (when the input is greater than largest uint224).
     *
     * Counterpart to Solidity's `uint224` operator.
     *
     * Requirements:
     *
     * - input must fit into 224 bits
     */
    function toUint224(uint256 value) internal pure returns (uint224) {
        if (value > type(uint224).max) {
            revert SafeCastOverflowedUintDowncast(224, value);
        }
        return uint224(value);
    }

    /**
     * @dev Returns the downcasted uint216 from uint256, reverting on
     * overflow (when the input is greater than largest uint216).
     *
     * Counterpart to Solidity's `uint216` operator.
     *
     * Requirements:
     *
     * - input must fit into 216 bits
     */
    function toUint216(uint256 value) internal pure returns (uint216) {
        if (value > type(uint216).max) {
            revert SafeCastOverflowedUintDowncast(216, value);
        }
        return uint216(value);
    }

    /**
     * @dev Returns the downcasted uint208 from uint256, reverting on
     * overflow (when the input is greater than largest uint208).
     *
     * Counterpart to Solidity's `uint208` operator.
     *
     * Requirements:
     *
     * - input must fit into 208 bits
     */
    function toUint208(uint256 value) internal pure returns (uint208) {
        if (value > type(uint208).max) {
            revert SafeCastOverflowedUintDowncast(208, value);
        }
        return uint208(value);
    }

    /**
     * @dev Returns the downcasted uint200 from uint256, reverting on
     * overflow (when the input is greater than largest uint200).
     *
     * Counterpart to Solidity's `uint200` operator.
     *
     * Requirements:
     *
     * - input must fit into 200 bits
     */
    function toUint200(uint256 value) internal pure returns (uint200) {
        if (value > type(uint200).max) {
            revert SafeCastOverflowedUintDowncast(200, value);
        }
        return uint200(value);
    }

    /**
     * @dev Returns the downcasted uint192 from uint256, reverting on
     * overflow (when the input is greater than largest uint192).
     *
     * Counterpart to Solidity's `uint192` operator.
     *
     * Requirements:
     *
     * - input must fit into 192 bits
     */
    function toUint192(uint256 value) internal pure returns (uint192) {
        if (value > type(uint192).max) {
            revert SafeCastOverflowedUintDowncast(192, value);
        }
        return uint192(value);
    }

    /**
     * @dev Returns the downcasted uint184 from uint256, reverting on
     * overflow (when the input is greater than largest uint184).
     *
     * Counterpart to Solidity's `uint184` operator.
     *
     * Requirements:
     *
     * - input must fit into 184 bits
     */
    function toUint184(uint256 value) internal pure returns (uint184) {
        if (value > type(uint184).max) {
            revert SafeCastOverflowedUintDowncast(184, value);
        }
        return uint184(value);
    }

    /**
     * @dev Returns the downcasted uint176 from uint256, reverting on
     * overflow (when the input is greater than largest uint176).
     *
     * Counterpart to Solidity's `uint176` operator.
     *
     * Requirements:
     *
     * - input must fit into 176 bits
     */
    function toUint176(uint256 value) internal pure returns (uint176) {
        if (value > type(uint176).max) {
            revert SafeCastOverflowedUintDowncast(176, value);
        }
        return uint176(value);
    }

    /**
     * @dev Returns the downcasted uint168 from uint256, reverting on
     * overflow (when the input is greater than largest uint168).
     *
     * Counterpart to Solidity's `uint168` operator.
     *
     * Requirements:
     *
     * - input must fit into 168 bits
     */
    function toUint168(uint256 value) internal pure returns (uint168) {
        if (value > type(uint168).max) {
            revert SafeCastOverflowedUintDowncast(168, value);
        }
        return uint168(value);
    }

    /**
     * @dev Returns the downcasted uint160 from uint256, reverting on
     * overflow (when the input is greater than largest uint160).
     *
     * Counterpart to Solidity's `uint160` operator.
     *
     * Requirements:
     *
     * - input must fit into 160 bits
     */
    function toUint160(uint256 value) internal pure returns (uint160) {
        if (value > type(uint160).max) {
            revert SafeCastOverflowedUintDowncast(160, value);
        }
        return uint160(value);
    }

    /**
     * @dev Returns the downcasted uint152 from uint256, reverting on
     * overflow (when the input is greater than largest uint152).
     *
     * Counterpart to Solidity's `uint152` operator.
     *
     * Requirements:
     *
     * - input must fit into 152 bits
     */
    function toUint152(uint256 value) internal pure returns (uint152) {
        if (value > type(uint152).max) {
            revert SafeCastOverflowedUintDowncast(152, value);
        }
        return uint152(value);
    }

    /**
     * @dev Returns the downcasted uint144 from uint256, reverting on
     * overflow (when the input is greater than largest uint144).
     *
     * Counterpart to Solidity's `uint144` operator.
     *
     * Requirements:
     *
     * - input must fit into 144 bits
     */
    function toUint144(uint256 value) internal pure returns (uint144) {
        if (value > type(uint144).max) {
            revert SafeCastOverflowedUintDowncast(144, value);
        }
        return uint144(value);
    }

    /**
     * @dev Returns the downcasted uint136 from uint256, reverting on
     * overflow (when the input is greater than largest uint136).
     *
     * Counterpart to Solidity's `uint136` operator.
     *
     * Requirements:
     *
     * - input must fit into 136 bits
     */
    function toUint136(uint256 value) internal pure returns (uint136) {
        if (value > type(uint136).max) {
            revert SafeCastOverflowedUintDowncast(136, value);
        }
        return uint136(value);
    }

    /**
     * @dev Returns the downcasted uint128 from uint256, reverting on
     * overflow (when the input is greater than largest uint128).
     *
     * Counterpart to Solidity's `uint128` operator.
     *
     * Requirements:
     *
     * - input must fit into 128 bits
     */
    function toUint128(uint256 value) internal pure returns (uint128) {
        if (value > type(uint128).max) {
            revert SafeCastOverflowedUintDowncast(128, value);
        }
        return uint128(value);
    }

    /**
     * @dev Returns the downcasted uint120 from uint256, reverting on
     * overflow (when the input is greater than largest uint120).
     *
     * Counterpart to Solidity's `uint120` operator.
     *
     * Requirements:
     *
     * - input must fit into 120 bits
     */
    function toUint120(uint256 value) internal pure returns (uint120) {
        if (value > type(uint120).max) {
            revert SafeCastOverflowedUintDowncast(120, value);
        }
        return uint120(value);
    }

    /**
     * @dev Returns the downcasted uint112 from uint256, reverting on
     * overflow (when the input is greater than largest uint112).
     *
     * Counterpart to Solidity's `uint112` operator.
     *
     * Requirements:
     *
     * - input must fit into 112 bits
     */
    function toUint112(uint256 value) internal pure returns (uint112) {
        if (value > type(uint112).max) {
            revert SafeCastOverflowedUintDowncast(112, value);
        }
        return uint112(value);
    }

    /**
     * @dev Returns the downcasted uint104 from uint256, reverting on
     * overflow (when the input is greater than largest uint104).
     *
     * Counterpart to Solidity's `uint104` operator.
     *
     * Requirements:
     *
     * - input must fit into 104 bits
     */
    function toUint104(uint256 value) internal pure returns (uint104) {
        if (value > type(uint104).max) {
            revert SafeCastOverflowedUintDowncast(104, value);
        }
        return uint104(value);
    }

    /**
     * @dev Returns the downcasted uint96 from uint256, reverting on
     * overflow (when the input is greater than largest uint96).
     *
     * Counterpart to Solidity's `uint96` operator.
     *
     * Requirements:
     *
     * - input must fit into 96 bits
     */
    function toUint96(uint256 value) internal pure returns (uint96) {
        if (value > type(uint96).max) {
            revert SafeCastOverflowedUintDowncast(96, value);
        }
        return uint96(value);
    }

    /**
     * @dev Returns the downcasted uint88 from uint256, reverting on
     * overflow (when the input is greater than largest uint88).
     *
     * Counterpart to Solidity's `uint88` operator.
     *
     * Requirements:
     *
     * - input must fit into 88 bits
     */
    function toUint88(uint256 value) internal pure returns (uint88) {
        if (value > type(uint88).max) {
            revert SafeCastOverflowedUintDowncast(88, value);
        }
        return uint88(value);
    }

    /**
     * @dev Returns the downcasted uint80 from uint256, reverting on
     * overflow (when the input is greater than largest uint80).
     *
     * Counterpart to Solidity's `uint80` operator.
     *
     * Requirements:
     *
     * - input must fit into 80 bits
     */
    function toUint80(uint256 value) internal pure returns (uint80) {
        if (value > type(uint80).max) {
            revert SafeCastOverflowedUintDowncast(80, value);
        }
        return uint80(value);
    }

    /**
     * @dev Returns the downcasted uint72 from uint256, reverting on
     * overflow (when the input is greater than largest uint72).
     *
     * Counterpart to Solidity's `uint72` operator.
     *
     * Requirements:
     *
     * - input must fit into 72 bits
     */
    function toUint72(uint256 value) internal pure returns (uint72) {
        if (value > type(uint72).max) {
            revert SafeCastOverflowedUintDowncast(72, value);
        }
        return uint72(value);
    }

    /**
     * @dev Returns the downcasted uint64 from uint256, reverting on
     * overflow (when the input is greater than largest uint64).
     *
     * Counterpart to Solidity's `uint64` operator.
     *
     * Requirements:
     *
     * - input must fit into 64 bits
     */
    function toUint64(uint256 value) internal pure returns (uint64) {
        if (value > type(uint64).max) {
            revert SafeCastOverflowedUintDowncast(64, value);
        }
        return uint64(value);
    }

    /**
     * @dev Returns the downcasted uint56 from uint256, reverting on
     * overflow (when the input is greater than largest uint56).
     *
     * Counterpart to Solidity's `uint56` operator.
     *
     * Requirements:
     *
     * - input must fit into 56 bits
     */
    function toUint56(uint256 value) internal pure returns (uint56) {
        if (value > type(uint56).max) {
            revert SafeCastOverflowedUintDowncast(56, value);
        }
        return uint56(value);
    }

    /**
     * @dev Returns the downcasted uint48 from uint256, reverting on
     * overflow (when the input is greater than largest uint48).
     *
     * Counterpart to Solidity's `uint48` operator.
     *
     * Requirements:
     *
     * - input must fit into 48 bits
     */
    function toUint48(uint256 value) internal pure returns (uint48) {
        if (value > type(uint48).max) {
            revert SafeCastOverflowedUintDowncast(48, value);
        }
        return uint48(value);
    }

    /**
     * @dev Returns the downcasted uint40 from uint256, reverting on
     * overflow (when the input is greater than largest uint40).
     *
     * Counterpart to Solidity's `uint40` operator.
     *
     * Requirements:
     *
     * - input must fit into 40 bits
     */
    function toUint40(uint256 value) internal pure returns (uint40) {
        if (value > type(uint40).max) {
            revert SafeCastOverflowedUintDowncast(40, value);
        }
        return uint40(value);
    }

    /**
     * @dev Returns the downcasted uint32 from uint256, reverting on
     * overflow (when the input is greater than largest uint32).
     *
     * Counterpart to Solidity's `uint32` operator.
     *
     * Requirements:
     *
     * - input must fit into 32 bits
     */
    function toUint32(uint256 value) internal pure returns (uint32) {
        if (value > type(uint32).max) {
            revert SafeCastOverflowedUintDowncast(32, value);
        }
        return uint32(value);
    }

    /**
     * @dev Returns the downcasted uint24 from uint256, reverting on
     * overflow (when the input is greater than largest uint24).
     *
     * Counterpart to Solidity's `uint24` operator.
     *
     * Requirements:
     *
     * - input must fit into 24 bits
     */
    function toUint24(uint256 value) internal pure returns (uint24) {
        if (value > type(uint24).max) {
            revert SafeCastOverflowedUintDowncast(24, value);
        }
        return uint24(value);
    }

    /**
     * @dev Returns the downcasted uint16 from uint256, reverting on
     * overflow (when the input is greater than largest uint16).
     *
     * Counterpart to Solidity's `uint16` operator.
     *
     * Requirements:
     *
     * - input must fit into 16 bits
     */
    function toUint16(uint256 value) internal pure returns (uint16) {
        if (value > type(uint16).max) {
            revert SafeCastOverflowedUintDowncast(16, value);
        }
        return uint16(value);
    }

    /**
     * @dev Returns the downcasted uint8 from uint256, reverting on
     * overflow (when the input is greater than largest uint8).
     *
     * Counterpart to Solidity's `uint8` operator.
     *
     * Requirements:
     *
     * - input must fit into 8 bits
     */
    function toUint8(uint256 value) internal pure returns (uint8) {
        if (value > type(uint8).max) {
            revert SafeCastOverflowedUintDowncast(8, value);
        }
        return uint8(value);
    }

    /**
     * @dev Converts a signed int256 into an unsigned uint256.
     *
     * Requirements:
     *
     * - input must be greater than or equal to 0.
     */
    function toUint256(int256 value) internal pure returns (uint256) {
        if (value < 0) {
            revert SafeCastOverflowedIntToUint(value);
        }
        return uint256(value);
    }

    /**
     * @dev Returns the downcasted int248 from int256, reverting on
     * overflow (when the input is less than smallest int248 or
     * greater than largest int248).
     *
     * Counterpart to Solidity's `int248` operator.
     *
     * Requirements:
     *
     * - input must fit into 248 bits
     */
    function toInt248(int256 value) internal pure returns (int248 downcasted) {
        downcasted = int248(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(248, value);
        }
    }

    /**
     * @dev Returns the downcasted int240 from int256, reverting on
     * overflow (when the input is less than smallest int240 or
     * greater than largest int240).
     *
     * Counterpart to Solidity's `int240` operator.
     *
     * Requirements:
     *
     * - input must fit into 240 bits
     */
    function toInt240(int256 value) internal pure returns (int240 downcasted) {
        downcasted = int240(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(240, value);
        }
    }

    /**
     * @dev Returns the downcasted int232 from int256, reverting on
     * overflow (when the input is less than smallest int232 or
     * greater than largest int232).
     *
     * Counterpart to Solidity's `int232` operator.
     *
     * Requirements:
     *
     * - input must fit into 232 bits
     */
    function toInt232(int256 value) internal pure returns (int232 downcasted) {
        downcasted = int232(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(232, value);
        }
    }

    /**
     * @dev Returns the downcasted int224 from int256, reverting on
     * overflow (when the input is less than smallest int224 or
     * greater than largest int224).
     *
     * Counterpart to Solidity's `int224` operator.
     *
     * Requirements:
     *
     * - input must fit into 224 bits
     */
    function toInt224(int256 value) internal pure returns (int224 downcasted) {
        downcasted = int224(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(224, value);
        }
    }

    /**
     * @dev Returns the downcasted int216 from int256, reverting on
     * overflow (when the input is less than smallest int216 or
     * greater than largest int216).
     *
     * Counterpart to Solidity's `int216` operator.
     *
     * Requirements:
     *
     * - input must fit into 216 bits
     */
    function toInt216(int256 value) internal pure returns (int216 downcasted) {
        downcasted = int216(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(216, value);
        }
    }

    /**
     * @dev Returns the downcasted int208 from int256, reverting on
     * overflow (when the input is less than smallest int208 or
     * greater than largest int208).
     *
     * Counterpart to Solidity's `int208` operator.
     *
     * Requirements:
     *
     * - input must fit into 208 bits
     */
    function toInt208(int256 value) internal pure returns (int208 downcasted) {
        downcasted = int208(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(208, value);
        }
    }

    /**
     * @dev Returns the downcasted int200 from int256, reverting on
     * overflow (when the input is less than smallest int200 or
     * greater than largest int200).
     *
     * Counterpart to Solidity's `int200` operator.
     *
     * Requirements:
     *
     * - input must fit into 200 bits
     */
    function toInt200(int256 value) internal pure returns (int200 downcasted) {
        downcasted = int200(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(200, value);
        }
    }

    /**
     * @dev Returns the downcasted int192 from int256, reverting on
     * overflow (when the input is less than smallest int192 or
     * greater than largest int192).
     *
     * Counterpart to Solidity's `int192` operator.
     *
     * Requirements:
     *
     * - input must fit into 192 bits
     */
    function toInt192(int256 value) internal pure returns (int192 downcasted) {
        downcasted = int192(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(192, value);
        }
    }

    /**
     * @dev Returns the downcasted int184 from int256, reverting on
     * overflow (when the input is less than smallest int184 or
     * greater than largest int184).
     *
     * Counterpart to Solidity's `int184` operator.
     *
     * Requirements:
     *
     * - input must fit into 184 bits
     */
    function toInt184(int256 value) internal pure returns (int184 downcasted) {
        downcasted = int184(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(184, value);
        }
    }

    /**
     * @dev Returns the downcasted int176 from int256, reverting on
     * overflow (when the input is less than smallest int176 or
     * greater than largest int176).
     *
     * Counterpart to Solidity's `int176` operator.
     *
     * Requirements:
     *
     * - input must fit into 176 bits
     */
    function toInt176(int256 value) internal pure returns (int176 downcasted) {
        downcasted = int176(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(176, value);
        }
    }

    /**
     * @dev Returns the downcasted int168 from int256, reverting on
     * overflow (when the input is less than smallest int168 or
     * greater than largest int168).
     *
     * Counterpart to Solidity's `int168` operator.
     *
     * Requirements:
     *
     * - input must fit into 168 bits
     */
    function toInt168(int256 value) internal pure returns (int168 downcasted) {
        downcasted = int168(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(168, value);
        }
    }

    /**
     * @dev Returns the downcasted int160 from int256, reverting on
     * overflow (when the input is less than smallest int160 or
     * greater than largest int160).
     *
     * Counterpart to Solidity's `int160` operator.
     *
     * Requirements:
     *
     * - input must fit into 160 bits
     */
    function toInt160(int256 value) internal pure returns (int160 downcasted) {
        downcasted = int160(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(160, value);
        }
    }

    /**
     * @dev Returns the downcasted int152 from int256, reverting on
     * overflow (when the input is less than smallest int152 or
     * greater than largest int152).
     *
     * Counterpart to Solidity's `int152` operator.
     *
     * Requirements:
     *
     * - input must fit into 152 bits
     */
    function toInt152(int256 value) internal pure returns (int152 downcasted) {
        downcasted = int152(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(152, value);
        }
    }

    /**
     * @dev Returns the downcasted int144 from int256, reverting on
     * overflow (when the input is less than smallest int144 or
     * greater than largest int144).
     *
     * Counterpart to Solidity's `int144` operator.
     *
     * Requirements:
     *
     * - input must fit into 144 bits
     */
    function toInt144(int256 value) internal pure returns (int144 downcasted) {
        downcasted = int144(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(144, value);
        }
    }

    /**
     * @dev Returns the downcasted int136 from int256, reverting on
     * overflow (when the input is less than smallest int136 or
     * greater than largest int136).
     *
     * Counterpart to Solidity's `int136` operator.
     *
     * Requirements:
     *
     * - input must fit into 136 bits
     */
    function toInt136(int256 value) internal pure returns (int136 downcasted) {
        downcasted = int136(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(136, value);
        }
    }

    /**
     * @dev Returns the downcasted int128 from int256, reverting on
     * overflow (when the input is less than smallest int128 or
     * greater than largest int128).
     *
     * Counterpart to Solidity's `int128` operator.
     *
     * Requirements:
     *
     * - input must fit into 128 bits
     */
    function toInt128(int256 value) internal pure returns (int128 downcasted) {
        downcasted = int128(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(128, value);
        }
    }

    /**
     * @dev Returns the downcasted int120 from int256, reverting on
     * overflow (when the input is less than smallest int120 or
     * greater than largest int120).
     *
     * Counterpart to Solidity's `int120` operator.
     *
     * Requirements:
     *
     * - input must fit into 120 bits
     */
    function toInt120(int256 value) internal pure returns (int120 downcasted) {
        downcasted = int120(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(120, value);
        }
    }

    /**
     * @dev Returns the downcasted int112 from int256, reverting on
     * overflow (when the input is less than smallest int112 or
     * greater than largest int112).
     *
     * Counterpart to Solidity's `int112` operator.
     *
     * Requirements:
     *
     * - input must fit into 112 bits
     */
    function toInt112(int256 value) internal pure returns (int112 downcasted) {
        downcasted = int112(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(112, value);
        }
    }

    /**
     * @dev Returns the downcasted int104 from int256, reverting on
     * overflow (when the input is less than smallest int104 or
     * greater than largest int104).
     *
     * Counterpart to Solidity's `int104` operator.
     *
     * Requirements:
     *
     * - input must fit into 104 bits
     */
    function toInt104(int256 value) internal pure returns (int104 downcasted) {
        downcasted = int104(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(104, value);
        }
    }

    /**
     * @dev Returns the downcasted int96 from int256, reverting on
     * overflow (when the input is less than smallest int96 or
     * greater than largest int96).
     *
     * Counterpart to Solidity's `int96` operator.
     *
     * Requirements:
     *
     * - input must fit into 96 bits
     */
    function toInt96(int256 value) internal pure returns (int96 downcasted) {
        downcasted = int96(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(96, value);
        }
    }

    /**
     * @dev Returns the downcasted int88 from int256, reverting on
     * overflow (when the input is less than smallest int88 or
     * greater than largest int88).
     *
     * Counterpart to Solidity's `int88` operator.
     *
     * Requirements:
     *
     * - input must fit into 88 bits
     */
    function toInt88(int256 value) internal pure returns (int88 downcasted) {
        downcasted = int88(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(88, value);
        }
    }

    /**
     * @dev Returns the downcasted int80 from int256, reverting on
     * overflow (when the input is less than smallest int80 or
     * greater than largest int80).
     *
     * Counterpart to Solidity's `int80` operator.
     *
     * Requirements:
     *
     * - input must fit into 80 bits
     */
    function toInt80(int256 value) internal pure returns (int80 downcasted) {
        downcasted = int80(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(80, value);
        }
    }

    /**
     * @dev Returns the downcasted int72 from int256, reverting on
     * overflow (when the input is less than smallest int72 or
     * greater than largest int72).
     *
     * Counterpart to Solidity's `int72` operator.
     *
     * Requirements:
     *
     * - input must fit into 72 bits
     */
    function toInt72(int256 value) internal pure returns (int72 downcasted) {
        downcasted = int72(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(72, value);
        }
    }

    /**
     * @dev Returns the downcasted int64 from int256, reverting on
     * overflow (when the input is less than smallest int64 or
     * greater than largest int64).
     *
     * Counterpart to Solidity's `int64` operator.
     *
     * Requirements:
     *
     * - input must fit into 64 bits
     */
    function toInt64(int256 value) internal pure returns (int64 downcasted) {
        downcasted = int64(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(64, value);
        }
    }

    /**
     * @dev Returns the downcasted int56 from int256, reverting on
     * overflow (when the input is less than smallest int56 or
     * greater than largest int56).
     *
     * Counterpart to Solidity's `int56` operator.
     *
     * Requirements:
     *
     * - input must fit into 56 bits
     */
    function toInt56(int256 value) internal pure returns (int56 downcasted) {
        downcasted = int56(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(56, value);
        }
    }

    /**
     * @dev Returns the downcasted int48 from int256, reverting on
     * overflow (when the input is less than smallest int48 or
     * greater than largest int48).
     *
     * Counterpart to Solidity's `int48` operator.
     *
     * Requirements:
     *
     * - input must fit into 48 bits
     */
    function toInt48(int256 value) internal pure returns (int48 downcasted) {
        downcasted = int48(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(48, value);
        }
    }

    /**
     * @dev Returns the downcasted int40 from int256, reverting on
     * overflow (when the input is less than smallest int40 or
     * greater than largest int40).
     *
     * Counterpart to Solidity's `int40` operator.
     *
     * Requirements:
     *
     * - input must fit into 40 bits
     */
    function toInt40(int256 value) internal pure returns (int40 downcasted) {
        downcasted = int40(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(40, value);
        }
    }

    /**
     * @dev Returns the downcasted int32 from int256, reverting on
     * overflow (when the input is less than smallest int32 or
     * greater than largest int32).
     *
     * Counterpart to Solidity's `int32` operator.
     *
     * Requirements:
     *
     * - input must fit into 32 bits
     */
    function toInt32(int256 value) internal pure returns (int32 downcasted) {
        downcasted = int32(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(32, value);
        }
    }

    /**
     * @dev Returns the downcasted int24 from int256, reverting on
     * overflow (when the input is less than smallest int24 or
     * greater than largest int24).
     *
     * Counterpart to Solidity's `int24` operator.
     *
     * Requirements:
     *
     * - input must fit into 24 bits
     */
    function toInt24(int256 value) internal pure returns (int24 downcasted) {
        downcasted = int24(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(24, value);
        }
    }

    /**
     * @dev Returns the downcasted int16 from int256, reverting on
     * overflow (when the input is less than smallest int16 or
     * greater than largest int16).
     *
     * Counterpart to Solidity's `int16` operator.
     *
     * Requirements:
     *
     * - input must fit into 16 bits
     */
    function toInt16(int256 value) internal pure returns (int16 downcasted) {
        downcasted = int16(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(16, value);
        }
    }

    /**
     * @dev Returns the downcasted int8 from int256, reverting on
     * overflow (when the input is less than smallest int8 or
     * greater than largest int8).
     *
     * Counterpart to Solidity's `int8` operator.
     *
     * Requirements:
     *
     * - input must fit into 8 bits
     */
    function toInt8(int256 value) internal pure returns (int8 downcasted) {
        downcasted = int8(value);
        if (downcasted != value) {
            revert SafeCastOverflowedIntDowncast(8, value);
        }
    }

    /**
     * @dev Converts an unsigned uint256 into a signed int256.
     *
     * Requirements:
     *
     * - input must be less than or equal to maxInt256.
     */
    function toInt256(uint256 value) internal pure returns (int256) {
        // Note: Unsafe cast below is okay because `type(int256).max` is guaranteed to be positive
        if (value > uint256(type(int256).max)) {
            revert SafeCastOverflowedUintToInt(value);
        }
        return int256(value);
    }
}

// src/interfaces/IXStrykeToken.sol

enum VestStatus {
    INACTIVE,
    ACTIVE,
    REDEEMED,
    CANCELLED
}

struct VestData {
    address account; // The account participating in the vesting (Owner of the vest).
    uint256 sykAmount; // SYK amount to be received upon vesting completion.
    uint256 xSykAmount; // xSYK amount being redeemed for SYK.
    uint256 maturity; // Timestamp when the vesting period ends.
    VestStatus status; // Current status of the vesting process.
}

struct RedeemSettings {
    uint256 minRatio; // Minimum conversion ratio from xSYK to SYK.
    uint256 maxRatio; // Maximum conversion ratio from xSYK to SYK.
    uint256 minDuration; // Minimum duration for vesting.
    uint256 maxDuration; // Maximum duration for vesting.
}

interface IXStrykeToken {
    /// @dev Emitted when incorrect ratio values are provided for redeem settings.
    error XStrykeToken_WrongRatioValues();

    /// @dev Emitted when incorrect duration values are provided for redeem settings.
    error XStrykeToken_WrongDurationValues();

    /// @dev Emitted when the provided amount for a transaction cannot be zero.
    error XStrykeToken_AmountZero();

    /// @dev Emitted when the provided duration for vesting is below the minimum allowed.
    error XStrykeToken_DurationTooLow();

    /// @dev Emitted when the provided address for whitelist is the xSYK address itself.
    error XStrykeToken_InvalidWhitelistAddress();

    /// @dev Emitted when someone tries to redeem before their vesting is completed.
    error XStrykeToken_VestingHasNotMatured();

    /// @dev Emitted when someone tries to redeem a non-active vesting.
    error XStrykeToken_VestingNotActive();

    /// @dev Emitted when a transfer of xSYK is happening between non-whitelisted accounts.
    error XStrykeToken_TransferNotAllowed();

    /// @dev Emitted when msg.sender is not the account owner of the vest
    error XStrykeToken_SenderNotOwner();

    /// @notice  Emitted when the excess receiver is updated.
    /// @param excessReceiver The new excess receiver address
    event ExcessReceiverUpdated(address excessReceiver);

    /// @notice Emitted when redeem settings are updated.
    /// @param redeemSettings The new redeem settings applied.
    event RedeemSettingsUpdated(RedeemSettings redeemSettings);

    /// @notice Emitted when an account's whitelist status is updated.
    /// @param account The account whose whitelist status is updated.
    /// @param add Boolean indicating whether the account was added to (true) or removed from (false) the whitelist.
    event WhitelistUpdated(address account, bool add);

    /// @notice Emitted when SYK tokens are converted to xSYK tokens.
    /// @param from The address of the account converting SYK to xSYK.
    /// @param to The address of the account receiving the xSYK tokens.
    /// @param amount The amount of SYK tokens being converted.
    event Converted(address indexed from, address to, uint256 amount);

    /// @notice Emitted when xSYK tokens are vested for SYK redemption.
    /// @param account The account initiating the vest.
    /// @param xSykAmount The amount of xSYK tokens vested.
    /// @param sykAmount The amount of SYK tokens to be received upon vest completion.
    /// @param duration The duration of the vest in seconds.
    /// @param vestIndex The vest index
    event Vested(address indexed account, uint256 xSykAmount, uint256 sykAmount, uint256 duration, uint256 vestIndex);

    /// @notice Emitted when vested xSYK tokens are redeemed for SYK.
    /// @param account The account redeeming the vested xSYK.
    /// @param xSykAmount The amount of xSYK tokens redeemed.
    /// @param sykAmount The amount of SYK tokens received in exchange.
    event Redeemed(address indexed account, uint256 xSykAmount, uint256 sykAmount);

    /// @notice Emitted when a vesting operation is cancelled.
    /// @param account The account cancelling the vest.
    /// @param vestIndex The index of the vesting operation being cancelled.
    /// @param xSykAmount The amount of xSYK associated with the cancelled vest.
    event VestCancelled(address indexed account, uint256 vestIndex, uint256 xSykAmount);

    /// @notice Converts SYK to xSYK
    /// @param _amount amount of SYK to convert to xSYK
    /// @param _to address of the receiving account
    function convert(uint256 _amount, address _to) external;

    /// @notice Vest xSYK to get back SYK
    /// @param _amount amount of xSYK to vest for getting back SYK
    /// @param _duration duration of the vesting
    function vest(uint256 _amount, uint256 _duration) external;

    /// @notice Redeem vested xSYK
    /// @param _vestIndex Index of the vest
    function redeem(uint256 _vestIndex) external;

    /// @notice Cancel a redeem vested xSYK
    /// @param _vestIndex Index of the vest
    function cancelVest(uint256 _vestIndex) external;
}

// src/interfaces/IXSykStaking.sol

interface IXSykStaking {
    /// @notice Emitted when a bridge adapter is added or removed.
    /// @param bridgeAdapter Address of the bridge adapter.
    /// @param add Indicates whether the bridge adapter was added (true) or removed (false).
    event BridgeAdapterUpdated(address bridgeAdapter, bool add);

    /// @notice Emitted when the xSYK reward conversion percentage is updated.
    /// @param xSykRewardPercentage The percentage of SYK rewards to be sent in xSYK
    event XSykRewardPercentageUpdated(uint256 xSykRewardPercentage);

    /// @dev Emitted when tokens are staked in the contract.
    /// @notice This event is fired whenever a user stakes tokens, indicating the amount staked.
    /// @param account The address of the account that staked tokens.
    /// @param amount The amount of tokens that were staked by the account.
    /// @param chainId The Chain ID of source network from where the user is staking.
    event Staked(address indexed account, uint256 amount, uint256 chainId);

    /// @dev Emitted when staked tokens are withdrawn (unstaked) from the contract.
    /// @notice This event is fired whenever a user unstakes tokens, indicating the amount unstaked.
    /// @param account The address of the account that unstaked tokens.
    /// @param amount The amount of tokens that were unstaked by the account.\
    /// @param chainId The Chain ID of source network from where the user is unstaking.
    event Unstaked(address indexed account, uint256 amount, uint256 chainId);

    /// @dev Emitted when rewards are claimed by a staker.
    /// @notice This event is fired whenever a user claims their staking rewards, indicating the amount claimed.
    /// @param account The address of the account that claimed rewards.
    /// @param amount The amount of rewards that were claimed by the account.
    /// @param chainId The Chain ID of source network from where the user is claiming.
    event Claimed(address indexed account, uint256 amount, uint256 chainId);

    /// @dev Emitted when a new reward amount is notified to the contract.
    /// @notice This event signals the notification of a new reward amount and the time when the rewards distribution will finish.
    /// @param amount The amount of rewards that will be distributed.
    /// @param finishAt The timestamp when the reward distribution is scheduled to finish.
    event Notified(uint256 amount, uint256 finishAt);

    /// @dev Emitted when the rewards distribution duration is set or updated.
    /// @notice This event is fired whenever the duration for rewards distribution is set or changed, indicating the new duration period.
    /// @param duration The new duration (in seconds) over which rewards will be distributed.
    event RewardsDurationSet(uint256 duration);

    /// @dev Error thrown when an operation that requires a non-zero amount is attempted with a zero value.
    /// @notice Indicates that the operation cannot proceed because the amount specified is zero.
    error XSykStaking_AmountZero();

    /// @dev Error thrown when an operation requires the caller to be the same as a specified account, but it is not.
    /// @notice Indicates that the caller of the function must be the same as the account specified for the operation.
    error XSykStaking_AccountNotSender();

    /// @dev Error thrown when an attempt is made to set or change the rewards duration while a previous rewards duration is still active.
    /// @notice Indicates that the rewards duration cannot be modified while the current rewards period has not yet concluded.
    error XSykStaking_RewardsDurationActive();

    /// @dev Error thrown when an operation that requires a non-zero reward rate is attempted with a zero value.
    /// @notice Indicates that the reward rate for distributing rewards cannot be zero.
    error XSykStaking_RewardRateZero();

    /// @dev Error thrown when there are not enough rewards in the contract to cover a distribution or operation.
    /// @notice Indicates that the operation cannot proceed because the contract does not hold enough rewards to fulfill the request.
    error XSykStaking_NotEnoughRewardBalance();

    /// @notice Returns the saked balance of an account.
    /// @param _accountId ID of the account.
    function balanceOf(bytes32 _accountId) external returns (uint256);

    /// @notice Returns the xSYK Reward Percentage.
    function xSykRewardPercentage() external returns (uint256);

    /// @notice Allows a user or a bridge adapter to stake tokens on behalf of a user.
    /// @param _amount Amount of tokens to stake.
    /// @param _chainId Chain ID from where the user is staking.
    /// @param _account Address of the user on whose behalf tokens are staked.
    function stake(uint256 _amount, uint256 _chainId, address _account) external;

    /// @notice Unstakes staked tokens for a user.
    /// @param _amount Amount of tokens to withdraw.
    /// @param _chainId Chain ID from where the user is unstaking.
    /// @param _account Address of the user withdrawing tokens.
    function unstake(uint256 _amount, uint256 _chainId, address _account) external;

    /// @notice Calculates the total rewards earned by a user.
    /// @param _accountId ID of the user (keccak256(abi.encode(chainId, userAddress))).
    /// @return The total rewards earned.
    function earned(bytes32 _accountId) external view returns (uint256);

    /// @notice Claims earned rewards for a user.
    /// @param _account Address of the user claiming rewards.
    /// @param _chainId Chain ID from where the user is claiming.
    /// @return reward The amount of rewards claimed.
    function claim(uint256 _chainId, address _account) external returns (uint256 reward);

    /// @notice Withdraws staked tokens and claims rewards for a user.
    /// @param _account Address of the user exiting the staking contract.
    /// @return balance The staked token balance returned.
    /// @return reward The rewards claimed.
    function exit(uint256 _chainId, address _account) external returns (uint256 balance, uint256 reward);
}

// lib/openzeppelin-contracts/contracts/access/manager/AuthorityUtils.sol

// OpenZeppelin Contracts (last updated v5.0.0) (access/manager/AuthorityUtils.sol)

library AuthorityUtils {
    /**
     * @dev Since `AccessManager` implements an extended IAuthority interface, invoking `canCall` with backwards compatibility
     * for the preexisting `IAuthority` interface requires special care to avoid reverting on insufficient return data.
     * This helper function takes care of invoking `canCall` in a backwards compatible way without reverting.
     */
    function canCallWithDelay(
        address authority,
        address caller,
        address target,
        bytes4 selector
    ) internal view returns (bool immediate, uint32 delay) {
        (bool success, bytes memory data) = authority.staticcall(
            abi.encodeCall(IAuthority.canCall, (caller, target, selector))
        );
        if (success) {
            if (data.length >= 0x40) {
                (immediate, delay) = abi.decode(data, (bool, uint32));
            } else if (data.length >= 0x20) {
                immediate = abi.decode(data, (bool));
            }
        }
        return (immediate, delay);
    }
}

// lib/openzeppelin-contracts/contracts/utils/types/Time.sol

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

/**
 * @dev This library provides helpers for manipulating time-related objects.
 *
 * It uses the following types:
 * - `uint48` for timepoints
 * - `uint32` for durations
 *
 * While the library doesn't provide specific types for timepoints and duration, it does provide:
 * - a `Delay` type to represent duration that can be programmed to change value automatically at a given point
 * - additional helper functions
 */
library Time {
    using Time for *;

    /**
     * @dev Get the block timestamp as a Timepoint.
     */
    function timestamp() internal view returns (uint48) {
        return SafeCast.toUint48(block.timestamp);
    }

    /**
     * @dev Get the block number as a Timepoint.
     */
    function blockNumber() internal view returns (uint48) {
        return SafeCast.toUint48(block.number);
    }

    // ==================================================== Delay =====================================================
    /**
     * @dev A `Delay` is a uint32 duration that can be programmed to change value automatically at a given point in the
     * future. The "effect" timepoint describes when the transitions happens from the "old" value to the "new" value.
     * This allows updating the delay applied to some operation while keeping some guarantees.
     *
     * In particular, the {update} function guarantees that if the delay is reduced, the old delay still applies for
     * some time. For example if the delay is currently 7 days to do an upgrade, the admin should not be able to set
     * the delay to 0 and upgrade immediately. If the admin wants to reduce the delay, the old delay (7 days) should
     * still apply for some time.
     *
     *
     * The `Delay` type is 112 bits long, and packs the following:
     *
     * ```
     *   | [uint48]: effect date (timepoint)
     *   |           | [uint32]: value before (duration)
     *   ↓           ↓       ↓ [uint32]: value after (duration)
     * 0xAAAAAAAAAAAABBBBBBBBCCCCCCCC
     * ```
     *
     * NOTE: The {get} and {withUpdate} functions operate using timestamps. Block number based delays are not currently
     * supported.
     */
    type Delay is uint112;

    /**
     * @dev Wrap a duration into a Delay to add the one-step "update in the future" feature
     */
    function toDelay(uint32 duration) internal pure returns (Delay) {
        return Delay.wrap(duration);
    }

    /**
     * @dev Get the value at a given timepoint plus the pending value and effect timepoint if there is a scheduled
     * change after this timepoint. If the effect timepoint is 0, then the pending value should not be considered.
     */
    function _getFullAt(Delay self, uint48 timepoint) private pure returns (uint32, uint32, uint48) {
        (uint32 valueBefore, uint32 valueAfter, uint48 effect) = self.unpack();
        return effect <= timepoint ? (valueAfter, 0, 0) : (valueBefore, valueAfter, effect);
    }

    /**
     * @dev Get the current value plus the pending value and effect timepoint if there is a scheduled change. If the
     * effect timepoint is 0, then the pending value should not be considered.
     */
    function getFull(Delay self) internal view returns (uint32, uint32, uint48) {
        return _getFullAt(self, timestamp());
    }

    /**
     * @dev Get the current value.
     */
    function get(Delay self) internal view returns (uint32) {
        (uint32 delay, , ) = self.getFull();
        return delay;
    }

    /**
     * @dev Update a Delay object so that it takes a new duration after a timepoint that is automatically computed to
     * enforce the old delay at the moment of the update. Returns the updated Delay object and the timestamp when the
     * new delay becomes effective.
     */
    function withUpdate(
        Delay self,
        uint32 newValue,
        uint32 minSetback
    ) internal view returns (Delay updatedDelay, uint48 effect) {
        uint32 value = self.get();
        uint32 setback = uint32(Math.max(minSetback, value > newValue ? value - newValue : 0));
        effect = timestamp() + setback;
        return (pack(value, newValue, effect), effect);
    }

    /**
     * @dev Split a delay into its components: valueBefore, valueAfter and effect (transition timepoint).
     */
    function unpack(Delay self) internal pure returns (uint32 valueBefore, uint32 valueAfter, uint48 effect) {
        uint112 raw = Delay.unwrap(self);

        valueAfter = uint32(raw);
        valueBefore = uint32(raw >> 32);
        effect = uint48(raw >> 64);

        return (valueBefore, valueAfter, effect);
    }

    /**
     * @dev pack the components into a Delay object.
     */
    function pack(uint32 valueBefore, uint32 valueAfter, uint48 effect) internal pure returns (Delay) {
        return Delay.wrap((uint112(effect) << 64) | (uint112(valueBefore) << 32) | uint112(valueAfter));
    }
}

// lib/openzeppelin-contracts/contracts/token/ERC20/utils/SafeERC20.sol

// OpenZeppelin Contracts (last updated v5.0.0) (token/ERC20/utils/SafeERC20.sol)

/**
 * @title SafeERC20
 * @dev Wrappers around ERC20 operations that throw on failure (when the token
 * contract returns false). Tokens that return no value (and instead revert or
 * throw on failure) are also supported, non-reverting calls are assumed to be
 * successful.
 * To use this library you can add a `using SafeERC20 for IERC20;` statement to your contract,
 * which allows you to call the safe operations as `token.safeTransfer(...)`, etc.
 */
library SafeERC20 {
    using Address for address;

    /**
     * @dev An operation with an ERC20 token failed.
     */
    error SafeERC20FailedOperation(address token);

    /**
     * @dev Indicates a failed `decreaseAllowance` request.
     */
    error SafeERC20FailedDecreaseAllowance(address spender, uint256 currentAllowance, uint256 requestedDecrease);

    /**
     * @dev Transfer `value` amount of `token` from the calling contract to `to`. If `token` returns no value,
     * non-reverting calls are assumed to be successful.
     */
    function safeTransfer(IERC20 token, address to, uint256 value) internal {
        _callOptionalReturn(token, abi.encodeCall(token.transfer, (to, value)));
    }

    /**
     * @dev Transfer `value` amount of `token` from `from` to `to`, spending the approval given by `from` to the
     * calling contract. If `token` returns no value, non-reverting calls are assumed to be successful.
     */
    function safeTransferFrom(IERC20 token, address from, address to, uint256 value) internal {
        _callOptionalReturn(token, abi.encodeCall(token.transferFrom, (from, to, value)));
    }

    /**
     * @dev Increase the calling contract's allowance toward `spender` by `value`. If `token` returns no value,
     * non-reverting calls are assumed to be successful.
     */
    function safeIncreaseAllowance(IERC20 token, address spender, uint256 value) internal {
        uint256 oldAllowance = token.allowance(address(this), spender);
        forceApprove(token, spender, oldAllowance + value);
    }

    /**
     * @dev Decrease the calling contract's allowance toward `spender` by `requestedDecrease`. If `token` returns no
     * value, non-reverting calls are assumed to be successful.
     */
    function safeDecreaseAllowance(IERC20 token, address spender, uint256 requestedDecrease) internal {
        unchecked {
            uint256 currentAllowance = token.allowance(address(this), spender);
            if (currentAllowance < requestedDecrease) {
                revert SafeERC20FailedDecreaseAllowance(spender, currentAllowance, requestedDecrease);
            }
            forceApprove(token, spender, currentAllowance - requestedDecrease);
        }
    }

    /**
     * @dev Set the calling contract's allowance toward `spender` to `value`. If `token` returns no value,
     * non-reverting calls are assumed to be successful. Meant to be used with tokens that require the approval
     * to be set to zero before setting it to a non-zero value, such as USDT.
     */
    function forceApprove(IERC20 token, address spender, uint256 value) internal {
        bytes memory approvalCall = abi.encodeCall(token.approve, (spender, value));

        if (!_callOptionalReturnBool(token, approvalCall)) {
            _callOptionalReturn(token, abi.encodeCall(token.approve, (spender, 0)));
            _callOptionalReturn(token, approvalCall);
        }
    }

    /**
     * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement
     * on the return value: the return value is optional (but if data is returned, it must not be false).
     * @param token The token targeted by the call.
     * @param data The call data (encoded using abi.encode or one of its variants).
     */
    function _callOptionalReturn(IERC20 token, bytes memory data) private {
        // We need to perform a low level call here, to bypass Solidity's return data size checking mechanism, since
        // we're implementing it ourselves. We use {Address-functionCall} to perform this call, which verifies that
        // the target address contains contract code and also asserts for success in the low-level call.

        bytes memory returndata = address(token).functionCall(data);
        if (returndata.length != 0 && !abi.decode(returndata, (bool))) {
            revert SafeERC20FailedOperation(address(token));
        }
    }

    /**
     * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement
     * on the return value: the return value is optional (but if data is returned, it must not be false).
     * @param token The token targeted by the call.
     * @param data The call data (encoded using abi.encode or one of its variants).
     *
     * This is a variant of {_callOptionalReturn} that silents catches all reverts and returns a bool instead.
     */
    function _callOptionalReturnBool(IERC20 token, bytes memory data) private returns (bool) {
        // We need to perform a low level call here, to bypass Solidity's return data size checking mechanism, since
        // we're implementing it ourselves. We cannot use {Address-functionCall} here since this should return false
        // and not revert is the subcall reverts.

        (bool success, bytes memory returndata) = address(token).call(data);
        return success && (returndata.length == 0 || abi.decode(returndata, (bool))) && address(token).code.length > 0;
    }
}

// lib/openzeppelin-contracts/contracts/access/manager/IAccessManager.sol

// OpenZeppelin Contracts (last updated v5.0.0) (access/manager/IAccessManager.sol)

interface IAccessManager {
    /**
     * @dev A delayed operation was scheduled.
     */
    event OperationScheduled(
        bytes32 indexed operationId,
        uint32 indexed nonce,
        uint48 schedule,
        address caller,
        address target,
        bytes data
    );

    /**
     * @dev A scheduled operation was executed.
     */
    event OperationExecuted(bytes32 indexed operationId, uint32 indexed nonce);

    /**
     * @dev A scheduled operation was canceled.
     */
    event OperationCanceled(bytes32 indexed operationId, uint32 indexed nonce);

    /**
     * @dev Informational labelling for a roleId.
     */
    event RoleLabel(uint64 indexed roleId, string label);

    /**
     * @dev Emitted when `account` is granted `roleId`.
     *
     * NOTE: The meaning of the `since` argument depends on the `newMember` argument.
     * If the role is granted to a new member, the `since` argument indicates when the account becomes a member of the role,
     * otherwise it indicates the execution delay for this account and roleId is updated.
     */
    event RoleGranted(uint64 indexed roleId, address indexed account, uint32 delay, uint48 since, bool newMember);

    /**
     * @dev Emitted when `account` membership or `roleId` is revoked. Unlike granting, revoking is instantaneous.
     */
    event RoleRevoked(uint64 indexed roleId, address indexed account);

    /**
     * @dev Role acting as admin over a given `roleId` is updated.
     */
    event RoleAdminChanged(uint64 indexed roleId, uint64 indexed admin);

    /**
     * @dev Role acting as guardian over a given `roleId` is updated.
     */
    event RoleGuardianChanged(uint64 indexed roleId, uint64 indexed guardian);

    /**
     * @dev Grant delay for a given `roleId` will be updated to `delay` when `since` is reached.
     */
    event RoleGrantDelayChanged(uint64 indexed roleId, uint32 delay, uint48 since);

    /**
     * @dev Target mode is updated (true = closed, false = open).
     */
    event TargetClosed(address indexed target, bool closed);

    /**
     * @dev Role required to invoke `selector` on `target` is updated to `roleId`.
     */
    event TargetFunctionRoleUpdated(address indexed target, bytes4 selector, uint64 indexed roleId);

    /**
     * @dev Admin delay for a given `target` will be updated to `delay` when `since` is reached.
     */
    event TargetAdminDelayUpdated(address indexed target, uint32 delay, uint48 since);

    error AccessManagerAlreadyScheduled(bytes32 operationId);
    error AccessManagerNotScheduled(bytes32 operationId);
    error AccessManagerNotReady(bytes32 operationId);
    error AccessManagerExpired(bytes32 operationId);
    error AccessManagerLockedAccount(address account);
    error AccessManagerLockedRole(uint64 roleId);
    error AccessManagerBadConfirmation();
    error AccessManagerUnauthorizedAccount(address msgsender, uint64 roleId);
    error AccessManagerUnauthorizedCall(address caller, address target, bytes4 selector);
    error AccessManagerUnauthorizedConsume(address target);
    error AccessManagerUnauthorizedCancel(address msgsender, address caller, address target, bytes4 selector);
    error AccessManagerInvalidInitialAdmin(address initialAdmin);

    /**
     * @dev Check if an address (`caller`) is authorised to call a given function on a given contract directly (with
     * no restriction). Additionally, it returns the delay needed to perform the call indirectly through the {schedule}
     * & {execute} workflow.
     *
     * This function is usually called by the targeted contract to control immediate execution of restricted functions.
     * Therefore we only return true if the call can be performed without any delay. If the call is subject to a
     * previously set delay (not zero), then the function should return false and the caller should schedule the operation
     * for future execution.
     *
     * If `immediate` is true, the delay can be disregarded and the operation can be immediately executed, otherwise
     * the operation can be executed if and only if delay is greater than 0.
     *
     * NOTE: The IAuthority interface does not include the `uint32` delay. This is an extension of that interface that
     * is backward compatible. Some contracts may thus ignore the second return argument. In that case they will fail
     * to identify the indirect workflow, and will consider calls that require a delay to be forbidden.
     *
     * NOTE: This function does not report the permissions of this manager itself. These are defined by the
     * {_canCallSelf} function instead.
     */
    function canCall(
        address caller,
        address target,
        bytes4 selector
    ) external view returns (bool allowed, uint32 delay);

    /**
     * @dev Expiration delay for scheduled proposals. Defaults to 1 week.
     *
     * IMPORTANT: Avoid overriding the expiration with 0. Otherwise every contract proposal will be expired immediately,
     * disabling any scheduling usage.
     */
    function expiration() external view returns (uint32);

    /**
     * @dev Minimum setback for all delay updates, with the exception of execution delays. It
     * can be increased without setback (and reset via {revokeRole} in the case event of an
     * accidental increase). Defaults to 5 days.
     */
    function minSetback() external view returns (uint32);

    /**
     * @dev Get whether the contract is closed disabling any access. Otherwise role permissions are applied.
     */
    function isTargetClosed(address target) external view returns (bool);

    /**
     * @dev Get the role required to call a function.
     */
    function getTargetFunctionRole(address target, bytes4 selector) external view returns (uint64);

    /**
     * @dev Get the admin delay for a target contract. Changes to contract configuration are subject to this delay.
     */
    function getTargetAdminDelay(address target) external view returns (uint32);

    /**
     * @dev Get the id of the role that acts as an admin for the given role.
     *
     * The admin permission is required to grant the role, revoke the role and update the execution delay to execute
     * an operation that is restricted to this role.
     */
    function getRoleAdmin(uint64 roleId) external view returns (uint64);

    /**
     * @dev Get the role that acts as a guardian for a given role.
     *
     * The guardian permission allows canceling operations that have been scheduled under the role.
     */
    function getRoleGuardian(uint64 roleId) external view returns (uint64);

    /**
     * @dev Get the role current grant delay.
     *
     * Its value may change at any point without an event emitted following a call to {setGrantDelay}.
     * Changes to this value, including effect timepoint are notified in advance by the {RoleGrantDelayChanged} event.
     */
    function getRoleGrantDelay(uint64 roleId) external view returns (uint32);

    /**
     * @dev Get the access details for a given account for a given role. These details include the timepoint at which
     * membership becomes active, and the delay applied to all operation by this user that requires this permission
     * level.
     *
     * Returns:
     * [0] Timestamp at which the account membership becomes valid. 0 means role is not granted.
     * [1] Current execution delay for the account.
     * [2] Pending execution delay for the account.
     * [3] Timestamp at which the pending execution delay will become active. 0 means no delay update is scheduled.
     */
    function getAccess(uint64 roleId, address account) external view returns (uint48, uint32, uint32, uint48);

    /**
     * @dev Check if a given account currently has the permission level corresponding to a given role. Note that this
     * permission might be associated with an execution delay. {getAccess} can provide more details.
     */
    function hasRole(uint64 roleId, address account) external view returns (bool, uint32);

    /**
     * @dev Give a label to a role, for improved role discoverability by UIs.
     *
     * Requirements:
     *
     * - the caller must be a global admin
     *
     * Emits a {RoleLabel} event.
     */
    function labelRole(uint64 roleId, string calldata label) external;

    /**
     * @dev Add `account` to `roleId`, or change its execution delay.
     *
     * This gives the account the authorization to call any function that is restricted to this role. An optional
     * execution delay (in seconds) can be set. If that delay is non 0, the user is required to schedule any operation
     * that is restricted to members of this role. The user will only be able to execute the operation after the delay has
     * passed, before it has expired. During this period, admin and guardians can cancel the operation (see {cancel}).
     *
     * If the account has already been granted this role, the execution delay will be updated. This update is not
     * immediate and follows the delay rules. For example, if a user currently has a delay of 3 hours, and this is
     * called to reduce that delay to 1 hour, the new delay will take some time to take effect, enforcing that any
     * operation executed in the 3 hours that follows this update was indeed scheduled before this update.
     *
     * Requirements:
     *
     * - the caller must be an admin for the role (see {getRoleAdmin})
     * - granted role must not be the `PUBLIC_ROLE`
     *
     * Emits a {RoleGranted} event.
     */
    function grantRole(uint64 roleId, address account, uint32 executionDelay) external;

    /**
     * @dev Remove an account from a role, with immediate effect. If the account does not have the role, this call has
     * no effect.
     *
     * Requirements:
     *
     * - the caller must be an admin for the role (see {getRoleAdmin})
     * - revoked role must not be the `PUBLIC_ROLE`
     *
     * Emits a {RoleRevoked} event if the account had the role.
     */
    function revokeRole(uint64 roleId, address account) external;

    /**
     * @dev Renounce role permissions for the calling account with immediate effect. If the sender is not in
     * the role this call has no effect.
     *
     * Requirements:
     *
     * - the caller must be `callerConfirmation`.
     *
     * Emits a {RoleRevoked} event if the account had the role.
     */
    function renounceRole(uint64 roleId, address callerConfirmation) external;

    /**
     * @dev Change admin role for a given role.
     *
     * Requirements:
     *
     * - the caller must be a global admin
     *
     * Emits a {RoleAdminChanged} event
     */
    function setRoleAdmin(uint64 roleId, uint64 admin) external;

    /**
     * @dev Change guardian role for a given role.
     *
     * Requirements:
     *
     * - the caller must be a global admin
     *
     * Emits a {RoleGuardianChanged} event
     */
    function setRoleGuardian(uint64 roleId, uint64 guardian) external;

    /**
     * @dev Update the delay for granting a `roleId`.
     *
     * Requirements:
     *
     * - the caller must be a global admin
     *
     * Emits a {RoleGrantDelayChanged} event.
     */
    function setGrantDelay(uint64 roleId, uint32 newDelay) external;

    /**
     * @dev Set the role required to call functions identified by the `selectors` in the `target` contract.
     *
     * Requirements:
     *
     * - the caller must be a global admin
     *
     * Emits a {TargetFunctionRoleUpdated} event per selector.
     */
    function setTargetFunctionRole(address target, bytes4[] calldata selectors, uint64 roleId) external;

    /**
     * @dev Set the delay for changing the configuration of a given target contract.
     *
     * Requirements:
     *
     * - the caller must be a global admin
     *
     * Emits a {TargetAdminDelayUpdated} event.
     */
    function setTargetAdminDelay(address target, uint32 newDelay) external;

    /**
     * @dev Set the closed flag for a contract.
     *
     * Requirements:
     *
     * - the caller must be a global admin
     *
     * Emits a {TargetClosed} event.
     */
    function setTargetClosed(address target, bool closed) external;

    /**
     * @dev Return the timepoint at which a scheduled operation will be ready for execution. This returns 0 if the
     * operation is not yet scheduled, has expired, was executed, or was canceled.
     */
    function getSchedule(bytes32 id) external view returns (uint48);

    /**
     * @dev Return the nonce for the latest scheduled operation with a given id. Returns 0 if the operation has never
     * been scheduled.
     */
    function getNonce(bytes32 id) external view returns (uint32);

    /**
     * @dev Schedule a delayed operation for future execution, and return the operation identifier. It is possible to
     * choose the timestamp at which the operation becomes executable as long as it satisfies the execution delays
     * required for the caller. The special value zero will automatically set the earliest possible time.
     *
     * Returns the `operationId` that was scheduled. Since this value is a hash of the parameters, it can reoccur when
     * the same parameters are used; if this is relevant, the returned `nonce` can be used to uniquely identify this
     * scheduled operation from other occurrences of the same `operationId` in invocations of {execute} and {cancel}.
     *
     * Emits a {OperationScheduled} event.
     *
     * NOTE: It is not possible to concurrently schedule more than one operation with the same `target` and `data`. If
     * this is necessary, a random byte can be appended to `data` to act as a salt that will be ignored by the target
     * contract if it is using standard Solidity ABI encoding.
     */
    function schedule(address target, bytes calldata data, uint48 when) external returns (bytes32, uint32);

    /**
     * @dev Execute a function that is delay restricted, provided it was properly scheduled beforehand, or the
     * execution delay is 0.
     *
     * Returns the nonce that identifies the previously scheduled operation that is executed, or 0 if the
     * operation wasn't previously scheduled (if the caller doesn't have an execution delay).
     *
     * Emits an {OperationExecuted} event only if the call was scheduled and delayed.
     */
    function execute(address target, bytes calldata data) external payable returns (uint32);

    /**
     * @dev Cancel a scheduled (delayed) operation. Returns the nonce that identifies the previously scheduled
     * operation that is cancelled.
     *
     * Requirements:
     *
     * - the caller must be the proposer, a guardian of the targeted function, or a global admin
     *
     * Emits a {OperationCanceled} event.
     */
    function cancel(address caller, address target, bytes calldata data) external returns (uint32);

    /**
     * @dev Consume a scheduled operation targeting the caller. If such an operation exists, mark it as consumed
     * (emit an {OperationExecuted} event and clean the state). Otherwise, throw an error.
     *
     * This is useful for contract that want to enforce that calls targeting them were scheduled on the manager,
     * with all the verifications that it implies.
     *
     * Emit a {OperationExecuted} event.
     */
    function consumeScheduledOp(address caller, bytes calldata data) external;

    /**
     * @dev Hashing function for delayed operations.
     */
    function hashOperation(address caller, address target, bytes calldata data) external view returns (bytes32);

    /**
     * @dev Changes the authority of a target managed by this manager instance.
     *
     * Requirements:
     *
     * - the caller must be a global admin
     */
    function updateAuthority(address target, address newAuthority) external;
}

// lib/openzeppelin-contracts/contracts/access/manager/AccessManaged.sol

// OpenZeppelin Contracts (last updated v5.0.0) (access/manager/AccessManaged.sol)

/**
 * @dev This contract module makes available a {restricted} modifier. Functions decorated with this modifier will be
 * permissioned according to an "authority": a contract like {AccessManager} that follows the {IAuthority} interface,
 * implementing a policy that allows certain callers to access certain functions.
 *
 * IMPORTANT: The `restricted` modifier should never be used on `internal` functions, judiciously used in `public`
 * functions, and ideally only used in `external` functions. See {restricted}.
 */
abstract contract AccessManaged is Context, IAccessManaged {
    address private _authority;

    bool private _consumingSchedule;

    /**
     * @dev Initializes the contract connected to an initial authority.
     */
    constructor(address initialAuthority) {
        _setAuthority(initialAuthority);
    }

    /**
     * @dev Restricts access to a function as defined by the connected Authority for this contract and the
     * caller and selector of the function that entered the contract.
     *
     * [IMPORTANT]
     * ====
     * In general, this modifier should only be used on `external` functions. It is okay to use it on `public`
     * functions that are used as external entry points and are not called internally. Unless you know what you're
     * doing, it should never be used on `internal` functions. Failure to follow these rules can have critical security
     * implications! This is because the permissions are determined by the function that entered the contract, i.e. the
     * function at the bottom of the call stack, and not the function where the modifier is visible in the source code.
     * ====
     *
     * [WARNING]
     * ====
     * Avoid adding this modifier to the https://docs.soliditylang.org/en/v0.8.20/contracts.html#receive-ether-function[`receive()`]
     * function or the https://docs.soliditylang.org/en/v0.8.20/contracts.html#fallback-function[`fallback()`]. These
     * functions are the only execution paths where a function selector cannot be unambiguosly determined from the calldata
     * since the selector defaults to `0x00000000` in the `receive()` function and similarly in the `fallback()` function
     * if no calldata is provided. (See {_checkCanCall}).
     *
     * The `receive()` function will always panic whereas the `fallback()` may panic depending on the calldata length.
     * ====
     */
    modifier restricted() {
        _checkCanCall(_msgSender(), _msgData());
        _;
    }

    /// @inheritdoc IAccessManaged
    function authority() public view virtual returns (address) {
        return _authority;
    }

    /// @inheritdoc IAccessManaged
    function setAuthority(address newAuthority) public virtual {
        address caller = _msgSender();
        if (caller != authority()) {
            revert AccessManagedUnauthorized(caller);
        }
        if (newAuthority.code.length == 0) {
            revert AccessManagedInvalidAuthority(newAuthority);
        }
        _setAuthority(newAuthority);
    }

    /// @inheritdoc IAccessManaged
    function isConsumingScheduledOp() public view returns (bytes4) {
        return _consumingSchedule ? this.isConsumingScheduledOp.selector : bytes4(0);
    }

    /**
     * @dev Transfers control to a new authority. Internal function with no access restriction. Allows bypassing the
     * permissions set by the current authority.
     */
    function _setAuthority(address newAuthority) internal virtual {
        _authority = newAuthority;
        emit AuthorityUpdated(newAuthority);
    }

    /**
     * @dev Reverts if the caller is not allowed to call the function identified by a selector. Panics if the calldata
     * is less than 4 bytes long.
     */
    function _checkCanCall(address caller, bytes calldata data) internal virtual {
        (bool immediate, uint32 delay) = AuthorityUtils.canCallWithDelay(
            authority(),
            caller,
            address(this),
            bytes4(data[0:4])
        );
        if (!immediate) {
            if (delay > 0) {
                _consumingSchedule = true;
                IAccessManager(authority()).consumeScheduledOp(caller, data);
                _consumingSchedule = false;
            } else {
                revert AccessManagedUnauthorized(caller);
            }
        }
    }
}

// src/governance/XSykStaking.sol

/// @title XSyk Staking Contract
/// @notice Enables staking of a specific token and distribution of rewards over a fixed duration.
/// @dev This contract manages the staking of tokens and calculation and distribution of rewards based on staked amounts.
contract XSykStaking is IXSykStaking, AccessManaged {
    using SafeERC20 for IERC20;

    /// @notice Token that users stake in this contract.
    IERC20 public immutable stakingToken;

    /// @notice Token distributed as rewards to stakers.
    IERC20 public immutable rewardsToken;

    /// @notice xSYK Token
    IXStrykeToken public immutable xSyk;

    /// @notice xSYK reward conversion percentage.
    uint256 public xSykRewardPercentage;

    /// @notice Duration over which the rewards are distributed.
    uint256 public duration;

    /// @notice Time when the reward distribution finishes.
    uint256 public finishAt;

    /// @notice Last time rewards were updated or reward distribution finished, whichever is earlier.
    uint256 public updatedAt;

    /// @notice Rate at which rewards are distributed per second.
    uint256 public rewardRate;

    /// @notice Accumulated reward per token staked, scaled by 1e18.
    uint256 public rewardPerTokenStored;

    /// @notice Total amount of the staking token staked in the contract.
    uint256 public totalSupply;

    /// @notice Tracks which addresses are authorized as bridge adapters.
    mapping(address => bool) public bridgeAdapters;

    /// @notice Stores the rewardPerToken value at which each user's rewards were last calculated.
    mapping(bytes32 => uint256) public userRewardPerTokenPaid;

    /// @notice Stores the rewards that are yet to be claimed by each user.
    mapping(bytes32 => uint256) public rewards;

    /// @notice Amount of the staking token staked by each user.
    mapping(bytes32 => uint256) public balanceOf;

    /// @notice Initializes the staking and rewards tokens, along with the initial authority for access management.
    /// @param _stakingToken Address of the staking token.
    /// @param _rewardToken Address of the rewards token.
    /// @param _initialAuthority Address with initial administrative authority.
    constructor(address _stakingToken, address _rewardToken, address _xSyk, address _initialAuthority)
        AccessManaged(_initialAuthority)
    {
        stakingToken = IERC20(_stakingToken);
        rewardsToken = IERC20(_rewardToken);
        xSyk = IXStrykeToken(_xSyk);
    }

    /// @dev Updates reward calculation for a user before executing function logic.
    /// @param _accountId Address of the user for whom rewards are updated.
    function updateReward(bytes32 _accountId) private {
        rewardPerTokenStored = rewardPerToken();
        updatedAt = lastTimeRewardApplicable();

        if (_accountId != 0) {
            rewards[_accountId] = earned(_accountId);
            userRewardPerTokenPaid[_accountId] = rewardPerTokenStored;
        }
    }

    /// @notice Updates the authorization status of a bridge adapter.
    /// @dev Restricted to contract administrators.
    /// @param _bridgeAdapter Address of the bridge adapter.
    /// @param _add True to authorize, false to revoke authorization.
    function updateBridgeAdapter(address _bridgeAdapter, bool _add) external restricted {
        bridgeAdapters[_bridgeAdapter] = _add;

        emit BridgeAdapterUpdated(_bridgeAdapter, _add);
    }

    /// @notice Updates xSYK reward conversion percentage.
    /// @dev Restricted to contract administrators.
    /// @param _xSykRewardPercentage The percentage of SYK rewards to be sent in xSYK
    function updateXSykRewardPercentage(uint256 _xSykRewardPercentage) external restricted {
        xSykRewardPercentage = _xSykRewardPercentage;

        emit XSykRewardPercentageUpdated(_xSykRewardPercentage);
    }

    /// @notice Calculates the last time rewards are applicable.
    function lastTimeRewardApplicable() public view returns (uint256) {
        return _min(finishAt, block.timestamp);
    }

    /// @notice Calculates the accumulated amount of reward per token staked.
    function rewardPerToken() public view returns (uint256) {
        if (totalSupply == 0) {
            return rewardPerTokenStored;
        }

        return rewardPerTokenStored + (rewardRate * (lastTimeRewardApplicable() - updatedAt) * 1e18) / totalSupply;
    }

    /// 
    function stake(uint256 _amount, uint256 _chainId, address _account) external {
        if (_amount == 0) revert XSykStaking_AmountZero();

        bytes32 accountId;
        uint256 chainId = _chainId;

        if (!bridgeAdapters[msg.sender]) {
            if (_account != msg.sender) revert XSykStaking_AccountNotSender();
            stakingToken.safeTransferFrom(_account, address(this), _amount);
            chainId = block.chainid;
            accountId = keccak256(abi.encode(chainId, msg.sender));
        } else {
            accountId = keccak256(abi.encode(chainId, _account));
        }

        updateReward(accountId);

        balanceOf[accountId] += _amount;
        totalSupply += _amount;

        emit Staked(_account, _amount, chainId);
    }

    /// 
    function unstake(uint256 _amount, uint256 _chainId, address _account) public {
        if (_amount == 0) revert XSykStaking_AmountZero();

        bytes32 accountId;
        uint256 chainId = _chainId;

        if (!bridgeAdapters[msg.sender]) {
            if (_account != msg.sender) revert XSykStaking_AccountNotSender();
            stakingToken.safeTransfer(_account, _amount);
            chainId = block.chainid;
            accountId = keccak256(abi.encode(chainId, msg.sender));
        } else {
            accountId = keccak256(abi.encode(chainId, _account));
        }

        updateReward(accountId);

        balanceOf[accountId] -= _amount;
        totalSupply -= _amount;

        emit Unstaked(_account, _amount, chainId);
    }

    /// 
    function earned(bytes32 _accountId) public view returns (uint256) {
        return ((balanceOf[_accountId] * (rewardPerToken() - userRewardPerTokenPaid[_accountId])) / 1e18)
            + rewards[_accountId];
    }

    /// 
    function claim(uint256 _chainId, address _account) public returns (uint256 reward) {
        bytes32 accountId;
        uint256 chainId = _chainId;

        if (!bridgeAdapters[msg.sender]) {
            if (_account != msg.sender) revert XSykStaking_AccountNotSender();
            chainId = block.chainid;
            accountId = keccak256(abi.encode(chainId, msg.sender));
        } else {
            accountId = keccak256(abi.encode(chainId, _account));
        }

        updateReward(accountId);

        reward = rewards[accountId];
        if (reward > 0) {
            rewards[accountId] = 0;
            if (!bridgeAdapters[msg.sender]) {
                uint256 xSykReward = (reward * xSykRewardPercentage) / 100;
                if (xSykReward > 0) {
                    rewardsToken.approve(address(xSyk), xSykReward);
                    xSyk.convert(xSykReward, _account);
                }
                rewardsToken.safeTransfer(_account, reward - xSykReward);
            } else {
                // The transfer needs to happen to msg.sender since the reward is transferred to the bridge adapter which is bridged back for the account
                rewardsToken.safeTransfer(msg.sender, reward);
            }
        }

        emit Claimed(_account, reward, chainId);
    }

    /// 
    function exit(uint256 _chainId, address _account) external returns (uint256 balance, uint256 reward) {
        bytes32 accountId;
        uint256 chainId = _chainId;

        if (!bridgeAdapters[msg.sender]) {
            chainId = block.chainid;
            accountId = keccak256(abi.encode(chainId, msg.sender));
        } else {
            accountId = keccak256(abi.encode(chainId, _account));
        }

        balance = balanceOf[accountId];
        unstake(balance, chainId, _account);
        reward = claim(chainId, _account);
    }

    /// @notice Sets the duration over which rewards are distributed.
    /// @dev Restricted to contract administrators.
    /// @param _duration The new rewards duration.
    function setRewardsDuration(uint256 _duration) external restricted {
        if (finishAt >= block.timestamp) revert XSykStaking_RewardsDurationActive();
        duration = _duration;

        emit RewardsDurationSet(_duration);
    }

    /// @notice Notifies the contract of the amount of rewards to be distributed over the set duration.
    /// @dev Restricted to contract administrators.
    /// @param _amount The amount of rewards to distribute.
    function notifyRewardAmount(uint256 _amount) external restricted {
        updateReward(0);

        if (block.timestamp >= finishAt) {
            rewardRate = _amount / duration;
        } else {
            uint256 remainingRewards = (finishAt - block.timestamp) * rewardRate;
            rewardRate = (_amount + remainingRewards) / duration;
        }

        if (rewardRate == 0) revert XSykStaking_RewardRateZero();
        if (rewardRate * duration > rewardsToken.balanceOf(address(this))) revert XSykStaking_NotEnoughRewardBalance();

        finishAt = block.timestamp + duration;
        updatedAt = block.timestamp;

        emit Notified(_amount, finishAt);
    }

    /// @notice Performs an emergency withdraw of all tokens from the contract.
    /// @param token The address of the token to withdraw.
    /// @dev Only the owner can call this function.
    function recoverERC20(address token) external restricted {
        IERC20(token).safeTransfer(msg.sender, IERC20(token).balanceOf(address(this)));
    }

    /// @dev Returns the minimum of 2 values. Private function.
    /// @param x uint256
    /// @param y uint256
    function _min(uint256 x, uint256 y) private pure returns (uint256) {
        return x <= y ? x : y;
    }
}

{
  "compilationTarget": {
    "XSykStaking.sol": "XSykStaking"
  },
  "evmVersion": "paris",
  "libraries": {},
  "metadata": {
    "bytecodeHash": "ipfs"
  },
  "optimizer": {
    "enabled": true,
    "runs": 200
  },
  "remappings": []
}