ETH Price: $2,077.75 (+1.24%)

Transaction Decoder

Block:
22440557 at May-08-2025 06:23:35 PM +UTC
Transaction Fee:
0.00078104549974632 ETH $1.62
Gas Used:
82,640 Gas / 9.451179813 Gwei

Emitted Events:

521 SpaceAndTime.Transfer( from=[Receiver] SXTDistributorWithDeadline, to=[Sender] 0xa6ccc746faf2a76dbc67ceb488609127f40ceba0, value=400000000000000000000 )
522 SXTDistributorWithDeadline.Claimed( index=52092, account=[Sender] 0xa6ccc746faf2a76dbc67ceb488609127f40ceba0, amount=400000000000000000000 )

Account State Difference:

  Address   Before After State Difference Code
0x09a7468E...Ee5A51C52
(beaverbuild)
6.572533075333083702 Eth6.572541339333083702 Eth0.000008264
0xA6ccC746...7f40CEba0
0.004751498836802526 Eth
Nonce: 0
0.003970453337056206 Eth
Nonce: 1
0.00078104549974632
0xE6Bfd33F...FFDAbB195

Execution Trace

SXTDistributorWithDeadline.claim( )
  • SpaceAndTime.transfer( to=0xA6ccC746faf2A76dbc67cEB488609127f40CEba0, value=400000000000000000000 ) => ( True )
    File 1 of 2: SXTDistributorWithDeadline
    // SPDX-License-Identifier: MIT
    pragma solidity 0.8.28;
    /* solhint-disable not-rely-on-time */
    import {Ownable} from "@openzeppelin/contracts/access/Ownable.sol";
    import {IERC20, SafeERC20} from "@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol";
    import {SXTTokenDistributor} from "./SXTTokenDistributor.sol";
    /**
     * @title SXTDistributorWithDeadline
     * @notice A token distributor with a deadline after which tokens can be withdrawn
     * @dev This contract uses block.timestamp for time-based logic. While timestamps can be slightly manipulated by miners,
     *      this is acceptable for this use case as:
     *      1. The time window for claims is expected to be long (days/weeks)
     *      2. A few seconds/minutes of manipulation would not significantly impact the contract's functionality
     *      3. There is no financial incentive for miners to manipulate the timestamp for this contract
     */
    contract SXTDistributorWithDeadline is SXTTokenDistributor, Ownable {
        using SafeERC20 for IERC20;
        error EndTimeInPast();
        error ClaimWindowFinished();
        error NoWithdrawDuringClaim();
        /// @notice The timestamp at which the claim window ends
        uint256 public immutable END_TIME;
        /**
         * @notice Constructor for the SXTDistributorWithDeadline
         * @param token_ The address of the SXT token contract
         * @param merkleRoot_ The merkle root containing eligible claim data
         * @param endTime_ The timestamp at which the claim window ends
         * @dev Uses block.timestamp comparison which is safe for this use case
         */
        constructor(address token_, bytes32 merkleRoot_, uint256 endTime_)
            SXTTokenDistributor(token_, merkleRoot_)
            Ownable(msg.sender)
        {
            // slither-disable-next-line timestamp
            if (endTime_ < block.timestamp) revert EndTimeInPast();
            END_TIME = endTime_;
        }
        /**
         * @notice Claim tokens from the distributor
         * @param index Index in the merkle tree
         * @param account Address that should receive tokens
         * @param amount Amount of tokens to claim
         * @param merkleProof Merkle proof for the claim
         * @dev Uses block.timestamp comparison which is safe for this use case
         */
        function claim(uint256 index, address account, uint256 amount, bytes32[] calldata merkleProof) public override {
            // slither-disable-next-line timestamp
            if (block.timestamp > END_TIME) revert ClaimWindowFinished();
            super.claim(index, account, amount, merkleProof);
        }
        /**
         * @notice Withdraw unclaimed tokens after the claim window has ended
         * @dev Can only be called after the claim period has ended
         * @dev Uses block.timestamp comparison which is safe for this use case
         */
        function withdraw() external onlyOwner {
            // slither-disable-next-line timestamp
            if (!(block.timestamp > END_TIME)) revert NoWithdrawDuringClaim();
            // Get the token address from the parent contract
            address tokenAddress = TOKEN_ADDRESS;
            // Transfer all tokens to the owner
            uint256 balance = IERC20(tokenAddress).balanceOf(address(this));
            IERC20(tokenAddress).safeTransfer(msg.sender, balance);
        }
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.0.0) (access/Ownable.sol)
    pragma solidity ^0.8.20;
    import {Context} from "../utils/Context.sol";
    /**
     * @dev Contract module which provides a basic access control mechanism, where
     * there is an account (an owner) that can be granted exclusive access to
     * specific functions.
     *
     * The initial owner is set to the address provided by the deployer. This can
     * later be changed with {transferOwnership}.
     *
     * This module is used through inheritance. It will make available the modifier
     * `onlyOwner`, which can be applied to your functions to restrict their use to
     * the owner.
     */
    abstract contract Ownable is Context {
        address private _owner;
        /**
         * @dev The caller account is not authorized to perform an operation.
         */
        error OwnableUnauthorizedAccount(address account);
        /**
         * @dev The owner is not a valid owner account. (eg. `address(0)`)
         */
        error OwnableInvalidOwner(address owner);
        event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);
        /**
         * @dev Initializes the contract setting the address provided by the deployer as the initial owner.
         */
        constructor(address initialOwner) {
            if (initialOwner == address(0)) {
                revert OwnableInvalidOwner(address(0));
            }
            _transferOwnership(initialOwner);
        }
        /**
         * @dev Throws if called by any account other than the owner.
         */
        modifier onlyOwner() {
            _checkOwner();
            _;
        }
        /**
         * @dev Returns the address of the current owner.
         */
        function owner() public view virtual returns (address) {
            return _owner;
        }
        /**
         * @dev Throws if the sender is not the owner.
         */
        function _checkOwner() internal view virtual {
            if (owner() != _msgSender()) {
                revert OwnableUnauthorizedAccount(_msgSender());
            }
        }
        /**
         * @dev Leaves the contract without owner. It will not be possible to call
         * `onlyOwner` functions. Can only be called by the current owner.
         *
         * NOTE: Renouncing ownership will leave the contract without an owner,
         * thereby disabling any functionality that is only available to the owner.
         */
        function renounceOwnership() public virtual onlyOwner {
            _transferOwnership(address(0));
        }
        /**
         * @dev Transfers ownership of the contract to a new account (`newOwner`).
         * Can only be called by the current owner.
         */
        function transferOwnership(address newOwner) public virtual onlyOwner {
            if (newOwner == address(0)) {
                revert OwnableInvalidOwner(address(0));
            }
            _transferOwnership(newOwner);
        }
        /**
         * @dev Transfers ownership of the contract to a new account (`newOwner`).
         * Internal function without access restriction.
         */
        function _transferOwnership(address newOwner) internal virtual {
            address oldOwner = _owner;
            _owner = newOwner;
            emit OwnershipTransferred(oldOwner, newOwner);
        }
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.2.0) (token/ERC20/utils/SafeERC20.sol)
    pragma solidity ^0.8.20;
    import {IERC20} from "../IERC20.sol";
    import {IERC1363} from "../../../interfaces/IERC1363.sol";
    /**
     * @title SafeERC20
     * @dev Wrappers around ERC-20 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 {
        /**
         * @dev An operation with an ERC-20 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.
         *
         * IMPORTANT: If the token implements ERC-7674 (ERC-20 with temporary allowance), and if the "client"
         * smart contract uses ERC-7674 to set temporary allowances, then the "client" smart contract should avoid using
         * this function. Performing a {safeIncreaseAllowance} or {safeDecreaseAllowance} operation on a token contract
         * that has a non-zero temporary allowance (for that particular owner-spender) will result in unexpected behavior.
         */
        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.
         *
         * IMPORTANT: If the token implements ERC-7674 (ERC-20 with temporary allowance), and if the "client"
         * smart contract uses ERC-7674 to set temporary allowances, then the "client" smart contract should avoid using
         * this function. Performing a {safeIncreaseAllowance} or {safeDecreaseAllowance} operation on a token contract
         * that has a non-zero temporary allowance (for that particular owner-spender) will result in unexpected behavior.
         */
        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.
         *
         * NOTE: If the token implements ERC-7674, this function will not modify any temporary allowance. This function
         * only sets the "standard" allowance. Any temporary allowance will remain active, in addition to the value being
         * set here.
         */
        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 Performs an {ERC1363} transferAndCall, with a fallback to the simple {ERC20} transfer if the target has no
         * code. This can be used to implement an {ERC721}-like safe transfer that rely on {ERC1363} checks when
         * targeting contracts.
         *
         * Reverts if the returned value is other than `true`.
         */
        function transferAndCallRelaxed(IERC1363 token, address to, uint256 value, bytes memory data) internal {
            if (to.code.length == 0) {
                safeTransfer(token, to, value);
            } else if (!token.transferAndCall(to, value, data)) {
                revert SafeERC20FailedOperation(address(token));
            }
        }
        /**
         * @dev Performs an {ERC1363} transferFromAndCall, with a fallback to the simple {ERC20} transferFrom if the target
         * has no code. This can be used to implement an {ERC721}-like safe transfer that rely on {ERC1363} checks when
         * targeting contracts.
         *
         * Reverts if the returned value is other than `true`.
         */
        function transferFromAndCallRelaxed(
            IERC1363 token,
            address from,
            address to,
            uint256 value,
            bytes memory data
        ) internal {
            if (to.code.length == 0) {
                safeTransferFrom(token, from, to, value);
            } else if (!token.transferFromAndCall(from, to, value, data)) {
                revert SafeERC20FailedOperation(address(token));
            }
        }
        /**
         * @dev Performs an {ERC1363} approveAndCall, with a fallback to the simple {ERC20} approve if the target has no
         * code. This can be used to implement an {ERC721}-like safe transfer that rely on {ERC1363} checks when
         * targeting contracts.
         *
         * NOTE: When the recipient address (`to`) has no code (i.e. is an EOA), this function behaves as {forceApprove}.
         * Opposedly, when the recipient address (`to`) has code, this function only attempts to call {ERC1363-approveAndCall}
         * once without retrying, and relies on the returned value to be true.
         *
         * Reverts if the returned value is other than `true`.
         */
        function approveAndCallRelaxed(IERC1363 token, address to, uint256 value, bytes memory data) internal {
            if (to.code.length == 0) {
                forceApprove(token, to, value);
            } else if (!token.approveAndCall(to, value, data)) {
                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 {_callOptionalReturnBool} that reverts if call fails to meet the requirements.
         */
        function _callOptionalReturn(IERC20 token, bytes memory data) private {
            uint256 returnSize;
            uint256 returnValue;
            assembly ("memory-safe") {
                let success := call(gas(), token, 0, add(data, 0x20), mload(data), 0, 0x20)
                // bubble errors
                if iszero(success) {
                    let ptr := mload(0x40)
                    returndatacopy(ptr, 0, returndatasize())
                    revert(ptr, returndatasize())
                }
                returnSize := returndatasize()
                returnValue := mload(0)
            }
            if (returnSize == 0 ? address(token).code.length == 0 : returnValue != 1) {
                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 silently catches all reverts and returns a bool instead.
         */
        function _callOptionalReturnBool(IERC20 token, bytes memory data) private returns (bool) {
            bool success;
            uint256 returnSize;
            uint256 returnValue;
            assembly ("memory-safe") {
                success := call(gas(), token, 0, add(data, 0x20), mload(data), 0, 0x20)
                returnSize := returndatasize()
                returnValue := mload(0)
            }
            return success && (returnSize == 0 ? address(token).code.length > 0 : returnValue == 1);
        }
    }
    // SPDX-License-Identifier: MIT
    pragma solidity 0.8.28;
    import {IERC20, SafeERC20} from "@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol";
    import {MerkleProof} from "@openzeppelin/contracts/utils/cryptography/MerkleProof.sol";
    import {ISXTTokenDistributor} from "./interfaces/ISXTTokenDistributor.sol";
    /**
     * @title SXTTokenDistributor
     * @notice A contract that distributes SXT tokens according to a merkle root
     * @dev Based on Uniswap's MerkleDistributor pattern
     */
    abstract contract SXTTokenDistributor is ISXTTokenDistributor {
        using SafeERC20 for IERC20;
        error AlreadyClaimed();
        error InvalidProof();
        address public immutable TOKEN_ADDRESS;
        bytes32 public immutable MERKLE_ROOT;
        // This is a packed array of booleans to efficiently track claimed status
        mapping(uint256 wordIndex => uint256 claimedWord) private claimedBitMap;
        /**
         * @notice Constructor for the SXTTokenDistributor
         * @param token_ The address of the SXT token contract
         * @param merkleRoot_ The merkle root containing eligible claim data
         */
        constructor(address token_, bytes32 merkleRoot_) {
            TOKEN_ADDRESS = token_;
            MERKLE_ROOT = merkleRoot_;
        }
        /**
         * @notice Returns true if the index has been claimed
         * @param index The index to check
         * @return claimed Whether the index has been claimed
         */
        function isClaimed(uint256 index) public view override returns (bool claimed) {
            uint256 claimedWordIndex = index / 256;
            uint256 claimedBitIndex = index % 256;
            uint256 claimedWord = claimedBitMap[claimedWordIndex];
            uint256 mask = (1 << claimedBitIndex);
            return claimedWord & mask == mask;
        }
        /**
         * @notice Sets the claim status for an index
         * @param index The index to set claimed status for
         */
        function _setClaimed(uint256 index) private {
            uint256 claimedWordIndex = index / 256;
            uint256 claimedBitIndex = index % 256;
            claimedBitMap[claimedWordIndex] = claimedBitMap[claimedWordIndex] | (1 << claimedBitIndex);
        }
        /**
         * @notice Claim SXT tokens to the specified account
         * @param index Index in the merkle tree
         * @param account Address to receive the tokens
         * @param amount Amount of tokens to claim
         * @param merkleProof Merkle proof for the claim
         */
        function claim(uint256 index, address account, uint256 amount, bytes32[] calldata merkleProof)
            public
            virtual
            override
        {
            if (isClaimed(index)) revert AlreadyClaimed();
            // Verify the merkle proof
            bytes32 node = keccak256(abi.encodePacked(index, account, amount));
            if (!MerkleProof.verify(merkleProof, MERKLE_ROOT, node)) revert InvalidProof();
            // Mark it claimed and send the token
            _setClaimed(index);
            IERC20(TOKEN_ADDRESS).safeTransfer(account, amount);
            emit Claimed(index, account, amount);
        }
        /**
         * @notice Returns the address of the token distributed by this contract
         * @return tokenAddress The address of the token
         */
        function token() external view override returns (address tokenAddress) {
            return TOKEN_ADDRESS;
        }
        /**
         * @notice Returns the merkle root of the merkle tree
         * @return root The merkle root
         */
        function merkleRoot() external view override returns (bytes32 root) {
            return MERKLE_ROOT;
        }
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.0.1) (utils/Context.sol)
    pragma solidity ^0.8.20;
    /**
     * @dev Provides information about the current execution context, including the
     * sender of the transaction and its data. While these are generally available
     * via msg.sender and msg.data, they should not be accessed in such a direct
     * manner, since when dealing with meta-transactions the account sending and
     * paying for execution may not be the actual sender (as far as an application
     * is concerned).
     *
     * This contract is only required for intermediate, library-like contracts.
     */
    abstract contract Context {
        function _msgSender() internal view virtual returns (address) {
            return msg.sender;
        }
        function _msgData() internal view virtual returns (bytes calldata) {
            return msg.data;
        }
        function _contextSuffixLength() internal view virtual returns (uint256) {
            return 0;
        }
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.1.0) (token/ERC20/IERC20.sol)
    pragma solidity ^0.8.20;
    /**
     * @dev Interface of the ERC-20 standard as defined in the ERC.
     */
    interface IERC20 {
        /**
         * @dev Emitted when `value` tokens are moved from one account (`from`) to
         * another (`to`).
         *
         * Note that `value` may be zero.
         */
        event Transfer(address indexed from, address indexed to, uint256 value);
        /**
         * @dev Emitted when the allowance of a `spender` for an `owner` is set by
         * a call to {approve}. `value` is the new allowance.
         */
        event Approval(address indexed owner, address indexed spender, uint256 value);
        /**
         * @dev Returns the value of tokens in existence.
         */
        function totalSupply() external view returns (uint256);
        /**
         * @dev Returns the value of tokens owned by `account`.
         */
        function balanceOf(address account) external view returns (uint256);
        /**
         * @dev Moves a `value` amount of tokens from the caller's account to `to`.
         *
         * Returns a boolean value indicating whether the operation succeeded.
         *
         * Emits a {Transfer} event.
         */
        function transfer(address to, uint256 value) external returns (bool);
        /**
         * @dev Returns the remaining number of tokens that `spender` will be
         * allowed to spend on behalf of `owner` through {transferFrom}. This is
         * zero by default.
         *
         * This value changes when {approve} or {transferFrom} are called.
         */
        function allowance(address owner, address spender) external view returns (uint256);
        /**
         * @dev Sets a `value` amount of tokens as the allowance of `spender` over the
         * caller's tokens.
         *
         * Returns a boolean value indicating whether the operation succeeded.
         *
         * IMPORTANT: Beware that changing an allowance with this method brings the risk
         * that someone may use both the old and the new allowance by unfortunate
         * transaction ordering. One possible solution to mitigate this race
         * condition is to first reduce the spender's allowance to 0 and set the
         * desired value afterwards:
         * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
         *
         * Emits an {Approval} event.
         */
        function approve(address spender, uint256 value) external returns (bool);
        /**
         * @dev Moves a `value` amount of tokens from `from` to `to` using the
         * allowance mechanism. `value` is then deducted from the caller's
         * allowance.
         *
         * Returns a boolean value indicating whether the operation succeeded.
         *
         * Emits a {Transfer} event.
         */
        function transferFrom(address from, address to, uint256 value) external returns (bool);
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.1.0) (interfaces/IERC1363.sol)
    pragma solidity ^0.8.20;
    import {IERC20} from "./IERC20.sol";
    import {IERC165} from "./IERC165.sol";
    /**
     * @title IERC1363
     * @dev Interface of the ERC-1363 standard as defined in the https://eips.ethereum.org/EIPS/eip-1363[ERC-1363].
     *
     * Defines an extension interface for ERC-20 tokens that supports executing code on a recipient contract
     * after `transfer` or `transferFrom`, or code on a spender contract after `approve`, in a single transaction.
     */
    interface IERC1363 is IERC20, IERC165 {
        /*
         * Note: the ERC-165 identifier for this interface is 0xb0202a11.
         * 0xb0202a11 ===
         *   bytes4(keccak256('transferAndCall(address,uint256)')) ^
         *   bytes4(keccak256('transferAndCall(address,uint256,bytes)')) ^
         *   bytes4(keccak256('transferFromAndCall(address,address,uint256)')) ^
         *   bytes4(keccak256('transferFromAndCall(address,address,uint256,bytes)')) ^
         *   bytes4(keccak256('approveAndCall(address,uint256)')) ^
         *   bytes4(keccak256('approveAndCall(address,uint256,bytes)'))
         */
        /**
         * @dev Moves a `value` amount of tokens from the caller's account to `to`
         * and then calls {IERC1363Receiver-onTransferReceived} on `to`.
         * @param to The address which you want to transfer to.
         * @param value The amount of tokens to be transferred.
         * @return A boolean value indicating whether the operation succeeded unless throwing.
         */
        function transferAndCall(address to, uint256 value) external returns (bool);
        /**
         * @dev Moves a `value` amount of tokens from the caller's account to `to`
         * and then calls {IERC1363Receiver-onTransferReceived} on `to`.
         * @param to The address which you want to transfer to.
         * @param value The amount of tokens to be transferred.
         * @param data Additional data with no specified format, sent in call to `to`.
         * @return A boolean value indicating whether the operation succeeded unless throwing.
         */
        function transferAndCall(address to, uint256 value, bytes calldata data) external returns (bool);
        /**
         * @dev Moves a `value` amount of tokens from `from` to `to` using the allowance mechanism
         * and then calls {IERC1363Receiver-onTransferReceived} on `to`.
         * @param from The address which you want to send tokens from.
         * @param to The address which you want to transfer to.
         * @param value The amount of tokens to be transferred.
         * @return A boolean value indicating whether the operation succeeded unless throwing.
         */
        function transferFromAndCall(address from, address to, uint256 value) external returns (bool);
        /**
         * @dev Moves a `value` amount of tokens from `from` to `to` using the allowance mechanism
         * and then calls {IERC1363Receiver-onTransferReceived} on `to`.
         * @param from The address which you want to send tokens from.
         * @param to The address which you want to transfer to.
         * @param value The amount of tokens to be transferred.
         * @param data Additional data with no specified format, sent in call to `to`.
         * @return A boolean value indicating whether the operation succeeded unless throwing.
         */
        function transferFromAndCall(address from, address to, uint256 value, bytes calldata data) external returns (bool);
        /**
         * @dev Sets a `value` amount of tokens as the allowance of `spender` over the
         * caller's tokens and then calls {IERC1363Spender-onApprovalReceived} on `spender`.
         * @param spender The address which will spend the funds.
         * @param value The amount of tokens to be spent.
         * @return A boolean value indicating whether the operation succeeded unless throwing.
         */
        function approveAndCall(address spender, uint256 value) external returns (bool);
        /**
         * @dev Sets a `value` amount of tokens as the allowance of `spender` over the
         * caller's tokens and then calls {IERC1363Spender-onApprovalReceived} on `spender`.
         * @param spender The address which will spend the funds.
         * @param value The amount of tokens to be spent.
         * @param data Additional data with no specified format, sent in call to `spender`.
         * @return A boolean value indicating whether the operation succeeded unless throwing.
         */
        function approveAndCall(address spender, uint256 value, bytes calldata data) external returns (bool);
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.1.0) (utils/cryptography/MerkleProof.sol)
    // This file was procedurally generated from scripts/generate/templates/MerkleProof.js.
    pragma solidity ^0.8.20;
    import {Hashes} from "./Hashes.sol";
    /**
     * @dev These functions deal with verification of Merkle Tree proofs.
     *
     * The tree and the proofs can be generated using our
     * https://github.com/OpenZeppelin/merkle-tree[JavaScript library].
     * You will find a quickstart guide in the readme.
     *
     * WARNING: You should avoid using leaf values that are 64 bytes long prior to
     * hashing, or use a hash function other than keccak256 for hashing leaves.
     * This is because the concatenation of a sorted pair of internal nodes in
     * the Merkle tree could be reinterpreted as a leaf value.
     * OpenZeppelin's JavaScript library generates Merkle trees that are safe
     * against this attack out of the box.
     *
     * IMPORTANT: Consider memory side-effects when using custom hashing functions
     * that access memory in an unsafe way.
     *
     * NOTE: This library supports proof verification for merkle trees built using
     * custom _commutative_ hashing functions (i.e. `H(a, b) == H(b, a)`). Proving
     * leaf inclusion in trees built using non-commutative hashing functions requires
     * additional logic that is not supported by this library.
     */
    library MerkleProof {
        /**
         *@dev The multiproof provided is not valid.
         */
        error MerkleProofInvalidMultiproof();
        /**
         * @dev Returns true if a `leaf` can be proved to be a part of a Merkle tree
         * defined by `root`. For this, a `proof` must be provided, containing
         * sibling hashes on the branch from the leaf to the root of the tree. Each
         * pair of leaves and each pair of pre-images are assumed to be sorted.
         *
         * This version handles proofs in memory with the default hashing function.
         */
        function verify(bytes32[] memory proof, bytes32 root, bytes32 leaf) internal pure returns (bool) {
            return processProof(proof, leaf) == root;
        }
        /**
         * @dev Returns the rebuilt hash obtained by traversing a Merkle tree up
         * from `leaf` using `proof`. A `proof` is valid if and only if the rebuilt
         * hash matches the root of the tree. When processing the proof, the pairs
         * of leaves & pre-images are assumed to be sorted.
         *
         * This version handles proofs in memory with the default hashing function.
         */
        function processProof(bytes32[] memory proof, bytes32 leaf) internal pure returns (bytes32) {
            bytes32 computedHash = leaf;
            for (uint256 i = 0; i < proof.length; i++) {
                computedHash = Hashes.commutativeKeccak256(computedHash, proof[i]);
            }
            return computedHash;
        }
        /**
         * @dev Returns true if a `leaf` can be proved to be a part of a Merkle tree
         * defined by `root`. For this, a `proof` must be provided, containing
         * sibling hashes on the branch from the leaf to the root of the tree. Each
         * pair of leaves and each pair of pre-images are assumed to be sorted.
         *
         * This version handles proofs in memory with a custom hashing function.
         */
        function verify(
            bytes32[] memory proof,
            bytes32 root,
            bytes32 leaf,
            function(bytes32, bytes32) view returns (bytes32) hasher
        ) internal view returns (bool) {
            return processProof(proof, leaf, hasher) == root;
        }
        /**
         * @dev Returns the rebuilt hash obtained by traversing a Merkle tree up
         * from `leaf` using `proof`. A `proof` is valid if and only if the rebuilt
         * hash matches the root of the tree. When processing the proof, the pairs
         * of leaves & pre-images are assumed to be sorted.
         *
         * This version handles proofs in memory with a custom hashing function.
         */
        function processProof(
            bytes32[] memory proof,
            bytes32 leaf,
            function(bytes32, bytes32) view returns (bytes32) hasher
        ) internal view returns (bytes32) {
            bytes32 computedHash = leaf;
            for (uint256 i = 0; i < proof.length; i++) {
                computedHash = hasher(computedHash, proof[i]);
            }
            return computedHash;
        }
        /**
         * @dev Returns true if a `leaf` can be proved to be a part of a Merkle tree
         * defined by `root`. For this, a `proof` must be provided, containing
         * sibling hashes on the branch from the leaf to the root of the tree. Each
         * pair of leaves and each pair of pre-images are assumed to be sorted.
         *
         * This version handles proofs in calldata with the default hashing function.
         */
        function verifyCalldata(bytes32[] calldata proof, bytes32 root, bytes32 leaf) internal pure returns (bool) {
            return processProofCalldata(proof, leaf) == root;
        }
        /**
         * @dev Returns the rebuilt hash obtained by traversing a Merkle tree up
         * from `leaf` using `proof`. A `proof` is valid if and only if the rebuilt
         * hash matches the root of the tree. When processing the proof, the pairs
         * of leaves & pre-images are assumed to be sorted.
         *
         * This version handles proofs in calldata with the default hashing function.
         */
        function processProofCalldata(bytes32[] calldata proof, bytes32 leaf) internal pure returns (bytes32) {
            bytes32 computedHash = leaf;
            for (uint256 i = 0; i < proof.length; i++) {
                computedHash = Hashes.commutativeKeccak256(computedHash, proof[i]);
            }
            return computedHash;
        }
        /**
         * @dev Returns true if a `leaf` can be proved to be a part of a Merkle tree
         * defined by `root`. For this, a `proof` must be provided, containing
         * sibling hashes on the branch from the leaf to the root of the tree. Each
         * pair of leaves and each pair of pre-images are assumed to be sorted.
         *
         * This version handles proofs in calldata with a custom hashing function.
         */
        function verifyCalldata(
            bytes32[] calldata proof,
            bytes32 root,
            bytes32 leaf,
            function(bytes32, bytes32) view returns (bytes32) hasher
        ) internal view returns (bool) {
            return processProofCalldata(proof, leaf, hasher) == root;
        }
        /**
         * @dev Returns the rebuilt hash obtained by traversing a Merkle tree up
         * from `leaf` using `proof`. A `proof` is valid if and only if the rebuilt
         * hash matches the root of the tree. When processing the proof, the pairs
         * of leaves & pre-images are assumed to be sorted.
         *
         * This version handles proofs in calldata with a custom hashing function.
         */
        function processProofCalldata(
            bytes32[] calldata proof,
            bytes32 leaf,
            function(bytes32, bytes32) view returns (bytes32) hasher
        ) internal view returns (bytes32) {
            bytes32 computedHash = leaf;
            for (uint256 i = 0; i < proof.length; i++) {
                computedHash = hasher(computedHash, proof[i]);
            }
            return computedHash;
        }
        /**
         * @dev Returns true if the `leaves` can be simultaneously proven to be a part of a Merkle tree defined by
         * `root`, according to `proof` and `proofFlags` as described in {processMultiProof}.
         *
         * This version handles multiproofs in memory with the default hashing function.
         *
         * CAUTION: Not all Merkle trees admit multiproofs. See {processMultiProof} for details.
         *
         * NOTE: Consider the case where `root == proof[0] && leaves.length == 0` as it will return `true`.
         * The `leaves` must be validated independently. See {processMultiProof}.
         */
        function multiProofVerify(
            bytes32[] memory proof,
            bool[] memory proofFlags,
            bytes32 root,
            bytes32[] memory leaves
        ) internal pure returns (bool) {
            return processMultiProof(proof, proofFlags, leaves) == root;
        }
        /**
         * @dev Returns the root of a tree reconstructed from `leaves` and sibling nodes in `proof`. The reconstruction
         * proceeds by incrementally reconstructing all inner nodes by combining a leaf/inner node with either another
         * leaf/inner node or a proof sibling node, depending on whether each `proofFlags` item is true or false
         * respectively.
         *
         * This version handles multiproofs in memory with the default hashing function.
         *
         * CAUTION: Not all Merkle trees admit multiproofs. To use multiproofs, it is sufficient to ensure that: 1) the tree
         * is complete (but not necessarily perfect), 2) the leaves to be proven are in the opposite order they are in the
         * tree (i.e., as seen from right to left starting at the deepest layer and continuing at the next layer).
         *
         * NOTE: The _empty set_ (i.e. the case where `proof.length == 1 && leaves.length == 0`) is considered a no-op,
         * and therefore a valid multiproof (i.e. it returns `proof[0]`). Consider disallowing this case if you're not
         * validating the leaves elsewhere.
         */
        function processMultiProof(
            bytes32[] memory proof,
            bool[] memory proofFlags,
            bytes32[] memory leaves
        ) internal pure returns (bytes32 merkleRoot) {
            // This function rebuilds the root hash by traversing the tree up from the leaves. The root is rebuilt by
            // consuming and producing values on a queue. The queue starts with the `leaves` array, then goes onto the
            // `hashes` array. At the end of the process, the last hash in the `hashes` array should contain the root of
            // the Merkle tree.
            uint256 leavesLen = leaves.length;
            uint256 proofFlagsLen = proofFlags.length;
            // Check proof validity.
            if (leavesLen + proof.length != proofFlagsLen + 1) {
                revert MerkleProofInvalidMultiproof();
            }
            // The xxxPos values are "pointers" to the next value to consume in each array. All accesses are done using
            // `xxx[xxxPos++]`, which return the current value and increment the pointer, thus mimicking a queue's "pop".
            bytes32[] memory hashes = new bytes32[](proofFlagsLen);
            uint256 leafPos = 0;
            uint256 hashPos = 0;
            uint256 proofPos = 0;
            // At each step, we compute the next hash using two values:
            // - a value from the "main queue". If not all leaves have been consumed, we get the next leaf, otherwise we
            //   get the next hash.
            // - depending on the flag, either another value from the "main queue" (merging branches) or an element from the
            //   `proof` array.
            for (uint256 i = 0; i < proofFlagsLen; i++) {
                bytes32 a = leafPos < leavesLen ? leaves[leafPos++] : hashes[hashPos++];
                bytes32 b = proofFlags[i]
                    ? (leafPos < leavesLen ? leaves[leafPos++] : hashes[hashPos++])
                    : proof[proofPos++];
                hashes[i] = Hashes.commutativeKeccak256(a, b);
            }
            if (proofFlagsLen > 0) {
                if (proofPos != proof.length) {
                    revert MerkleProofInvalidMultiproof();
                }
                unchecked {
                    return hashes[proofFlagsLen - 1];
                }
            } else if (leavesLen > 0) {
                return leaves[0];
            } else {
                return proof[0];
            }
        }
        /**
         * @dev Returns true if the `leaves` can be simultaneously proven to be a part of a Merkle tree defined by
         * `root`, according to `proof` and `proofFlags` as described in {processMultiProof}.
         *
         * This version handles multiproofs in memory with a custom hashing function.
         *
         * CAUTION: Not all Merkle trees admit multiproofs. See {processMultiProof} for details.
         *
         * NOTE: Consider the case where `root == proof[0] && leaves.length == 0` as it will return `true`.
         * The `leaves` must be validated independently. See {processMultiProof}.
         */
        function multiProofVerify(
            bytes32[] memory proof,
            bool[] memory proofFlags,
            bytes32 root,
            bytes32[] memory leaves,
            function(bytes32, bytes32) view returns (bytes32) hasher
        ) internal view returns (bool) {
            return processMultiProof(proof, proofFlags, leaves, hasher) == root;
        }
        /**
         * @dev Returns the root of a tree reconstructed from `leaves` and sibling nodes in `proof`. The reconstruction
         * proceeds by incrementally reconstructing all inner nodes by combining a leaf/inner node with either another
         * leaf/inner node or a proof sibling node, depending on whether each `proofFlags` item is true or false
         * respectively.
         *
         * This version handles multiproofs in memory with a custom hashing function.
         *
         * CAUTION: Not all Merkle trees admit multiproofs. To use multiproofs, it is sufficient to ensure that: 1) the tree
         * is complete (but not necessarily perfect), 2) the leaves to be proven are in the opposite order they are in the
         * tree (i.e., as seen from right to left starting at the deepest layer and continuing at the next layer).
         *
         * NOTE: The _empty set_ (i.e. the case where `proof.length == 1 && leaves.length == 0`) is considered a no-op,
         * and therefore a valid multiproof (i.e. it returns `proof[0]`). Consider disallowing this case if you're not
         * validating the leaves elsewhere.
         */
        function processMultiProof(
            bytes32[] memory proof,
            bool[] memory proofFlags,
            bytes32[] memory leaves,
            function(bytes32, bytes32) view returns (bytes32) hasher
        ) internal view returns (bytes32 merkleRoot) {
            // This function rebuilds the root hash by traversing the tree up from the leaves. The root is rebuilt by
            // consuming and producing values on a queue. The queue starts with the `leaves` array, then goes onto the
            // `hashes` array. At the end of the process, the last hash in the `hashes` array should contain the root of
            // the Merkle tree.
            uint256 leavesLen = leaves.length;
            uint256 proofFlagsLen = proofFlags.length;
            // Check proof validity.
            if (leavesLen + proof.length != proofFlagsLen + 1) {
                revert MerkleProofInvalidMultiproof();
            }
            // The xxxPos values are "pointers" to the next value to consume in each array. All accesses are done using
            // `xxx[xxxPos++]`, which return the current value and increment the pointer, thus mimicking a queue's "pop".
            bytes32[] memory hashes = new bytes32[](proofFlagsLen);
            uint256 leafPos = 0;
            uint256 hashPos = 0;
            uint256 proofPos = 0;
            // At each step, we compute the next hash using two values:
            // - a value from the "main queue". If not all leaves have been consumed, we get the next leaf, otherwise we
            //   get the next hash.
            // - depending on the flag, either another value from the "main queue" (merging branches) or an element from the
            //   `proof` array.
            for (uint256 i = 0; i < proofFlagsLen; i++) {
                bytes32 a = leafPos < leavesLen ? leaves[leafPos++] : hashes[hashPos++];
                bytes32 b = proofFlags[i]
                    ? (leafPos < leavesLen ? leaves[leafPos++] : hashes[hashPos++])
                    : proof[proofPos++];
                hashes[i] = hasher(a, b);
            }
            if (proofFlagsLen > 0) {
                if (proofPos != proof.length) {
                    revert MerkleProofInvalidMultiproof();
                }
                unchecked {
                    return hashes[proofFlagsLen - 1];
                }
            } else if (leavesLen > 0) {
                return leaves[0];
            } else {
                return proof[0];
            }
        }
        /**
         * @dev Returns true if the `leaves` can be simultaneously proven to be a part of a Merkle tree defined by
         * `root`, according to `proof` and `proofFlags` as described in {processMultiProof}.
         *
         * This version handles multiproofs in calldata with the default hashing function.
         *
         * CAUTION: Not all Merkle trees admit multiproofs. See {processMultiProof} for details.
         *
         * NOTE: Consider the case where `root == proof[0] && leaves.length == 0` as it will return `true`.
         * The `leaves` must be validated independently. See {processMultiProofCalldata}.
         */
        function multiProofVerifyCalldata(
            bytes32[] calldata proof,
            bool[] calldata proofFlags,
            bytes32 root,
            bytes32[] memory leaves
        ) internal pure returns (bool) {
            return processMultiProofCalldata(proof, proofFlags, leaves) == root;
        }
        /**
         * @dev Returns the root of a tree reconstructed from `leaves` and sibling nodes in `proof`. The reconstruction
         * proceeds by incrementally reconstructing all inner nodes by combining a leaf/inner node with either another
         * leaf/inner node or a proof sibling node, depending on whether each `proofFlags` item is true or false
         * respectively.
         *
         * This version handles multiproofs in calldata with the default hashing function.
         *
         * CAUTION: Not all Merkle trees admit multiproofs. To use multiproofs, it is sufficient to ensure that: 1) the tree
         * is complete (but not necessarily perfect), 2) the leaves to be proven are in the opposite order they are in the
         * tree (i.e., as seen from right to left starting at the deepest layer and continuing at the next layer).
         *
         * NOTE: The _empty set_ (i.e. the case where `proof.length == 1 && leaves.length == 0`) is considered a no-op,
         * and therefore a valid multiproof (i.e. it returns `proof[0]`). Consider disallowing this case if you're not
         * validating the leaves elsewhere.
         */
        function processMultiProofCalldata(
            bytes32[] calldata proof,
            bool[] calldata proofFlags,
            bytes32[] memory leaves
        ) internal pure returns (bytes32 merkleRoot) {
            // This function rebuilds the root hash by traversing the tree up from the leaves. The root is rebuilt by
            // consuming and producing values on a queue. The queue starts with the `leaves` array, then goes onto the
            // `hashes` array. At the end of the process, the last hash in the `hashes` array should contain the root of
            // the Merkle tree.
            uint256 leavesLen = leaves.length;
            uint256 proofFlagsLen = proofFlags.length;
            // Check proof validity.
            if (leavesLen + proof.length != proofFlagsLen + 1) {
                revert MerkleProofInvalidMultiproof();
            }
            // The xxxPos values are "pointers" to the next value to consume in each array. All accesses are done using
            // `xxx[xxxPos++]`, which return the current value and increment the pointer, thus mimicking a queue's "pop".
            bytes32[] memory hashes = new bytes32[](proofFlagsLen);
            uint256 leafPos = 0;
            uint256 hashPos = 0;
            uint256 proofPos = 0;
            // At each step, we compute the next hash using two values:
            // - a value from the "main queue". If not all leaves have been consumed, we get the next leaf, otherwise we
            //   get the next hash.
            // - depending on the flag, either another value from the "main queue" (merging branches) or an element from the
            //   `proof` array.
            for (uint256 i = 0; i < proofFlagsLen; i++) {
                bytes32 a = leafPos < leavesLen ? leaves[leafPos++] : hashes[hashPos++];
                bytes32 b = proofFlags[i]
                    ? (leafPos < leavesLen ? leaves[leafPos++] : hashes[hashPos++])
                    : proof[proofPos++];
                hashes[i] = Hashes.commutativeKeccak256(a, b);
            }
            if (proofFlagsLen > 0) {
                if (proofPos != proof.length) {
                    revert MerkleProofInvalidMultiproof();
                }
                unchecked {
                    return hashes[proofFlagsLen - 1];
                }
            } else if (leavesLen > 0) {
                return leaves[0];
            } else {
                return proof[0];
            }
        }
        /**
         * @dev Returns true if the `leaves` can be simultaneously proven to be a part of a Merkle tree defined by
         * `root`, according to `proof` and `proofFlags` as described in {processMultiProof}.
         *
         * This version handles multiproofs in calldata with a custom hashing function.
         *
         * CAUTION: Not all Merkle trees admit multiproofs. See {processMultiProof} for details.
         *
         * NOTE: Consider the case where `root == proof[0] && leaves.length == 0` as it will return `true`.
         * The `leaves` must be validated independently. See {processMultiProofCalldata}.
         */
        function multiProofVerifyCalldata(
            bytes32[] calldata proof,
            bool[] calldata proofFlags,
            bytes32 root,
            bytes32[] memory leaves,
            function(bytes32, bytes32) view returns (bytes32) hasher
        ) internal view returns (bool) {
            return processMultiProofCalldata(proof, proofFlags, leaves, hasher) == root;
        }
        /**
         * @dev Returns the root of a tree reconstructed from `leaves` and sibling nodes in `proof`. The reconstruction
         * proceeds by incrementally reconstructing all inner nodes by combining a leaf/inner node with either another
         * leaf/inner node or a proof sibling node, depending on whether each `proofFlags` item is true or false
         * respectively.
         *
         * This version handles multiproofs in calldata with a custom hashing function.
         *
         * CAUTION: Not all Merkle trees admit multiproofs. To use multiproofs, it is sufficient to ensure that: 1) the tree
         * is complete (but not necessarily perfect), 2) the leaves to be proven are in the opposite order they are in the
         * tree (i.e., as seen from right to left starting at the deepest layer and continuing at the next layer).
         *
         * NOTE: The _empty set_ (i.e. the case where `proof.length == 1 && leaves.length == 0`) is considered a no-op,
         * and therefore a valid multiproof (i.e. it returns `proof[0]`). Consider disallowing this case if you're not
         * validating the leaves elsewhere.
         */
        function processMultiProofCalldata(
            bytes32[] calldata proof,
            bool[] calldata proofFlags,
            bytes32[] memory leaves,
            function(bytes32, bytes32) view returns (bytes32) hasher
        ) internal view returns (bytes32 merkleRoot) {
            // This function rebuilds the root hash by traversing the tree up from the leaves. The root is rebuilt by
            // consuming and producing values on a queue. The queue starts with the `leaves` array, then goes onto the
            // `hashes` array. At the end of the process, the last hash in the `hashes` array should contain the root of
            // the Merkle tree.
            uint256 leavesLen = leaves.length;
            uint256 proofFlagsLen = proofFlags.length;
            // Check proof validity.
            if (leavesLen + proof.length != proofFlagsLen + 1) {
                revert MerkleProofInvalidMultiproof();
            }
            // The xxxPos values are "pointers" to the next value to consume in each array. All accesses are done using
            // `xxx[xxxPos++]`, which return the current value and increment the pointer, thus mimicking a queue's "pop".
            bytes32[] memory hashes = new bytes32[](proofFlagsLen);
            uint256 leafPos = 0;
            uint256 hashPos = 0;
            uint256 proofPos = 0;
            // At each step, we compute the next hash using two values:
            // - a value from the "main queue". If not all leaves have been consumed, we get the next leaf, otherwise we
            //   get the next hash.
            // - depending on the flag, either another value from the "main queue" (merging branches) or an element from the
            //   `proof` array.
            for (uint256 i = 0; i < proofFlagsLen; i++) {
                bytes32 a = leafPos < leavesLen ? leaves[leafPos++] : hashes[hashPos++];
                bytes32 b = proofFlags[i]
                    ? (leafPos < leavesLen ? leaves[leafPos++] : hashes[hashPos++])
                    : proof[proofPos++];
                hashes[i] = hasher(a, b);
            }
            if (proofFlagsLen > 0) {
                if (proofPos != proof.length) {
                    revert MerkleProofInvalidMultiproof();
                }
                unchecked {
                    return hashes[proofFlagsLen - 1];
                }
            } else if (leavesLen > 0) {
                return leaves[0];
            } else {
                return proof[0];
            }
        }
    }
    // SPDX-License-Identifier: MIT
    pragma solidity 0.8.28;
    // Allows anyone to claim SXT tokens if they exist in a merkle root.
    interface ISXTTokenDistributor {
        // Returns the address of the SXT token distributed by this contract.
        function token() external view returns (address tokenAddress);
        // Returns the merkle root of the merkle tree containing account balances available to claim.
        function merkleRoot() external view returns (bytes32 root);
        // Returns true if the index has been marked claimed.
        function isClaimed(uint256 index) external view returns (bool claimed);
        // Claim the given amount of the token to the given address. Reverts if the inputs are invalid.
        function claim(uint256 index, address account, uint256 amount, bytes32[] calldata merkleProof) external;
        // This event is triggered whenever a call to #claim succeeds.
        event Claimed(uint256 indexed index, address indexed account, uint256 indexed amount);
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.0.0) (interfaces/IERC20.sol)
    pragma solidity ^0.8.20;
    import {IERC20} from "../token/ERC20/IERC20.sol";
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.0.0) (interfaces/IERC165.sol)
    pragma solidity ^0.8.20;
    import {IERC165} from "../utils/introspection/IERC165.sol";
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.1.0) (utils/cryptography/Hashes.sol)
    pragma solidity ^0.8.20;
    /**
     * @dev Library of standard hash functions.
     *
     * _Available since v5.1._
     */
    library Hashes {
        /**
         * @dev Commutative Keccak256 hash of a sorted pair of bytes32. Frequently used when working with merkle proofs.
         *
         * NOTE: Equivalent to the `standardNodeHash` in our https://github.com/OpenZeppelin/merkle-tree[JavaScript library].
         */
        function commutativeKeccak256(bytes32 a, bytes32 b) internal pure returns (bytes32) {
            return a < b ? _efficientKeccak256(a, b) : _efficientKeccak256(b, a);
        }
        /**
         * @dev Implementation of keccak256(abi.encode(a, b)) that doesn't allocate or expand memory.
         */
        function _efficientKeccak256(bytes32 a, bytes32 b) private pure returns (bytes32 value) {
            assembly ("memory-safe") {
                mstore(0x00, a)
                mstore(0x20, b)
                value := keccak256(0x00, 0x40)
            }
        }
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.1.0) (utils/introspection/IERC165.sol)
    pragma solidity ^0.8.20;
    /**
     * @dev Interface of the ERC-165 standard, as defined in the
     * https://eips.ethereum.org/EIPS/eip-165[ERC].
     *
     * Implementers can declare support of contract interfaces, which can then be
     * queried by others ({ERC165Checker}).
     *
     * For an implementation, see {ERC165}.
     */
    interface IERC165 {
        /**
         * @dev Returns true if this contract implements the interface defined by
         * `interfaceId`. See the corresponding
         * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[ERC section]
         * to learn more about how these ids are created.
         *
         * This function call must use less than 30 000 gas.
         */
        function supportsInterface(bytes4 interfaceId) external view returns (bool);
    }
    

    File 2 of 2: SpaceAndTime
    // SPDX-License-Identifier: MIT
    pragma solidity 0.8.28;
    import {AccessControl} from "@openzeppelin/contracts/access/AccessControl.sol";
    import {ERC20} from "@openzeppelin/contracts/token/ERC20/ERC20.sol";
    import {ERC20Pausable} from "@openzeppelin/contracts/token/ERC20/extensions/ERC20Pausable.sol";
    import {ERC20Permit} from "@openzeppelin/contracts/token/ERC20/extensions/ERC20Permit.sol";
    import {ERC20Votes} from "@openzeppelin/contracts/token/ERC20/extensions/ERC20Votes.sol";
    import {Nonces} from "@openzeppelin/contracts/utils/Nonces.sol";
    contract SpaceAndTime is ERC20, ERC20Pausable, AccessControl, ERC20Permit, ERC20Votes {
        bytes32 public constant PAUSER_ROLE = keccak256("PAUSER_ROLE");
        constructor(address defaultAdmin, address pauser, address recipient)
            ERC20("Space and Time", "SXT")
            ERC20Permit("Space and Time")
        {
            _grantRole(DEFAULT_ADMIN_ROLE, defaultAdmin);
            _grantRole(PAUSER_ROLE, pauser);
            _mint(recipient, 5_000_000_000 * 10 ** decimals());
        }
        function pause() public onlyRole(PAUSER_ROLE) {
            _pause();
        }
        function unpause() public onlyRole(PAUSER_ROLE) {
            _unpause();
        }
        function _update(address from, address to, uint256 value) internal override(ERC20, ERC20Pausable, ERC20Votes) {
            super._update(from, to, value);
        }
        function nonces(address owner) public view override(ERC20Permit, Nonces) returns (uint256) {
            return super.nonces(owner);
        }
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.0.0) (access/AccessControl.sol)
    pragma solidity ^0.8.20;
    import {IAccessControl} from "./IAccessControl.sol";
    import {Context} from "../utils/Context.sol";
    import {ERC165} from "../utils/introspection/ERC165.sol";
    /**
     * @dev Contract module that allows children to implement role-based access
     * control mechanisms. This is a lightweight version that doesn't allow enumerating role
     * members except through off-chain means by accessing the contract event logs. Some
     * applications may benefit from on-chain enumerability, for those cases see
     * {AccessControlEnumerable}.
     *
     * Roles are referred to by their `bytes32` identifier. These should be exposed
     * in the external API and be unique. The best way to achieve this is by
     * using `public constant` hash digests:
     *
     * ```solidity
     * bytes32 public constant MY_ROLE = keccak256("MY_ROLE");
     * ```
     *
     * Roles can be used to represent a set of permissions. To restrict access to a
     * function call, use {hasRole}:
     *
     * ```solidity
     * function foo() public {
     *     require(hasRole(MY_ROLE, msg.sender));
     *     ...
     * }
     * ```
     *
     * Roles can be granted and revoked dynamically via the {grantRole} and
     * {revokeRole} functions. Each role has an associated admin role, and only
     * accounts that have a role's admin role can call {grantRole} and {revokeRole}.
     *
     * By default, the admin role for all roles is `DEFAULT_ADMIN_ROLE`, which means
     * that only accounts with this role will be able to grant or revoke other
     * roles. More complex role relationships can be created by using
     * {_setRoleAdmin}.
     *
     * WARNING: The `DEFAULT_ADMIN_ROLE` is also its own admin: it has permission to
     * grant and revoke this role. Extra precautions should be taken to secure
     * accounts that have been granted it. We recommend using {AccessControlDefaultAdminRules}
     * to enforce additional security measures for this role.
     */
    abstract contract AccessControl is Context, IAccessControl, ERC165 {
        struct RoleData {
            mapping(address account => bool) hasRole;
            bytes32 adminRole;
        }
        mapping(bytes32 role => RoleData) private _roles;
        bytes32 public constant DEFAULT_ADMIN_ROLE = 0x00;
        /**
         * @dev Modifier that checks that an account has a specific role. Reverts
         * with an {AccessControlUnauthorizedAccount} error including the required role.
         */
        modifier onlyRole(bytes32 role) {
            _checkRole(role);
            _;
        }
        /**
         * @dev See {IERC165-supportsInterface}.
         */
        function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
            return interfaceId == type(IAccessControl).interfaceId || super.supportsInterface(interfaceId);
        }
        /**
         * @dev Returns `true` if `account` has been granted `role`.
         */
        function hasRole(bytes32 role, address account) public view virtual returns (bool) {
            return _roles[role].hasRole[account];
        }
        /**
         * @dev Reverts with an {AccessControlUnauthorizedAccount} error if `_msgSender()`
         * is missing `role`. Overriding this function changes the behavior of the {onlyRole} modifier.
         */
        function _checkRole(bytes32 role) internal view virtual {
            _checkRole(role, _msgSender());
        }
        /**
         * @dev Reverts with an {AccessControlUnauthorizedAccount} error if `account`
         * is missing `role`.
         */
        function _checkRole(bytes32 role, address account) internal view virtual {
            if (!hasRole(role, account)) {
                revert AccessControlUnauthorizedAccount(account, role);
            }
        }
        /**
         * @dev Returns the admin role that controls `role`. See {grantRole} and
         * {revokeRole}.
         *
         * To change a role's admin, use {_setRoleAdmin}.
         */
        function getRoleAdmin(bytes32 role) public view virtual returns (bytes32) {
            return _roles[role].adminRole;
        }
        /**
         * @dev Grants `role` to `account`.
         *
         * If `account` had not been already granted `role`, emits a {RoleGranted}
         * event.
         *
         * Requirements:
         *
         * - the caller must have ``role``'s admin role.
         *
         * May emit a {RoleGranted} event.
         */
        function grantRole(bytes32 role, address account) public virtual onlyRole(getRoleAdmin(role)) {
            _grantRole(role, account);
        }
        /**
         * @dev Revokes `role` from `account`.
         *
         * If `account` had been granted `role`, emits a {RoleRevoked} event.
         *
         * Requirements:
         *
         * - the caller must have ``role``'s admin role.
         *
         * May emit a {RoleRevoked} event.
         */
        function revokeRole(bytes32 role, address account) public virtual onlyRole(getRoleAdmin(role)) {
            _revokeRole(role, account);
        }
        /**
         * @dev Revokes `role` from the calling account.
         *
         * Roles are often managed via {grantRole} and {revokeRole}: this function's
         * purpose is to provide a mechanism for accounts to lose their privileges
         * if they are compromised (such as when a trusted device is misplaced).
         *
         * If the calling account had been revoked `role`, emits a {RoleRevoked}
         * event.
         *
         * Requirements:
         *
         * - the caller must be `callerConfirmation`.
         *
         * May emit a {RoleRevoked} event.
         */
        function renounceRole(bytes32 role, address callerConfirmation) public virtual {
            if (callerConfirmation != _msgSender()) {
                revert AccessControlBadConfirmation();
            }
            _revokeRole(role, callerConfirmation);
        }
        /**
         * @dev Sets `adminRole` as ``role``'s admin role.
         *
         * Emits a {RoleAdminChanged} event.
         */
        function _setRoleAdmin(bytes32 role, bytes32 adminRole) internal virtual {
            bytes32 previousAdminRole = getRoleAdmin(role);
            _roles[role].adminRole = adminRole;
            emit RoleAdminChanged(role, previousAdminRole, adminRole);
        }
        /**
         * @dev Attempts to grant `role` to `account` and returns a boolean indicating if `role` was granted.
         *
         * Internal function without access restriction.
         *
         * May emit a {RoleGranted} event.
         */
        function _grantRole(bytes32 role, address account) internal virtual returns (bool) {
            if (!hasRole(role, account)) {
                _roles[role].hasRole[account] = true;
                emit RoleGranted(role, account, _msgSender());
                return true;
            } else {
                return false;
            }
        }
        /**
         * @dev Attempts to revoke `role` to `account` and returns a boolean indicating if `role` was revoked.
         *
         * Internal function without access restriction.
         *
         * May emit a {RoleRevoked} event.
         */
        function _revokeRole(bytes32 role, address account) internal virtual returns (bool) {
            if (hasRole(role, account)) {
                _roles[role].hasRole[account] = false;
                emit RoleRevoked(role, account, _msgSender());
                return true;
            } else {
                return false;
            }
        }
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.2.0) (token/ERC20/ERC20.sol)
    pragma solidity ^0.8.20;
    import {IERC20} from "./IERC20.sol";
    import {IERC20Metadata} from "./extensions/IERC20Metadata.sol";
    import {Context} from "../../utils/Context.sol";
    import {IERC20Errors} from "../../interfaces/draft-IERC6093.sol";
    /**
     * @dev Implementation of the {IERC20} interface.
     *
     * This implementation is agnostic to the way tokens are created. This means
     * that a supply mechanism has to be added in a derived contract using {_mint}.
     *
     * TIP: For a detailed writeup see our guide
     * https://forum.openzeppelin.com/t/how-to-implement-erc20-supply-mechanisms/226[How
     * to implement supply mechanisms].
     *
     * The default value of {decimals} is 18. To change this, you should override
     * this function so it returns a different value.
     *
     * We have followed general OpenZeppelin Contracts guidelines: functions revert
     * instead returning `false` on failure. This behavior is nonetheless
     * conventional and does not conflict with the expectations of ERC-20
     * applications.
     */
    abstract contract ERC20 is Context, IERC20, IERC20Metadata, IERC20Errors {
        mapping(address account => uint256) private _balances;
        mapping(address account => mapping(address spender => uint256)) private _allowances;
        uint256 private _totalSupply;
        string private _name;
        string private _symbol;
        /**
         * @dev Sets the values for {name} and {symbol}.
         *
         * All two of these values are immutable: they can only be set once during
         * construction.
         */
        constructor(string memory name_, string memory symbol_) {
            _name = name_;
            _symbol = symbol_;
        }
        /**
         * @dev Returns the name of the token.
         */
        function name() public view virtual returns (string memory) {
            return _name;
        }
        /**
         * @dev Returns the symbol of the token, usually a shorter version of the
         * name.
         */
        function symbol() public view virtual returns (string memory) {
            return _symbol;
        }
        /**
         * @dev Returns the number of decimals used to get its user representation.
         * For example, if `decimals` equals `2`, a balance of `505` tokens should
         * be displayed to a user as `5.05` (`505 / 10 ** 2`).
         *
         * Tokens usually opt for a value of 18, imitating the relationship between
         * Ether and Wei. This is the default value returned by this function, unless
         * it's overridden.
         *
         * NOTE: This information is only used for _display_ purposes: it in
         * no way affects any of the arithmetic of the contract, including
         * {IERC20-balanceOf} and {IERC20-transfer}.
         */
        function decimals() public view virtual returns (uint8) {
            return 18;
        }
        /**
         * @dev See {IERC20-totalSupply}.
         */
        function totalSupply() public view virtual returns (uint256) {
            return _totalSupply;
        }
        /**
         * @dev See {IERC20-balanceOf}.
         */
        function balanceOf(address account) public view virtual returns (uint256) {
            return _balances[account];
        }
        /**
         * @dev See {IERC20-transfer}.
         *
         * Requirements:
         *
         * - `to` cannot be the zero address.
         * - the caller must have a balance of at least `value`.
         */
        function transfer(address to, uint256 value) public virtual returns (bool) {
            address owner = _msgSender();
            _transfer(owner, to, value);
            return true;
        }
        /**
         * @dev See {IERC20-allowance}.
         */
        function allowance(address owner, address spender) public view virtual returns (uint256) {
            return _allowances[owner][spender];
        }
        /**
         * @dev See {IERC20-approve}.
         *
         * NOTE: If `value` is the maximum `uint256`, the allowance is not updated on
         * `transferFrom`. This is semantically equivalent to an infinite approval.
         *
         * Requirements:
         *
         * - `spender` cannot be the zero address.
         */
        function approve(address spender, uint256 value) public virtual returns (bool) {
            address owner = _msgSender();
            _approve(owner, spender, value);
            return true;
        }
        /**
         * @dev See {IERC20-transferFrom}.
         *
         * Skips emitting an {Approval} event indicating an allowance update. This is not
         * required by the ERC. See {xref-ERC20-_approve-address-address-uint256-bool-}[_approve].
         *
         * NOTE: Does not update the allowance if the current allowance
         * is the maximum `uint256`.
         *
         * Requirements:
         *
         * - `from` and `to` cannot be the zero address.
         * - `from` must have a balance of at least `value`.
         * - the caller must have allowance for ``from``'s tokens of at least
         * `value`.
         */
        function transferFrom(address from, address to, uint256 value) public virtual returns (bool) {
            address spender = _msgSender();
            _spendAllowance(from, spender, value);
            _transfer(from, to, value);
            return true;
        }
        /**
         * @dev Moves a `value` amount of tokens from `from` to `to`.
         *
         * This internal function is equivalent to {transfer}, and can be used to
         * e.g. implement automatic token fees, slashing mechanisms, etc.
         *
         * Emits a {Transfer} event.
         *
         * NOTE: This function is not virtual, {_update} should be overridden instead.
         */
        function _transfer(address from, address to, uint256 value) internal {
            if (from == address(0)) {
                revert ERC20InvalidSender(address(0));
            }
            if (to == address(0)) {
                revert ERC20InvalidReceiver(address(0));
            }
            _update(from, to, value);
        }
        /**
         * @dev Transfers a `value` amount of tokens from `from` to `to`, or alternatively mints (or burns) if `from`
         * (or `to`) is the zero address. All customizations to transfers, mints, and burns should be done by overriding
         * this function.
         *
         * Emits a {Transfer} event.
         */
        function _update(address from, address to, uint256 value) internal virtual {
            if (from == address(0)) {
                // Overflow check required: The rest of the code assumes that totalSupply never overflows
                _totalSupply += value;
            } else {
                uint256 fromBalance = _balances[from];
                if (fromBalance < value) {
                    revert ERC20InsufficientBalance(from, fromBalance, value);
                }
                unchecked {
                    // Overflow not possible: value <= fromBalance <= totalSupply.
                    _balances[from] = fromBalance - value;
                }
            }
            if (to == address(0)) {
                unchecked {
                    // Overflow not possible: value <= totalSupply or value <= fromBalance <= totalSupply.
                    _totalSupply -= value;
                }
            } else {
                unchecked {
                    // Overflow not possible: balance + value is at most totalSupply, which we know fits into a uint256.
                    _balances[to] += value;
                }
            }
            emit Transfer(from, to, value);
        }
        /**
         * @dev Creates a `value` amount of tokens and assigns them to `account`, by transferring it from address(0).
         * Relies on the `_update` mechanism
         *
         * Emits a {Transfer} event with `from` set to the zero address.
         *
         * NOTE: This function is not virtual, {_update} should be overridden instead.
         */
        function _mint(address account, uint256 value) internal {
            if (account == address(0)) {
                revert ERC20InvalidReceiver(address(0));
            }
            _update(address(0), account, value);
        }
        /**
         * @dev Destroys a `value` amount of tokens from `account`, lowering the total supply.
         * Relies on the `_update` mechanism.
         *
         * Emits a {Transfer} event with `to` set to the zero address.
         *
         * NOTE: This function is not virtual, {_update} should be overridden instead
         */
        function _burn(address account, uint256 value) internal {
            if (account == address(0)) {
                revert ERC20InvalidSender(address(0));
            }
            _update(account, address(0), value);
        }
        /**
         * @dev Sets `value` as the allowance of `spender` over the `owner` s tokens.
         *
         * This internal function is equivalent to `approve`, and can be used to
         * e.g. set automatic allowances for certain subsystems, etc.
         *
         * Emits an {Approval} event.
         *
         * Requirements:
         *
         * - `owner` cannot be the zero address.
         * - `spender` cannot be the zero address.
         *
         * Overrides to this logic should be done to the variant with an additional `bool emitEvent` argument.
         */
        function _approve(address owner, address spender, uint256 value) internal {
            _approve(owner, spender, value, true);
        }
        /**
         * @dev Variant of {_approve} with an optional flag to enable or disable the {Approval} event.
         *
         * By default (when calling {_approve}) the flag is set to true. On the other hand, approval changes made by
         * `_spendAllowance` during the `transferFrom` operation set the flag to false. This saves gas by not emitting any
         * `Approval` event during `transferFrom` operations.
         *
         * Anyone who wishes to continue emitting `Approval` events on the`transferFrom` operation can force the flag to
         * true using the following override:
         *
         * ```solidity
         * function _approve(address owner, address spender, uint256 value, bool) internal virtual override {
         *     super._approve(owner, spender, value, true);
         * }
         * ```
         *
         * Requirements are the same as {_approve}.
         */
        function _approve(address owner, address spender, uint256 value, bool emitEvent) internal virtual {
            if (owner == address(0)) {
                revert ERC20InvalidApprover(address(0));
            }
            if (spender == address(0)) {
                revert ERC20InvalidSpender(address(0));
            }
            _allowances[owner][spender] = value;
            if (emitEvent) {
                emit Approval(owner, spender, value);
            }
        }
        /**
         * @dev Updates `owner` s allowance for `spender` based on spent `value`.
         *
         * Does not update the allowance value in case of infinite allowance.
         * Revert if not enough allowance is available.
         *
         * Does not emit an {Approval} event.
         */
        function _spendAllowance(address owner, address spender, uint256 value) internal virtual {
            uint256 currentAllowance = allowance(owner, spender);
            if (currentAllowance < type(uint256).max) {
                if (currentAllowance < value) {
                    revert ERC20InsufficientAllowance(spender, currentAllowance, value);
                }
                unchecked {
                    _approve(owner, spender, currentAllowance - value, false);
                }
            }
        }
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.1.0) (token/ERC20/extensions/ERC20Pausable.sol)
    pragma solidity ^0.8.20;
    import {ERC20} from "../ERC20.sol";
    import {Pausable} from "../../../utils/Pausable.sol";
    /**
     * @dev ERC-20 token with pausable token transfers, minting and burning.
     *
     * Useful for scenarios such as preventing trades until the end of an evaluation
     * period, or having an emergency switch for freezing all token transfers in the
     * event of a large bug.
     *
     * IMPORTANT: This contract does not include public pause and unpause functions. In
     * addition to inheriting this contract, you must define both functions, invoking the
     * {Pausable-_pause} and {Pausable-_unpause} internal functions, with appropriate
     * access control, e.g. using {AccessControl} or {Ownable}. Not doing so will
     * make the contract pause mechanism of the contract unreachable, and thus unusable.
     */
    abstract contract ERC20Pausable is ERC20, Pausable {
        /**
         * @dev See {ERC20-_update}.
         *
         * Requirements:
         *
         * - the contract must not be paused.
         */
        function _update(address from, address to, uint256 value) internal virtual override whenNotPaused {
            super._update(from, to, value);
        }
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.1.0) (token/ERC20/extensions/ERC20Permit.sol)
    pragma solidity ^0.8.20;
    import {IERC20Permit} from "./IERC20Permit.sol";
    import {ERC20} from "../ERC20.sol";
    import {ECDSA} from "../../../utils/cryptography/ECDSA.sol";
    import {EIP712} from "../../../utils/cryptography/EIP712.sol";
    import {Nonces} from "../../../utils/Nonces.sol";
    /**
     * @dev Implementation of the ERC-20 Permit extension allowing approvals to be made via signatures, as defined in
     * https://eips.ethereum.org/EIPS/eip-2612[ERC-2612].
     *
     * Adds the {permit} method, which can be used to change an account's ERC-20 allowance (see {IERC20-allowance}) by
     * presenting a message signed by the account. By not relying on `{IERC20-approve}`, the token holder account doesn't
     * need to send a transaction, and thus is not required to hold Ether at all.
     */
    abstract contract ERC20Permit is ERC20, IERC20Permit, EIP712, Nonces {
        bytes32 private constant PERMIT_TYPEHASH =
            keccak256("Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)");
        /**
         * @dev Permit deadline has expired.
         */
        error ERC2612ExpiredSignature(uint256 deadline);
        /**
         * @dev Mismatched signature.
         */
        error ERC2612InvalidSigner(address signer, address owner);
        /**
         * @dev Initializes the {EIP712} domain separator using the `name` parameter, and setting `version` to `"1"`.
         *
         * It's a good idea to use the same `name` that is defined as the ERC-20 token name.
         */
        constructor(string memory name) EIP712(name, "1") {}
        /**
         * @inheritdoc IERC20Permit
         */
        function permit(
            address owner,
            address spender,
            uint256 value,
            uint256 deadline,
            uint8 v,
            bytes32 r,
            bytes32 s
        ) public virtual {
            if (block.timestamp > deadline) {
                revert ERC2612ExpiredSignature(deadline);
            }
            bytes32 structHash = keccak256(abi.encode(PERMIT_TYPEHASH, owner, spender, value, _useNonce(owner), deadline));
            bytes32 hash = _hashTypedDataV4(structHash);
            address signer = ECDSA.recover(hash, v, r, s);
            if (signer != owner) {
                revert ERC2612InvalidSigner(signer, owner);
            }
            _approve(owner, spender, value);
        }
        /**
         * @inheritdoc IERC20Permit
         */
        function nonces(address owner) public view virtual override(IERC20Permit, Nonces) returns (uint256) {
            return super.nonces(owner);
        }
        /**
         * @inheritdoc IERC20Permit
         */
        // solhint-disable-next-line func-name-mixedcase
        function DOMAIN_SEPARATOR() external view virtual returns (bytes32) {
            return _domainSeparatorV4();
        }
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.1.0) (token/ERC20/extensions/ERC20Votes.sol)
    pragma solidity ^0.8.20;
    import {ERC20} from "../ERC20.sol";
    import {Votes} from "../../../governance/utils/Votes.sol";
    import {Checkpoints} from "../../../utils/structs/Checkpoints.sol";
    /**
     * @dev Extension of ERC-20 to support Compound-like voting and delegation. This version is more generic than Compound's,
     * and supports token supply up to 2^208^ - 1, while COMP is limited to 2^96^ - 1.
     *
     * NOTE: This contract does not provide interface compatibility with Compound's COMP token.
     *
     * This extension keeps a history (checkpoints) of each account's vote power. Vote power can be delegated either
     * by calling the {Votes-delegate} function directly, or by providing a signature to be used with {Votes-delegateBySig}. Voting
     * power can be queried through the public accessors {Votes-getVotes} and {Votes-getPastVotes}.
     *
     * By default, token balance does not account for voting power. This makes transfers cheaper. The downside is that it
     * requires users to delegate to themselves in order to activate checkpoints and have their voting power tracked.
     */
    abstract contract ERC20Votes is ERC20, Votes {
        /**
         * @dev Total supply cap has been exceeded, introducing a risk of votes overflowing.
         */
        error ERC20ExceededSafeSupply(uint256 increasedSupply, uint256 cap);
        /**
         * @dev Maximum token supply. Defaults to `type(uint208).max` (2^208^ - 1).
         *
         * This maximum is enforced in {_update}. It limits the total supply of the token, which is otherwise a uint256,
         * so that checkpoints can be stored in the Trace208 structure used by {Votes}. Increasing this value will not
         * remove the underlying limitation, and will cause {_update} to fail because of a math overflow in
         * {Votes-_transferVotingUnits}. An override could be used to further restrict the total supply (to a lower value) if
         * additional logic requires it. When resolving override conflicts on this function, the minimum should be
         * returned.
         */
        function _maxSupply() internal view virtual returns (uint256) {
            return type(uint208).max;
        }
        /**
         * @dev Move voting power when tokens are transferred.
         *
         * Emits a {IVotes-DelegateVotesChanged} event.
         */
        function _update(address from, address to, uint256 value) internal virtual override {
            super._update(from, to, value);
            if (from == address(0)) {
                uint256 supply = totalSupply();
                uint256 cap = _maxSupply();
                if (supply > cap) {
                    revert ERC20ExceededSafeSupply(supply, cap);
                }
            }
            _transferVotingUnits(from, to, value);
        }
        /**
         * @dev Returns the voting units of an `account`.
         *
         * WARNING: Overriding this function may compromise the internal vote accounting.
         * `ERC20Votes` assumes tokens map to voting units 1:1 and this is not easy to change.
         */
        function _getVotingUnits(address account) internal view virtual override returns (uint256) {
            return balanceOf(account);
        }
        /**
         * @dev Get number of checkpoints for `account`.
         */
        function numCheckpoints(address account) public view virtual returns (uint32) {
            return _numCheckpoints(account);
        }
        /**
         * @dev Get the `pos`-th checkpoint for `account`.
         */
        function checkpoints(address account, uint32 pos) public view virtual returns (Checkpoints.Checkpoint208 memory) {
            return _checkpoints(account, pos);
        }
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.0.0) (utils/Nonces.sol)
    pragma solidity ^0.8.20;
    /**
     * @dev Provides tracking nonces for addresses. Nonces will only increment.
     */
    abstract contract Nonces {
        /**
         * @dev The nonce used for an `account` is not the expected current nonce.
         */
        error InvalidAccountNonce(address account, uint256 currentNonce);
        mapping(address account => uint256) private _nonces;
        /**
         * @dev Returns the next unused nonce for an address.
         */
        function nonces(address owner) public view virtual returns (uint256) {
            return _nonces[owner];
        }
        /**
         * @dev Consumes a nonce.
         *
         * Returns the current value and increments nonce.
         */
        function _useNonce(address owner) internal virtual returns (uint256) {
            // For each account, the nonce has an initial value of 0, can only be incremented by one, and cannot be
            // decremented or reset. This guarantees that the nonce never overflows.
            unchecked {
                // It is important to do x++ and not ++x here.
                return _nonces[owner]++;
            }
        }
        /**
         * @dev Same as {_useNonce} but checking that `nonce` is the next valid for `owner`.
         */
        function _useCheckedNonce(address owner, uint256 nonce) internal virtual {
            uint256 current = _useNonce(owner);
            if (nonce != current) {
                revert InvalidAccountNonce(owner, current);
            }
        }
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.1.0) (access/IAccessControl.sol)
    pragma solidity ^0.8.20;
    /**
     * @dev External interface of AccessControl declared to support ERC-165 detection.
     */
    interface IAccessControl {
        /**
         * @dev The `account` is missing a role.
         */
        error AccessControlUnauthorizedAccount(address account, bytes32 neededRole);
        /**
         * @dev The caller of a function is not the expected one.
         *
         * NOTE: Don't confuse with {AccessControlUnauthorizedAccount}.
         */
        error AccessControlBadConfirmation();
        /**
         * @dev Emitted when `newAdminRole` is set as ``role``'s admin role, replacing `previousAdminRole`
         *
         * `DEFAULT_ADMIN_ROLE` is the starting admin for all roles, despite
         * {RoleAdminChanged} not being emitted signaling this.
         */
        event RoleAdminChanged(bytes32 indexed role, bytes32 indexed previousAdminRole, bytes32 indexed newAdminRole);
        /**
         * @dev Emitted when `account` is granted `role`.
         *
         * `sender` is the account that originated the contract call. This account bears the admin role (for the granted role).
         * Expected in cases where the role was granted using the internal {AccessControl-_grantRole}.
         */
        event RoleGranted(bytes32 indexed role, address indexed account, address indexed sender);
        /**
         * @dev Emitted when `account` is revoked `role`.
         *
         * `sender` is the account that originated the contract call:
         *   - if using `revokeRole`, it is the admin role bearer
         *   - if using `renounceRole`, it is the role bearer (i.e. `account`)
         */
        event RoleRevoked(bytes32 indexed role, address indexed account, address indexed sender);
        /**
         * @dev Returns `true` if `account` has been granted `role`.
         */
        function hasRole(bytes32 role, address account) external view returns (bool);
        /**
         * @dev Returns the admin role that controls `role`. See {grantRole} and
         * {revokeRole}.
         *
         * To change a role's admin, use {AccessControl-_setRoleAdmin}.
         */
        function getRoleAdmin(bytes32 role) external view returns (bytes32);
        /**
         * @dev Grants `role` to `account`.
         *
         * If `account` had not been already granted `role`, emits a {RoleGranted}
         * event.
         *
         * Requirements:
         *
         * - the caller must have ``role``'s admin role.
         */
        function grantRole(bytes32 role, address account) external;
        /**
         * @dev Revokes `role` from `account`.
         *
         * If `account` had been granted `role`, emits a {RoleRevoked} event.
         *
         * Requirements:
         *
         * - the caller must have ``role``'s admin role.
         */
        function revokeRole(bytes32 role, address account) external;
        /**
         * @dev Revokes `role` from the calling account.
         *
         * Roles are often managed via {grantRole} and {revokeRole}: this function's
         * purpose is to provide a mechanism for accounts to lose their privileges
         * if they are compromised (such as when a trusted device is misplaced).
         *
         * If the calling account had been granted `role`, emits a {RoleRevoked}
         * event.
         *
         * Requirements:
         *
         * - the caller must be `callerConfirmation`.
         */
        function renounceRole(bytes32 role, address callerConfirmation) external;
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.0.1) (utils/Context.sol)
    pragma solidity ^0.8.20;
    /**
     * @dev Provides information about the current execution context, including the
     * sender of the transaction and its data. While these are generally available
     * via msg.sender and msg.data, they should not be accessed in such a direct
     * manner, since when dealing with meta-transactions the account sending and
     * paying for execution may not be the actual sender (as far as an application
     * is concerned).
     *
     * This contract is only required for intermediate, library-like contracts.
     */
    abstract contract Context {
        function _msgSender() internal view virtual returns (address) {
            return msg.sender;
        }
        function _msgData() internal view virtual returns (bytes calldata) {
            return msg.data;
        }
        function _contextSuffixLength() internal view virtual returns (uint256) {
            return 0;
        }
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.1.0) (utils/introspection/ERC165.sol)
    pragma solidity ^0.8.20;
    import {IERC165} from "./IERC165.sol";
    /**
     * @dev Implementation of the {IERC165} interface.
     *
     * Contracts that want to implement ERC-165 should inherit from this contract and override {supportsInterface} to check
     * for the additional interface id that will be supported. For example:
     *
     * ```solidity
     * function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
     *     return interfaceId == type(MyInterface).interfaceId || super.supportsInterface(interfaceId);
     * }
     * ```
     */
    abstract contract ERC165 is IERC165 {
        /**
         * @dev See {IERC165-supportsInterface}.
         */
        function supportsInterface(bytes4 interfaceId) public view virtual returns (bool) {
            return interfaceId == type(IERC165).interfaceId;
        }
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.1.0) (token/ERC20/IERC20.sol)
    pragma solidity ^0.8.20;
    /**
     * @dev Interface of the ERC-20 standard as defined in the ERC.
     */
    interface IERC20 {
        /**
         * @dev Emitted when `value` tokens are moved from one account (`from`) to
         * another (`to`).
         *
         * Note that `value` may be zero.
         */
        event Transfer(address indexed from, address indexed to, uint256 value);
        /**
         * @dev Emitted when the allowance of a `spender` for an `owner` is set by
         * a call to {approve}. `value` is the new allowance.
         */
        event Approval(address indexed owner, address indexed spender, uint256 value);
        /**
         * @dev Returns the value of tokens in existence.
         */
        function totalSupply() external view returns (uint256);
        /**
         * @dev Returns the value of tokens owned by `account`.
         */
        function balanceOf(address account) external view returns (uint256);
        /**
         * @dev Moves a `value` amount of tokens from the caller's account to `to`.
         *
         * Returns a boolean value indicating whether the operation succeeded.
         *
         * Emits a {Transfer} event.
         */
        function transfer(address to, uint256 value) external returns (bool);
        /**
         * @dev Returns the remaining number of tokens that `spender` will be
         * allowed to spend on behalf of `owner` through {transferFrom}. This is
         * zero by default.
         *
         * This value changes when {approve} or {transferFrom} are called.
         */
        function allowance(address owner, address spender) external view returns (uint256);
        /**
         * @dev Sets a `value` amount of tokens as the allowance of `spender` over the
         * caller's tokens.
         *
         * Returns a boolean value indicating whether the operation succeeded.
         *
         * IMPORTANT: Beware that changing an allowance with this method brings the risk
         * that someone may use both the old and the new allowance by unfortunate
         * transaction ordering. One possible solution to mitigate this race
         * condition is to first reduce the spender's allowance to 0 and set the
         * desired value afterwards:
         * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
         *
         * Emits an {Approval} event.
         */
        function approve(address spender, uint256 value) external returns (bool);
        /**
         * @dev Moves a `value` amount of tokens from `from` to `to` using the
         * allowance mechanism. `value` is then deducted from the caller's
         * allowance.
         *
         * Returns a boolean value indicating whether the operation succeeded.
         *
         * Emits a {Transfer} event.
         */
        function transferFrom(address from, address to, uint256 value) external returns (bool);
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.1.0) (token/ERC20/extensions/IERC20Metadata.sol)
    pragma solidity ^0.8.20;
    import {IERC20} from "../IERC20.sol";
    /**
     * @dev Interface for the optional metadata functions from the ERC-20 standard.
     */
    interface IERC20Metadata is IERC20 {
        /**
         * @dev Returns the name of the token.
         */
        function name() external view returns (string memory);
        /**
         * @dev Returns the symbol of the token.
         */
        function symbol() external view returns (string memory);
        /**
         * @dev Returns the decimals places of the token.
         */
        function decimals() external view returns (uint8);
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.1.0) (interfaces/draft-IERC6093.sol)
    pragma solidity ^0.8.20;
    /**
     * @dev Standard ERC-20 Errors
     * Interface of the https://eips.ethereum.org/EIPS/eip-6093[ERC-6093] custom errors for ERC-20 tokens.
     */
    interface IERC20Errors {
        /**
         * @dev Indicates an error related to the current `balance` of a `sender`. Used in transfers.
         * @param sender Address whose tokens are being transferred.
         * @param balance Current balance for the interacting account.
         * @param needed Minimum amount required to perform a transfer.
         */
        error ERC20InsufficientBalance(address sender, uint256 balance, uint256 needed);
        /**
         * @dev Indicates a failure with the token `sender`. Used in transfers.
         * @param sender Address whose tokens are being transferred.
         */
        error ERC20InvalidSender(address sender);
        /**
         * @dev Indicates a failure with the token `receiver`. Used in transfers.
         * @param receiver Address to which tokens are being transferred.
         */
        error ERC20InvalidReceiver(address receiver);
        /**
         * @dev Indicates a failure with the `spender`’s `allowance`. Used in transfers.
         * @param spender Address that may be allowed to operate on tokens without being their owner.
         * @param allowance Amount of tokens a `spender` is allowed to operate with.
         * @param needed Minimum amount required to perform a transfer.
         */
        error ERC20InsufficientAllowance(address spender, uint256 allowance, uint256 needed);
        /**
         * @dev Indicates a failure with the `approver` of a token to be approved. Used in approvals.
         * @param approver Address initiating an approval operation.
         */
        error ERC20InvalidApprover(address approver);
        /**
         * @dev Indicates a failure with the `spender` to be approved. Used in approvals.
         * @param spender Address that may be allowed to operate on tokens without being their owner.
         */
        error ERC20InvalidSpender(address spender);
    }
    /**
     * @dev Standard ERC-721 Errors
     * Interface of the https://eips.ethereum.org/EIPS/eip-6093[ERC-6093] custom errors for ERC-721 tokens.
     */
    interface IERC721Errors {
        /**
         * @dev Indicates that an address can't be an owner. For example, `address(0)` is a forbidden owner in ERC-20.
         * Used in balance queries.
         * @param owner Address of the current owner of a token.
         */
        error ERC721InvalidOwner(address owner);
        /**
         * @dev Indicates a `tokenId` whose `owner` is the zero address.
         * @param tokenId Identifier number of a token.
         */
        error ERC721NonexistentToken(uint256 tokenId);
        /**
         * @dev Indicates an error related to the ownership over a particular token. Used in transfers.
         * @param sender Address whose tokens are being transferred.
         * @param tokenId Identifier number of a token.
         * @param owner Address of the current owner of a token.
         */
        error ERC721IncorrectOwner(address sender, uint256 tokenId, address owner);
        /**
         * @dev Indicates a failure with the token `sender`. Used in transfers.
         * @param sender Address whose tokens are being transferred.
         */
        error ERC721InvalidSender(address sender);
        /**
         * @dev Indicates a failure with the token `receiver`. Used in transfers.
         * @param receiver Address to which tokens are being transferred.
         */
        error ERC721InvalidReceiver(address receiver);
        /**
         * @dev Indicates a failure with the `operator`’s approval. Used in transfers.
         * @param operator Address that may be allowed to operate on tokens without being their owner.
         * @param tokenId Identifier number of a token.
         */
        error ERC721InsufficientApproval(address operator, uint256 tokenId);
        /**
         * @dev Indicates a failure with the `approver` of a token to be approved. Used in approvals.
         * @param approver Address initiating an approval operation.
         */
        error ERC721InvalidApprover(address approver);
        /**
         * @dev Indicates a failure with the `operator` to be approved. Used in approvals.
         * @param operator Address that may be allowed to operate on tokens without being their owner.
         */
        error ERC721InvalidOperator(address operator);
    }
    /**
     * @dev Standard ERC-1155 Errors
     * Interface of the https://eips.ethereum.org/EIPS/eip-6093[ERC-6093] custom errors for ERC-1155 tokens.
     */
    interface IERC1155Errors {
        /**
         * @dev Indicates an error related to the current `balance` of a `sender`. Used in transfers.
         * @param sender Address whose tokens are being transferred.
         * @param balance Current balance for the interacting account.
         * @param needed Minimum amount required to perform a transfer.
         * @param tokenId Identifier number of a token.
         */
        error ERC1155InsufficientBalance(address sender, uint256 balance, uint256 needed, uint256 tokenId);
        /**
         * @dev Indicates a failure with the token `sender`. Used in transfers.
         * @param sender Address whose tokens are being transferred.
         */
        error ERC1155InvalidSender(address sender);
        /**
         * @dev Indicates a failure with the token `receiver`. Used in transfers.
         * @param receiver Address to which tokens are being transferred.
         */
        error ERC1155InvalidReceiver(address receiver);
        /**
         * @dev Indicates a failure with the `operator`’s approval. Used in transfers.
         * @param operator Address that may be allowed to operate on tokens without being their owner.
         * @param owner Address of the current owner of a token.
         */
        error ERC1155MissingApprovalForAll(address operator, address owner);
        /**
         * @dev Indicates a failure with the `approver` of a token to be approved. Used in approvals.
         * @param approver Address initiating an approval operation.
         */
        error ERC1155InvalidApprover(address approver);
        /**
         * @dev Indicates a failure with the `operator` to be approved. Used in approvals.
         * @param operator Address that may be allowed to operate on tokens without being their owner.
         */
        error ERC1155InvalidOperator(address operator);
        /**
         * @dev Indicates an array length mismatch between ids and values in a safeBatchTransferFrom operation.
         * Used in batch transfers.
         * @param idsLength Length of the array of token identifiers
         * @param valuesLength Length of the array of token amounts
         */
        error ERC1155InvalidArrayLength(uint256 idsLength, uint256 valuesLength);
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.0.0) (utils/Pausable.sol)
    pragma solidity ^0.8.20;
    import {Context} from "../utils/Context.sol";
    /**
     * @dev Contract module which allows children to implement an emergency stop
     * mechanism that can be triggered by an authorized account.
     *
     * This module is used through inheritance. It will make available the
     * modifiers `whenNotPaused` and `whenPaused`, which can be applied to
     * the functions of your contract. Note that they will not be pausable by
     * simply including this module, only once the modifiers are put in place.
     */
    abstract contract Pausable is Context {
        bool private _paused;
        /**
         * @dev Emitted when the pause is triggered by `account`.
         */
        event Paused(address account);
        /**
         * @dev Emitted when the pause is lifted by `account`.
         */
        event Unpaused(address account);
        /**
         * @dev The operation failed because the contract is paused.
         */
        error EnforcedPause();
        /**
         * @dev The operation failed because the contract is not paused.
         */
        error ExpectedPause();
        /**
         * @dev Initializes the contract in unpaused state.
         */
        constructor() {
            _paused = false;
        }
        /**
         * @dev Modifier to make a function callable only when the contract is not paused.
         *
         * Requirements:
         *
         * - The contract must not be paused.
         */
        modifier whenNotPaused() {
            _requireNotPaused();
            _;
        }
        /**
         * @dev Modifier to make a function callable only when the contract is paused.
         *
         * Requirements:
         *
         * - The contract must be paused.
         */
        modifier whenPaused() {
            _requirePaused();
            _;
        }
        /**
         * @dev Returns true if the contract is paused, and false otherwise.
         */
        function paused() public view virtual returns (bool) {
            return _paused;
        }
        /**
         * @dev Throws if the contract is paused.
         */
        function _requireNotPaused() internal view virtual {
            if (paused()) {
                revert EnforcedPause();
            }
        }
        /**
         * @dev Throws if the contract is not paused.
         */
        function _requirePaused() internal view virtual {
            if (!paused()) {
                revert ExpectedPause();
            }
        }
        /**
         * @dev Triggers stopped state.
         *
         * Requirements:
         *
         * - The contract must not be paused.
         */
        function _pause() internal virtual whenNotPaused {
            _paused = true;
            emit Paused(_msgSender());
        }
        /**
         * @dev Returns to normal state.
         *
         * Requirements:
         *
         * - The contract must be paused.
         */
        function _unpause() internal virtual whenPaused {
            _paused = false;
            emit Unpaused(_msgSender());
        }
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.1.0) (token/ERC20/extensions/IERC20Permit.sol)
    pragma solidity ^0.8.20;
    /**
     * @dev Interface of the ERC-20 Permit extension allowing approvals to be made via signatures, as defined in
     * https://eips.ethereum.org/EIPS/eip-2612[ERC-2612].
     *
     * Adds the {permit} method, which can be used to change an account's ERC-20 allowance (see {IERC20-allowance}) by
     * presenting a message signed by the account. By not relying on {IERC20-approve}, the token holder account doesn't
     * need to send a transaction, and thus is not required to hold Ether at all.
     *
     * ==== Security Considerations
     *
     * There are two important considerations concerning the use of `permit`. The first is that a valid permit signature
     * expresses an allowance, and it should not be assumed to convey additional meaning. In particular, it should not be
     * considered as an intention to spend the allowance in any specific way. The second is that because permits have
     * built-in replay protection and can be submitted by anyone, they can be frontrun. A protocol that uses permits should
     * take this into consideration and allow a `permit` call to fail. Combining these two aspects, a pattern that may be
     * generally recommended is:
     *
     * ```solidity
     * function doThingWithPermit(..., uint256 value, uint256 deadline, uint8 v, bytes32 r, bytes32 s) public {
     *     try token.permit(msg.sender, address(this), value, deadline, v, r, s) {} catch {}
     *     doThing(..., value);
     * }
     *
     * function doThing(..., uint256 value) public {
     *     token.safeTransferFrom(msg.sender, address(this), value);
     *     ...
     * }
     * ```
     *
     * Observe that: 1) `msg.sender` is used as the owner, leaving no ambiguity as to the signer intent, and 2) the use of
     * `try/catch` allows the permit to fail and makes the code tolerant to frontrunning. (See also
     * {SafeERC20-safeTransferFrom}).
     *
     * Additionally, note that smart contract wallets (such as Argent or Safe) are not able to produce permit signatures, so
     * contracts should have entry points that don't rely on permit.
     */
    interface IERC20Permit {
        /**
         * @dev Sets `value` as the allowance of `spender` over ``owner``'s tokens,
         * given ``owner``'s signed approval.
         *
         * IMPORTANT: The same issues {IERC20-approve} has related to transaction
         * ordering also apply here.
         *
         * Emits an {Approval} event.
         *
         * Requirements:
         *
         * - `spender` cannot be the zero address.
         * - `deadline` must be a timestamp in the future.
         * - `v`, `r` and `s` must be a valid `secp256k1` signature from `owner`
         * over the EIP712-formatted function arguments.
         * - the signature must use ``owner``'s current nonce (see {nonces}).
         *
         * For more information on the signature format, see the
         * https://eips.ethereum.org/EIPS/eip-2612#specification[relevant EIP
         * section].
         *
         * CAUTION: See Security Considerations above.
         */
        function permit(
            address owner,
            address spender,
            uint256 value,
            uint256 deadline,
            uint8 v,
            bytes32 r,
            bytes32 s
        ) external;
        /**
         * @dev Returns the current nonce for `owner`. This value must be
         * included whenever a signature is generated for {permit}.
         *
         * Every successful call to {permit} increases ``owner``'s nonce by one. This
         * prevents a signature from being used multiple times.
         */
        function nonces(address owner) external view returns (uint256);
        /**
         * @dev Returns the domain separator used in the encoding of the signature for {permit}, as defined by {EIP712}.
         */
        // solhint-disable-next-line func-name-mixedcase
        function DOMAIN_SEPARATOR() external view returns (bytes32);
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.1.0) (utils/cryptography/ECDSA.sol)
    pragma solidity ^0.8.20;
    /**
     * @dev Elliptic Curve Digital Signature Algorithm (ECDSA) operations.
     *
     * These functions can be used to verify that a message was signed by the holder
     * of the private keys of a given address.
     */
    library ECDSA {
        enum RecoverError {
            NoError,
            InvalidSignature,
            InvalidSignatureLength,
            InvalidSignatureS
        }
        /**
         * @dev The signature derives the `address(0)`.
         */
        error ECDSAInvalidSignature();
        /**
         * @dev The signature has an invalid length.
         */
        error ECDSAInvalidSignatureLength(uint256 length);
        /**
         * @dev The signature has an S value that is in the upper half order.
         */
        error ECDSAInvalidSignatureS(bytes32 s);
        /**
         * @dev Returns the address that signed a hashed message (`hash`) with `signature` or an error. This will not
         * return address(0) without also returning an error description. Errors are documented using an enum (error type)
         * and a bytes32 providing additional information about the error.
         *
         * If no error is returned, then the address can be used for verification purposes.
         *
         * The `ecrecover` EVM precompile allows for malleable (non-unique) signatures:
         * this function rejects them by requiring the `s` value to be in the lower
         * half order, and the `v` value to be either 27 or 28.
         *
         * IMPORTANT: `hash` _must_ be the result of a hash operation for the
         * verification to be secure: it is possible to craft signatures that
         * recover to arbitrary addresses for non-hashed data. A safe way to ensure
         * this is by receiving a hash of the original message (which may otherwise
         * be too long), and then calling {MessageHashUtils-toEthSignedMessageHash} on it.
         *
         * Documentation for signature generation:
         * - with https://web3js.readthedocs.io/en/v1.3.4/web3-eth-accounts.html#sign[Web3.js]
         * - with https://docs.ethers.io/v5/api/signer/#Signer-signMessage[ethers]
         */
        function tryRecover(
            bytes32 hash,
            bytes memory signature
        ) internal pure returns (address recovered, RecoverError err, bytes32 errArg) {
            if (signature.length == 65) {
                bytes32 r;
                bytes32 s;
                uint8 v;
                // ecrecover takes the signature parameters, and the only way to get them
                // currently is to use assembly.
                assembly ("memory-safe") {
                    r := mload(add(signature, 0x20))
                    s := mload(add(signature, 0x40))
                    v := byte(0, mload(add(signature, 0x60)))
                }
                return tryRecover(hash, v, r, s);
            } else {
                return (address(0), RecoverError.InvalidSignatureLength, bytes32(signature.length));
            }
        }
        /**
         * @dev Returns the address that signed a hashed message (`hash`) with
         * `signature`. This address can then be used for verification purposes.
         *
         * The `ecrecover` EVM precompile allows for malleable (non-unique) signatures:
         * this function rejects them by requiring the `s` value to be in the lower
         * half order, and the `v` value to be either 27 or 28.
         *
         * IMPORTANT: `hash` _must_ be the result of a hash operation for the
         * verification to be secure: it is possible to craft signatures that
         * recover to arbitrary addresses for non-hashed data. A safe way to ensure
         * this is by receiving a hash of the original message (which may otherwise
         * be too long), and then calling {MessageHashUtils-toEthSignedMessageHash} on it.
         */
        function recover(bytes32 hash, bytes memory signature) internal pure returns (address) {
            (address recovered, RecoverError error, bytes32 errorArg) = tryRecover(hash, signature);
            _throwError(error, errorArg);
            return recovered;
        }
        /**
         * @dev Overload of {ECDSA-tryRecover} that receives the `r` and `vs` short-signature fields separately.
         *
         * See https://eips.ethereum.org/EIPS/eip-2098[ERC-2098 short signatures]
         */
        function tryRecover(
            bytes32 hash,
            bytes32 r,
            bytes32 vs
        ) internal pure returns (address recovered, RecoverError err, bytes32 errArg) {
            unchecked {
                bytes32 s = vs & bytes32(0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff);
                // We do not check for an overflow here since the shift operation results in 0 or 1.
                uint8 v = uint8((uint256(vs) >> 255) + 27);
                return tryRecover(hash, v, r, s);
            }
        }
        /**
         * @dev Overload of {ECDSA-recover} that receives the `r and `vs` short-signature fields separately.
         */
        function recover(bytes32 hash, bytes32 r, bytes32 vs) internal pure returns (address) {
            (address recovered, RecoverError error, bytes32 errorArg) = tryRecover(hash, r, vs);
            _throwError(error, errorArg);
            return recovered;
        }
        /**
         * @dev Overload of {ECDSA-tryRecover} that receives the `v`,
         * `r` and `s` signature fields separately.
         */
        function tryRecover(
            bytes32 hash,
            uint8 v,
            bytes32 r,
            bytes32 s
        ) internal pure returns (address recovered, RecoverError err, bytes32 errArg) {
            // EIP-2 still allows signature malleability for ecrecover(). Remove this possibility and make the signature
            // unique. Appendix F in the Ethereum Yellow paper (https://ethereum.github.io/yellowpaper/paper.pdf), defines
            // the valid range for s in (301): 0 < s < secp256k1n ÷ 2 + 1, and for v in (302): v ∈ {27, 28}. Most
            // signatures from current libraries generate a unique signature with an s-value in the lower half order.
            //
            // If your library generates malleable signatures, such as s-values in the upper range, calculate a new s-value
            // with 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141 - s1 and flip v from 27 to 28 or
            // vice versa. If your library also generates signatures with 0/1 for v instead 27/28, add 27 to v to accept
            // these malleable signatures as well.
            if (uint256(s) > 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF5D576E7357A4501DDFE92F46681B20A0) {
                return (address(0), RecoverError.InvalidSignatureS, s);
            }
            // If the signature is valid (and not malleable), return the signer address
            address signer = ecrecover(hash, v, r, s);
            if (signer == address(0)) {
                return (address(0), RecoverError.InvalidSignature, bytes32(0));
            }
            return (signer, RecoverError.NoError, bytes32(0));
        }
        /**
         * @dev Overload of {ECDSA-recover} that receives the `v`,
         * `r` and `s` signature fields separately.
         */
        function recover(bytes32 hash, uint8 v, bytes32 r, bytes32 s) internal pure returns (address) {
            (address recovered, RecoverError error, bytes32 errorArg) = tryRecover(hash, v, r, s);
            _throwError(error, errorArg);
            return recovered;
        }
        /**
         * @dev Optionally reverts with the corresponding custom error according to the `error` argument provided.
         */
        function _throwError(RecoverError error, bytes32 errorArg) private pure {
            if (error == RecoverError.NoError) {
                return; // no error: do nothing
            } else if (error == RecoverError.InvalidSignature) {
                revert ECDSAInvalidSignature();
            } else if (error == RecoverError.InvalidSignatureLength) {
                revert ECDSAInvalidSignatureLength(uint256(errorArg));
            } else if (error == RecoverError.InvalidSignatureS) {
                revert ECDSAInvalidSignatureS(errorArg);
            }
        }
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.1.0) (utils/cryptography/EIP712.sol)
    pragma solidity ^0.8.20;
    import {MessageHashUtils} from "./MessageHashUtils.sol";
    import {ShortStrings, ShortString} from "../ShortStrings.sol";
    import {IERC5267} from "../../interfaces/IERC5267.sol";
    /**
     * @dev https://eips.ethereum.org/EIPS/eip-712[EIP-712] is a standard for hashing and signing of typed structured data.
     *
     * The encoding scheme specified in the EIP requires a domain separator and a hash of the typed structured data, whose
     * encoding is very generic and therefore its implementation in Solidity is not feasible, thus this contract
     * does not implement the encoding itself. Protocols need to implement the type-specific encoding they need in order to
     * produce the hash of their typed data using a combination of `abi.encode` and `keccak256`.
     *
     * This contract implements the EIP-712 domain separator ({_domainSeparatorV4}) that is used as part of the encoding
     * scheme, and the final step of the encoding to obtain the message digest that is then signed via ECDSA
     * ({_hashTypedDataV4}).
     *
     * The implementation of the domain separator was designed to be as efficient as possible while still properly updating
     * the chain id to protect against replay attacks on an eventual fork of the chain.
     *
     * NOTE: This contract implements the version of the encoding known as "v4", as implemented by the JSON RPC method
     * https://docs.metamask.io/guide/signing-data.html[`eth_signTypedDataV4` in MetaMask].
     *
     * NOTE: In the upgradeable version of this contract, the cached values will correspond to the address, and the domain
     * separator of the implementation contract. This will cause the {_domainSeparatorV4} function to always rebuild the
     * separator from the immutable values, which is cheaper than accessing a cached version in cold storage.
     *
     * @custom:oz-upgrades-unsafe-allow state-variable-immutable
     */
    abstract contract EIP712 is IERC5267 {
        using ShortStrings for *;
        bytes32 private constant TYPE_HASH =
            keccak256("EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)");
        // Cache the domain separator as an immutable value, but also store the chain id that it corresponds to, in order to
        // invalidate the cached domain separator if the chain id changes.
        bytes32 private immutable _cachedDomainSeparator;
        uint256 private immutable _cachedChainId;
        address private immutable _cachedThis;
        bytes32 private immutable _hashedName;
        bytes32 private immutable _hashedVersion;
        ShortString private immutable _name;
        ShortString private immutable _version;
        string private _nameFallback;
        string private _versionFallback;
        /**
         * @dev Initializes the domain separator and parameter caches.
         *
         * The meaning of `name` and `version` is specified in
         * https://eips.ethereum.org/EIPS/eip-712#definition-of-domainseparator[EIP-712]:
         *
         * - `name`: the user readable name of the signing domain, i.e. the name of the DApp or the protocol.
         * - `version`: the current major version of the signing domain.
         *
         * NOTE: These parameters cannot be changed except through a xref:learn::upgrading-smart-contracts.adoc[smart
         * contract upgrade].
         */
        constructor(string memory name, string memory version) {
            _name = name.toShortStringWithFallback(_nameFallback);
            _version = version.toShortStringWithFallback(_versionFallback);
            _hashedName = keccak256(bytes(name));
            _hashedVersion = keccak256(bytes(version));
            _cachedChainId = block.chainid;
            _cachedDomainSeparator = _buildDomainSeparator();
            _cachedThis = address(this);
        }
        /**
         * @dev Returns the domain separator for the current chain.
         */
        function _domainSeparatorV4() internal view returns (bytes32) {
            if (address(this) == _cachedThis && block.chainid == _cachedChainId) {
                return _cachedDomainSeparator;
            } else {
                return _buildDomainSeparator();
            }
        }
        function _buildDomainSeparator() private view returns (bytes32) {
            return keccak256(abi.encode(TYPE_HASH, _hashedName, _hashedVersion, block.chainid, address(this)));
        }
        /**
         * @dev Given an already https://eips.ethereum.org/EIPS/eip-712#definition-of-hashstruct[hashed struct], this
         * function returns the hash of the fully encoded EIP712 message for this domain.
         *
         * This hash can be used together with {ECDSA-recover} to obtain the signer of a message. For example:
         *
         * ```solidity
         * bytes32 digest = _hashTypedDataV4(keccak256(abi.encode(
         *     keccak256("Mail(address to,string contents)"),
         *     mailTo,
         *     keccak256(bytes(mailContents))
         * )));
         * address signer = ECDSA.recover(digest, signature);
         * ```
         */
        function _hashTypedDataV4(bytes32 structHash) internal view virtual returns (bytes32) {
            return MessageHashUtils.toTypedDataHash(_domainSeparatorV4(), structHash);
        }
        /**
         * @dev See {IERC-5267}.
         */
        function eip712Domain()
            public
            view
            virtual
            returns (
                bytes1 fields,
                string memory name,
                string memory version,
                uint256 chainId,
                address verifyingContract,
                bytes32 salt,
                uint256[] memory extensions
            )
        {
            return (
                hex"0f", // 01111
                _EIP712Name(),
                _EIP712Version(),
                block.chainid,
                address(this),
                bytes32(0),
                new uint256[](0)
            );
        }
        /**
         * @dev The name parameter for the EIP712 domain.
         *
         * NOTE: By default this function reads _name which is an immutable value.
         * It only reads from storage if necessary (in case the value is too large to fit in a ShortString).
         */
        // solhint-disable-next-line func-name-mixedcase
        function _EIP712Name() internal view returns (string memory) {
            return _name.toStringWithFallback(_nameFallback);
        }
        /**
         * @dev The version parameter for the EIP712 domain.
         *
         * NOTE: By default this function reads _version which is an immutable value.
         * It only reads from storage if necessary (in case the value is too large to fit in a ShortString).
         */
        // solhint-disable-next-line func-name-mixedcase
        function _EIP712Version() internal view returns (string memory) {
            return _version.toStringWithFallback(_versionFallback);
        }
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.2.0) (governance/utils/Votes.sol)
    pragma solidity ^0.8.20;
    import {IERC5805} from "../../interfaces/IERC5805.sol";
    import {Context} from "../../utils/Context.sol";
    import {Nonces} from "../../utils/Nonces.sol";
    import {EIP712} from "../../utils/cryptography/EIP712.sol";
    import {Checkpoints} from "../../utils/structs/Checkpoints.sol";
    import {SafeCast} from "../../utils/math/SafeCast.sol";
    import {ECDSA} from "../../utils/cryptography/ECDSA.sol";
    import {Time} from "../../utils/types/Time.sol";
    /**
     * @dev This is a base abstract contract that tracks voting units, which are a measure of voting power that can be
     * transferred, and provides a system of vote delegation, where an account can delegate its voting units to a sort of
     * "representative" that will pool delegated voting units from different accounts and can then use it to vote in
     * decisions. In fact, voting units _must_ be delegated in order to count as actual votes, and an account has to
     * delegate those votes to itself if it wishes to participate in decisions and does not have a trusted representative.
     *
     * This contract is often combined with a token contract such that voting units correspond to token units. For an
     * example, see {ERC721Votes}.
     *
     * The full history of delegate votes is tracked on-chain so that governance protocols can consider votes as distributed
     * at a particular block number to protect against flash loans and double voting. The opt-in delegate system makes the
     * cost of this history tracking optional.
     *
     * When using this module the derived contract must implement {_getVotingUnits} (for example, make it return
     * {ERC721-balanceOf}), and can use {_transferVotingUnits} to track a change in the distribution of those units (in the
     * previous example, it would be included in {ERC721-_update}).
     */
    abstract contract Votes is Context, EIP712, Nonces, IERC5805 {
        using Checkpoints for Checkpoints.Trace208;
        bytes32 private constant DELEGATION_TYPEHASH =
            keccak256("Delegation(address delegatee,uint256 nonce,uint256 expiry)");
        mapping(address account => address) private _delegatee;
        mapping(address delegatee => Checkpoints.Trace208) private _delegateCheckpoints;
        Checkpoints.Trace208 private _totalCheckpoints;
        /**
         * @dev The clock was incorrectly modified.
         */
        error ERC6372InconsistentClock();
        /**
         * @dev Lookup to future votes is not available.
         */
        error ERC5805FutureLookup(uint256 timepoint, uint48 clock);
        /**
         * @dev Clock used for flagging checkpoints. Can be overridden to implement timestamp based
         * checkpoints (and voting), in which case {CLOCK_MODE} should be overridden as well to match.
         */
        function clock() public view virtual returns (uint48) {
            return Time.blockNumber();
        }
        /**
         * @dev Machine-readable description of the clock as specified in ERC-6372.
         */
        // solhint-disable-next-line func-name-mixedcase
        function CLOCK_MODE() public view virtual returns (string memory) {
            // Check that the clock was not modified
            if (clock() != Time.blockNumber()) {
                revert ERC6372InconsistentClock();
            }
            return "mode=blocknumber&from=default";
        }
        /**
         * @dev Validate that a timepoint is in the past, and return it as a uint48.
         */
        function _validateTimepoint(uint256 timepoint) internal view returns (uint48) {
            uint48 currentTimepoint = clock();
            if (timepoint >= currentTimepoint) revert ERC5805FutureLookup(timepoint, currentTimepoint);
            return SafeCast.toUint48(timepoint);
        }
        /**
         * @dev Returns the current amount of votes that `account` has.
         */
        function getVotes(address account) public view virtual returns (uint256) {
            return _delegateCheckpoints[account].latest();
        }
        /**
         * @dev Returns the amount of votes that `account` had at a specific moment in the past. If the `clock()` is
         * configured to use block numbers, this will return the value at the end of the corresponding block.
         *
         * Requirements:
         *
         * - `timepoint` must be in the past. If operating using block numbers, the block must be already mined.
         */
        function getPastVotes(address account, uint256 timepoint) public view virtual returns (uint256) {
            return _delegateCheckpoints[account].upperLookupRecent(_validateTimepoint(timepoint));
        }
        /**
         * @dev Returns the total supply of votes available at a specific moment in the past. If the `clock()` is
         * configured to use block numbers, this will return the value at the end of the corresponding block.
         *
         * NOTE: This value is the sum of all available votes, which is not necessarily the sum of all delegated votes.
         * Votes that have not been delegated are still part of total supply, even though they would not participate in a
         * vote.
         *
         * Requirements:
         *
         * - `timepoint` must be in the past. If operating using block numbers, the block must be already mined.
         */
        function getPastTotalSupply(uint256 timepoint) public view virtual returns (uint256) {
            return _totalCheckpoints.upperLookupRecent(_validateTimepoint(timepoint));
        }
        /**
         * @dev Returns the current total supply of votes.
         */
        function _getTotalSupply() internal view virtual returns (uint256) {
            return _totalCheckpoints.latest();
        }
        /**
         * @dev Returns the delegate that `account` has chosen.
         */
        function delegates(address account) public view virtual returns (address) {
            return _delegatee[account];
        }
        /**
         * @dev Delegates votes from the sender to `delegatee`.
         */
        function delegate(address delegatee) public virtual {
            address account = _msgSender();
            _delegate(account, delegatee);
        }
        /**
         * @dev Delegates votes from signer to `delegatee`.
         */
        function delegateBySig(
            address delegatee,
            uint256 nonce,
            uint256 expiry,
            uint8 v,
            bytes32 r,
            bytes32 s
        ) public virtual {
            if (block.timestamp > expiry) {
                revert VotesExpiredSignature(expiry);
            }
            address signer = ECDSA.recover(
                _hashTypedDataV4(keccak256(abi.encode(DELEGATION_TYPEHASH, delegatee, nonce, expiry))),
                v,
                r,
                s
            );
            _useCheckedNonce(signer, nonce);
            _delegate(signer, delegatee);
        }
        /**
         * @dev Delegate all of `account`'s voting units to `delegatee`.
         *
         * Emits events {IVotes-DelegateChanged} and {IVotes-DelegateVotesChanged}.
         */
        function _delegate(address account, address delegatee) internal virtual {
            address oldDelegate = delegates(account);
            _delegatee[account] = delegatee;
            emit DelegateChanged(account, oldDelegate, delegatee);
            _moveDelegateVotes(oldDelegate, delegatee, _getVotingUnits(account));
        }
        /**
         * @dev Transfers, mints, or burns voting units. To register a mint, `from` should be zero. To register a burn, `to`
         * should be zero. Total supply of voting units will be adjusted with mints and burns.
         */
        function _transferVotingUnits(address from, address to, uint256 amount) internal virtual {
            if (from == address(0)) {
                _push(_totalCheckpoints, _add, SafeCast.toUint208(amount));
            }
            if (to == address(0)) {
                _push(_totalCheckpoints, _subtract, SafeCast.toUint208(amount));
            }
            _moveDelegateVotes(delegates(from), delegates(to), amount);
        }
        /**
         * @dev Moves delegated votes from one delegate to another.
         */
        function _moveDelegateVotes(address from, address to, uint256 amount) internal virtual {
            if (from != to && amount > 0) {
                if (from != address(0)) {
                    (uint256 oldValue, uint256 newValue) = _push(
                        _delegateCheckpoints[from],
                        _subtract,
                        SafeCast.toUint208(amount)
                    );
                    emit DelegateVotesChanged(from, oldValue, newValue);
                }
                if (to != address(0)) {
                    (uint256 oldValue, uint256 newValue) = _push(
                        _delegateCheckpoints[to],
                        _add,
                        SafeCast.toUint208(amount)
                    );
                    emit DelegateVotesChanged(to, oldValue, newValue);
                }
            }
        }
        /**
         * @dev Get number of checkpoints for `account`.
         */
        function _numCheckpoints(address account) internal view virtual returns (uint32) {
            return SafeCast.toUint32(_delegateCheckpoints[account].length());
        }
        /**
         * @dev Get the `pos`-th checkpoint for `account`.
         */
        function _checkpoints(
            address account,
            uint32 pos
        ) internal view virtual returns (Checkpoints.Checkpoint208 memory) {
            return _delegateCheckpoints[account].at(pos);
        }
        function _push(
            Checkpoints.Trace208 storage store,
            function(uint208, uint208) view returns (uint208) op,
            uint208 delta
        ) private returns (uint208 oldValue, uint208 newValue) {
            return store.push(clock(), op(store.latest(), delta));
        }
        function _add(uint208 a, uint208 b) private pure returns (uint208) {
            return a + b;
        }
        function _subtract(uint208 a, uint208 b) private pure returns (uint208) {
            return a - b;
        }
        /**
         * @dev Must return the voting units held by an account.
         */
        function _getVotingUnits(address) internal view virtual returns (uint256);
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.1.0) (utils/structs/Checkpoints.sol)
    // This file was procedurally generated from scripts/generate/templates/Checkpoints.js.
    pragma solidity ^0.8.20;
    import {Math} from "../math/Math.sol";
    /**
     * @dev This library defines the `Trace*` struct, for checkpointing values as they change at different points in
     * time, and later looking up past values by block number. See {Votes} as an example.
     *
     * To create a history of checkpoints define a variable type `Checkpoints.Trace*` in your contract, and store a new
     * checkpoint for the current transaction block using the {push} function.
     */
    library Checkpoints {
        /**
         * @dev A value was attempted to be inserted on a past checkpoint.
         */
        error CheckpointUnorderedInsertion();
        struct Trace224 {
            Checkpoint224[] _checkpoints;
        }
        struct Checkpoint224 {
            uint32 _key;
            uint224 _value;
        }
        /**
         * @dev Pushes a (`key`, `value`) pair into a Trace224 so that it is stored as the checkpoint.
         *
         * Returns previous value and new value.
         *
         * IMPORTANT: Never accept `key` as a user input, since an arbitrary `type(uint32).max` key set will disable the
         * library.
         */
        function push(
            Trace224 storage self,
            uint32 key,
            uint224 value
        ) internal returns (uint224 oldValue, uint224 newValue) {
            return _insert(self._checkpoints, key, value);
        }
        /**
         * @dev Returns the value in the first (oldest) checkpoint with key greater or equal than the search key, or zero if
         * there is none.
         */
        function lowerLookup(Trace224 storage self, uint32 key) internal view returns (uint224) {
            uint256 len = self._checkpoints.length;
            uint256 pos = _lowerBinaryLookup(self._checkpoints, key, 0, len);
            return pos == len ? 0 : _unsafeAccess(self._checkpoints, pos)._value;
        }
        /**
         * @dev Returns the value in the last (most recent) checkpoint with key lower or equal than the search key, or zero
         * if there is none.
         */
        function upperLookup(Trace224 storage self, uint32 key) internal view returns (uint224) {
            uint256 len = self._checkpoints.length;
            uint256 pos = _upperBinaryLookup(self._checkpoints, key, 0, len);
            return pos == 0 ? 0 : _unsafeAccess(self._checkpoints, pos - 1)._value;
        }
        /**
         * @dev Returns the value in the last (most recent) checkpoint with key lower or equal than the search key, or zero
         * if there is none.
         *
         * NOTE: This is a variant of {upperLookup} that is optimised to find "recent" checkpoint (checkpoints with high
         * keys).
         */
        function upperLookupRecent(Trace224 storage self, uint32 key) internal view returns (uint224) {
            uint256 len = self._checkpoints.length;
            uint256 low = 0;
            uint256 high = len;
            if (len > 5) {
                uint256 mid = len - Math.sqrt(len);
                if (key < _unsafeAccess(self._checkpoints, mid)._key) {
                    high = mid;
                } else {
                    low = mid + 1;
                }
            }
            uint256 pos = _upperBinaryLookup(self._checkpoints, key, low, high);
            return pos == 0 ? 0 : _unsafeAccess(self._checkpoints, pos - 1)._value;
        }
        /**
         * @dev Returns the value in the most recent checkpoint, or zero if there are no checkpoints.
         */
        function latest(Trace224 storage self) internal view returns (uint224) {
            uint256 pos = self._checkpoints.length;
            return pos == 0 ? 0 : _unsafeAccess(self._checkpoints, pos - 1)._value;
        }
        /**
         * @dev Returns whether there is a checkpoint in the structure (i.e. it is not empty), and if so the key and value
         * in the most recent checkpoint.
         */
        function latestCheckpoint(Trace224 storage self) internal view returns (bool exists, uint32 _key, uint224 _value) {
            uint256 pos = self._checkpoints.length;
            if (pos == 0) {
                return (false, 0, 0);
            } else {
                Checkpoint224 storage ckpt = _unsafeAccess(self._checkpoints, pos - 1);
                return (true, ckpt._key, ckpt._value);
            }
        }
        /**
         * @dev Returns the number of checkpoint.
         */
        function length(Trace224 storage self) internal view returns (uint256) {
            return self._checkpoints.length;
        }
        /**
         * @dev Returns checkpoint at given position.
         */
        function at(Trace224 storage self, uint32 pos) internal view returns (Checkpoint224 memory) {
            return self._checkpoints[pos];
        }
        /**
         * @dev Pushes a (`key`, `value`) pair into an ordered list of checkpoints, either by inserting a new checkpoint,
         * or by updating the last one.
         */
        function _insert(
            Checkpoint224[] storage self,
            uint32 key,
            uint224 value
        ) private returns (uint224 oldValue, uint224 newValue) {
            uint256 pos = self.length;
            if (pos > 0) {
                Checkpoint224 storage last = _unsafeAccess(self, pos - 1);
                uint32 lastKey = last._key;
                uint224 lastValue = last._value;
                // Checkpoint keys must be non-decreasing.
                if (lastKey > key) {
                    revert CheckpointUnorderedInsertion();
                }
                // Update or push new checkpoint
                if (lastKey == key) {
                    last._value = value;
                } else {
                    self.push(Checkpoint224({_key: key, _value: value}));
                }
                return (lastValue, value);
            } else {
                self.push(Checkpoint224({_key: key, _value: value}));
                return (0, value);
            }
        }
        /**
         * @dev Return the index of the first (oldest) checkpoint with key strictly bigger than the search key, or `high`
         * if there is none. `low` and `high` define a section where to do the search, with inclusive `low` and exclusive
         * `high`.
         *
         * WARNING: `high` should not be greater than the array's length.
         */
        function _upperBinaryLookup(
            Checkpoint224[] storage self,
            uint32 key,
            uint256 low,
            uint256 high
        ) private view returns (uint256) {
            while (low < high) {
                uint256 mid = Math.average(low, high);
                if (_unsafeAccess(self, mid)._key > key) {
                    high = mid;
                } else {
                    low = mid + 1;
                }
            }
            return high;
        }
        /**
         * @dev Return the index of the first (oldest) checkpoint with key greater or equal than the search key, or `high`
         * if there is none. `low` and `high` define a section where to do the search, with inclusive `low` and exclusive
         * `high`.
         *
         * WARNING: `high` should not be greater than the array's length.
         */
        function _lowerBinaryLookup(
            Checkpoint224[] storage self,
            uint32 key,
            uint256 low,
            uint256 high
        ) private view returns (uint256) {
            while (low < high) {
                uint256 mid = Math.average(low, high);
                if (_unsafeAccess(self, mid)._key < key) {
                    low = mid + 1;
                } else {
                    high = mid;
                }
            }
            return high;
        }
        /**
         * @dev Access an element of the array without performing bounds check. The position is assumed to be within bounds.
         */
        function _unsafeAccess(
            Checkpoint224[] storage self,
            uint256 pos
        ) private pure returns (Checkpoint224 storage result) {
            assembly {
                mstore(0, self.slot)
                result.slot := add(keccak256(0, 0x20), pos)
            }
        }
        struct Trace208 {
            Checkpoint208[] _checkpoints;
        }
        struct Checkpoint208 {
            uint48 _key;
            uint208 _value;
        }
        /**
         * @dev Pushes a (`key`, `value`) pair into a Trace208 so that it is stored as the checkpoint.
         *
         * Returns previous value and new value.
         *
         * IMPORTANT: Never accept `key` as a user input, since an arbitrary `type(uint48).max` key set will disable the
         * library.
         */
        function push(
            Trace208 storage self,
            uint48 key,
            uint208 value
        ) internal returns (uint208 oldValue, uint208 newValue) {
            return _insert(self._checkpoints, key, value);
        }
        /**
         * @dev Returns the value in the first (oldest) checkpoint with key greater or equal than the search key, or zero if
         * there is none.
         */
        function lowerLookup(Trace208 storage self, uint48 key) internal view returns (uint208) {
            uint256 len = self._checkpoints.length;
            uint256 pos = _lowerBinaryLookup(self._checkpoints, key, 0, len);
            return pos == len ? 0 : _unsafeAccess(self._checkpoints, pos)._value;
        }
        /**
         * @dev Returns the value in the last (most recent) checkpoint with key lower or equal than the search key, or zero
         * if there is none.
         */
        function upperLookup(Trace208 storage self, uint48 key) internal view returns (uint208) {
            uint256 len = self._checkpoints.length;
            uint256 pos = _upperBinaryLookup(self._checkpoints, key, 0, len);
            return pos == 0 ? 0 : _unsafeAccess(self._checkpoints, pos - 1)._value;
        }
        /**
         * @dev Returns the value in the last (most recent) checkpoint with key lower or equal than the search key, or zero
         * if there is none.
         *
         * NOTE: This is a variant of {upperLookup} that is optimised to find "recent" checkpoint (checkpoints with high
         * keys).
         */
        function upperLookupRecent(Trace208 storage self, uint48 key) internal view returns (uint208) {
            uint256 len = self._checkpoints.length;
            uint256 low = 0;
            uint256 high = len;
            if (len > 5) {
                uint256 mid = len - Math.sqrt(len);
                if (key < _unsafeAccess(self._checkpoints, mid)._key) {
                    high = mid;
                } else {
                    low = mid + 1;
                }
            }
            uint256 pos = _upperBinaryLookup(self._checkpoints, key, low, high);
            return pos == 0 ? 0 : _unsafeAccess(self._checkpoints, pos - 1)._value;
        }
        /**
         * @dev Returns the value in the most recent checkpoint, or zero if there are no checkpoints.
         */
        function latest(Trace208 storage self) internal view returns (uint208) {
            uint256 pos = self._checkpoints.length;
            return pos == 0 ? 0 : _unsafeAccess(self._checkpoints, pos - 1)._value;
        }
        /**
         * @dev Returns whether there is a checkpoint in the structure (i.e. it is not empty), and if so the key and value
         * in the most recent checkpoint.
         */
        function latestCheckpoint(Trace208 storage self) internal view returns (bool exists, uint48 _key, uint208 _value) {
            uint256 pos = self._checkpoints.length;
            if (pos == 0) {
                return (false, 0, 0);
            } else {
                Checkpoint208 storage ckpt = _unsafeAccess(self._checkpoints, pos - 1);
                return (true, ckpt._key, ckpt._value);
            }
        }
        /**
         * @dev Returns the number of checkpoint.
         */
        function length(Trace208 storage self) internal view returns (uint256) {
            return self._checkpoints.length;
        }
        /**
         * @dev Returns checkpoint at given position.
         */
        function at(Trace208 storage self, uint32 pos) internal view returns (Checkpoint208 memory) {
            return self._checkpoints[pos];
        }
        /**
         * @dev Pushes a (`key`, `value`) pair into an ordered list of checkpoints, either by inserting a new checkpoint,
         * or by updating the last one.
         */
        function _insert(
            Checkpoint208[] storage self,
            uint48 key,
            uint208 value
        ) private returns (uint208 oldValue, uint208 newValue) {
            uint256 pos = self.length;
            if (pos > 0) {
                Checkpoint208 storage last = _unsafeAccess(self, pos - 1);
                uint48 lastKey = last._key;
                uint208 lastValue = last._value;
                // Checkpoint keys must be non-decreasing.
                if (lastKey > key) {
                    revert CheckpointUnorderedInsertion();
                }
                // Update or push new checkpoint
                if (lastKey == key) {
                    last._value = value;
                } else {
                    self.push(Checkpoint208({_key: key, _value: value}));
                }
                return (lastValue, value);
            } else {
                self.push(Checkpoint208({_key: key, _value: value}));
                return (0, value);
            }
        }
        /**
         * @dev Return the index of the first (oldest) checkpoint with key strictly bigger than the search key, or `high`
         * if there is none. `low` and `high` define a section where to do the search, with inclusive `low` and exclusive
         * `high`.
         *
         * WARNING: `high` should not be greater than the array's length.
         */
        function _upperBinaryLookup(
            Checkpoint208[] storage self,
            uint48 key,
            uint256 low,
            uint256 high
        ) private view returns (uint256) {
            while (low < high) {
                uint256 mid = Math.average(low, high);
                if (_unsafeAccess(self, mid)._key > key) {
                    high = mid;
                } else {
                    low = mid + 1;
                }
            }
            return high;
        }
        /**
         * @dev Return the index of the first (oldest) checkpoint with key greater or equal than the search key, or `high`
         * if there is none. `low` and `high` define a section where to do the search, with inclusive `low` and exclusive
         * `high`.
         *
         * WARNING: `high` should not be greater than the array's length.
         */
        function _lowerBinaryLookup(
            Checkpoint208[] storage self,
            uint48 key,
            uint256 low,
            uint256 high
        ) private view returns (uint256) {
            while (low < high) {
                uint256 mid = Math.average(low, high);
                if (_unsafeAccess(self, mid)._key < key) {
                    low = mid + 1;
                } else {
                    high = mid;
                }
            }
            return high;
        }
        /**
         * @dev Access an element of the array without performing bounds check. The position is assumed to be within bounds.
         */
        function _unsafeAccess(
            Checkpoint208[] storage self,
            uint256 pos
        ) private pure returns (Checkpoint208 storage result) {
            assembly {
                mstore(0, self.slot)
                result.slot := add(keccak256(0, 0x20), pos)
            }
        }
        struct Trace160 {
            Checkpoint160[] _checkpoints;
        }
        struct Checkpoint160 {
            uint96 _key;
            uint160 _value;
        }
        /**
         * @dev Pushes a (`key`, `value`) pair into a Trace160 so that it is stored as the checkpoint.
         *
         * Returns previous value and new value.
         *
         * IMPORTANT: Never accept `key` as a user input, since an arbitrary `type(uint96).max` key set will disable the
         * library.
         */
        function push(
            Trace160 storage self,
            uint96 key,
            uint160 value
        ) internal returns (uint160 oldValue, uint160 newValue) {
            return _insert(self._checkpoints, key, value);
        }
        /**
         * @dev Returns the value in the first (oldest) checkpoint with key greater or equal than the search key, or zero if
         * there is none.
         */
        function lowerLookup(Trace160 storage self, uint96 key) internal view returns (uint160) {
            uint256 len = self._checkpoints.length;
            uint256 pos = _lowerBinaryLookup(self._checkpoints, key, 0, len);
            return pos == len ? 0 : _unsafeAccess(self._checkpoints, pos)._value;
        }
        /**
         * @dev Returns the value in the last (most recent) checkpoint with key lower or equal than the search key, or zero
         * if there is none.
         */
        function upperLookup(Trace160 storage self, uint96 key) internal view returns (uint160) {
            uint256 len = self._checkpoints.length;
            uint256 pos = _upperBinaryLookup(self._checkpoints, key, 0, len);
            return pos == 0 ? 0 : _unsafeAccess(self._checkpoints, pos - 1)._value;
        }
        /**
         * @dev Returns the value in the last (most recent) checkpoint with key lower or equal than the search key, or zero
         * if there is none.
         *
         * NOTE: This is a variant of {upperLookup} that is optimised to find "recent" checkpoint (checkpoints with high
         * keys).
         */
        function upperLookupRecent(Trace160 storage self, uint96 key) internal view returns (uint160) {
            uint256 len = self._checkpoints.length;
            uint256 low = 0;
            uint256 high = len;
            if (len > 5) {
                uint256 mid = len - Math.sqrt(len);
                if (key < _unsafeAccess(self._checkpoints, mid)._key) {
                    high = mid;
                } else {
                    low = mid + 1;
                }
            }
            uint256 pos = _upperBinaryLookup(self._checkpoints, key, low, high);
            return pos == 0 ? 0 : _unsafeAccess(self._checkpoints, pos - 1)._value;
        }
        /**
         * @dev Returns the value in the most recent checkpoint, or zero if there are no checkpoints.
         */
        function latest(Trace160 storage self) internal view returns (uint160) {
            uint256 pos = self._checkpoints.length;
            return pos == 0 ? 0 : _unsafeAccess(self._checkpoints, pos - 1)._value;
        }
        /**
         * @dev Returns whether there is a checkpoint in the structure (i.e. it is not empty), and if so the key and value
         * in the most recent checkpoint.
         */
        function latestCheckpoint(Trace160 storage self) internal view returns (bool exists, uint96 _key, uint160 _value) {
            uint256 pos = self._checkpoints.length;
            if (pos == 0) {
                return (false, 0, 0);
            } else {
                Checkpoint160 storage ckpt = _unsafeAccess(self._checkpoints, pos - 1);
                return (true, ckpt._key, ckpt._value);
            }
        }
        /**
         * @dev Returns the number of checkpoint.
         */
        function length(Trace160 storage self) internal view returns (uint256) {
            return self._checkpoints.length;
        }
        /**
         * @dev Returns checkpoint at given position.
         */
        function at(Trace160 storage self, uint32 pos) internal view returns (Checkpoint160 memory) {
            return self._checkpoints[pos];
        }
        /**
         * @dev Pushes a (`key`, `value`) pair into an ordered list of checkpoints, either by inserting a new checkpoint,
         * or by updating the last one.
         */
        function _insert(
            Checkpoint160[] storage self,
            uint96 key,
            uint160 value
        ) private returns (uint160 oldValue, uint160 newValue) {
            uint256 pos = self.length;
            if (pos > 0) {
                Checkpoint160 storage last = _unsafeAccess(self, pos - 1);
                uint96 lastKey = last._key;
                uint160 lastValue = last._value;
                // Checkpoint keys must be non-decreasing.
                if (lastKey > key) {
                    revert CheckpointUnorderedInsertion();
                }
                // Update or push new checkpoint
                if (lastKey == key) {
                    last._value = value;
                } else {
                    self.push(Checkpoint160({_key: key, _value: value}));
                }
                return (lastValue, value);
            } else {
                self.push(Checkpoint160({_key: key, _value: value}));
                return (0, value);
            }
        }
        /**
         * @dev Return the index of the first (oldest) checkpoint with key strictly bigger than the search key, or `high`
         * if there is none. `low` and `high` define a section where to do the search, with inclusive `low` and exclusive
         * `high`.
         *
         * WARNING: `high` should not be greater than the array's length.
         */
        function _upperBinaryLookup(
            Checkpoint160[] storage self,
            uint96 key,
            uint256 low,
            uint256 high
        ) private view returns (uint256) {
            while (low < high) {
                uint256 mid = Math.average(low, high);
                if (_unsafeAccess(self, mid)._key > key) {
                    high = mid;
                } else {
                    low = mid + 1;
                }
            }
            return high;
        }
        /**
         * @dev Return the index of the first (oldest) checkpoint with key greater or equal than the search key, or `high`
         * if there is none. `low` and `high` define a section where to do the search, with inclusive `low` and exclusive
         * `high`.
         *
         * WARNING: `high` should not be greater than the array's length.
         */
        function _lowerBinaryLookup(
            Checkpoint160[] storage self,
            uint96 key,
            uint256 low,
            uint256 high
        ) private view returns (uint256) {
            while (low < high) {
                uint256 mid = Math.average(low, high);
                if (_unsafeAccess(self, mid)._key < key) {
                    low = mid + 1;
                } else {
                    high = mid;
                }
            }
            return high;
        }
        /**
         * @dev Access an element of the array without performing bounds check. The position is assumed to be within bounds.
         */
        function _unsafeAccess(
            Checkpoint160[] storage self,
            uint256 pos
        ) private pure returns (Checkpoint160 storage result) {
            assembly {
                mstore(0, self.slot)
                result.slot := add(keccak256(0, 0x20), pos)
            }
        }
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.1.0) (utils/introspection/IERC165.sol)
    pragma solidity ^0.8.20;
    /**
     * @dev Interface of the ERC-165 standard, as defined in the
     * https://eips.ethereum.org/EIPS/eip-165[ERC].
     *
     * Implementers can declare support of contract interfaces, which can then be
     * queried by others ({ERC165Checker}).
     *
     * For an implementation, see {ERC165}.
     */
    interface IERC165 {
        /**
         * @dev Returns true if this contract implements the interface defined by
         * `interfaceId`. See the corresponding
         * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[ERC section]
         * to learn more about how these ids are created.
         *
         * This function call must use less than 30 000 gas.
         */
        function supportsInterface(bytes4 interfaceId) external view returns (bool);
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.1.0) (utils/cryptography/MessageHashUtils.sol)
    pragma solidity ^0.8.20;
    import {Strings} from "../Strings.sol";
    /**
     * @dev Signature message hash utilities for producing digests to be consumed by {ECDSA} recovery or signing.
     *
     * The library provides methods for generating a hash of a message that conforms to the
     * https://eips.ethereum.org/EIPS/eip-191[ERC-191] and https://eips.ethereum.org/EIPS/eip-712[EIP 712]
     * specifications.
     */
    library MessageHashUtils {
        /**
         * @dev Returns the keccak256 digest of an ERC-191 signed data with version
         * `0x45` (`personal_sign` messages).
         *
         * The digest is calculated by prefixing a bytes32 `messageHash` with
         * `"\\x19Ethereum Signed Message:\
    32"` and hashing the result. It corresponds with the
         * hash signed when using the https://eth.wiki/json-rpc/API#eth_sign[`eth_sign`] JSON-RPC method.
         *
         * NOTE: The `messageHash` parameter is intended to be the result of hashing a raw message with
         * keccak256, although any bytes32 value can be safely used because the final digest will
         * be re-hashed.
         *
         * See {ECDSA-recover}.
         */
        function toEthSignedMessageHash(bytes32 messageHash) internal pure returns (bytes32 digest) {
            assembly ("memory-safe") {
                mstore(0x00, "\\x19Ethereum Signed Message:\
    32") // 32 is the bytes-length of messageHash
                mstore(0x1c, messageHash) // 0x1c (28) is the length of the prefix
                digest := keccak256(0x00, 0x3c) // 0x3c is the length of the prefix (0x1c) + messageHash (0x20)
            }
        }
        /**
         * @dev Returns the keccak256 digest of an ERC-191 signed data with version
         * `0x45` (`personal_sign` messages).
         *
         * The digest is calculated by prefixing an arbitrary `message` with
         * `"\\x19Ethereum Signed Message:\
    " + len(message)` and hashing the result. It corresponds with the
         * hash signed when using the https://eth.wiki/json-rpc/API#eth_sign[`eth_sign`] JSON-RPC method.
         *
         * See {ECDSA-recover}.
         */
        function toEthSignedMessageHash(bytes memory message) internal pure returns (bytes32) {
            return
                keccak256(bytes.concat("\\x19Ethereum Signed Message:\
    ", bytes(Strings.toString(message.length)), message));
        }
        /**
         * @dev Returns the keccak256 digest of an ERC-191 signed data with version
         * `0x00` (data with intended validator).
         *
         * The digest is calculated by prefixing an arbitrary `data` with `"\\x19\\x00"` and the intended
         * `validator` address. Then hashing the result.
         *
         * See {ECDSA-recover}.
         */
        function toDataWithIntendedValidatorHash(address validator, bytes memory data) internal pure returns (bytes32) {
            return keccak256(abi.encodePacked(hex"19_00", validator, data));
        }
        /**
         * @dev Returns the keccak256 digest of an EIP-712 typed data (ERC-191 version `0x01`).
         *
         * The digest is calculated from a `domainSeparator` and a `structHash`, by prefixing them with
         * `\\x19\\x01` and hashing the result. It corresponds to the hash signed by the
         * https://eips.ethereum.org/EIPS/eip-712[`eth_signTypedData`] JSON-RPC method as part of EIP-712.
         *
         * See {ECDSA-recover}.
         */
        function toTypedDataHash(bytes32 domainSeparator, bytes32 structHash) internal pure returns (bytes32 digest) {
            assembly ("memory-safe") {
                let ptr := mload(0x40)
                mstore(ptr, hex"19_01")
                mstore(add(ptr, 0x02), domainSeparator)
                mstore(add(ptr, 0x22), structHash)
                digest := keccak256(ptr, 0x42)
            }
        }
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.1.0) (utils/ShortStrings.sol)
    pragma solidity ^0.8.20;
    import {StorageSlot} from "./StorageSlot.sol";
    // | string  | 0xAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA   |
    // | length  | 0x                                                              BB |
    type ShortString is bytes32;
    /**
     * @dev This library provides functions to convert short memory strings
     * into a `ShortString` type that can be used as an immutable variable.
     *
     * Strings of arbitrary length can be optimized using this library if
     * they are short enough (up to 31 bytes) by packing them with their
     * length (1 byte) in a single EVM word (32 bytes). Additionally, a
     * fallback mechanism can be used for every other case.
     *
     * Usage example:
     *
     * ```solidity
     * contract Named {
     *     using ShortStrings for *;
     *
     *     ShortString private immutable _name;
     *     string private _nameFallback;
     *
     *     constructor(string memory contractName) {
     *         _name = contractName.toShortStringWithFallback(_nameFallback);
     *     }
     *
     *     function name() external view returns (string memory) {
     *         return _name.toStringWithFallback(_nameFallback);
     *     }
     * }
     * ```
     */
    library ShortStrings {
        // Used as an identifier for strings longer than 31 bytes.
        bytes32 private constant FALLBACK_SENTINEL = 0x00000000000000000000000000000000000000000000000000000000000000FF;
        error StringTooLong(string str);
        error InvalidShortString();
        /**
         * @dev Encode a string of at most 31 chars into a `ShortString`.
         *
         * This will trigger a `StringTooLong` error is the input string is too long.
         */
        function toShortString(string memory str) internal pure returns (ShortString) {
            bytes memory bstr = bytes(str);
            if (bstr.length > 31) {
                revert StringTooLong(str);
            }
            return ShortString.wrap(bytes32(uint256(bytes32(bstr)) | bstr.length));
        }
        /**
         * @dev Decode a `ShortString` back to a "normal" string.
         */
        function toString(ShortString sstr) internal pure returns (string memory) {
            uint256 len = byteLength(sstr);
            // using `new string(len)` would work locally but is not memory safe.
            string memory str = new string(32);
            assembly ("memory-safe") {
                mstore(str, len)
                mstore(add(str, 0x20), sstr)
            }
            return str;
        }
        /**
         * @dev Return the length of a `ShortString`.
         */
        function byteLength(ShortString sstr) internal pure returns (uint256) {
            uint256 result = uint256(ShortString.unwrap(sstr)) & 0xFF;
            if (result > 31) {
                revert InvalidShortString();
            }
            return result;
        }
        /**
         * @dev Encode a string into a `ShortString`, or write it to storage if it is too long.
         */
        function toShortStringWithFallback(string memory value, string storage store) internal returns (ShortString) {
            if (bytes(value).length < 32) {
                return toShortString(value);
            } else {
                StorageSlot.getStringSlot(store).value = value;
                return ShortString.wrap(FALLBACK_SENTINEL);
            }
        }
        /**
         * @dev Decode a string that was encoded to `ShortString` or written to storage using {setWithFallback}.
         */
        function toStringWithFallback(ShortString value, string storage store) internal pure returns (string memory) {
            if (ShortString.unwrap(value) != FALLBACK_SENTINEL) {
                return toString(value);
            } else {
                return store;
            }
        }
        /**
         * @dev Return the length of a string that was encoded to `ShortString` or written to storage using
         * {setWithFallback}.
         *
         * WARNING: This will return the "byte length" of the string. This may not reflect the actual length in terms of
         * actual characters as the UTF-8 encoding of a single character can span over multiple bytes.
         */
        function byteLengthWithFallback(ShortString value, string storage store) internal view returns (uint256) {
            if (ShortString.unwrap(value) != FALLBACK_SENTINEL) {
                return byteLength(value);
            } else {
                return bytes(store).length;
            }
        }
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.0.0) (interfaces/IERC5267.sol)
    pragma solidity ^0.8.20;
    interface IERC5267 {
        /**
         * @dev MAY be emitted to signal that the domain could have changed.
         */
        event EIP712DomainChanged();
        /**
         * @dev returns the fields and values that describe the domain separator used by this contract for EIP-712
         * signature.
         */
        function eip712Domain()
            external
            view
            returns (
                bytes1 fields,
                string memory name,
                string memory version,
                uint256 chainId,
                address verifyingContract,
                bytes32 salt,
                uint256[] memory extensions
            );
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.0.0) (interfaces/IERC5805.sol)
    pragma solidity ^0.8.20;
    import {IVotes} from "../governance/utils/IVotes.sol";
    import {IERC6372} from "./IERC6372.sol";
    interface IERC5805 is IERC6372, IVotes {}
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.1.0) (utils/math/SafeCast.sol)
    // This file was procedurally generated from scripts/generate/templates/SafeCast.js.
    pragma solidity ^0.8.20;
    /**
     * @dev Wrappers over Solidity's uintXX/intXX/bool casting operators with added overflow
     * checks.
     *
     * Downcasting from uint256/int256 in Solidity does not revert on overflow. This can
     * easily result in undesired exploitation or bugs, since developers usually
     * assume that overflows raise errors. `SafeCast` restores this intuition by
     * reverting the transaction when such an operation overflows.
     *
     * Using this library instead of the unchecked operations eliminates an entire
     * class of bugs, so it's recommended to use it always.
     */
    library SafeCast {
        /**
         * @dev Value doesn't fit in an uint of `bits` size.
         */
        error SafeCastOverflowedUintDowncast(uint8 bits, uint256 value);
        /**
         * @dev An int value doesn't fit in an uint of `bits` size.
         */
        error SafeCastOverflowedIntToUint(int256 value);
        /**
         * @dev Value doesn't fit in an int of `bits` size.
         */
        error SafeCastOverflowedIntDowncast(uint8 bits, int256 value);
        /**
         * @dev An uint value doesn't fit in an int of `bits` size.
         */
        error SafeCastOverflowedUintToInt(uint256 value);
        /**
         * @dev Returns the downcasted uint248 from uint256, reverting on
         * overflow (when the input is greater than largest uint248).
         *
         * Counterpart to Solidity's `uint248` operator.
         *
         * Requirements:
         *
         * - input must fit into 248 bits
         */
        function toUint248(uint256 value) internal pure returns (uint248) {
            if (value > type(uint248).max) {
                revert SafeCastOverflowedUintDowncast(248, value);
            }
            return uint248(value);
        }
        /**
         * @dev Returns the downcasted uint240 from uint256, reverting on
         * overflow (when the input is greater than largest uint240).
         *
         * Counterpart to Solidity's `uint240` operator.
         *
         * Requirements:
         *
         * - input must fit into 240 bits
         */
        function toUint240(uint256 value) internal pure returns (uint240) {
            if (value > type(uint240).max) {
                revert SafeCastOverflowedUintDowncast(240, value);
            }
            return uint240(value);
        }
        /**
         * @dev Returns the downcasted uint232 from uint256, reverting on
         * overflow (when the input is greater than largest uint232).
         *
         * Counterpart to Solidity's `uint232` operator.
         *
         * Requirements:
         *
         * - input must fit into 232 bits
         */
        function toUint232(uint256 value) internal pure returns (uint232) {
            if (value > type(uint232).max) {
                revert SafeCastOverflowedUintDowncast(232, value);
            }
            return uint232(value);
        }
        /**
         * @dev Returns the downcasted uint224 from uint256, reverting on
         * overflow (when the input is greater than largest uint224).
         *
         * Counterpart to Solidity's `uint224` operator.
         *
         * Requirements:
         *
         * - input must fit into 224 bits
         */
        function toUint224(uint256 value) internal pure returns (uint224) {
            if (value > type(uint224).max) {
                revert SafeCastOverflowedUintDowncast(224, value);
            }
            return uint224(value);
        }
        /**
         * @dev Returns the downcasted uint216 from uint256, reverting on
         * overflow (when the input is greater than largest uint216).
         *
         * Counterpart to Solidity's `uint216` operator.
         *
         * Requirements:
         *
         * - input must fit into 216 bits
         */
        function toUint216(uint256 value) internal pure returns (uint216) {
            if (value > type(uint216).max) {
                revert SafeCastOverflowedUintDowncast(216, value);
            }
            return uint216(value);
        }
        /**
         * @dev Returns the downcasted uint208 from uint256, reverting on
         * overflow (when the input is greater than largest uint208).
         *
         * Counterpart to Solidity's `uint208` operator.
         *
         * Requirements:
         *
         * - input must fit into 208 bits
         */
        function toUint208(uint256 value) internal pure returns (uint208) {
            if (value > type(uint208).max) {
                revert SafeCastOverflowedUintDowncast(208, value);
            }
            return uint208(value);
        }
        /**
         * @dev Returns the downcasted uint200 from uint256, reverting on
         * overflow (when the input is greater than largest uint200).
         *
         * Counterpart to Solidity's `uint200` operator.
         *
         * Requirements:
         *
         * - input must fit into 200 bits
         */
        function toUint200(uint256 value) internal pure returns (uint200) {
            if (value > type(uint200).max) {
                revert SafeCastOverflowedUintDowncast(200, value);
            }
            return uint200(value);
        }
        /**
         * @dev Returns the downcasted uint192 from uint256, reverting on
         * overflow (when the input is greater than largest uint192).
         *
         * Counterpart to Solidity's `uint192` operator.
         *
         * Requirements:
         *
         * - input must fit into 192 bits
         */
        function toUint192(uint256 value) internal pure returns (uint192) {
            if (value > type(uint192).max) {
                revert SafeCastOverflowedUintDowncast(192, value);
            }
            return uint192(value);
        }
        /**
         * @dev Returns the downcasted uint184 from uint256, reverting on
         * overflow (when the input is greater than largest uint184).
         *
         * Counterpart to Solidity's `uint184` operator.
         *
         * Requirements:
         *
         * - input must fit into 184 bits
         */
        function toUint184(uint256 value) internal pure returns (uint184) {
            if (value > type(uint184).max) {
                revert SafeCastOverflowedUintDowncast(184, value);
            }
            return uint184(value);
        }
        /**
         * @dev Returns the downcasted uint176 from uint256, reverting on
         * overflow (when the input is greater than largest uint176).
         *
         * Counterpart to Solidity's `uint176` operator.
         *
         * Requirements:
         *
         * - input must fit into 176 bits
         */
        function toUint176(uint256 value) internal pure returns (uint176) {
            if (value > type(uint176).max) {
                revert SafeCastOverflowedUintDowncast(176, value);
            }
            return uint176(value);
        }
        /**
         * @dev Returns the downcasted uint168 from uint256, reverting on
         * overflow (when the input is greater than largest uint168).
         *
         * Counterpart to Solidity's `uint168` operator.
         *
         * Requirements:
         *
         * - input must fit into 168 bits
         */
        function toUint168(uint256 value) internal pure returns (uint168) {
            if (value > type(uint168).max) {
                revert SafeCastOverflowedUintDowncast(168, value);
            }
            return uint168(value);
        }
        /**
         * @dev Returns the downcasted uint160 from uint256, reverting on
         * overflow (when the input is greater than largest uint160).
         *
         * Counterpart to Solidity's `uint160` operator.
         *
         * Requirements:
         *
         * - input must fit into 160 bits
         */
        function toUint160(uint256 value) internal pure returns (uint160) {
            if (value > type(uint160).max) {
                revert SafeCastOverflowedUintDowncast(160, value);
            }
            return uint160(value);
        }
        /**
         * @dev Returns the downcasted uint152 from uint256, reverting on
         * overflow (when the input is greater than largest uint152).
         *
         * Counterpart to Solidity's `uint152` operator.
         *
         * Requirements:
         *
         * - input must fit into 152 bits
         */
        function toUint152(uint256 value) internal pure returns (uint152) {
            if (value > type(uint152).max) {
                revert SafeCastOverflowedUintDowncast(152, value);
            }
            return uint152(value);
        }
        /**
         * @dev Returns the downcasted uint144 from uint256, reverting on
         * overflow (when the input is greater than largest uint144).
         *
         * Counterpart to Solidity's `uint144` operator.
         *
         * Requirements:
         *
         * - input must fit into 144 bits
         */
        function toUint144(uint256 value) internal pure returns (uint144) {
            if (value > type(uint144).max) {
                revert SafeCastOverflowedUintDowncast(144, value);
            }
            return uint144(value);
        }
        /**
         * @dev Returns the downcasted uint136 from uint256, reverting on
         * overflow (when the input is greater than largest uint136).
         *
         * Counterpart to Solidity's `uint136` operator.
         *
         * Requirements:
         *
         * - input must fit into 136 bits
         */
        function toUint136(uint256 value) internal pure returns (uint136) {
            if (value > type(uint136).max) {
                revert SafeCastOverflowedUintDowncast(136, value);
            }
            return uint136(value);
        }
        /**
         * @dev Returns the downcasted uint128 from uint256, reverting on
         * overflow (when the input is greater than largest uint128).
         *
         * Counterpart to Solidity's `uint128` operator.
         *
         * Requirements:
         *
         * - input must fit into 128 bits
         */
        function toUint128(uint256 value) internal pure returns (uint128) {
            if (value > type(uint128).max) {
                revert SafeCastOverflowedUintDowncast(128, value);
            }
            return uint128(value);
        }
        /**
         * @dev Returns the downcasted uint120 from uint256, reverting on
         * overflow (when the input is greater than largest uint120).
         *
         * Counterpart to Solidity's `uint120` operator.
         *
         * Requirements:
         *
         * - input must fit into 120 bits
         */
        function toUint120(uint256 value) internal pure returns (uint120) {
            if (value > type(uint120).max) {
                revert SafeCastOverflowedUintDowncast(120, value);
            }
            return uint120(value);
        }
        /**
         * @dev Returns the downcasted uint112 from uint256, reverting on
         * overflow (when the input is greater than largest uint112).
         *
         * Counterpart to Solidity's `uint112` operator.
         *
         * Requirements:
         *
         * - input must fit into 112 bits
         */
        function toUint112(uint256 value) internal pure returns (uint112) {
            if (value > type(uint112).max) {
                revert SafeCastOverflowedUintDowncast(112, value);
            }
            return uint112(value);
        }
        /**
         * @dev Returns the downcasted uint104 from uint256, reverting on
         * overflow (when the input is greater than largest uint104).
         *
         * Counterpart to Solidity's `uint104` operator.
         *
         * Requirements:
         *
         * - input must fit into 104 bits
         */
        function toUint104(uint256 value) internal pure returns (uint104) {
            if (value > type(uint104).max) {
                revert SafeCastOverflowedUintDowncast(104, value);
            }
            return uint104(value);
        }
        /**
         * @dev Returns the downcasted uint96 from uint256, reverting on
         * overflow (when the input is greater than largest uint96).
         *
         * Counterpart to Solidity's `uint96` operator.
         *
         * Requirements:
         *
         * - input must fit into 96 bits
         */
        function toUint96(uint256 value) internal pure returns (uint96) {
            if (value > type(uint96).max) {
                revert SafeCastOverflowedUintDowncast(96, value);
            }
            return uint96(value);
        }
        /**
         * @dev Returns the downcasted uint88 from uint256, reverting on
         * overflow (when the input is greater than largest uint88).
         *
         * Counterpart to Solidity's `uint88` operator.
         *
         * Requirements:
         *
         * - input must fit into 88 bits
         */
        function toUint88(uint256 value) internal pure returns (uint88) {
            if (value > type(uint88).max) {
                revert SafeCastOverflowedUintDowncast(88, value);
            }
            return uint88(value);
        }
        /**
         * @dev Returns the downcasted uint80 from uint256, reverting on
         * overflow (when the input is greater than largest uint80).
         *
         * Counterpart to Solidity's `uint80` operator.
         *
         * Requirements:
         *
         * - input must fit into 80 bits
         */
        function toUint80(uint256 value) internal pure returns (uint80) {
            if (value > type(uint80).max) {
                revert SafeCastOverflowedUintDowncast(80, value);
            }
            return uint80(value);
        }
        /**
         * @dev Returns the downcasted uint72 from uint256, reverting on
         * overflow (when the input is greater than largest uint72).
         *
         * Counterpart to Solidity's `uint72` operator.
         *
         * Requirements:
         *
         * - input must fit into 72 bits
         */
        function toUint72(uint256 value) internal pure returns (uint72) {
            if (value > type(uint72).max) {
                revert SafeCastOverflowedUintDowncast(72, value);
            }
            return uint72(value);
        }
        /**
         * @dev Returns the downcasted uint64 from uint256, reverting on
         * overflow (when the input is greater than largest uint64).
         *
         * Counterpart to Solidity's `uint64` operator.
         *
         * Requirements:
         *
         * - input must fit into 64 bits
         */
        function toUint64(uint256 value) internal pure returns (uint64) {
            if (value > type(uint64).max) {
                revert SafeCastOverflowedUintDowncast(64, value);
            }
            return uint64(value);
        }
        /**
         * @dev Returns the downcasted uint56 from uint256, reverting on
         * overflow (when the input is greater than largest uint56).
         *
         * Counterpart to Solidity's `uint56` operator.
         *
         * Requirements:
         *
         * - input must fit into 56 bits
         */
        function toUint56(uint256 value) internal pure returns (uint56) {
            if (value > type(uint56).max) {
                revert SafeCastOverflowedUintDowncast(56, value);
            }
            return uint56(value);
        }
        /**
         * @dev Returns the downcasted uint48 from uint256, reverting on
         * overflow (when the input is greater than largest uint48).
         *
         * Counterpart to Solidity's `uint48` operator.
         *
         * Requirements:
         *
         * - input must fit into 48 bits
         */
        function toUint48(uint256 value) internal pure returns (uint48) {
            if (value > type(uint48).max) {
                revert SafeCastOverflowedUintDowncast(48, value);
            }
            return uint48(value);
        }
        /**
         * @dev Returns the downcasted uint40 from uint256, reverting on
         * overflow (when the input is greater than largest uint40).
         *
         * Counterpart to Solidity's `uint40` operator.
         *
         * Requirements:
         *
         * - input must fit into 40 bits
         */
        function toUint40(uint256 value) internal pure returns (uint40) {
            if (value > type(uint40).max) {
                revert SafeCastOverflowedUintDowncast(40, value);
            }
            return uint40(value);
        }
        /**
         * @dev Returns the downcasted uint32 from uint256, reverting on
         * overflow (when the input is greater than largest uint32).
         *
         * Counterpart to Solidity's `uint32` operator.
         *
         * Requirements:
         *
         * - input must fit into 32 bits
         */
        function toUint32(uint256 value) internal pure returns (uint32) {
            if (value > type(uint32).max) {
                revert SafeCastOverflowedUintDowncast(32, value);
            }
            return uint32(value);
        }
        /**
         * @dev Returns the downcasted uint24 from uint256, reverting on
         * overflow (when the input is greater than largest uint24).
         *
         * Counterpart to Solidity's `uint24` operator.
         *
         * Requirements:
         *
         * - input must fit into 24 bits
         */
        function toUint24(uint256 value) internal pure returns (uint24) {
            if (value > type(uint24).max) {
                revert SafeCastOverflowedUintDowncast(24, value);
            }
            return uint24(value);
        }
        /**
         * @dev Returns the downcasted uint16 from uint256, reverting on
         * overflow (when the input is greater than largest uint16).
         *
         * Counterpart to Solidity's `uint16` operator.
         *
         * Requirements:
         *
         * - input must fit into 16 bits
         */
        function toUint16(uint256 value) internal pure returns (uint16) {
            if (value > type(uint16).max) {
                revert SafeCastOverflowedUintDowncast(16, value);
            }
            return uint16(value);
        }
        /**
         * @dev Returns the downcasted uint8 from uint256, reverting on
         * overflow (when the input is greater than largest uint8).
         *
         * Counterpart to Solidity's `uint8` operator.
         *
         * Requirements:
         *
         * - input must fit into 8 bits
         */
        function toUint8(uint256 value) internal pure returns (uint8) {
            if (value > type(uint8).max) {
                revert SafeCastOverflowedUintDowncast(8, value);
            }
            return uint8(value);
        }
        /**
         * @dev Converts a signed int256 into an unsigned uint256.
         *
         * Requirements:
         *
         * - input must be greater than or equal to 0.
         */
        function toUint256(int256 value) internal pure returns (uint256) {
            if (value < 0) {
                revert SafeCastOverflowedIntToUint(value);
            }
            return uint256(value);
        }
        /**
         * @dev Returns the downcasted int248 from int256, reverting on
         * overflow (when the input is less than smallest int248 or
         * greater than largest int248).
         *
         * Counterpart to Solidity's `int248` operator.
         *
         * Requirements:
         *
         * - input must fit into 248 bits
         */
        function toInt248(int256 value) internal pure returns (int248 downcasted) {
            downcasted = int248(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(248, value);
            }
        }
        /**
         * @dev Returns the downcasted int240 from int256, reverting on
         * overflow (when the input is less than smallest int240 or
         * greater than largest int240).
         *
         * Counterpart to Solidity's `int240` operator.
         *
         * Requirements:
         *
         * - input must fit into 240 bits
         */
        function toInt240(int256 value) internal pure returns (int240 downcasted) {
            downcasted = int240(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(240, value);
            }
        }
        /**
         * @dev Returns the downcasted int232 from int256, reverting on
         * overflow (when the input is less than smallest int232 or
         * greater than largest int232).
         *
         * Counterpart to Solidity's `int232` operator.
         *
         * Requirements:
         *
         * - input must fit into 232 bits
         */
        function toInt232(int256 value) internal pure returns (int232 downcasted) {
            downcasted = int232(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(232, value);
            }
        }
        /**
         * @dev Returns the downcasted int224 from int256, reverting on
         * overflow (when the input is less than smallest int224 or
         * greater than largest int224).
         *
         * Counterpart to Solidity's `int224` operator.
         *
         * Requirements:
         *
         * - input must fit into 224 bits
         */
        function toInt224(int256 value) internal pure returns (int224 downcasted) {
            downcasted = int224(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(224, value);
            }
        }
        /**
         * @dev Returns the downcasted int216 from int256, reverting on
         * overflow (when the input is less than smallest int216 or
         * greater than largest int216).
         *
         * Counterpart to Solidity's `int216` operator.
         *
         * Requirements:
         *
         * - input must fit into 216 bits
         */
        function toInt216(int256 value) internal pure returns (int216 downcasted) {
            downcasted = int216(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(216, value);
            }
        }
        /**
         * @dev Returns the downcasted int208 from int256, reverting on
         * overflow (when the input is less than smallest int208 or
         * greater than largest int208).
         *
         * Counterpart to Solidity's `int208` operator.
         *
         * Requirements:
         *
         * - input must fit into 208 bits
         */
        function toInt208(int256 value) internal pure returns (int208 downcasted) {
            downcasted = int208(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(208, value);
            }
        }
        /**
         * @dev Returns the downcasted int200 from int256, reverting on
         * overflow (when the input is less than smallest int200 or
         * greater than largest int200).
         *
         * Counterpart to Solidity's `int200` operator.
         *
         * Requirements:
         *
         * - input must fit into 200 bits
         */
        function toInt200(int256 value) internal pure returns (int200 downcasted) {
            downcasted = int200(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(200, value);
            }
        }
        /**
         * @dev Returns the downcasted int192 from int256, reverting on
         * overflow (when the input is less than smallest int192 or
         * greater than largest int192).
         *
         * Counterpart to Solidity's `int192` operator.
         *
         * Requirements:
         *
         * - input must fit into 192 bits
         */
        function toInt192(int256 value) internal pure returns (int192 downcasted) {
            downcasted = int192(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(192, value);
            }
        }
        /**
         * @dev Returns the downcasted int184 from int256, reverting on
         * overflow (when the input is less than smallest int184 or
         * greater than largest int184).
         *
         * Counterpart to Solidity's `int184` operator.
         *
         * Requirements:
         *
         * - input must fit into 184 bits
         */
        function toInt184(int256 value) internal pure returns (int184 downcasted) {
            downcasted = int184(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(184, value);
            }
        }
        /**
         * @dev Returns the downcasted int176 from int256, reverting on
         * overflow (when the input is less than smallest int176 or
         * greater than largest int176).
         *
         * Counterpart to Solidity's `int176` operator.
         *
         * Requirements:
         *
         * - input must fit into 176 bits
         */
        function toInt176(int256 value) internal pure returns (int176 downcasted) {
            downcasted = int176(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(176, value);
            }
        }
        /**
         * @dev Returns the downcasted int168 from int256, reverting on
         * overflow (when the input is less than smallest int168 or
         * greater than largest int168).
         *
         * Counterpart to Solidity's `int168` operator.
         *
         * Requirements:
         *
         * - input must fit into 168 bits
         */
        function toInt168(int256 value) internal pure returns (int168 downcasted) {
            downcasted = int168(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(168, value);
            }
        }
        /**
         * @dev Returns the downcasted int160 from int256, reverting on
         * overflow (when the input is less than smallest int160 or
         * greater than largest int160).
         *
         * Counterpart to Solidity's `int160` operator.
         *
         * Requirements:
         *
         * - input must fit into 160 bits
         */
        function toInt160(int256 value) internal pure returns (int160 downcasted) {
            downcasted = int160(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(160, value);
            }
        }
        /**
         * @dev Returns the downcasted int152 from int256, reverting on
         * overflow (when the input is less than smallest int152 or
         * greater than largest int152).
         *
         * Counterpart to Solidity's `int152` operator.
         *
         * Requirements:
         *
         * - input must fit into 152 bits
         */
        function toInt152(int256 value) internal pure returns (int152 downcasted) {
            downcasted = int152(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(152, value);
            }
        }
        /**
         * @dev Returns the downcasted int144 from int256, reverting on
         * overflow (when the input is less than smallest int144 or
         * greater than largest int144).
         *
         * Counterpart to Solidity's `int144` operator.
         *
         * Requirements:
         *
         * - input must fit into 144 bits
         */
        function toInt144(int256 value) internal pure returns (int144 downcasted) {
            downcasted = int144(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(144, value);
            }
        }
        /**
         * @dev Returns the downcasted int136 from int256, reverting on
         * overflow (when the input is less than smallest int136 or
         * greater than largest int136).
         *
         * Counterpart to Solidity's `int136` operator.
         *
         * Requirements:
         *
         * - input must fit into 136 bits
         */
        function toInt136(int256 value) internal pure returns (int136 downcasted) {
            downcasted = int136(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(136, value);
            }
        }
        /**
         * @dev Returns the downcasted int128 from int256, reverting on
         * overflow (when the input is less than smallest int128 or
         * greater than largest int128).
         *
         * Counterpart to Solidity's `int128` operator.
         *
         * Requirements:
         *
         * - input must fit into 128 bits
         */
        function toInt128(int256 value) internal pure returns (int128 downcasted) {
            downcasted = int128(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(128, value);
            }
        }
        /**
         * @dev Returns the downcasted int120 from int256, reverting on
         * overflow (when the input is less than smallest int120 or
         * greater than largest int120).
         *
         * Counterpart to Solidity's `int120` operator.
         *
         * Requirements:
         *
         * - input must fit into 120 bits
         */
        function toInt120(int256 value) internal pure returns (int120 downcasted) {
            downcasted = int120(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(120, value);
            }
        }
        /**
         * @dev Returns the downcasted int112 from int256, reverting on
         * overflow (when the input is less than smallest int112 or
         * greater than largest int112).
         *
         * Counterpart to Solidity's `int112` operator.
         *
         * Requirements:
         *
         * - input must fit into 112 bits
         */
        function toInt112(int256 value) internal pure returns (int112 downcasted) {
            downcasted = int112(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(112, value);
            }
        }
        /**
         * @dev Returns the downcasted int104 from int256, reverting on
         * overflow (when the input is less than smallest int104 or
         * greater than largest int104).
         *
         * Counterpart to Solidity's `int104` operator.
         *
         * Requirements:
         *
         * - input must fit into 104 bits
         */
        function toInt104(int256 value) internal pure returns (int104 downcasted) {
            downcasted = int104(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(104, value);
            }
        }
        /**
         * @dev Returns the downcasted int96 from int256, reverting on
         * overflow (when the input is less than smallest int96 or
         * greater than largest int96).
         *
         * Counterpart to Solidity's `int96` operator.
         *
         * Requirements:
         *
         * - input must fit into 96 bits
         */
        function toInt96(int256 value) internal pure returns (int96 downcasted) {
            downcasted = int96(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(96, value);
            }
        }
        /**
         * @dev Returns the downcasted int88 from int256, reverting on
         * overflow (when the input is less than smallest int88 or
         * greater than largest int88).
         *
         * Counterpart to Solidity's `int88` operator.
         *
         * Requirements:
         *
         * - input must fit into 88 bits
         */
        function toInt88(int256 value) internal pure returns (int88 downcasted) {
            downcasted = int88(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(88, value);
            }
        }
        /**
         * @dev Returns the downcasted int80 from int256, reverting on
         * overflow (when the input is less than smallest int80 or
         * greater than largest int80).
         *
         * Counterpart to Solidity's `int80` operator.
         *
         * Requirements:
         *
         * - input must fit into 80 bits
         */
        function toInt80(int256 value) internal pure returns (int80 downcasted) {
            downcasted = int80(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(80, value);
            }
        }
        /**
         * @dev Returns the downcasted int72 from int256, reverting on
         * overflow (when the input is less than smallest int72 or
         * greater than largest int72).
         *
         * Counterpart to Solidity's `int72` operator.
         *
         * Requirements:
         *
         * - input must fit into 72 bits
         */
        function toInt72(int256 value) internal pure returns (int72 downcasted) {
            downcasted = int72(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(72, value);
            }
        }
        /**
         * @dev Returns the downcasted int64 from int256, reverting on
         * overflow (when the input is less than smallest int64 or
         * greater than largest int64).
         *
         * Counterpart to Solidity's `int64` operator.
         *
         * Requirements:
         *
         * - input must fit into 64 bits
         */
        function toInt64(int256 value) internal pure returns (int64 downcasted) {
            downcasted = int64(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(64, value);
            }
        }
        /**
         * @dev Returns the downcasted int56 from int256, reverting on
         * overflow (when the input is less than smallest int56 or
         * greater than largest int56).
         *
         * Counterpart to Solidity's `int56` operator.
         *
         * Requirements:
         *
         * - input must fit into 56 bits
         */
        function toInt56(int256 value) internal pure returns (int56 downcasted) {
            downcasted = int56(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(56, value);
            }
        }
        /**
         * @dev Returns the downcasted int48 from int256, reverting on
         * overflow (when the input is less than smallest int48 or
         * greater than largest int48).
         *
         * Counterpart to Solidity's `int48` operator.
         *
         * Requirements:
         *
         * - input must fit into 48 bits
         */
        function toInt48(int256 value) internal pure returns (int48 downcasted) {
            downcasted = int48(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(48, value);
            }
        }
        /**
         * @dev Returns the downcasted int40 from int256, reverting on
         * overflow (when the input is less than smallest int40 or
         * greater than largest int40).
         *
         * Counterpart to Solidity's `int40` operator.
         *
         * Requirements:
         *
         * - input must fit into 40 bits
         */
        function toInt40(int256 value) internal pure returns (int40 downcasted) {
            downcasted = int40(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(40, value);
            }
        }
        /**
         * @dev Returns the downcasted int32 from int256, reverting on
         * overflow (when the input is less than smallest int32 or
         * greater than largest int32).
         *
         * Counterpart to Solidity's `int32` operator.
         *
         * Requirements:
         *
         * - input must fit into 32 bits
         */
        function toInt32(int256 value) internal pure returns (int32 downcasted) {
            downcasted = int32(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(32, value);
            }
        }
        /**
         * @dev Returns the downcasted int24 from int256, reverting on
         * overflow (when the input is less than smallest int24 or
         * greater than largest int24).
         *
         * Counterpart to Solidity's `int24` operator.
         *
         * Requirements:
         *
         * - input must fit into 24 bits
         */
        function toInt24(int256 value) internal pure returns (int24 downcasted) {
            downcasted = int24(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(24, value);
            }
        }
        /**
         * @dev Returns the downcasted int16 from int256, reverting on
         * overflow (when the input is less than smallest int16 or
         * greater than largest int16).
         *
         * Counterpart to Solidity's `int16` operator.
         *
         * Requirements:
         *
         * - input must fit into 16 bits
         */
        function toInt16(int256 value) internal pure returns (int16 downcasted) {
            downcasted = int16(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(16, value);
            }
        }
        /**
         * @dev Returns the downcasted int8 from int256, reverting on
         * overflow (when the input is less than smallest int8 or
         * greater than largest int8).
         *
         * Counterpart to Solidity's `int8` operator.
         *
         * Requirements:
         *
         * - input must fit into 8 bits
         */
        function toInt8(int256 value) internal pure returns (int8 downcasted) {
            downcasted = int8(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(8, value);
            }
        }
        /**
         * @dev Converts an unsigned uint256 into a signed int256.
         *
         * Requirements:
         *
         * - input must be less than or equal to maxInt256.
         */
        function toInt256(uint256 value) internal pure returns (int256) {
            // Note: Unsafe cast below is okay because `type(int256).max` is guaranteed to be positive
            if (value > uint256(type(int256).max)) {
                revert SafeCastOverflowedUintToInt(value);
            }
            return int256(value);
        }
        /**
         * @dev Cast a boolean (false or true) to a uint256 (0 or 1) with no jump.
         */
        function toUint(bool b) internal pure returns (uint256 u) {
            assembly ("memory-safe") {
                u := iszero(iszero(b))
            }
        }
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.1.0) (utils/types/Time.sol)
    pragma solidity ^0.8.20;
    import {Math} from "../math/Math.sol";
    import {SafeCast} from "../math/SafeCast.sol";
    /**
     * @dev This library provides helpers for manipulating time-related objects.
     *
     * It uses the following types:
     * - `uint48` for timepoints
     * - `uint32` for durations
     *
     * While the library doesn't provide specific types for timepoints and duration, it does provide:
     * - a `Delay` type to represent duration that can be programmed to change value automatically at a given point
     * - additional helper functions
     */
    library Time {
        using Time for *;
        /**
         * @dev Get the block timestamp as a Timepoint.
         */
        function timestamp() internal view returns (uint48) {
            return SafeCast.toUint48(block.timestamp);
        }
        /**
         * @dev Get the block number as a Timepoint.
         */
        function blockNumber() internal view returns (uint48) {
            return SafeCast.toUint48(block.number);
        }
        // ==================================================== Delay =====================================================
        /**
         * @dev A `Delay` is a uint32 duration that can be programmed to change value automatically at a given point in the
         * future. The "effect" timepoint describes when the transitions happens from the "old" value to the "new" value.
         * This allows updating the delay applied to some operation while keeping some guarantees.
         *
         * In particular, the {update} function guarantees that if the delay is reduced, the old delay still applies for
         * some time. For example if the delay is currently 7 days to do an upgrade, the admin should not be able to set
         * the delay to 0 and upgrade immediately. If the admin wants to reduce the delay, the old delay (7 days) should
         * still apply for some time.
         *
         *
         * The `Delay` type is 112 bits long, and packs the following:
         *
         * ```
         *   | [uint48]: effect date (timepoint)
         *   |           | [uint32]: value before (duration)
         *   ↓           ↓       ↓ [uint32]: value after (duration)
         * 0xAAAAAAAAAAAABBBBBBBBCCCCCCCC
         * ```
         *
         * NOTE: The {get} and {withUpdate} functions operate using timestamps. Block number based delays are not currently
         * supported.
         */
        type Delay is uint112;
        /**
         * @dev Wrap a duration into a Delay to add the one-step "update in the future" feature
         */
        function toDelay(uint32 duration) internal pure returns (Delay) {
            return Delay.wrap(duration);
        }
        /**
         * @dev Get the value at a given timepoint plus the pending value and effect timepoint if there is a scheduled
         * change after this timepoint. If the effect timepoint is 0, then the pending value should not be considered.
         */
        function _getFullAt(
            Delay self,
            uint48 timepoint
        ) private pure returns (uint32 valueBefore, uint32 valueAfter, uint48 effect) {
            (valueBefore, valueAfter, 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 valueBefore, uint32 valueAfter, uint48 effect) {
            return _getFullAt(self, timestamp());
        }
        /**
         * @dev Get the current value.
         */
        function get(Delay self) internal view returns (uint32) {
            (uint32 delay, , ) = self.getFull();
            return delay;
        }
        /**
         * @dev Update a Delay object so that it takes a new duration after a timepoint that is automatically computed to
         * enforce the old delay at the moment of the update. Returns the updated Delay object and the timestamp when the
         * new delay becomes effective.
         */
        function withUpdate(
            Delay self,
            uint32 newValue,
            uint32 minSetback
        ) internal view returns (Delay updatedDelay, uint48 effect) {
            uint32 value = self.get();
            uint32 setback = uint32(Math.max(minSetback, value > newValue ? value - newValue : 0));
            effect = timestamp() + setback;
            return (pack(value, newValue, effect), effect);
        }
        /**
         * @dev Split a delay into its components: valueBefore, valueAfter and effect (transition timepoint).
         */
        function unpack(Delay self) internal pure returns (uint32 valueBefore, uint32 valueAfter, uint48 effect) {
            uint112 raw = Delay.unwrap(self);
            valueAfter = uint32(raw);
            valueBefore = uint32(raw >> 32);
            effect = uint48(raw >> 64);
            return (valueBefore, valueAfter, effect);
        }
        /**
         * @dev pack the components into a Delay object.
         */
        function pack(uint32 valueBefore, uint32 valueAfter, uint48 effect) internal pure returns (Delay) {
            return Delay.wrap((uint112(effect) << 64) | (uint112(valueBefore) << 32) | uint112(valueAfter));
        }
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.1.0) (utils/math/Math.sol)
    pragma solidity ^0.8.20;
    import {Panic} from "../Panic.sol";
    import {SafeCast} from "./SafeCast.sol";
    /**
     * @dev Standard math utilities missing in the Solidity language.
     */
    library Math {
        enum Rounding {
            Floor, // Toward negative infinity
            Ceil, // Toward positive infinity
            Trunc, // Toward zero
            Expand // Away from zero
        }
        /**
         * @dev Returns the addition of two unsigned integers, with an success flag (no overflow).
         */
        function tryAdd(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {
            unchecked {
                uint256 c = a + b;
                if (c < a) return (false, 0);
                return (true, c);
            }
        }
        /**
         * @dev Returns the subtraction of two unsigned integers, with an success flag (no overflow).
         */
        function trySub(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {
            unchecked {
                if (b > a) return (false, 0);
                return (true, a - b);
            }
        }
        /**
         * @dev Returns the multiplication of two unsigned integers, with an success flag (no overflow).
         */
        function tryMul(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {
            unchecked {
                // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
                // benefit is lost if 'b' is also tested.
                // See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522
                if (a == 0) return (true, 0);
                uint256 c = a * b;
                if (c / a != b) return (false, 0);
                return (true, c);
            }
        }
        /**
         * @dev Returns the division of two unsigned integers, with a success flag (no division by zero).
         */
        function tryDiv(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {
            unchecked {
                if (b == 0) return (false, 0);
                return (true, a / b);
            }
        }
        /**
         * @dev Returns the remainder of dividing two unsigned integers, with a success flag (no division by zero).
         */
        function tryMod(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {
            unchecked {
                if (b == 0) return (false, 0);
                return (true, a % b);
            }
        }
        /**
         * @dev Branchless ternary evaluation for `a ? b : c`. Gas costs are constant.
         *
         * IMPORTANT: This function may reduce bytecode size and consume less gas when used standalone.
         * However, the compiler may optimize Solidity ternary operations (i.e. `a ? b : c`) to only compute
         * one branch when needed, making this function more expensive.
         */
        function ternary(bool condition, uint256 a, uint256 b) internal pure returns (uint256) {
            unchecked {
                // branchless ternary works because:
                // b ^ (a ^ b) == a
                // b ^ 0 == b
                return b ^ ((a ^ b) * SafeCast.toUint(condition));
            }
        }
        /**
         * @dev Returns the largest of two numbers.
         */
        function max(uint256 a, uint256 b) internal pure returns (uint256) {
            return ternary(a > b, a, b);
        }
        /**
         * @dev Returns the smallest of two numbers.
         */
        function min(uint256 a, uint256 b) internal pure returns (uint256) {
            return ternary(a < b, a, b);
        }
        /**
         * @dev Returns the average of two numbers. The result is rounded towards
         * zero.
         */
        function average(uint256 a, uint256 b) internal pure returns (uint256) {
            // (a + b) / 2 can overflow.
            return (a & b) + (a ^ b) / 2;
        }
        /**
         * @dev Returns the ceiling of the division of two numbers.
         *
         * This differs from standard division with `/` in that it rounds towards infinity instead
         * of rounding towards zero.
         */
        function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) {
            if (b == 0) {
                // Guarantee the same behavior as in a regular Solidity division.
                Panic.panic(Panic.DIVISION_BY_ZERO);
            }
            // The following calculation ensures accurate ceiling division without overflow.
            // Since a is non-zero, (a - 1) / b will not overflow.
            // The largest possible result occurs when (a - 1) / b is type(uint256).max,
            // but the largest value we can obtain is type(uint256).max - 1, which happens
            // when a = type(uint256).max and b = 1.
            unchecked {
                return SafeCast.toUint(a > 0) * ((a - 1) / b + 1);
            }
        }
        /**
         * @dev Calculates floor(x * y / denominator) with full precision. Throws if result overflows a uint256 or
         * denominator == 0.
         *
         * Original credit to Remco Bloemen under MIT license (https://xn--2-umb.com/21/muldiv) with further edits by
         * Uniswap Labs also under MIT license.
         */
        function mulDiv(uint256 x, uint256 y, uint256 denominator) internal pure returns (uint256 result) {
            unchecked {
                // 512-bit multiply [prod1 prod0] = x * y. Compute the product mod 2²⁵⁶ and mod 2²⁵⁶ - 1, then use
                // the Chinese Remainder Theorem to reconstruct the 512 bit result. The result is stored in two 256
                // variables such that product = prod1 * 2²⁵⁶ + prod0.
                uint256 prod0 = x * y; // Least significant 256 bits of the product
                uint256 prod1; // Most significant 256 bits of the product
                assembly {
                    let mm := mulmod(x, y, not(0))
                    prod1 := sub(sub(mm, prod0), lt(mm, prod0))
                }
                // Handle non-overflow cases, 256 by 256 division.
                if (prod1 == 0) {
                    // Solidity will revert if denominator == 0, unlike the div opcode on its own.
                    // The surrounding unchecked block does not change this fact.
                    // See https://docs.soliditylang.org/en/latest/control-structures.html#checked-or-unchecked-arithmetic.
                    return prod0 / denominator;
                }
                // Make sure the result is less than 2²⁵⁶. Also prevents denominator == 0.
                if (denominator <= prod1) {
                    Panic.panic(ternary(denominator == 0, Panic.DIVISION_BY_ZERO, Panic.UNDER_OVERFLOW));
                }
                ///////////////////////////////////////////////
                // 512 by 256 division.
                ///////////////////////////////////////////////
                // Make division exact by subtracting the remainder from [prod1 prod0].
                uint256 remainder;
                assembly {
                    // Compute remainder using mulmod.
                    remainder := mulmod(x, y, denominator)
                    // Subtract 256 bit number from 512 bit number.
                    prod1 := sub(prod1, gt(remainder, prod0))
                    prod0 := sub(prod0, remainder)
                }
                // Factor powers of two out of denominator and compute largest power of two divisor of denominator.
                // Always >= 1. See https://cs.stackexchange.com/q/138556/92363.
                uint256 twos = denominator & (0 - denominator);
                assembly {
                    // Divide denominator by twos.
                    denominator := div(denominator, twos)
                    // Divide [prod1 prod0] by twos.
                    prod0 := div(prod0, twos)
                    // Flip twos such that it is 2²⁵⁶ / twos. If twos is zero, then it becomes one.
                    twos := add(div(sub(0, twos), twos), 1)
                }
                // Shift in bits from prod1 into prod0.
                prod0 |= prod1 * twos;
                // Invert denominator mod 2²⁵⁶. Now that denominator is an odd number, it has an inverse modulo 2²⁵⁶ such
                // that denominator * inv ≡ 1 mod 2²⁵⁶. Compute the inverse by starting with a seed that is correct for
                // four bits. That is, denominator * inv ≡ 1 mod 2⁴.
                uint256 inverse = (3 * denominator) ^ 2;
                // Use the Newton-Raphson iteration to improve the precision. Thanks to Hensel's lifting lemma, this also
                // works in modular arithmetic, doubling the correct bits in each step.
                inverse *= 2 - denominator * inverse; // inverse mod 2⁸
                inverse *= 2 - denominator * inverse; // inverse mod 2¹⁶
                inverse *= 2 - denominator * inverse; // inverse mod 2³²
                inverse *= 2 - denominator * inverse; // inverse mod 2⁶⁴
                inverse *= 2 - denominator * inverse; // inverse mod 2¹²⁸
                inverse *= 2 - denominator * inverse; // inverse mod 2²⁵⁶
                // Because the division is now exact we can divide by multiplying with the modular inverse of denominator.
                // This will give us the correct result modulo 2²⁵⁶. Since the preconditions guarantee that the outcome is
                // less than 2²⁵⁶, this is the final result. We don't need to compute the high bits of the result and prod1
                // is no longer required.
                result = prod0 * inverse;
                return result;
            }
        }
        /**
         * @dev Calculates x * y / denominator with full precision, following the selected rounding direction.
         */
        function mulDiv(uint256 x, uint256 y, uint256 denominator, Rounding rounding) internal pure returns (uint256) {
            return mulDiv(x, y, denominator) + SafeCast.toUint(unsignedRoundsUp(rounding) && mulmod(x, y, denominator) > 0);
        }
        /**
         * @dev Calculate the modular multiplicative inverse of a number in Z/nZ.
         *
         * If n is a prime, then Z/nZ is a field. In that case all elements are inversible, except 0.
         * If n is not a prime, then Z/nZ is not a field, and some elements might not be inversible.
         *
         * If the input value is not inversible, 0 is returned.
         *
         * NOTE: If you know for sure that n is (big) a prime, it may be cheaper to use Fermat's little theorem and get the
         * inverse using `Math.modExp(a, n - 2, n)`. See {invModPrime}.
         */
        function invMod(uint256 a, uint256 n) internal pure returns (uint256) {
            unchecked {
                if (n == 0) return 0;
                // The inverse modulo is calculated using the Extended Euclidean Algorithm (iterative version)
                // Used to compute integers x and y such that: ax + ny = gcd(a, n).
                // When the gcd is 1, then the inverse of a modulo n exists and it's x.
                // ax + ny = 1
                // ax = 1 + (-y)n
                // ax ≡ 1 (mod n) # x is the inverse of a modulo n
                // If the remainder is 0 the gcd is n right away.
                uint256 remainder = a % n;
                uint256 gcd = n;
                // Therefore the initial coefficients are:
                // ax + ny = gcd(a, n) = n
                // 0a + 1n = n
                int256 x = 0;
                int256 y = 1;
                while (remainder != 0) {
                    uint256 quotient = gcd / remainder;
                    (gcd, remainder) = (
                        // The old remainder is the next gcd to try.
                        remainder,
                        // Compute the next remainder.
                        // Can't overflow given that (a % gcd) * (gcd // (a % gcd)) <= gcd
                        // where gcd is at most n (capped to type(uint256).max)
                        gcd - remainder * quotient
                    );
                    (x, y) = (
                        // Increment the coefficient of a.
                        y,
                        // Decrement the coefficient of n.
                        // Can overflow, but the result is casted to uint256 so that the
                        // next value of y is "wrapped around" to a value between 0 and n - 1.
                        x - y * int256(quotient)
                    );
                }
                if (gcd != 1) return 0; // No inverse exists.
                return ternary(x < 0, n - uint256(-x), uint256(x)); // Wrap the result if it's negative.
            }
        }
        /**
         * @dev Variant of {invMod}. More efficient, but only works if `p` is known to be a prime greater than `2`.
         *
         * From https://en.wikipedia.org/wiki/Fermat%27s_little_theorem[Fermat's little theorem], we know that if p is
         * prime, then `a**(p-1) ≡ 1 mod p`. As a consequence, we have `a * a**(p-2) ≡ 1 mod p`, which means that
         * `a**(p-2)` is the modular multiplicative inverse of a in Fp.
         *
         * NOTE: this function does NOT check that `p` is a prime greater than `2`.
         */
        function invModPrime(uint256 a, uint256 p) internal view returns (uint256) {
            unchecked {
                return Math.modExp(a, p - 2, p);
            }
        }
        /**
         * @dev Returns the modular exponentiation of the specified base, exponent and modulus (b ** e % m)
         *
         * Requirements:
         * - modulus can't be zero
         * - underlying staticcall to precompile must succeed
         *
         * IMPORTANT: The result is only valid if the underlying call succeeds. When using this function, make
         * sure the chain you're using it on supports the precompiled contract for modular exponentiation
         * at address 0x05 as specified in https://eips.ethereum.org/EIPS/eip-198[EIP-198]. Otherwise,
         * the underlying function will succeed given the lack of a revert, but the result may be incorrectly
         * interpreted as 0.
         */
        function modExp(uint256 b, uint256 e, uint256 m) internal view returns (uint256) {
            (bool success, uint256 result) = tryModExp(b, e, m);
            if (!success) {
                Panic.panic(Panic.DIVISION_BY_ZERO);
            }
            return result;
        }
        /**
         * @dev Returns the modular exponentiation of the specified base, exponent and modulus (b ** e % m).
         * It includes a success flag indicating if the operation succeeded. Operation will be marked as failed if trying
         * to operate modulo 0 or if the underlying precompile reverted.
         *
         * IMPORTANT: The result is only valid if the success flag is true. When using this function, make sure the chain
         * you're using it on supports the precompiled contract for modular exponentiation at address 0x05 as specified in
         * https://eips.ethereum.org/EIPS/eip-198[EIP-198]. Otherwise, the underlying function will succeed given the lack
         * of a revert, but the result may be incorrectly interpreted as 0.
         */
        function tryModExp(uint256 b, uint256 e, uint256 m) internal view returns (bool success, uint256 result) {
            if (m == 0) return (false, 0);
            assembly ("memory-safe") {
                let ptr := mload(0x40)
                // | Offset    | Content    | Content (Hex)                                                      |
                // |-----------|------------|--------------------------------------------------------------------|
                // | 0x00:0x1f | size of b  | 0x0000000000000000000000000000000000000000000000000000000000000020 |
                // | 0x20:0x3f | size of e  | 0x0000000000000000000000000000000000000000000000000000000000000020 |
                // | 0x40:0x5f | size of m  | 0x0000000000000000000000000000000000000000000000000000000000000020 |
                // | 0x60:0x7f | value of b | 0x<.............................................................b> |
                // | 0x80:0x9f | value of e | 0x<.............................................................e> |
                // | 0xa0:0xbf | value of m | 0x<.............................................................m> |
                mstore(ptr, 0x20)
                mstore(add(ptr, 0x20), 0x20)
                mstore(add(ptr, 0x40), 0x20)
                mstore(add(ptr, 0x60), b)
                mstore(add(ptr, 0x80), e)
                mstore(add(ptr, 0xa0), m)
                // Given the result < m, it's guaranteed to fit in 32 bytes,
                // so we can use the memory scratch space located at offset 0.
                success := staticcall(gas(), 0x05, ptr, 0xc0, 0x00, 0x20)
                result := mload(0x00)
            }
        }
        /**
         * @dev Variant of {modExp} that supports inputs of arbitrary length.
         */
        function modExp(bytes memory b, bytes memory e, bytes memory m) internal view returns (bytes memory) {
            (bool success, bytes memory result) = tryModExp(b, e, m);
            if (!success) {
                Panic.panic(Panic.DIVISION_BY_ZERO);
            }
            return result;
        }
        /**
         * @dev Variant of {tryModExp} that supports inputs of arbitrary length.
         */
        function tryModExp(
            bytes memory b,
            bytes memory e,
            bytes memory m
        ) internal view returns (bool success, bytes memory result) {
            if (_zeroBytes(m)) return (false, new bytes(0));
            uint256 mLen = m.length;
            // Encode call args in result and move the free memory pointer
            result = abi.encodePacked(b.length, e.length, mLen, b, e, m);
            assembly ("memory-safe") {
                let dataPtr := add(result, 0x20)
                // Write result on top of args to avoid allocating extra memory.
                success := staticcall(gas(), 0x05, dataPtr, mload(result), dataPtr, mLen)
                // Overwrite the length.
                // result.length > returndatasize() is guaranteed because returndatasize() == m.length
                mstore(result, mLen)
                // Set the memory pointer after the returned data.
                mstore(0x40, add(dataPtr, mLen))
            }
        }
        /**
         * @dev Returns whether the provided byte array is zero.
         */
        function _zeroBytes(bytes memory byteArray) private pure returns (bool) {
            for (uint256 i = 0; i < byteArray.length; ++i) {
                if (byteArray[i] != 0) {
                    return false;
                }
            }
            return true;
        }
        /**
         * @dev Returns the square root of a number. If the number is not a perfect square, the value is rounded
         * towards zero.
         *
         * This method is based on Newton's method for computing square roots; the algorithm is restricted to only
         * using integer operations.
         */
        function sqrt(uint256 a) internal pure returns (uint256) {
            unchecked {
                // Take care of easy edge cases when a == 0 or a == 1
                if (a <= 1) {
                    return a;
                }
                // In this function, we use Newton's method to get a root of `f(x) := x² - a`. It involves building a
                // sequence x_n that converges toward sqrt(a). For each iteration x_n, we also define the error between
                // the current value as `ε_n = | x_n - sqrt(a) |`.
                //
                // For our first estimation, we consider `e` the smallest power of 2 which is bigger than the square root
                // of the target. (i.e. `2**(e-1) ≤ sqrt(a) < 2**e`). We know that `e ≤ 128` because `(2¹²⁸)² = 2²⁵⁶` is
                // bigger than any uint256.
                //
                // By noticing that
                // `2**(e-1) ≤ sqrt(a) < 2**e → (2**(e-1))² ≤ a < (2**e)² → 2**(2*e-2) ≤ a < 2**(2*e)`
                // we can deduce that `e - 1` is `log2(a) / 2`. We can thus compute `x_n = 2**(e-1)` using a method similar
                // to the msb function.
                uint256 aa = a;
                uint256 xn = 1;
                if (aa >= (1 << 128)) {
                    aa >>= 128;
                    xn <<= 64;
                }
                if (aa >= (1 << 64)) {
                    aa >>= 64;
                    xn <<= 32;
                }
                if (aa >= (1 << 32)) {
                    aa >>= 32;
                    xn <<= 16;
                }
                if (aa >= (1 << 16)) {
                    aa >>= 16;
                    xn <<= 8;
                }
                if (aa >= (1 << 8)) {
                    aa >>= 8;
                    xn <<= 4;
                }
                if (aa >= (1 << 4)) {
                    aa >>= 4;
                    xn <<= 2;
                }
                if (aa >= (1 << 2)) {
                    xn <<= 1;
                }
                // We now have x_n such that `x_n = 2**(e-1) ≤ sqrt(a) < 2**e = 2 * x_n`. This implies ε_n ≤ 2**(e-1).
                //
                // We can refine our estimation by noticing that the middle of that interval minimizes the error.
                // If we move x_n to equal 2**(e-1) + 2**(e-2), then we reduce the error to ε_n ≤ 2**(e-2).
                // This is going to be our x_0 (and ε_0)
                xn = (3 * xn) >> 1; // ε_0 := | x_0 - sqrt(a) | ≤ 2**(e-2)
                // From here, Newton's method give us:
                // x_{n+1} = (x_n + a / x_n) / 2
                //
                // One should note that:
                // x_{n+1}² - a = ((x_n + a / x_n) / 2)² - a
                //              = ((x_n² + a) / (2 * x_n))² - a
                //              = (x_n⁴ + 2 * a * x_n² + a²) / (4 * x_n²) - a
                //              = (x_n⁴ + 2 * a * x_n² + a² - 4 * a * x_n²) / (4 * x_n²)
                //              = (x_n⁴ - 2 * a * x_n² + a²) / (4 * x_n²)
                //              = (x_n² - a)² / (2 * x_n)²
                //              = ((x_n² - a) / (2 * x_n))²
                //              ≥ 0
                // Which proves that for all n ≥ 1, sqrt(a) ≤ x_n
                //
                // This gives us the proof of quadratic convergence of the sequence:
                // ε_{n+1} = | x_{n+1} - sqrt(a) |
                //         = | (x_n + a / x_n) / 2 - sqrt(a) |
                //         = | (x_n² + a - 2*x_n*sqrt(a)) / (2 * x_n) |
                //         = | (x_n - sqrt(a))² / (2 * x_n) |
                //         = | ε_n² / (2 * x_n) |
                //         = ε_n² / | (2 * x_n) |
                //
                // For the first iteration, we have a special case where x_0 is known:
                // ε_1 = ε_0² / | (2 * x_0) |
                //     ≤ (2**(e-2))² / (2 * (2**(e-1) + 2**(e-2)))
                //     ≤ 2**(2*e-4) / (3 * 2**(e-1))
                //     ≤ 2**(e-3) / 3
                //     ≤ 2**(e-3-log2(3))
                //     ≤ 2**(e-4.5)
                //
                // For the following iterations, we use the fact that, 2**(e-1) ≤ sqrt(a) ≤ x_n:
                // ε_{n+1} = ε_n² / | (2 * x_n) |
                //         ≤ (2**(e-k))² / (2 * 2**(e-1))
                //         ≤ 2**(2*e-2*k) / 2**e
                //         ≤ 2**(e-2*k)
                xn = (xn + a / xn) >> 1; // ε_1 := | x_1 - sqrt(a) | ≤ 2**(e-4.5)  -- special case, see above
                xn = (xn + a / xn) >> 1; // ε_2 := | x_2 - sqrt(a) | ≤ 2**(e-9)    -- general case with k = 4.5
                xn = (xn + a / xn) >> 1; // ε_3 := | x_3 - sqrt(a) | ≤ 2**(e-18)   -- general case with k = 9
                xn = (xn + a / xn) >> 1; // ε_4 := | x_4 - sqrt(a) | ≤ 2**(e-36)   -- general case with k = 18
                xn = (xn + a / xn) >> 1; // ε_5 := | x_5 - sqrt(a) | ≤ 2**(e-72)   -- general case with k = 36
                xn = (xn + a / xn) >> 1; // ε_6 := | x_6 - sqrt(a) | ≤ 2**(e-144)  -- general case with k = 72
                // Because e ≤ 128 (as discussed during the first estimation phase), we know have reached a precision
                // ε_6 ≤ 2**(e-144) < 1. Given we're operating on integers, then we can ensure that xn is now either
                // sqrt(a) or sqrt(a) + 1.
                return xn - SafeCast.toUint(xn > a / xn);
            }
        }
        /**
         * @dev Calculates sqrt(a), following the selected rounding direction.
         */
        function sqrt(uint256 a, Rounding rounding) internal pure returns (uint256) {
            unchecked {
                uint256 result = sqrt(a);
                return result + SafeCast.toUint(unsignedRoundsUp(rounding) && result * result < a);
            }
        }
        /**
         * @dev Return the log in base 2 of a positive value rounded towards zero.
         * Returns 0 if given 0.
         */
        function log2(uint256 value) internal pure returns (uint256) {
            uint256 result = 0;
            uint256 exp;
            unchecked {
                exp = 128 * SafeCast.toUint(value > (1 << 128) - 1);
                value >>= exp;
                result += exp;
                exp = 64 * SafeCast.toUint(value > (1 << 64) - 1);
                value >>= exp;
                result += exp;
                exp = 32 * SafeCast.toUint(value > (1 << 32) - 1);
                value >>= exp;
                result += exp;
                exp = 16 * SafeCast.toUint(value > (1 << 16) - 1);
                value >>= exp;
                result += exp;
                exp = 8 * SafeCast.toUint(value > (1 << 8) - 1);
                value >>= exp;
                result += exp;
                exp = 4 * SafeCast.toUint(value > (1 << 4) - 1);
                value >>= exp;
                result += exp;
                exp = 2 * SafeCast.toUint(value > (1 << 2) - 1);
                value >>= exp;
                result += exp;
                result += SafeCast.toUint(value > 1);
            }
            return result;
        }
        /**
         * @dev Return the log in base 2, following the selected rounding direction, of a positive value.
         * Returns 0 if given 0.
         */
        function log2(uint256 value, Rounding rounding) internal pure returns (uint256) {
            unchecked {
                uint256 result = log2(value);
                return result + SafeCast.toUint(unsignedRoundsUp(rounding) && 1 << result < value);
            }
        }
        /**
         * @dev Return the log in base 10 of a positive value rounded towards zero.
         * Returns 0 if given 0.
         */
        function log10(uint256 value) internal pure returns (uint256) {
            uint256 result = 0;
            unchecked {
                if (value >= 10 ** 64) {
                    value /= 10 ** 64;
                    result += 64;
                }
                if (value >= 10 ** 32) {
                    value /= 10 ** 32;
                    result += 32;
                }
                if (value >= 10 ** 16) {
                    value /= 10 ** 16;
                    result += 16;
                }
                if (value >= 10 ** 8) {
                    value /= 10 ** 8;
                    result += 8;
                }
                if (value >= 10 ** 4) {
                    value /= 10 ** 4;
                    result += 4;
                }
                if (value >= 10 ** 2) {
                    value /= 10 ** 2;
                    result += 2;
                }
                if (value >= 10 ** 1) {
                    result += 1;
                }
            }
            return result;
        }
        /**
         * @dev Return the log in base 10, following the selected rounding direction, of a positive value.
         * Returns 0 if given 0.
         */
        function log10(uint256 value, Rounding rounding) internal pure returns (uint256) {
            unchecked {
                uint256 result = log10(value);
                return result + SafeCast.toUint(unsignedRoundsUp(rounding) && 10 ** result < value);
            }
        }
        /**
         * @dev Return the log in base 256 of a positive value rounded towards zero.
         * Returns 0 if given 0.
         *
         * Adding one to the result gives the number of pairs of hex symbols needed to represent `value` as a hex string.
         */
        function log256(uint256 value) internal pure returns (uint256) {
            uint256 result = 0;
            uint256 isGt;
            unchecked {
                isGt = SafeCast.toUint(value > (1 << 128) - 1);
                value >>= isGt * 128;
                result += isGt * 16;
                isGt = SafeCast.toUint(value > (1 << 64) - 1);
                value >>= isGt * 64;
                result += isGt * 8;
                isGt = SafeCast.toUint(value > (1 << 32) - 1);
                value >>= isGt * 32;
                result += isGt * 4;
                isGt = SafeCast.toUint(value > (1 << 16) - 1);
                value >>= isGt * 16;
                result += isGt * 2;
                result += SafeCast.toUint(value > (1 << 8) - 1);
            }
            return result;
        }
        /**
         * @dev Return the log in base 256, following the selected rounding direction, of a positive value.
         * Returns 0 if given 0.
         */
        function log256(uint256 value, Rounding rounding) internal pure returns (uint256) {
            unchecked {
                uint256 result = log256(value);
                return result + SafeCast.toUint(unsignedRoundsUp(rounding) && 1 << (result << 3) < value);
            }
        }
        /**
         * @dev Returns whether a provided rounding mode is considered rounding up for unsigned integers.
         */
        function unsignedRoundsUp(Rounding rounding) internal pure returns (bool) {
            return uint8(rounding) % 2 == 1;
        }
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.2.0) (utils/Strings.sol)
    pragma solidity ^0.8.20;
    import {Math} from "./math/Math.sol";
    import {SafeCast} from "./math/SafeCast.sol";
    import {SignedMath} from "./math/SignedMath.sol";
    /**
     * @dev String operations.
     */
    library Strings {
        using SafeCast for *;
        bytes16 private constant HEX_DIGITS = "0123456789abcdef";
        uint8 private constant ADDRESS_LENGTH = 20;
        /**
         * @dev The `value` string doesn't fit in the specified `length`.
         */
        error StringsInsufficientHexLength(uint256 value, uint256 length);
        /**
         * @dev The string being parsed contains characters that are not in scope of the given base.
         */
        error StringsInvalidChar();
        /**
         * @dev The string being parsed is not a properly formatted address.
         */
        error StringsInvalidAddressFormat();
        /**
         * @dev Converts a `uint256` to its ASCII `string` decimal representation.
         */
        function toString(uint256 value) internal pure returns (string memory) {
            unchecked {
                uint256 length = Math.log10(value) + 1;
                string memory buffer = new string(length);
                uint256 ptr;
                assembly ("memory-safe") {
                    ptr := add(buffer, add(32, length))
                }
                while (true) {
                    ptr--;
                    assembly ("memory-safe") {
                        mstore8(ptr, byte(mod(value, 10), HEX_DIGITS))
                    }
                    value /= 10;
                    if (value == 0) break;
                }
                return buffer;
            }
        }
        /**
         * @dev Converts a `int256` to its ASCII `string` decimal representation.
         */
        function toStringSigned(int256 value) internal pure returns (string memory) {
            return string.concat(value < 0 ? "-" : "", toString(SignedMath.abs(value)));
        }
        /**
         * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation.
         */
        function toHexString(uint256 value) internal pure returns (string memory) {
            unchecked {
                return toHexString(value, Math.log256(value) + 1);
            }
        }
        /**
         * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation with fixed length.
         */
        function toHexString(uint256 value, uint256 length) internal pure returns (string memory) {
            uint256 localValue = value;
            bytes memory buffer = new bytes(2 * length + 2);
            buffer[0] = "0";
            buffer[1] = "x";
            for (uint256 i = 2 * length + 1; i > 1; --i) {
                buffer[i] = HEX_DIGITS[localValue & 0xf];
                localValue >>= 4;
            }
            if (localValue != 0) {
                revert StringsInsufficientHexLength(value, length);
            }
            return string(buffer);
        }
        /**
         * @dev Converts an `address` with fixed length of 20 bytes to its not checksummed ASCII `string` hexadecimal
         * representation.
         */
        function toHexString(address addr) internal pure returns (string memory) {
            return toHexString(uint256(uint160(addr)), ADDRESS_LENGTH);
        }
        /**
         * @dev Converts an `address` with fixed length of 20 bytes to its checksummed ASCII `string` hexadecimal
         * representation, according to EIP-55.
         */
        function toChecksumHexString(address addr) internal pure returns (string memory) {
            bytes memory buffer = bytes(toHexString(addr));
            // hash the hex part of buffer (skip length + 2 bytes, length 40)
            uint256 hashValue;
            assembly ("memory-safe") {
                hashValue := shr(96, keccak256(add(buffer, 0x22), 40))
            }
            for (uint256 i = 41; i > 1; --i) {
                // possible values for buffer[i] are 48 (0) to 57 (9) and 97 (a) to 102 (f)
                if (hashValue & 0xf > 7 && uint8(buffer[i]) > 96) {
                    // case shift by xoring with 0x20
                    buffer[i] ^= 0x20;
                }
                hashValue >>= 4;
            }
            return string(buffer);
        }
        /**
         * @dev Returns true if the two strings are equal.
         */
        function equal(string memory a, string memory b) internal pure returns (bool) {
            return bytes(a).length == bytes(b).length && keccak256(bytes(a)) == keccak256(bytes(b));
        }
        /**
         * @dev Parse a decimal string and returns the value as a `uint256`.
         *
         * Requirements:
         * - The string must be formatted as `[0-9]*`
         * - The result must fit into an `uint256` type
         */
        function parseUint(string memory input) internal pure returns (uint256) {
            return parseUint(input, 0, bytes(input).length);
        }
        /**
         * @dev Variant of {parseUint} that parses a substring of `input` located between position `begin` (included) and
         * `end` (excluded).
         *
         * Requirements:
         * - The substring must be formatted as `[0-9]*`
         * - The result must fit into an `uint256` type
         */
        function parseUint(string memory input, uint256 begin, uint256 end) internal pure returns (uint256) {
            (bool success, uint256 value) = tryParseUint(input, begin, end);
            if (!success) revert StringsInvalidChar();
            return value;
        }
        /**
         * @dev Variant of {parseUint-string} that returns false if the parsing fails because of an invalid character.
         *
         * NOTE: This function will revert if the result does not fit in a `uint256`.
         */
        function tryParseUint(string memory input) internal pure returns (bool success, uint256 value) {
            return _tryParseUintUncheckedBounds(input, 0, bytes(input).length);
        }
        /**
         * @dev Variant of {parseUint-string-uint256-uint256} that returns false if the parsing fails because of an invalid
         * character.
         *
         * NOTE: This function will revert if the result does not fit in a `uint256`.
         */
        function tryParseUint(
            string memory input,
            uint256 begin,
            uint256 end
        ) internal pure returns (bool success, uint256 value) {
            if (end > bytes(input).length || begin > end) return (false, 0);
            return _tryParseUintUncheckedBounds(input, begin, end);
        }
        /**
         * @dev Implementation of {tryParseUint} that does not check bounds. Caller should make sure that
         * `begin <= end <= input.length`. Other inputs would result in undefined behavior.
         */
        function _tryParseUintUncheckedBounds(
            string memory input,
            uint256 begin,
            uint256 end
        ) private pure returns (bool success, uint256 value) {
            bytes memory buffer = bytes(input);
            uint256 result = 0;
            for (uint256 i = begin; i < end; ++i) {
                uint8 chr = _tryParseChr(bytes1(_unsafeReadBytesOffset(buffer, i)));
                if (chr > 9) return (false, 0);
                result *= 10;
                result += chr;
            }
            return (true, result);
        }
        /**
         * @dev Parse a decimal string and returns the value as a `int256`.
         *
         * Requirements:
         * - The string must be formatted as `[-+]?[0-9]*`
         * - The result must fit in an `int256` type.
         */
        function parseInt(string memory input) internal pure returns (int256) {
            return parseInt(input, 0, bytes(input).length);
        }
        /**
         * @dev Variant of {parseInt-string} that parses a substring of `input` located between position `begin` (included) and
         * `end` (excluded).
         *
         * Requirements:
         * - The substring must be formatted as `[-+]?[0-9]*`
         * - The result must fit in an `int256` type.
         */
        function parseInt(string memory input, uint256 begin, uint256 end) internal pure returns (int256) {
            (bool success, int256 value) = tryParseInt(input, begin, end);
            if (!success) revert StringsInvalidChar();
            return value;
        }
        /**
         * @dev Variant of {parseInt-string} that returns false if the parsing fails because of an invalid character or if
         * the result does not fit in a `int256`.
         *
         * NOTE: This function will revert if the absolute value of the result does not fit in a `uint256`.
         */
        function tryParseInt(string memory input) internal pure returns (bool success, int256 value) {
            return _tryParseIntUncheckedBounds(input, 0, bytes(input).length);
        }
        uint256 private constant ABS_MIN_INT256 = 2 ** 255;
        /**
         * @dev Variant of {parseInt-string-uint256-uint256} that returns false if the parsing fails because of an invalid
         * character or if the result does not fit in a `int256`.
         *
         * NOTE: This function will revert if the absolute value of the result does not fit in a `uint256`.
         */
        function tryParseInt(
            string memory input,
            uint256 begin,
            uint256 end
        ) internal pure returns (bool success, int256 value) {
            if (end > bytes(input).length || begin > end) return (false, 0);
            return _tryParseIntUncheckedBounds(input, begin, end);
        }
        /**
         * @dev Implementation of {tryParseInt} that does not check bounds. Caller should make sure that
         * `begin <= end <= input.length`. Other inputs would result in undefined behavior.
         */
        function _tryParseIntUncheckedBounds(
            string memory input,
            uint256 begin,
            uint256 end
        ) private pure returns (bool success, int256 value) {
            bytes memory buffer = bytes(input);
            // Check presence of a negative sign.
            bytes1 sign = begin == end ? bytes1(0) : bytes1(_unsafeReadBytesOffset(buffer, begin)); // don't do out-of-bound (possibly unsafe) read if sub-string is empty
            bool positiveSign = sign == bytes1("+");
            bool negativeSign = sign == bytes1("-");
            uint256 offset = (positiveSign || negativeSign).toUint();
            (bool absSuccess, uint256 absValue) = tryParseUint(input, begin + offset, end);
            if (absSuccess && absValue < ABS_MIN_INT256) {
                return (true, negativeSign ? -int256(absValue) : int256(absValue));
            } else if (absSuccess && negativeSign && absValue == ABS_MIN_INT256) {
                return (true, type(int256).min);
            } else return (false, 0);
        }
        /**
         * @dev Parse a hexadecimal string (with or without "0x" prefix), and returns the value as a `uint256`.
         *
         * Requirements:
         * - The string must be formatted as `(0x)?[0-9a-fA-F]*`
         * - The result must fit in an `uint256` type.
         */
        function parseHexUint(string memory input) internal pure returns (uint256) {
            return parseHexUint(input, 0, bytes(input).length);
        }
        /**
         * @dev Variant of {parseHexUint} that parses a substring of `input` located between position `begin` (included) and
         * `end` (excluded).
         *
         * Requirements:
         * - The substring must be formatted as `(0x)?[0-9a-fA-F]*`
         * - The result must fit in an `uint256` type.
         */
        function parseHexUint(string memory input, uint256 begin, uint256 end) internal pure returns (uint256) {
            (bool success, uint256 value) = tryParseHexUint(input, begin, end);
            if (!success) revert StringsInvalidChar();
            return value;
        }
        /**
         * @dev Variant of {parseHexUint-string} that returns false if the parsing fails because of an invalid character.
         *
         * NOTE: This function will revert if the result does not fit in a `uint256`.
         */
        function tryParseHexUint(string memory input) internal pure returns (bool success, uint256 value) {
            return _tryParseHexUintUncheckedBounds(input, 0, bytes(input).length);
        }
        /**
         * @dev Variant of {parseHexUint-string-uint256-uint256} that returns false if the parsing fails because of an
         * invalid character.
         *
         * NOTE: This function will revert if the result does not fit in a `uint256`.
         */
        function tryParseHexUint(
            string memory input,
            uint256 begin,
            uint256 end
        ) internal pure returns (bool success, uint256 value) {
            if (end > bytes(input).length || begin > end) return (false, 0);
            return _tryParseHexUintUncheckedBounds(input, begin, end);
        }
        /**
         * @dev Implementation of {tryParseHexUint} that does not check bounds. Caller should make sure that
         * `begin <= end <= input.length`. Other inputs would result in undefined behavior.
         */
        function _tryParseHexUintUncheckedBounds(
            string memory input,
            uint256 begin,
            uint256 end
        ) private pure returns (bool success, uint256 value) {
            bytes memory buffer = bytes(input);
            // skip 0x prefix if present
            bool hasPrefix = (end > begin + 1) && bytes2(_unsafeReadBytesOffset(buffer, begin)) == bytes2("0x"); // don't do out-of-bound (possibly unsafe) read if sub-string is empty
            uint256 offset = hasPrefix.toUint() * 2;
            uint256 result = 0;
            for (uint256 i = begin + offset; i < end; ++i) {
                uint8 chr = _tryParseChr(bytes1(_unsafeReadBytesOffset(buffer, i)));
                if (chr > 15) return (false, 0);
                result *= 16;
                unchecked {
                    // Multiplying by 16 is equivalent to a shift of 4 bits (with additional overflow check).
                    // This guaratees that adding a value < 16 will not cause an overflow, hence the unchecked.
                    result += chr;
                }
            }
            return (true, result);
        }
        /**
         * @dev Parse a hexadecimal string (with or without "0x" prefix), and returns the value as an `address`.
         *
         * Requirements:
         * - The string must be formatted as `(0x)?[0-9a-fA-F]{40}`
         */
        function parseAddress(string memory input) internal pure returns (address) {
            return parseAddress(input, 0, bytes(input).length);
        }
        /**
         * @dev Variant of {parseAddress} that parses a substring of `input` located between position `begin` (included) and
         * `end` (excluded).
         *
         * Requirements:
         * - The substring must be formatted as `(0x)?[0-9a-fA-F]{40}`
         */
        function parseAddress(string memory input, uint256 begin, uint256 end) internal pure returns (address) {
            (bool success, address value) = tryParseAddress(input, begin, end);
            if (!success) revert StringsInvalidAddressFormat();
            return value;
        }
        /**
         * @dev Variant of {parseAddress-string} that returns false if the parsing fails because the input is not a properly
         * formatted address. See {parseAddress} requirements.
         */
        function tryParseAddress(string memory input) internal pure returns (bool success, address value) {
            return tryParseAddress(input, 0, bytes(input).length);
        }
        /**
         * @dev Variant of {parseAddress-string-uint256-uint256} that returns false if the parsing fails because input is not a properly
         * formatted address. See {parseAddress} requirements.
         */
        function tryParseAddress(
            string memory input,
            uint256 begin,
            uint256 end
        ) internal pure returns (bool success, address value) {
            if (end > bytes(input).length || begin > end) return (false, address(0));
            bool hasPrefix = (end > begin + 1) && bytes2(_unsafeReadBytesOffset(bytes(input), begin)) == bytes2("0x"); // don't do out-of-bound (possibly unsafe) read if sub-string is empty
            uint256 expectedLength = 40 + hasPrefix.toUint() * 2;
            // check that input is the correct length
            if (end - begin == expectedLength) {
                // length guarantees that this does not overflow, and value is at most type(uint160).max
                (bool s, uint256 v) = _tryParseHexUintUncheckedBounds(input, begin, end);
                return (s, address(uint160(v)));
            } else {
                return (false, address(0));
            }
        }
        function _tryParseChr(bytes1 chr) private pure returns (uint8) {
            uint8 value = uint8(chr);
            // Try to parse `chr`:
            // - Case 1: [0-9]
            // - Case 2: [a-f]
            // - Case 3: [A-F]
            // - otherwise not supported
            unchecked {
                if (value > 47 && value < 58) value -= 48;
                else if (value > 96 && value < 103) value -= 87;
                else if (value > 64 && value < 71) value -= 55;
                else return type(uint8).max;
            }
            return value;
        }
        /**
         * @dev Reads a bytes32 from a bytes array without bounds checking.
         *
         * NOTE: making this function internal would mean it could be used with memory unsafe offset, and marking the
         * assembly block as such would prevent some optimizations.
         */
        function _unsafeReadBytesOffset(bytes memory buffer, uint256 offset) private pure returns (bytes32 value) {
            // This is not memory safe in the general case, but all calls to this private function are within bounds.
            assembly ("memory-safe") {
                value := mload(add(buffer, add(0x20, offset)))
            }
        }
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.1.0) (utils/StorageSlot.sol)
    // This file was procedurally generated from scripts/generate/templates/StorageSlot.js.
    pragma solidity ^0.8.20;
    /**
     * @dev Library for reading and writing primitive types to specific storage slots.
     *
     * Storage slots are often used to avoid storage conflict when dealing with upgradeable contracts.
     * This library helps with reading and writing to such slots without the need for inline assembly.
     *
     * The functions in this library return Slot structs that contain a `value` member that can be used to read or write.
     *
     * Example usage to set ERC-1967 implementation slot:
     * ```solidity
     * contract ERC1967 {
     *     // Define the slot. Alternatively, use the SlotDerivation library to derive the slot.
     *     bytes32 internal constant _IMPLEMENTATION_SLOT = 0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc;
     *
     *     function _getImplementation() internal view returns (address) {
     *         return StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value;
     *     }
     *
     *     function _setImplementation(address newImplementation) internal {
     *         require(newImplementation.code.length > 0);
     *         StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value = newImplementation;
     *     }
     * }
     * ```
     *
     * TIP: Consider using this library along with {SlotDerivation}.
     */
    library StorageSlot {
        struct AddressSlot {
            address value;
        }
        struct BooleanSlot {
            bool value;
        }
        struct Bytes32Slot {
            bytes32 value;
        }
        struct Uint256Slot {
            uint256 value;
        }
        struct Int256Slot {
            int256 value;
        }
        struct StringSlot {
            string value;
        }
        struct BytesSlot {
            bytes value;
        }
        /**
         * @dev Returns an `AddressSlot` with member `value` located at `slot`.
         */
        function getAddressSlot(bytes32 slot) internal pure returns (AddressSlot storage r) {
            assembly ("memory-safe") {
                r.slot := slot
            }
        }
        /**
         * @dev Returns a `BooleanSlot` with member `value` located at `slot`.
         */
        function getBooleanSlot(bytes32 slot) internal pure returns (BooleanSlot storage r) {
            assembly ("memory-safe") {
                r.slot := slot
            }
        }
        /**
         * @dev Returns a `Bytes32Slot` with member `value` located at `slot`.
         */
        function getBytes32Slot(bytes32 slot) internal pure returns (Bytes32Slot storage r) {
            assembly ("memory-safe") {
                r.slot := slot
            }
        }
        /**
         * @dev Returns a `Uint256Slot` with member `value` located at `slot`.
         */
        function getUint256Slot(bytes32 slot) internal pure returns (Uint256Slot storage r) {
            assembly ("memory-safe") {
                r.slot := slot
            }
        }
        /**
         * @dev Returns a `Int256Slot` with member `value` located at `slot`.
         */
        function getInt256Slot(bytes32 slot) internal pure returns (Int256Slot storage r) {
            assembly ("memory-safe") {
                r.slot := slot
            }
        }
        /**
         * @dev Returns a `StringSlot` with member `value` located at `slot`.
         */
        function getStringSlot(bytes32 slot) internal pure returns (StringSlot storage r) {
            assembly ("memory-safe") {
                r.slot := slot
            }
        }
        /**
         * @dev Returns an `StringSlot` representation of the string storage pointer `store`.
         */
        function getStringSlot(string storage store) internal pure returns (StringSlot storage r) {
            assembly ("memory-safe") {
                r.slot := store.slot
            }
        }
        /**
         * @dev Returns a `BytesSlot` with member `value` located at `slot`.
         */
        function getBytesSlot(bytes32 slot) internal pure returns (BytesSlot storage r) {
            assembly ("memory-safe") {
                r.slot := slot
            }
        }
        /**
         * @dev Returns an `BytesSlot` representation of the bytes storage pointer `store`.
         */
        function getBytesSlot(bytes storage store) internal pure returns (BytesSlot storage r) {
            assembly ("memory-safe") {
                r.slot := store.slot
            }
        }
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.0.0) (governance/utils/IVotes.sol)
    pragma solidity ^0.8.20;
    /**
     * @dev Common interface for {ERC20Votes}, {ERC721Votes}, and other {Votes}-enabled contracts.
     */
    interface IVotes {
        /**
         * @dev The signature used has expired.
         */
        error VotesExpiredSignature(uint256 expiry);
        /**
         * @dev Emitted when an account changes their delegate.
         */
        event DelegateChanged(address indexed delegator, address indexed fromDelegate, address indexed toDelegate);
        /**
         * @dev Emitted when a token transfer or delegate change results in changes to a delegate's number of voting units.
         */
        event DelegateVotesChanged(address indexed delegate, uint256 previousVotes, uint256 newVotes);
        /**
         * @dev Returns the current amount of votes that `account` has.
         */
        function getVotes(address account) external view returns (uint256);
        /**
         * @dev Returns the amount of votes that `account` had at a specific moment in the past. If the `clock()` is
         * configured to use block numbers, this will return the value at the end of the corresponding block.
         */
        function getPastVotes(address account, uint256 timepoint) external view returns (uint256);
        /**
         * @dev Returns the total supply of votes available at a specific moment in the past. If the `clock()` is
         * configured to use block numbers, this will return the value at the end of the corresponding block.
         *
         * NOTE: This value is the sum of all available votes, which is not necessarily the sum of all delegated votes.
         * Votes that have not been delegated are still part of total supply, even though they would not participate in a
         * vote.
         */
        function getPastTotalSupply(uint256 timepoint) external view returns (uint256);
        /**
         * @dev Returns the delegate that `account` has chosen.
         */
        function delegates(address account) external view returns (address);
        /**
         * @dev Delegates votes from the sender to `delegatee`.
         */
        function delegate(address delegatee) external;
        /**
         * @dev Delegates votes from signer to `delegatee`.
         */
        function delegateBySig(address delegatee, uint256 nonce, uint256 expiry, uint8 v, bytes32 r, bytes32 s) external;
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.0.0) (interfaces/IERC6372.sol)
    pragma solidity ^0.8.20;
    interface IERC6372 {
        /**
         * @dev Clock used for flagging checkpoints. Can be overridden to implement timestamp based checkpoints (and voting).
         */
        function clock() external view returns (uint48);
        /**
         * @dev Description of the clock
         */
        // solhint-disable-next-line func-name-mixedcase
        function CLOCK_MODE() external view returns (string memory);
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.1.0) (utils/Panic.sol)
    pragma solidity ^0.8.20;
    /**
     * @dev Helper library for emitting standardized panic codes.
     *
     * ```solidity
     * contract Example {
     *      using Panic for uint256;
     *
     *      // Use any of the declared internal constants
     *      function foo() { Panic.GENERIC.panic(); }
     *
     *      // Alternatively
     *      function foo() { Panic.panic(Panic.GENERIC); }
     * }
     * ```
     *
     * Follows the list from https://github.com/ethereum/solidity/blob/v0.8.24/libsolutil/ErrorCodes.h[libsolutil].
     *
     * _Available since v5.1._
     */
    // slither-disable-next-line unused-state
    library Panic {
        /// @dev generic / unspecified error
        uint256 internal constant GENERIC = 0x00;
        /// @dev used by the assert() builtin
        uint256 internal constant ASSERT = 0x01;
        /// @dev arithmetic underflow or overflow
        uint256 internal constant UNDER_OVERFLOW = 0x11;
        /// @dev division or modulo by zero
        uint256 internal constant DIVISION_BY_ZERO = 0x12;
        /// @dev enum conversion error
        uint256 internal constant ENUM_CONVERSION_ERROR = 0x21;
        /// @dev invalid encoding in storage
        uint256 internal constant STORAGE_ENCODING_ERROR = 0x22;
        /// @dev empty array pop
        uint256 internal constant EMPTY_ARRAY_POP = 0x31;
        /// @dev array out of bounds access
        uint256 internal constant ARRAY_OUT_OF_BOUNDS = 0x32;
        /// @dev resource error (too large allocation or too large array)
        uint256 internal constant RESOURCE_ERROR = 0x41;
        /// @dev calling invalid internal function
        uint256 internal constant INVALID_INTERNAL_FUNCTION = 0x51;
        /// @dev Reverts with a panic code. Recommended to use with
        /// the internal constants with predefined codes.
        function panic(uint256 code) internal pure {
            assembly ("memory-safe") {
                mstore(0x00, 0x4e487b71)
                mstore(0x20, code)
                revert(0x1c, 0x24)
            }
        }
    }
    // SPDX-License-Identifier: MIT
    // OpenZeppelin Contracts (last updated v5.1.0) (utils/math/SignedMath.sol)
    pragma solidity ^0.8.20;
    import {SafeCast} from "./SafeCast.sol";
    /**
     * @dev Standard signed math utilities missing in the Solidity language.
     */
    library SignedMath {
        /**
         * @dev Branchless ternary evaluation for `a ? b : c`. Gas costs are constant.
         *
         * IMPORTANT: This function may reduce bytecode size and consume less gas when used standalone.
         * However, the compiler may optimize Solidity ternary operations (i.e. `a ? b : c`) to only compute
         * one branch when needed, making this function more expensive.
         */
        function ternary(bool condition, int256 a, int256 b) internal pure returns (int256) {
            unchecked {
                // branchless ternary works because:
                // b ^ (a ^ b) == a
                // b ^ 0 == b
                return b ^ ((a ^ b) * int256(SafeCast.toUint(condition)));
            }
        }
        /**
         * @dev Returns the largest of two signed numbers.
         */
        function max(int256 a, int256 b) internal pure returns (int256) {
            return ternary(a > b, a, b);
        }
        /**
         * @dev Returns the smallest of two signed numbers.
         */
        function min(int256 a, int256 b) internal pure returns (int256) {
            return ternary(a < b, a, b);
        }
        /**
         * @dev Returns the average of two signed numbers without overflow.
         * The result is rounded towards zero.
         */
        function average(int256 a, int256 b) internal pure returns (int256) {
            // Formula from the book "Hacker's Delight"
            int256 x = (a & b) + ((a ^ b) >> 1);
            return x + (int256(uint256(x) >> 255) & (a ^ b));
        }
        /**
         * @dev Returns the absolute unsigned value of a signed value.
         */
        function abs(int256 n) internal pure returns (uint256) {
            unchecked {
                // Formula from the "Bit Twiddling Hacks" by Sean Eron Anderson.
                // Since `n` is a signed integer, the generated bytecode will use the SAR opcode to perform the right shift,
                // taking advantage of the most significant (or "sign" bit) in two's complement representation.
                // This opcode adds new most significant bits set to the value of the previous most significant bit. As a result,
                // the mask will either be `bytes32(0)` (if n is positive) or `~bytes32(0)` (if n is negative).
                int256 mask = n >> 255;
                // A `bytes32(0)` mask leaves the input unchanged, while a `~bytes32(0)` mask complements it.
                return uint256((n + mask) ^ mask);
            }
        }
    }