{"file_path":"src/Token.sol","creation_status":"success","source_code":"// SPDX-License-Identifier: MIT\npragma solidity ^0.8.20;\n\nimport \"@openzeppelin/contracts/token/ERC20/ERC20.sol\";\nimport \"@openzeppelin/contracts/access/Ownable.sol\";\nimport \"@openzeppelin/contracts/token/ERC20/extensions/ERC20Permit.sol\";\n\n/**\n * @dev Implements an ERC20 token that wraps an ICP token using the\n * lock-mint/burn-unlock approach.\n */\ncontract Token is ERC20, Ownable, ERC20Permit {\n    event Burn1(address from, uint256 amount, bytes32 data1);\n    event Burn2(address from, uint256 amount, bytes32 data1, bytes32 data2);\n    event Burn3(address from, uint256 amount, bytes32 data1, bytes32 data2, bytes32 data3);\n    event Burn4(address from, uint256 amount, bytes32 data1, bytes32 data2, bytes32 data3, bytes32 data4);\n\n    uint8 _decimals;\n    uint256 public minAmount;\n\n    /**\n     * @dev Initializes the ERC20 token.\n     *\n     * @param tokenName The name the token.\n     * @param decimals_ The decimals of the token.\n     * @param minAmount_ The minimum withdraw amount.\n     */\n    constructor(string memory tokenName, uint8 decimals_, uint256 minAmount_)\n        ERC20(tokenName, tokenName)\n        Ownable(msg.sender)\n        ERC20Permit(tokenName)\n    {\n        _decimals = decimals_;\n        minAmount = minAmount_;\n    }\n\n    /**\n     * @dev Burns the given amount of tokens and emits a `Burn1` event in\n     * order to notify the ICP contract to unlock the corresponding amount of\n     * tokens to the given recipient.\n     *\n     * @param amount The amount to burn.\n     * @param data1 The encoded ICP recipient.\n     */\n    function burn1(uint256 amount, bytes32 data1) public {\n        require(amount >= minAmount, \"Amount is too low\");\n        _burn(msg.sender, amount);\n        emit Burn1(msg.sender, amount, data1);\n    }\n\n    /**\n     * @dev Burns the given amount of tokens and emits a `Burn2` event in\n     * order to notify the ICP contract to unlock the corresponding amount of\n     * tokens to the given recipient.\n     *\n     * @param amount The amount to burn.\n     * @param data1 A part of the encoded ICP recipient.\n     * @param data2 A part of the encoded ICP recipient.\n     */\n    function burn2(uint256 amount, bytes32 data1, bytes32 data2) public {\n        require(amount >= minAmount, \"Amount is too low\");\n        _burn(msg.sender, amount);\n        emit Burn2(msg.sender, amount, data1, data2);\n    }\n\n    /**\n     * @dev Burns the given amount of tokens and emits a `Burn3` event in\n     * order to notify the ICP contract to unlock the corresponding amount of\n     * tokens to the given recipient.\n     *\n     * @param amount The amount to burn.\n     * @param data1 A part of the encoded ICP recipient.\n     * @param data2 A part of the encoded ICP recipient.\n     * @param data3 A part of the encoded ICP recipient.\n     */\n    function burn3(uint256 amount, bytes32 data1, bytes32 data2, bytes32 data3) public {\n        require(amount >= minAmount, \"Amount is too low\");\n        _burn(msg.sender, amount);\n        emit Burn3(msg.sender, amount, data1, data2, data3);\n    }\n\n    /**\n     * @dev Burns the given amount of tokens and emits a `Burn4` event in\n     * order to notify the ICP contract to unlock the corresponding amount of\n     * tokens to the given recipient.\n     *\n     * @param amount The amount to burn.\n     * @param data1 A part of the encoded ICP recipient.\n     * @param data2 A part of the encoded ICP recipient.\n     * @param data3 A part of the encoded ICP recipient.\n     * @param data4 A part of the encoded ICP recipient.\n     */\n    function burn4(uint256 amount, bytes32 data1, bytes32 data2, bytes32 data3, bytes32 data4) public {\n        require(amount >= minAmount, \"Amount is too low\");\n        _burn(msg.sender, amount);\n        emit Burn4(msg.sender, amount, data1, data2, data3, data4);\n    }\n\n    /**\n     * @dev Mint tokens to the given address and forwards any eth attached.\n     */\n    function mint(address payable to, uint256 amount) public payable onlyOwner {\n        // No need to enforce the minimum amount because this function can be\n        // called only by the owner.\n        _mint(to, amount);\n        if (msg.value > 0) {\n            // We want to continue progress if to is not an EOA.\n            // Safe to ignore success as ETH amounts are minimal and this is a convenience feature.\n            (bool success,) = to.call{value: msg.value, gas: 2300}(\"\");\n            success;\n        }\n    }\n\n    /**\n     * @dev Mints tokens in batch from the owner's address to multiple recipients.\n     *      Only the contract owner can call this function.\n     *      If ETH is attached, msg.value will be dispatched following ethAmounts array.\n     * @param recipients Array of addresses to receive the tokens.\n     * @param amounts Array of token amounts to send to each recipient.\n     *        The order of recipients and amounts must match (i.e., recipients[i] gets amounts[i]).\n     * @param ethAmounts Array of eth amounts to send to each recipient.\n     *        The order of recipients and ethAmounts must match (i.e., recipients[i] gets ethAmounts[i]).\n     *        Condition: msg.value MUST be greater than or equal to the total of ethAmounts.\n     */\n    function batchMint(address payable[] calldata recipients, uint256[] calldata amounts, uint256[] calldata ethAmounts)\n        public\n        payable\n        onlyOwner\n    {\n        require(recipients.length == amounts.length, \"Mismatched array lengths\");\n        if (msg.value == 0) {\n            for (uint256 i = 0; i < recipients.length; i++) {\n                _mint(recipients[i], amounts[i]);\n            }\n        } else {\n            require(recipients.length == ethAmounts.length, \"Mismatched array lengths\");\n\n            for (uint256 i = 0; i < recipients.length; i++) {\n                _mint(recipients[i], amounts[i]);\n                if (ethAmounts[i] > 0) {\n                    // We want to continue progress if recipients[i] is not an EOA.\n                    // Safe to ignore success as ETH amounts are minimal and this is a convenience feature.\n                    (bool success,) = recipients[i].call{value: ethAmounts[i], gas: 2300}(\"\");\n                    success;\n                }\n            }\n        }\n    }\n\n    /**\n     * @dev Withdraw eth from the contract.\n     */\n    function withdrawEth(uint256 amount, address payable to) public onlyOwner {\n        require(amount >= address(this).balance, \"Balance too low\");\n        to.transfer(amount);\n    }\n\n    /**\n     * @dev Updates the owner of the erc20 contract.\n     */\n    function updateOwner(address _owner) public onlyOwner {\n        _transferOwnership(_owner);\n    }\n\n    /**\n     * @dev Updates the minimum withdraw amount.\n     */\n    function updateMinAmount(uint256 _minAmount) public onlyOwner {\n        minAmount = _minAmount;\n    }\n\n    /**\n     * @dev Returns the number of decimals used for token representation.\n     */\n    function decimals() public view virtual override returns (uint8) {\n        return _decimals;\n    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SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.1.0) (token/ERC20/extensions/IERC20Permit.sol)\n\npragma solidity ^0.8.20;\n\n/**\n * @dev Interface of the ERC-20 Permit extension allowing approvals to be made via signatures, as defined in\n * https://eips.ethereum.org/EIPS/eip-2612[ERC-2612].\n *\n * Adds the {permit} method, which can be used to change an account's ERC-20 allowance (see {IERC20-allowance}) by\n * presenting a message signed by the account. By not relying on {IERC20-approve}, the token holder account doesn't\n * need to send a transaction, and thus is not required to hold Ether at all.\n *\n * ==== Security Considerations\n *\n * There are two important considerations concerning the use of `permit`. The first is that a valid permit signature\n * expresses an allowance, and it should not be assumed to convey additional meaning. In particular, it should not be\n * considered as an intention to spend the allowance in any specific way. The second is that because permits have\n * built-in replay protection and can be submitted by anyone, they can be frontrun. A protocol that uses permits should\n * take this into consideration and allow a `permit` call to fail. Combining these two aspects, a pattern that may be\n * generally recommended is:\n *\n * ```solidity\n * function doThingWithPermit(..., uint256 value, uint256 deadline, uint8 v, bytes32 r, bytes32 s) public {\n *     try token.permit(msg.sender, address(this), value, deadline, v, r, s) {} catch {}\n *     doThing(..., value);\n * }\n *\n * function doThing(..., uint256 value) public {\n *     token.safeTransferFrom(msg.sender, address(this), value);\n *     ...\n * }\n * ```\n *\n * Observe that: 1) `msg.sender` is used as the owner, leaving no ambiguity as to the signer intent, and 2) the use of\n * `try/catch` allows the permit to fail and makes the code tolerant to frontrunning. (See also\n * {SafeERC20-safeTransferFrom}).\n *\n * Additionally, note that smart contract wallets (such as Argent or Safe) are not able to produce permit signatures, so\n * contracts should have entry points that don't rely on permit.\n */\ninterface IERC20Permit {\n    /**\n     * @dev Sets `value` as the allowance of `spender` over ``owner``'s tokens,\n     * given ``owner``'s signed approval.\n     *\n     * IMPORTANT: The same issues {IERC20-approve} has related to transaction\n     * ordering also apply here.\n     *\n     * Emits an {Approval} event.\n     *\n     * Requirements:\n     *\n     * - `spender` cannot be the zero address.\n     * - `deadline` must be a timestamp in the future.\n     * - `v`, `r` and `s` must be a valid `secp256k1` signature from `owner`\n     * over the EIP712-formatted function arguments.\n     * - the signature must use ``owner``'s current nonce (see {nonces}).\n     *\n     * For more information on the signature format, see the\n     * https://eips.ethereum.org/EIPS/eip-2612#specification[relevant EIP\n     * section].\n     *\n     * CAUTION: See Security Considerations above.\n     */\n    function permit(\n        address owner,\n        address spender,\n        uint256 value,\n        uint256 deadline,\n        uint8 v,\n        bytes32 r,\n        bytes32 s\n    ) external;\n\n    /**\n     * @dev Returns the current nonce for `owner`. This value must be\n     * included whenever a signature is generated for {permit}.\n     *\n     * Every successful call to {permit} increases ``owner``'s nonce by one. This\n     * prevents a signature from being used multiple times.\n     */\n    function nonces(address owner) external view returns (uint256);\n\n    /**\n     * @dev Returns the domain separator used in the encoding of the signature for {permit}, as defined by {EIP712}.\n     */\n    // solhint-disable-next-line func-name-mixedcase\n    function DOMAIN_SEPARATOR() external view returns (bytes32);\n}\n"},{"file_path":"lib/openzeppelin-contracts/contracts/utils/Context.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.0.1) (utils/Context.sol)\n\npragma solidity ^0.8.20;\n\n/**\n * @dev Provides information about the current execution context, including the\n * sender of the transaction and its data. While these are generally available\n * via msg.sender and msg.data, they should not be accessed in such a direct\n * manner, since when dealing with meta-transactions the account sending and\n * paying for execution may not be the actual sender (as far as an application\n * is concerned).\n *\n * This contract is only required for intermediate, library-like contracts.\n */\nabstract contract Context {\n    function _msgSender() internal view virtual returns (address) {\n        return msg.sender;\n    }\n\n    function _msgData() internal view virtual returns (bytes calldata) {\n        return msg.data;\n    }\n\n    function _contextSuffixLength() internal view virtual returns (uint256) {\n        return 0;\n    }\n}\n"},{"file_path":"lib/openzeppelin-contracts/contracts/access/Ownable.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.0.0) (access/Ownable.sol)\n\npragma solidity ^0.8.20;\n\nimport {Context} from \"../utils/Context.sol\";\n\n/**\n * @dev Contract module which provides a basic access control mechanism, where\n * there is an account (an owner) that can be granted exclusive access to\n * specific functions.\n *\n * The initial owner is set to the address provided by the deployer. This can\n * later be changed with {transferOwnership}.\n *\n * This module is used through inheritance. It will make available the modifier\n * `onlyOwner`, which can be applied to your functions to restrict their use to\n * the owner.\n */\nabstract contract Ownable is Context {\n    address private _owner;\n\n    /**\n     * @dev The caller account is not authorized to perform an operation.\n     */\n    error OwnableUnauthorizedAccount(address account);\n\n    /**\n     * @dev The owner is not a valid owner account. (eg. `address(0)`)\n     */\n    error OwnableInvalidOwner(address owner);\n\n    event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);\n\n    /**\n     * @dev Initializes the contract setting the address provided by the deployer as the initial owner.\n     */\n    constructor(address initialOwner) {\n        if (initialOwner == address(0)) {\n            revert OwnableInvalidOwner(address(0));\n        }\n        _transferOwnership(initialOwner);\n    }\n\n    /**\n     * @dev Throws if called by any account other than the owner.\n     */\n    modifier onlyOwner() {\n        _checkOwner();\n        _;\n    }\n\n    /**\n     * @dev Returns the address of the current owner.\n     */\n    function owner() public view virtual returns (address) {\n        return _owner;\n    }\n\n    /**\n     * @dev Throws if the sender is not the owner.\n     */\n    function _checkOwner() internal view virtual {\n        if (owner() != _msgSender()) {\n            revert OwnableUnauthorizedAccount(_msgSender());\n        }\n    }\n\n    /**\n     * @dev Leaves the contract without owner. It will not be possible to call\n     * `onlyOwner` functions. Can only be called by the current owner.\n     *\n     * NOTE: Renouncing ownership will leave the contract without an owner,\n     * thereby disabling any functionality that is only available to the owner.\n     */\n    function renounceOwnership() public virtual onlyOwner {\n        _transferOwnership(address(0));\n    }\n\n    /**\n     * @dev Transfers ownership of the contract to a new account (`newOwner`).\n     * Can only be called by the current owner.\n     */\n    function transferOwnership(address newOwner) public virtual onlyOwner {\n        if (newOwner == address(0)) {\n            revert OwnableInvalidOwner(address(0));\n        }\n        _transferOwnership(newOwner);\n    }\n\n    /**\n     * @dev Transfers ownership of the contract to a new account (`newOwner`).\n     * Internal function without access restriction.\n     */\n    function _transferOwnership(address newOwner) internal virtual {\n        address oldOwner = _owner;\n        _owner = newOwner;\n        emit OwnershipTransferred(oldOwner, newOwner);\n    }\n}\n"},{"file_path":"lib/openzeppelin-contracts/contracts/interfaces/IERC5267.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.0.0) (interfaces/IERC5267.sol)\n\npragma solidity ^0.8.20;\n\ninterface IERC5267 {\n    /**\n     * @dev MAY be emitted to signal that the domain could have changed.\n     */\n    event EIP712DomainChanged();\n\n    /**\n     * @dev returns the fields and values that describe the domain separator used by this contract for EIP-712\n     * signature.\n     */\n    function eip712Domain()\n        external\n        view\n        returns (\n            bytes1 fields,\n            string memory name,\n            string memory version,\n            uint256 chainId,\n            address verifyingContract,\n            bytes32 salt,\n            uint256[] memory extensions\n        );\n}\n"},{"file_path":"lib/openzeppelin-contracts/contracts/interfaces/draft-IERC6093.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.1.0) (interfaces/draft-IERC6093.sol)\npragma solidity ^0.8.20;\n\n/**\n * @dev Standard ERC-20 Errors\n * Interface of the https://eips.ethereum.org/EIPS/eip-6093[ERC-6093] custom errors for ERC-20 tokens.\n */\ninterface IERC20Errors {\n    /**\n     * @dev Indicates an error related to the current `balance` of a `sender`. Used in transfers.\n     * @param sender Address whose tokens are being transferred.\n     * @param balance Current balance for the interacting account.\n     * @param needed Minimum amount required to perform a transfer.\n     */\n    error ERC20InsufficientBalance(address sender, uint256 balance, uint256 needed);\n\n    /**\n     * @dev Indicates a failure with the token `sender`. Used in transfers.\n     * @param sender Address whose tokens are being transferred.\n     */\n    error ERC20InvalidSender(address sender);\n\n    /**\n     * @dev Indicates a failure with the token `receiver`. Used in transfers.\n     * @param receiver Address to which tokens are being transferred.\n     */\n    error ERC20InvalidReceiver(address receiver);\n\n    /**\n     * @dev Indicates a failure with the `spender`’s `allowance`. Used in transfers.\n     * @param spender Address that may be allowed to operate on tokens without being their owner.\n     * @param allowance Amount of tokens a `spender` is allowed to operate with.\n     * @param needed Minimum amount required to perform a transfer.\n     */\n    error ERC20InsufficientAllowance(address spender, uint256 allowance, uint256 needed);\n\n    /**\n     * @dev Indicates a failure with the `approver` of a token to be approved. Used in approvals.\n     * @param approver Address initiating an approval operation.\n     */\n    error ERC20InvalidApprover(address approver);\n\n    /**\n     * @dev Indicates a failure with the `spender` to be approved. Used in approvals.\n     * @param spender Address that may be allowed to operate on tokens without being their owner.\n     */\n    error ERC20InvalidSpender(address spender);\n}\n\n/**\n * @dev Standard ERC-721 Errors\n * Interface of the https://eips.ethereum.org/EIPS/eip-6093[ERC-6093] custom errors for ERC-721 tokens.\n */\ninterface IERC721Errors {\n    /**\n     * @dev Indicates that an address can't be an owner. For example, `address(0)` is a forbidden owner in ERC-20.\n     * Used in balance queries.\n     * @param owner Address of the current owner of a token.\n     */\n    error ERC721InvalidOwner(address owner);\n\n    /**\n     * @dev Indicates a `tokenId` whose `owner` is the zero address.\n     * @param tokenId Identifier number of a token.\n     */\n    error ERC721NonexistentToken(uint256 tokenId);\n\n    /**\n     * @dev Indicates an error related to the ownership over a particular token. Used in transfers.\n     * @param sender Address whose tokens are being transferred.\n     * @param tokenId Identifier number of a token.\n     * @param owner Address of the current owner of a token.\n     */\n    error ERC721IncorrectOwner(address sender, uint256 tokenId, address owner);\n\n    /**\n     * @dev Indicates a failure with the token `sender`. Used in transfers.\n     * @param sender Address whose tokens are being transferred.\n     */\n    error ERC721InvalidSender(address sender);\n\n    /**\n     * @dev Indicates a failure with the token `receiver`. Used in transfers.\n     * @param receiver Address to which tokens are being transferred.\n     */\n    error ERC721InvalidReceiver(address receiver);\n\n    /**\n     * @dev Indicates a failure with the `operator`’s approval. Used in transfers.\n     * @param operator Address that may be allowed to operate on tokens without being their owner.\n     * @param tokenId Identifier number of a token.\n     */\n    error ERC721InsufficientApproval(address operator, uint256 tokenId);\n\n    /**\n     * @dev Indicates a failure with the `approver` of a token to be approved. Used in approvals.\n     * @param approver Address initiating an approval operation.\n     */\n    error ERC721InvalidApprover(address approver);\n\n    /**\n     * @dev Indicates a failure with the `operator` to be approved. Used in approvals.\n     * @param operator Address that may be allowed to operate on tokens without being their owner.\n     */\n    error ERC721InvalidOperator(address operator);\n}\n\n/**\n * @dev Standard ERC-1155 Errors\n * Interface of the https://eips.ethereum.org/EIPS/eip-6093[ERC-6093] custom errors for ERC-1155 tokens.\n */\ninterface IERC1155Errors {\n    /**\n     * @dev Indicates an error related to the current `balance` of a `sender`. Used in transfers.\n     * @param sender Address whose tokens are being transferred.\n     * @param balance Current balance for the interacting account.\n     * @param needed Minimum amount required to perform a transfer.\n     * @param tokenId Identifier number of a token.\n     */\n    error ERC1155InsufficientBalance(address sender, uint256 balance, uint256 needed, uint256 tokenId);\n\n    /**\n     * @dev Indicates a failure with the token `sender`. Used in transfers.\n     * @param sender Address whose tokens are being transferred.\n     */\n    error ERC1155InvalidSender(address sender);\n\n    /**\n     * @dev Indicates a failure with the token `receiver`. Used in transfers.\n     * @param receiver Address to which tokens are being transferred.\n     */\n    error ERC1155InvalidReceiver(address receiver);\n\n    /**\n     * @dev Indicates a failure with the `operator`’s approval. Used in transfers.\n     * @param operator Address that may be allowed to operate on tokens without being their owner.\n     * @param owner Address of the current owner of a token.\n     */\n    error ERC1155MissingApprovalForAll(address operator, address owner);\n\n    /**\n     * @dev Indicates a failure with the `approver` of a token to be approved. Used in approvals.\n     * @param approver Address initiating an approval operation.\n     */\n    error ERC1155InvalidApprover(address approver);\n\n    /**\n     * @dev Indicates a failure with the `operator` to be approved. Used in approvals.\n     * @param operator Address that may be allowed to operate on tokens without being their owner.\n     */\n    error ERC1155InvalidOperator(address operator);\n\n    /**\n     * @dev Indicates an array length mismatch between ids and values in a safeBatchTransferFrom operation.\n     * Used in batch transfers.\n     * @param idsLength Length of the array of token identifiers\n     * @param valuesLength Length of the array of token amounts\n     */\n    error ERC1155InvalidArrayLength(uint256 idsLength, uint256 valuesLength);\n}\n"},{"file_path":"lib/openzeppelin-contracts/contracts/token/ERC20/ERC20.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.2.0) (token/ERC20/ERC20.sol)\n\npragma solidity ^0.8.20;\n\nimport {IERC20} from \"./IERC20.sol\";\nimport {IERC20Metadata} from \"./extensions/IERC20Metadata.sol\";\nimport {Context} from \"../../utils/Context.sol\";\nimport {IERC20Errors} from \"../../interfaces/draft-IERC6093.sol\";\n\n/**\n * @dev Implementation of the {IERC20} interface.\n *\n * This implementation is agnostic to the way tokens are created. This means\n * that a supply mechanism has to be added in a derived contract using {_mint}.\n *\n * TIP: For a detailed writeup see our guide\n * https://forum.openzeppelin.com/t/how-to-implement-erc20-supply-mechanisms/226[How\n * to implement supply mechanisms].\n *\n * The default value of {decimals} is 18. To change this, you should override\n * this function so it returns a different value.\n *\n * We have followed general OpenZeppelin Contracts guidelines: functions revert\n * instead returning `false` on failure. This behavior is nonetheless\n * conventional and does not conflict with the expectations of ERC-20\n * applications.\n */\nabstract contract ERC20 is Context, IERC20, IERC20Metadata, IERC20Errors {\n    mapping(address account => uint256) private _balances;\n\n    mapping(address account => mapping(address spender => uint256)) private _allowances;\n\n    uint256 private _totalSupply;\n\n    string private _name;\n    string private _symbol;\n\n    /**\n     * @dev Sets the values for {name} and {symbol}.\n     *\n     * All two of these values are immutable: they can only be set once during\n     * construction.\n     */\n    constructor(string memory name_, string memory symbol_) {\n        _name = name_;\n        _symbol = symbol_;\n    }\n\n    /**\n     * @dev Returns the name of the token.\n     */\n    function name() public view virtual returns (string memory) {\n        return _name;\n    }\n\n    /**\n     * @dev Returns the symbol of the token, usually a shorter version of the\n     * name.\n     */\n    function symbol() public view virtual returns (string memory) {\n        return _symbol;\n    }\n\n    /**\n     * @dev Returns the number of decimals used to get its user representation.\n     * For example, if `decimals` equals `2`, a balance of `505` tokens should\n     * be displayed to a user as `5.05` (`505 / 10 ** 2`).\n     *\n     * Tokens usually opt for a value of 18, imitating the relationship between\n     * Ether and Wei. This is the default value returned by this function, unless\n     * it's overridden.\n     *\n     * NOTE: This information is only used for _display_ purposes: it in\n     * no way affects any of the arithmetic of the contract, including\n     * {IERC20-balanceOf} and {IERC20-transfer}.\n     */\n    function decimals() public view virtual returns (uint8) {\n        return 18;\n    }\n\n    /**\n     * @dev See {IERC20-totalSupply}.\n     */\n    function totalSupply() public view virtual returns (uint256) {\n        return _totalSupply;\n    }\n\n    /**\n     * @dev See {IERC20-balanceOf}.\n     */\n    function balanceOf(address account) public view virtual returns (uint256) {\n        return _balances[account];\n    }\n\n    /**\n     * @dev See {IERC20-transfer}.\n     *\n     * Requirements:\n     *\n     * - `to` cannot be the zero address.\n     * - the caller must have a balance of at least `value`.\n     */\n    function transfer(address to, uint256 value) public virtual returns (bool) {\n        address owner = _msgSender();\n        _transfer(owner, to, value);\n        return true;\n    }\n\n    /**\n     * @dev See {IERC20-allowance}.\n     */\n    function allowance(address owner, address spender) public view virtual returns (uint256) {\n        return _allowances[owner][spender];\n    }\n\n    /**\n     * @dev See {IERC20-approve}.\n     *\n     * NOTE: If `value` is the maximum `uint256`, the allowance is not updated on\n     * `transferFrom`. This is semantically equivalent to an infinite approval.\n     *\n     * Requirements:\n     *\n     * - `spender` cannot be the zero address.\n     */\n    function approve(address spender, uint256 value) public virtual returns (bool) {\n        address owner = _msgSender();\n        _approve(owner, spender, value);\n        return true;\n    }\n\n    /**\n     * @dev See {IERC20-transferFrom}.\n     *\n     * Skips emitting an {Approval} event indicating an allowance update. This is not\n     * required by the ERC. See {xref-ERC20-_approve-address-address-uint256-bool-}[_approve].\n     *\n     * NOTE: Does not update the allowance if the current allowance\n     * is the maximum `uint256`.\n     *\n     * Requirements:\n     *\n     * - `from` and `to` cannot be the zero address.\n     * - `from` must have a balance of at least `value`.\n     * - the caller must have allowance for ``from``'s tokens of at least\n     * `value`.\n     */\n    function transferFrom(address from, address to, uint256 value) public virtual returns (bool) {\n        address spender = _msgSender();\n        _spendAllowance(from, spender, value);\n        _transfer(from, to, value);\n        return true;\n    }\n\n    /**\n     * @dev Moves a `value` amount of tokens from `from` to `to`.\n     *\n     * This internal function is equivalent to {transfer}, and can be used to\n     * e.g. implement automatic token fees, slashing mechanisms, etc.\n     *\n     * Emits a {Transfer} event.\n     *\n     * NOTE: This function is not virtual, {_update} should be overridden instead.\n     */\n    function _transfer(address from, address to, uint256 value) internal {\n        if (from == address(0)) {\n            revert ERC20InvalidSender(address(0));\n        }\n        if (to == address(0)) {\n            revert ERC20InvalidReceiver(address(0));\n        }\n        _update(from, to, value);\n    }\n\n    /**\n     * @dev Transfers a `value` amount of tokens from `from` to `to`, or alternatively mints (or burns) if `from`\n     * (or `to`) is the zero address. All customizations to transfers, mints, and burns should be done by overriding\n     * this function.\n     *\n     * Emits a {Transfer} event.\n     */\n    function _update(address from, address to, uint256 value) internal virtual {\n        if (from == address(0)) {\n            // Overflow check required: The rest of the code assumes that totalSupply never overflows\n            _totalSupply += value;\n        } else {\n            uint256 fromBalance = _balances[from];\n            if (fromBalance < value) {\n                revert ERC20InsufficientBalance(from, fromBalance, value);\n            }\n            unchecked {\n                // Overflow not possible: value <= fromBalance <= totalSupply.\n                _balances[from] = fromBalance - value;\n            }\n        }\n\n        if (to == address(0)) {\n            unchecked {\n                // Overflow not possible: value <= totalSupply or value <= fromBalance <= totalSupply.\n                _totalSupply -= value;\n            }\n        } else {\n            unchecked {\n                // Overflow not possible: balance + value is at most totalSupply, which we know fits into a uint256.\n                _balances[to] += value;\n            }\n        }\n\n        emit Transfer(from, to, value);\n    }\n\n    /**\n     * @dev Creates a `value` amount of tokens and assigns them to `account`, by transferring it from address(0).\n     * Relies on the `_update` mechanism\n     *\n     * Emits a {Transfer} event with `from` set to the zero address.\n     *\n     * NOTE: This function is not virtual, {_update} should be overridden instead.\n     */\n    function _mint(address account, uint256 value) internal {\n        if (account == address(0)) {\n            revert ERC20InvalidReceiver(address(0));\n        }\n        _update(address(0), account, value);\n    }\n\n    /**\n     * @dev Destroys a `value` amount of tokens from `account`, lowering the total supply.\n     * Relies on the `_update` mechanism.\n     *\n     * Emits a {Transfer} event with `to` set to the zero address.\n     *\n     * NOTE: This function is not virtual, {_update} should be overridden instead\n     */\n    function _burn(address account, uint256 value) internal {\n        if (account == address(0)) {\n            revert ERC20InvalidSender(address(0));\n        }\n        _update(account, address(0), value);\n    }\n\n    /**\n     * @dev Sets `value` as the allowance of `spender` over the `owner` s tokens.\n     *\n     * This internal function is equivalent to `approve`, and can be used to\n     * e.g. set automatic allowances for certain subsystems, etc.\n     *\n     * Emits an {Approval} event.\n     *\n     * Requirements:\n     *\n     * - `owner` cannot be the zero address.\n     * - `spender` cannot be the zero address.\n     *\n     * Overrides to this logic should be done to the variant with an additional `bool emitEvent` argument.\n     */\n    function _approve(address owner, address spender, uint256 value) internal {\n        _approve(owner, spender, value, true);\n    }\n\n    /**\n     * @dev Variant of {_approve} with an optional flag to enable or disable the {Approval} event.\n     *\n     * By default (when calling {_approve}) the flag is set to true. On the other hand, approval changes made by\n     * `_spendAllowance` during the `transferFrom` operation set the flag to false. This saves gas by not emitting any\n     * `Approval` event during `transferFrom` operations.\n     *\n     * Anyone who wishes to continue emitting `Approval` events on the`transferFrom` operation can force the flag to\n     * true using the following override:\n     *\n     * ```solidity\n     * function _approve(address owner, address spender, uint256 value, bool) internal virtual override {\n     *     super._approve(owner, spender, value, true);\n     * }\n     * ```\n     *\n     * Requirements are the same as {_approve}.\n     */\n    function _approve(address owner, address spender, uint256 value, bool emitEvent) internal virtual {\n        if (owner == address(0)) {\n            revert ERC20InvalidApprover(address(0));\n        }\n        if (spender == address(0)) {\n            revert ERC20InvalidSpender(address(0));\n        }\n        _allowances[owner][spender] = value;\n        if (emitEvent) {\n            emit Approval(owner, spender, value);\n        }\n    }\n\n    /**\n     * @dev Updates `owner` s allowance for `spender` based on spent `value`.\n     *\n     * Does not update the allowance value in case of infinite allowance.\n     * Revert if not enough allowance is available.\n     *\n     * Does not emit an {Approval} event.\n     */\n    function _spendAllowance(address owner, address spender, uint256 value) internal virtual {\n        uint256 currentAllowance = allowance(owner, spender);\n        if (currentAllowance < type(uint256).max) {\n            if (currentAllowance < value) {\n                revert ERC20InsufficientAllowance(spender, currentAllowance, value);\n            }\n            unchecked {\n                _approve(owner, spender, currentAllowance - value, false);\n            }\n        }\n    }\n}\n"},{"file_path":"lib/openzeppelin-contracts/contracts/token/ERC20/IERC20.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.1.0) (token/ERC20/IERC20.sol)\n\npragma solidity ^0.8.20;\n\n/**\n * @dev Interface of the ERC-20 standard as defined in the ERC.\n */\ninterface IERC20 {\n    /**\n     * @dev Emitted when `value` tokens are moved from one account (`from`) to\n     * another (`to`).\n     *\n     * Note that `value` may be zero.\n     */\n    event Transfer(address indexed from, address indexed to, uint256 value);\n\n    /**\n     * @dev Emitted when the allowance of a `spender` for an `owner` is set by\n     * a call to {approve}. `value` is the new allowance.\n     */\n    event Approval(address indexed owner, address indexed spender, uint256 value);\n\n    /**\n     * @dev Returns the value of tokens in existence.\n     */\n    function totalSupply() external view returns (uint256);\n\n    /**\n     * @dev Returns the value of tokens owned by `account`.\n     */\n    function balanceOf(address account) external view returns (uint256);\n\n    /**\n     * @dev Moves a `value` amount of tokens from the caller's account to `to`.\n     *\n     * Returns a boolean value indicating whether the operation succeeded.\n     *\n     * Emits a {Transfer} event.\n     */\n    function transfer(address to, uint256 value) external returns (bool);\n\n    /**\n     * @dev Returns the remaining number of tokens that `spender` will be\n     * allowed to spend on behalf of `owner` through {transferFrom}. This is\n     * zero by default.\n     *\n     * This value changes when {approve} or {transferFrom} are called.\n     */\n    function allowance(address owner, address spender) external view returns (uint256);\n\n    /**\n     * @dev Sets a `value` amount of tokens as the allowance of `spender` over the\n     * caller's tokens.\n     *\n     * Returns a boolean value indicating whether the operation succeeded.\n     *\n     * IMPORTANT: Beware that changing an allowance with this method brings the risk\n     * that someone may use both the old and the new allowance by unfortunate\n     * transaction ordering. One possible solution to mitigate this race\n     * condition is to first reduce the spender's allowance to 0 and set the\n     * desired value afterwards:\n     * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729\n     *\n     * Emits an {Approval} event.\n     */\n    function approve(address spender, uint256 value) external returns (bool);\n\n    /**\n     * @dev Moves a `value` amount of tokens from `from` to `to` using the\n     * allowance mechanism. `value` is then deducted from the caller's\n     * allowance.\n     *\n     * Returns a boolean value indicating whether the operation succeeded.\n     *\n     * Emits a {Transfer} event.\n     */\n    function transferFrom(address from, address to, uint256 value) external returns (bool);\n}\n"},{"file_path":"lib/openzeppelin-contracts/contracts/token/ERC20/extensions/ERC20Permit.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.1.0) (token/ERC20/extensions/ERC20Permit.sol)\n\npragma solidity ^0.8.20;\n\nimport {IERC20Permit} from \"./IERC20Permit.sol\";\nimport {ERC20} from \"../ERC20.sol\";\nimport {ECDSA} from \"../../../utils/cryptography/ECDSA.sol\";\nimport {EIP712} from \"../../../utils/cryptography/EIP712.sol\";\nimport {Nonces} from \"../../../utils/Nonces.sol\";\n\n/**\n * @dev Implementation of the ERC-20 Permit extension allowing approvals to be made via signatures, as defined in\n * https://eips.ethereum.org/EIPS/eip-2612[ERC-2612].\n *\n * Adds the {permit} method, which can be used to change an account's ERC-20 allowance (see {IERC20-allowance}) by\n * presenting a message signed by the account. By not relying on `{IERC20-approve}`, the token holder account doesn't\n * need to send a transaction, and thus is not required to hold Ether at all.\n */\nabstract contract ERC20Permit is ERC20, IERC20Permit, EIP712, Nonces {\n    bytes32 private constant PERMIT_TYPEHASH =\n        keccak256(\"Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)\");\n\n    /**\n     * @dev Permit deadline has expired.\n     */\n    error ERC2612ExpiredSignature(uint256 deadline);\n\n    /**\n     * @dev Mismatched signature.\n     */\n    error ERC2612InvalidSigner(address signer, address owner);\n\n    /**\n     * @dev Initializes the {EIP712} domain separator using the `name` parameter, and setting `version` to `\"1\"`.\n     *\n     * It's a good idea to use the same `name` that is defined as the ERC-20 token name.\n     */\n    constructor(string memory name) EIP712(name, \"1\") {}\n\n    /**\n     * @inheritdoc IERC20Permit\n     */\n    function permit(\n        address owner,\n        address spender,\n        uint256 value,\n        uint256 deadline,\n        uint8 v,\n        bytes32 r,\n        bytes32 s\n    ) public virtual {\n        if (block.timestamp > deadline) {\n            revert ERC2612ExpiredSignature(deadline);\n        }\n\n        bytes32 structHash = keccak256(abi.encode(PERMIT_TYPEHASH, owner, spender, value, _useNonce(owner), deadline));\n\n        bytes32 hash = _hashTypedDataV4(structHash);\n\n        address signer = ECDSA.recover(hash, v, r, s);\n        if (signer != owner) {\n            revert ERC2612InvalidSigner(signer, owner);\n        }\n\n        _approve(owner, spender, value);\n    }\n\n    /**\n     * @inheritdoc IERC20Permit\n     */\n    function nonces(address owner) public view virtual override(IERC20Permit, Nonces) returns (uint256) {\n        return super.nonces(owner);\n    }\n\n    /**\n     * @inheritdoc IERC20Permit\n     */\n    // solhint-disable-next-line func-name-mixedcase\n    function DOMAIN_SEPARATOR() external view virtual returns (bytes32) {\n        return _domainSeparatorV4();\n    }\n}\n"},{"file_path":"lib/openzeppelin-contracts/contracts/token/ERC20/extensions/IERC20Metadata.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.1.0) (token/ERC20/extensions/IERC20Metadata.sol)\n\npragma solidity ^0.8.20;\n\nimport {IERC20} from \"../IERC20.sol\";\n\n/**\n * @dev Interface for the optional metadata functions from the ERC-20 standard.\n */\ninterface IERC20Metadata is IERC20 {\n    /**\n     * @dev Returns the name of the token.\n     */\n    function name() external view returns (string memory);\n\n    /**\n     * @dev Returns the symbol of the token.\n     */\n    function symbol() external view returns (string memory);\n\n    /**\n     * @dev Returns the decimals places of the token.\n     */\n    function decimals() external view returns (uint8);\n}\n"},{"file_path":"lib/openzeppelin-contracts/contracts/utils/Nonces.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.0.0) (utils/Nonces.sol)\npragma solidity ^0.8.20;\n\n/**\n * @dev Provides tracking nonces for addresses. Nonces will only increment.\n */\nabstract contract Nonces {\n    /**\n     * @dev The nonce used for an `account` is not the expected current nonce.\n     */\n    error InvalidAccountNonce(address account, uint256 currentNonce);\n\n    mapping(address account => uint256) private _nonces;\n\n    /**\n     * @dev Returns the next unused nonce for an address.\n     */\n    function nonces(address owner) public view virtual returns (uint256) {\n        return _nonces[owner];\n    }\n\n    /**\n     * @dev Consumes a nonce.\n     *\n     * Returns the current value and increments nonce.\n     */\n    function _useNonce(address owner) internal virtual returns (uint256) {\n        // For each account, the nonce has an initial value of 0, can only be incremented by one, and cannot be\n        // decremented or reset. This guarantees that the nonce never overflows.\n        unchecked {\n            // It is important to do x++ and not ++x here.\n            return _nonces[owner]++;\n        }\n    }\n\n    /**\n     * @dev Same as {_useNonce} but checking that `nonce` is the next valid for `owner`.\n     */\n    function _useCheckedNonce(address owner, uint256 nonce) internal virtual {\n        uint256 current = _useNonce(owner);\n        if (nonce != current) {\n            revert InvalidAccountNonce(owner, current);\n        }\n    }\n}\n"},{"file_path":"lib/openzeppelin-contracts/contracts/utils/Panic.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.1.0) (utils/Panic.sol)\n\npragma solidity ^0.8.20;\n\n/**\n * @dev Helper library for emitting standardized panic codes.\n *\n * ```solidity\n * contract Example {\n *      using Panic for uint256;\n *\n *      // Use any of the declared internal constants\n *      function foo() { Panic.GENERIC.panic(); }\n *\n *      // Alternatively\n *      function foo() { Panic.panic(Panic.GENERIC); }\n * }\n * ```\n *\n * Follows the list from https://github.com/ethereum/solidity/blob/v0.8.24/libsolutil/ErrorCodes.h[libsolutil].\n *\n * _Available since v5.1._\n */\n// slither-disable-next-line unused-state\nlibrary Panic {\n    /// @dev generic / unspecified error\n    uint256 internal constant GENERIC = 0x00;\n    /// @dev used by the assert() builtin\n    uint256 internal constant ASSERT = 0x01;\n    /// @dev arithmetic underflow or overflow\n    uint256 internal constant UNDER_OVERFLOW = 0x11;\n    /// @dev division or modulo by zero\n    uint256 internal constant DIVISION_BY_ZERO = 0x12;\n    /// @dev enum conversion error\n    uint256 internal constant ENUM_CONVERSION_ERROR = 0x21;\n    /// @dev invalid encoding in storage\n    uint256 internal constant STORAGE_ENCODING_ERROR = 0x22;\n    /// @dev empty array pop\n    uint256 internal constant EMPTY_ARRAY_POP = 0x31;\n    /// @dev array out of bounds access\n    uint256 internal constant ARRAY_OUT_OF_BOUNDS = 0x32;\n    /// @dev resource error (too large allocation or too large array)\n    uint256 internal constant RESOURCE_ERROR = 0x41;\n    /// @dev calling invalid internal function\n    uint256 internal constant INVALID_INTERNAL_FUNCTION = 0x51;\n\n    /// @dev Reverts with a panic code. Recommended to use with\n    /// the internal constants with predefined codes.\n    function panic(uint256 code) internal pure {\n        assembly (\"memory-safe\") {\n            mstore(0x00, 0x4e487b71)\n            mstore(0x20, code)\n            revert(0x1c, 0x24)\n        }\n    }\n}\n"},{"file_path":"lib/openzeppelin-contracts/contracts/utils/ShortStrings.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.1.0) (utils/ShortStrings.sol)\n\npragma solidity ^0.8.20;\n\nimport {StorageSlot} from \"./StorageSlot.sol\";\n\n// | string  | 0xAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA   |\n// | length  | 0x                                                              BB |\ntype ShortString is bytes32;\n\n/**\n * @dev This library provides functions to convert short memory strings\n * into a `ShortString` type that can be used as an immutable variable.\n *\n * Strings of arbitrary length can be optimized using this library if\n * they are short enough (up to 31 bytes) by packing them with their\n * length (1 byte) in a single EVM word (32 bytes). Additionally, a\n * fallback mechanism can be used for every other case.\n *\n * Usage example:\n *\n * ```solidity\n * contract Named {\n *     using ShortStrings for *;\n *\n *     ShortString private immutable _name;\n *     string private _nameFallback;\n *\n *     constructor(string memory contractName) {\n *         _name = contractName.toShortStringWithFallback(_nameFallback);\n *     }\n *\n *     function name() external view returns (string memory) {\n *         return _name.toStringWithFallback(_nameFallback);\n *     }\n * }\n * ```\n */\nlibrary ShortStrings {\n    // Used as an identifier for strings longer than 31 bytes.\n    bytes32 private constant FALLBACK_SENTINEL = 0x00000000000000000000000000000000000000000000000000000000000000FF;\n\n    error StringTooLong(string str);\n    error InvalidShortString();\n\n    /**\n     * @dev Encode a string of at most 31 chars into a `ShortString`.\n     *\n     * This will trigger a `StringTooLong` error is the input string is too long.\n     */\n    function toShortString(string memory str) internal pure returns (ShortString) {\n        bytes memory bstr = bytes(str);\n        if (bstr.length > 31) {\n            revert StringTooLong(str);\n        }\n        return ShortString.wrap(bytes32(uint256(bytes32(bstr)) | bstr.length));\n    }\n\n    /**\n     * @dev Decode a `ShortString` back to a \"normal\" string.\n     */\n    function toString(ShortString sstr) internal pure returns (string memory) {\n        uint256 len = byteLength(sstr);\n        // using `new string(len)` would work locally but is not memory safe.\n        string memory str = new string(32);\n        assembly (\"memory-safe\") {\n            mstore(str, len)\n            mstore(add(str, 0x20), sstr)\n        }\n        return str;\n    }\n\n    /**\n     * @dev Return the length of a `ShortString`.\n     */\n    function byteLength(ShortString sstr) internal pure returns (uint256) {\n        uint256 result = uint256(ShortString.unwrap(sstr)) & 0xFF;\n        if (result > 31) {\n            revert InvalidShortString();\n        }\n        return result;\n    }\n\n    /**\n     * @dev Encode a string into a `ShortString`, or write it to storage if it is too long.\n     */\n    function toShortStringWithFallback(string memory value, string storage store) internal returns (ShortString) {\n        if (bytes(value).length < 32) {\n            return toShortString(value);\n        } else {\n            StorageSlot.getStringSlot(store).value = value;\n            return ShortString.wrap(FALLBACK_SENTINEL);\n        }\n    }\n\n    /**\n     * @dev Decode a string that was encoded to `ShortString` or written to storage using {setWithFallback}.\n     */\n    function toStringWithFallback(ShortString value, string storage store) internal pure returns (string memory) {\n        if (ShortString.unwrap(value) != FALLBACK_SENTINEL) {\n            return toString(value);\n        } else {\n            return store;\n        }\n    }\n\n    /**\n     * @dev Return the length of a string that was encoded to `ShortString` or written to storage using\n     * {setWithFallback}.\n     *\n     * WARNING: This will return the \"byte length\" of the string. This may not reflect the actual length in terms of\n     * actual characters as the UTF-8 encoding of a single character can span over multiple bytes.\n     */\n    function byteLengthWithFallback(ShortString value, string storage store) internal view returns (uint256) {\n        if (ShortString.unwrap(value) != FALLBACK_SENTINEL) {\n            return byteLength(value);\n        } else {\n            return bytes(store).length;\n        }\n    }\n}\n"},{"file_path":"lib/openzeppelin-contracts/contracts/utils/StorageSlot.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.1.0) (utils/StorageSlot.sol)\n// This file was procedurally generated from scripts/generate/templates/StorageSlot.js.\n\npragma solidity ^0.8.20;\n\n/**\n * @dev Library for reading and writing primitive types to specific storage slots.\n *\n * Storage slots are often used to avoid storage conflict when dealing with upgradeable contracts.\n * This library helps with reading and writing to such slots without the need for inline assembly.\n *\n * The functions in this library return Slot structs that contain a `value` member that can be used to read or write.\n *\n * Example usage to set ERC-1967 implementation slot:\n * ```solidity\n * contract ERC1967 {\n *     // Define the slot. Alternatively, use the SlotDerivation library to derive the slot.\n *     bytes32 internal constant _IMPLEMENTATION_SLOT = 0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc;\n *\n *     function _getImplementation() internal view returns (address) {\n *         return StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value;\n *     }\n *\n *     function _setImplementation(address newImplementation) internal {\n *         require(newImplementation.code.length > 0);\n *         StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value = newImplementation;\n *     }\n * }\n * ```\n *\n * TIP: Consider using this library along with {SlotDerivation}.\n */\nlibrary StorageSlot {\n    struct AddressSlot {\n        address value;\n    }\n\n    struct BooleanSlot {\n        bool value;\n    }\n\n    struct Bytes32Slot {\n        bytes32 value;\n    }\n\n    struct Uint256Slot {\n        uint256 value;\n    }\n\n    struct Int256Slot {\n        int256 value;\n    }\n\n    struct StringSlot {\n        string value;\n    }\n\n    struct BytesSlot {\n        bytes value;\n    }\n\n    /**\n     * @dev Returns an `AddressSlot` with member `value` located at `slot`.\n     */\n    function getAddressSlot(bytes32 slot) internal pure returns (AddressSlot storage r) {\n        assembly (\"memory-safe\") {\n            r.slot := slot\n        }\n    }\n\n    /**\n     * @dev Returns a `BooleanSlot` with member `value` located at `slot`.\n     */\n    function getBooleanSlot(bytes32 slot) internal pure returns (BooleanSlot storage r) {\n        assembly (\"memory-safe\") {\n            r.slot := slot\n        }\n    }\n\n    /**\n     * @dev Returns a `Bytes32Slot` with member `value` located at `slot`.\n     */\n    function getBytes32Slot(bytes32 slot) internal pure returns (Bytes32Slot storage r) {\n        assembly (\"memory-safe\") {\n            r.slot := slot\n        }\n    }\n\n    /**\n     * @dev Returns a `Uint256Slot` with member `value` located at `slot`.\n     */\n    function getUint256Slot(bytes32 slot) internal pure returns (Uint256Slot storage r) {\n        assembly (\"memory-safe\") {\n            r.slot := slot\n        }\n    }\n\n    /**\n     * @dev Returns a `Int256Slot` with member `value` located at `slot`.\n     */\n    function getInt256Slot(bytes32 slot) internal pure returns (Int256Slot storage r) {\n        assembly (\"memory-safe\") {\n            r.slot := slot\n        }\n    }\n\n    /**\n     * @dev Returns a `StringSlot` with member `value` located at `slot`.\n     */\n    function getStringSlot(bytes32 slot) internal pure returns (StringSlot storage r) {\n        assembly (\"memory-safe\") {\n            r.slot := slot\n        }\n    }\n\n    /**\n     * @dev Returns an `StringSlot` representation of the string storage pointer `store`.\n     */\n    function getStringSlot(string storage store) internal pure returns (StringSlot storage r) {\n        assembly (\"memory-safe\") {\n            r.slot := store.slot\n        }\n    }\n\n    /**\n     * @dev Returns a `BytesSlot` with member `value` located at `slot`.\n     */\n    function getBytesSlot(bytes32 slot) internal pure returns (BytesSlot storage r) {\n        assembly (\"memory-safe\") {\n            r.slot := slot\n        }\n    }\n\n    /**\n     * @dev Returns an `BytesSlot` representation of the bytes storage pointer `store`.\n     */\n    function getBytesSlot(bytes storage store) internal pure returns (BytesSlot storage r) {\n        assembly (\"memory-safe\") {\n            r.slot := store.slot\n        }\n    }\n}\n"},{"file_path":"lib/openzeppelin-contracts/contracts/utils/Strings.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.2.0) (utils/Strings.sol)\n\npragma solidity ^0.8.20;\n\nimport {Math} from \"./math/Math.sol\";\nimport {SafeCast} from \"./math/SafeCast.sol\";\nimport {SignedMath} from \"./math/SignedMath.sol\";\n\n/**\n * @dev String operations.\n */\nlibrary Strings {\n    using SafeCast for *;\n\n    bytes16 private constant HEX_DIGITS = \"0123456789abcdef\";\n    uint8 private constant ADDRESS_LENGTH = 20;\n\n    /**\n     * @dev The `value` string doesn't fit in the specified `length`.\n     */\n    error StringsInsufficientHexLength(uint256 value, uint256 length);\n\n    /**\n     * @dev The string being parsed contains characters that are not in scope of the given base.\n     */\n    error StringsInvalidChar();\n\n    /**\n     * @dev The string being parsed is not a properly formatted address.\n     */\n    error StringsInvalidAddressFormat();\n\n    /**\n     * @dev Converts a `uint256` to its ASCII `string` decimal representation.\n     */\n    function toString(uint256 value) internal pure returns (string memory) {\n        unchecked {\n            uint256 length = Math.log10(value) + 1;\n            string memory buffer = new string(length);\n            uint256 ptr;\n            assembly (\"memory-safe\") {\n                ptr := add(buffer, add(32, length))\n            }\n            while (true) {\n                ptr--;\n                assembly (\"memory-safe\") {\n                    mstore8(ptr, byte(mod(value, 10), HEX_DIGITS))\n                }\n                value /= 10;\n                if (value == 0) break;\n            }\n            return buffer;\n        }\n    }\n\n    /**\n     * @dev Converts a `int256` to its ASCII `string` decimal representation.\n     */\n    function toStringSigned(int256 value) internal pure returns (string memory) {\n        return string.concat(value < 0 ? \"-\" : \"\", toString(SignedMath.abs(value)));\n    }\n\n    /**\n     * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation.\n     */\n    function toHexString(uint256 value) internal pure returns (string memory) {\n        unchecked {\n            return toHexString(value, Math.log256(value) + 1);\n        }\n    }\n\n    /**\n     * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation with fixed length.\n     */\n    function toHexString(uint256 value, uint256 length) internal pure returns (string memory) {\n        uint256 localValue = value;\n        bytes memory buffer = new bytes(2 * length + 2);\n        buffer[0] = \"0\";\n        buffer[1] = \"x\";\n        for (uint256 i = 2 * length + 1; i > 1; --i) {\n            buffer[i] = HEX_DIGITS[localValue & 0xf];\n            localValue >>= 4;\n        }\n        if (localValue != 0) {\n            revert StringsInsufficientHexLength(value, length);\n        }\n        return string(buffer);\n    }\n\n    /**\n     * @dev Converts an `address` with fixed length of 20 bytes to its not checksummed ASCII `string` hexadecimal\n     * representation.\n     */\n    function toHexString(address addr) internal pure returns (string memory) {\n        return toHexString(uint256(uint160(addr)), ADDRESS_LENGTH);\n    }\n\n    /**\n     * @dev Converts an `address` with fixed length of 20 bytes to its checksummed ASCII `string` hexadecimal\n     * representation, according to EIP-55.\n     */\n    function toChecksumHexString(address addr) internal pure returns (string memory) {\n        bytes memory buffer = bytes(toHexString(addr));\n\n        // hash the hex part of buffer (skip length + 2 bytes, length 40)\n        uint256 hashValue;\n        assembly (\"memory-safe\") {\n            hashValue := shr(96, keccak256(add(buffer, 0x22), 40))\n        }\n\n        for (uint256 i = 41; i > 1; --i) {\n            // possible values for buffer[i] are 48 (0) to 57 (9) and 97 (a) to 102 (f)\n            if (hashValue & 0xf > 7 && uint8(buffer[i]) > 96) {\n                // case shift by xoring with 0x20\n                buffer[i] ^= 0x20;\n            }\n            hashValue >>= 4;\n        }\n        return string(buffer);\n    }\n\n    /**\n     * @dev Returns true if the two strings are equal.\n     */\n    function equal(string memory a, string memory b) internal pure returns (bool) {\n        return bytes(a).length == bytes(b).length && keccak256(bytes(a)) == keccak256(bytes(b));\n    }\n\n    /**\n     * @dev Parse a decimal string and returns the value as a `uint256`.\n     *\n     * Requirements:\n     * - The string must be formatted as `[0-9]*`\n     * - The result must fit into an `uint256` type\n     */\n    function parseUint(string memory input) internal pure returns (uint256) {\n        return parseUint(input, 0, bytes(input).length);\n    }\n\n    /**\n     * @dev Variant of {parseUint} that parses a substring of `input` located between position `begin` (included) and\n     * `end` (excluded).\n     *\n     * Requirements:\n     * - The substring must be formatted as `[0-9]*`\n     * - The result must fit into an `uint256` type\n     */\n    function parseUint(string memory input, uint256 begin, uint256 end) internal pure returns (uint256) {\n        (bool success, uint256 value) = tryParseUint(input, begin, end);\n        if (!success) revert StringsInvalidChar();\n        return value;\n    }\n\n    /**\n     * @dev Variant of {parseUint-string} that returns false if the parsing fails because of an invalid character.\n     *\n     * NOTE: This function will revert if the result does not fit in a `uint256`.\n     */\n    function tryParseUint(string memory input) internal pure returns (bool success, uint256 value) {\n        return _tryParseUintUncheckedBounds(input, 0, bytes(input).length);\n    }\n\n    /**\n     * @dev Variant of {parseUint-string-uint256-uint256} that returns false if the parsing fails because of an invalid\n     * character.\n     *\n     * NOTE: This function will revert if the result does not fit in a `uint256`.\n     */\n    function tryParseUint(\n        string memory input,\n        uint256 begin,\n        uint256 end\n    ) internal pure returns (bool success, uint256 value) {\n        if (end > bytes(input).length || begin > end) return (false, 0);\n        return _tryParseUintUncheckedBounds(input, begin, end);\n    }\n\n    /**\n     * @dev Implementation of {tryParseUint} that does not check bounds. Caller should make sure that\n     * `begin <= end <= input.length`. Other inputs would result in undefined behavior.\n     */\n    function _tryParseUintUncheckedBounds(\n        string memory input,\n        uint256 begin,\n        uint256 end\n    ) private pure returns (bool success, uint256 value) {\n        bytes memory buffer = bytes(input);\n\n        uint256 result = 0;\n        for (uint256 i = begin; i < end; ++i) {\n            uint8 chr = _tryParseChr(bytes1(_unsafeReadBytesOffset(buffer, i)));\n            if (chr > 9) return (false, 0);\n            result *= 10;\n            result += chr;\n        }\n        return (true, result);\n    }\n\n    /**\n     * @dev Parse a decimal string and returns the value as a `int256`.\n     *\n     * Requirements:\n     * - The string must be formatted as `[-+]?[0-9]*`\n     * - The result must fit in an `int256` type.\n     */\n    function parseInt(string memory input) internal pure returns (int256) {\n        return parseInt(input, 0, bytes(input).length);\n    }\n\n    /**\n     * @dev Variant of {parseInt-string} that parses a substring of `input` located between position `begin` (included) and\n     * `end` (excluded).\n     *\n     * Requirements:\n     * - The substring must be formatted as `[-+]?[0-9]*`\n     * - The result must fit in an `int256` type.\n     */\n    function parseInt(string memory input, uint256 begin, uint256 end) internal pure returns (int256) {\n        (bool success, int256 value) = tryParseInt(input, begin, end);\n        if (!success) revert StringsInvalidChar();\n        return value;\n    }\n\n    /**\n     * @dev Variant of {parseInt-string} that returns false if the parsing fails because of an invalid character or if\n     * the result does not fit in a `int256`.\n     *\n     * NOTE: This function will revert if the absolute value of the result does not fit in a `uint256`.\n     */\n    function tryParseInt(string memory input) internal pure returns (bool success, int256 value) {\n        return _tryParseIntUncheckedBounds(input, 0, bytes(input).length);\n    }\n\n    uint256 private constant ABS_MIN_INT256 = 2 ** 255;\n\n    /**\n     * @dev Variant of {parseInt-string-uint256-uint256} that returns false if the parsing fails because of an invalid\n     * character or if the result does not fit in a `int256`.\n     *\n     * NOTE: This function will revert if the absolute value of the result does not fit in a `uint256`.\n     */\n    function tryParseInt(\n        string memory input,\n        uint256 begin,\n        uint256 end\n    ) internal pure returns (bool success, int256 value) {\n        if (end > bytes(input).length || begin > end) return (false, 0);\n        return _tryParseIntUncheckedBounds(input, begin, end);\n    }\n\n    /**\n     * @dev Implementation of {tryParseInt} that does not check bounds. Caller should make sure that\n     * `begin <= end <= input.length`. Other inputs would result in undefined behavior.\n     */\n    function _tryParseIntUncheckedBounds(\n        string memory input,\n        uint256 begin,\n        uint256 end\n    ) private pure returns (bool success, int256 value) {\n        bytes memory buffer = bytes(input);\n\n        // Check presence of a negative sign.\n        bytes1 sign = begin == end ? bytes1(0) : bytes1(_unsafeReadBytesOffset(buffer, begin)); // don't do out-of-bound (possibly unsafe) read if sub-string is empty\n        bool positiveSign = sign == bytes1(\"+\");\n        bool negativeSign = sign == bytes1(\"-\");\n        uint256 offset = (positiveSign || negativeSign).toUint();\n\n        (bool absSuccess, uint256 absValue) = tryParseUint(input, begin + offset, end);\n\n        if (absSuccess && absValue < ABS_MIN_INT256) {\n            return (true, negativeSign ? -int256(absValue) : int256(absValue));\n        } else if (absSuccess && negativeSign && absValue == ABS_MIN_INT256) {\n            return (true, type(int256).min);\n        } else return (false, 0);\n    }\n\n    /**\n     * @dev Parse a hexadecimal string (with or without \"0x\" prefix), and returns the value as a `uint256`.\n     *\n     * Requirements:\n     * - The string must be formatted as `(0x)?[0-9a-fA-F]*`\n     * - The result must fit in an `uint256` type.\n     */\n    function parseHexUint(string memory input) internal pure returns (uint256) {\n        return parseHexUint(input, 0, bytes(input).length);\n    }\n\n    /**\n     * @dev Variant of {parseHexUint} that parses a substring of `input` located between position `begin` (included) and\n     * `end` (excluded).\n     *\n     * Requirements:\n     * - The substring must be formatted as `(0x)?[0-9a-fA-F]*`\n     * - The result must fit in an `uint256` type.\n     */\n    function parseHexUint(string memory input, uint256 begin, uint256 end) internal pure returns (uint256) {\n        (bool success, uint256 value) = tryParseHexUint(input, begin, end);\n        if (!success) revert StringsInvalidChar();\n        return value;\n    }\n\n    /**\n     * @dev Variant of {parseHexUint-string} that returns false if the parsing fails because of an invalid character.\n     *\n     * NOTE: This function will revert if the result does not fit in a `uint256`.\n     */\n    function tryParseHexUint(string memory input) internal pure returns (bool success, uint256 value) {\n        return _tryParseHexUintUncheckedBounds(input, 0, bytes(input).length);\n    }\n\n    /**\n     * @dev Variant of {parseHexUint-string-uint256-uint256} that returns false if the parsing fails because of an\n     * invalid character.\n     *\n     * NOTE: This function will revert if the result does not fit in a `uint256`.\n     */\n    function tryParseHexUint(\n        string memory input,\n        uint256 begin,\n        uint256 end\n    ) internal pure returns (bool success, uint256 value) {\n        if (end > bytes(input).length || begin > end) return (false, 0);\n        return _tryParseHexUintUncheckedBounds(input, begin, end);\n    }\n\n    /**\n     * @dev Implementation of {tryParseHexUint} that does not check bounds. Caller should make sure that\n     * `begin <= end <= input.length`. Other inputs would result in undefined behavior.\n     */\n    function _tryParseHexUintUncheckedBounds(\n        string memory input,\n        uint256 begin,\n        uint256 end\n    ) private pure returns (bool success, uint256 value) {\n        bytes memory buffer = bytes(input);\n\n        // skip 0x prefix if present\n        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\n        uint256 offset = hasPrefix.toUint() * 2;\n\n        uint256 result = 0;\n        for (uint256 i = begin + offset; i < end; ++i) {\n            uint8 chr = _tryParseChr(bytes1(_unsafeReadBytesOffset(buffer, i)));\n            if (chr > 15) return (false, 0);\n            result *= 16;\n            unchecked {\n                // Multiplying by 16 is equivalent to a shift of 4 bits (with additional overflow check).\n                // This guaratees that adding a value < 16 will not cause an overflow, hence the unchecked.\n                result += chr;\n            }\n        }\n        return (true, result);\n    }\n\n    /**\n     * @dev Parse a hexadecimal string (with or without \"0x\" prefix), and returns the value as an `address`.\n     *\n     * Requirements:\n     * - The string must be formatted as `(0x)?[0-9a-fA-F]{40}`\n     */\n    function parseAddress(string memory input) internal pure returns (address) {\n        return parseAddress(input, 0, bytes(input).length);\n    }\n\n    /**\n     * @dev Variant of {parseAddress} that parses a substring of `input` located between position `begin` (included) and\n     * `end` (excluded).\n     *\n     * Requirements:\n     * - The substring must be formatted as `(0x)?[0-9a-fA-F]{40}`\n     */\n    function parseAddress(string memory input, uint256 begin, uint256 end) internal pure returns (address) {\n        (bool success, address value) = tryParseAddress(input, begin, end);\n        if (!success) revert StringsInvalidAddressFormat();\n        return value;\n    }\n\n    /**\n     * @dev Variant of {parseAddress-string} that returns false if the parsing fails because the input is not a properly\n     * formatted address. See {parseAddress} requirements.\n     */\n    function tryParseAddress(string memory input) internal pure returns (bool success, address value) {\n        return tryParseAddress(input, 0, bytes(input).length);\n    }\n\n    /**\n     * @dev Variant of {parseAddress-string-uint256-uint256} that returns false if the parsing fails because input is not a properly\n     * formatted address. See {parseAddress} requirements.\n     */\n    function tryParseAddress(\n        string memory input,\n        uint256 begin,\n        uint256 end\n    ) internal pure returns (bool success, address value) {\n        if (end > bytes(input).length || begin > end) return (false, address(0));\n\n        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\n        uint256 expectedLength = 40 + hasPrefix.toUint() * 2;\n\n        // check that input is the correct length\n        if (end - begin == expectedLength) {\n            // length guarantees that this does not overflow, and value is at most type(uint160).max\n            (bool s, uint256 v) = _tryParseHexUintUncheckedBounds(input, begin, end);\n            return (s, address(uint160(v)));\n        } else {\n            return (false, address(0));\n        }\n    }\n\n    function _tryParseChr(bytes1 chr) private pure returns (uint8) {\n        uint8 value = uint8(chr);\n\n        // Try to parse `chr`:\n        // - Case 1: [0-9]\n        // - Case 2: [a-f]\n        // - Case 3: [A-F]\n        // - otherwise not supported\n        unchecked {\n            if (value > 47 && value < 58) value -= 48;\n            else if (value > 96 && value < 103) value -= 87;\n            else if (value > 64 && value < 71) value -= 55;\n            else return type(uint8).max;\n        }\n\n        return value;\n    }\n\n    /**\n     * @dev Reads a bytes32 from a bytes array without bounds checking.\n     *\n     * NOTE: making this function internal would mean it could be used with memory unsafe offset, and marking the\n     * assembly block as such would prevent some optimizations.\n     */\n    function _unsafeReadBytesOffset(bytes memory buffer, uint256 offset) private pure returns (bytes32 value) {\n        // This is not memory safe in the general case, but all calls to this private function are within bounds.\n        assembly (\"memory-safe\") {\n            value := mload(add(buffer, add(0x20, offset)))\n        }\n    }\n}\n"},{"file_path":"lib/openzeppelin-contracts/contracts/utils/cryptography/ECDSA.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.1.0) (utils/cryptography/ECDSA.sol)\n\npragma solidity ^0.8.20;\n\n/**\n * @dev Elliptic Curve Digital Signature Algorithm (ECDSA) operations.\n *\n * These functions can be used to verify that a message was signed by the holder\n * of the private keys of a given address.\n */\nlibrary ECDSA {\n    enum RecoverError {\n        NoError,\n        InvalidSignature,\n        InvalidSignatureLength,\n        InvalidSignatureS\n    }\n\n    /**\n     * @dev The signature derives the `address(0)`.\n     */\n    error ECDSAInvalidSignature();\n\n    /**\n     * @dev The signature has an invalid length.\n     */\n    error ECDSAInvalidSignatureLength(uint256 length);\n\n    /**\n     * @dev The signature has an S value that is in the upper half order.\n     */\n    error ECDSAInvalidSignatureS(bytes32 s);\n\n    /**\n     * @dev Returns the address that signed a hashed message (`hash`) with `signature` or an error. This will not\n     * return address(0) without also returning an error description. Errors are documented using an enum (error type)\n     * and a bytes32 providing additional information about the error.\n     *\n     * If no error is returned, then the address can be used for verification purposes.\n     *\n     * The `ecrecover` EVM precompile allows for malleable (non-unique) signatures:\n     * this function rejects them by requiring the `s` value to be in the lower\n     * half order, and the `v` value to be either 27 or 28.\n     *\n     * IMPORTANT: `hash` _must_ be the result of a hash operation for the\n     * verification to be secure: it is possible to craft signatures that\n     * recover to arbitrary addresses for non-hashed data. A safe way to ensure\n     * this is by receiving a hash of the original message (which may otherwise\n     * be too long), and then calling {MessageHashUtils-toEthSignedMessageHash} on it.\n     *\n     * Documentation for signature generation:\n     * - with https://web3js.readthedocs.io/en/v1.3.4/web3-eth-accounts.html#sign[Web3.js]\n     * - with https://docs.ethers.io/v5/api/signer/#Signer-signMessage[ethers]\n     */\n    function tryRecover(\n        bytes32 hash,\n        bytes memory signature\n    ) internal pure returns (address recovered, RecoverError err, bytes32 errArg) {\n        if (signature.length == 65) {\n            bytes32 r;\n            bytes32 s;\n            uint8 v;\n            // ecrecover takes the signature parameters, and the only way to get them\n            // currently is to use assembly.\n            assembly (\"memory-safe\") {\n                r := mload(add(signature, 0x20))\n                s := mload(add(signature, 0x40))\n                v := byte(0, mload(add(signature, 0x60)))\n            }\n            return tryRecover(hash, v, r, s);\n        } else {\n            return (address(0), RecoverError.InvalidSignatureLength, bytes32(signature.length));\n        }\n    }\n\n    /**\n     * @dev Returns the address that signed a hashed message (`hash`) with\n     * `signature`. This address can then be used for verification purposes.\n     *\n     * The `ecrecover` EVM precompile allows for malleable (non-unique) signatures:\n     * this function rejects them by requiring the `s` value to be in the lower\n     * half order, and the `v` value to be either 27 or 28.\n     *\n     * IMPORTANT: `hash` _must_ be the result of a hash operation for the\n     * verification to be secure: it is possible to craft signatures that\n     * recover to arbitrary addresses for non-hashed data. A safe way to ensure\n     * this is by receiving a hash of the original message (which may otherwise\n     * be too long), and then calling {MessageHashUtils-toEthSignedMessageHash} on it.\n     */\n    function recover(bytes32 hash, bytes memory signature) internal pure returns (address) {\n        (address recovered, RecoverError error, bytes32 errorArg) = tryRecover(hash, signature);\n        _throwError(error, errorArg);\n        return recovered;\n    }\n\n    /**\n     * @dev Overload of {ECDSA-tryRecover} that receives the `r` and `vs` short-signature fields separately.\n     *\n     * See https://eips.ethereum.org/EIPS/eip-2098[ERC-2098 short signatures]\n     */\n    function tryRecover(\n        bytes32 hash,\n        bytes32 r,\n        bytes32 vs\n    ) internal pure returns (address recovered, RecoverError err, bytes32 errArg) {\n        unchecked {\n            bytes32 s = vs & bytes32(0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff);\n            // We do not check for an overflow here since the shift operation results in 0 or 1.\n            uint8 v = uint8((uint256(vs) >> 255) + 27);\n            return tryRecover(hash, v, r, s);\n        }\n    }\n\n    /**\n     * @dev Overload of {ECDSA-recover} that receives the `r and `vs` short-signature fields separately.\n     */\n    function recover(bytes32 hash, bytes32 r, bytes32 vs) internal pure returns (address) {\n        (address recovered, RecoverError error, bytes32 errorArg) = tryRecover(hash, r, vs);\n        _throwError(error, errorArg);\n        return recovered;\n    }\n\n    /**\n     * @dev Overload of {ECDSA-tryRecover} that receives the `v`,\n     * `r` and `s` signature fields separately.\n     */\n    function tryRecover(\n        bytes32 hash,\n        uint8 v,\n        bytes32 r,\n        bytes32 s\n    ) internal pure returns (address recovered, RecoverError err, bytes32 errArg) {\n        // EIP-2 still allows signature malleability for ecrecover(). Remove this possibility and make the signature\n        // unique. Appendix F in the Ethereum Yellow paper (https://ethereum.github.io/yellowpaper/paper.pdf), defines\n        // the valid range for s in (301): 0 < s < secp256k1n ÷ 2 + 1, and for v in (302): v ∈ {27, 28}. Most\n        // signatures from current libraries generate a unique signature with an s-value in the lower half order.\n        //\n        // If your library generates malleable signatures, such as s-values in the upper range, calculate a new s-value\n        // with 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141 - s1 and flip v from 27 to 28 or\n        // vice versa. If your library also generates signatures with 0/1 for v instead 27/28, add 27 to v to accept\n        // these malleable signatures as well.\n        if (uint256(s) > 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF5D576E7357A4501DDFE92F46681B20A0) {\n            return (address(0), RecoverError.InvalidSignatureS, s);\n        }\n\n        // If the signature is valid (and not malleable), return the signer address\n        address signer = ecrecover(hash, v, r, s);\n        if (signer == address(0)) {\n            return (address(0), RecoverError.InvalidSignature, bytes32(0));\n        }\n\n        return (signer, RecoverError.NoError, bytes32(0));\n    }\n\n    /**\n     * @dev Overload of {ECDSA-recover} that receives the `v`,\n     * `r` and `s` signature fields separately.\n     */\n    function recover(bytes32 hash, uint8 v, bytes32 r, bytes32 s) internal pure returns (address) {\n        (address recovered, RecoverError error, bytes32 errorArg) = tryRecover(hash, v, r, s);\n        _throwError(error, errorArg);\n        return recovered;\n    }\n\n    /**\n     * @dev Optionally reverts with the corresponding custom error according to the `error` argument provided.\n     */\n    function _throwError(RecoverError error, bytes32 errorArg) private pure {\n        if (error == RecoverError.NoError) {\n            return; // no error: do nothing\n        } else if (error == RecoverError.InvalidSignature) {\n            revert ECDSAInvalidSignature();\n        } else if (error == RecoverError.InvalidSignatureLength) {\n            revert ECDSAInvalidSignatureLength(uint256(errorArg));\n        } else if (error == RecoverError.InvalidSignatureS) {\n            revert ECDSAInvalidSignatureS(errorArg);\n        }\n    }\n}\n"},{"file_path":"lib/openzeppelin-contracts/contracts/utils/cryptography/EIP712.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.1.0) (utils/cryptography/EIP712.sol)\n\npragma solidity ^0.8.20;\n\nimport {MessageHashUtils} from \"./MessageHashUtils.sol\";\nimport {ShortStrings, ShortString} from \"../ShortStrings.sol\";\nimport {IERC5267} from \"../../interfaces/IERC5267.sol\";\n\n/**\n * @dev https://eips.ethereum.org/EIPS/eip-712[EIP-712] is a standard for hashing and signing of typed structured data.\n *\n * The encoding scheme specified in the EIP requires a domain separator and a hash of the typed structured data, whose\n * encoding is very generic and therefore its implementation in Solidity is not feasible, thus this contract\n * does not implement the encoding itself. Protocols need to implement the type-specific encoding they need in order to\n * produce the hash of their typed data using a combination of `abi.encode` and `keccak256`.\n *\n * This contract implements the EIP-712 domain separator ({_domainSeparatorV4}) that is used as part of the encoding\n * scheme, and the final step of the encoding to obtain the message digest that is then signed via ECDSA\n * ({_hashTypedDataV4}).\n *\n * The implementation of the domain separator was designed to be as efficient as possible while still properly updating\n * the chain id to protect against replay attacks on an eventual fork of the chain.\n *\n * NOTE: This contract implements the version of the encoding known as \"v4\", as implemented by the JSON RPC method\n * https://docs.metamask.io/guide/signing-data.html[`eth_signTypedDataV4` in MetaMask].\n *\n * NOTE: In the upgradeable version of this contract, the cached values will correspond to the address, and the domain\n * separator of the implementation contract. This will cause the {_domainSeparatorV4} function to always rebuild the\n * separator from the immutable values, which is cheaper than accessing a cached version in cold storage.\n *\n * @custom:oz-upgrades-unsafe-allow state-variable-immutable\n */\nabstract contract EIP712 is IERC5267 {\n    using ShortStrings for *;\n\n    bytes32 private constant TYPE_HASH =\n        keccak256(\"EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)\");\n\n    // Cache the domain separator as an immutable value, but also store the chain id that it corresponds to, in order to\n    // invalidate the cached domain separator if the chain id changes.\n    bytes32 private immutable _cachedDomainSeparator;\n    uint256 private immutable _cachedChainId;\n    address private immutable _cachedThis;\n\n    bytes32 private immutable _hashedName;\n    bytes32 private immutable _hashedVersion;\n\n    ShortString private immutable _name;\n    ShortString private immutable _version;\n    string private _nameFallback;\n    string private _versionFallback;\n\n    /**\n     * @dev Initializes the domain separator and parameter caches.\n     *\n     * The meaning of `name` and `version` is specified in\n     * https://eips.ethereum.org/EIPS/eip-712#definition-of-domainseparator[EIP-712]:\n     *\n     * - `name`: the user readable name of the signing domain, i.e. the name of the DApp or the protocol.\n     * - `version`: the current major version of the signing domain.\n     *\n     * NOTE: These parameters cannot be changed except through a xref:learn::upgrading-smart-contracts.adoc[smart\n     * contract upgrade].\n     */\n    constructor(string memory name, string memory version) {\n        _name = name.toShortStringWithFallback(_nameFallback);\n        _version = version.toShortStringWithFallback(_versionFallback);\n        _hashedName = keccak256(bytes(name));\n        _hashedVersion = keccak256(bytes(version));\n\n        _cachedChainId = block.chainid;\n        _cachedDomainSeparator = _buildDomainSeparator();\n        _cachedThis = address(this);\n    }\n\n    /**\n     * @dev Returns the domain separator for the current chain.\n     */\n    function _domainSeparatorV4() internal view returns (bytes32) {\n        if (address(this) == _cachedThis && block.chainid == _cachedChainId) {\n            return _cachedDomainSeparator;\n        } else {\n            return _buildDomainSeparator();\n        }\n    }\n\n    function _buildDomainSeparator() private view returns (bytes32) {\n        return keccak256(abi.encode(TYPE_HASH, _hashedName, _hashedVersion, block.chainid, address(this)));\n    }\n\n    /**\n     * @dev Given an already https://eips.ethereum.org/EIPS/eip-712#definition-of-hashstruct[hashed struct], this\n     * function returns the hash of the fully encoded EIP712 message for this domain.\n     *\n     * This hash can be used together with {ECDSA-recover} to obtain the signer of a message. For example:\n     *\n     * ```solidity\n     * bytes32 digest = _hashTypedDataV4(keccak256(abi.encode(\n     *     keccak256(\"Mail(address to,string contents)\"),\n     *     mailTo,\n     *     keccak256(bytes(mailContents))\n     * )));\n     * address signer = ECDSA.recover(digest, signature);\n     * ```\n     */\n    function _hashTypedDataV4(bytes32 structHash) internal view virtual returns (bytes32) {\n        return MessageHashUtils.toTypedDataHash(_domainSeparatorV4(), structHash);\n    }\n\n    /**\n     * @dev See {IERC-5267}.\n     */\n    function eip712Domain()\n        public\n        view\n        virtual\n        returns (\n            bytes1 fields,\n            string memory name,\n            string memory version,\n            uint256 chainId,\n            address verifyingContract,\n            bytes32 salt,\n            uint256[] memory extensions\n        )\n    {\n        return (\n            hex\"0f\", // 01111\n            _EIP712Name(),\n            _EIP712Version(),\n            block.chainid,\n            address(this),\n            bytes32(0),\n            new uint256[](0)\n        );\n    }\n\n    /**\n     * @dev The name parameter for the EIP712 domain.\n     *\n     * NOTE: By default this function reads _name which is an immutable value.\n     * It only reads from storage if necessary (in case the value is too large to fit in a ShortString).\n     */\n    // solhint-disable-next-line func-name-mixedcase\n    function _EIP712Name() internal view returns (string memory) {\n        return _name.toStringWithFallback(_nameFallback);\n    }\n\n    /**\n     * @dev The version parameter for the EIP712 domain.\n     *\n     * NOTE: By default this function reads _version which is an immutable value.\n     * It only reads from storage if necessary (in case the value is too large to fit in a ShortString).\n     */\n    // solhint-disable-next-line func-name-mixedcase\n    function _EIP712Version() internal view returns (string memory) {\n        return _version.toStringWithFallback(_versionFallback);\n    }\n}\n"},{"file_path":"lib/openzeppelin-contracts/contracts/utils/cryptography/MessageHashUtils.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.1.0) (utils/cryptography/MessageHashUtils.sol)\n\npragma solidity ^0.8.20;\n\nimport {Strings} from \"../Strings.sol\";\n\n/**\n * @dev Signature message hash utilities for producing digests to be consumed by {ECDSA} recovery or signing.\n *\n * The library provides methods for generating a hash of a message that conforms to the\n * https://eips.ethereum.org/EIPS/eip-191[ERC-191] and https://eips.ethereum.org/EIPS/eip-712[EIP 712]\n * specifications.\n */\nlibrary MessageHashUtils {\n    /**\n     * @dev Returns the keccak256 digest of an ERC-191 signed data with version\n     * `0x45` (`personal_sign` messages).\n     *\n     * The digest is calculated by prefixing a bytes32 `messageHash` with\n     * `\"\\x19Ethereum Signed Message:\\n32\"` and hashing the result. It corresponds with the\n     * hash signed when using the https://eth.wiki/json-rpc/API#eth_sign[`eth_sign`] JSON-RPC method.\n     *\n     * NOTE: The `messageHash` parameter is intended to be the result of hashing a raw message with\n     * keccak256, although any bytes32 value can be safely used because the final digest will\n     * be re-hashed.\n     *\n     * See {ECDSA-recover}.\n     */\n    function toEthSignedMessageHash(bytes32 messageHash) internal pure returns (bytes32 digest) {\n        assembly (\"memory-safe\") {\n            mstore(0x00, \"\\x19Ethereum Signed Message:\\n32\") // 32 is the bytes-length of messageHash\n            mstore(0x1c, messageHash) // 0x1c (28) is the length of the prefix\n            digest := keccak256(0x00, 0x3c) // 0x3c is the length of the prefix (0x1c) + messageHash (0x20)\n        }\n    }\n\n    /**\n     * @dev Returns the keccak256 digest of an ERC-191 signed data with version\n     * `0x45` (`personal_sign` messages).\n     *\n     * The digest is calculated by prefixing an arbitrary `message` with\n     * `\"\\x19Ethereum Signed Message:\\n\" + len(message)` and hashing the result. It corresponds with the\n     * hash signed when using the https://eth.wiki/json-rpc/API#eth_sign[`eth_sign`] JSON-RPC method.\n     *\n     * See {ECDSA-recover}.\n     */\n    function toEthSignedMessageHash(bytes memory message) internal pure returns (bytes32) {\n        return\n            keccak256(bytes.concat(\"\\x19Ethereum Signed Message:\\n\", bytes(Strings.toString(message.length)), message));\n    }\n\n    /**\n     * @dev Returns the keccak256 digest of an ERC-191 signed data with version\n     * `0x00` (data with intended validator).\n     *\n     * The digest is calculated by prefixing an arbitrary `data` with `\"\\x19\\x00\"` and the intended\n     * `validator` address. Then hashing the result.\n     *\n     * See {ECDSA-recover}.\n     */\n    function toDataWithIntendedValidatorHash(address validator, bytes memory data) internal pure returns (bytes32) {\n        return keccak256(abi.encodePacked(hex\"19_00\", validator, data));\n    }\n\n    /**\n     * @dev Returns the keccak256 digest of an EIP-712 typed data (ERC-191 version `0x01`).\n     *\n     * The digest is calculated from a `domainSeparator` and a `structHash`, by prefixing them with\n     * `\\x19\\x01` and hashing the result. It corresponds to the hash signed by the\n     * https://eips.ethereum.org/EIPS/eip-712[`eth_signTypedData`] JSON-RPC method as part of EIP-712.\n     *\n     * See {ECDSA-recover}.\n     */\n    function toTypedDataHash(bytes32 domainSeparator, bytes32 structHash) internal pure returns (bytes32 digest) {\n        assembly (\"memory-safe\") {\n            let ptr := mload(0x40)\n            mstore(ptr, hex\"19_01\")\n            mstore(add(ptr, 0x02), domainSeparator)\n            mstore(add(ptr, 0x22), structHash)\n            digest := keccak256(ptr, 0x42)\n        }\n    }\n}\n"},{"file_path":"lib/openzeppelin-contracts/contracts/utils/math/Math.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.1.0) (utils/math/Math.sol)\n\npragma solidity ^0.8.20;\n\nimport {Panic} from \"../Panic.sol\";\nimport {SafeCast} from \"./SafeCast.sol\";\n\n/**\n * @dev Standard math utilities missing in the Solidity language.\n */\nlibrary Math {\n    enum Rounding {\n        Floor, // Toward negative infinity\n        Ceil, // Toward positive infinity\n        Trunc, // Toward zero\n        Expand // Away from zero\n    }\n\n    /**\n     * @dev Returns the addition of two unsigned integers, with an success flag (no overflow).\n     */\n    function tryAdd(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {\n        unchecked {\n            uint256 c = a + b;\n            if (c < a) return (false, 0);\n            return (true, c);\n        }\n    }\n\n    /**\n     * @dev Returns the subtraction of two unsigned integers, with an success flag (no overflow).\n     */\n    function trySub(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {\n        unchecked {\n            if (b > a) return (false, 0);\n            return (true, a - b);\n        }\n    }\n\n    /**\n     * @dev Returns the multiplication of two unsigned integers, with an success flag (no overflow).\n     */\n    function tryMul(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {\n        unchecked {\n            // Gas optimization: this is cheaper than requiring 'a' not being zero, but the\n            // benefit is lost if 'b' is also tested.\n            // See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522\n            if (a == 0) return (true, 0);\n            uint256 c = a * b;\n            if (c / a != b) return (false, 0);\n            return (true, c);\n        }\n    }\n\n    /**\n     * @dev Returns the division of two unsigned integers, with a success flag (no division by zero).\n     */\n    function tryDiv(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {\n        unchecked {\n            if (b == 0) return (false, 0);\n            return (true, a / b);\n        }\n    }\n\n    /**\n     * @dev Returns the remainder of dividing two unsigned integers, with a success flag (no division by zero).\n     */\n    function tryMod(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {\n        unchecked {\n            if (b == 0) return (false, 0);\n            return (true, a % b);\n        }\n    }\n\n    /**\n     * @dev Branchless ternary evaluation for `a ? b : c`. Gas costs are constant.\n     *\n     * IMPORTANT: This function may reduce bytecode size and consume less gas when used standalone.\n     * However, the compiler may optimize Solidity ternary operations (i.e. `a ? b : c`) to only compute\n     * one branch when needed, making this function more expensive.\n     */\n    function ternary(bool condition, uint256 a, uint256 b) internal pure returns (uint256) {\n        unchecked {\n            // branchless ternary works because:\n            // b ^ (a ^ b) == a\n            // b ^ 0 == b\n            return b ^ ((a ^ b) * SafeCast.toUint(condition));\n        }\n    }\n\n    /**\n     * @dev Returns the largest of two numbers.\n     */\n    function max(uint256 a, uint256 b) internal pure returns (uint256) {\n        return ternary(a > b, a, b);\n    }\n\n    /**\n     * @dev Returns the smallest of two numbers.\n     */\n    function min(uint256 a, uint256 b) internal pure returns (uint256) {\n        return ternary(a < b, a, b);\n    }\n\n    /**\n     * @dev Returns the average of two numbers. The result is rounded towards\n     * zero.\n     */\n    function average(uint256 a, uint256 b) internal pure returns (uint256) {\n        // (a + b) / 2 can overflow.\n        return (a & b) + (a ^ b) / 2;\n    }\n\n    /**\n     * @dev Returns the ceiling of the division of two numbers.\n     *\n     * This differs from standard division with `/` in that it rounds towards infinity instead\n     * of rounding towards zero.\n     */\n    function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) {\n        if (b == 0) {\n            // Guarantee the same behavior as in a regular Solidity division.\n            Panic.panic(Panic.DIVISION_BY_ZERO);\n        }\n\n        // The following calculation ensures accurate ceiling division without overflow.\n        // Since a is non-zero, (a - 1) / b will not overflow.\n        // The largest possible result occurs when (a - 1) / b is type(uint256).max,\n        // but the largest value we can obtain is type(uint256).max - 1, which happens\n        // when a = type(uint256).max and b = 1.\n        unchecked {\n            return SafeCast.toUint(a > 0) * ((a - 1) / b + 1);\n        }\n    }\n\n    /**\n     * @dev Calculates floor(x * y / denominator) with full precision. Throws if result overflows a uint256 or\n     * denominator == 0.\n     *\n     * Original credit to Remco Bloemen under MIT license (https://xn--2-umb.com/21/muldiv) with further edits by\n     * Uniswap Labs also under MIT license.\n     */\n    function mulDiv(uint256 x, uint256 y, uint256 denominator) internal pure returns (uint256 result) {\n        unchecked {\n            // 512-bit multiply [prod1 prod0] = x * y. Compute the product mod 2²⁵⁶ and mod 2²⁵⁶ - 1, then use\n            // the Chinese Remainder Theorem to reconstruct the 512 bit result. The result is stored in two 256\n            // variables such that product = prod1 * 2²⁵⁶ + prod0.\n            uint256 prod0 = x * y; // Least significant 256 bits of the product\n            uint256 prod1; // Most significant 256 bits of the product\n            assembly {\n                let mm := mulmod(x, y, not(0))\n                prod1 := sub(sub(mm, prod0), lt(mm, prod0))\n            }\n\n            // Handle non-overflow cases, 256 by 256 division.\n            if (prod1 == 0) {\n                // Solidity will revert if denominator == 0, unlike the div opcode on its own.\n                // The surrounding unchecked block does not change this fact.\n                // See https://docs.soliditylang.org/en/latest/control-structures.html#checked-or-unchecked-arithmetic.\n                return prod0 / denominator;\n            }\n\n            // Make sure the result is less than 2²⁵⁶. Also prevents denominator == 0.\n            if (denominator <= prod1) {\n                Panic.panic(ternary(denominator == 0, Panic.DIVISION_BY_ZERO, Panic.UNDER_OVERFLOW));\n            }\n\n            ///////////////////////////////////////////////\n            // 512 by 256 division.\n            ///////////////////////////////////////////////\n\n            // Make division exact by subtracting the remainder from [prod1 prod0].\n            uint256 remainder;\n            assembly {\n                // Compute remainder using mulmod.\n                remainder := mulmod(x, y, denominator)\n\n                // Subtract 256 bit number from 512 bit number.\n                prod1 := sub(prod1, gt(remainder, prod0))\n                prod0 := sub(prod0, remainder)\n            }\n\n            // Factor powers of two out of denominator and compute largest power of two divisor of denominator.\n            // Always >= 1. See https://cs.stackexchange.com/q/138556/92363.\n\n            uint256 twos = denominator & (0 - denominator);\n            assembly {\n                // Divide denominator by twos.\n                denominator := div(denominator, twos)\n\n                // Divide [prod1 prod0] by twos.\n                prod0 := div(prod0, twos)\n\n                // Flip twos such that it is 2²⁵⁶ / twos. If twos is zero, then it becomes one.\n                twos := add(div(sub(0, twos), twos), 1)\n            }\n\n            // Shift in bits from prod1 into prod0.\n            prod0 |= prod1 * twos;\n\n            // Invert denominator mod 2²⁵⁶. Now that denominator is an odd number, it has an inverse modulo 2²⁵⁶ such\n            // that denominator * inv ≡ 1 mod 2²⁵⁶. Compute the inverse by starting with a seed that is correct for\n            // four bits. That is, denominator * inv ≡ 1 mod 2⁴.\n            uint256 inverse = (3 * denominator) ^ 2;\n\n            // Use the Newton-Raphson iteration to improve the precision. Thanks to Hensel's lifting lemma, this also\n            // works in modular arithmetic, doubling the correct bits in each step.\n            inverse *= 2 - denominator * inverse; // inverse mod 2⁸\n            inverse *= 2 - denominator * inverse; // inverse mod 2¹⁶\n            inverse *= 2 - denominator * inverse; // inverse mod 2³²\n            inverse *= 2 - denominator * inverse; // inverse mod 2⁶⁴\n            inverse *= 2 - denominator * inverse; // inverse mod 2¹²⁸\n            inverse *= 2 - denominator * inverse; // inverse mod 2²⁵⁶\n\n            // Because the division is now exact we can divide by multiplying with the modular inverse of denominator.\n            // This will give us the correct result modulo 2²⁵⁶. Since the preconditions guarantee that the outcome is\n            // less than 2²⁵⁶, this is the final result. We don't need to compute the high bits of the result and prod1\n            // is no longer required.\n            result = prod0 * inverse;\n            return result;\n        }\n    }\n\n    /**\n     * @dev Calculates x * y / denominator with full precision, following the selected rounding direction.\n     */\n    function mulDiv(uint256 x, uint256 y, uint256 denominator, Rounding rounding) internal pure returns (uint256) {\n        return mulDiv(x, y, denominator) + SafeCast.toUint(unsignedRoundsUp(rounding) && mulmod(x, y, denominator) > 0);\n    }\n\n    /**\n     * @dev Calculate the modular multiplicative inverse of a number in Z/nZ.\n     *\n     * If n is a prime, then Z/nZ is a field. In that case all elements are inversible, except 0.\n     * If n is not a prime, then Z/nZ is not a field, and some elements might not be inversible.\n     *\n     * If the input value is not inversible, 0 is returned.\n     *\n     * 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\n     * inverse using `Math.modExp(a, n - 2, n)`. See {invModPrime}.\n     */\n    function invMod(uint256 a, uint256 n) internal pure returns (uint256) {\n        unchecked {\n            if (n == 0) return 0;\n\n            // The inverse modulo is calculated using the Extended Euclidean Algorithm (iterative version)\n            // Used to compute integers x and y such that: ax + ny = gcd(a, n).\n            // When the gcd is 1, then the inverse of a modulo n exists and it's x.\n            // ax + ny = 1\n            // ax = 1 + (-y)n\n            // ax ≡ 1 (mod n) # x is the inverse of a modulo n\n\n            // If the remainder is 0 the gcd is n right away.\n            uint256 remainder = a % n;\n            uint256 gcd = n;\n\n            // Therefore the initial coefficients are:\n            // ax + ny = gcd(a, n) = n\n            // 0a + 1n = n\n            int256 x = 0;\n            int256 y = 1;\n\n            while (remainder != 0) {\n                uint256 quotient = gcd / remainder;\n\n                (gcd, remainder) = (\n                    // The old remainder is the next gcd to try.\n                    remainder,\n                    // Compute the next remainder.\n                    // Can't overflow given that (a % gcd) * (gcd // (a % gcd)) <= gcd\n                    // where gcd is at most n (capped to type(uint256).max)\n                    gcd - remainder * quotient\n                );\n\n                (x, y) = (\n                    // Increment the coefficient of a.\n                    y,\n                    // Decrement the coefficient of n.\n                    // Can overflow, but the result is casted to uint256 so that the\n                    // next value of y is \"wrapped around\" to a value between 0 and n - 1.\n                    x - y * int256(quotient)\n                );\n            }\n\n            if (gcd != 1) return 0; // No inverse exists.\n            return ternary(x < 0, n - uint256(-x), uint256(x)); // Wrap the result if it's negative.\n        }\n    }\n\n    /**\n     * @dev Variant of {invMod}. More efficient, but only works if `p` is known to be a prime greater than `2`.\n     *\n     * From https://en.wikipedia.org/wiki/Fermat%27s_little_theorem[Fermat's little theorem], we know that if p is\n     * prime, then `a**(p-1) ≡ 1 mod p`. As a consequence, we have `a * a**(p-2) ≡ 1 mod p`, which means that\n     * `a**(p-2)` is the modular multiplicative inverse of a in Fp.\n     *\n     * NOTE: this function does NOT check that `p` is a prime greater than `2`.\n     */\n    function invModPrime(uint256 a, uint256 p) internal view returns (uint256) {\n        unchecked {\n            return Math.modExp(a, p - 2, p);\n        }\n    }\n\n    /**\n     * @dev Returns the modular exponentiation of the specified base, exponent and modulus (b ** e % m)\n     *\n     * Requirements:\n     * - modulus can't be zero\n     * - underlying staticcall to precompile must succeed\n     *\n     * IMPORTANT: The result is only valid if the underlying call succeeds. When using this function, make\n     * sure the chain you're using it on supports the precompiled contract for modular exponentiation\n     * at address 0x05 as specified in https://eips.ethereum.org/EIPS/eip-198[EIP-198]. Otherwise,\n     * the underlying function will succeed given the lack of a revert, but the result may be incorrectly\n     * interpreted as 0.\n     */\n    function modExp(uint256 b, uint256 e, uint256 m) internal view returns (uint256) {\n        (bool success, uint256 result) = tryModExp(b, e, m);\n        if (!success) {\n            Panic.panic(Panic.DIVISION_BY_ZERO);\n        }\n        return result;\n    }\n\n    /**\n     * @dev Returns the modular exponentiation of the specified base, exponent and modulus (b ** e % m).\n     * It includes a success flag indicating if the operation succeeded. Operation will be marked as failed if trying\n     * to operate modulo 0 or if the underlying precompile reverted.\n     *\n     * IMPORTANT: The result is only valid if the success flag is true. When using this function, make sure the chain\n     * you're using it on supports the precompiled contract for modular exponentiation at address 0x05 as specified in\n     * https://eips.ethereum.org/EIPS/eip-198[EIP-198]. Otherwise, the underlying function will succeed given the lack\n     * of a revert, but the result may be incorrectly interpreted as 0.\n     */\n    function tryModExp(uint256 b, uint256 e, uint256 m) internal view returns (bool success, uint256 result) {\n        if (m == 0) return (false, 0);\n        assembly (\"memory-safe\") {\n            let ptr := mload(0x40)\n            // | Offset    | Content    | Content (Hex)                                                      |\n            // |-----------|------------|--------------------------------------------------------------------|\n            // | 0x00:0x1f | size of b  | 0x0000000000000000000000000000000000000000000000000000000000000020 |\n            // | 0x20:0x3f | size of e  | 0x0000000000000000000000000000000000000000000000000000000000000020 |\n            // | 0x40:0x5f | size of m  | 0x0000000000000000000000000000000000000000000000000000000000000020 |\n            // | 0x60:0x7f | value of b | 0x<.............................................................b> |\n            // | 0x80:0x9f | value of e | 0x<.............................................................e> |\n            // | 0xa0:0xbf | value of m | 0x<.............................................................m> |\n            mstore(ptr, 0x20)\n            mstore(add(ptr, 0x20), 0x20)\n            mstore(add(ptr, 0x40), 0x20)\n            mstore(add(ptr, 0x60), b)\n            mstore(add(ptr, 0x80), e)\n            mstore(add(ptr, 0xa0), m)\n\n            // Given the result < m, it's guaranteed to fit in 32 bytes,\n            // so we can use the memory scratch space located at offset 0.\n            success := staticcall(gas(), 0x05, ptr, 0xc0, 0x00, 0x20)\n            result := mload(0x00)\n        }\n    }\n\n    /**\n     * @dev Variant of {modExp} that supports inputs of arbitrary length.\n     */\n    function modExp(bytes memory b, bytes memory e, bytes memory m) internal view returns (bytes memory) {\n        (bool success, bytes memory result) = tryModExp(b, e, m);\n        if (!success) {\n            Panic.panic(Panic.DIVISION_BY_ZERO);\n        }\n        return result;\n    }\n\n    /**\n     * @dev Variant of {tryModExp} that supports inputs of arbitrary length.\n     */\n    function tryModExp(\n        bytes memory b,\n        bytes memory e,\n        bytes memory m\n    ) internal view returns (bool success, bytes memory result) {\n        if (_zeroBytes(m)) return (false, new bytes(0));\n\n        uint256 mLen = m.length;\n\n        // Encode call args in result and move the free memory pointer\n        result = abi.encodePacked(b.length, e.length, mLen, b, e, m);\n\n        assembly (\"memory-safe\") {\n            let dataPtr := add(result, 0x20)\n            // Write result on top of args to avoid allocating extra memory.\n            success := staticcall(gas(), 0x05, dataPtr, mload(result), dataPtr, mLen)\n            // Overwrite the length.\n            // result.length > returndatasize() is guaranteed because returndatasize() == m.length\n            mstore(result, mLen)\n            // Set the memory pointer after the returned data.\n            mstore(0x40, add(dataPtr, mLen))\n        }\n    }\n\n    /**\n     * @dev Returns whether the provided byte array is zero.\n     */\n    function _zeroBytes(bytes memory byteArray) private pure returns (bool) {\n        for (uint256 i = 0; i < byteArray.length; ++i) {\n            if (byteArray[i] != 0) {\n                return false;\n            }\n        }\n        return true;\n    }\n\n    /**\n     * @dev Returns the square root of a number. If the number is not a perfect square, the value is rounded\n     * towards zero.\n     *\n     * This method is based on Newton's method for computing square roots; the algorithm is restricted to only\n     * using integer operations.\n     */\n    function sqrt(uint256 a) internal pure returns (uint256) {\n        unchecked {\n            // Take care of easy edge cases when a == 0 or a == 1\n            if (a <= 1) {\n                return a;\n            }\n\n            // In this function, we use Newton's method to get a root of `f(x) := x² - a`. It involves building a\n            // sequence x_n that converges toward sqrt(a). For each iteration x_n, we also define the error between\n            // the current value as `ε_n = | x_n - sqrt(a) |`.\n            //\n            // For our first estimation, we consider `e` the smallest power of 2 which is bigger than the square root\n            // of the target. (i.e. `2**(e-1) ≤ sqrt(a) < 2**e`). We know that `e ≤ 128` because `(2¹²⁸)² = 2²⁵⁶` is\n            // bigger than any uint256.\n            //\n            // By noticing that\n            // `2**(e-1) ≤ sqrt(a) < 2**e → (2**(e-1))² ≤ a < (2**e)² → 2**(2*e-2) ≤ a < 2**(2*e)`\n            // we can deduce that `e - 1` is `log2(a) / 2`. We can thus compute `x_n = 2**(e-1)` using a method similar\n            // to the msb function.\n            uint256 aa = a;\n            uint256 xn = 1;\n\n            if (aa >= (1 << 128)) {\n                aa >>= 128;\n                xn <<= 64;\n            }\n            if (aa >= (1 << 64)) {\n                aa >>= 64;\n                xn <<= 32;\n            }\n            if (aa >= (1 << 32)) {\n                aa >>= 32;\n                xn <<= 16;\n            }\n            if (aa >= (1 << 16)) {\n                aa >>= 16;\n                xn <<= 8;\n            }\n            if (aa >= (1 << 8)) {\n                aa >>= 8;\n                xn <<= 4;\n            }\n            if (aa >= (1 << 4)) {\n                aa >>= 4;\n                xn <<= 2;\n            }\n            if (aa >= (1 << 2)) {\n                xn <<= 1;\n            }\n\n            // 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).\n            //\n            // We can refine our estimation by noticing that the middle of that interval minimizes the error.\n            // If we move x_n to equal 2**(e-1) + 2**(e-2), then we reduce the error to ε_n ≤ 2**(e-2).\n            // This is going to be our x_0 (and ε_0)\n            xn = (3 * xn) >> 1; // ε_0 := | x_0 - sqrt(a) | ≤ 2**(e-2)\n\n            // From here, Newton's method give us:\n            // x_{n+1} = (x_n + a / x_n) / 2\n            //\n            // One should note that:\n            // x_{n+1}² - a = ((x_n + a / x_n) / 2)² - a\n            //              = ((x_n² + a) / (2 * x_n))² - a\n            //              = (x_n⁴ + 2 * a * x_n² + a²) / (4 * x_n²) - a\n            //              = (x_n⁴ + 2 * a * x_n² + a² - 4 * a * x_n²) / (4 * x_n²)\n            //              = (x_n⁴ - 2 * a * x_n² + a²) / (4 * x_n²)\n            //              = (x_n² - a)² / (2 * x_n)²\n            //              = ((x_n² - a) / (2 * x_n))²\n            //              ≥ 0\n            // Which proves that for all n ≥ 1, sqrt(a) ≤ x_n\n            //\n            // This gives us the proof of quadratic convergence of the sequence:\n            // ε_{n+1} = | x_{n+1} - sqrt(a) |\n            //         = | (x_n + a / x_n) / 2 - sqrt(a) |\n            //         = | (x_n² + a - 2*x_n*sqrt(a)) / (2 * x_n) |\n            //         = | (x_n - sqrt(a))² / (2 * x_n) |\n            //         = | ε_n² / (2 * x_n) |\n            //         = ε_n² / | (2 * x_n) |\n            //\n            // For the first iteration, we have a special case where x_0 is known:\n            // ε_1 = ε_0² / | (2 * x_0) |\n            //     ≤ (2**(e-2))² / (2 * (2**(e-1) + 2**(e-2)))\n            //     ≤ 2**(2*e-4) / (3 * 2**(e-1))\n            //     ≤ 2**(e-3) / 3\n            //     ≤ 2**(e-3-log2(3))\n            //     ≤ 2**(e-4.5)\n            //\n            // For the following iterations, we use the fact that, 2**(e-1) ≤ sqrt(a) ≤ x_n:\n            // ε_{n+1} = ε_n² / | (2 * x_n) |\n            //         ≤ (2**(e-k))² / (2 * 2**(e-1))\n            //         ≤ 2**(2*e-2*k) / 2**e\n            //         ≤ 2**(e-2*k)\n            xn = (xn + a / xn) >> 1; // ε_1 := | x_1 - sqrt(a) | ≤ 2**(e-4.5)  -- special case, see above\n            xn = (xn + a / xn) >> 1; // ε_2 := | x_2 - sqrt(a) | ≤ 2**(e-9)    -- general case with k = 4.5\n            xn = (xn + a / xn) >> 1; // ε_3 := | x_3 - sqrt(a) | ≤ 2**(e-18)   -- general case with k = 9\n            xn = (xn + a / xn) >> 1; // ε_4 := | x_4 - sqrt(a) | ≤ 2**(e-36)   -- general case with k = 18\n            xn = (xn + a / xn) >> 1; // ε_5 := | x_5 - sqrt(a) | ≤ 2**(e-72)   -- general case with k = 36\n            xn = (xn + a / xn) >> 1; // ε_6 := | x_6 - sqrt(a) | ≤ 2**(e-144)  -- general case with k = 72\n\n            // Because e ≤ 128 (as discussed during the first estimation phase), we know have reached a precision\n            // ε_6 ≤ 2**(e-144) < 1. Given we're operating on integers, then we can ensure that xn is now either\n            // sqrt(a) or sqrt(a) + 1.\n            return xn - SafeCast.toUint(xn > a / xn);\n        }\n    }\n\n    /**\n     * @dev Calculates sqrt(a), following the selected rounding direction.\n     */\n    function sqrt(uint256 a, Rounding rounding) internal pure returns (uint256) {\n        unchecked {\n            uint256 result = sqrt(a);\n            return result + SafeCast.toUint(unsignedRoundsUp(rounding) && result * result < a);\n        }\n    }\n\n    /**\n     * @dev Return the log in base 2 of a positive value rounded towards zero.\n     * Returns 0 if given 0.\n     */\n    function log2(uint256 value) internal pure returns (uint256) {\n        uint256 result = 0;\n        uint256 exp;\n        unchecked {\n            exp = 128 * SafeCast.toUint(value > (1 << 128) - 1);\n            value >>= exp;\n            result += exp;\n\n            exp = 64 * SafeCast.toUint(value > (1 << 64) - 1);\n            value >>= exp;\n            result += exp;\n\n            exp = 32 * SafeCast.toUint(value > (1 << 32) - 1);\n            value >>= exp;\n            result += exp;\n\n            exp = 16 * SafeCast.toUint(value > (1 << 16) - 1);\n            value >>= exp;\n            result += exp;\n\n            exp = 8 * SafeCast.toUint(value > (1 << 8) - 1);\n            value >>= exp;\n            result += exp;\n\n            exp = 4 * SafeCast.toUint(value > (1 << 4) - 1);\n            value >>= exp;\n            result += exp;\n\n            exp = 2 * SafeCast.toUint(value > (1 << 2) - 1);\n            value >>= exp;\n            result += exp;\n\n            result += SafeCast.toUint(value > 1);\n        }\n        return result;\n    }\n\n    /**\n     * @dev Return the log in base 2, following the selected rounding direction, of a positive value.\n     * Returns 0 if given 0.\n     */\n    function log2(uint256 value, Rounding rounding) internal pure returns (uint256) {\n        unchecked {\n            uint256 result = log2(value);\n            return result + SafeCast.toUint(unsignedRoundsUp(rounding) && 1 << result < value);\n        }\n    }\n\n    /**\n     * @dev Return the log in base 10 of a positive value rounded towards zero.\n     * Returns 0 if given 0.\n     */\n    function log10(uint256 value) internal pure returns (uint256) {\n        uint256 result = 0;\n        unchecked {\n            if (value >= 10 ** 64) {\n                value /= 10 ** 64;\n                result += 64;\n            }\n            if (value >= 10 ** 32) {\n                value /= 10 ** 32;\n                result += 32;\n            }\n            if (value >= 10 ** 16) {\n                value /= 10 ** 16;\n                result += 16;\n            }\n            if (value >= 10 ** 8) {\n                value /= 10 ** 8;\n                result += 8;\n            }\n            if (value >= 10 ** 4) {\n                value /= 10 ** 4;\n                result += 4;\n            }\n            if (value >= 10 ** 2) {\n                value /= 10 ** 2;\n                result += 2;\n            }\n            if (value >= 10 ** 1) {\n                result += 1;\n            }\n        }\n        return result;\n    }\n\n    /**\n     * @dev Return the log in base 10, following the selected rounding direction, of a positive value.\n     * Returns 0 if given 0.\n     */\n    function log10(uint256 value, Rounding rounding) internal pure returns (uint256) {\n        unchecked {\n            uint256 result = log10(value);\n            return result + SafeCast.toUint(unsignedRoundsUp(rounding) && 10 ** result < value);\n        }\n    }\n\n    /**\n     * @dev Return the log in base 256 of a positive value rounded towards zero.\n     * Returns 0 if given 0.\n     *\n     * Adding one to the result gives the number of pairs of hex symbols needed to represent `value` as a hex string.\n     */\n    function log256(uint256 value) internal pure returns (uint256) {\n        uint256 result = 0;\n        uint256 isGt;\n        unchecked {\n            isGt = SafeCast.toUint(value > (1 << 128) - 1);\n            value >>= isGt * 128;\n            result += isGt * 16;\n\n            isGt = SafeCast.toUint(value > (1 << 64) - 1);\n            value >>= isGt * 64;\n            result += isGt * 8;\n\n            isGt = SafeCast.toUint(value > (1 << 32) - 1);\n            value >>= isGt * 32;\n            result += isGt * 4;\n\n            isGt = SafeCast.toUint(value > (1 << 16) - 1);\n            value >>= isGt * 16;\n            result += isGt * 2;\n\n            result += SafeCast.toUint(value > (1 << 8) - 1);\n        }\n        return result;\n    }\n\n    /**\n     * @dev Return the log in base 256, following the selected rounding direction, of a positive value.\n     * Returns 0 if given 0.\n     */\n    function log256(uint256 value, Rounding rounding) internal pure returns (uint256) {\n        unchecked {\n            uint256 result = log256(value);\n            return result + SafeCast.toUint(unsignedRoundsUp(rounding) && 1 << (result << 3) < value);\n        }\n    }\n\n    /**\n     * @dev Returns whether a provided rounding mode is considered rounding up for unsigned integers.\n     */\n    function unsignedRoundsUp(Rounding rounding) internal pure returns (bool) {\n        return uint8(rounding) % 2 == 1;\n    }\n}\n"},{"file_path":"lib/openzeppelin-contracts/contracts/utils/math/SafeCast.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.1.0) (utils/math/SafeCast.sol)\n// This file was procedurally generated from scripts/generate/templates/SafeCast.js.\n\npragma solidity ^0.8.20;\n\n/**\n * @dev Wrappers over Solidity's uintXX/intXX/bool casting operators with added overflow\n * checks.\n *\n * Downcasting from uint256/int256 in Solidity does not revert on overflow. This can\n * easily result in undesired exploitation or bugs, since developers usually\n * assume that overflows raise errors. `SafeCast` restores this intuition by\n * reverting the transaction when such an operation overflows.\n *\n * Using this library instead of the unchecked operations eliminates an entire\n * class of bugs, so it's recommended to use it always.\n */\nlibrary SafeCast {\n    /**\n     * @dev Value doesn't fit in an uint of `bits` size.\n     */\n    error SafeCastOverflowedUintDowncast(uint8 bits, uint256 value);\n\n    /**\n     * @dev An int value doesn't fit in an uint of `bits` size.\n     */\n    error SafeCastOverflowedIntToUint(int256 value);\n\n    /**\n     * @dev Value doesn't fit in an int of `bits` size.\n     */\n    error SafeCastOverflowedIntDowncast(uint8 bits, int256 value);\n\n    /**\n     * @dev An uint value doesn't fit in an int of `bits` size.\n     */\n    error SafeCastOverflowedUintToInt(uint256 value);\n\n    /**\n     * @dev Returns the downcasted uint248 from uint256, reverting on\n     * overflow (when the input is greater than largest uint248).\n     *\n     * Counterpart to Solidity's `uint248` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 248 bits\n     */\n    function toUint248(uint256 value) internal pure returns (uint248) {\n        if (value > type(uint248).max) {\n            revert SafeCastOverflowedUintDowncast(248, value);\n        }\n        return uint248(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint240 from uint256, reverting on\n     * overflow (when the input is greater than largest uint240).\n     *\n     * Counterpart to Solidity's `uint240` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 240 bits\n     */\n    function toUint240(uint256 value) internal pure returns (uint240) {\n        if (value > type(uint240).max) {\n            revert SafeCastOverflowedUintDowncast(240, value);\n        }\n        return uint240(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint232 from uint256, reverting on\n     * overflow (when the input is greater than largest uint232).\n     *\n     * Counterpart to Solidity's `uint232` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 232 bits\n     */\n    function toUint232(uint256 value) internal pure returns (uint232) {\n        if (value > type(uint232).max) {\n            revert SafeCastOverflowedUintDowncast(232, value);\n        }\n        return uint232(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint224 from uint256, reverting on\n     * overflow (when the input is greater than largest uint224).\n     *\n     * Counterpart to Solidity's `uint224` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 224 bits\n     */\n    function toUint224(uint256 value) internal pure returns (uint224) {\n        if (value > type(uint224).max) {\n            revert SafeCastOverflowedUintDowncast(224, value);\n        }\n        return uint224(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint216 from uint256, reverting on\n     * overflow (when the input is greater than largest uint216).\n     *\n     * Counterpart to Solidity's `uint216` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 216 bits\n     */\n    function toUint216(uint256 value) internal pure returns (uint216) {\n        if (value > type(uint216).max) {\n            revert SafeCastOverflowedUintDowncast(216, value);\n        }\n        return uint216(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint208 from uint256, reverting on\n     * overflow (when the input is greater than largest uint208).\n     *\n     * Counterpart to Solidity's `uint208` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 208 bits\n     */\n    function toUint208(uint256 value) internal pure returns (uint208) {\n        if (value > type(uint208).max) {\n            revert SafeCastOverflowedUintDowncast(208, value);\n        }\n        return uint208(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint200 from uint256, reverting on\n     * overflow (when the input is greater than largest uint200).\n     *\n     * Counterpart to Solidity's `uint200` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 200 bits\n     */\n    function toUint200(uint256 value) internal pure returns (uint200) {\n        if (value > type(uint200).max) {\n            revert SafeCastOverflowedUintDowncast(200, value);\n        }\n        return uint200(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint192 from uint256, reverting on\n     * overflow (when the input is greater than largest uint192).\n     *\n     * Counterpart to Solidity's `uint192` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 192 bits\n     */\n    function toUint192(uint256 value) internal pure returns (uint192) {\n        if (value > type(uint192).max) {\n            revert SafeCastOverflowedUintDowncast(192, value);\n        }\n        return uint192(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint184 from uint256, reverting on\n     * overflow (when the input is greater than largest uint184).\n     *\n     * Counterpart to Solidity's `uint184` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 184 bits\n     */\n    function toUint184(uint256 value) internal pure returns (uint184) {\n        if (value > type(uint184).max) {\n            revert SafeCastOverflowedUintDowncast(184, value);\n        }\n        return uint184(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint176 from uint256, reverting on\n     * overflow (when the input is greater than largest uint176).\n     *\n     * Counterpart to Solidity's `uint176` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 176 bits\n     */\n    function toUint176(uint256 value) internal pure returns (uint176) {\n        if (value > type(uint176).max) {\n            revert SafeCastOverflowedUintDowncast(176, value);\n        }\n        return uint176(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint168 from uint256, reverting on\n     * overflow (when the input is greater than largest uint168).\n     *\n     * Counterpart to Solidity's `uint168` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 168 bits\n     */\n    function toUint168(uint256 value) internal pure returns (uint168) {\n        if (value > type(uint168).max) {\n            revert SafeCastOverflowedUintDowncast(168, value);\n        }\n        return uint168(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint160 from uint256, reverting on\n     * overflow (when the input is greater than largest uint160).\n     *\n     * Counterpart to Solidity's `uint160` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 160 bits\n     */\n    function toUint160(uint256 value) internal pure returns (uint160) {\n        if (value > type(uint160).max) {\n            revert SafeCastOverflowedUintDowncast(160, value);\n        }\n        return uint160(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint152 from uint256, reverting on\n     * overflow (when the input is greater than largest uint152).\n     *\n     * Counterpart to Solidity's `uint152` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 152 bits\n     */\n    function toUint152(uint256 value) internal pure returns (uint152) {\n        if (value > type(uint152).max) {\n            revert SafeCastOverflowedUintDowncast(152, value);\n        }\n        return uint152(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint144 from uint256, reverting on\n     * overflow (when the input is greater than largest uint144).\n     *\n     * Counterpart to Solidity's `uint144` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 144 bits\n     */\n    function toUint144(uint256 value) internal pure returns (uint144) {\n        if (value > type(uint144).max) {\n            revert SafeCastOverflowedUintDowncast(144, value);\n        }\n        return uint144(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint136 from uint256, reverting on\n     * overflow (when the input is greater than largest uint136).\n     *\n     * Counterpart to Solidity's `uint136` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 136 bits\n     */\n    function toUint136(uint256 value) internal pure returns (uint136) {\n        if (value > type(uint136).max) {\n            revert SafeCastOverflowedUintDowncast(136, value);\n        }\n        return uint136(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint128 from uint256, reverting on\n     * overflow (when the input is greater than largest uint128).\n     *\n     * Counterpart to Solidity's `uint128` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 128 bits\n     */\n    function toUint128(uint256 value) internal pure returns (uint128) {\n        if (value > type(uint128).max) {\n            revert SafeCastOverflowedUintDowncast(128, value);\n        }\n        return uint128(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint120 from uint256, reverting on\n     * overflow (when the input is greater than largest uint120).\n     *\n     * Counterpart to Solidity's `uint120` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 120 bits\n     */\n    function toUint120(uint256 value) internal pure returns (uint120) {\n        if (value > type(uint120).max) {\n            revert SafeCastOverflowedUintDowncast(120, value);\n        }\n        return uint120(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint112 from uint256, reverting on\n     * overflow (when the input is greater than largest uint112).\n     *\n     * Counterpart to Solidity's `uint112` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 112 bits\n     */\n    function toUint112(uint256 value) internal pure returns (uint112) {\n        if (value > type(uint112).max) {\n            revert SafeCastOverflowedUintDowncast(112, value);\n        }\n        return uint112(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint104 from uint256, reverting on\n     * overflow (when the input is greater than largest uint104).\n     *\n     * Counterpart to Solidity's `uint104` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 104 bits\n     */\n    function toUint104(uint256 value) internal pure returns (uint104) {\n        if (value > type(uint104).max) {\n            revert SafeCastOverflowedUintDowncast(104, value);\n        }\n        return uint104(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint96 from uint256, reverting on\n     * overflow (when the input is greater than largest uint96).\n     *\n     * Counterpart to Solidity's `uint96` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 96 bits\n     */\n    function toUint96(uint256 value) internal pure returns (uint96) {\n        if (value > type(uint96).max) {\n            revert SafeCastOverflowedUintDowncast(96, value);\n        }\n        return uint96(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint88 from uint256, reverting on\n     * overflow (when the input is greater than largest uint88).\n     *\n     * Counterpart to Solidity's `uint88` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 88 bits\n     */\n    function toUint88(uint256 value) internal pure returns (uint88) {\n        if (value > type(uint88).max) {\n            revert SafeCastOverflowedUintDowncast(88, value);\n        }\n        return uint88(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint80 from uint256, reverting on\n     * overflow (when the input is greater than largest uint80).\n     *\n     * Counterpart to Solidity's `uint80` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 80 bits\n     */\n    function toUint80(uint256 value) internal pure returns (uint80) {\n        if (value > type(uint80).max) {\n            revert SafeCastOverflowedUintDowncast(80, value);\n        }\n        return uint80(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint72 from uint256, reverting on\n     * overflow (when the input is greater than largest uint72).\n     *\n     * Counterpart to Solidity's `uint72` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 72 bits\n     */\n    function toUint72(uint256 value) internal pure returns (uint72) {\n        if (value > type(uint72).max) {\n            revert SafeCastOverflowedUintDowncast(72, value);\n        }\n        return uint72(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint64 from uint256, reverting on\n     * overflow (when the input is greater than largest uint64).\n     *\n     * Counterpart to Solidity's `uint64` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 64 bits\n     */\n    function toUint64(uint256 value) internal pure returns (uint64) {\n        if (value > type(uint64).max) {\n            revert SafeCastOverflowedUintDowncast(64, value);\n        }\n        return uint64(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint56 from uint256, reverting on\n     * overflow (when the input is greater than largest uint56).\n     *\n     * Counterpart to Solidity's `uint56` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 56 bits\n     */\n    function toUint56(uint256 value) internal pure returns (uint56) {\n        if (value > type(uint56).max) {\n            revert SafeCastOverflowedUintDowncast(56, value);\n        }\n        return uint56(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint48 from uint256, reverting on\n     * overflow (when the input is greater than largest uint48).\n     *\n     * Counterpart to Solidity's `uint48` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 48 bits\n     */\n    function toUint48(uint256 value) internal pure returns (uint48) {\n        if (value > type(uint48).max) {\n            revert SafeCastOverflowedUintDowncast(48, value);\n        }\n        return uint48(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint40 from uint256, reverting on\n     * overflow (when the input is greater than largest uint40).\n     *\n     * Counterpart to Solidity's `uint40` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 40 bits\n     */\n    function toUint40(uint256 value) internal pure returns (uint40) {\n        if (value > type(uint40).max) {\n            revert SafeCastOverflowedUintDowncast(40, value);\n        }\n        return uint40(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint32 from uint256, reverting on\n     * overflow (when the input is greater than largest uint32).\n     *\n     * Counterpart to Solidity's `uint32` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 32 bits\n     */\n    function toUint32(uint256 value) internal pure returns (uint32) {\n        if (value > type(uint32).max) {\n            revert SafeCastOverflowedUintDowncast(32, value);\n        }\n        return uint32(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint24 from uint256, reverting on\n     * overflow (when the input is greater than largest uint24).\n     *\n     * Counterpart to Solidity's `uint24` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 24 bits\n     */\n    function toUint24(uint256 value) internal pure returns (uint24) {\n        if (value > type(uint24).max) {\n            revert SafeCastOverflowedUintDowncast(24, value);\n        }\n        return uint24(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint16 from uint256, reverting on\n     * overflow (when the input is greater than largest uint16).\n     *\n     * Counterpart to Solidity's `uint16` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 16 bits\n     */\n    function toUint16(uint256 value) internal pure returns (uint16) {\n        if (value > type(uint16).max) {\n            revert SafeCastOverflowedUintDowncast(16, value);\n        }\n        return uint16(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint8 from uint256, reverting on\n     * overflow (when the input is greater than largest uint8).\n     *\n     * Counterpart to Solidity's `uint8` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 8 bits\n     */\n    function toUint8(uint256 value) internal pure returns (uint8) {\n        if (value > type(uint8).max) {\n            revert SafeCastOverflowedUintDowncast(8, value);\n        }\n        return uint8(value);\n    }\n\n    /**\n     * @dev Converts a signed int256 into an unsigned uint256.\n     *\n     * Requirements:\n     *\n     * - input must be greater than or equal to 0.\n     */\n    function toUint256(int256 value) internal pure returns (uint256) {\n        if (value < 0) {\n            revert SafeCastOverflowedIntToUint(value);\n        }\n        return uint256(value);\n    }\n\n    /**\n     * @dev Returns the downcasted int248 from int256, reverting on\n     * overflow (when the input is less than smallest int248 or\n     * greater than largest int248).\n     *\n     * Counterpart to Solidity's `int248` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 248 bits\n     */\n    function toInt248(int256 value) internal pure returns (int248 downcasted) {\n        downcasted = int248(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(248, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int240 from int256, reverting on\n     * overflow (when the input is less than smallest int240 or\n     * greater than largest int240).\n     *\n     * Counterpart to Solidity's `int240` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 240 bits\n     */\n    function toInt240(int256 value) internal pure returns (int240 downcasted) {\n        downcasted = int240(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(240, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int232 from int256, reverting on\n     * overflow (when the input is less than smallest int232 or\n     * greater than largest int232).\n     *\n     * Counterpart to Solidity's `int232` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 232 bits\n     */\n    function toInt232(int256 value) internal pure returns (int232 downcasted) {\n        downcasted = int232(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(232, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int224 from int256, reverting on\n     * overflow (when the input is less than smallest int224 or\n     * greater than largest int224).\n     *\n     * Counterpart to Solidity's `int224` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 224 bits\n     */\n    function toInt224(int256 value) internal pure returns (int224 downcasted) {\n        downcasted = int224(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(224, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int216 from int256, reverting on\n     * overflow (when the input is less than smallest int216 or\n     * greater than largest int216).\n     *\n     * Counterpart to Solidity's `int216` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 216 bits\n     */\n    function toInt216(int256 value) internal pure returns (int216 downcasted) {\n        downcasted = int216(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(216, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int208 from int256, reverting on\n     * overflow (when the input is less than smallest int208 or\n     * greater than largest int208).\n     *\n     * Counterpart to Solidity's `int208` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 208 bits\n     */\n    function toInt208(int256 value) internal pure returns (int208 downcasted) {\n        downcasted = int208(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(208, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int200 from int256, reverting on\n     * overflow (when the input is less than smallest int200 or\n     * greater than largest int200).\n     *\n     * Counterpart to Solidity's `int200` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 200 bits\n     */\n    function toInt200(int256 value) internal pure returns (int200 downcasted) {\n        downcasted = int200(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(200, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int192 from int256, reverting on\n     * overflow (when the input is less than smallest int192 or\n     * greater than largest int192).\n     *\n     * Counterpart to Solidity's `int192` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 192 bits\n     */\n    function toInt192(int256 value) internal pure returns (int192 downcasted) {\n        downcasted = int192(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(192, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int184 from int256, reverting on\n     * overflow (when the input is less than smallest int184 or\n     * greater than largest int184).\n     *\n     * Counterpart to Solidity's `int184` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 184 bits\n     */\n    function toInt184(int256 value) internal pure returns (int184 downcasted) {\n        downcasted = int184(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(184, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int176 from int256, reverting on\n     * overflow (when the input is less than smallest int176 or\n     * greater than largest int176).\n     *\n     * Counterpart to Solidity's `int176` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 176 bits\n     */\n    function toInt176(int256 value) internal pure returns (int176 downcasted) {\n        downcasted = int176(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(176, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int168 from int256, reverting on\n     * overflow (when the input is less than smallest int168 or\n     * greater than largest int168).\n     *\n     * Counterpart to Solidity's `int168` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 168 bits\n     */\n    function toInt168(int256 value) internal pure returns (int168 downcasted) {\n        downcasted = int168(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(168, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int160 from int256, reverting on\n     * overflow (when the input is less than smallest int160 or\n     * greater than largest int160).\n     *\n     * Counterpart to Solidity's `int160` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 160 bits\n     */\n    function toInt160(int256 value) internal pure returns (int160 downcasted) {\n        downcasted = int160(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(160, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int152 from int256, reverting on\n     * overflow (when the input is less than smallest int152 or\n     * greater than largest int152).\n     *\n     * Counterpart to Solidity's `int152` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 152 bits\n     */\n    function toInt152(int256 value) internal pure returns (int152 downcasted) {\n        downcasted = int152(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(152, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int144 from int256, reverting on\n     * overflow (when the input is less than smallest int144 or\n     * greater than largest int144).\n     *\n     * Counterpart to Solidity's `int144` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 144 bits\n     */\n    function toInt144(int256 value) internal pure returns (int144 downcasted) {\n        downcasted = int144(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(144, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int136 from int256, reverting on\n     * overflow (when the input is less than smallest int136 or\n     * greater than largest int136).\n     *\n     * Counterpart to Solidity's `int136` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 136 bits\n     */\n    function toInt136(int256 value) internal pure returns (int136 downcasted) {\n        downcasted = int136(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(136, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int128 from int256, reverting on\n     * overflow (when the input is less than smallest int128 or\n     * greater than largest int128).\n     *\n     * Counterpart to Solidity's `int128` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 128 bits\n     */\n    function toInt128(int256 value) internal pure returns (int128 downcasted) {\n        downcasted = int128(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(128, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int120 from int256, reverting on\n     * overflow (when the input is less than smallest int120 or\n     * greater than largest int120).\n     *\n     * Counterpart to Solidity's `int120` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 120 bits\n     */\n    function toInt120(int256 value) internal pure returns (int120 downcasted) {\n        downcasted = int120(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(120, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int112 from int256, reverting on\n     * overflow (when the input is less than smallest int112 or\n     * greater than largest int112).\n     *\n     * Counterpart to Solidity's `int112` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 112 bits\n     */\n    function toInt112(int256 value) internal pure returns (int112 downcasted) {\n        downcasted = int112(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(112, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int104 from int256, reverting on\n     * overflow (when the input is less than smallest int104 or\n     * greater than largest int104).\n     *\n     * Counterpart to Solidity's `int104` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 104 bits\n     */\n    function toInt104(int256 value) internal pure returns (int104 downcasted) {\n        downcasted = int104(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(104, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int96 from int256, reverting on\n     * overflow (when the input is less than smallest int96 or\n     * greater than largest int96).\n     *\n     * Counterpart to Solidity's `int96` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 96 bits\n     */\n    function toInt96(int256 value) internal pure returns (int96 downcasted) {\n        downcasted = int96(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(96, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int88 from int256, reverting on\n     * overflow (when the input is less than smallest int88 or\n     * greater than largest int88).\n     *\n     * Counterpart to Solidity's `int88` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 88 bits\n     */\n    function toInt88(int256 value) internal pure returns (int88 downcasted) {\n        downcasted = int88(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(88, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int80 from int256, reverting on\n     * overflow (when the input is less than smallest int80 or\n     * greater than largest int80).\n     *\n     * Counterpart to Solidity's `int80` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 80 bits\n     */\n    function toInt80(int256 value) internal pure returns (int80 downcasted) {\n        downcasted = int80(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(80, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int72 from int256, reverting on\n     * overflow (when the input is less than smallest int72 or\n     * greater than largest int72).\n     *\n     * Counterpart to Solidity's `int72` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 72 bits\n     */\n    function toInt72(int256 value) internal pure returns (int72 downcasted) {\n        downcasted = int72(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(72, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int64 from int256, reverting on\n     * overflow (when the input is less than smallest int64 or\n     * greater than largest int64).\n     *\n     * Counterpart to Solidity's `int64` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 64 bits\n     */\n    function toInt64(int256 value) internal pure returns (int64 downcasted) {\n        downcasted = int64(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(64, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int56 from int256, reverting on\n     * overflow (when the input is less than smallest int56 or\n     * greater than largest int56).\n     *\n     * Counterpart to Solidity's `int56` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 56 bits\n     */\n    function toInt56(int256 value) internal pure returns (int56 downcasted) {\n        downcasted = int56(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(56, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int48 from int256, reverting on\n     * overflow (when the input is less than smallest int48 or\n     * greater than largest int48).\n     *\n     * Counterpart to Solidity's `int48` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 48 bits\n     */\n    function toInt48(int256 value) internal pure returns (int48 downcasted) {\n        downcasted = int48(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(48, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int40 from int256, reverting on\n     * overflow (when the input is less than smallest int40 or\n     * greater than largest int40).\n     *\n     * Counterpart to Solidity's `int40` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 40 bits\n     */\n    function toInt40(int256 value) internal pure returns (int40 downcasted) {\n        downcasted = int40(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(40, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int32 from int256, reverting on\n     * overflow (when the input is less than smallest int32 or\n     * greater than largest int32).\n     *\n     * Counterpart to Solidity's `int32` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 32 bits\n     */\n    function toInt32(int256 value) internal pure returns (int32 downcasted) {\n        downcasted = int32(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(32, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int24 from int256, reverting on\n     * overflow (when the input is less than smallest int24 or\n     * greater than largest int24).\n     *\n     * Counterpart to Solidity's `int24` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 24 bits\n     */\n    function toInt24(int256 value) internal pure returns (int24 downcasted) {\n        downcasted = int24(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(24, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int16 from int256, reverting on\n     * overflow (when the input is less than smallest int16 or\n     * greater than largest int16).\n     *\n     * Counterpart to Solidity's `int16` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 16 bits\n     */\n    function toInt16(int256 value) internal pure returns (int16 downcasted) {\n        downcasted = int16(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(16, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int8 from int256, reverting on\n     * overflow (when the input is less than smallest int8 or\n     * greater than largest int8).\n     *\n     * Counterpart to Solidity's `int8` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 8 bits\n     */\n    function toInt8(int256 value) internal pure returns (int8 downcasted) {\n        downcasted = int8(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(8, value);\n        }\n    }\n\n    /**\n     * @dev Converts an unsigned uint256 into a signed int256.\n     *\n     * Requirements:\n     *\n     * - input must be less than or equal to maxInt256.\n     */\n    function toInt256(uint256 value) internal pure returns (int256) {\n        // Note: Unsafe cast below is okay because `type(int256).max` is guaranteed to be positive\n        if (value > uint256(type(int256).max)) {\n            revert SafeCastOverflowedUintToInt(value);\n        }\n        return int256(value);\n    }\n\n    /**\n     * @dev Cast a boolean (false or true) to a uint256 (0 or 1) with no jump.\n     */\n    function toUint(bool b) internal pure returns (uint256 u) {\n        assembly (\"memory-safe\") {\n            u := iszero(iszero(b))\n        }\n    }\n}\n"},{"file_path":"lib/openzeppelin-contracts/contracts/utils/math/SignedMath.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.1.0) (utils/math/SignedMath.sol)\n\npragma solidity ^0.8.20;\n\nimport {SafeCast} from \"./SafeCast.sol\";\n\n/**\n * @dev Standard signed math utilities missing in the Solidity language.\n */\nlibrary SignedMath {\n    /**\n     * @dev Branchless ternary evaluation for `a ? b : c`. Gas costs are constant.\n     *\n     * IMPORTANT: This function may reduce bytecode size and consume less gas when used standalone.\n     * However, the compiler may optimize Solidity ternary operations (i.e. `a ? b : c`) to only compute\n     * one branch when needed, making this function more expensive.\n     */\n    function ternary(bool condition, int256 a, int256 b) internal pure returns (int256) {\n        unchecked {\n            // branchless ternary works because:\n            // b ^ (a ^ b) == a\n            // b ^ 0 == b\n            return b ^ ((a ^ b) * int256(SafeCast.toUint(condition)));\n        }\n    }\n\n    /**\n     * @dev Returns the largest of two signed numbers.\n     */\n    function max(int256 a, int256 b) internal pure returns (int256) {\n        return ternary(a > b, a, b);\n    }\n\n    /**\n     * @dev Returns the smallest of two signed numbers.\n     */\n    function min(int256 a, int256 b) internal pure returns (int256) {\n        return ternary(a < b, a, b);\n    }\n\n    /**\n     * @dev Returns the average of two signed numbers without overflow.\n     * The result is rounded towards zero.\n     */\n    function average(int256 a, int256 b) internal pure returns (int256) {\n        // Formula from the book \"Hacker's Delight\"\n        int256 x = (a & b) + ((a ^ b) >> 1);\n        return x + (int256(uint256(x) >> 255) & (a ^ b));\n    }\n\n    /**\n     * @dev Returns the absolute unsigned value of a signed value.\n     */\n    function abs(int256 n) internal pure returns (uint256) {\n        unchecked {\n            // Formula from the \"Bit Twiddling Hacks\" by Sean Eron Anderson.\n            // Since `n` is a signed integer, the generated bytecode will use the SAR opcode to perform the right shift,\n            // taking advantage of the most significant (or \"sign\" bit) in two's complement representation.\n            // This opcode adds new most significant bits set to the value of the previous most significant bit. As a result,\n            // the mask will either be `bytes32(0)` (if n is positive) or `~bytes32(0)` (if n is negative).\n            int256 mask = n >> 255;\n\n            // A `bytes32(0)` mask leaves the input unchanged, while a `~bytes32(0)` mask complements it.\n            return uint256((n + mask) ^ mask);\n        }\n    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