{"sources":{"@openzeppelin/contracts/interfaces/IERC1967.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.4.0) (interfaces/IERC1967.sol)\n\npragma solidity >=0.4.11;\n\n/**\n * @dev ERC-1967: Proxy Storage Slots. This interface contains the events defined in the ERC.\n */\ninterface IERC1967 {\n    /**\n     * @dev Emitted when the implementation is upgraded.\n     */\n    event Upgraded(address indexed implementation);\n\n    /**\n     * @dev Emitted when the admin account has changed.\n     */\n    event AdminChanged(address previousAdmin, address newAdmin);\n\n    /**\n     * @dev Emitted when the beacon is changed.\n     */\n    event BeaconUpgraded(address indexed beacon);\n}\n"},"@openzeppelin/contracts/proxy/ERC1967/ERC1967Proxy.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.2.0) (proxy/ERC1967/ERC1967Proxy.sol)\n\npragma solidity ^0.8.22;\n\nimport {Proxy} from \"../Proxy.sol\";\nimport {ERC1967Utils} from \"./ERC1967Utils.sol\";\n\n/**\n * @dev This contract implements an upgradeable proxy. It is upgradeable because calls are delegated to an\n * implementation address that can be changed. This address is stored in storage in the location specified by\n * https://eips.ethereum.org/EIPS/eip-1967[ERC-1967], so that it doesn't conflict with the storage layout of the\n * implementation behind the proxy.\n */\ncontract ERC1967Proxy is Proxy {\n    /**\n     * @dev Initializes the upgradeable proxy with an initial implementation specified by `implementation`.\n     *\n     * If `_data` is nonempty, it's used as data in a delegate call to `implementation`. This will typically be an\n     * encoded function call, and allows initializing the storage of the proxy like a Solidity constructor.\n     *\n     * Requirements:\n     *\n     * - If `data` is empty, `msg.value` must be zero.\n     */\n    constructor(address implementation, bytes memory _data) payable {\n        ERC1967Utils.upgradeToAndCall(implementation, _data);\n    }\n\n    /**\n     * @dev Returns the current implementation address.\n     *\n     * TIP: To get this value clients can read directly from the storage slot shown below (specified by ERC-1967) using\n     * the https://eth.wiki/json-rpc/API#eth_getstorageat[`eth_getStorageAt`] RPC call.\n     * `0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc`\n     */\n    function _implementation() internal view virtual override returns (address) {\n        return ERC1967Utils.getImplementation();\n    }\n}\n"},"@openzeppelin/contracts/proxy/ERC1967/ERC1967Utils.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.4.0) (proxy/ERC1967/ERC1967Utils.sol)\n\npragma solidity ^0.8.21;\n\nimport {IBeacon} from \"../beacon/IBeacon.sol\";\nimport {IERC1967} from \"../../interfaces/IERC1967.sol\";\nimport {Address} from \"../../utils/Address.sol\";\nimport {StorageSlot} from \"../../utils/StorageSlot.sol\";\n\n/**\n * @dev This library provides getters and event emitting update functions for\n * https://eips.ethereum.org/EIPS/eip-1967[ERC-1967] slots.\n */\nlibrary ERC1967Utils {\n    /**\n     * @dev Storage slot with the address of the current implementation.\n     * This is the keccak-256 hash of \"eip1967.proxy.implementation\" subtracted by 1.\n     */\n    // solhint-disable-next-line private-vars-leading-underscore\n    bytes32 internal constant IMPLEMENTATION_SLOT = 0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc;\n\n    /**\n     * @dev The `implementation` of the proxy is invalid.\n     */\n    error ERC1967InvalidImplementation(address implementation);\n\n    /**\n     * @dev The `admin` of the proxy is invalid.\n     */\n    error ERC1967InvalidAdmin(address admin);\n\n    /**\n     * @dev The `beacon` of the proxy is invalid.\n     */\n    error ERC1967InvalidBeacon(address beacon);\n\n    /**\n     * @dev An upgrade function sees `msg.value > 0` that may be lost.\n     */\n    error ERC1967NonPayable();\n\n    /**\n     * @dev Returns the current implementation address.\n     */\n    function getImplementation() internal view returns (address) {\n        return StorageSlot.getAddressSlot(IMPLEMENTATION_SLOT).value;\n    }\n\n    /**\n     * @dev Stores a new address in the ERC-1967 implementation slot.\n     */\n    function _setImplementation(address newImplementation) private {\n        if (newImplementation.code.length == 0) {\n            revert ERC1967InvalidImplementation(newImplementation);\n        }\n        StorageSlot.getAddressSlot(IMPLEMENTATION_SLOT).value = newImplementation;\n    }\n\n    /**\n     * @dev Performs implementation upgrade with additional setup call if data is nonempty.\n     * This function is payable only if the setup call is performed, otherwise `msg.value` is rejected\n     * to avoid stuck value in the contract.\n     *\n     * Emits an {IERC1967-Upgraded} event.\n     */\n    function upgradeToAndCall(address newImplementation, bytes memory data) internal {\n        _setImplementation(newImplementation);\n        emit IERC1967.Upgraded(newImplementation);\n\n        if (data.length > 0) {\n            Address.functionDelegateCall(newImplementation, data);\n        } else {\n            _checkNonPayable();\n        }\n    }\n\n    /**\n     * @dev Storage slot with the admin of the contract.\n     * This is the keccak-256 hash of \"eip1967.proxy.admin\" subtracted by 1.\n     */\n    // solhint-disable-next-line private-vars-leading-underscore\n    bytes32 internal constant ADMIN_SLOT = 0xb53127684a568b3173ae13b9f8a6016e243e63b6e8ee1178d6a717850b5d6103;\n\n    /**\n     * @dev Returns the current admin.\n     *\n     * TIP: To get this value clients can read directly from the storage slot shown below (specified by ERC-1967) using\n     * the https://eth.wiki/json-rpc/API#eth_getstorageat[`eth_getStorageAt`] RPC call.\n     * `0xb53127684a568b3173ae13b9f8a6016e243e63b6e8ee1178d6a717850b5d6103`\n     */\n    function getAdmin() internal view returns (address) {\n        return StorageSlot.getAddressSlot(ADMIN_SLOT).value;\n    }\n\n    /**\n     * @dev Stores a new address in the ERC-1967 admin slot.\n     */\n    function _setAdmin(address newAdmin) private {\n        if (newAdmin == address(0)) {\n            revert ERC1967InvalidAdmin(address(0));\n        }\n        StorageSlot.getAddressSlot(ADMIN_SLOT).value = newAdmin;\n    }\n\n    /**\n     * @dev Changes the admin of the proxy.\n     *\n     * Emits an {IERC1967-AdminChanged} event.\n     */\n    function changeAdmin(address newAdmin) internal {\n        emit IERC1967.AdminChanged(getAdmin(), newAdmin);\n        _setAdmin(newAdmin);\n    }\n\n    /**\n     * @dev The storage slot of the UpgradeableBeacon contract which defines the implementation for this proxy.\n     * This is the keccak-256 hash of \"eip1967.proxy.beacon\" subtracted by 1.\n     */\n    // solhint-disable-next-line private-vars-leading-underscore\n    bytes32 internal constant BEACON_SLOT = 0xa3f0ad74e5423aebfd80d3ef4346578335a9a72aeaee59ff6cb3582b35133d50;\n\n    /**\n     * @dev Returns the current beacon.\n     */\n    function getBeacon() internal view returns (address) {\n        return StorageSlot.getAddressSlot(BEACON_SLOT).value;\n    }\n\n    /**\n     * @dev Stores a new beacon in the ERC-1967 beacon slot.\n     */\n    function _setBeacon(address newBeacon) private {\n        if (newBeacon.code.length == 0) {\n            revert ERC1967InvalidBeacon(newBeacon);\n        }\n\n        StorageSlot.getAddressSlot(BEACON_SLOT).value = newBeacon;\n\n        address beaconImplementation = IBeacon(newBeacon).implementation();\n        if (beaconImplementation.code.length == 0) {\n            revert ERC1967InvalidImplementation(beaconImplementation);\n        }\n    }\n\n    /**\n     * @dev Change the beacon and trigger a setup call if data is nonempty.\n     * This function is payable only if the setup call is performed, otherwise `msg.value` is rejected\n     * to avoid stuck value in the contract.\n     *\n     * Emits an {IERC1967-BeaconUpgraded} event.\n     *\n     * CAUTION: Invoking this function has no effect on an instance of {BeaconProxy} since v5, since\n     * it uses an immutable beacon without looking at the value of the ERC-1967 beacon slot for\n     * efficiency.\n     */\n    function upgradeBeaconToAndCall(address newBeacon, bytes memory data) internal {\n        _setBeacon(newBeacon);\n        emit IERC1967.BeaconUpgraded(newBeacon);\n\n        if (data.length > 0) {\n            Address.functionDelegateCall(IBeacon(newBeacon).implementation(), data);\n        } else {\n            _checkNonPayable();\n        }\n    }\n\n    /**\n     * @dev Reverts if `msg.value` is not zero. It can be used to avoid `msg.value` stuck in the contract\n     * if an upgrade doesn't perform an initialization call.\n     */\n    function _checkNonPayable() private {\n        if (msg.value > 0) {\n            revert ERC1967NonPayable();\n        }\n    }\n}\n"},"@openzeppelin/contracts/proxy/Proxy.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.0.0) (proxy/Proxy.sol)\n\npragma solidity ^0.8.20;\n\n/**\n * @dev This abstract contract provides a fallback function that delegates all calls to another contract using the EVM\n * instruction `delegatecall`. We refer to the second contract as the _implementation_ behind the proxy, and it has to\n * be specified by overriding the virtual {_implementation} function.\n *\n * Additionally, delegation to the implementation can be triggered manually through the {_fallback} function, or to a\n * different contract through the {_delegate} function.\n *\n * The success and return data of the delegated call will be returned back to the caller of the proxy.\n */\nabstract contract Proxy {\n    /**\n     * @dev Delegates the current call to `implementation`.\n     *\n     * This function does not return to its internal call site, it will return directly to the external caller.\n     */\n    function _delegate(address implementation) internal virtual {\n        assembly {\n            // Copy msg.data. We take full control of memory in this inline assembly\n            // block because it will not return to Solidity code. We overwrite the\n            // Solidity scratch pad at memory position 0.\n            calldatacopy(0, 0, calldatasize())\n\n            // Call the implementation.\n            // out and outsize are 0 because we don't know the size yet.\n            let result := delegatecall(gas(), implementation, 0, calldatasize(), 0, 0)\n\n            // Copy the returned data.\n            returndatacopy(0, 0, returndatasize())\n\n            switch result\n            // delegatecall returns 0 on error.\n            case 0 {\n                revert(0, returndatasize())\n            }\n            default {\n                return(0, returndatasize())\n            }\n        }\n    }\n\n    /**\n     * @dev This is a virtual function that should be overridden so it returns the address to which the fallback\n     * function and {_fallback} should delegate.\n     */\n    function _implementation() internal view virtual returns (address);\n\n    /**\n     * @dev Delegates the current call to the address returned by `_implementation()`.\n     *\n     * This function does not return to its internal call site, it will return directly to the external caller.\n     */\n    function _fallback() internal virtual {\n        _delegate(_implementation());\n    }\n\n    /**\n     * @dev Fallback function that delegates calls to the address returned by `_implementation()`. Will run if no other\n     * function in the contract matches the call data.\n     */\n    fallback() external payable virtual {\n        _fallback();\n    }\n}\n"},"@openzeppelin/contracts/proxy/beacon/IBeacon.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.4.0) (proxy/beacon/IBeacon.sol)\n\npragma solidity >=0.4.16;\n\n/**\n * @dev This is the interface that {BeaconProxy} expects of its beacon.\n */\ninterface IBeacon {\n    /**\n     * @dev Must return an address that can be used as a delegate call target.\n     *\n     * {UpgradeableBeacon} will check that this address is a contract.\n     */\n    function implementation() external view returns (address);\n}\n"},"@openzeppelin/contracts/utils/Address.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.4.0) (utils/Address.sol)\n\npragma solidity ^0.8.20;\n\nimport {Errors} from \"./Errors.sol\";\n\n/**\n * @dev Collection of functions related to the address type\n */\nlibrary Address {\n    /**\n     * @dev There's no code at `target` (it is not a contract).\n     */\n    error AddressEmptyCode(address target);\n\n    /**\n     * @dev Replacement for Solidity's `transfer`: sends `amount` wei to\n     * `recipient`, forwarding all available gas and reverting on errors.\n     *\n     * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost\n     * of certain opcodes, possibly making contracts go over the 2300 gas limit\n     * imposed by `transfer`, making them unable to receive funds via\n     * `transfer`. {sendValue} removes this limitation.\n     *\n     * https://consensys.net/diligence/blog/2019/09/stop-using-soliditys-transfer-now/[Learn more].\n     *\n     * IMPORTANT: because control is transferred to `recipient`, care must be\n     * taken to not create reentrancy vulnerabilities. Consider using\n     * {ReentrancyGuard} or the\n     * https://solidity.readthedocs.io/en/v0.8.20/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].\n     */\n    function sendValue(address payable recipient, uint256 amount) internal {\n        if (address(this).balance < amount) {\n            revert Errors.InsufficientBalance(address(this).balance, amount);\n        }\n\n        (bool success, bytes memory returndata) = recipient.call{value: amount}(\"\");\n        if (!success) {\n            _revert(returndata);\n        }\n    }\n\n    /**\n     * @dev Performs a Solidity function call using a low level `call`. A\n     * plain `call` is an unsafe replacement for a function call: use this\n     * function instead.\n     *\n     * If `target` reverts with a revert reason or custom error, it is bubbled\n     * up by this function (like regular Solidity function calls). However, if\n     * the call reverted with no returned reason, this function reverts with a\n     * {Errors.FailedCall} error.\n     *\n     * Returns the raw returned data. To convert to the expected return value,\n     * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].\n     *\n     * Requirements:\n     *\n     * - `target` must be a contract.\n     * - calling `target` with `data` must not revert.\n     */\n    function functionCall(address target, bytes memory data) internal returns (bytes memory) {\n        return functionCallWithValue(target, data, 0);\n    }\n\n    /**\n     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],\n     * but also transferring `value` wei to `target`.\n     *\n     * Requirements:\n     *\n     * - the calling contract must have an ETH balance of at least `value`.\n     * - the called Solidity function must be `payable`.\n     */\n    function functionCallWithValue(address target, bytes memory data, uint256 value) internal returns (bytes memory) {\n        if (address(this).balance < value) {\n            revert Errors.InsufficientBalance(address(this).balance, value);\n        }\n        (bool success, bytes memory returndata) = target.call{value: value}(data);\n        return verifyCallResultFromTarget(target, success, returndata);\n    }\n\n    /**\n     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],\n     * but performing a static call.\n     */\n    function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {\n        (bool success, bytes memory returndata) = target.staticcall(data);\n        return verifyCallResultFromTarget(target, success, returndata);\n    }\n\n    /**\n     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],\n     * but performing a delegate call.\n     */\n    function functionDelegateCall(address target, bytes memory data) internal returns (bytes memory) {\n        (bool success, bytes memory returndata) = target.delegatecall(data);\n        return verifyCallResultFromTarget(target, success, returndata);\n    }\n\n    /**\n     * @dev Tool to verify that a low level call to smart-contract was successful, and reverts if the target\n     * was not a contract or bubbling up the revert reason (falling back to {Errors.FailedCall}) in case\n     * of an unsuccessful call.\n     */\n    function verifyCallResultFromTarget(\n        address target,\n        bool success,\n        bytes memory returndata\n    ) internal view returns (bytes memory) {\n        if (!success) {\n            _revert(returndata);\n        } else {\n            // only check if target is a contract if the call was successful and the return data is empty\n            // otherwise we already know that it was a contract\n            if (returndata.length == 0 && target.code.length == 0) {\n                revert AddressEmptyCode(target);\n            }\n            return returndata;\n        }\n    }\n\n    /**\n     * @dev Tool to verify that a low level call was successful, and reverts if it wasn't, either by bubbling the\n     * revert reason or with a default {Errors.FailedCall} error.\n     */\n    function verifyCallResult(bool success, bytes memory returndata) internal pure returns (bytes memory) {\n        if (!success) {\n            _revert(returndata);\n        } else {\n            return returndata;\n        }\n    }\n\n    /**\n     * @dev Reverts with returndata if present. Otherwise reverts with {Errors.FailedCall}.\n     */\n    function _revert(bytes memory returndata) private pure {\n        // Look for revert reason and bubble it up if present\n        if (returndata.length > 0) {\n            // The easiest way to bubble the revert reason is using memory via assembly\n            assembly (\"memory-safe\") {\n                revert(add(returndata, 0x20), mload(returndata))\n            }\n        } else {\n            revert Errors.FailedCall();\n        }\n    }\n}\n"},"@openzeppelin/contracts/utils/Errors.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.1.0) (utils/Errors.sol)\n\npragma solidity ^0.8.20;\n\n/**\n * @dev Collection of common custom errors used in multiple contracts\n *\n * IMPORTANT: Backwards compatibility is not guaranteed in future versions of the library.\n * It is recommended to avoid relying on the error API for critical functionality.\n *\n * _Available since v5.1._\n */\nlibrary Errors {\n    /**\n     * @dev The ETH balance of the account is not enough to perform the operation.\n     */\n    error InsufficientBalance(uint256 balance, uint256 needed);\n\n    /**\n     * @dev A call to an address target failed. The target may have reverted.\n     */\n    error FailedCall();\n\n    /**\n     * @dev The deployment failed.\n     */\n    error FailedDeployment();\n\n    /**\n     * @dev A necessary precompile is missing.\n     */\n    error MissingPrecompile(address);\n}\n"},"@openzeppelin/contracts/utils/StorageSlot.sol":{"content":"// 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"},"@openzeppelin/contracts-upgradeable/access/OwnableUpgradeable.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.0.0) (access/Ownable.sol)\n\npragma solidity ^0.8.20;\n\nimport {ContextUpgradeable} from \"../utils/ContextUpgradeable.sol\";\nimport {Initializable} from \"../proxy/utils/Initializable.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 OwnableUpgradeable is Initializable, ContextUpgradeable {\n    /// @custom:storage-location erc7201:openzeppelin.storage.Ownable\n    struct OwnableStorage {\n        address _owner;\n    }\n\n    // keccak256(abi.encode(uint256(keccak256(\"openzeppelin.storage.Ownable\")) - 1)) & ~bytes32(uint256(0xff))\n    bytes32 private constant OwnableStorageLocation = 0x9016d09d72d40fdae2fd8ceac6b6234c7706214fd39c1cd1e609a0528c199300;\n\n    function _getOwnableStorage() private pure returns (OwnableStorage storage $) {\n        assembly {\n            $.slot := OwnableStorageLocation\n        }\n    }\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    function __Ownable_init(address initialOwner) internal onlyInitializing {\n        __Ownable_init_unchained(initialOwner);\n    }\n\n    function __Ownable_init_unchained(address initialOwner) internal onlyInitializing {\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        OwnableStorage storage $ = _getOwnableStorage();\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        OwnableStorage storage $ = _getOwnableStorage();\n        address oldOwner = $._owner;\n        $._owner = newOwner;\n        emit OwnershipTransferred(oldOwner, newOwner);\n    }\n}\n"},"@openzeppelin/contracts-upgradeable/proxy/utils/Initializable.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.3.0) (proxy/utils/Initializable.sol)\n\npragma solidity ^0.8.20;\n\n/**\n * @dev This is a base contract to aid in writing upgradeable contracts, or any kind of contract that will be deployed\n * behind a proxy. Since proxied contracts do not make use of a constructor, it's common to move constructor logic to an\n * external initializer function, usually called `initialize`. It then becomes necessary to protect this initializer\n * function so it can only be called once. The {initializer} modifier provided by this contract will have this effect.\n *\n * The initialization functions use a version number. Once a version number is used, it is consumed and cannot be\n * reused. This mechanism prevents re-execution of each \"step\" but allows the creation of new initialization steps in\n * case an upgrade adds a module that needs to be initialized.\n *\n * For example:\n *\n * [.hljs-theme-light.nopadding]\n * ```solidity\n * contract MyToken is ERC20Upgradeable {\n *     function initialize() initializer public {\n *         __ERC20_init(\"MyToken\", \"MTK\");\n *     }\n * }\n *\n * contract MyTokenV2 is MyToken, ERC20PermitUpgradeable {\n *     function initializeV2() reinitializer(2) public {\n *         __ERC20Permit_init(\"MyToken\");\n *     }\n * }\n * ```\n *\n * TIP: To avoid leaving the proxy in an uninitialized state, the initializer function should be called as early as\n * possible by providing the encoded function call as the `_data` argument to {ERC1967Proxy-constructor}.\n *\n * CAUTION: When used with inheritance, manual care must be taken to not invoke a parent initializer twice, or to ensure\n * that all initializers are idempotent. This is not verified automatically as constructors are by Solidity.\n *\n * [CAUTION]\n * ====\n * Avoid leaving a contract uninitialized.\n *\n * An uninitialized contract can be taken over by an attacker. This applies to both a proxy and its implementation\n * contract, which may impact the proxy. To prevent the implementation contract from being used, you should invoke\n * the {_disableInitializers} function in the constructor to automatically lock it when it is deployed:\n *\n * [.hljs-theme-light.nopadding]\n * ```\n * /// @custom:oz-upgrades-unsafe-allow constructor\n * constructor() {\n *     _disableInitializers();\n * }\n * ```\n * ====\n */\nabstract contract Initializable {\n    /**\n     * @dev Storage of the initializable contract.\n     *\n     * It's implemented on a custom ERC-7201 namespace to reduce the risk of storage collisions\n     * when using with upgradeable contracts.\n     *\n     * @custom:storage-location erc7201:openzeppelin.storage.Initializable\n     */\n    struct InitializableStorage {\n        /**\n         * @dev Indicates that the contract has been initialized.\n         */\n        uint64 _initialized;\n        /**\n         * @dev Indicates that the contract is in the process of being initialized.\n         */\n        bool _initializing;\n    }\n\n    // keccak256(abi.encode(uint256(keccak256(\"openzeppelin.storage.Initializable\")) - 1)) & ~bytes32(uint256(0xff))\n    bytes32 private constant INITIALIZABLE_STORAGE = 0xf0c57e16840df040f15088dc2f81fe391c3923bec73e23a9662efc9c229c6a00;\n\n    /**\n     * @dev The contract is already initialized.\n     */\n    error InvalidInitialization();\n\n    /**\n     * @dev The contract is not initializing.\n     */\n    error NotInitializing();\n\n    /**\n     * @dev Triggered when the contract has been initialized or reinitialized.\n     */\n    event Initialized(uint64 version);\n\n    /**\n     * @dev A modifier that defines a protected initializer function that can be invoked at most once. In its scope,\n     * `onlyInitializing` functions can be used to initialize parent contracts.\n     *\n     * Similar to `reinitializer(1)`, except that in the context of a constructor an `initializer` may be invoked any\n     * number of times. This behavior in the constructor can be useful during testing and is not expected to be used in\n     * production.\n     *\n     * Emits an {Initialized} event.\n     */\n    modifier initializer() {\n        // solhint-disable-next-line var-name-mixedcase\n        InitializableStorage storage $ = _getInitializableStorage();\n\n        // Cache values to avoid duplicated sloads\n        bool isTopLevelCall = !$._initializing;\n        uint64 initialized = $._initialized;\n\n        // Allowed calls:\n        // - initialSetup: the contract is not in the initializing state and no previous version was\n        //                 initialized\n        // - construction: the contract is initialized at version 1 (no reinitialization) and the\n        //                 current contract is just being deployed\n        bool initialSetup = initialized == 0 && isTopLevelCall;\n        bool construction = initialized == 1 && address(this).code.length == 0;\n\n        if (!initialSetup && !construction) {\n            revert InvalidInitialization();\n        }\n        $._initialized = 1;\n        if (isTopLevelCall) {\n            $._initializing = true;\n        }\n        _;\n        if (isTopLevelCall) {\n            $._initializing = false;\n            emit Initialized(1);\n        }\n    }\n\n    /**\n     * @dev A modifier that defines a protected reinitializer function that can be invoked at most once, and only if the\n     * contract hasn't been initialized to a greater version before. In its scope, `onlyInitializing` functions can be\n     * used to initialize parent contracts.\n     *\n     * A reinitializer may be used after the original initialization step. This is essential to configure modules that\n     * are added through upgrades and that require initialization.\n     *\n     * When `version` is 1, this modifier is similar to `initializer`, except that functions marked with `reinitializer`\n     * cannot be nested. If one is invoked in the context of another, execution will revert.\n     *\n     * Note that versions can jump in increments greater than 1; this implies that if multiple reinitializers coexist in\n     * a contract, executing them in the right order is up to the developer or operator.\n     *\n     * WARNING: Setting the version to 2**64 - 1 will prevent any future reinitialization.\n     *\n     * Emits an {Initialized} event.\n     */\n    modifier reinitializer(uint64 version) {\n        // solhint-disable-next-line var-name-mixedcase\n        InitializableStorage storage $ = _getInitializableStorage();\n\n        if ($._initializing || $._initialized >= version) {\n            revert InvalidInitialization();\n        }\n        $._initialized = version;\n        $._initializing = true;\n        _;\n        $._initializing = false;\n        emit Initialized(version);\n    }\n\n    /**\n     * @dev Modifier to protect an initialization function so that it can only be invoked by functions with the\n     * {initializer} and {reinitializer} modifiers, directly or indirectly.\n     */\n    modifier onlyInitializing() {\n        _checkInitializing();\n        _;\n    }\n\n    /**\n     * @dev Reverts if the contract is not in an initializing state. See {onlyInitializing}.\n     */\n    function _checkInitializing() internal view virtual {\n        if (!_isInitializing()) {\n            revert NotInitializing();\n        }\n    }\n\n    /**\n     * @dev Locks the contract, preventing any future reinitialization. This cannot be part of an initializer call.\n     * Calling this in the constructor of a contract will prevent that contract from being initialized or reinitialized\n     * to any version. It is recommended to use this to lock implementation contracts that are designed to be called\n     * through proxies.\n     *\n     * Emits an {Initialized} event the first time it is successfully executed.\n     */\n    function _disableInitializers() internal virtual {\n        // solhint-disable-next-line var-name-mixedcase\n        InitializableStorage storage $ = _getInitializableStorage();\n\n        if ($._initializing) {\n            revert InvalidInitialization();\n        }\n        if ($._initialized != type(uint64).max) {\n            $._initialized = type(uint64).max;\n            emit Initialized(type(uint64).max);\n        }\n    }\n\n    /**\n     * @dev Returns the highest version that has been initialized. See {reinitializer}.\n     */\n    function _getInitializedVersion() internal view returns (uint64) {\n        return _getInitializableStorage()._initialized;\n    }\n\n    /**\n     * @dev Returns `true` if the contract is currently initializing. See {onlyInitializing}.\n     */\n    function _isInitializing() internal view returns (bool) {\n        return _getInitializableStorage()._initializing;\n    }\n\n    /**\n     * @dev Pointer to storage slot. Allows integrators to override it with a custom storage location.\n     *\n     * NOTE: Consider following the ERC-7201 formula to derive storage locations.\n     */\n    function _initializableStorageSlot() internal pure virtual returns (bytes32) {\n        return INITIALIZABLE_STORAGE;\n    }\n\n    /**\n     * @dev Returns a pointer to the storage namespace.\n     */\n    // solhint-disable-next-line var-name-mixedcase\n    function _getInitializableStorage() private pure returns (InitializableStorage storage $) {\n        bytes32 slot = _initializableStorageSlot();\n        assembly {\n            $.slot := slot\n        }\n    }\n}\n"},"@openzeppelin/contracts-upgradeable/proxy/utils/UUPSUpgradeable.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.3.0) (proxy/utils/UUPSUpgradeable.sol)\n\npragma solidity ^0.8.22;\n\nimport {IERC1822Proxiable} from \"@openzeppelin/contracts/interfaces/draft-IERC1822.sol\";\nimport {ERC1967Utils} from \"@openzeppelin/contracts/proxy/ERC1967/ERC1967Utils.sol\";\nimport {Initializable} from \"./Initializable.sol\";\n\n/**\n * @dev An upgradeability mechanism designed for UUPS proxies. The functions included here can perform an upgrade of an\n * {ERC1967Proxy}, when this contract is set as the implementation behind such a proxy.\n *\n * A security mechanism ensures that an upgrade does not turn off upgradeability accidentally, although this risk is\n * reinstated if the upgrade retains upgradeability but removes the security mechanism, e.g. by replacing\n * `UUPSUpgradeable` with a custom implementation of upgrades.\n *\n * The {_authorizeUpgrade} function must be overridden to include access restriction to the upgrade mechanism.\n */\nabstract contract UUPSUpgradeable is Initializable, IERC1822Proxiable {\n    /// @custom:oz-upgrades-unsafe-allow state-variable-immutable\n    address private immutable __self = address(this);\n\n    /**\n     * @dev The version of the upgrade interface of the contract. If this getter is missing, both `upgradeTo(address)`\n     * and `upgradeToAndCall(address,bytes)` are present, and `upgradeTo` must be used if no function should be called,\n     * while `upgradeToAndCall` will invoke the `receive` function if the second argument is the empty byte string.\n     * If the getter returns `\"5.0.0\"`, only `upgradeToAndCall(address,bytes)` is present, and the second argument must\n     * be the empty byte string if no function should be called, making it impossible to invoke the `receive` function\n     * during an upgrade.\n     */\n    string public constant UPGRADE_INTERFACE_VERSION = \"5.0.0\";\n\n    /**\n     * @dev The call is from an unauthorized context.\n     */\n    error UUPSUnauthorizedCallContext();\n\n    /**\n     * @dev The storage `slot` is unsupported as a UUID.\n     */\n    error UUPSUnsupportedProxiableUUID(bytes32 slot);\n\n    /**\n     * @dev Check that the execution is being performed through a delegatecall call and that the execution context is\n     * a proxy contract with an implementation (as defined in ERC-1967) pointing to self. This should only be the case\n     * for UUPS and transparent proxies that are using the current contract as their implementation. Execution of a\n     * function through ERC-1167 minimal proxies (clones) would not normally pass this test, but is not guaranteed to\n     * fail.\n     */\n    modifier onlyProxy() {\n        _checkProxy();\n        _;\n    }\n\n    /**\n     * @dev Check that the execution is not being performed through a delegate call. This allows a function to be\n     * callable on the implementing contract but not through proxies.\n     */\n    modifier notDelegated() {\n        _checkNotDelegated();\n        _;\n    }\n\n    function __UUPSUpgradeable_init() internal onlyInitializing {\n    }\n\n    function __UUPSUpgradeable_init_unchained() internal onlyInitializing {\n    }\n    /**\n     * @dev Implementation of the ERC-1822 {proxiableUUID} function. This returns the storage slot used by the\n     * implementation. It is used to validate the implementation's compatibility when performing an upgrade.\n     *\n     * IMPORTANT: A proxy pointing at a proxiable contract should not be considered proxiable itself, because this risks\n     * bricking a proxy that upgrades to it, by delegating to itself until out of gas. Thus it is critical that this\n     * function revert if invoked through a proxy. This is guaranteed by the `notDelegated` modifier.\n     */\n    function proxiableUUID() external view virtual notDelegated returns (bytes32) {\n        return ERC1967Utils.IMPLEMENTATION_SLOT;\n    }\n\n    /**\n     * @dev Upgrade the implementation of the proxy to `newImplementation`, and subsequently execute the function call\n     * encoded in `data`.\n     *\n     * Calls {_authorizeUpgrade}.\n     *\n     * Emits an {Upgraded} event.\n     *\n     * @custom:oz-upgrades-unsafe-allow-reachable delegatecall\n     */\n    function upgradeToAndCall(address newImplementation, bytes memory data) public payable virtual onlyProxy {\n        _authorizeUpgrade(newImplementation);\n        _upgradeToAndCallUUPS(newImplementation, data);\n    }\n\n    /**\n     * @dev Reverts if the execution is not performed via delegatecall or the execution\n     * context is not of a proxy with an ERC-1967 compliant implementation pointing to self.\n     */\n    function _checkProxy() internal view virtual {\n        if (\n            address(this) == __self || // Must be called through delegatecall\n            ERC1967Utils.getImplementation() != __self // Must be called through an active proxy\n        ) {\n            revert UUPSUnauthorizedCallContext();\n        }\n    }\n\n    /**\n     * @dev Reverts if the execution is performed via delegatecall.\n     * See {notDelegated}.\n     */\n    function _checkNotDelegated() internal view virtual {\n        if (address(this) != __self) {\n            // Must not be called through delegatecall\n            revert UUPSUnauthorizedCallContext();\n        }\n    }\n\n    /**\n     * @dev Function that should revert when `msg.sender` is not authorized to upgrade the contract. Called by\n     * {upgradeToAndCall}.\n     *\n     * Normally, this function will use an xref:access.adoc[access control] modifier such as {Ownable-onlyOwner}.\n     *\n     * ```solidity\n     * function _authorizeUpgrade(address) internal onlyOwner {}\n     * ```\n     */\n    function _authorizeUpgrade(address newImplementation) internal virtual;\n\n    /**\n     * @dev Performs an implementation upgrade with a security check for UUPS proxies, and additional setup call.\n     *\n     * As a security check, {proxiableUUID} is invoked in the new implementation, and the return value\n     * is expected to be the implementation slot in ERC-1967.\n     *\n     * Emits an {IERC1967-Upgraded} event.\n     */\n    function _upgradeToAndCallUUPS(address newImplementation, bytes memory data) private {\n        try IERC1822Proxiable(newImplementation).proxiableUUID() returns (bytes32 slot) {\n            if (slot != ERC1967Utils.IMPLEMENTATION_SLOT) {\n                revert UUPSUnsupportedProxiableUUID(slot);\n            }\n            ERC1967Utils.upgradeToAndCall(newImplementation, data);\n        } catch {\n            // The implementation is not UUPS\n            revert ERC1967Utils.ERC1967InvalidImplementation(newImplementation);\n        }\n    }\n}\n"},"@openzeppelin/contracts-upgradeable/token/ERC20/ERC20Upgradeable.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.4.0) (token/ERC20/ERC20.sol)\n\npragma solidity ^0.8.20;\n\nimport {IERC20} from \"@openzeppelin/contracts/token/ERC20/IERC20.sol\";\nimport {IERC20Metadata} from \"@openzeppelin/contracts/token/ERC20/extensions/IERC20Metadata.sol\";\nimport {ContextUpgradeable} from \"../../utils/ContextUpgradeable.sol\";\nimport {IERC20Errors} from \"@openzeppelin/contracts/interfaces/draft-IERC6093.sol\";\nimport {Initializable} from \"../../proxy/utils/Initializable.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 ERC20Upgradeable is Initializable, ContextUpgradeable, IERC20, IERC20Metadata, IERC20Errors {\n    /// @custom:storage-location erc7201:openzeppelin.storage.ERC20\n    struct ERC20Storage {\n        mapping(address account => uint256) _balances;\n\n        mapping(address account => mapping(address spender => uint256)) _allowances;\n\n        uint256 _totalSupply;\n\n        string _name;\n        string _symbol;\n    }\n\n    // keccak256(abi.encode(uint256(keccak256(\"openzeppelin.storage.ERC20\")) - 1)) & ~bytes32(uint256(0xff))\n    bytes32 private constant ERC20StorageLocation = 0x52c63247e1f47db19d5ce0460030c497f067ca4cebf71ba98eeadabe20bace00;\n\n    function _getERC20Storage() private pure returns (ERC20Storage storage $) {\n        assembly {\n            $.slot := ERC20StorageLocation\n        }\n    }\n\n    /**\n     * @dev Sets the values for {name} and {symbol}.\n     *\n     * Both values are immutable: they can only be set once during construction.\n     */\n    function __ERC20_init(string memory name_, string memory symbol_) internal onlyInitializing {\n        __ERC20_init_unchained(name_, symbol_);\n    }\n\n    function __ERC20_init_unchained(string memory name_, string memory symbol_) internal onlyInitializing {\n        ERC20Storage storage $ = _getERC20Storage();\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        ERC20Storage storage $ = _getERC20Storage();\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        ERC20Storage storage $ = _getERC20Storage();\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    /// @inheritdoc IERC20\n    function totalSupply() public view virtual returns (uint256) {\n        ERC20Storage storage $ = _getERC20Storage();\n        return $._totalSupply;\n    }\n\n    /// @inheritdoc IERC20\n    function balanceOf(address account) public view virtual returns (uint256) {\n        ERC20Storage storage $ = _getERC20Storage();\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    /// @inheritdoc IERC20\n    function allowance(address owner, address spender) public view virtual returns (uint256) {\n        ERC20Storage storage $ = _getERC20Storage();\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        ERC20Storage storage $ = _getERC20Storage();\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        ERC20Storage storage $ = _getERC20Storage();\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"},"@openzeppelin/contracts-upgradeable/token/ERC20/extensions/ERC20BurnableUpgradeable.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.0.0) (token/ERC20/extensions/ERC20Burnable.sol)\n\npragma solidity ^0.8.20;\n\nimport {ERC20Upgradeable} from \"../ERC20Upgradeable.sol\";\nimport {ContextUpgradeable} from \"../../../utils/ContextUpgradeable.sol\";\nimport {Initializable} from \"../../../proxy/utils/Initializable.sol\";\n\n/**\n * @dev Extension of {ERC20} that allows token holders to destroy both their own\n * tokens and those that they have an allowance for, in a way that can be\n * recognized off-chain (via event analysis).\n */\nabstract contract ERC20BurnableUpgradeable is Initializable, ContextUpgradeable, ERC20Upgradeable {\n    function __ERC20Burnable_init() internal onlyInitializing {\n    }\n\n    function __ERC20Burnable_init_unchained() internal onlyInitializing {\n    }\n    /**\n     * @dev Destroys a `value` amount of tokens from the caller.\n     *\n     * See {ERC20-_burn}.\n     */\n    function burn(uint256 value) public virtual {\n        _burn(_msgSender(), value);\n    }\n\n    /**\n     * @dev Destroys a `value` amount of tokens from `account`, deducting from\n     * the caller's allowance.\n     *\n     * See {ERC20-_burn} and {ERC20-allowance}.\n     *\n     * Requirements:\n     *\n     * - the caller must have allowance for ``accounts``'s tokens of at least\n     * `value`.\n     */\n    function burnFrom(address account, uint256 value) public virtual {\n        _spendAllowance(account, _msgSender(), value);\n        _burn(account, value);\n    }\n}\n"},"@openzeppelin/contracts-upgradeable/token/ERC20/extensions/ERC20PausableUpgradeable.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.1.0) (token/ERC20/extensions/ERC20Pausable.sol)\n\npragma solidity ^0.8.20;\n\nimport {ERC20Upgradeable} from \"../ERC20Upgradeable.sol\";\nimport {PausableUpgradeable} from \"../../../utils/PausableUpgradeable.sol\";\nimport {Initializable} from \"../../../proxy/utils/Initializable.sol\";\n\n/**\n * @dev ERC-20 token with pausable token transfers, minting and burning.\n *\n * Useful for scenarios such as preventing trades until the end of an evaluation\n * period, or having an emergency switch for freezing all token transfers in the\n * event of a large bug.\n *\n * IMPORTANT: This contract does not include public pause and unpause functions. In\n * addition to inheriting this contract, you must define both functions, invoking the\n * {Pausable-_pause} and {Pausable-_unpause} internal functions, with appropriate\n * access control, e.g. using {AccessControl} or {Ownable}. Not doing so will\n * make the contract pause mechanism of the contract unreachable, and thus unusable.\n */\nabstract contract ERC20PausableUpgradeable is Initializable, ERC20Upgradeable, PausableUpgradeable {\n    function __ERC20Pausable_init() internal onlyInitializing {\n    }\n\n    function __ERC20Pausable_init_unchained() internal onlyInitializing {\n    }\n    /**\n     * @dev See {ERC20-_update}.\n     *\n     * Requirements:\n     *\n     * - the contract must not be paused.\n     */\n    function _update(address from, address to, uint256 value) internal virtual override whenNotPaused {\n        super._update(from, to, value);\n    }\n}\n"},"@openzeppelin/contracts-upgradeable/token/ERC20/extensions/ERC20PermitUpgradeable.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.4.0) (token/ERC20/extensions/ERC20Permit.sol)\n\npragma solidity ^0.8.20;\n\nimport {IERC20Permit} from \"@openzeppelin/contracts/token/ERC20/extensions/IERC20Permit.sol\";\nimport {ERC20Upgradeable} from \"../ERC20Upgradeable.sol\";\nimport {ECDSA} from \"@openzeppelin/contracts/utils/cryptography/ECDSA.sol\";\nimport {EIP712Upgradeable} from \"../../../utils/cryptography/EIP712Upgradeable.sol\";\nimport {NoncesUpgradeable} from \"../../../utils/NoncesUpgradeable.sol\";\nimport {Initializable} from \"../../../proxy/utils/Initializable.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 ERC20PermitUpgradeable is Initializable, ERC20Upgradeable, IERC20Permit, EIP712Upgradeable, NoncesUpgradeable {\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    function __ERC20Permit_init(string memory name) internal onlyInitializing {\n        __EIP712_init_unchained(name, \"1\");\n    }\n\n    function __ERC20Permit_init_unchained(string memory) internal onlyInitializing {}\n\n    /// @inheritdoc IERC20Permit\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    /// @inheritdoc IERC20Permit\n    function nonces(address owner) public view virtual override(IERC20Permit, NoncesUpgradeable) returns (uint256) {\n        return super.nonces(owner);\n    }\n\n    /// @inheritdoc IERC20Permit\n    // solhint-disable-next-line func-name-mixedcase\n    function DOMAIN_SEPARATOR() external view virtual returns (bytes32) {\n        return _domainSeparatorV4();\n    }\n}\n"},"@openzeppelin/contracts-upgradeable/utils/ContextUpgradeable.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.0.1) (utils/Context.sol)\n\npragma solidity ^0.8.20;\nimport {Initializable} from \"../proxy/utils/Initializable.sol\";\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 ContextUpgradeable is Initializable {\n    function __Context_init() internal onlyInitializing {\n    }\n\n    function __Context_init_unchained() internal onlyInitializing {\n    }\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"},"@openzeppelin/contracts-upgradeable/utils/cryptography/EIP712Upgradeable.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.4.0) (utils/cryptography/EIP712.sol)\n\npragma solidity ^0.8.20;\n\nimport {MessageHashUtils} from \"@openzeppelin/contracts/utils/cryptography/MessageHashUtils.sol\";\nimport {IERC5267} from \"@openzeppelin/contracts/interfaces/IERC5267.sol\";\nimport {Initializable} from \"../../proxy/utils/Initializable.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: The upgradeable version of this contract does not use an immutable cache and recomputes the domain separator\n * each time {_domainSeparatorV4} is called. That is cheaper than accessing a cached version in cold storage.\n */\nabstract contract EIP712Upgradeable is Initializable, IERC5267 {\n    bytes32 private constant TYPE_HASH =\n        keccak256(\"EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)\");\n\n    /// @custom:storage-location erc7201:openzeppelin.storage.EIP712\n    struct EIP712Storage {\n        /// @custom:oz-renamed-from _HASHED_NAME\n        bytes32 _hashedName;\n        /// @custom:oz-renamed-from _HASHED_VERSION\n        bytes32 _hashedVersion;\n\n        string _name;\n        string _version;\n    }\n\n    // keccak256(abi.encode(uint256(keccak256(\"openzeppelin.storage.EIP712\")) - 1)) & ~bytes32(uint256(0xff))\n    bytes32 private constant EIP712StorageLocation = 0xa16a46d94261c7517cc8ff89f61c0ce93598e3c849801011dee649a6a557d100;\n\n    function _getEIP712Storage() private pure returns (EIP712Storage storage $) {\n        assembly {\n            $.slot := EIP712StorageLocation\n        }\n    }\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    function __EIP712_init(string memory name, string memory version) internal onlyInitializing {\n        __EIP712_init_unchained(name, version);\n    }\n\n    function __EIP712_init_unchained(string memory name, string memory version) internal onlyInitializing {\n        EIP712Storage storage $ = _getEIP712Storage();\n        $._name = name;\n        $._version = version;\n\n        // Reset prior values in storage if upgrading\n        $._hashedName = 0;\n        $._hashedVersion = 0;\n    }\n\n    /**\n     * @dev Returns the domain separator for the current chain.\n     */\n    function _domainSeparatorV4() internal view returns (bytes32) {\n        return _buildDomainSeparator();\n    }\n\n    function _buildDomainSeparator() private view returns (bytes32) {\n        return keccak256(abi.encode(TYPE_HASH, _EIP712NameHash(), _EIP712VersionHash(), 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    /// @inheritdoc IERC5267\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        EIP712Storage storage $ = _getEIP712Storage();\n        // If the hashed name and version in storage are non-zero, the contract hasn't been properly initialized\n        // and the EIP712 domain is not reliable, as it will be missing name and version.\n        require($._hashedName == 0 && $._hashedVersion == 0, \"EIP712: Uninitialized\");\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: This function reads from storage by default, but can be redefined to return a constant value if gas costs\n     * are a concern.\n     */\n    function _EIP712Name() internal view virtual returns (string memory) {\n        EIP712Storage storage $ = _getEIP712Storage();\n        return $._name;\n    }\n\n    /**\n     * @dev The version parameter for the EIP712 domain.\n     *\n     * NOTE: This function reads from storage by default, but can be redefined to return a constant value if gas costs\n     * are a concern.\n     */\n    function _EIP712Version() internal view virtual returns (string memory) {\n        EIP712Storage storage $ = _getEIP712Storage();\n        return $._version;\n    }\n\n    /**\n     * @dev The hash of the name parameter for the EIP712 domain.\n     *\n     * NOTE: In previous versions this function was virtual. In this version you should override `_EIP712Name` instead.\n     */\n    function _EIP712NameHash() internal view returns (bytes32) {\n        EIP712Storage storage $ = _getEIP712Storage();\n        string memory name = _EIP712Name();\n        if (bytes(name).length > 0) {\n            return keccak256(bytes(name));\n        } else {\n            // If the name is empty, the contract may have been upgraded without initializing the new storage.\n            // We return the name hash in storage if non-zero, otherwise we assume the name is empty by design.\n            bytes32 hashedName = $._hashedName;\n            if (hashedName != 0) {\n                return hashedName;\n            } else {\n                return keccak256(\"\");\n            }\n        }\n    }\n\n    /**\n     * @dev The hash of the version parameter for the EIP712 domain.\n     *\n     * NOTE: In previous versions this function was virtual. In this version you should override `_EIP712Version` instead.\n     */\n    function _EIP712VersionHash() internal view returns (bytes32) {\n        EIP712Storage storage $ = _getEIP712Storage();\n        string memory version = _EIP712Version();\n        if (bytes(version).length > 0) {\n            return keccak256(bytes(version));\n        } else {\n            // If the version is empty, the contract may have been upgraded without initializing the new storage.\n            // We return the version hash in storage if non-zero, otherwise we assume the version is empty by design.\n            bytes32 hashedVersion = $._hashedVersion;\n            if (hashedVersion != 0) {\n                return hashedVersion;\n            } else {\n                return keccak256(\"\");\n            }\n        }\n    }\n}\n"},"@openzeppelin/contracts-upgradeable/utils/introspection/ERC165Upgradeable.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.4.0) (utils/introspection/ERC165.sol)\n\npragma solidity ^0.8.20;\n\nimport {IERC165} from \"@openzeppelin/contracts/utils/introspection/IERC165.sol\";\nimport {Initializable} from \"../../proxy/utils/Initializable.sol\";\n\n/**\n * @dev Implementation of the {IERC165} interface.\n *\n * Contracts that want to implement ERC-165 should inherit from this contract and override {supportsInterface} to check\n * for the additional interface id that will be supported. For example:\n *\n * ```solidity\n * function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {\n *     return interfaceId == type(MyInterface).interfaceId || super.supportsInterface(interfaceId);\n * }\n * ```\n */\nabstract contract ERC165Upgradeable is Initializable, IERC165 {\n    function __ERC165_init() internal onlyInitializing {\n    }\n\n    function __ERC165_init_unchained() internal onlyInitializing {\n    }\n    /// @inheritdoc IERC165\n    function supportsInterface(bytes4 interfaceId) public view virtual returns (bool) {\n        return interfaceId == type(IERC165).interfaceId;\n    }\n}\n"},"@openzeppelin/contracts-upgradeable/utils/NoncesUpgradeable.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.0.0) (utils/Nonces.sol)\npragma solidity ^0.8.20;\nimport {Initializable} from \"../proxy/utils/Initializable.sol\";\n\n/**\n * @dev Provides tracking nonces for addresses. Nonces will only increment.\n */\nabstract contract NoncesUpgradeable is Initializable {\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    /// @custom:storage-location erc7201:openzeppelin.storage.Nonces\n    struct NoncesStorage {\n        mapping(address account => uint256) _nonces;\n    }\n\n    // keccak256(abi.encode(uint256(keccak256(\"openzeppelin.storage.Nonces\")) - 1)) & ~bytes32(uint256(0xff))\n    bytes32 private constant NoncesStorageLocation = 0x5ab42ced628888259c08ac98db1eb0cf702fc1501344311d8b100cd1bfe4bb00;\n\n    function _getNoncesStorage() private pure returns (NoncesStorage storage $) {\n        assembly {\n            $.slot := NoncesStorageLocation\n        }\n    }\n\n    function __Nonces_init() internal onlyInitializing {\n    }\n\n    function __Nonces_init_unchained() internal onlyInitializing {\n    }\n    /**\n     * @dev Returns the next unused nonce for an address.\n     */\n    function nonces(address owner) public view virtual returns (uint256) {\n        NoncesStorage storage $ = _getNoncesStorage();\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        NoncesStorage storage $ = _getNoncesStorage();\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"},"@openzeppelin/contracts-upgradeable/utils/PausableUpgradeable.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.3.0) (utils/Pausable.sol)\n\npragma solidity ^0.8.20;\n\nimport {ContextUpgradeable} from \"../utils/ContextUpgradeable.sol\";\nimport {Initializable} from \"../proxy/utils/Initializable.sol\";\n\n/**\n * @dev Contract module which allows children to implement an emergency stop\n * mechanism that can be triggered by an authorized account.\n *\n * This module is used through inheritance. It will make available the\n * modifiers `whenNotPaused` and `whenPaused`, which can be applied to\n * the functions of your contract. Note that they will not be pausable by\n * simply including this module, only once the modifiers are put in place.\n */\nabstract contract PausableUpgradeable is Initializable, ContextUpgradeable {\n    /// @custom:storage-location erc7201:openzeppelin.storage.Pausable\n    struct PausableStorage {\n        bool _paused;\n    }\n\n    // keccak256(abi.encode(uint256(keccak256(\"openzeppelin.storage.Pausable\")) - 1)) & ~bytes32(uint256(0xff))\n    bytes32 private constant PausableStorageLocation = 0xcd5ed15c6e187e77e9aee88184c21f4f2182ab5827cb3b7e07fbedcd63f03300;\n\n    function _getPausableStorage() private pure returns (PausableStorage storage $) {\n        assembly {\n            $.slot := PausableStorageLocation\n        }\n    }\n\n    /**\n     * @dev Emitted when the pause is triggered by `account`.\n     */\n    event Paused(address account);\n\n    /**\n     * @dev Emitted when the pause is lifted by `account`.\n     */\n    event Unpaused(address account);\n\n    /**\n     * @dev The operation failed because the contract is paused.\n     */\n    error EnforcedPause();\n\n    /**\n     * @dev The operation failed because the contract is not paused.\n     */\n    error ExpectedPause();\n\n    /**\n     * @dev Modifier to make a function callable only when the contract is not paused.\n     *\n     * Requirements:\n     *\n     * - The contract must not be paused.\n     */\n    modifier whenNotPaused() {\n        _requireNotPaused();\n        _;\n    }\n\n    /**\n     * @dev Modifier to make a function callable only when the contract is paused.\n     *\n     * Requirements:\n     *\n     * - The contract must be paused.\n     */\n    modifier whenPaused() {\n        _requirePaused();\n        _;\n    }\n\n    function __Pausable_init() internal onlyInitializing {\n    }\n\n    function __Pausable_init_unchained() internal onlyInitializing {\n    }\n    /**\n     * @dev Returns true if the contract is paused, and false otherwise.\n     */\n    function paused() public view virtual returns (bool) {\n        PausableStorage storage $ = _getPausableStorage();\n        return $._paused;\n    }\n\n    /**\n     * @dev Throws if the contract is paused.\n     */\n    function _requireNotPaused() internal view virtual {\n        if (paused()) {\n            revert EnforcedPause();\n        }\n    }\n\n    /**\n     * @dev Throws if the contract is not paused.\n     */\n    function _requirePaused() internal view virtual {\n        if (!paused()) {\n            revert ExpectedPause();\n        }\n    }\n\n    /**\n     * @dev Triggers stopped state.\n     *\n     * Requirements:\n     *\n     * - The contract must not be paused.\n     */\n    function _pause() internal virtual whenNotPaused {\n        PausableStorage storage $ = _getPausableStorage();\n        $._paused = true;\n        emit Paused(_msgSender());\n    }\n\n    /**\n     * @dev Returns to normal state.\n     *\n     * Requirements:\n     *\n     * - The contract must be paused.\n     */\n    function _unpause() internal virtual whenPaused {\n        PausableStorage storage $ = _getPausableStorage();\n        $._paused = false;\n        emit Unpaused(_msgSender());\n    }\n}\n"},"@openzeppelin/contracts-upgradeable/utils/ReentrancyGuardUpgradeable.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.1.0) (utils/ReentrancyGuard.sol)\n\npragma solidity ^0.8.20;\nimport {Initializable} from \"../proxy/utils/Initializable.sol\";\n\n/**\n * @dev Contract module that helps prevent reentrant calls to a function.\n *\n * Inheriting from `ReentrancyGuard` will make the {nonReentrant} modifier\n * available, which can be applied to functions to make sure there are no nested\n * (reentrant) calls to them.\n *\n * Note that because there is a single `nonReentrant` guard, functions marked as\n * `nonReentrant` may not call one another. This can be worked around by making\n * those functions `private`, and then adding `external` `nonReentrant` entry\n * points to them.\n *\n * TIP: If EIP-1153 (transient storage) is available on the chain you're deploying at,\n * consider using {ReentrancyGuardTransient} instead.\n *\n * TIP: If you would like to learn more about reentrancy and alternative ways\n * to protect against it, check out our blog post\n * https://blog.openzeppelin.com/reentrancy-after-istanbul/[Reentrancy After Istanbul].\n */\nabstract contract ReentrancyGuardUpgradeable is Initializable {\n    // Booleans are more expensive than uint256 or any type that takes up a full\n    // word because each write operation emits an extra SLOAD to first read the\n    // slot's contents, replace the bits taken up by the boolean, and then write\n    // back. This is the compiler's defense against contract upgrades and\n    // pointer aliasing, and it cannot be disabled.\n\n    // The values being non-zero value makes deployment a bit more expensive,\n    // but in exchange the refund on every call to nonReentrant will be lower in\n    // amount. Since refunds are capped to a percentage of the total\n    // transaction's gas, it is best to keep them low in cases like this one, to\n    // increase the likelihood of the full refund coming into effect.\n    uint256 private constant NOT_ENTERED = 1;\n    uint256 private constant ENTERED = 2;\n\n    /// @custom:storage-location erc7201:openzeppelin.storage.ReentrancyGuard\n    struct ReentrancyGuardStorage {\n        uint256 _status;\n    }\n\n    // keccak256(abi.encode(uint256(keccak256(\"openzeppelin.storage.ReentrancyGuard\")) - 1)) & ~bytes32(uint256(0xff))\n    bytes32 private constant ReentrancyGuardStorageLocation = 0x9b779b17422d0df92223018b32b4d1fa46e071723d6817e2486d003becc55f00;\n\n    function _getReentrancyGuardStorage() private pure returns (ReentrancyGuardStorage storage $) {\n        assembly {\n            $.slot := ReentrancyGuardStorageLocation\n        }\n    }\n\n    /**\n     * @dev Unauthorized reentrant call.\n     */\n    error ReentrancyGuardReentrantCall();\n\n    function __ReentrancyGuard_init() internal onlyInitializing {\n        __ReentrancyGuard_init_unchained();\n    }\n\n    function __ReentrancyGuard_init_unchained() internal onlyInitializing {\n        ReentrancyGuardStorage storage $ = _getReentrancyGuardStorage();\n        $._status = NOT_ENTERED;\n    }\n\n    /**\n     * @dev Prevents a contract from calling itself, directly or indirectly.\n     * Calling a `nonReentrant` function from another `nonReentrant`\n     * function is not supported. It is possible to prevent this from happening\n     * by making the `nonReentrant` function external, and making it call a\n     * `private` function that does the actual work.\n     */\n    modifier nonReentrant() {\n        _nonReentrantBefore();\n        _;\n        _nonReentrantAfter();\n    }\n\n    function _nonReentrantBefore() private {\n        ReentrancyGuardStorage storage $ = _getReentrancyGuardStorage();\n        // On the first call to nonReentrant, _status will be NOT_ENTERED\n        if ($._status == ENTERED) {\n            revert ReentrancyGuardReentrantCall();\n        }\n\n        // Any calls to nonReentrant after this point will fail\n        $._status = ENTERED;\n    }\n\n    function _nonReentrantAfter() private {\n        ReentrancyGuardStorage storage $ = _getReentrancyGuardStorage();\n        // By storing the original value once again, a refund is triggered (see\n        // https://eips.ethereum.org/EIPS/eip-2200)\n        $._status = NOT_ENTERED;\n    }\n\n    /**\n     * @dev Returns true if the reentrancy guard is currently set to \"entered\", which indicates there is a\n     * `nonReentrant` function in the call stack.\n     */\n    function _reentrancyGuardEntered() internal view returns (bool) {\n        ReentrancyGuardStorage storage $ = _getReentrancyGuardStorage();\n        return $._status == ENTERED;\n    }\n}\n"},"@openzeppelin/contracts/access/Ownable.sol":{"content":"// 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"},"@openzeppelin/contracts/interfaces/draft-IERC1822.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.4.0) (interfaces/draft-IERC1822.sol)\n\npragma solidity >=0.4.16;\n\n/**\n * @dev ERC-1822: Universal Upgradeable Proxy Standard (UUPS) documents a method for upgradeability through a simplified\n * proxy whose upgrades are fully controlled by the current implementation.\n */\ninterface IERC1822Proxiable {\n    /**\n     * @dev Returns the storage slot that the proxiable contract assumes is being used to store the implementation\n     * address.\n     *\n     * IMPORTANT: A proxy pointing at a proxiable contract should not be considered proxiable itself, because this risks\n     * bricking a proxy that upgrades to it, by delegating to itself until out of gas. Thus it is critical that this\n     * function revert if invoked through a proxy.\n     */\n    function proxiableUUID() external view returns (bytes32);\n}\n"},"@openzeppelin/contracts/interfaces/draft-IERC6093.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.4.0) (interfaces/draft-IERC6093.sol)\npragma solidity >=0.8.4;\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"},"@openzeppelin/contracts/interfaces/IERC1363.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.4.0) (interfaces/IERC1363.sol)\n\npragma solidity >=0.6.2;\n\nimport {IERC20} from \"./IERC20.sol\";\nimport {IERC165} from \"./IERC165.sol\";\n\n/**\n * @title IERC1363\n * @dev Interface of the ERC-1363 standard as defined in the https://eips.ethereum.org/EIPS/eip-1363[ERC-1363].\n *\n * Defines an extension interface for ERC-20 tokens that supports executing code on a recipient contract\n * after `transfer` or `transferFrom`, or code on a spender contract after `approve`, in a single transaction.\n */\ninterface IERC1363 is IERC20, IERC165 {\n    /*\n     * Note: the ERC-165 identifier for this interface is 0xb0202a11.\n     * 0xb0202a11 ===\n     *   bytes4(keccak256('transferAndCall(address,uint256)')) ^\n     *   bytes4(keccak256('transferAndCall(address,uint256,bytes)')) ^\n     *   bytes4(keccak256('transferFromAndCall(address,address,uint256)')) ^\n     *   bytes4(keccak256('transferFromAndCall(address,address,uint256,bytes)')) ^\n     *   bytes4(keccak256('approveAndCall(address,uint256)')) ^\n     *   bytes4(keccak256('approveAndCall(address,uint256,bytes)'))\n     */\n\n    /**\n     * @dev Moves a `value` amount of tokens from the caller's account to `to`\n     * and then calls {IERC1363Receiver-onTransferReceived} on `to`.\n     * @param to The address which you want to transfer to.\n     * @param value The amount of tokens to be transferred.\n     * @return A boolean value indicating whether the operation succeeded unless throwing.\n     */\n    function transferAndCall(address to, uint256 value) external returns (bool);\n\n    /**\n     * @dev Moves a `value` amount of tokens from the caller's account to `to`\n     * and then calls {IERC1363Receiver-onTransferReceived} on `to`.\n     * @param to The address which you want to transfer to.\n     * @param value The amount of tokens to be transferred.\n     * @param data Additional data with no specified format, sent in call to `to`.\n     * @return A boolean value indicating whether the operation succeeded unless throwing.\n     */\n    function transferAndCall(address to, uint256 value, bytes calldata data) external returns (bool);\n\n    /**\n     * @dev Moves a `value` amount of tokens from `from` to `to` using the allowance mechanism\n     * and then calls {IERC1363Receiver-onTransferReceived} on `to`.\n     * @param from The address which you want to send tokens from.\n     * @param to The address which you want to transfer to.\n     * @param value The amount of tokens to be transferred.\n     * @return A boolean value indicating whether the operation succeeded unless throwing.\n     */\n    function transferFromAndCall(address from, address to, uint256 value) external returns (bool);\n\n    /**\n     * @dev Moves a `value` amount of tokens from `from` to `to` using the allowance mechanism\n     * and then calls {IERC1363Receiver-onTransferReceived} on `to`.\n     * @param from The address which you want to send tokens from.\n     * @param to The address which you want to transfer to.\n     * @param value The amount of tokens to be transferred.\n     * @param data Additional data with no specified format, sent in call to `to`.\n     * @return A boolean value indicating whether the operation succeeded unless throwing.\n     */\n    function transferFromAndCall(address from, address to, uint256 value, bytes calldata data) external returns (bool);\n\n    /**\n     * @dev Sets a `value` amount of tokens as the allowance of `spender` over the\n     * caller's tokens and then calls {IERC1363Spender-onApprovalReceived} on `spender`.\n     * @param spender The address which will spend the funds.\n     * @param value The amount of tokens to be spent.\n     * @return A boolean value indicating whether the operation succeeded unless throwing.\n     */\n    function approveAndCall(address spender, uint256 value) external returns (bool);\n\n    /**\n     * @dev Sets a `value` amount of tokens as the allowance of `spender` over the\n     * caller's tokens and then calls {IERC1363Spender-onApprovalReceived} on `spender`.\n     * @param spender The address which will spend the funds.\n     * @param value The amount of tokens to be spent.\n     * @param data Additional data with no specified format, sent in call to `spender`.\n     * @return A boolean value indicating whether the operation succeeded unless throwing.\n     */\n    function approveAndCall(address spender, uint256 value, bytes calldata data) external returns (bool);\n}\n"},"@openzeppelin/contracts/interfaces/IERC165.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.4.0) (interfaces/IERC165.sol)\n\npragma solidity >=0.4.16;\n\nimport {IERC165} from \"../utils/introspection/IERC165.sol\";\n"},"@openzeppelin/contracts/interfaces/IERC20.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.4.0) (interfaces/IERC20.sol)\n\npragma solidity >=0.4.16;\n\nimport {IERC20} from \"../token/ERC20/IERC20.sol\";\n"},"@openzeppelin/contracts/interfaces/IERC5267.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.4.0) (interfaces/IERC5267.sol)\n\npragma solidity >=0.4.16;\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"},"@openzeppelin/contracts/token/ERC20/ERC20.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.4.0) (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     * Both values are immutable: they can only be set once during 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    /// @inheritdoc IERC20\n    function totalSupply() public view virtual returns (uint256) {\n        return _totalSupply;\n    }\n\n    /// @inheritdoc IERC20\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    /// @inheritdoc IERC20\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"},"@openzeppelin/contracts/token/ERC20/extensions/IERC20Metadata.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.4.0) (token/ERC20/extensions/IERC20Metadata.sol)\n\npragma solidity >=0.6.2;\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"},"@openzeppelin/contracts/token/ERC20/extensions/IERC20Permit.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.4.0) (token/ERC20/extensions/IERC20Permit.sol)\n\npragma solidity >=0.4.16;\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"},"@openzeppelin/contracts/token/ERC20/IERC20.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.4.0) (token/ERC20/IERC20.sol)\n\npragma solidity >=0.4.16;\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"},"@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.3.0) (token/ERC20/utils/SafeERC20.sol)\n\npragma solidity ^0.8.20;\n\nimport {IERC20} from \"../IERC20.sol\";\nimport {IERC1363} from \"../../../interfaces/IERC1363.sol\";\n\n/**\n * @title SafeERC20\n * @dev Wrappers around ERC-20 operations that throw on failure (when the token\n * contract returns false). Tokens that return no value (and instead revert or\n * throw on failure) are also supported, non-reverting calls are assumed to be\n * successful.\n * To use this library you can add a `using SafeERC20 for IERC20;` statement to your contract,\n * which allows you to call the safe operations as `token.safeTransfer(...)`, etc.\n */\nlibrary SafeERC20 {\n    /**\n     * @dev An operation with an ERC-20 token failed.\n     */\n    error SafeERC20FailedOperation(address token);\n\n    /**\n     * @dev Indicates a failed `decreaseAllowance` request.\n     */\n    error SafeERC20FailedDecreaseAllowance(address spender, uint256 currentAllowance, uint256 requestedDecrease);\n\n    /**\n     * @dev Transfer `value` amount of `token` from the calling contract to `to`. If `token` returns no value,\n     * non-reverting calls are assumed to be successful.\n     */\n    function safeTransfer(IERC20 token, address to, uint256 value) internal {\n        _callOptionalReturn(token, abi.encodeCall(token.transfer, (to, value)));\n    }\n\n    /**\n     * @dev Transfer `value` amount of `token` from `from` to `to`, spending the approval given by `from` to the\n     * calling contract. If `token` returns no value, non-reverting calls are assumed to be successful.\n     */\n    function safeTransferFrom(IERC20 token, address from, address to, uint256 value) internal {\n        _callOptionalReturn(token, abi.encodeCall(token.transferFrom, (from, to, value)));\n    }\n\n    /**\n     * @dev Variant of {safeTransfer} that returns a bool instead of reverting if the operation is not successful.\n     */\n    function trySafeTransfer(IERC20 token, address to, uint256 value) internal returns (bool) {\n        return _callOptionalReturnBool(token, abi.encodeCall(token.transfer, (to, value)));\n    }\n\n    /**\n     * @dev Variant of {safeTransferFrom} that returns a bool instead of reverting if the operation is not successful.\n     */\n    function trySafeTransferFrom(IERC20 token, address from, address to, uint256 value) internal returns (bool) {\n        return _callOptionalReturnBool(token, abi.encodeCall(token.transferFrom, (from, to, value)));\n    }\n\n    /**\n     * @dev Increase the calling contract's allowance toward `spender` by `value`. If `token` returns no value,\n     * non-reverting calls are assumed to be successful.\n     *\n     * IMPORTANT: If the token implements ERC-7674 (ERC-20 with temporary allowance), and if the \"client\"\n     * smart contract uses ERC-7674 to set temporary allowances, then the \"client\" smart contract should avoid using\n     * this function. Performing a {safeIncreaseAllowance} or {safeDecreaseAllowance} operation on a token contract\n     * that has a non-zero temporary allowance (for that particular owner-spender) will result in unexpected behavior.\n     */\n    function safeIncreaseAllowance(IERC20 token, address spender, uint256 value) internal {\n        uint256 oldAllowance = token.allowance(address(this), spender);\n        forceApprove(token, spender, oldAllowance + value);\n    }\n\n    /**\n     * @dev Decrease the calling contract's allowance toward `spender` by `requestedDecrease`. If `token` returns no\n     * value, non-reverting calls are assumed to be successful.\n     *\n     * IMPORTANT: If the token implements ERC-7674 (ERC-20 with temporary allowance), and if the \"client\"\n     * smart contract uses ERC-7674 to set temporary allowances, then the \"client\" smart contract should avoid using\n     * this function. Performing a {safeIncreaseAllowance} or {safeDecreaseAllowance} operation on a token contract\n     * that has a non-zero temporary allowance (for that particular owner-spender) will result in unexpected behavior.\n     */\n    function safeDecreaseAllowance(IERC20 token, address spender, uint256 requestedDecrease) internal {\n        unchecked {\n            uint256 currentAllowance = token.allowance(address(this), spender);\n            if (currentAllowance < requestedDecrease) {\n                revert SafeERC20FailedDecreaseAllowance(spender, currentAllowance, requestedDecrease);\n            }\n            forceApprove(token, spender, currentAllowance - requestedDecrease);\n        }\n    }\n\n    /**\n     * @dev Set the calling contract's allowance toward `spender` to `value`. If `token` returns no value,\n     * non-reverting calls are assumed to be successful. Meant to be used with tokens that require the approval\n     * to be set to zero before setting it to a non-zero value, such as USDT.\n     *\n     * NOTE: If the token implements ERC-7674, this function will not modify any temporary allowance. This function\n     * only sets the \"standard\" allowance. Any temporary allowance will remain active, in addition to the value being\n     * set here.\n     */\n    function forceApprove(IERC20 token, address spender, uint256 value) internal {\n        bytes memory approvalCall = abi.encodeCall(token.approve, (spender, value));\n\n        if (!_callOptionalReturnBool(token, approvalCall)) {\n            _callOptionalReturn(token, abi.encodeCall(token.approve, (spender, 0)));\n            _callOptionalReturn(token, approvalCall);\n        }\n    }\n\n    /**\n     * @dev Performs an {ERC1363} transferAndCall, with a fallback to the simple {ERC20} transfer if the target has no\n     * code. This can be used to implement an {ERC721}-like safe transfer that rely on {ERC1363} checks when\n     * targeting contracts.\n     *\n     * Reverts if the returned value is other than `true`.\n     */\n    function transferAndCallRelaxed(IERC1363 token, address to, uint256 value, bytes memory data) internal {\n        if (to.code.length == 0) {\n            safeTransfer(token, to, value);\n        } else if (!token.transferAndCall(to, value, data)) {\n            revert SafeERC20FailedOperation(address(token));\n        }\n    }\n\n    /**\n     * @dev Performs an {ERC1363} transferFromAndCall, with a fallback to the simple {ERC20} transferFrom if the target\n     * has no code. This can be used to implement an {ERC721}-like safe transfer that rely on {ERC1363} checks when\n     * targeting contracts.\n     *\n     * Reverts if the returned value is other than `true`.\n     */\n    function transferFromAndCallRelaxed(\n        IERC1363 token,\n        address from,\n        address to,\n        uint256 value,\n        bytes memory data\n    ) internal {\n        if (to.code.length == 0) {\n            safeTransferFrom(token, from, to, value);\n        } else if (!token.transferFromAndCall(from, to, value, data)) {\n            revert SafeERC20FailedOperation(address(token));\n        }\n    }\n\n    /**\n     * @dev Performs an {ERC1363} approveAndCall, with a fallback to the simple {ERC20} approve if the target has no\n     * code. This can be used to implement an {ERC721}-like safe transfer that rely on {ERC1363} checks when\n     * targeting contracts.\n     *\n     * NOTE: When the recipient address (`to`) has no code (i.e. is an EOA), this function behaves as {forceApprove}.\n     * Opposedly, when the recipient address (`to`) has code, this function only attempts to call {ERC1363-approveAndCall}\n     * once without retrying, and relies on the returned value to be true.\n     *\n     * Reverts if the returned value is other than `true`.\n     */\n    function approveAndCallRelaxed(IERC1363 token, address to, uint256 value, bytes memory data) internal {\n        if (to.code.length == 0) {\n            forceApprove(token, to, value);\n        } else if (!token.approveAndCall(to, value, data)) {\n            revert SafeERC20FailedOperation(address(token));\n        }\n    }\n\n    /**\n     * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement\n     * on the return value: the return value is optional (but if data is returned, it must not be false).\n     * @param token The token targeted by the call.\n     * @param data The call data (encoded using abi.encode or one of its variants).\n     *\n     * This is a variant of {_callOptionalReturnBool} that reverts if call fails to meet the requirements.\n     */\n    function _callOptionalReturn(IERC20 token, bytes memory data) private {\n        uint256 returnSize;\n        uint256 returnValue;\n        assembly (\"memory-safe\") {\n            let success := call(gas(), token, 0, add(data, 0x20), mload(data), 0, 0x20)\n            // bubble errors\n            if iszero(success) {\n                let ptr := mload(0x40)\n                returndatacopy(ptr, 0, returndatasize())\n                revert(ptr, returndatasize())\n            }\n            returnSize := returndatasize()\n            returnValue := mload(0)\n        }\n\n        if (returnSize == 0 ? address(token).code.length == 0 : returnValue != 1) {\n            revert SafeERC20FailedOperation(address(token));\n        }\n    }\n\n    /**\n     * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement\n     * on the return value: the return value is optional (but if data is returned, it must not be false).\n     * @param token The token targeted by the call.\n     * @param data The call data (encoded using abi.encode or one of its variants).\n     *\n     * This is a variant of {_callOptionalReturn} that silently catches all reverts and returns a bool instead.\n     */\n    function _callOptionalReturnBool(IERC20 token, bytes memory data) private returns (bool) {\n        bool success;\n        uint256 returnSize;\n        uint256 returnValue;\n        assembly (\"memory-safe\") {\n            success := call(gas(), token, 0, add(data, 0x20), mload(data), 0, 0x20)\n            returnSize := returndatasize()\n            returnValue := mload(0)\n        }\n        return success && (returnSize == 0 ? address(token).code.length > 0 : returnValue == 1);\n    }\n}\n"},"@openzeppelin/contracts/utils/Context.sol":{"content":"// 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"},"@openzeppelin/contracts/utils/cryptography/ECDSA.sol":{"content":"// 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"},"@openzeppelin/contracts/utils/cryptography/MessageHashUtils.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.3.0) (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://ethereum.org/en/developers/docs/apis/json-rpc/#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://ethereum.org/en/developers/docs/apis/json-rpc/#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 Variant of {toDataWithIntendedValidatorHash-address-bytes} optimized for cases where `data` is a bytes32.\n     */\n    function toDataWithIntendedValidatorHash(\n        address validator,\n        bytes32 messageHash\n    ) internal pure returns (bytes32 digest) {\n        assembly (\"memory-safe\") {\n            mstore(0x00, hex\"19_00\")\n            mstore(0x02, shl(96, validator))\n            mstore(0x16, messageHash)\n            digest := keccak256(0x00, 0x36)\n        }\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"},"@openzeppelin/contracts/utils/introspection/IERC165.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.4.0) (utils/introspection/IERC165.sol)\n\npragma solidity >=0.4.16;\n\n/**\n * @dev Interface of the ERC-165 standard, as defined in the\n * https://eips.ethereum.org/EIPS/eip-165[ERC].\n *\n * Implementers can declare support of contract interfaces, which can then be\n * queried by others ({ERC165Checker}).\n *\n * For an implementation, see {ERC165}.\n */\ninterface IERC165 {\n    /**\n     * @dev Returns true if this contract implements the interface defined by\n     * `interfaceId`. See the corresponding\n     * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[ERC section]\n     * to learn more about how these ids are created.\n     *\n     * This function call must use less than 30 000 gas.\n     */\n    function supportsInterface(bytes4 interfaceId) external view returns (bool);\n}\n"},"@openzeppelin/contracts/utils/math/Math.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.3.0) (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 Return the 512-bit addition of two uint256.\n     *\n     * The result is stored in two 256 variables such that sum = high * 2²⁵⁶ + low.\n     */\n    function add512(uint256 a, uint256 b) internal pure returns (uint256 high, uint256 low) {\n        assembly (\"memory-safe\") {\n            low := add(a, b)\n            high := lt(low, a)\n        }\n    }\n\n    /**\n     * @dev Return the 512-bit multiplication of two uint256.\n     *\n     * The result is stored in two 256 variables such that product = high * 2²⁵⁶ + low.\n     */\n    function mul512(uint256 a, uint256 b) internal pure returns (uint256 high, uint256 low) {\n        // 512-bit multiply [high low] = 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 = high * 2²⁵⁶ + low.\n        assembly (\"memory-safe\") {\n            let mm := mulmod(a, b, not(0))\n            low := mul(a, b)\n            high := sub(sub(mm, low), lt(mm, low))\n        }\n    }\n\n    /**\n     * @dev Returns the addition of two unsigned integers, with a 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            success = c >= a;\n            result = c * SafeCast.toUint(success);\n        }\n    }\n\n    /**\n     * @dev Returns the subtraction of two unsigned integers, with a success flag (no overflow).\n     */\n    function trySub(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {\n        unchecked {\n            uint256 c = a - b;\n            success = c <= a;\n            result = c * SafeCast.toUint(success);\n        }\n    }\n\n    /**\n     * @dev Returns the multiplication of two unsigned integers, with a success flag (no overflow).\n     */\n    function tryMul(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {\n        unchecked {\n            uint256 c = a * b;\n            assembly (\"memory-safe\") {\n                // Only true when the multiplication doesn't overflow\n                // (c / a == b) || (a == 0)\n                success := or(eq(div(c, a), b), iszero(a))\n            }\n            // equivalent to: success ? c : 0\n            result = c * SafeCast.toUint(success);\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            success = b > 0;\n            assembly (\"memory-safe\") {\n                // The `DIV` opcode returns zero when the denominator is 0.\n                result := div(a, b)\n            }\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            success = b > 0;\n            assembly (\"memory-safe\") {\n                // The `MOD` opcode returns zero when the denominator is 0.\n                result := mod(a, b)\n            }\n        }\n    }\n\n    /**\n     * @dev Unsigned saturating addition, bounds to `2²⁵⁶ - 1` instead of overflowing.\n     */\n    function saturatingAdd(uint256 a, uint256 b) internal pure returns (uint256) {\n        (bool success, uint256 result) = tryAdd(a, b);\n        return ternary(success, result, type(uint256).max);\n    }\n\n    /**\n     * @dev Unsigned saturating subtraction, bounds to zero instead of overflowing.\n     */\n    function saturatingSub(uint256 a, uint256 b) internal pure returns (uint256) {\n        (, uint256 result) = trySub(a, b);\n        return result;\n    }\n\n    /**\n     * @dev Unsigned saturating multiplication, bounds to `2²⁵⁶ - 1` instead of overflowing.\n     */\n    function saturatingMul(uint256 a, uint256 b) internal pure returns (uint256) {\n        (bool success, uint256 result) = tryMul(a, b);\n        return ternary(success, result, type(uint256).max);\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            (uint256 high, uint256 low) = mul512(x, y);\n\n            // Handle non-overflow cases, 256 by 256 division.\n            if (high == 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 low / denominator;\n            }\n\n            // Make sure the result is less than 2²⁵⁶. Also prevents denominator == 0.\n            if (denominator <= high) {\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 [high low].\n            uint256 remainder;\n            assembly (\"memory-safe\") {\n                // Compute remainder using mulmod.\n                remainder := mulmod(x, y, denominator)\n\n                // Subtract 256 bit number from 512 bit number.\n                high := sub(high, gt(remainder, low))\n                low := sub(low, 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 (\"memory-safe\") {\n                // Divide denominator by twos.\n                denominator := div(denominator, twos)\n\n                // Divide [high low] by twos.\n                low := div(low, 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 high into low.\n            low |= high * 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 high\n            // is no longer required.\n            result = low * 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 Calculates floor(x * y >> n) with full precision. Throws if result overflows a uint256.\n     */\n    function mulShr(uint256 x, uint256 y, uint8 n) internal pure returns (uint256 result) {\n        unchecked {\n            (uint256 high, uint256 low) = mul512(x, y);\n            if (high >= 1 << n) {\n                Panic.panic(Panic.UNDER_OVERFLOW);\n            }\n            return (high << (256 - n)) | (low >> n);\n        }\n    }\n\n    /**\n     * @dev Calculates x * y >> n with full precision, following the selected rounding direction.\n     */\n    function mulShr(uint256 x, uint256 y, uint8 n, Rounding rounding) internal pure returns (uint256) {\n        return mulShr(x, y, n) + SafeCast.toUint(unsignedRoundsUp(rounding) && mulmod(x, y, 1 << n) > 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 x) internal pure returns (uint256 r) {\n        // If value has upper 128 bits set, log2 result is at least 128\n        r = SafeCast.toUint(x > 0xffffffffffffffffffffffffffffffff) << 7;\n        // If upper 64 bits of 128-bit half set, add 64 to result\n        r |= SafeCast.toUint((x >> r) > 0xffffffffffffffff) << 6;\n        // If upper 32 bits of 64-bit half set, add 32 to result\n        r |= SafeCast.toUint((x >> r) > 0xffffffff) << 5;\n        // If upper 16 bits of 32-bit half set, add 16 to result\n        r |= SafeCast.toUint((x >> r) > 0xffff) << 4;\n        // If upper 8 bits of 16-bit half set, add 8 to result\n        r |= SafeCast.toUint((x >> r) > 0xff) << 3;\n        // If upper 4 bits of 8-bit half set, add 4 to result\n        r |= SafeCast.toUint((x >> r) > 0xf) << 2;\n\n        // Shifts value right by the current result and use it as an index into this lookup table:\n        //\n        // | x (4 bits) |  index  | table[index] = MSB position |\n        // |------------|---------|-----------------------------|\n        // |    0000    |    0    |        table[0] = 0         |\n        // |    0001    |    1    |        table[1] = 0         |\n        // |    0010    |    2    |        table[2] = 1         |\n        // |    0011    |    3    |        table[3] = 1         |\n        // |    0100    |    4    |        table[4] = 2         |\n        // |    0101    |    5    |        table[5] = 2         |\n        // |    0110    |    6    |        table[6] = 2         |\n        // |    0111    |    7    |        table[7] = 2         |\n        // |    1000    |    8    |        table[8] = 3         |\n        // |    1001    |    9    |        table[9] = 3         |\n        // |    1010    |   10    |        table[10] = 3        |\n        // |    1011    |   11    |        table[11] = 3        |\n        // |    1100    |   12    |        table[12] = 3        |\n        // |    1101    |   13    |        table[13] = 3        |\n        // |    1110    |   14    |        table[14] = 3        |\n        // |    1111    |   15    |        table[15] = 3        |\n        //\n        // The lookup table is represented as a 32-byte value with the MSB positions for 0-15 in the last 16 bytes.\n        assembly (\"memory-safe\") {\n            r := or(r, byte(shr(r, x), 0x0000010102020202030303030303030300000000000000000000000000000000))\n        }\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 x) internal pure returns (uint256 r) {\n        // If value has upper 128 bits set, log2 result is at least 128\n        r = SafeCast.toUint(x > 0xffffffffffffffffffffffffffffffff) << 7;\n        // If upper 64 bits of 128-bit half set, add 64 to result\n        r |= SafeCast.toUint((x >> r) > 0xffffffffffffffff) << 6;\n        // If upper 32 bits of 64-bit half set, add 32 to result\n        r |= SafeCast.toUint((x >> r) > 0xffffffff) << 5;\n        // If upper 16 bits of 32-bit half set, add 16 to result\n        r |= SafeCast.toUint((x >> r) > 0xffff) << 4;\n        // Add 1 if upper 8 bits of 16-bit half set, and divide accumulated result by 8\n        return (r >> 3) | SafeCast.toUint((x >> r) > 0xff);\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"},"@openzeppelin/contracts/utils/math/SafeCast.sol":{"content":"// 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"},"@openzeppelin/contracts/utils/math/SignedMath.sol":{"content":"// 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    }\n}\n"},"@openzeppelin/contracts/utils/Panic.sol":{"content":"// 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"},"@openzeppelin/contracts/utils/Strings.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.4.0) (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    uint256 private constant SPECIAL_CHARS_LOOKUP =\n        (1 << 0x08) | // backspace\n            (1 << 0x09) | // tab\n            (1 << 0x0a) | // newline\n            (1 << 0x0c) | // form feed\n            (1 << 0x0d) | // carriage return\n            (1 << 0x22) | // double quote\n            (1 << 0x5c); // backslash\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(add(buffer, 0x20), 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-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 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-string-uint256-uint256} 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-string-uint256-uint256} 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-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 `(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-string-uint256-uint256} 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 guarantees 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-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 `(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-string} 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-string-uint256-uint256} 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 Escape special characters in JSON strings. This can be useful to prevent JSON injection in NFT metadata.\n     *\n     * WARNING: This function should only be used in double quoted JSON strings. Single quotes are not escaped.\n     *\n     * NOTE: This function escapes all unicode characters, and not just the ones in ranges defined in section 2.5 of\n     * RFC-4627 (U+0000 to U+001F, U+0022 and U+005C). ECMAScript's `JSON.parse` does recover escaped unicode\n     * characters that are not in this range, but other tooling may provide different results.\n     */\n    function escapeJSON(string memory input) internal pure returns (string memory) {\n        bytes memory buffer = bytes(input);\n        bytes memory output = new bytes(2 * buffer.length); // worst case scenario\n        uint256 outputLength = 0;\n\n        for (uint256 i; i < buffer.length; ++i) {\n            bytes1 char = bytes1(_unsafeReadBytesOffset(buffer, i));\n            if (((SPECIAL_CHARS_LOOKUP & (1 << uint8(char))) != 0)) {\n                output[outputLength++] = \"\\\\\";\n                if (char == 0x08) output[outputLength++] = \"b\";\n                else if (char == 0x09) output[outputLength++] = \"t\";\n                else if (char == 0x0a) output[outputLength++] = \"n\";\n                else if (char == 0x0c) output[outputLength++] = \"f\";\n                else if (char == 0x0d) output[outputLength++] = \"r\";\n                else if (char == 0x5c) output[outputLength++] = \"\\\\\";\n                else if (char == 0x22) {\n                    // solhint-disable-next-line quotes\n                    output[outputLength++] = '\"';\n                }\n            } else {\n                output[outputLength++] = char;\n            }\n        }\n        // write the actual length and deallocate unused memory\n        assembly (\"memory-safe\") {\n            mstore(output, outputLength)\n            mstore(0x40, add(output, shl(5, shr(5, add(outputLength, 63)))))\n        }\n\n        return string(output);\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(add(buffer, 0x20), offset))\n        }\n    }\n}\n"},"@prb/math/src/Common.sol":{"content":"// SPDX-License-Identifier: MIT\npragma solidity >=0.8.19;\n\n// Common.sol\n//\n// Common mathematical functions used in both SD59x18 and UD60x18. Note that these global functions do not\n// always operate with SD59x18 and UD60x18 numbers.\n\n/*//////////////////////////////////////////////////////////////////////////\n                                CUSTOM ERRORS\n//////////////////////////////////////////////////////////////////////////*/\n\n/// @notice Thrown when the resultant value in {mulDiv} overflows uint256.\nerror PRBMath_MulDiv_Overflow(uint256 x, uint256 y, uint256 denominator);\n\n/// @notice Thrown when the resultant value in {mulDiv18} overflows uint256.\nerror PRBMath_MulDiv18_Overflow(uint256 x, uint256 y);\n\n/// @notice Thrown when one of the inputs passed to {mulDivSigned} is `type(int256).min`.\nerror PRBMath_MulDivSigned_InputTooSmall();\n\n/// @notice Thrown when the resultant value in {mulDivSigned} overflows int256.\nerror PRBMath_MulDivSigned_Overflow(int256 x, int256 y);\n\n/*//////////////////////////////////////////////////////////////////////////\n                                    CONSTANTS\n//////////////////////////////////////////////////////////////////////////*/\n\n/// @dev The maximum value a uint128 number can have.\nuint128 constant MAX_UINT128 = type(uint128).max;\n\n/// @dev The maximum value a uint40 number can have.\nuint40 constant MAX_UINT40 = type(uint40).max;\n\n/// @dev The maximum value a uint64 number can have.\nuint64 constant MAX_UINT64 = type(uint64).max;\n\n/// @dev The unit number, which the decimal precision of the fixed-point types.\nuint256 constant UNIT = 1e18;\n\n/// @dev The unit number inverted mod 2^256.\nuint256 constant UNIT_INVERSE = 78156646155174841979727994598816262306175212592076161876661_508869554232690281;\n\n/// @dev The the largest power of two that divides the decimal value of `UNIT`. The logarithm of this value is the least significant\n/// bit in the binary representation of `UNIT`.\nuint256 constant UNIT_LPOTD = 262144;\n\n/*//////////////////////////////////////////////////////////////////////////\n                                    FUNCTIONS\n//////////////////////////////////////////////////////////////////////////*/\n\n/// @notice Calculates the binary exponent of x using the binary fraction method.\n/// @dev Has to use 192.64-bit fixed-point numbers. See https://ethereum.stackexchange.com/a/96594/24693.\n/// @param x The exponent as an unsigned 192.64-bit fixed-point number.\n/// @return result The result as an unsigned 60.18-decimal fixed-point number.\n/// @custom:smtchecker abstract-function-nondet\nfunction exp2(uint256 x) pure returns (uint256 result) {\n    unchecked {\n        // Start from 0.5 in the 192.64-bit fixed-point format.\n        result = 0x800000000000000000000000000000000000000000000000;\n\n        // The following logic multiplies the result by $\\sqrt{2^{-i}}$ when the bit at position i is 1. Key points:\n        //\n        // 1. Intermediate results will not overflow, as the starting point is 2^191 and all magic factors are under 2^65.\n        // 2. The rationale for organizing the if statements into groups of 8 is gas savings. If the result of performing\n        // a bitwise AND operation between x and any value in the array [0x80; 0x40; 0x20; 0x10; 0x08; 0x04; 0x02; 0x01] is 1,\n        // we know that `x & 0xFF` is also 1.\n        if (x & 0xFF00000000000000 > 0) {\n            if (x & 0x8000000000000000 > 0) {\n                result = (result * 0x16A09E667F3BCC909) >> 64;\n            }\n            if (x & 0x4000000000000000 > 0) {\n                result = (result * 0x1306FE0A31B7152DF) >> 64;\n            }\n            if (x & 0x2000000000000000 > 0) {\n                result = (result * 0x1172B83C7D517ADCE) >> 64;\n            }\n            if (x & 0x1000000000000000 > 0) {\n                result = (result * 0x10B5586CF9890F62A) >> 64;\n            }\n            if (x & 0x800000000000000 > 0) {\n                result = (result * 0x1059B0D31585743AE) >> 64;\n            }\n            if (x & 0x400000000000000 > 0) {\n                result = (result * 0x102C9A3E778060EE7) >> 64;\n            }\n            if (x & 0x200000000000000 > 0) {\n                result = (result * 0x10163DA9FB33356D8) >> 64;\n            }\n            if (x & 0x100000000000000 > 0) {\n                result = (result * 0x100B1AFA5ABCBED61) >> 64;\n            }\n        }\n\n        if (x & 0xFF000000000000 > 0) {\n            if (x & 0x80000000000000 > 0) {\n                result = (result * 0x10058C86DA1C09EA2) >> 64;\n            }\n            if (x & 0x40000000000000 > 0) {\n                result = (result * 0x1002C605E2E8CEC50) >> 64;\n            }\n            if (x & 0x20000000000000 > 0) {\n                result = (result * 0x100162F3904051FA1) >> 64;\n            }\n            if (x & 0x10000000000000 > 0) {\n                result = (result * 0x1000B175EFFDC76BA) >> 64;\n            }\n            if (x & 0x8000000000000 > 0) {\n                result = (result * 0x100058BA01FB9F96D) >> 64;\n            }\n            if (x & 0x4000000000000 > 0) {\n                result = (result * 0x10002C5CC37DA9492) >> 64;\n            }\n            if (x & 0x2000000000000 > 0) {\n                result = (result * 0x1000162E525EE0547) >> 64;\n            }\n            if (x & 0x1000000000000 > 0) {\n                result = (result * 0x10000B17255775C04) >> 64;\n            }\n        }\n\n        if (x & 0xFF0000000000 > 0) {\n            if (x & 0x800000000000 > 0) {\n                result = (result * 0x1000058B91B5BC9AE) >> 64;\n            }\n            if (x & 0x400000000000 > 0) {\n                result = (result * 0x100002C5C89D5EC6D) >> 64;\n            }\n            if (x & 0x200000000000 > 0) {\n                result = (result * 0x10000162E43F4F831) >> 64;\n            }\n            if (x & 0x100000000000 > 0) {\n                result = (result * 0x100000B1721BCFC9A) >> 64;\n            }\n            if (x & 0x80000000000 > 0) {\n                result = (result * 0x10000058B90CF1E6E) >> 64;\n            }\n            if (x & 0x40000000000 > 0) {\n                result = (result * 0x1000002C5C863B73F) >> 64;\n            }\n            if (x & 0x20000000000 > 0) {\n                result = (result * 0x100000162E430E5A2) >> 64;\n            }\n            if (x & 0x10000000000 > 0) {\n                result = (result * 0x1000000B172183551) >> 64;\n            }\n        }\n\n        if (x & 0xFF00000000 > 0) {\n            if (x & 0x8000000000 > 0) {\n                result = (result * 0x100000058B90C0B49) >> 64;\n            }\n            if (x & 0x4000000000 > 0) {\n                result = (result * 0x10000002C5C8601CC) >> 64;\n            }\n            if (x & 0x2000000000 > 0) {\n                result = (result * 0x1000000162E42FFF0) >> 64;\n            }\n            if (x & 0x1000000000 > 0) {\n                result = (result * 0x10000000B17217FBB) >> 64;\n            }\n            if (x & 0x800000000 > 0) {\n                result = (result * 0x1000000058B90BFCE) >> 64;\n            }\n            if (x & 0x400000000 > 0) {\n                result = (result * 0x100000002C5C85FE3) >> 64;\n            }\n            if (x & 0x200000000 > 0) {\n                result = (result * 0x10000000162E42FF1) >> 64;\n            }\n            if (x & 0x100000000 > 0) {\n                result = (result * 0x100000000B17217F8) >> 64;\n            }\n        }\n\n        if (x & 0xFF000000 > 0) {\n            if (x & 0x80000000 > 0) {\n                result = (result * 0x10000000058B90BFC) >> 64;\n            }\n            if (x & 0x40000000 > 0) {\n                result = (result * 0x1000000002C5C85FE) >> 64;\n            }\n            if (x & 0x20000000 > 0) {\n                result = (result * 0x100000000162E42FF) >> 64;\n            }\n            if (x & 0x10000000 > 0) {\n                result = (result * 0x1000000000B17217F) >> 64;\n            }\n            if (x & 0x8000000 > 0) {\n                result = (result * 0x100000000058B90C0) >> 64;\n            }\n            if (x & 0x4000000 > 0) {\n                result = (result * 0x10000000002C5C860) >> 64;\n            }\n            if (x & 0x2000000 > 0) {\n                result = (result * 0x1000000000162E430) >> 64;\n            }\n            if (x & 0x1000000 > 0) {\n                result = (result * 0x10000000000B17218) >> 64;\n            }\n        }\n\n        if (x & 0xFF0000 > 0) {\n            if (x & 0x800000 > 0) {\n                result = (result * 0x1000000000058B90C) >> 64;\n            }\n            if (x & 0x400000 > 0) {\n                result = (result * 0x100000000002C5C86) >> 64;\n            }\n            if (x & 0x200000 > 0) {\n                result = (result * 0x10000000000162E43) >> 64;\n            }\n            if (x & 0x100000 > 0) {\n                result = (result * 0x100000000000B1721) >> 64;\n            }\n            if (x & 0x80000 > 0) {\n                result = (result * 0x10000000000058B91) >> 64;\n            }\n            if (x & 0x40000 > 0) {\n                result = (result * 0x1000000000002C5C8) >> 64;\n            }\n            if (x & 0x20000 > 0) {\n                result = (result * 0x100000000000162E4) >> 64;\n            }\n            if (x & 0x10000 > 0) {\n                result = (result * 0x1000000000000B172) >> 64;\n            }\n        }\n\n        if (x & 0xFF00 > 0) {\n            if (x & 0x8000 > 0) {\n                result = (result * 0x100000000000058B9) >> 64;\n            }\n            if (x & 0x4000 > 0) {\n                result = (result * 0x10000000000002C5D) >> 64;\n            }\n            if (x & 0x2000 > 0) {\n                result = (result * 0x1000000000000162E) >> 64;\n            }\n            if (x & 0x1000 > 0) {\n                result = (result * 0x10000000000000B17) >> 64;\n            }\n            if (x & 0x800 > 0) {\n                result = (result * 0x1000000000000058C) >> 64;\n            }\n            if (x & 0x400 > 0) {\n                result = (result * 0x100000000000002C6) >> 64;\n            }\n            if (x & 0x200 > 0) {\n                result = (result * 0x10000000000000163) >> 64;\n            }\n            if (x & 0x100 > 0) {\n                result = (result * 0x100000000000000B1) >> 64;\n            }\n        }\n\n        if (x & 0xFF > 0) {\n            if (x & 0x80 > 0) {\n                result = (result * 0x10000000000000059) >> 64;\n            }\n            if (x & 0x40 > 0) {\n                result = (result * 0x1000000000000002C) >> 64;\n            }\n            if (x & 0x20 > 0) {\n                result = (result * 0x10000000000000016) >> 64;\n            }\n            if (x & 0x10 > 0) {\n                result = (result * 0x1000000000000000B) >> 64;\n            }\n            if (x & 0x8 > 0) {\n                result = (result * 0x10000000000000006) >> 64;\n            }\n            if (x & 0x4 > 0) {\n                result = (result * 0x10000000000000003) >> 64;\n            }\n            if (x & 0x2 > 0) {\n                result = (result * 0x10000000000000001) >> 64;\n            }\n            if (x & 0x1 > 0) {\n                result = (result * 0x10000000000000001) >> 64;\n            }\n        }\n\n        // In the code snippet below, two operations are executed simultaneously:\n        //\n        // 1. The result is multiplied by $(2^n + 1)$, where $2^n$ represents the integer part, and the additional 1\n        // accounts for the initial guess of 0.5. This is achieved by subtracting from 191 instead of 192.\n        // 2. The result is then converted to an unsigned 60.18-decimal fixed-point format.\n        //\n        // The underlying logic is based on the relationship $2^{191-ip} = 2^{ip} / 2^{191}$, where $ip$ denotes the,\n        // integer part, $2^n$.\n        result *= UNIT;\n        result >>= (191 - (x >> 64));\n    }\n}\n\n/// @notice Finds the zero-based index of the first 1 in the binary representation of x.\n///\n/// @dev See the note on \"msb\" in this Wikipedia article: https://en.wikipedia.org/wiki/Find_first_set\n///\n/// Each step in this implementation is equivalent to this high-level code:\n///\n/// ```solidity\n/// if (x >= 2 ** 128) {\n///     x >>= 128;\n///     result += 128;\n/// }\n/// ```\n///\n/// Where 128 is replaced with each respective power of two factor. See the full high-level implementation here:\n/// https://gist.github.com/PaulRBerg/f932f8693f2733e30c4d479e8e980948\n///\n/// The Yul instructions used below are:\n///\n/// - \"gt\" is \"greater than\"\n/// - \"or\" is the OR bitwise operator\n/// - \"shl\" is \"shift left\"\n/// - \"shr\" is \"shift right\"\n///\n/// @param x The uint256 number for which to find the index of the most significant bit.\n/// @return result The index of the most significant bit as a uint256.\n/// @custom:smtchecker abstract-function-nondet\nfunction msb(uint256 x) pure returns (uint256 result) {\n    // 2^128\n    assembly (\"memory-safe\") {\n        let factor := shl(7, gt(x, 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF))\n        x := shr(factor, x)\n        result := or(result, factor)\n    }\n    // 2^64\n    assembly (\"memory-safe\") {\n        let factor := shl(6, gt(x, 0xFFFFFFFFFFFFFFFF))\n        x := shr(factor, x)\n        result := or(result, factor)\n    }\n    // 2^32\n    assembly (\"memory-safe\") {\n        let factor := shl(5, gt(x, 0xFFFFFFFF))\n        x := shr(factor, x)\n        result := or(result, factor)\n    }\n    // 2^16\n    assembly (\"memory-safe\") {\n        let factor := shl(4, gt(x, 0xFFFF))\n        x := shr(factor, x)\n        result := or(result, factor)\n    }\n    // 2^8\n    assembly (\"memory-safe\") {\n        let factor := shl(3, gt(x, 0xFF))\n        x := shr(factor, x)\n        result := or(result, factor)\n    }\n    // 2^4\n    assembly (\"memory-safe\") {\n        let factor := shl(2, gt(x, 0xF))\n        x := shr(factor, x)\n        result := or(result, factor)\n    }\n    // 2^2\n    assembly (\"memory-safe\") {\n        let factor := shl(1, gt(x, 0x3))\n        x := shr(factor, x)\n        result := or(result, factor)\n    }\n    // 2^1\n    // No need to shift x any more.\n    assembly (\"memory-safe\") {\n        let factor := gt(x, 0x1)\n        result := or(result, factor)\n    }\n}\n\n/// @notice Calculates x*y÷denominator with 512-bit precision.\n///\n/// @dev Credits to Remco Bloemen under MIT license https://xn--2-umb.com/21/muldiv.\n///\n/// Notes:\n/// - The result is rounded toward zero.\n///\n/// Requirements:\n/// - The denominator must not be zero.\n/// - The result must fit in uint256.\n///\n/// @param x The multiplicand as a uint256.\n/// @param y The multiplier as a uint256.\n/// @param denominator The divisor as a uint256.\n/// @return result The result as a uint256.\n/// @custom:smtchecker abstract-function-nondet\nfunction mulDiv(uint256 x, uint256 y, uint256 denominator) pure returns (uint256 result) {\n    // 512-bit multiply [prod1 prod0] = x * y. Compute the product mod 2^256 and mod 2^256 - 1, then use\n    // use the Chinese Remainder Theorem to reconstruct the 512-bit result. The result is stored in two 256\n    // variables such that product = prod1 * 2^256 + prod0.\n    uint256 prod0; // Least significant 256 bits of the product\n    uint256 prod1; // Most significant 256 bits of the product\n    assembly (\"memory-safe\") {\n        let mm := mulmod(x, y, not(0))\n        prod0 := mul(x, y)\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        unchecked {\n            return prod0 / denominator;\n        }\n    }\n\n    // Make sure the result is less than 2^256. Also prevents denominator == 0.\n    if (prod1 >= denominator) {\n        revert PRBMath_MulDiv_Overflow(x, y, denominator);\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 (\"memory-safe\") {\n        // Compute remainder using the mulmod Yul instruction.\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    unchecked {\n        // Calculate the largest power of two divisor of the denominator using the unary operator ~. This operation cannot overflow\n        // because the denominator cannot be zero at this point in the function execution. The result is always >= 1.\n        // For more detail, see https://cs.stackexchange.com/q/138556/92363.\n        uint256 lpotdod = denominator & (~denominator + 1);\n        uint256 flippedLpotdod;\n\n        assembly (\"memory-safe\") {\n            // Factor powers of two out of denominator.\n            denominator := div(denominator, lpotdod)\n\n            // Divide [prod1 prod0] by lpotdod.\n            prod0 := div(prod0, lpotdod)\n\n            // Get the flipped value `2^256 / lpotdod`. If the `lpotdod` is zero, the flipped value is one.\n            // `sub(0, lpotdod)` produces the two's complement version of `lpotdod`, which is equivalent to flipping all the bits.\n            // However, `div` interprets this value as an unsigned value: https://ethereum.stackexchange.com/q/147168/24693\n            flippedLpotdod := add(div(sub(0, lpotdod), lpotdod), 1)\n        }\n\n        // Shift in bits from prod1 into prod0.\n        prod0 |= prod1 * flippedLpotdod;\n\n        // Invert denominator mod 2^256. Now that denominator is an odd number, it has an inverse modulo 2^256 such\n        // that denominator * inv = 1 mod 2^256. Compute the inverse by starting with a seed that is correct for\n        // four bits. That is, denominator * inv = 1 mod 2^4.\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 works\n        // in modular arithmetic, doubling the correct bits in each step.\n        inverse *= 2 - denominator * inverse; // inverse mod 2^8\n        inverse *= 2 - denominator * inverse; // inverse mod 2^16\n        inverse *= 2 - denominator * inverse; // inverse mod 2^32\n        inverse *= 2 - denominator * inverse; // inverse mod 2^64\n        inverse *= 2 - denominator * inverse; // inverse mod 2^128\n        inverse *= 2 - denominator * inverse; // inverse mod 2^256\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 2^256. Since the preconditions guarantee that the outcome is\n        // less than 2^256, 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    }\n}\n\n/// @notice Calculates x*y÷1e18 with 512-bit precision.\n///\n/// @dev A variant of {mulDiv} with constant folding, i.e. in which the denominator is hard coded to 1e18.\n///\n/// Notes:\n/// - The body is purposely left uncommented; to understand how this works, see the documentation in {mulDiv}.\n/// - The result is rounded toward zero.\n/// - We take as an axiom that the result cannot be `MAX_UINT256` when x and y solve the following system of equations:\n///\n/// $$\n/// \\begin{cases}\n///     x * y = MAX\\_UINT256 * UNIT \\\\\n///     (x * y) \\% UNIT \\geq \\frac{UNIT}{2}\n/// \\end{cases}\n/// $$\n///\n/// Requirements:\n/// - Refer to the requirements in {mulDiv}.\n/// - The result must fit in uint256.\n///\n/// @param x The multiplicand as an unsigned 60.18-decimal fixed-point number.\n/// @param y The multiplier as an unsigned 60.18-decimal fixed-point number.\n/// @return result The result as an unsigned 60.18-decimal fixed-point number.\n/// @custom:smtchecker abstract-function-nondet\nfunction mulDiv18(uint256 x, uint256 y) pure returns (uint256 result) {\n    uint256 prod0;\n    uint256 prod1;\n    assembly (\"memory-safe\") {\n        let mm := mulmod(x, y, not(0))\n        prod0 := mul(x, y)\n        prod1 := sub(sub(mm, prod0), lt(mm, prod0))\n    }\n\n    if (prod1 == 0) {\n        unchecked {\n            return prod0 / UNIT;\n        }\n    }\n\n    if (prod1 >= UNIT) {\n        revert PRBMath_MulDiv18_Overflow(x, y);\n    }\n\n    uint256 remainder;\n    assembly (\"memory-safe\") {\n        remainder := mulmod(x, y, UNIT)\n        result :=\n            mul(\n                or(\n                    div(sub(prod0, remainder), UNIT_LPOTD),\n                    mul(sub(prod1, gt(remainder, prod0)), add(div(sub(0, UNIT_LPOTD), UNIT_LPOTD), 1))\n                ),\n                UNIT_INVERSE\n            )\n    }\n}\n\n/// @notice Calculates x*y÷denominator with 512-bit precision.\n///\n/// @dev This is an extension of {mulDiv} for signed numbers, which works by computing the signs and the absolute values separately.\n///\n/// Notes:\n/// - The result is rounded toward zero.\n///\n/// Requirements:\n/// - Refer to the requirements in {mulDiv}.\n/// - None of the inputs can be `type(int256).min`.\n/// - The result must fit in int256.\n///\n/// @param x The multiplicand as an int256.\n/// @param y The multiplier as an int256.\n/// @param denominator The divisor as an int256.\n/// @return result The result as an int256.\n/// @custom:smtchecker abstract-function-nondet\nfunction mulDivSigned(int256 x, int256 y, int256 denominator) pure returns (int256 result) {\n    if (x == type(int256).min || y == type(int256).min || denominator == type(int256).min) {\n        revert PRBMath_MulDivSigned_InputTooSmall();\n    }\n\n    // Get hold of the absolute values of x, y and the denominator.\n    uint256 xAbs;\n    uint256 yAbs;\n    uint256 dAbs;\n    unchecked {\n        xAbs = x < 0 ? uint256(-x) : uint256(x);\n        yAbs = y < 0 ? uint256(-y) : uint256(y);\n        dAbs = denominator < 0 ? uint256(-denominator) : uint256(denominator);\n    }\n\n    // Compute the absolute value of x*y÷denominator. The result must fit in int256.\n    uint256 resultAbs = mulDiv(xAbs, yAbs, dAbs);\n    if (resultAbs > uint256(type(int256).max)) {\n        revert PRBMath_MulDivSigned_Overflow(x, y);\n    }\n\n    // Get the signs of x, y and the denominator.\n    uint256 sx;\n    uint256 sy;\n    uint256 sd;\n    assembly (\"memory-safe\") {\n        // \"sgt\" is the \"signed greater than\" assembly instruction and \"sub(0,1)\" is -1 in two's complement.\n        sx := sgt(x, sub(0, 1))\n        sy := sgt(y, sub(0, 1))\n        sd := sgt(denominator, sub(0, 1))\n    }\n\n    // XOR over sx, sy and sd. What this does is to check whether there are 1 or 3 negative signs in the inputs.\n    // If there are, the result should be negative. Otherwise, it should be positive.\n    unchecked {\n        result = sx ^ sy ^ sd == 0 ? -int256(resultAbs) : int256(resultAbs);\n    }\n}\n\n/// @notice Calculates the square root of x using the Babylonian method.\n///\n/// @dev See https://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Babylonian_method.\n///\n/// Notes:\n/// - If x is not a perfect square, the result is rounded down.\n/// - Credits to OpenZeppelin for the explanations in comments below.\n///\n/// @param x The uint256 number for which to calculate the square root.\n/// @return result The result as a uint256.\n/// @custom:smtchecker abstract-function-nondet\nfunction sqrt(uint256 x) pure returns (uint256 result) {\n    if (x == 0) {\n        return 0;\n    }\n\n    // For our first guess, we calculate the biggest power of 2 which is smaller than the square root of x.\n    //\n    // We know that the \"msb\" (most significant bit) of x is a power of 2 such that we have:\n    //\n    // $$\n    // msb(x) <= x <= 2*msb(x)$\n    // $$\n    //\n    // We write $msb(x)$ as $2^k$, and we get:\n    //\n    // $$\n    // k = log_2(x)\n    // $$\n    //\n    // Thus, we can write the initial inequality as:\n    //\n    // $$\n    // 2^{log_2(x)} <= x <= 2*2^{log_2(x)+1} \\\\\n    // sqrt(2^k) <= sqrt(x) < sqrt(2^{k+1}) \\\\\n    // 2^{k/2} <= sqrt(x) < 2^{(k+1)/2} <= 2^{(k/2)+1}\n    // $$\n    //\n    // Consequently, $2^{log_2(x) /2} is a good first approximation of sqrt(x) with at least one correct bit.\n    uint256 xAux = uint256(x);\n    result = 1;\n    if (xAux >= 2 ** 128) {\n        xAux >>= 128;\n        result <<= 64;\n    }\n    if (xAux >= 2 ** 64) {\n        xAux >>= 64;\n        result <<= 32;\n    }\n    if (xAux >= 2 ** 32) {\n        xAux >>= 32;\n        result <<= 16;\n    }\n    if (xAux >= 2 ** 16) {\n        xAux >>= 16;\n        result <<= 8;\n    }\n    if (xAux >= 2 ** 8) {\n        xAux >>= 8;\n        result <<= 4;\n    }\n    if (xAux >= 2 ** 4) {\n        xAux >>= 4;\n        result <<= 2;\n    }\n    if (xAux >= 2 ** 2) {\n        result <<= 1;\n    }\n\n    // At this point, `result` is an estimation with at least one bit of precision. We know the true value has at\n    // most 128 bits, since it is the square root of a uint256. Newton's method converges quadratically (precision\n    // doubles at every iteration). We thus need at most 7 iteration to turn our partial result with one bit of\n    // precision into the expected uint128 result.\n    unchecked {\n        result = (result + x / result) >> 1;\n        result = (result + x / result) >> 1;\n        result = (result + x / result) >> 1;\n        result = (result + x / result) >> 1;\n        result = (result + x / result) >> 1;\n        result = (result + x / result) >> 1;\n        result = (result + x / result) >> 1;\n\n        // If x is not a perfect square, round the result toward zero.\n        uint256 roundedResult = x / result;\n        if (result >= roundedResult) {\n            result = roundedResult;\n        }\n    }\n}\n"},"@prb/math/src/sd1x18/Casting.sol":{"content":"// SPDX-License-Identifier: MIT\npragma solidity >=0.8.19;\n\nimport \"../Common.sol\" as Common;\nimport \"./Errors.sol\" as CastingErrors;\nimport { SD59x18 } from \"../sd59x18/ValueType.sol\";\nimport { UD60x18 } from \"../ud60x18/ValueType.sol\";\nimport { SD1x18 } from \"./ValueType.sol\";\n\n/// @notice Casts an SD1x18 number into SD59x18.\n/// @dev There is no overflow check because SD1x18 ⊆ SD59x18.\nfunction intoSD59x18(SD1x18 x) pure returns (SD59x18 result) {\n    result = SD59x18.wrap(int256(SD1x18.unwrap(x)));\n}\n\n/// @notice Casts an SD1x18 number into UD60x18.\n/// @dev Requirements:\n/// - x ≥ 0\nfunction intoUD60x18(SD1x18 x) pure returns (UD60x18 result) {\n    int64 xInt = SD1x18.unwrap(x);\n    if (xInt < 0) {\n        revert CastingErrors.PRBMath_SD1x18_ToUD60x18_Underflow(x);\n    }\n    result = UD60x18.wrap(uint64(xInt));\n}\n\n/// @notice Casts an SD1x18 number into uint128.\n/// @dev Requirements:\n/// - x ≥ 0\nfunction intoUint128(SD1x18 x) pure returns (uint128 result) {\n    int64 xInt = SD1x18.unwrap(x);\n    if (xInt < 0) {\n        revert CastingErrors.PRBMath_SD1x18_ToUint128_Underflow(x);\n    }\n    result = uint128(uint64(xInt));\n}\n\n/// @notice Casts an SD1x18 number into uint256.\n/// @dev Requirements:\n/// - x ≥ 0\nfunction intoUint256(SD1x18 x) pure returns (uint256 result) {\n    int64 xInt = SD1x18.unwrap(x);\n    if (xInt < 0) {\n        revert CastingErrors.PRBMath_SD1x18_ToUint256_Underflow(x);\n    }\n    result = uint256(uint64(xInt));\n}\n\n/// @notice Casts an SD1x18 number into uint40.\n/// @dev Requirements:\n/// - x ≥ 0\n/// - x ≤ MAX_UINT40\nfunction intoUint40(SD1x18 x) pure returns (uint40 result) {\n    int64 xInt = SD1x18.unwrap(x);\n    if (xInt < 0) {\n        revert CastingErrors.PRBMath_SD1x18_ToUint40_Underflow(x);\n    }\n    if (xInt > int64(uint64(Common.MAX_UINT40))) {\n        revert CastingErrors.PRBMath_SD1x18_ToUint40_Overflow(x);\n    }\n    result = uint40(uint64(xInt));\n}\n\n/// @notice Alias for {wrap}.\nfunction sd1x18(int64 x) pure returns (SD1x18 result) {\n    result = SD1x18.wrap(x);\n}\n\n/// @notice Unwraps an SD1x18 number into int64.\nfunction unwrap(SD1x18 x) pure returns (int64 result) {\n    result = SD1x18.unwrap(x);\n}\n\n/// @notice Wraps an int64 number into SD1x18.\nfunction wrap(int64 x) pure returns (SD1x18 result) {\n    result = SD1x18.wrap(x);\n}\n"},"@prb/math/src/sd1x18/Constants.sol":{"content":"// SPDX-License-Identifier: MIT\npragma solidity >=0.8.19;\n\nimport { SD1x18 } from \"./ValueType.sol\";\n\n/// @dev Euler's number as an SD1x18 number.\nSD1x18 constant E = SD1x18.wrap(2_718281828459045235);\n\n/// @dev The maximum value an SD1x18 number can have.\nint64 constant uMAX_SD1x18 = 9_223372036854775807;\nSD1x18 constant MAX_SD1x18 = SD1x18.wrap(uMAX_SD1x18);\n\n/// @dev The minimum value an SD1x18 number can have.\nint64 constant uMIN_SD1x18 = -9_223372036854775808;\nSD1x18 constant MIN_SD1x18 = SD1x18.wrap(uMIN_SD1x18);\n\n/// @dev PI as an SD1x18 number.\nSD1x18 constant PI = SD1x18.wrap(3_141592653589793238);\n\n/// @dev The unit number, which gives the decimal precision of SD1x18.\nSD1x18 constant UNIT = SD1x18.wrap(1e18);\nint64 constant uUNIT = 1e18;\n"},"@prb/math/src/sd1x18/Errors.sol":{"content":"// SPDX-License-Identifier: MIT\npragma solidity >=0.8.19;\n\nimport { SD1x18 } from \"./ValueType.sol\";\n\n/// @notice Thrown when trying to cast an SD1x18 number that doesn't fit in UD60x18.\nerror PRBMath_SD1x18_ToUD60x18_Underflow(SD1x18 x);\n\n/// @notice Thrown when trying to cast an SD1x18 number that doesn't fit in uint128.\nerror PRBMath_SD1x18_ToUint128_Underflow(SD1x18 x);\n\n/// @notice Thrown when trying to cast an SD1x18 number that doesn't fit in uint256.\nerror PRBMath_SD1x18_ToUint256_Underflow(SD1x18 x);\n\n/// @notice Thrown when trying to cast an SD1x18 number that doesn't fit in uint40.\nerror PRBMath_SD1x18_ToUint40_Overflow(SD1x18 x);\n\n/// @notice Thrown when trying to cast an SD1x18 number that doesn't fit in uint40.\nerror PRBMath_SD1x18_ToUint40_Underflow(SD1x18 x);\n"},"@prb/math/src/sd1x18/ValueType.sol":{"content":"// SPDX-License-Identifier: MIT\npragma solidity >=0.8.19;\n\nimport \"./Casting.sol\" as Casting;\n\n/// @notice The signed 1.18-decimal fixed-point number representation, which can have up to 1 digit and up to 18\n/// decimals. The values of this are bound by the minimum and the maximum values permitted by the underlying Solidity\n/// type int64. This is useful when end users want to use int64 to save gas, e.g. with tight variable packing in contract\n/// storage.\ntype SD1x18 is int64;\n\n/*//////////////////////////////////////////////////////////////////////////\n                                    CASTING\n//////////////////////////////////////////////////////////////////////////*/\n\nusing {\n    Casting.intoSD59x18,\n    Casting.intoUD60x18,\n    Casting.intoUint128,\n    Casting.intoUint256,\n    Casting.intoUint40,\n    Casting.unwrap\n} for SD1x18 global;\n"},"@prb/math/src/sd21x18/Casting.sol":{"content":"// SPDX-License-Identifier: MIT\npragma solidity >=0.8.19;\n\nimport \"../Common.sol\" as Common;\nimport \"./Errors.sol\" as CastingErrors;\nimport { SD59x18 } from \"../sd59x18/ValueType.sol\";\nimport { UD60x18 } from \"../ud60x18/ValueType.sol\";\nimport { SD21x18 } from \"./ValueType.sol\";\n\n/// @notice Casts an SD21x18 number into SD59x18.\n/// @dev There is no overflow check because SD21x18 ⊆ SD59x18.\nfunction intoSD59x18(SD21x18 x) pure returns (SD59x18 result) {\n    result = SD59x18.wrap(int256(SD21x18.unwrap(x)));\n}\n\n/// @notice Casts an SD21x18 number into UD60x18.\n/// @dev Requirements:\n/// - x ≥ 0\nfunction intoUD60x18(SD21x18 x) pure returns (UD60x18 result) {\n    int128 xInt = SD21x18.unwrap(x);\n    if (xInt < 0) {\n        revert CastingErrors.PRBMath_SD21x18_ToUD60x18_Underflow(x);\n    }\n    result = UD60x18.wrap(uint128(xInt));\n}\n\n/// @notice Casts an SD21x18 number into uint128.\n/// @dev Requirements:\n/// - x ≥ 0\nfunction intoUint128(SD21x18 x) pure returns (uint128 result) {\n    int128 xInt = SD21x18.unwrap(x);\n    if (xInt < 0) {\n        revert CastingErrors.PRBMath_SD21x18_ToUint128_Underflow(x);\n    }\n    result = uint128(xInt);\n}\n\n/// @notice Casts an SD21x18 number into uint256.\n/// @dev Requirements:\n/// - x ≥ 0\nfunction intoUint256(SD21x18 x) pure returns (uint256 result) {\n    int128 xInt = SD21x18.unwrap(x);\n    if (xInt < 0) {\n        revert CastingErrors.PRBMath_SD21x18_ToUint256_Underflow(x);\n    }\n    result = uint256(uint128(xInt));\n}\n\n/// @notice Casts an SD21x18 number into uint40.\n/// @dev Requirements:\n/// - x ≥ 0\n/// - x ≤ MAX_UINT40\nfunction intoUint40(SD21x18 x) pure returns (uint40 result) {\n    int128 xInt = SD21x18.unwrap(x);\n    if (xInt < 0) {\n        revert CastingErrors.PRBMath_SD21x18_ToUint40_Underflow(x);\n    }\n    if (xInt > int128(uint128(Common.MAX_UINT40))) {\n        revert CastingErrors.PRBMath_SD21x18_ToUint40_Overflow(x);\n    }\n    result = uint40(uint128(xInt));\n}\n\n/// @notice Alias for {wrap}.\nfunction sd21x18(int128 x) pure returns (SD21x18 result) {\n    result = SD21x18.wrap(x);\n}\n\n/// @notice Unwraps an SD21x18 number into int128.\nfunction unwrap(SD21x18 x) pure returns (int128 result) {\n    result = SD21x18.unwrap(x);\n}\n\n/// @notice Wraps an int128 number into SD21x18.\nfunction wrap(int128 x) pure returns (SD21x18 result) {\n    result = SD21x18.wrap(x);\n}\n"},"@prb/math/src/sd21x18/Constants.sol":{"content":"// SPDX-License-Identifier: MIT\npragma solidity >=0.8.19;\n\nimport { SD21x18 } from \"./ValueType.sol\";\n\n/// @dev Euler's number as an SD21x18 number.\nSD21x18 constant E = SD21x18.wrap(2_718281828459045235);\n\n/// @dev The maximum value an SD21x18 number can have.\nint128 constant uMAX_SD21x18 = 170141183460469231731_687303715884105727;\nSD21x18 constant MAX_SD21x18 = SD21x18.wrap(uMAX_SD21x18);\n\n/// @dev The minimum value an SD21x18 number can have.\nint128 constant uMIN_SD21x18 = -170141183460469231731_687303715884105728;\nSD21x18 constant MIN_SD21x18 = SD21x18.wrap(uMIN_SD21x18);\n\n/// @dev PI as an SD21x18 number.\nSD21x18 constant PI = SD21x18.wrap(3_141592653589793238);\n\n/// @dev The unit number, which gives the decimal precision of SD21x18.\nSD21x18 constant UNIT = SD21x18.wrap(1e18);\nint128 constant uUNIT = 1e18;\n"},"@prb/math/src/sd21x18/Errors.sol":{"content":"// SPDX-License-Identifier: MIT\npragma solidity >=0.8.19;\n\nimport { SD21x18 } from \"./ValueType.sol\";\n\n/// @notice Thrown when trying to cast an SD21x18 number that doesn't fit in uint128.\nerror PRBMath_SD21x18_ToUint128_Underflow(SD21x18 x);\n\n/// @notice Thrown when trying to cast an SD21x18 number that doesn't fit in UD60x18.\nerror PRBMath_SD21x18_ToUD60x18_Underflow(SD21x18 x);\n\n/// @notice Thrown when trying to cast an SD21x18 number that doesn't fit in uint256.\nerror PRBMath_SD21x18_ToUint256_Underflow(SD21x18 x);\n\n/// @notice Thrown when trying to cast an SD21x18 number that doesn't fit in uint40.\nerror PRBMath_SD21x18_ToUint40_Overflow(SD21x18 x);\n\n/// @notice Thrown when trying to cast an SD21x18 number that doesn't fit in uint40.\nerror PRBMath_SD21x18_ToUint40_Underflow(SD21x18 x);\n"},"@prb/math/src/sd21x18/ValueType.sol":{"content":"// SPDX-License-Identifier: MIT\npragma solidity >=0.8.19;\n\nimport \"./Casting.sol\" as Casting;\n\n/// @notice The signed 21.18-decimal fixed-point number representation, which can have up to 21 digits and up to 18\n/// decimals. The values of this are bound by the minimum and the maximum values permitted by the underlying Solidity\n/// type int128. This is useful when end users want to use int128 to save gas, e.g. with tight variable packing in contract\n/// storage.\ntype SD21x18 is int128;\n\n/*//////////////////////////////////////////////////////////////////////////\n                                    CASTING\n//////////////////////////////////////////////////////////////////////////*/\n\nusing {\n    Casting.intoSD59x18,\n    Casting.intoUD60x18,\n    Casting.intoUint128,\n    Casting.intoUint256,\n    Casting.intoUint40,\n    Casting.unwrap\n} for SD21x18 global;\n"},"@prb/math/src/sd59x18/Casting.sol":{"content":"// SPDX-License-Identifier: MIT\npragma solidity >=0.8.19;\n\nimport \"./Errors.sol\" as CastingErrors;\nimport { MAX_UINT128, MAX_UINT40 } from \"../Common.sol\";\nimport { uMAX_SD1x18, uMIN_SD1x18 } from \"../sd1x18/Constants.sol\";\nimport { SD1x18 } from \"../sd1x18/ValueType.sol\";\nimport { uMAX_SD21x18, uMIN_SD21x18 } from \"../sd21x18/Constants.sol\";\nimport { SD21x18 } from \"../sd21x18/ValueType.sol\";\nimport { uMAX_UD2x18 } from \"../ud2x18/Constants.sol\";\nimport { UD2x18 } from \"../ud2x18/ValueType.sol\";\nimport { uMAX_UD21x18 } from \"../ud21x18/Constants.sol\";\nimport { UD21x18 } from \"../ud21x18/ValueType.sol\";\nimport { UD60x18 } from \"../ud60x18/ValueType.sol\";\nimport { SD59x18 } from \"./ValueType.sol\";\n\n/// @notice Casts an SD59x18 number into int256.\n/// @dev This is basically a functional alias for {unwrap}.\nfunction intoInt256(SD59x18 x) pure returns (int256 result) {\n    result = SD59x18.unwrap(x);\n}\n\n/// @notice Casts an SD59x18 number into SD1x18.\n/// @dev Requirements:\n/// - x ≥ uMIN_SD1x18\n/// - x ≤ uMAX_SD1x18\nfunction intoSD1x18(SD59x18 x) pure returns (SD1x18 result) {\n    int256 xInt = SD59x18.unwrap(x);\n    if (xInt < uMIN_SD1x18) {\n        revert CastingErrors.PRBMath_SD59x18_IntoSD1x18_Underflow(x);\n    }\n    if (xInt > uMAX_SD1x18) {\n        revert CastingErrors.PRBMath_SD59x18_IntoSD1x18_Overflow(x);\n    }\n    result = SD1x18.wrap(int64(xInt));\n}\n\n/// @notice Casts an SD59x18 number into SD21x18.\n/// @dev Requirements:\n/// - x ≥ uMIN_SD21x18\n/// - x ≤ uMAX_SD21x18\nfunction intoSD21x18(SD59x18 x) pure returns (SD21x18 result) {\n    int256 xInt = SD59x18.unwrap(x);\n    if (xInt < uMIN_SD21x18) {\n        revert CastingErrors.PRBMath_SD59x18_IntoSD21x18_Underflow(x);\n    }\n    if (xInt > uMAX_SD21x18) {\n        revert CastingErrors.PRBMath_SD59x18_IntoSD21x18_Overflow(x);\n    }\n    result = SD21x18.wrap(int128(xInt));\n}\n\n/// @notice Casts an SD59x18 number into UD2x18.\n/// @dev Requirements:\n/// - x ≥ 0\n/// - x ≤ uMAX_UD2x18\nfunction intoUD2x18(SD59x18 x) pure returns (UD2x18 result) {\n    int256 xInt = SD59x18.unwrap(x);\n    if (xInt < 0) {\n        revert CastingErrors.PRBMath_SD59x18_IntoUD2x18_Underflow(x);\n    }\n    if (xInt > int256(uint256(uMAX_UD2x18))) {\n        revert CastingErrors.PRBMath_SD59x18_IntoUD2x18_Overflow(x);\n    }\n    result = UD2x18.wrap(uint64(uint256(xInt)));\n}\n\n/// @notice Casts an SD59x18 number into UD21x18.\n/// @dev Requirements:\n/// - x ≥ 0\n/// - x ≤ uMAX_UD21x18\nfunction intoUD21x18(SD59x18 x) pure returns (UD21x18 result) {\n    int256 xInt = SD59x18.unwrap(x);\n    if (xInt < 0) {\n        revert CastingErrors.PRBMath_SD59x18_IntoUD21x18_Underflow(x);\n    }\n    if (xInt > int256(uint256(uMAX_UD21x18))) {\n        revert CastingErrors.PRBMath_SD59x18_IntoUD21x18_Overflow(x);\n    }\n    result = UD21x18.wrap(uint128(uint256(xInt)));\n}\n\n/// @notice Casts an SD59x18 number into UD60x18.\n/// @dev Requirements:\n/// - x ≥ 0\nfunction intoUD60x18(SD59x18 x) pure returns (UD60x18 result) {\n    int256 xInt = SD59x18.unwrap(x);\n    if (xInt < 0) {\n        revert CastingErrors.PRBMath_SD59x18_IntoUD60x18_Underflow(x);\n    }\n    result = UD60x18.wrap(uint256(xInt));\n}\n\n/// @notice Casts an SD59x18 number into uint256.\n/// @dev Requirements:\n/// - x ≥ 0\nfunction intoUint256(SD59x18 x) pure returns (uint256 result) {\n    int256 xInt = SD59x18.unwrap(x);\n    if (xInt < 0) {\n        revert CastingErrors.PRBMath_SD59x18_IntoUint256_Underflow(x);\n    }\n    result = uint256(xInt);\n}\n\n/// @notice Casts an SD59x18 number into uint128.\n/// @dev Requirements:\n/// - x ≥ 0\n/// - x ≤ uMAX_UINT128\nfunction intoUint128(SD59x18 x) pure returns (uint128 result) {\n    int256 xInt = SD59x18.unwrap(x);\n    if (xInt < 0) {\n        revert CastingErrors.PRBMath_SD59x18_IntoUint128_Underflow(x);\n    }\n    if (xInt > int256(uint256(MAX_UINT128))) {\n        revert CastingErrors.PRBMath_SD59x18_IntoUint128_Overflow(x);\n    }\n    result = uint128(uint256(xInt));\n}\n\n/// @notice Casts an SD59x18 number into uint40.\n/// @dev Requirements:\n/// - x ≥ 0\n/// - x ≤ MAX_UINT40\nfunction intoUint40(SD59x18 x) pure returns (uint40 result) {\n    int256 xInt = SD59x18.unwrap(x);\n    if (xInt < 0) {\n        revert CastingErrors.PRBMath_SD59x18_IntoUint40_Underflow(x);\n    }\n    if (xInt > int256(uint256(MAX_UINT40))) {\n        revert CastingErrors.PRBMath_SD59x18_IntoUint40_Overflow(x);\n    }\n    result = uint40(uint256(xInt));\n}\n\n/// @notice Alias for {wrap}.\nfunction sd(int256 x) pure returns (SD59x18 result) {\n    result = SD59x18.wrap(x);\n}\n\n/// @notice Alias for {wrap}.\nfunction sd59x18(int256 x) pure returns (SD59x18 result) {\n    result = SD59x18.wrap(x);\n}\n\n/// @notice Unwraps an SD59x18 number into int256.\nfunction unwrap(SD59x18 x) pure returns (int256 result) {\n    result = SD59x18.unwrap(x);\n}\n\n/// @notice Wraps an int256 number into SD59x18.\nfunction wrap(int256 x) pure returns (SD59x18 result) {\n    result = SD59x18.wrap(x);\n}\n"},"@prb/math/src/sd59x18/Constants.sol":{"content":"// SPDX-License-Identifier: MIT\npragma solidity >=0.8.19;\n\nimport { SD59x18 } from \"./ValueType.sol\";\n\n// NOTICE: the \"u\" prefix stands for \"unwrapped\".\n\n/// @dev Euler's number as an SD59x18 number.\nSD59x18 constant E = SD59x18.wrap(2_718281828459045235);\n\n/// @dev The maximum input permitted in {exp}.\nint256 constant uEXP_MAX_INPUT = 133_084258667509499440;\nSD59x18 constant EXP_MAX_INPUT = SD59x18.wrap(uEXP_MAX_INPUT);\n\n/// @dev Any value less than this returns 0 in {exp}.\nint256 constant uEXP_MIN_THRESHOLD = -41_446531673892822322;\nSD59x18 constant EXP_MIN_THRESHOLD = SD59x18.wrap(uEXP_MIN_THRESHOLD);\n\n/// @dev The maximum input permitted in {exp2}.\nint256 constant uEXP2_MAX_INPUT = 192e18 - 1;\nSD59x18 constant EXP2_MAX_INPUT = SD59x18.wrap(uEXP2_MAX_INPUT);\n\n/// @dev Any value less than this returns 0 in {exp2}.\nint256 constant uEXP2_MIN_THRESHOLD = -59_794705707972522261;\nSD59x18 constant EXP2_MIN_THRESHOLD = SD59x18.wrap(uEXP2_MIN_THRESHOLD);\n\n/// @dev Half the UNIT number.\nint256 constant uHALF_UNIT = 0.5e18;\nSD59x18 constant HALF_UNIT = SD59x18.wrap(uHALF_UNIT);\n\n/// @dev $log_2(10)$ as an SD59x18 number.\nint256 constant uLOG2_10 = 3_321928094887362347;\nSD59x18 constant LOG2_10 = SD59x18.wrap(uLOG2_10);\n\n/// @dev $log_2(e)$ as an SD59x18 number.\nint256 constant uLOG2_E = 1_442695040888963407;\nSD59x18 constant LOG2_E = SD59x18.wrap(uLOG2_E);\n\n/// @dev The maximum value an SD59x18 number can have.\nint256 constant uMAX_SD59x18 = 57896044618658097711785492504343953926634992332820282019728_792003956564819967;\nSD59x18 constant MAX_SD59x18 = SD59x18.wrap(uMAX_SD59x18);\n\n/// @dev The maximum whole value an SD59x18 number can have.\nint256 constant uMAX_WHOLE_SD59x18 = 57896044618658097711785492504343953926634992332820282019728_000000000000000000;\nSD59x18 constant MAX_WHOLE_SD59x18 = SD59x18.wrap(uMAX_WHOLE_SD59x18);\n\n/// @dev The minimum value an SD59x18 number can have.\nint256 constant uMIN_SD59x18 = -57896044618658097711785492504343953926634992332820282019728_792003956564819968;\nSD59x18 constant MIN_SD59x18 = SD59x18.wrap(uMIN_SD59x18);\n\n/// @dev The minimum whole value an SD59x18 number can have.\nint256 constant uMIN_WHOLE_SD59x18 = -57896044618658097711785492504343953926634992332820282019728_000000000000000000;\nSD59x18 constant MIN_WHOLE_SD59x18 = SD59x18.wrap(uMIN_WHOLE_SD59x18);\n\n/// @dev PI as an SD59x18 number.\nSD59x18 constant PI = SD59x18.wrap(3_141592653589793238);\n\n/// @dev The unit number, which gives the decimal precision of SD59x18.\nint256 constant uUNIT = 1e18;\nSD59x18 constant UNIT = SD59x18.wrap(1e18);\n\n/// @dev The unit number squared.\nint256 constant uUNIT_SQUARED = 1e36;\nSD59x18 constant UNIT_SQUARED = SD59x18.wrap(uUNIT_SQUARED);\n\n/// @dev Zero as an SD59x18 number.\nSD59x18 constant ZERO = SD59x18.wrap(0);\n"},"@prb/math/src/sd59x18/Errors.sol":{"content":"// SPDX-License-Identifier: MIT\npragma solidity >=0.8.19;\n\nimport { SD59x18 } from \"./ValueType.sol\";\n\n/// @notice Thrown when taking the absolute value of `MIN_SD59x18`.\nerror PRBMath_SD59x18_Abs_MinSD59x18();\n\n/// @notice Thrown when ceiling a number overflows SD59x18.\nerror PRBMath_SD59x18_Ceil_Overflow(SD59x18 x);\n\n/// @notice Thrown when converting a basic integer to the fixed-point format overflows SD59x18.\nerror PRBMath_SD59x18_Convert_Overflow(int256 x);\n\n/// @notice Thrown when converting a basic integer to the fixed-point format underflows SD59x18.\nerror PRBMath_SD59x18_Convert_Underflow(int256 x);\n\n/// @notice Thrown when dividing two numbers and one of them is `MIN_SD59x18`.\nerror PRBMath_SD59x18_Div_InputTooSmall();\n\n/// @notice Thrown when dividing two numbers and one of the intermediary unsigned results overflows SD59x18.\nerror PRBMath_SD59x18_Div_Overflow(SD59x18 x, SD59x18 y);\n\n/// @notice Thrown when taking the natural exponent of a base greater than 133_084258667509499441.\nerror PRBMath_SD59x18_Exp_InputTooBig(SD59x18 x);\n\n/// @notice Thrown when taking the binary exponent of a base greater than 192e18.\nerror PRBMath_SD59x18_Exp2_InputTooBig(SD59x18 x);\n\n/// @notice Thrown when flooring a number underflows SD59x18.\nerror PRBMath_SD59x18_Floor_Underflow(SD59x18 x);\n\n/// @notice Thrown when taking the geometric mean of two numbers and their product is negative.\nerror PRBMath_SD59x18_Gm_NegativeProduct(SD59x18 x, SD59x18 y);\n\n/// @notice Thrown when taking the geometric mean of two numbers and multiplying them overflows SD59x18.\nerror PRBMath_SD59x18_Gm_Overflow(SD59x18 x, SD59x18 y);\n\n/// @notice Thrown when trying to cast an SD59x18 number that doesn't fit in SD1x18.\nerror PRBMath_SD59x18_IntoSD1x18_Overflow(SD59x18 x);\n\n/// @notice Thrown when trying to cast an SD59x18 number that doesn't fit in SD1x18.\nerror PRBMath_SD59x18_IntoSD1x18_Underflow(SD59x18 x);\n\n/// @notice Thrown when trying to cast an SD59x18 number that doesn't fit in SD21x18.\nerror PRBMath_SD59x18_IntoSD21x18_Overflow(SD59x18 x);\n\n/// @notice Thrown when trying to cast an SD59x18 number that doesn't fit in SD21x18.\nerror PRBMath_SD59x18_IntoSD21x18_Underflow(SD59x18 x);\n\n/// @notice Thrown when trying to cast an SD59x18 number that doesn't fit in UD2x18.\nerror PRBMath_SD59x18_IntoUD2x18_Overflow(SD59x18 x);\n\n/// @notice Thrown when trying to cast an SD59x18 number that doesn't fit in UD2x18.\nerror PRBMath_SD59x18_IntoUD2x18_Underflow(SD59x18 x);\n\n/// @notice Thrown when trying to cast an SD59x18 number that doesn't fit in UD21x18.\nerror PRBMath_SD59x18_IntoUD21x18_Overflow(SD59x18 x);\n\n/// @notice Thrown when trying to cast an SD59x18 number that doesn't fit in UD21x18.\nerror PRBMath_SD59x18_IntoUD21x18_Underflow(SD59x18 x);\n\n/// @notice Thrown when trying to cast an SD59x18 number that doesn't fit in UD60x18.\nerror PRBMath_SD59x18_IntoUD60x18_Underflow(SD59x18 x);\n\n/// @notice Thrown when trying to cast an SD59x18 number that doesn't fit in uint128.\nerror PRBMath_SD59x18_IntoUint128_Overflow(SD59x18 x);\n\n/// @notice Thrown when trying to cast an SD59x18 number that doesn't fit in uint128.\nerror PRBMath_SD59x18_IntoUint128_Underflow(SD59x18 x);\n\n/// @notice Thrown when trying to cast an SD59x18 number that doesn't fit in uint256.\nerror PRBMath_SD59x18_IntoUint256_Underflow(SD59x18 x);\n\n/// @notice Thrown when trying to cast an SD59x18 number that doesn't fit in uint40.\nerror PRBMath_SD59x18_IntoUint40_Overflow(SD59x18 x);\n\n/// @notice Thrown when trying to cast an SD59x18 number that doesn't fit in uint40.\nerror PRBMath_SD59x18_IntoUint40_Underflow(SD59x18 x);\n\n/// @notice Thrown when taking the logarithm of a number less than or equal to zero.\nerror PRBMath_SD59x18_Log_InputTooSmall(SD59x18 x);\n\n/// @notice Thrown when multiplying two numbers and one of the inputs is `MIN_SD59x18`.\nerror PRBMath_SD59x18_Mul_InputTooSmall();\n\n/// @notice Thrown when multiplying two numbers and the intermediary absolute result overflows SD59x18.\nerror PRBMath_SD59x18_Mul_Overflow(SD59x18 x, SD59x18 y);\n\n/// @notice Thrown when raising a number to a power and the intermediary absolute result overflows SD59x18.\nerror PRBMath_SD59x18_Powu_Overflow(SD59x18 x, uint256 y);\n\n/// @notice Thrown when taking the square root of a negative number.\nerror PRBMath_SD59x18_Sqrt_NegativeInput(SD59x18 x);\n\n/// @notice Thrown when the calculating the square root overflows SD59x18.\nerror PRBMath_SD59x18_Sqrt_Overflow(SD59x18 x);\n"},"@prb/math/src/sd59x18/Helpers.sol":{"content":"// SPDX-License-Identifier: MIT\npragma solidity >=0.8.19;\n\nimport { wrap } from \"./Casting.sol\";\nimport { SD59x18 } from \"./ValueType.sol\";\n\n/// @notice Implements the checked addition operation (+) in the SD59x18 type.\nfunction add(SD59x18 x, SD59x18 y) pure returns (SD59x18 result) {\n    return wrap(x.unwrap() + y.unwrap());\n}\n\n/// @notice Implements the AND (&) bitwise operation in the SD59x18 type.\nfunction and(SD59x18 x, int256 bits) pure returns (SD59x18 result) {\n    return wrap(x.unwrap() & bits);\n}\n\n/// @notice Implements the AND (&) bitwise operation in the SD59x18 type.\nfunction and2(SD59x18 x, SD59x18 y) pure returns (SD59x18 result) {\n    return wrap(x.unwrap() & y.unwrap());\n}\n\n/// @notice Implements the equal (=) operation in the SD59x18 type.\nfunction eq(SD59x18 x, SD59x18 y) pure returns (bool result) {\n    result = x.unwrap() == y.unwrap();\n}\n\n/// @notice Implements the greater than operation (>) in the SD59x18 type.\nfunction gt(SD59x18 x, SD59x18 y) pure returns (bool result) {\n    result = x.unwrap() > y.unwrap();\n}\n\n/// @notice Implements the greater than or equal to operation (>=) in the SD59x18 type.\nfunction gte(SD59x18 x, SD59x18 y) pure returns (bool result) {\n    result = x.unwrap() >= y.unwrap();\n}\n\n/// @notice Implements a zero comparison check function in the SD59x18 type.\nfunction isZero(SD59x18 x) pure returns (bool result) {\n    result = x.unwrap() == 0;\n}\n\n/// @notice Implements the left shift operation (<<) in the SD59x18 type.\nfunction lshift(SD59x18 x, uint256 bits) pure returns (SD59x18 result) {\n    result = wrap(x.unwrap() << bits);\n}\n\n/// @notice Implements the lower than operation (<) in the SD59x18 type.\nfunction lt(SD59x18 x, SD59x18 y) pure returns (bool result) {\n    result = x.unwrap() < y.unwrap();\n}\n\n/// @notice Implements the lower than or equal to operation (<=) in the SD59x18 type.\nfunction lte(SD59x18 x, SD59x18 y) pure returns (bool result) {\n    result = x.unwrap() <= y.unwrap();\n}\n\n/// @notice Implements the unchecked modulo operation (%) in the SD59x18 type.\nfunction mod(SD59x18 x, SD59x18 y) pure returns (SD59x18 result) {\n    result = wrap(x.unwrap() % y.unwrap());\n}\n\n/// @notice Implements the not equal operation (!=) in the SD59x18 type.\nfunction neq(SD59x18 x, SD59x18 y) pure returns (bool result) {\n    result = x.unwrap() != y.unwrap();\n}\n\n/// @notice Implements the NOT (~) bitwise operation in the SD59x18 type.\nfunction not(SD59x18 x) pure returns (SD59x18 result) {\n    result = wrap(~x.unwrap());\n}\n\n/// @notice Implements the OR (|) bitwise operation in the SD59x18 type.\nfunction or(SD59x18 x, SD59x18 y) pure returns (SD59x18 result) {\n    result = wrap(x.unwrap() | y.unwrap());\n}\n\n/// @notice Implements the right shift operation (>>) in the SD59x18 type.\nfunction rshift(SD59x18 x, uint256 bits) pure returns (SD59x18 result) {\n    result = wrap(x.unwrap() >> bits);\n}\n\n/// @notice Implements the checked subtraction operation (-) in the SD59x18 type.\nfunction sub(SD59x18 x, SD59x18 y) pure returns (SD59x18 result) {\n    result = wrap(x.unwrap() - y.unwrap());\n}\n\n/// @notice Implements the checked unary minus operation (-) in the SD59x18 type.\nfunction unary(SD59x18 x) pure returns (SD59x18 result) {\n    result = wrap(-x.unwrap());\n}\n\n/// @notice Implements the unchecked addition operation (+) in the SD59x18 type.\nfunction uncheckedAdd(SD59x18 x, SD59x18 y) pure returns (SD59x18 result) {\n    unchecked {\n        result = wrap(x.unwrap() + y.unwrap());\n    }\n}\n\n/// @notice Implements the unchecked subtraction operation (-) in the SD59x18 type.\nfunction uncheckedSub(SD59x18 x, SD59x18 y) pure returns (SD59x18 result) {\n    unchecked {\n        result = wrap(x.unwrap() - y.unwrap());\n    }\n}\n\n/// @notice Implements the unchecked unary minus operation (-) in the SD59x18 type.\nfunction uncheckedUnary(SD59x18 x) pure returns (SD59x18 result) {\n    unchecked {\n        result = wrap(-x.unwrap());\n    }\n}\n\n/// @notice Implements the XOR (^) bitwise operation in the SD59x18 type.\nfunction xor(SD59x18 x, SD59x18 y) pure returns (SD59x18 result) {\n    result = wrap(x.unwrap() ^ y.unwrap());\n}\n"},"@prb/math/src/sd59x18/Math.sol":{"content":"// SPDX-License-Identifier: MIT\npragma solidity >=0.8.19;\n\nimport \"../Common.sol\" as Common;\nimport \"./Errors.sol\" as Errors;\nimport {\n    uEXP_MAX_INPUT,\n    uEXP2_MAX_INPUT,\n    uEXP_MIN_THRESHOLD,\n    uEXP2_MIN_THRESHOLD,\n    uHALF_UNIT,\n    uLOG2_10,\n    uLOG2_E,\n    uMAX_SD59x18,\n    uMAX_WHOLE_SD59x18,\n    uMIN_SD59x18,\n    uMIN_WHOLE_SD59x18,\n    UNIT,\n    uUNIT,\n    uUNIT_SQUARED,\n    ZERO\n} from \"./Constants.sol\";\nimport { wrap } from \"./Helpers.sol\";\nimport { SD59x18 } from \"./ValueType.sol\";\n\n/// @notice Calculates the absolute value of x.\n///\n/// @dev Requirements:\n/// - x > MIN_SD59x18.\n///\n/// @param x The SD59x18 number for which to calculate the absolute value.\n/// @return result The absolute value of x as an SD59x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction abs(SD59x18 x) pure returns (SD59x18 result) {\n    int256 xInt = x.unwrap();\n    if (xInt == uMIN_SD59x18) {\n        revert Errors.PRBMath_SD59x18_Abs_MinSD59x18();\n    }\n    result = xInt < 0 ? wrap(-xInt) : x;\n}\n\n/// @notice Calculates the arithmetic average of x and y.\n///\n/// @dev Notes:\n/// - The result is rounded toward zero.\n///\n/// @param x The first operand as an SD59x18 number.\n/// @param y The second operand as an SD59x18 number.\n/// @return result The arithmetic average as an SD59x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction avg(SD59x18 x, SD59x18 y) pure returns (SD59x18 result) {\n    int256 xInt = x.unwrap();\n    int256 yInt = y.unwrap();\n\n    unchecked {\n        // This operation is equivalent to `x / 2 +  y / 2`, and it can never overflow.\n        int256 sum = (xInt >> 1) + (yInt >> 1);\n\n        if (sum < 0) {\n            // If at least one of x and y is odd, add 1 to the result, because shifting negative numbers to the right\n            // rounds toward negative infinity. The right part is equivalent to `sum + (x % 2 == 1 || y % 2 == 1)`.\n            assembly (\"memory-safe\") {\n                result := add(sum, and(or(xInt, yInt), 1))\n            }\n        } else {\n            // Add 1 if both x and y are odd to account for the double 0.5 remainder truncated after shifting.\n            result = wrap(sum + (xInt & yInt & 1));\n        }\n    }\n}\n\n/// @notice Yields the smallest whole number greater than or equal to x.\n///\n/// @dev Optimized for fractional value inputs, because every whole value has (1e18 - 1) fractional counterparts.\n/// See https://en.wikipedia.org/wiki/Floor_and_ceiling_functions.\n///\n/// Requirements:\n/// - x ≤ MAX_WHOLE_SD59x18\n///\n/// @param x The SD59x18 number to ceil.\n/// @return result The smallest whole number greater than or equal to x, as an SD59x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction ceil(SD59x18 x) pure returns (SD59x18 result) {\n    int256 xInt = x.unwrap();\n    if (xInt > uMAX_WHOLE_SD59x18) {\n        revert Errors.PRBMath_SD59x18_Ceil_Overflow(x);\n    }\n\n    int256 remainder = xInt % uUNIT;\n    if (remainder == 0) {\n        result = x;\n    } else {\n        unchecked {\n            // Solidity uses C fmod style, which returns a modulus with the same sign as x.\n            int256 resultInt = xInt - remainder;\n            if (xInt > 0) {\n                resultInt += uUNIT;\n            }\n            result = wrap(resultInt);\n        }\n    }\n}\n\n/// @notice Divides two SD59x18 numbers, returning a new SD59x18 number.\n///\n/// @dev This is an extension of {Common.mulDiv} for signed numbers, which works by computing the signs and the absolute\n/// values separately.\n///\n/// Notes:\n/// - Refer to the notes in {Common.mulDiv}.\n/// - The result is rounded toward zero.\n///\n/// Requirements:\n/// - Refer to the requirements in {Common.mulDiv}.\n/// - None of the inputs can be `MIN_SD59x18`.\n/// - The denominator must not be zero.\n/// - The result must fit in SD59x18.\n///\n/// @param x The numerator as an SD59x18 number.\n/// @param y The denominator as an SD59x18 number.\n/// @return result The quotient as an SD59x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction div(SD59x18 x, SD59x18 y) pure returns (SD59x18 result) {\n    int256 xInt = x.unwrap();\n    int256 yInt = y.unwrap();\n    if (xInt == uMIN_SD59x18 || yInt == uMIN_SD59x18) {\n        revert Errors.PRBMath_SD59x18_Div_InputTooSmall();\n    }\n\n    // Get hold of the absolute values of x and y.\n    uint256 xAbs;\n    uint256 yAbs;\n    unchecked {\n        xAbs = xInt < 0 ? uint256(-xInt) : uint256(xInt);\n        yAbs = yInt < 0 ? uint256(-yInt) : uint256(yInt);\n    }\n\n    // Compute the absolute value (x*UNIT÷y). The resulting value must fit in SD59x18.\n    uint256 resultAbs = Common.mulDiv(xAbs, uint256(uUNIT), yAbs);\n    if (resultAbs > uint256(uMAX_SD59x18)) {\n        revert Errors.PRBMath_SD59x18_Div_Overflow(x, y);\n    }\n\n    // Check if x and y have the same sign using two's complement representation. The left-most bit represents the sign (1 for\n    // negative, 0 for positive or zero).\n    bool sameSign = (xInt ^ yInt) > -1;\n\n    // If the inputs have the same sign, the result should be positive. Otherwise, it should be negative.\n    unchecked {\n        result = wrap(sameSign ? int256(resultAbs) : -int256(resultAbs));\n    }\n}\n\n/// @notice Calculates the natural exponent of x using the following formula:\n///\n/// $$\n/// e^x = 2^{x * log_2{e}}\n/// $$\n///\n/// @dev Notes:\n/// - Refer to the notes in {exp2}.\n///\n/// Requirements:\n/// - Refer to the requirements in {exp2}.\n/// - x < 133_084258667509499441.\n///\n/// @param x The exponent as an SD59x18 number.\n/// @return result The result as an SD59x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction exp(SD59x18 x) pure returns (SD59x18 result) {\n    int256 xInt = x.unwrap();\n\n    // Any input less than the threshold returns zero.\n    // This check also prevents an overflow for very small numbers.\n    if (xInt < uEXP_MIN_THRESHOLD) {\n        return ZERO;\n    }\n\n    // This check prevents values greater than 192e18 from being passed to {exp2}.\n    if (xInt > uEXP_MAX_INPUT) {\n        revert Errors.PRBMath_SD59x18_Exp_InputTooBig(x);\n    }\n\n    unchecked {\n        // Inline the fixed-point multiplication to save gas.\n        int256 doubleUnitProduct = xInt * uLOG2_E;\n        result = exp2(wrap(doubleUnitProduct / uUNIT));\n    }\n}\n\n/// @notice Calculates the binary exponent of x using the binary fraction method using the following formula:\n///\n/// $$\n/// 2^{-x} = \\frac{1}{2^x}\n/// $$\n///\n/// @dev See https://ethereum.stackexchange.com/q/79903/24693.\n///\n/// Notes:\n/// - If x < -59_794705707972522261, the result is zero.\n///\n/// Requirements:\n/// - x < 192e18.\n/// - The result must fit in SD59x18.\n///\n/// @param x The exponent as an SD59x18 number.\n/// @return result The result as an SD59x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction exp2(SD59x18 x) pure returns (SD59x18 result) {\n    int256 xInt = x.unwrap();\n    if (xInt < 0) {\n        // The inverse of any number less than the threshold is truncated to zero.\n        if (xInt < uEXP2_MIN_THRESHOLD) {\n            return ZERO;\n        }\n\n        unchecked {\n            // Inline the fixed-point inversion to save gas.\n            result = wrap(uUNIT_SQUARED / exp2(wrap(-xInt)).unwrap());\n        }\n    } else {\n        // Numbers greater than or equal to 192e18 don't fit in the 192.64-bit format.\n        if (xInt > uEXP2_MAX_INPUT) {\n            revert Errors.PRBMath_SD59x18_Exp2_InputTooBig(x);\n        }\n\n        unchecked {\n            // Convert x to the 192.64-bit fixed-point format.\n            uint256 x_192x64 = uint256((xInt << 64) / uUNIT);\n\n            // It is safe to cast the result to int256 due to the checks above.\n            result = wrap(int256(Common.exp2(x_192x64)));\n        }\n    }\n}\n\n/// @notice Yields the greatest whole number less than or equal to x.\n///\n/// @dev Optimized for fractional value inputs, because for every whole value there are (1e18 - 1) fractional\n/// counterparts. See https://en.wikipedia.org/wiki/Floor_and_ceiling_functions.\n///\n/// Requirements:\n/// - x ≥ MIN_WHOLE_SD59x18\n///\n/// @param x The SD59x18 number to floor.\n/// @return result The greatest whole number less than or equal to x, as an SD59x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction floor(SD59x18 x) pure returns (SD59x18 result) {\n    int256 xInt = x.unwrap();\n    if (xInt < uMIN_WHOLE_SD59x18) {\n        revert Errors.PRBMath_SD59x18_Floor_Underflow(x);\n    }\n\n    int256 remainder = xInt % uUNIT;\n    if (remainder == 0) {\n        result = x;\n    } else {\n        unchecked {\n            // Solidity uses C fmod style, which returns a modulus with the same sign as x.\n            int256 resultInt = xInt - remainder;\n            if (xInt < 0) {\n                resultInt -= uUNIT;\n            }\n            result = wrap(resultInt);\n        }\n    }\n}\n\n/// @notice Yields the excess beyond the floor of x for positive numbers and the part of the number to the right.\n/// of the radix point for negative numbers.\n/// @dev Based on the odd function definition. https://en.wikipedia.org/wiki/Fractional_part\n/// @param x The SD59x18 number to get the fractional part of.\n/// @return result The fractional part of x as an SD59x18 number.\nfunction frac(SD59x18 x) pure returns (SD59x18 result) {\n    result = wrap(x.unwrap() % uUNIT);\n}\n\n/// @notice Calculates the geometric mean of x and y, i.e. $\\sqrt{x * y}$.\n///\n/// @dev Notes:\n/// - The result is rounded toward zero.\n///\n/// Requirements:\n/// - x * y must fit in SD59x18.\n/// - x * y must not be negative, since complex numbers are not supported.\n///\n/// @param x The first operand as an SD59x18 number.\n/// @param y The second operand as an SD59x18 number.\n/// @return result The result as an SD59x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction gm(SD59x18 x, SD59x18 y) pure returns (SD59x18 result) {\n    int256 xInt = x.unwrap();\n    int256 yInt = y.unwrap();\n    if (xInt == 0 || yInt == 0) {\n        return ZERO;\n    }\n\n    unchecked {\n        // Equivalent to `xy / x != y`. Checking for overflow this way is faster than letting Solidity do it.\n        int256 xyInt = xInt * yInt;\n        if (xyInt / xInt != yInt) {\n            revert Errors.PRBMath_SD59x18_Gm_Overflow(x, y);\n        }\n\n        // The product must not be negative, since complex numbers are not supported.\n        if (xyInt < 0) {\n            revert Errors.PRBMath_SD59x18_Gm_NegativeProduct(x, y);\n        }\n\n        // We don't need to multiply the result by `UNIT` here because the x*y product picked up a factor of `UNIT`\n        // during multiplication. See the comments in {Common.sqrt}.\n        uint256 resultUint = Common.sqrt(uint256(xyInt));\n        result = wrap(int256(resultUint));\n    }\n}\n\n/// @notice Calculates the inverse of x.\n///\n/// @dev Notes:\n/// - The result is rounded toward zero.\n///\n/// Requirements:\n/// - x must not be zero.\n///\n/// @param x The SD59x18 number for which to calculate the inverse.\n/// @return result The inverse as an SD59x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction inv(SD59x18 x) pure returns (SD59x18 result) {\n    result = wrap(uUNIT_SQUARED / x.unwrap());\n}\n\n/// @notice Calculates the natural logarithm of x using the following formula:\n///\n/// $$\n/// ln{x} = log_2{x} / log_2{e}\n/// $$\n///\n/// @dev Notes:\n/// - Refer to the notes in {log2}.\n/// - The precision isn't sufficiently fine-grained to return exactly `UNIT` when the input is `E`.\n///\n/// Requirements:\n/// - Refer to the requirements in {log2}.\n///\n/// @param x The SD59x18 number for which to calculate the natural logarithm.\n/// @return result The natural logarithm as an SD59x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction ln(SD59x18 x) pure returns (SD59x18 result) {\n    // Inline the fixed-point multiplication to save gas. This is overflow-safe because the maximum value that\n    // {log2} can return is ~195_205294292027477728.\n    result = wrap(log2(x).unwrap() * uUNIT / uLOG2_E);\n}\n\n/// @notice Calculates the common logarithm of x using the following formula:\n///\n/// $$\n/// log_{10}{x} = log_2{x} / log_2{10}\n/// $$\n///\n/// However, if x is an exact power of ten, a hard coded value is returned.\n///\n/// @dev Notes:\n/// - Refer to the notes in {log2}.\n///\n/// Requirements:\n/// - Refer to the requirements in {log2}.\n///\n/// @param x The SD59x18 number for which to calculate the common logarithm.\n/// @return result The common logarithm as an SD59x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction log10(SD59x18 x) pure returns (SD59x18 result) {\n    int256 xInt = x.unwrap();\n    if (xInt < 0) {\n        revert Errors.PRBMath_SD59x18_Log_InputTooSmall(x);\n    }\n\n    // Note that the `mul` in this block is the standard multiplication operation, not {SD59x18.mul}.\n    // prettier-ignore\n    assembly (\"memory-safe\") {\n        switch x\n        case 1 { result := mul(uUNIT, sub(0, 18)) }\n        case 10 { result := mul(uUNIT, sub(1, 18)) }\n        case 100 { result := mul(uUNIT, sub(2, 18)) }\n        case 1000 { result := mul(uUNIT, sub(3, 18)) }\n        case 10000 { result := mul(uUNIT, sub(4, 18)) }\n        case 100000 { result := mul(uUNIT, sub(5, 18)) }\n        case 1000000 { result := mul(uUNIT, sub(6, 18)) }\n        case 10000000 { result := mul(uUNIT, sub(7, 18)) }\n        case 100000000 { result := mul(uUNIT, sub(8, 18)) }\n        case 1000000000 { result := mul(uUNIT, sub(9, 18)) }\n        case 10000000000 { result := mul(uUNIT, sub(10, 18)) }\n        case 100000000000 { result := mul(uUNIT, sub(11, 18)) }\n        case 1000000000000 { result := mul(uUNIT, sub(12, 18)) }\n        case 10000000000000 { result := mul(uUNIT, sub(13, 18)) }\n        case 100000000000000 { result := mul(uUNIT, sub(14, 18)) }\n        case 1000000000000000 { result := mul(uUNIT, sub(15, 18)) }\n        case 10000000000000000 { result := mul(uUNIT, sub(16, 18)) }\n        case 100000000000000000 { result := mul(uUNIT, sub(17, 18)) }\n        case 1000000000000000000 { result := 0 }\n        case 10000000000000000000 { result := uUNIT }\n        case 100000000000000000000 { result := mul(uUNIT, 2) }\n        case 1000000000000000000000 { result := mul(uUNIT, 3) }\n        case 10000000000000000000000 { result := mul(uUNIT, 4) }\n        case 100000000000000000000000 { result := mul(uUNIT, 5) }\n        case 1000000000000000000000000 { result := mul(uUNIT, 6) }\n        case 10000000000000000000000000 { result := mul(uUNIT, 7) }\n        case 100000000000000000000000000 { result := mul(uUNIT, 8) }\n        case 1000000000000000000000000000 { result := mul(uUNIT, 9) }\n        case 10000000000000000000000000000 { result := mul(uUNIT, 10) }\n        case 100000000000000000000000000000 { result := mul(uUNIT, 11) }\n        case 1000000000000000000000000000000 { result := mul(uUNIT, 12) }\n        case 10000000000000000000000000000000 { result := mul(uUNIT, 13) }\n        case 100000000000000000000000000000000 { result := mul(uUNIT, 14) }\n        case 1000000000000000000000000000000000 { result := mul(uUNIT, 15) }\n        case 10000000000000000000000000000000000 { result := mul(uUNIT, 16) }\n        case 100000000000000000000000000000000000 { result := mul(uUNIT, 17) }\n        case 1000000000000000000000000000000000000 { result := mul(uUNIT, 18) }\n        case 10000000000000000000000000000000000000 { result := mul(uUNIT, 19) }\n        case 100000000000000000000000000000000000000 { result := mul(uUNIT, 20) }\n        case 1000000000000000000000000000000000000000 { result := mul(uUNIT, 21) }\n        case 10000000000000000000000000000000000000000 { result := mul(uUNIT, 22) }\n        case 100000000000000000000000000000000000000000 { result := mul(uUNIT, 23) }\n        case 1000000000000000000000000000000000000000000 { result := mul(uUNIT, 24) }\n        case 10000000000000000000000000000000000000000000 { result := mul(uUNIT, 25) }\n        case 100000000000000000000000000000000000000000000 { result := mul(uUNIT, 26) }\n        case 1000000000000000000000000000000000000000000000 { result := mul(uUNIT, 27) }\n        case 10000000000000000000000000000000000000000000000 { result := mul(uUNIT, 28) }\n        case 100000000000000000000000000000000000000000000000 { result := mul(uUNIT, 29) }\n        case 1000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 30) }\n        case 10000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 31) }\n        case 100000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 32) }\n        case 1000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 33) }\n        case 10000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 34) }\n        case 100000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 35) }\n        case 1000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 36) }\n        case 10000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 37) }\n        case 100000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 38) }\n        case 1000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 39) }\n        case 10000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 40) }\n        case 100000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 41) }\n        case 1000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 42) }\n        case 10000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 43) }\n        case 100000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 44) }\n        case 1000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 45) }\n        case 10000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 46) }\n        case 100000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 47) }\n        case 1000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 48) }\n        case 10000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 49) }\n        case 100000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 50) }\n        case 1000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 51) }\n        case 10000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 52) }\n        case 100000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 53) }\n        case 1000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 54) }\n        case 10000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 55) }\n        case 100000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 56) }\n        case 1000000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 57) }\n        case 10000000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 58) }\n        default { result := uMAX_SD59x18 }\n    }\n\n    if (result.unwrap() == uMAX_SD59x18) {\n        unchecked {\n            // Inline the fixed-point division to save gas.\n            result = wrap(log2(x).unwrap() * uUNIT / uLOG2_10);\n        }\n    }\n}\n\n/// @notice Calculates the binary logarithm of x using the iterative approximation algorithm:\n///\n/// $$\n/// log_2{x} = n + log_2{y}, \\text{ where } y = x*2^{-n}, \\ y \\in [1, 2)\n/// $$\n///\n/// For $0 \\leq x \\lt 1$, the input is inverted:\n///\n/// $$\n/// log_2{x} = -log_2{\\frac{1}{x}}\n/// $$\n///\n/// @dev See https://en.wikipedia.org/wiki/Binary_logarithm#Iterative_approximation.\n///\n/// Notes:\n/// - Due to the lossy precision of the iterative approximation, the results are not perfectly accurate to the last decimal.\n///\n/// Requirements:\n/// - x > 0\n///\n/// @param x The SD59x18 number for which to calculate the binary logarithm.\n/// @return result The binary logarithm as an SD59x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction log2(SD59x18 x) pure returns (SD59x18 result) {\n    int256 xInt = x.unwrap();\n    if (xInt <= 0) {\n        revert Errors.PRBMath_SD59x18_Log_InputTooSmall(x);\n    }\n\n    unchecked {\n        int256 sign;\n        if (xInt >= uUNIT) {\n            sign = 1;\n        } else {\n            sign = -1;\n            // Inline the fixed-point inversion to save gas.\n            xInt = uUNIT_SQUARED / xInt;\n        }\n\n        // Calculate the integer part of the logarithm.\n        uint256 n = Common.msb(uint256(xInt / uUNIT));\n\n        // This is the integer part of the logarithm as an SD59x18 number. The operation can't overflow\n        // because n is at most 255, `UNIT` is 1e18, and the sign is either 1 or -1.\n        int256 resultInt = int256(n) * uUNIT;\n\n        // Calculate $y = x * 2^{-n}$.\n        int256 y = xInt >> n;\n\n        // If y is the unit number, the fractional part is zero.\n        if (y == uUNIT) {\n            return wrap(resultInt * sign);\n        }\n\n        // Calculate the fractional part via the iterative approximation.\n        // The `delta >>= 1` part is equivalent to `delta /= 2`, but shifting bits is more gas efficient.\n        int256 DOUBLE_UNIT = 2e18;\n        for (int256 delta = uHALF_UNIT; delta > 0; delta >>= 1) {\n            y = (y * y) / uUNIT;\n\n            // Is y^2 >= 2e18 and so in the range [2e18, 4e18)?\n            if (y >= DOUBLE_UNIT) {\n                // Add the 2^{-m} factor to the logarithm.\n                resultInt = resultInt + delta;\n\n                // Halve y, which corresponds to z/2 in the Wikipedia article.\n                y >>= 1;\n            }\n        }\n        resultInt *= sign;\n        result = wrap(resultInt);\n    }\n}\n\n/// @notice Multiplies two SD59x18 numbers together, returning a new SD59x18 number.\n///\n/// @dev Notes:\n/// - Refer to the notes in {Common.mulDiv18}.\n///\n/// Requirements:\n/// - Refer to the requirements in {Common.mulDiv18}.\n/// - None of the inputs can be `MIN_SD59x18`.\n/// - The result must fit in SD59x18.\n///\n/// @param x The multiplicand as an SD59x18 number.\n/// @param y The multiplier as an SD59x18 number.\n/// @return result The product as an SD59x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction mul(SD59x18 x, SD59x18 y) pure returns (SD59x18 result) {\n    int256 xInt = x.unwrap();\n    int256 yInt = y.unwrap();\n    if (xInt == uMIN_SD59x18 || yInt == uMIN_SD59x18) {\n        revert Errors.PRBMath_SD59x18_Mul_InputTooSmall();\n    }\n\n    // Get hold of the absolute values of x and y.\n    uint256 xAbs;\n    uint256 yAbs;\n    unchecked {\n        xAbs = xInt < 0 ? uint256(-xInt) : uint256(xInt);\n        yAbs = yInt < 0 ? uint256(-yInt) : uint256(yInt);\n    }\n\n    // Compute the absolute value (x*y÷UNIT). The resulting value must fit in SD59x18.\n    uint256 resultAbs = Common.mulDiv18(xAbs, yAbs);\n    if (resultAbs > uint256(uMAX_SD59x18)) {\n        revert Errors.PRBMath_SD59x18_Mul_Overflow(x, y);\n    }\n\n    // Check if x and y have the same sign using two's complement representation. The left-most bit represents the sign (1 for\n    // negative, 0 for positive or zero).\n    bool sameSign = (xInt ^ yInt) > -1;\n\n    // If the inputs have the same sign, the result should be positive. Otherwise, it should be negative.\n    unchecked {\n        result = wrap(sameSign ? int256(resultAbs) : -int256(resultAbs));\n    }\n}\n\n/// @notice Raises x to the power of y using the following formula:\n///\n/// $$\n/// x^y = 2^{log_2{x} * y}\n/// $$\n///\n/// @dev Notes:\n/// - Refer to the notes in {exp2}, {log2}, and {mul}.\n/// - Returns `UNIT` for 0^0.\n///\n/// Requirements:\n/// - Refer to the requirements in {exp2}, {log2}, and {mul}.\n///\n/// @param x The base as an SD59x18 number.\n/// @param y Exponent to raise x to, as an SD59x18 number\n/// @return result x raised to power y, as an SD59x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction pow(SD59x18 x, SD59x18 y) pure returns (SD59x18 result) {\n    int256 xInt = x.unwrap();\n    int256 yInt = y.unwrap();\n\n    // If both x and y are zero, the result is `UNIT`. If just x is zero, the result is always zero.\n    if (xInt == 0) {\n        return yInt == 0 ? UNIT : ZERO;\n    }\n    // If x is `UNIT`, the result is always `UNIT`.\n    else if (xInt == uUNIT) {\n        return UNIT;\n    }\n\n    // If y is zero, the result is always `UNIT`.\n    if (yInt == 0) {\n        return UNIT;\n    }\n    // If y is `UNIT`, the result is always x.\n    else if (yInt == uUNIT) {\n        return x;\n    }\n\n    // Calculate the result using the formula.\n    result = exp2(mul(log2(x), y));\n}\n\n/// @notice Raises x (an SD59x18 number) to the power y (an unsigned basic integer) using the well-known\n/// algorithm \"exponentiation by squaring\".\n///\n/// @dev See https://en.wikipedia.org/wiki/Exponentiation_by_squaring.\n///\n/// Notes:\n/// - Refer to the notes in {Common.mulDiv18}.\n/// - Returns `UNIT` for 0^0.\n///\n/// Requirements:\n/// - Refer to the requirements in {abs} and {Common.mulDiv18}.\n/// - The result must fit in SD59x18.\n///\n/// @param x The base as an SD59x18 number.\n/// @param y The exponent as a uint256.\n/// @return result The result as an SD59x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction powu(SD59x18 x, uint256 y) pure returns (SD59x18 result) {\n    uint256 xAbs = uint256(abs(x).unwrap());\n\n    // Calculate the first iteration of the loop in advance.\n    uint256 resultAbs = y & 1 > 0 ? xAbs : uint256(uUNIT);\n\n    // Equivalent to `for(y /= 2; y > 0; y /= 2)`.\n    uint256 yAux = y;\n    for (yAux >>= 1; yAux > 0; yAux >>= 1) {\n        xAbs = Common.mulDiv18(xAbs, xAbs);\n\n        // Equivalent to `y % 2 == 1`.\n        if (yAux & 1 > 0) {\n            resultAbs = Common.mulDiv18(resultAbs, xAbs);\n        }\n    }\n\n    // The result must fit in SD59x18.\n    if (resultAbs > uint256(uMAX_SD59x18)) {\n        revert Errors.PRBMath_SD59x18_Powu_Overflow(x, y);\n    }\n\n    unchecked {\n        // Is the base negative and the exponent odd? If yes, the result should be negative.\n        int256 resultInt = int256(resultAbs);\n        bool isNegative = x.unwrap() < 0 && y & 1 == 1;\n        if (isNegative) {\n            resultInt = -resultInt;\n        }\n        result = wrap(resultInt);\n    }\n}\n\n/// @notice Calculates the square root of x using the Babylonian method.\n///\n/// @dev See https://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Babylonian_method.\n///\n/// Notes:\n/// - Only the positive root is returned.\n/// - The result is rounded toward zero.\n///\n/// Requirements:\n/// - x ≥ 0, since complex numbers are not supported.\n/// - x ≤ MAX_SD59x18 / UNIT\n///\n/// @param x The SD59x18 number for which to calculate the square root.\n/// @return result The result as an SD59x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction sqrt(SD59x18 x) pure returns (SD59x18 result) {\n    int256 xInt = x.unwrap();\n    if (xInt < 0) {\n        revert Errors.PRBMath_SD59x18_Sqrt_NegativeInput(x);\n    }\n    if (xInt > uMAX_SD59x18 / uUNIT) {\n        revert Errors.PRBMath_SD59x18_Sqrt_Overflow(x);\n    }\n\n    unchecked {\n        // Multiply x by `UNIT` to account for the factor of `UNIT` picked up when multiplying two SD59x18 numbers.\n        // In this case, the two numbers are both the square root.\n        uint256 resultUint = Common.sqrt(uint256(xInt * uUNIT));\n        result = wrap(int256(resultUint));\n    }\n}\n"},"@prb/math/src/sd59x18/ValueType.sol":{"content":"// SPDX-License-Identifier: MIT\npragma solidity >=0.8.19;\n\nimport \"./Casting.sol\" as Casting;\nimport \"./Helpers.sol\" as Helpers;\nimport \"./Math.sol\" as Math;\n\n/// @notice The signed 59.18-decimal fixed-point number representation, which can have up to 59 digits and up to 18\n/// decimals. The values of this are bound by the minimum and the maximum values permitted by the underlying Solidity\n/// type int256.\ntype SD59x18 is int256;\n\n/*//////////////////////////////////////////////////////////////////////////\n                                    CASTING\n//////////////////////////////////////////////////////////////////////////*/\n\nusing {\n    Casting.intoInt256,\n    Casting.intoSD1x18,\n    Casting.intoSD21x18,\n    Casting.intoUD2x18,\n    Casting.intoUD21x18,\n    Casting.intoUD60x18,\n    Casting.intoUint256,\n    Casting.intoUint128,\n    Casting.intoUint40,\n    Casting.unwrap\n} for SD59x18 global;\n\n/*//////////////////////////////////////////////////////////////////////////\n                            MATHEMATICAL FUNCTIONS\n//////////////////////////////////////////////////////////////////////////*/\n\nusing {\n    Math.abs,\n    Math.avg,\n    Math.ceil,\n    Math.div,\n    Math.exp,\n    Math.exp2,\n    Math.floor,\n    Math.frac,\n    Math.gm,\n    Math.inv,\n    Math.log10,\n    Math.log2,\n    Math.ln,\n    Math.mul,\n    Math.pow,\n    Math.powu,\n    Math.sqrt\n} for SD59x18 global;\n\n/*//////////////////////////////////////////////////////////////////////////\n                                HELPER FUNCTIONS\n//////////////////////////////////////////////////////////////////////////*/\n\nusing {\n    Helpers.add,\n    Helpers.and,\n    Helpers.eq,\n    Helpers.gt,\n    Helpers.gte,\n    Helpers.isZero,\n    Helpers.lshift,\n    Helpers.lt,\n    Helpers.lte,\n    Helpers.mod,\n    Helpers.neq,\n    Helpers.not,\n    Helpers.or,\n    Helpers.rshift,\n    Helpers.sub,\n    Helpers.uncheckedAdd,\n    Helpers.uncheckedSub,\n    Helpers.uncheckedUnary,\n    Helpers.xor\n} for SD59x18 global;\n\n/*//////////////////////////////////////////////////////////////////////////\n                                    OPERATORS\n//////////////////////////////////////////////////////////////////////////*/\n\n// The global \"using for\" directive makes it possible to use these operators on the SD59x18 type.\nusing {\n    Helpers.add as +,\n    Helpers.and2 as &,\n    Math.div as /,\n    Helpers.eq as ==,\n    Helpers.gt as >,\n    Helpers.gte as >=,\n    Helpers.lt as <,\n    Helpers.lte as <=,\n    Helpers.mod as %,\n    Math.mul as *,\n    Helpers.neq as !=,\n    Helpers.not as ~,\n    Helpers.or as |,\n    Helpers.sub as -,\n    Helpers.unary as -,\n    Helpers.xor as ^\n} for SD59x18 global;\n"},"@prb/math/src/ud21x18/Casting.sol":{"content":"// SPDX-License-Identifier: MIT\npragma solidity >=0.8.19;\n\nimport \"../Common.sol\" as Common;\nimport \"./Errors.sol\" as Errors;\nimport { SD59x18 } from \"../sd59x18/ValueType.sol\";\nimport { UD60x18 } from \"../ud60x18/ValueType.sol\";\nimport { UD21x18 } from \"./ValueType.sol\";\n\n/// @notice Casts a UD21x18 number into SD59x18.\n/// @dev There is no overflow check because UD21x18 ⊆ SD59x18.\nfunction intoSD59x18(UD21x18 x) pure returns (SD59x18 result) {\n    result = SD59x18.wrap(int256(uint256(UD21x18.unwrap(x))));\n}\n\n/// @notice Casts a UD21x18 number into UD60x18.\n/// @dev There is no overflow check because UD21x18 ⊆ UD60x18.\nfunction intoUD60x18(UD21x18 x) pure returns (UD60x18 result) {\n    result = UD60x18.wrap(UD21x18.unwrap(x));\n}\n\n/// @notice Casts a UD21x18 number into uint128.\n/// @dev This is basically an alias for {unwrap}.\nfunction intoUint128(UD21x18 x) pure returns (uint128 result) {\n    result = UD21x18.unwrap(x);\n}\n\n/// @notice Casts a UD21x18 number into uint256.\n/// @dev There is no overflow check because UD21x18 ⊆ uint256.\nfunction intoUint256(UD21x18 x) pure returns (uint256 result) {\n    result = uint256(UD21x18.unwrap(x));\n}\n\n/// @notice Casts a UD21x18 number into uint40.\n/// @dev Requirements:\n/// - x ≤ MAX_UINT40\nfunction intoUint40(UD21x18 x) pure returns (uint40 result) {\n    uint128 xUint = UD21x18.unwrap(x);\n    if (xUint > uint128(Common.MAX_UINT40)) {\n        revert Errors.PRBMath_UD21x18_IntoUint40_Overflow(x);\n    }\n    result = uint40(xUint);\n}\n\n/// @notice Alias for {wrap}.\nfunction ud21x18(uint128 x) pure returns (UD21x18 result) {\n    result = UD21x18.wrap(x);\n}\n\n/// @notice Unwrap a UD21x18 number into uint128.\nfunction unwrap(UD21x18 x) pure returns (uint128 result) {\n    result = UD21x18.unwrap(x);\n}\n\n/// @notice Wraps a uint128 number into UD21x18.\nfunction wrap(uint128 x) pure returns (UD21x18 result) {\n    result = UD21x18.wrap(x);\n}\n"},"@prb/math/src/ud21x18/Constants.sol":{"content":"// SPDX-License-Identifier: MIT\npragma solidity >=0.8.19;\n\nimport { UD21x18 } from \"./ValueType.sol\";\n\n/// @dev Euler's number as a UD21x18 number.\nUD21x18 constant E = UD21x18.wrap(2_718281828459045235);\n\n/// @dev The maximum value a UD21x18 number can have.\nuint128 constant uMAX_UD21x18 = 340282366920938463463_374607431768211455;\nUD21x18 constant MAX_UD21x18 = UD21x18.wrap(uMAX_UD21x18);\n\n/// @dev PI as a UD21x18 number.\nUD21x18 constant PI = UD21x18.wrap(3_141592653589793238);\n\n/// @dev The unit number, which gives the decimal precision of UD21x18.\nuint256 constant uUNIT = 1e18;\nUD21x18 constant UNIT = UD21x18.wrap(1e18);\n"},"@prb/math/src/ud21x18/Errors.sol":{"content":"// SPDX-License-Identifier: MIT\npragma solidity >=0.8.19;\n\nimport { UD21x18 } from \"./ValueType.sol\";\n\n/// @notice Thrown when trying to cast a UD21x18 number that doesn't fit in uint40.\nerror PRBMath_UD21x18_IntoUint40_Overflow(UD21x18 x);\n"},"@prb/math/src/ud21x18/ValueType.sol":{"content":"// SPDX-License-Identifier: MIT\npragma solidity >=0.8.19;\n\nimport \"./Casting.sol\" as Casting;\n\n/// @notice The unsigned 21.18-decimal fixed-point number representation, which can have up to 21 digits and up to 18\n/// decimals. The values of this are bound by the minimum and the maximum values permitted by the underlying Solidity\n/// type uint128. This is useful when end users want to use uint128 to save gas, e.g. with tight variable packing in contract\n/// storage.\ntype UD21x18 is uint128;\n\n/*//////////////////////////////////////////////////////////////////////////\n                                    CASTING\n//////////////////////////////////////////////////////////////////////////*/\n\nusing {\n    Casting.intoSD59x18,\n    Casting.intoUD60x18,\n    Casting.intoUint128,\n    Casting.intoUint256,\n    Casting.intoUint40,\n    Casting.unwrap\n} for UD21x18 global;\n"},"@prb/math/src/ud2x18/Casting.sol":{"content":"// SPDX-License-Identifier: MIT\npragma solidity >=0.8.19;\n\nimport \"../Common.sol\" as Common;\nimport \"./Errors.sol\" as Errors;\nimport { SD59x18 } from \"../sd59x18/ValueType.sol\";\nimport { UD60x18 } from \"../ud60x18/ValueType.sol\";\nimport { UD2x18 } from \"./ValueType.sol\";\n\n/// @notice Casts a UD2x18 number into SD59x18.\n/// @dev There is no overflow check because UD2x18 ⊆ SD59x18.\nfunction intoSD59x18(UD2x18 x) pure returns (SD59x18 result) {\n    result = SD59x18.wrap(int256(uint256(UD2x18.unwrap(x))));\n}\n\n/// @notice Casts a UD2x18 number into UD60x18.\n/// @dev There is no overflow check because UD2x18 ⊆ UD60x18.\nfunction intoUD60x18(UD2x18 x) pure returns (UD60x18 result) {\n    result = UD60x18.wrap(UD2x18.unwrap(x));\n}\n\n/// @notice Casts a UD2x18 number into uint128.\n/// @dev There is no overflow check because UD2x18 ⊆ uint128.\nfunction intoUint128(UD2x18 x) pure returns (uint128 result) {\n    result = uint128(UD2x18.unwrap(x));\n}\n\n/// @notice Casts a UD2x18 number into uint256.\n/// @dev There is no overflow check because UD2x18 ⊆ uint256.\nfunction intoUint256(UD2x18 x) pure returns (uint256 result) {\n    result = uint256(UD2x18.unwrap(x));\n}\n\n/// @notice Casts a UD2x18 number into uint40.\n/// @dev Requirements:\n/// - x ≤ MAX_UINT40\nfunction intoUint40(UD2x18 x) pure returns (uint40 result) {\n    uint64 xUint = UD2x18.unwrap(x);\n    if (xUint > uint64(Common.MAX_UINT40)) {\n        revert Errors.PRBMath_UD2x18_IntoUint40_Overflow(x);\n    }\n    result = uint40(xUint);\n}\n\n/// @notice Alias for {wrap}.\nfunction ud2x18(uint64 x) pure returns (UD2x18 result) {\n    result = UD2x18.wrap(x);\n}\n\n/// @notice Unwrap a UD2x18 number into uint64.\nfunction unwrap(UD2x18 x) pure returns (uint64 result) {\n    result = UD2x18.unwrap(x);\n}\n\n/// @notice Wraps a uint64 number into UD2x18.\nfunction wrap(uint64 x) pure returns (UD2x18 result) {\n    result = UD2x18.wrap(x);\n}\n"},"@prb/math/src/ud2x18/Constants.sol":{"content":"// SPDX-License-Identifier: MIT\npragma solidity >=0.8.19;\n\nimport { UD2x18 } from \"./ValueType.sol\";\n\n/// @dev Euler's number as a UD2x18 number.\nUD2x18 constant E = UD2x18.wrap(2_718281828459045235);\n\n/// @dev The maximum value a UD2x18 number can have.\nuint64 constant uMAX_UD2x18 = 18_446744073709551615;\nUD2x18 constant MAX_UD2x18 = UD2x18.wrap(uMAX_UD2x18);\n\n/// @dev PI as a UD2x18 number.\nUD2x18 constant PI = UD2x18.wrap(3_141592653589793238);\n\n/// @dev The unit number, which gives the decimal precision of UD2x18.\nUD2x18 constant UNIT = UD2x18.wrap(1e18);\nuint64 constant uUNIT = 1e18;\n"},"@prb/math/src/ud2x18/Errors.sol":{"content":"// SPDX-License-Identifier: MIT\npragma solidity >=0.8.19;\n\nimport { UD2x18 } from \"./ValueType.sol\";\n\n/// @notice Thrown when trying to cast a UD2x18 number that doesn't fit in uint40.\nerror PRBMath_UD2x18_IntoUint40_Overflow(UD2x18 x);\n"},"@prb/math/src/ud2x18/ValueType.sol":{"content":"// SPDX-License-Identifier: MIT\npragma solidity >=0.8.19;\n\nimport \"./Casting.sol\" as Casting;\n\n/// @notice The unsigned 2.18-decimal fixed-point number representation, which can have up to 2 digits and up to 18\n/// decimals. The values of this are bound by the minimum and the maximum values permitted by the underlying Solidity\n/// type uint64. This is useful when end users want to use uint64 to save gas, e.g. with tight variable packing in contract\n/// storage.\ntype UD2x18 is uint64;\n\n/*//////////////////////////////////////////////////////////////////////////\n                                    CASTING\n//////////////////////////////////////////////////////////////////////////*/\n\nusing {\n    Casting.intoSD59x18,\n    Casting.intoUD60x18,\n    Casting.intoUint128,\n    Casting.intoUint256,\n    Casting.intoUint40,\n    Casting.unwrap\n} for UD2x18 global;\n"},"@prb/math/src/UD60x18.sol":{"content":"// SPDX-License-Identifier: MIT\npragma solidity >=0.8.19;\n\n/*\n\n██████╗ ██████╗ ██████╗ ███╗   ███╗ █████╗ ████████╗██╗  ██╗\n██╔══██╗██╔══██╗██╔══██╗████╗ ████║██╔══██╗╚══██╔══╝██║  ██║\n██████╔╝██████╔╝██████╔╝██╔████╔██║███████║   ██║   ███████║\n██╔═══╝ ██╔══██╗██╔══██╗██║╚██╔╝██║██╔══██║   ██║   ██╔══██║\n██║     ██║  ██║██████╔╝██║ ╚═╝ ██║██║  ██║   ██║   ██║  ██║\n╚═╝     ╚═╝  ╚═╝╚═════╝ ╚═╝     ╚═╝╚═╝  ╚═╝   ╚═╝   ╚═╝  ╚═╝\n\n██╗   ██╗██████╗  ██████╗  ██████╗ ██╗  ██╗ ██╗ █████╗\n██║   ██║██╔══██╗██╔════╝ ██╔═████╗╚██╗██╔╝███║██╔══██╗\n██║   ██║██║  ██║███████╗ ██║██╔██║ ╚███╔╝ ╚██║╚█████╔╝\n██║   ██║██║  ██║██╔═══██╗████╔╝██║ ██╔██╗  ██║██╔══██╗\n╚██████╔╝██████╔╝╚██████╔╝╚██████╔╝██╔╝ ██╗ ██║╚█████╔╝\n ╚═════╝ ╚═════╝  ╚═════╝  ╚═════╝ ╚═╝  ╚═╝ ╚═╝ ╚════╝\n\n*/\n\nimport \"./ud60x18/Casting.sol\";\nimport \"./ud60x18/Constants.sol\";\nimport \"./ud60x18/Conversions.sol\";\nimport \"./ud60x18/Errors.sol\";\nimport \"./ud60x18/Helpers.sol\";\nimport \"./ud60x18/Math.sol\";\nimport \"./ud60x18/ValueType.sol\";\n"},"@prb/math/src/ud60x18/Casting.sol":{"content":"// SPDX-License-Identifier: MIT\npragma solidity >=0.8.19;\n\nimport \"./Errors.sol\" as CastingErrors;\nimport { MAX_UINT128, MAX_UINT40 } from \"../Common.sol\";\nimport { uMAX_SD1x18 } from \"../sd1x18/Constants.sol\";\nimport { SD1x18 } from \"../sd1x18/ValueType.sol\";\nimport { uMAX_SD21x18 } from \"../sd21x18/Constants.sol\";\nimport { SD21x18 } from \"../sd21x18/ValueType.sol\";\nimport { uMAX_SD59x18 } from \"../sd59x18/Constants.sol\";\nimport { SD59x18 } from \"../sd59x18/ValueType.sol\";\nimport { uMAX_UD2x18 } from \"../ud2x18/Constants.sol\";\nimport { uMAX_UD21x18 } from \"../ud21x18/Constants.sol\";\nimport { UD2x18 } from \"../ud2x18/ValueType.sol\";\nimport { UD21x18 } from \"../ud21x18/ValueType.sol\";\nimport { UD60x18 } from \"./ValueType.sol\";\n\n/// @notice Casts a UD60x18 number into SD1x18.\n/// @dev Requirements:\n/// - x ≤ uMAX_SD1x18\nfunction intoSD1x18(UD60x18 x) pure returns (SD1x18 result) {\n    uint256 xUint = UD60x18.unwrap(x);\n    if (xUint > uint256(int256(uMAX_SD1x18))) {\n        revert CastingErrors.PRBMath_UD60x18_IntoSD1x18_Overflow(x);\n    }\n    result = SD1x18.wrap(int64(uint64(xUint)));\n}\n\n/// @notice Casts a UD60x18 number into SD21x18.\n/// @dev Requirements:\n/// - x ≤ uMAX_SD21x18\nfunction intoSD21x18(UD60x18 x) pure returns (SD21x18 result) {\n    uint256 xUint = UD60x18.unwrap(x);\n    if (xUint > uint256(int256(uMAX_SD21x18))) {\n        revert CastingErrors.PRBMath_UD60x18_IntoSD21x18_Overflow(x);\n    }\n    result = SD21x18.wrap(int128(uint128(xUint)));\n}\n\n/// @notice Casts a UD60x18 number into UD2x18.\n/// @dev Requirements:\n/// - x ≤ uMAX_UD2x18\nfunction intoUD2x18(UD60x18 x) pure returns (UD2x18 result) {\n    uint256 xUint = UD60x18.unwrap(x);\n    if (xUint > uMAX_UD2x18) {\n        revert CastingErrors.PRBMath_UD60x18_IntoUD2x18_Overflow(x);\n    }\n    result = UD2x18.wrap(uint64(xUint));\n}\n\n/// @notice Casts a UD60x18 number into UD21x18.\n/// @dev Requirements:\n/// - x ≤ uMAX_UD21x18\nfunction intoUD21x18(UD60x18 x) pure returns (UD21x18 result) {\n    uint256 xUint = UD60x18.unwrap(x);\n    if (xUint > uMAX_UD21x18) {\n        revert CastingErrors.PRBMath_UD60x18_IntoUD21x18_Overflow(x);\n    }\n    result = UD21x18.wrap(uint128(xUint));\n}\n\n/// @notice Casts a UD60x18 number into SD59x18.\n/// @dev Requirements:\n/// - x ≤ uMAX_SD59x18\nfunction intoSD59x18(UD60x18 x) pure returns (SD59x18 result) {\n    uint256 xUint = UD60x18.unwrap(x);\n    if (xUint > uint256(uMAX_SD59x18)) {\n        revert CastingErrors.PRBMath_UD60x18_IntoSD59x18_Overflow(x);\n    }\n    result = SD59x18.wrap(int256(xUint));\n}\n\n/// @notice Casts a UD60x18 number into uint128.\n/// @dev This is basically an alias for {unwrap}.\nfunction intoUint256(UD60x18 x) pure returns (uint256 result) {\n    result = UD60x18.unwrap(x);\n}\n\n/// @notice Casts a UD60x18 number into uint128.\n/// @dev Requirements:\n/// - x ≤ MAX_UINT128\nfunction intoUint128(UD60x18 x) pure returns (uint128 result) {\n    uint256 xUint = UD60x18.unwrap(x);\n    if (xUint > MAX_UINT128) {\n        revert CastingErrors.PRBMath_UD60x18_IntoUint128_Overflow(x);\n    }\n    result = uint128(xUint);\n}\n\n/// @notice Casts a UD60x18 number into uint40.\n/// @dev Requirements:\n/// - x ≤ MAX_UINT40\nfunction intoUint40(UD60x18 x) pure returns (uint40 result) {\n    uint256 xUint = UD60x18.unwrap(x);\n    if (xUint > MAX_UINT40) {\n        revert CastingErrors.PRBMath_UD60x18_IntoUint40_Overflow(x);\n    }\n    result = uint40(xUint);\n}\n\n/// @notice Alias for {wrap}.\nfunction ud(uint256 x) pure returns (UD60x18 result) {\n    result = UD60x18.wrap(x);\n}\n\n/// @notice Alias for {wrap}.\nfunction ud60x18(uint256 x) pure returns (UD60x18 result) {\n    result = UD60x18.wrap(x);\n}\n\n/// @notice Unwraps a UD60x18 number into uint256.\nfunction unwrap(UD60x18 x) pure returns (uint256 result) {\n    result = UD60x18.unwrap(x);\n}\n\n/// @notice Wraps a uint256 number into the UD60x18 value type.\nfunction wrap(uint256 x) pure returns (UD60x18 result) {\n    result = UD60x18.wrap(x);\n}\n"},"@prb/math/src/ud60x18/Constants.sol":{"content":"// SPDX-License-Identifier: MIT\npragma solidity >=0.8.19;\n\nimport { UD60x18 } from \"./ValueType.sol\";\n\n// NOTICE: the \"u\" prefix stands for \"unwrapped\".\n\n/// @dev Euler's number as a UD60x18 number.\nUD60x18 constant E = UD60x18.wrap(2_718281828459045235);\n\n/// @dev The maximum input permitted in {exp}.\nuint256 constant uEXP_MAX_INPUT = 133_084258667509499440;\nUD60x18 constant EXP_MAX_INPUT = UD60x18.wrap(uEXP_MAX_INPUT);\n\n/// @dev The maximum input permitted in {exp2}.\nuint256 constant uEXP2_MAX_INPUT = 192e18 - 1;\nUD60x18 constant EXP2_MAX_INPUT = UD60x18.wrap(uEXP2_MAX_INPUT);\n\n/// @dev Half the UNIT number.\nuint256 constant uHALF_UNIT = 0.5e18;\nUD60x18 constant HALF_UNIT = UD60x18.wrap(uHALF_UNIT);\n\n/// @dev $log_2(10)$ as a UD60x18 number.\nuint256 constant uLOG2_10 = 3_321928094887362347;\nUD60x18 constant LOG2_10 = UD60x18.wrap(uLOG2_10);\n\n/// @dev $log_2(e)$ as a UD60x18 number.\nuint256 constant uLOG2_E = 1_442695040888963407;\nUD60x18 constant LOG2_E = UD60x18.wrap(uLOG2_E);\n\n/// @dev The maximum value a UD60x18 number can have.\nuint256 constant uMAX_UD60x18 = 115792089237316195423570985008687907853269984665640564039457_584007913129639935;\nUD60x18 constant MAX_UD60x18 = UD60x18.wrap(uMAX_UD60x18);\n\n/// @dev The maximum whole value a UD60x18 number can have.\nuint256 constant uMAX_WHOLE_UD60x18 = 115792089237316195423570985008687907853269984665640564039457_000000000000000000;\nUD60x18 constant MAX_WHOLE_UD60x18 = UD60x18.wrap(uMAX_WHOLE_UD60x18);\n\n/// @dev PI as a UD60x18 number.\nUD60x18 constant PI = UD60x18.wrap(3_141592653589793238);\n\n/// @dev The unit number, which gives the decimal precision of UD60x18.\nuint256 constant uUNIT = 1e18;\nUD60x18 constant UNIT = UD60x18.wrap(uUNIT);\n\n/// @dev The unit number squared.\nuint256 constant uUNIT_SQUARED = 1e36;\nUD60x18 constant UNIT_SQUARED = UD60x18.wrap(uUNIT_SQUARED);\n\n/// @dev Zero as a UD60x18 number.\nUD60x18 constant ZERO = UD60x18.wrap(0);\n"},"@prb/math/src/ud60x18/Conversions.sol":{"content":"// SPDX-License-Identifier: MIT\npragma solidity >=0.8.19;\n\nimport { uMAX_UD60x18, uUNIT } from \"./Constants.sol\";\nimport { PRBMath_UD60x18_Convert_Overflow } from \"./Errors.sol\";\nimport { UD60x18 } from \"./ValueType.sol\";\n\n/// @notice Converts a UD60x18 number to a simple integer by dividing it by `UNIT`.\n/// @dev The result is rounded toward zero.\n/// @param x The UD60x18 number to convert.\n/// @return result The same number in basic integer form.\nfunction convert(UD60x18 x) pure returns (uint256 result) {\n    result = UD60x18.unwrap(x) / uUNIT;\n}\n\n/// @notice Converts a simple integer to UD60x18 by multiplying it by `UNIT`.\n///\n/// @dev Requirements:\n/// - x ≤ MAX_UD60x18 / UNIT\n///\n/// @param x The basic integer to convert.\n/// @return result The same number converted to UD60x18.\nfunction convert(uint256 x) pure returns (UD60x18 result) {\n    if (x > uMAX_UD60x18 / uUNIT) {\n        revert PRBMath_UD60x18_Convert_Overflow(x);\n    }\n    unchecked {\n        result = UD60x18.wrap(x * uUNIT);\n    }\n}\n"},"@prb/math/src/ud60x18/Errors.sol":{"content":"// SPDX-License-Identifier: MIT\npragma solidity >=0.8.19;\n\nimport { UD60x18 } from \"./ValueType.sol\";\n\n/// @notice Thrown when ceiling a number overflows UD60x18.\nerror PRBMath_UD60x18_Ceil_Overflow(UD60x18 x);\n\n/// @notice Thrown when converting a basic integer to the fixed-point format overflows UD60x18.\nerror PRBMath_UD60x18_Convert_Overflow(uint256 x);\n\n/// @notice Thrown when taking the natural exponent of a base greater than 133_084258667509499441.\nerror PRBMath_UD60x18_Exp_InputTooBig(UD60x18 x);\n\n/// @notice Thrown when taking the binary exponent of a base greater than 192e18.\nerror PRBMath_UD60x18_Exp2_InputTooBig(UD60x18 x);\n\n/// @notice Thrown when taking the geometric mean of two numbers and multiplying them overflows UD60x18.\nerror PRBMath_UD60x18_Gm_Overflow(UD60x18 x, UD60x18 y);\n\n/// @notice Thrown when trying to cast a UD60x18 number that doesn't fit in SD1x18.\nerror PRBMath_UD60x18_IntoSD1x18_Overflow(UD60x18 x);\n\n/// @notice Thrown when trying to cast a UD60x18 number that doesn't fit in SD21x18.\nerror PRBMath_UD60x18_IntoSD21x18_Overflow(UD60x18 x);\n\n/// @notice Thrown when trying to cast a UD60x18 number that doesn't fit in SD59x18.\nerror PRBMath_UD60x18_IntoSD59x18_Overflow(UD60x18 x);\n\n/// @notice Thrown when trying to cast a UD60x18 number that doesn't fit in UD2x18.\nerror PRBMath_UD60x18_IntoUD2x18_Overflow(UD60x18 x);\n\n/// @notice Thrown when trying to cast a UD60x18 number that doesn't fit in UD21x18.\nerror PRBMath_UD60x18_IntoUD21x18_Overflow(UD60x18 x);\n\n/// @notice Thrown when trying to cast a UD60x18 number that doesn't fit in uint128.\nerror PRBMath_UD60x18_IntoUint128_Overflow(UD60x18 x);\n\n/// @notice Thrown when trying to cast a UD60x18 number that doesn't fit in uint40.\nerror PRBMath_UD60x18_IntoUint40_Overflow(UD60x18 x);\n\n/// @notice Thrown when taking the logarithm of a number less than UNIT.\nerror PRBMath_UD60x18_Log_InputTooSmall(UD60x18 x);\n\n/// @notice Thrown when calculating the square root overflows UD60x18.\nerror PRBMath_UD60x18_Sqrt_Overflow(UD60x18 x);\n"},"@prb/math/src/ud60x18/Helpers.sol":{"content":"// SPDX-License-Identifier: MIT\npragma solidity >=0.8.19;\n\nimport { wrap } from \"./Casting.sol\";\nimport { UD60x18 } from \"./ValueType.sol\";\n\n/// @notice Implements the checked addition operation (+) in the UD60x18 type.\nfunction add(UD60x18 x, UD60x18 y) pure returns (UD60x18 result) {\n    result = wrap(x.unwrap() + y.unwrap());\n}\n\n/// @notice Implements the AND (&) bitwise operation in the UD60x18 type.\nfunction and(UD60x18 x, uint256 bits) pure returns (UD60x18 result) {\n    result = wrap(x.unwrap() & bits);\n}\n\n/// @notice Implements the AND (&) bitwise operation in the UD60x18 type.\nfunction and2(UD60x18 x, UD60x18 y) pure returns (UD60x18 result) {\n    result = wrap(x.unwrap() & y.unwrap());\n}\n\n/// @notice Implements the equal operation (==) in the UD60x18 type.\nfunction eq(UD60x18 x, UD60x18 y) pure returns (bool result) {\n    result = x.unwrap() == y.unwrap();\n}\n\n/// @notice Implements the greater than operation (>) in the UD60x18 type.\nfunction gt(UD60x18 x, UD60x18 y) pure returns (bool result) {\n    result = x.unwrap() > y.unwrap();\n}\n\n/// @notice Implements the greater than or equal to operation (>=) in the UD60x18 type.\nfunction gte(UD60x18 x, UD60x18 y) pure returns (bool result) {\n    result = x.unwrap() >= y.unwrap();\n}\n\n/// @notice Implements a zero comparison check function in the UD60x18 type.\nfunction isZero(UD60x18 x) pure returns (bool result) {\n    // This wouldn't work if x could be negative.\n    result = x.unwrap() == 0;\n}\n\n/// @notice Implements the left shift operation (<<) in the UD60x18 type.\nfunction lshift(UD60x18 x, uint256 bits) pure returns (UD60x18 result) {\n    result = wrap(x.unwrap() << bits);\n}\n\n/// @notice Implements the lower than operation (<) in the UD60x18 type.\nfunction lt(UD60x18 x, UD60x18 y) pure returns (bool result) {\n    result = x.unwrap() < y.unwrap();\n}\n\n/// @notice Implements the lower than or equal to operation (<=) in the UD60x18 type.\nfunction lte(UD60x18 x, UD60x18 y) pure returns (bool result) {\n    result = x.unwrap() <= y.unwrap();\n}\n\n/// @notice Implements the checked modulo operation (%) in the UD60x18 type.\nfunction mod(UD60x18 x, UD60x18 y) pure returns (UD60x18 result) {\n    result = wrap(x.unwrap() % y.unwrap());\n}\n\n/// @notice Implements the not equal operation (!=) in the UD60x18 type.\nfunction neq(UD60x18 x, UD60x18 y) pure returns (bool result) {\n    result = x.unwrap() != y.unwrap();\n}\n\n/// @notice Implements the NOT (~) bitwise operation in the UD60x18 type.\nfunction not(UD60x18 x) pure returns (UD60x18 result) {\n    result = wrap(~x.unwrap());\n}\n\n/// @notice Implements the OR (|) bitwise operation in the UD60x18 type.\nfunction or(UD60x18 x, UD60x18 y) pure returns (UD60x18 result) {\n    result = wrap(x.unwrap() | y.unwrap());\n}\n\n/// @notice Implements the right shift operation (>>) in the UD60x18 type.\nfunction rshift(UD60x18 x, uint256 bits) pure returns (UD60x18 result) {\n    result = wrap(x.unwrap() >> bits);\n}\n\n/// @notice Implements the checked subtraction operation (-) in the UD60x18 type.\nfunction sub(UD60x18 x, UD60x18 y) pure returns (UD60x18 result) {\n    result = wrap(x.unwrap() - y.unwrap());\n}\n\n/// @notice Implements the unchecked addition operation (+) in the UD60x18 type.\nfunction uncheckedAdd(UD60x18 x, UD60x18 y) pure returns (UD60x18 result) {\n    unchecked {\n        result = wrap(x.unwrap() + y.unwrap());\n    }\n}\n\n/// @notice Implements the unchecked subtraction operation (-) in the UD60x18 type.\nfunction uncheckedSub(UD60x18 x, UD60x18 y) pure returns (UD60x18 result) {\n    unchecked {\n        result = wrap(x.unwrap() - y.unwrap());\n    }\n}\n\n/// @notice Implements the XOR (^) bitwise operation in the UD60x18 type.\nfunction xor(UD60x18 x, UD60x18 y) pure returns (UD60x18 result) {\n    result = wrap(x.unwrap() ^ y.unwrap());\n}\n"},"@prb/math/src/ud60x18/Math.sol":{"content":"// SPDX-License-Identifier: MIT\npragma solidity >=0.8.19;\n\nimport \"../Common.sol\" as Common;\nimport \"./Errors.sol\" as Errors;\nimport { wrap } from \"./Casting.sol\";\nimport {\n    uEXP_MAX_INPUT,\n    uEXP2_MAX_INPUT,\n    uHALF_UNIT,\n    uLOG2_10,\n    uLOG2_E,\n    uMAX_UD60x18,\n    uMAX_WHOLE_UD60x18,\n    UNIT,\n    uUNIT,\n    uUNIT_SQUARED,\n    ZERO\n} from \"./Constants.sol\";\nimport { UD60x18 } from \"./ValueType.sol\";\n\n/*//////////////////////////////////////////////////////////////////////////\n                            MATHEMATICAL FUNCTIONS\n//////////////////////////////////////////////////////////////////////////*/\n\n/// @notice Calculates the arithmetic average of x and y using the following formula:\n///\n/// $$\n/// avg(x, y) = (x & y) + ((xUint ^ yUint) / 2)\n/// $$\n///\n/// In English, this is what this formula does:\n///\n/// 1. AND x and y.\n/// 2. Calculate half of XOR x and y.\n/// 3. Add the two results together.\n///\n/// This technique is known as SWAR, which stands for \"SIMD within a register\". You can read more about it here:\n/// https://devblogs.microsoft.com/oldnewthing/20220207-00/?p=106223\n///\n/// @dev Notes:\n/// - The result is rounded toward zero.\n///\n/// @param x The first operand as a UD60x18 number.\n/// @param y The second operand as a UD60x18 number.\n/// @return result The arithmetic average as a UD60x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction avg(UD60x18 x, UD60x18 y) pure returns (UD60x18 result) {\n    uint256 xUint = x.unwrap();\n    uint256 yUint = y.unwrap();\n    unchecked {\n        result = wrap((xUint & yUint) + ((xUint ^ yUint) >> 1));\n    }\n}\n\n/// @notice Yields the smallest whole number greater than or equal to x.\n///\n/// @dev This is optimized for fractional value inputs, because for every whole value there are (1e18 - 1) fractional\n/// counterparts. See https://en.wikipedia.org/wiki/Floor_and_ceiling_functions.\n///\n/// Requirements:\n/// - x ≤ MAX_WHOLE_UD60x18\n///\n/// @param x The UD60x18 number to ceil.\n/// @return result The smallest whole number greater than or equal to x, as a UD60x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction ceil(UD60x18 x) pure returns (UD60x18 result) {\n    uint256 xUint = x.unwrap();\n    if (xUint > uMAX_WHOLE_UD60x18) {\n        revert Errors.PRBMath_UD60x18_Ceil_Overflow(x);\n    }\n\n    assembly (\"memory-safe\") {\n        // Equivalent to `x % UNIT`.\n        let remainder := mod(x, uUNIT)\n\n        // Equivalent to `UNIT - remainder`.\n        let delta := sub(uUNIT, remainder)\n\n        // Equivalent to `x + remainder > 0 ? delta : 0`.\n        result := add(x, mul(delta, gt(remainder, 0)))\n    }\n}\n\n/// @notice Divides two UD60x18 numbers, returning a new UD60x18 number.\n///\n/// @dev Uses {Common.mulDiv} to enable overflow-safe multiplication and division.\n///\n/// Notes:\n/// - Refer to the notes in {Common.mulDiv}.\n///\n/// Requirements:\n/// - Refer to the requirements in {Common.mulDiv}.\n///\n/// @param x The numerator as a UD60x18 number.\n/// @param y The denominator as a UD60x18 number.\n/// @return result The quotient as a UD60x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction div(UD60x18 x, UD60x18 y) pure returns (UD60x18 result) {\n    result = wrap(Common.mulDiv(x.unwrap(), uUNIT, y.unwrap()));\n}\n\n/// @notice Calculates the natural exponent of x using the following formula:\n///\n/// $$\n/// e^x = 2^{x * log_2{e}}\n/// $$\n///\n/// @dev Requirements:\n/// - x ≤ 133_084258667509499440\n///\n/// @param x The exponent as a UD60x18 number.\n/// @return result The result as a UD60x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction exp(UD60x18 x) pure returns (UD60x18 result) {\n    uint256 xUint = x.unwrap();\n\n    // This check prevents values greater than 192e18 from being passed to {exp2}.\n    if (xUint > uEXP_MAX_INPUT) {\n        revert Errors.PRBMath_UD60x18_Exp_InputTooBig(x);\n    }\n\n    unchecked {\n        // Inline the fixed-point multiplication to save gas.\n        uint256 doubleUnitProduct = xUint * uLOG2_E;\n        result = exp2(wrap(doubleUnitProduct / uUNIT));\n    }\n}\n\n/// @notice Calculates the binary exponent of x using the binary fraction method.\n///\n/// @dev See https://ethereum.stackexchange.com/q/79903/24693\n///\n/// Requirements:\n/// - x < 192e18\n/// - The result must fit in UD60x18.\n///\n/// @param x The exponent as a UD60x18 number.\n/// @return result The result as a UD60x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction exp2(UD60x18 x) pure returns (UD60x18 result) {\n    uint256 xUint = x.unwrap();\n\n    // Numbers greater than or equal to 192e18 don't fit in the 192.64-bit format.\n    if (xUint > uEXP2_MAX_INPUT) {\n        revert Errors.PRBMath_UD60x18_Exp2_InputTooBig(x);\n    }\n\n    // Convert x to the 192.64-bit fixed-point format.\n    uint256 x_192x64 = (xUint << 64) / uUNIT;\n\n    // Pass x to the {Common.exp2} function, which uses the 192.64-bit fixed-point number representation.\n    result = wrap(Common.exp2(x_192x64));\n}\n\n/// @notice Yields the greatest whole number less than or equal to x.\n/// @dev Optimized for fractional value inputs, because every whole value has (1e18 - 1) fractional counterparts.\n/// See https://en.wikipedia.org/wiki/Floor_and_ceiling_functions.\n/// @param x The UD60x18 number to floor.\n/// @return result The greatest whole number less than or equal to x, as a UD60x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction floor(UD60x18 x) pure returns (UD60x18 result) {\n    assembly (\"memory-safe\") {\n        // Equivalent to `x % UNIT`.\n        let remainder := mod(x, uUNIT)\n\n        // Equivalent to `x - remainder > 0 ? remainder : 0)`.\n        result := sub(x, mul(remainder, gt(remainder, 0)))\n    }\n}\n\n/// @notice Yields the excess beyond the floor of x using the odd function definition.\n/// @dev See https://en.wikipedia.org/wiki/Fractional_part.\n/// @param x The UD60x18 number to get the fractional part of.\n/// @return result The fractional part of x as a UD60x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction frac(UD60x18 x) pure returns (UD60x18 result) {\n    assembly (\"memory-safe\") {\n        result := mod(x, uUNIT)\n    }\n}\n\n/// @notice Calculates the geometric mean of x and y, i.e. $\\sqrt{x * y}$, rounding down.\n///\n/// @dev Requirements:\n/// - x * y must fit in UD60x18.\n///\n/// @param x The first operand as a UD60x18 number.\n/// @param y The second operand as a UD60x18 number.\n/// @return result The result as a UD60x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction gm(UD60x18 x, UD60x18 y) pure returns (UD60x18 result) {\n    uint256 xUint = x.unwrap();\n    uint256 yUint = y.unwrap();\n    if (xUint == 0 || yUint == 0) {\n        return ZERO;\n    }\n\n    unchecked {\n        // Checking for overflow this way is faster than letting Solidity do it.\n        uint256 xyUint = xUint * yUint;\n        if (xyUint / xUint != yUint) {\n            revert Errors.PRBMath_UD60x18_Gm_Overflow(x, y);\n        }\n\n        // We don't need to multiply the result by `UNIT` here because the x*y product picked up a factor of `UNIT`\n        // during multiplication. See the comments in {Common.sqrt}.\n        result = wrap(Common.sqrt(xyUint));\n    }\n}\n\n/// @notice Calculates the inverse of x.\n///\n/// @dev Notes:\n/// - The result is rounded toward zero.\n///\n/// Requirements:\n/// - x must not be zero.\n///\n/// @param x The UD60x18 number for which to calculate the inverse.\n/// @return result The inverse as a UD60x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction inv(UD60x18 x) pure returns (UD60x18 result) {\n    unchecked {\n        result = wrap(uUNIT_SQUARED / x.unwrap());\n    }\n}\n\n/// @notice Calculates the natural logarithm of x using the following formula:\n///\n/// $$\n/// ln{x} = log_2{x} / log_2{e}\n/// $$\n///\n/// @dev Notes:\n/// - Refer to the notes in {log2}.\n/// - The precision isn't sufficiently fine-grained to return exactly `UNIT` when the input is `E`.\n///\n/// Requirements:\n/// - Refer to the requirements in {log2}.\n///\n/// @param x The UD60x18 number for which to calculate the natural logarithm.\n/// @return result The natural logarithm as a UD60x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction ln(UD60x18 x) pure returns (UD60x18 result) {\n    unchecked {\n        // Inline the fixed-point multiplication to save gas. This is overflow-safe because the maximum value that\n        // {log2} can return is ~196_205294292027477728.\n        result = wrap(log2(x).unwrap() * uUNIT / uLOG2_E);\n    }\n}\n\n/// @notice Calculates the common logarithm of x using the following formula:\n///\n/// $$\n/// log_{10}{x} = log_2{x} / log_2{10}\n/// $$\n///\n/// However, if x is an exact power of ten, a hard coded value is returned.\n///\n/// @dev Notes:\n/// - Refer to the notes in {log2}.\n///\n/// Requirements:\n/// - Refer to the requirements in {log2}.\n///\n/// @param x The UD60x18 number for which to calculate the common logarithm.\n/// @return result The common logarithm as a UD60x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction log10(UD60x18 x) pure returns (UD60x18 result) {\n    uint256 xUint = x.unwrap();\n    if (xUint < uUNIT) {\n        revert Errors.PRBMath_UD60x18_Log_InputTooSmall(x);\n    }\n\n    // Note that the `mul` in this assembly block is the standard multiplication operation, not {UD60x18.mul}.\n    // prettier-ignore\n    assembly (\"memory-safe\") {\n        switch x\n        case 1 { result := mul(uUNIT, sub(0, 18)) }\n        case 10 { result := mul(uUNIT, sub(1, 18)) }\n        case 100 { result := mul(uUNIT, sub(2, 18)) }\n        case 1000 { result := mul(uUNIT, sub(3, 18)) }\n        case 10000 { result := mul(uUNIT, sub(4, 18)) }\n        case 100000 { result := mul(uUNIT, sub(5, 18)) }\n        case 1000000 { result := mul(uUNIT, sub(6, 18)) }\n        case 10000000 { result := mul(uUNIT, sub(7, 18)) }\n        case 100000000 { result := mul(uUNIT, sub(8, 18)) }\n        case 1000000000 { result := mul(uUNIT, sub(9, 18)) }\n        case 10000000000 { result := mul(uUNIT, sub(10, 18)) }\n        case 100000000000 { result := mul(uUNIT, sub(11, 18)) }\n        case 1000000000000 { result := mul(uUNIT, sub(12, 18)) }\n        case 10000000000000 { result := mul(uUNIT, sub(13, 18)) }\n        case 100000000000000 { result := mul(uUNIT, sub(14, 18)) }\n        case 1000000000000000 { result := mul(uUNIT, sub(15, 18)) }\n        case 10000000000000000 { result := mul(uUNIT, sub(16, 18)) }\n        case 100000000000000000 { result := mul(uUNIT, sub(17, 18)) }\n        case 1000000000000000000 { result := 0 }\n        case 10000000000000000000 { result := uUNIT }\n        case 100000000000000000000 { result := mul(uUNIT, 2) }\n        case 1000000000000000000000 { result := mul(uUNIT, 3) }\n        case 10000000000000000000000 { result := mul(uUNIT, 4) }\n        case 100000000000000000000000 { result := mul(uUNIT, 5) }\n        case 1000000000000000000000000 { result := mul(uUNIT, 6) }\n        case 10000000000000000000000000 { result := mul(uUNIT, 7) }\n        case 100000000000000000000000000 { result := mul(uUNIT, 8) }\n        case 1000000000000000000000000000 { result := mul(uUNIT, 9) }\n        case 10000000000000000000000000000 { result := mul(uUNIT, 10) }\n        case 100000000000000000000000000000 { result := mul(uUNIT, 11) }\n        case 1000000000000000000000000000000 { result := mul(uUNIT, 12) }\n        case 10000000000000000000000000000000 { result := mul(uUNIT, 13) }\n        case 100000000000000000000000000000000 { result := mul(uUNIT, 14) }\n        case 1000000000000000000000000000000000 { result := mul(uUNIT, 15) }\n        case 10000000000000000000000000000000000 { result := mul(uUNIT, 16) }\n        case 100000000000000000000000000000000000 { result := mul(uUNIT, 17) }\n        case 1000000000000000000000000000000000000 { result := mul(uUNIT, 18) }\n        case 10000000000000000000000000000000000000 { result := mul(uUNIT, 19) }\n        case 100000000000000000000000000000000000000 { result := mul(uUNIT, 20) }\n        case 1000000000000000000000000000000000000000 { result := mul(uUNIT, 21) }\n        case 10000000000000000000000000000000000000000 { result := mul(uUNIT, 22) }\n        case 100000000000000000000000000000000000000000 { result := mul(uUNIT, 23) }\n        case 1000000000000000000000000000000000000000000 { result := mul(uUNIT, 24) }\n        case 10000000000000000000000000000000000000000000 { result := mul(uUNIT, 25) }\n        case 100000000000000000000000000000000000000000000 { result := mul(uUNIT, 26) }\n        case 1000000000000000000000000000000000000000000000 { result := mul(uUNIT, 27) }\n        case 10000000000000000000000000000000000000000000000 { result := mul(uUNIT, 28) }\n        case 100000000000000000000000000000000000000000000000 { result := mul(uUNIT, 29) }\n        case 1000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 30) }\n        case 10000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 31) }\n        case 100000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 32) }\n        case 1000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 33) }\n        case 10000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 34) }\n        case 100000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 35) }\n        case 1000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 36) }\n        case 10000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 37) }\n        case 100000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 38) }\n        case 1000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 39) }\n        case 10000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 40) }\n        case 100000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 41) }\n        case 1000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 42) }\n        case 10000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 43) }\n        case 100000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 44) }\n        case 1000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 45) }\n        case 10000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 46) }\n        case 100000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 47) }\n        case 1000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 48) }\n        case 10000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 49) }\n        case 100000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 50) }\n        case 1000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 51) }\n        case 10000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 52) }\n        case 100000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 53) }\n        case 1000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 54) }\n        case 10000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 55) }\n        case 100000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 56) }\n        case 1000000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 57) }\n        case 10000000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 58) }\n        case 100000000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 59) }\n        default { result := uMAX_UD60x18 }\n    }\n\n    if (result.unwrap() == uMAX_UD60x18) {\n        unchecked {\n            // Inline the fixed-point division to save gas.\n            result = wrap(log2(x).unwrap() * uUNIT / uLOG2_10);\n        }\n    }\n}\n\n/// @notice Calculates the binary logarithm of x using the iterative approximation algorithm:\n///\n/// $$\n/// log_2{x} = n + log_2{y}, \\text{ where } y = x*2^{-n}, \\ y \\in [1, 2)\n/// $$\n///\n/// For $0 \\leq x \\lt 1$, the input is inverted:\n///\n/// $$\n/// log_2{x} = -log_2{\\frac{1}{x}}\n/// $$\n///\n/// @dev See https://en.wikipedia.org/wiki/Binary_logarithm#Iterative_approximation\n///\n/// Notes:\n/// - Due to the lossy precision of the iterative approximation, the results are not perfectly accurate to the last decimal.\n///\n/// Requirements:\n/// - x ≥ UNIT\n///\n/// @param x The UD60x18 number for which to calculate the binary logarithm.\n/// @return result The binary logarithm as a UD60x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction log2(UD60x18 x) pure returns (UD60x18 result) {\n    uint256 xUint = x.unwrap();\n\n    if (xUint < uUNIT) {\n        revert Errors.PRBMath_UD60x18_Log_InputTooSmall(x);\n    }\n\n    unchecked {\n        // Calculate the integer part of the logarithm.\n        uint256 n = Common.msb(xUint / uUNIT);\n\n        // This is the integer part of the logarithm as a UD60x18 number. The operation can't overflow because n\n        // n is at most 255 and UNIT is 1e18.\n        uint256 resultUint = n * uUNIT;\n\n        // Calculate $y = x * 2^{-n}$.\n        uint256 y = xUint >> n;\n\n        // If y is the unit number, the fractional part is zero.\n        if (y == uUNIT) {\n            return wrap(resultUint);\n        }\n\n        // Calculate the fractional part via the iterative approximation.\n        // The `delta >>= 1` part is equivalent to `delta /= 2`, but shifting bits is more gas efficient.\n        uint256 DOUBLE_UNIT = 2e18;\n        for (uint256 delta = uHALF_UNIT; delta > 0; delta >>= 1) {\n            y = (y * y) / uUNIT;\n\n            // Is y^2 >= 2e18 and so in the range [2e18, 4e18)?\n            if (y >= DOUBLE_UNIT) {\n                // Add the 2^{-m} factor to the logarithm.\n                resultUint += delta;\n\n                // Halve y, which corresponds to z/2 in the Wikipedia article.\n                y >>= 1;\n            }\n        }\n        result = wrap(resultUint);\n    }\n}\n\n/// @notice Multiplies two UD60x18 numbers together, returning a new UD60x18 number.\n///\n/// @dev Uses {Common.mulDiv} to enable overflow-safe multiplication and division.\n///\n/// Notes:\n/// - Refer to the notes in {Common.mulDiv}.\n///\n/// Requirements:\n/// - Refer to the requirements in {Common.mulDiv}.\n///\n/// @dev See the documentation in {Common.mulDiv18}.\n/// @param x The multiplicand as a UD60x18 number.\n/// @param y The multiplier as a UD60x18 number.\n/// @return result The product as a UD60x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction mul(UD60x18 x, UD60x18 y) pure returns (UD60x18 result) {\n    result = wrap(Common.mulDiv18(x.unwrap(), y.unwrap()));\n}\n\n/// @notice Raises x to the power of y.\n///\n/// For $1 \\leq x \\leq \\infty$, the following standard formula is used:\n///\n/// $$\n/// x^y = 2^{log_2{x} * y}\n/// $$\n///\n/// For $0 \\leq x \\lt 1$, since the unsigned {log2} is undefined, an equivalent formula is used:\n///\n/// $$\n/// i = \\frac{1}{x}\n/// w = 2^{log_2{i} * y}\n/// x^y = \\frac{1}{w}\n/// $$\n///\n/// @dev Notes:\n/// - Refer to the notes in {log2} and {mul}.\n/// - Returns `UNIT` for 0^0.\n/// - It may not perform well with very small values of x. Consider using SD59x18 as an alternative.\n///\n/// Requirements:\n/// - Refer to the requirements in {exp2}, {log2}, and {mul}.\n///\n/// @param x The base as a UD60x18 number.\n/// @param y The exponent as a UD60x18 number.\n/// @return result The result as a UD60x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction pow(UD60x18 x, UD60x18 y) pure returns (UD60x18 result) {\n    uint256 xUint = x.unwrap();\n    uint256 yUint = y.unwrap();\n\n    // If both x and y are zero, the result is `UNIT`. If just x is zero, the result is always zero.\n    if (xUint == 0) {\n        return yUint == 0 ? UNIT : ZERO;\n    }\n    // If x is `UNIT`, the result is always `UNIT`.\n    else if (xUint == uUNIT) {\n        return UNIT;\n    }\n\n    // If y is zero, the result is always `UNIT`.\n    if (yUint == 0) {\n        return UNIT;\n    }\n    // If y is `UNIT`, the result is always x.\n    else if (yUint == uUNIT) {\n        return x;\n    }\n\n    // If x is > UNIT, use the standard formula.\n    if (xUint > uUNIT) {\n        result = exp2(mul(log2(x), y));\n    }\n    // Conversely, if x < UNIT, use the equivalent formula.\n    else {\n        UD60x18 i = wrap(uUNIT_SQUARED / xUint);\n        UD60x18 w = exp2(mul(log2(i), y));\n        result = wrap(uUNIT_SQUARED / w.unwrap());\n    }\n}\n\n/// @notice Raises x (a UD60x18 number) to the power y (an unsigned basic integer) using the well-known\n/// algorithm \"exponentiation by squaring\".\n///\n/// @dev See https://en.wikipedia.org/wiki/Exponentiation_by_squaring.\n///\n/// Notes:\n/// - Refer to the notes in {Common.mulDiv18}.\n/// - Returns `UNIT` for 0^0.\n///\n/// Requirements:\n/// - The result must fit in UD60x18.\n///\n/// @param x The base as a UD60x18 number.\n/// @param y The exponent as a uint256.\n/// @return result The result as a UD60x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction powu(UD60x18 x, uint256 y) pure returns (UD60x18 result) {\n    // Calculate the first iteration of the loop in advance.\n    uint256 xUint = x.unwrap();\n    uint256 resultUint = y & 1 > 0 ? xUint : uUNIT;\n\n    // Equivalent to `for(y /= 2; y > 0; y /= 2)`.\n    for (y >>= 1; y > 0; y >>= 1) {\n        xUint = Common.mulDiv18(xUint, xUint);\n\n        // Equivalent to `y % 2 == 1`.\n        if (y & 1 > 0) {\n            resultUint = Common.mulDiv18(resultUint, xUint);\n        }\n    }\n    result = wrap(resultUint);\n}\n\n/// @notice Calculates the square root of x using the Babylonian method.\n///\n/// @dev See https://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Babylonian_method.\n///\n/// Notes:\n/// - The result is rounded toward zero.\n///\n/// Requirements:\n/// - x ≤ MAX_UD60x18 / UNIT\n///\n/// @param x The UD60x18 number for which to calculate the square root.\n/// @return result The result as a UD60x18 number.\n/// @custom:smtchecker abstract-function-nondet\nfunction sqrt(UD60x18 x) pure returns (UD60x18 result) {\n    uint256 xUint = x.unwrap();\n\n    unchecked {\n        if (xUint > uMAX_UD60x18 / uUNIT) {\n            revert Errors.PRBMath_UD60x18_Sqrt_Overflow(x);\n        }\n        // Multiply x by `UNIT` to account for the factor of `UNIT` picked up when multiplying two UD60x18 numbers.\n        // In this case, the two numbers are both the square root.\n        result = wrap(Common.sqrt(xUint * uUNIT));\n    }\n}\n"},"@prb/math/src/ud60x18/ValueType.sol":{"content":"// SPDX-License-Identifier: MIT\npragma solidity >=0.8.19;\n\nimport \"./Casting.sol\" as Casting;\nimport \"./Helpers.sol\" as Helpers;\nimport \"./Math.sol\" as Math;\n\n/// @notice The unsigned 60.18-decimal fixed-point number representation, which can have up to 60 digits and up to 18\n/// decimals. The values of this are bound by the minimum and the maximum values permitted by the Solidity type uint256.\n/// @dev The value type is defined here so it can be imported in all other files.\ntype UD60x18 is uint256;\n\n/*//////////////////////////////////////////////////////////////////////////\n                                    CASTING\n//////////////////////////////////////////////////////////////////////////*/\n\nusing {\n    Casting.intoSD1x18,\n    Casting.intoSD21x18,\n    Casting.intoSD59x18,\n    Casting.intoUD2x18,\n    Casting.intoUD21x18,\n    Casting.intoUint128,\n    Casting.intoUint256,\n    Casting.intoUint40,\n    Casting.unwrap\n} for UD60x18 global;\n\n/*//////////////////////////////////////////////////////////////////////////\n                            MATHEMATICAL FUNCTIONS\n//////////////////////////////////////////////////////////////////////////*/\n\n// The global \"using for\" directive makes the functions in this library callable on the UD60x18 type.\nusing {\n    Math.avg,\n    Math.ceil,\n    Math.div,\n    Math.exp,\n    Math.exp2,\n    Math.floor,\n    Math.frac,\n    Math.gm,\n    Math.inv,\n    Math.ln,\n    Math.log10,\n    Math.log2,\n    Math.mul,\n    Math.pow,\n    Math.powu,\n    Math.sqrt\n} for UD60x18 global;\n\n/*//////////////////////////////////////////////////////////////////////////\n                                HELPER FUNCTIONS\n//////////////////////////////////////////////////////////////////////////*/\n\n// The global \"using for\" directive makes the functions in this library callable on the UD60x18 type.\nusing {\n    Helpers.add,\n    Helpers.and,\n    Helpers.eq,\n    Helpers.gt,\n    Helpers.gte,\n    Helpers.isZero,\n    Helpers.lshift,\n    Helpers.lt,\n    Helpers.lte,\n    Helpers.mod,\n    Helpers.neq,\n    Helpers.not,\n    Helpers.or,\n    Helpers.rshift,\n    Helpers.sub,\n    Helpers.uncheckedAdd,\n    Helpers.uncheckedSub,\n    Helpers.xor\n} for UD60x18 global;\n\n/*//////////////////////////////////////////////////////////////////////////\n                                    OPERATORS\n//////////////////////////////////////////////////////////////////////////*/\n\n// The global \"using for\" directive makes it possible to use these operators on the UD60x18 type.\nusing {\n    Helpers.add as +,\n    Helpers.and2 as &,\n    Math.div as /,\n    Helpers.eq as ==,\n    Helpers.gt as >,\n    Helpers.gte as >=,\n    Helpers.lt as <,\n    Helpers.lte as <=,\n    Helpers.or as |,\n    Helpers.mod as %,\n    Math.mul as *,\n    Helpers.neq as !=,\n    Helpers.not as ~,\n    Helpers.sub as -,\n    Helpers.xor as ^\n} for UD60x18 global;\n"},"contracts/ERC7540Upgradeable.sol":{"content":"// SPDX-License-Identifier: BUSL-1.1\n// Compatible with OpenZeppelin Contracts ^5.0.0\npragma solidity ^0.8.27;\n\nimport {IERC165} from \"@openzeppelin/contracts/interfaces/IERC165.sol\";\nimport {IERC20Metadata} from \"@openzeppelin/contracts/token/ERC20/extensions/IERC20Metadata.sol\";\nimport {IERC20} from \"@openzeppelin/contracts/token/ERC20/IERC20.sol\";\nimport {SafeERC20} from \"@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol\";\nimport {Math} from \"@openzeppelin/contracts/utils/math/Math.sol\";\nimport {Initializable} from \"@openzeppelin/contracts-upgradeable/proxy/utils/Initializable.sol\";\nimport {ContextUpgradeable} from \"@openzeppelin/contracts-upgradeable/utils/ContextUpgradeable.sol\";\nimport {ERC165Upgradeable} from \"@openzeppelin/contracts-upgradeable/utils/introspection/ERC165Upgradeable.sol\";\nimport {IERC7540Deposit, IERC7540Redeem, IERC7540Operator} from \"./interfaces/IERC7540.sol\";\nimport {IShare} from \"./interfaces/IShare.sol\";\nimport {ERC7575Upgradeable} from \"./ERC7575Upgradeable.sol\";\n\n/**\n * @dev Implementation of the ERC-7575 \"Multi-Asset Tokenized Vault Standard\" as defined in\n * https://eips.ethereum.org/EIPS/eip-7575[ERC-7575].\n * @dev From @openzeppelin/contracts-upgradeable/ERC4626Upgradeable.sol, minus ERC-20\n */\nabstract contract ERC7540Upgradeable is\n    Initializable,\n    ContextUpgradeable,\n    ERC165Upgradeable,\n    ERC7575Upgradeable,\n    IERC7540Deposit,\n    IERC7540Redeem,\n    IERC7540Operator\n{\n    using Math for uint256;\n\n    struct Claimable {\n        uint256 assets;\n        uint256 shares;\n    }\n\n    /// @custom:storage-location erc7201:sivo.storage.ERC7540\n    struct ERC7540Storage {\n        mapping(address controller => mapping(address operator => bool)) _isOperator;\n        mapping(address => uint256) _pendingDeposit;\n        uint256 _totalPendingDeposit;\n        mapping(address => Claimable) _claimableDeposit;\n        Claimable _totalClaimableDeposit;\n        mapping(address => uint256) _pendingRedeem;\n        uint256 _totalPendingRedeem;\n        mapping(address => Claimable) _claimableRedeem;\n        Claimable _totalClaimableRedeem;\n    }\n\n    // keccak256(abi.encode(uint256(keccak256(\"sivo.storage.ERC7540\")) - 1)) & ~bytes32(uint256(0xff))\n    bytes32 private constant ERC7540StorageLocation =\n        0xf5d2f41a999c1144bf8aecf5f175bd2b2374bdc6361a14b1c4bce35d5759aa00;\n\n    function _getERC7540Storage()\n        private\n        pure\n        returns (ERC7540Storage storage $)\n    {\n        assembly {\n            $.slot := ERC7540StorageLocation\n        }\n    }\n\n    /**\n     * @dev See {IERC165-supportsInterface}.\n     */\n    function supportsInterface(\n        bytes4 interfaceId\n    )\n        public\n        view\n        virtual\n        override(ERC165Upgradeable, ERC7575Upgradeable)\n        returns (bool)\n    {\n        return\n            interfaceId == type(IERC7540Deposit).interfaceId ||\n            interfaceId == type(IERC7540Redeem).interfaceId ||\n            interfaceId == type(IERC7540Operator).interfaceId ||\n            super.supportsInterface(interfaceId);\n    }\n\n    function isOperator(\n        address controller,\n        address operator\n    ) external view returns (bool status) {\n        ERC7540Storage storage $ = _getERC7540Storage();\n        return $._isOperator[controller][operator];\n    }\n\n    function setOperator(\n        address operator,\n        bool approved\n    ) external returns (bool success) {\n        ERC7540Storage storage $ = _getERC7540Storage();\n        $._isOperator[_msgSender()][operator] = approved;\n        emit OperatorSet(_msgSender(), operator, approved);\n        return true;\n    }\n\n    modifier onlyOperator(address subject) {\n        _checkOperator(subject);\n        _;\n    }\n\n    function _checkOperator(address subject) internal view virtual {\n        if (subject == _msgSender()) return;\n        ERC7540Storage storage $ = _getERC7540Storage();\n        if ($._isOperator[subject][_msgSender()]) return;\n        revert ERC7540UnauthorizedSender(_msgSender(), subject);\n    }\n\n    function requestDeposit(\n        uint256 assets,\n        address controller,\n        address owner\n    ) external onlyOperator(owner) returns (uint256 requestId) {\n        requestId = 0;\n        ERC7540Storage storage $ = _getERC7540Storage();\n        SafeERC20.safeTransferFrom(_asset(), owner, address(this), assets);\n        $._pendingDeposit[controller] += assets;\n        $._totalPendingDeposit += assets;\n        emit DepositRequest(controller, owner, requestId, _msgSender(), assets);\n    }\n\n    function cancelDeposit(\n        uint256 assets,\n        address receiver,\n        address controller\n    ) external onlyOperator(controller) {\n        ERC7540Storage storage $ = _getERC7540Storage();\n        $._pendingDeposit[controller] -= assets;\n        $._totalPendingDeposit -= assets;\n        SafeERC20.safeTransfer(_asset(), receiver, assets);\n        emit DepositCancel(controller, receiver, _msgSender(), assets);\n    }\n\n    function pendingDepositRequest(\n        uint256 requestId,\n        address controller\n    ) external view returns (uint256 assets) {\n        if (requestId != 0) return 0;\n        ERC7540Storage storage $ = _getERC7540Storage();\n        return $._pendingDeposit[controller];\n    }\n\n    function _claimableDeposit(\n        uint256 assets,\n        address controller\n    ) internal returns (uint256 shares) {\n        ERC7540Storage storage $ = _getERC7540Storage();\n        $._pendingDeposit[controller] -= assets;\n        $._totalPendingDeposit -= assets;\n        shares = previewDeposit(assets);\n        _share().mint(address(this), shares, assets);\n        $._claimableDeposit[controller].assets += assets;\n        $._totalClaimableDeposit.assets += assets;\n        $._claimableDeposit[controller].shares += shares;\n        $._totalClaimableDeposit.shares += shares;\n    }\n\n    function claimableDepositRequest(\n        uint256 requestId,\n        address controller\n    ) external view returns (uint256 assets) {\n        if (requestId != 0) return 0;\n        ERC7540Storage storage $ = _getERC7540Storage();\n        return $._claimableDeposit[controller].assets;\n    }\n\n    function deposit(\n        uint256 assets,\n        address receiver,\n        address controller\n    ) external onlyOperator(controller) returns (uint256 shares) {\n        ERC7540Storage storage $ = _getERC7540Storage();\n        Claimable storage $$ = $._claimableDeposit[controller];\n        shares = $$.shares.mulDiv(assets, $$.assets);\n        $$.assets -= assets;\n        $._totalClaimableDeposit.assets -= assets;\n        $$.shares -= shares;\n        $._totalClaimableDeposit.shares -= shares;\n        _share().transfer(receiver, shares);\n        emit Deposit(controller, receiver, assets, shares);\n    }\n\n    function mint(\n        uint256 shares,\n        address receiver,\n        address controller\n    ) external onlyOperator(controller) returns (uint256 assets) {\n        ERC7540Storage storage $ = _getERC7540Storage();\n        Claimable storage $$ = $._claimableDeposit[controller];\n        assets = $$.assets.mulDiv(shares, $$.shares);\n        $$.shares -= shares;\n        $._totalClaimableDeposit.shares -= shares;\n        $$.assets -= assets;\n        $._totalClaimableDeposit.assets -= assets;\n        _share().transfer(receiver, shares);\n        emit Deposit(controller, receiver, assets, shares);\n    }\n\n    function requestRedeem(\n        uint256 shares,\n        address controller,\n        address owner\n    ) external onlyOperator(owner) returns (uint256 requestId) {\n        requestId = 0;\n        ERC7540Storage storage $ = _getERC7540Storage();\n        _share().transferFrom(owner, address(this), shares);\n        $._pendingRedeem[controller] += shares;\n        $._totalPendingRedeem += shares;\n        emit RedeemRequest(controller, owner, requestId, _msgSender(), shares);\n    }\n\n    function cancelRedeem(\n        uint256 shares,\n        address receiver,\n        address controller\n    ) external onlyOperator(controller) {\n        ERC7540Storage storage $ = _getERC7540Storage();\n        $._pendingRedeem[controller] -= shares;\n        $._totalPendingRedeem -= shares;\n        _share().transfer(receiver, shares);\n        emit RedeemCancel(controller, receiver, _msgSender(), shares);\n    }\n\n    function pendingRedeemRequest(\n        uint256 requestId,\n        address controller\n    ) external view returns (uint256 shares) {\n        if (requestId != 0) return 0;\n        ERC7540Storage storage $ = _getERC7540Storage();\n        return $._pendingRedeem[controller];\n    }\n\n    function _claimableRedeem(\n        uint256 shares,\n        address controller\n    ) internal returns (uint256 assets) {\n        ERC7540Storage storage $ = _getERC7540Storage();\n        $._pendingRedeem[controller] -= shares;\n        $._totalPendingRedeem -= shares;\n        assets = previewRedeem(shares);\n        _share().burn(address(this), shares, assets);\n        $._claimableRedeem[controller].assets += assets;\n        $._totalClaimableRedeem.assets += assets;\n        $._claimableRedeem[controller].shares += shares;\n        $._totalClaimableRedeem.shares += shares;\n    }\n\n    function claimableRedeemRequest(\n        uint256 requestId,\n        address controller\n    ) external view returns (uint256 shares) {\n        if (requestId != 0) return 0;\n        ERC7540Storage storage $ = _getERC7540Storage();\n        return $._claimableRedeem[controller].shares;\n    }\n\n    function withdraw(\n        uint256 assets,\n        address receiver,\n        address controller\n    )\n        public\n        virtual\n        override\n        onlyOperator(controller)\n        returns (uint256 shares)\n    {\n        ERC7540Storage storage $ = _getERC7540Storage();\n        Claimable storage $$ = $._claimableRedeem[controller];\n        if ($$.assets == 0) return super.withdraw(assets, receiver, controller);\n        shares = $$.shares.mulDiv(assets, $$.assets);\n        $$.assets -= assets;\n        $._totalClaimableRedeem.assets -= assets;\n        $$.shares -= shares;\n        $._totalClaimableRedeem.shares -= shares;\n        SafeERC20.safeTransfer(_asset(), receiver, assets);\n        emit Withdraw(_msgSender(), receiver, controller, assets, shares);\n    }\n\n    function redeem(\n        uint256 shares,\n        address receiver,\n        address controller\n    )\n        public\n        virtual\n        override\n        onlyOperator(controller)\n        returns (uint256 assets)\n    {\n        ERC7540Storage storage $ = _getERC7540Storage();\n        Claimable storage $$ = $._claimableRedeem[controller];\n        if ($$.shares == 0) return super.redeem(shares, receiver, controller);\n        assets = $$.assets.mulDiv(shares, shares);\n        $$.shares -= shares;\n        $._totalClaimableRedeem.shares -= shares;\n        $$.assets -= assets;\n        $._totalClaimableRedeem.assets -= assets;\n        SafeERC20.safeTransfer(_asset(), receiver, assets);\n        emit Withdraw(_msgSender(), receiver, controller, assets, shares);\n    }\n}\n"},"contracts/ERC7575Store.sol":{"content":"// SPDX-License-Identifier: BUSL-1.1\n// Compatible with OpenZeppelin Contracts ^5.0.0\npragma solidity ^0.8.27;\n\nimport {IERC20Metadata as IERC20} from \"@openzeppelin/contracts/token/ERC20/extensions/IERC20Metadata.sol\";\nimport {Initializable} from \"@openzeppelin/contracts-upgradeable/proxy/utils/Initializable.sol\";\n\n/// @custom:security-contact security@sivo.com\ncontract ERC7575Store is Initializable {\n    error ERC7575AssetDecimalsExceedsShareDecimals(\n        uint8 assetDecimals,\n        uint8 shareDecimals\n    );\n\n    /// @custom:storage-location erc7201:sivo.storage.ERC7575\n    struct ERC7575Storage {\n        address _share;\n        address _asset;\n        uint8 _assetDecimals;\n    }\n\n    // keccak256(abi.encode(uint256(keccak256(\"sivo.storage.ERC7575\")) - 1)) & ~bytes32(uint256(0xff))\n    bytes32 private constant ERC7575StorageLocation =\n        0xded009ad9b938d1a1baff1d97e239efee9c206ea56ae29f5a0cade6f16ce7500;\n\n    function _getERC7575Storage()\n        internal\n        pure\n        returns (ERC7575Storage storage $)\n    {\n        assembly {\n            $.slot := ERC7575StorageLocation\n        }\n    }\n\n    /**\n     * @dev Set the underlying asset contract. This must be an ERC20-compatible contract (ERC-20 or ERC-777).\n     */\n    function __ERC7575_init(\n        address asset_,\n        address share_\n    ) internal onlyInitializing {\n        __ERC7575_init_unchained(asset_, share_);\n    }\n\n    function __ERC7575_init_unchained(\n        address asset_,\n        address share_\n    ) internal onlyInitializing {\n        ERC7575Storage storage $ = _getERC7575Storage();\n        $._asset = asset_;\n        $._share = share_;\n        (bool success, uint8 assetDecimals) = _tryGetAssetDecimals(\n            IERC20(asset_)\n        );\n        $._assetDecimals = success ? assetDecimals : 18;\n        if ($._assetDecimals > IERC20(share_).decimals()) {\n            revert ERC7575AssetDecimalsExceedsShareDecimals(\n                $._assetDecimals,\n                IERC20(share_).decimals()\n            );\n        }\n    }\n\n    /**\n     * @dev Attempts to fetch the asset decimals. A return value of false indicates that the attempt failed in some way.\n     */\n    function _tryGetAssetDecimals(\n        IERC20 asset_\n    ) private view returns (bool ok, uint8 assetDecimals) {\n        (bool success, bytes memory encodedDecimals) = address(asset_)\n            .staticcall(abi.encodeCall(IERC20.decimals, ()));\n        if (success && encodedDecimals.length >= 32) {\n            uint256 returnedDecimals = abi.decode(encodedDecimals, (uint256));\n            if (returnedDecimals <= type(uint8).max) {\n                return (true, uint8(returnedDecimals));\n            }\n        }\n        return (false, 0);\n    }\n}\n"},"contracts/ERC7575Upgradeable.sol":{"content":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.3.0) (token/ERC20/extensions/ERC7575.sol)\n\npragma solidity ^0.8.20;\n\nimport {IERC165} from \"@openzeppelin/contracts/interfaces/IERC165.sol\";\nimport {IERC20Metadata} from \"@openzeppelin/contracts/token/ERC20/extensions/IERC20Metadata.sol\";\nimport {IERC20} from \"@openzeppelin/contracts/token/ERC20/IERC20.sol\";\nimport {SafeERC20} from \"@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol\";\nimport {Math} from \"@openzeppelin/contracts/utils/math/Math.sol\";\nimport {Initializable} from \"@openzeppelin/contracts-upgradeable/proxy/utils/Initializable.sol\";\nimport {ContextUpgradeable} from \"@openzeppelin/contracts-upgradeable/utils/ContextUpgradeable.sol\";\nimport {ERC165Upgradeable} from \"@openzeppelin/contracts-upgradeable/utils/introspection/ERC165Upgradeable.sol\";\nimport {IERC7575} from \"./interfaces/IERC7575.sol\";\nimport {IShare} from \"./interfaces/IShare.sol\";\nimport {ERC7575Store} from \"./ERC7575Store.sol\";\n\n/**\n * @dev Implementation of the ERC-7575 \"Multi-Asset Tokenized Vault Standard\" as defined in\n * https://eips.ethereum.org/EIPS/eip-7575[ERC-7575].\n * @dev From @openzeppelin/contracts-upgradeable/ERC4626Upgradeable.sol, minus ERC-20\n */\nabstract contract ERC7575Upgradeable is\n    ContextUpgradeable,\n    ERC165Upgradeable,\n    ERC7575Store,\n    IERC7575\n{\n    using Math for uint256;\n\n    /**\n     * @dev See {IERC165-supportsInterface}.\n     */\n    function supportsInterface(\n        bytes4 interfaceId\n    ) public view virtual override(ERC165Upgradeable, IERC165) returns (bool) {\n        return\n            interfaceId == type(IERC7575).interfaceId ||\n            super.supportsInterface(interfaceId);\n    }\n\n    function _share() internal view virtual returns (IShare) {\n        ERC7575Storage storage $ = _getERC7575Storage();\n        return IShare($._share);\n    }\n\n    function _asset() internal view virtual returns (IERC20) {\n        ERC7575Storage storage $ = _getERC7575Storage();\n        return IERC20($._asset);\n    }\n\n    /** @dev See {IERC7575-share}. */\n    function share() public view virtual returns (address) {\n        ERC7575Storage storage $ = _getERC7575Storage();\n        return address($._share);\n    }\n\n    /** @dev See {IERC7575-asset}. */\n    function asset() public view virtual returns (address) {\n        ERC7575Storage storage $ = _getERC7575Storage();\n        return address($._asset);\n    }\n\n    /** @dev See {IERC7575-totalAssets}. */\n    function totalAssets() public view virtual returns (uint256) {\n        IShare share_ = _share();\n        return share_.assetTotalDeployed() + share_.assetTotalIdle();\n    }\n\n    /** @dev See {IERC7575-convertToShares}. */\n    function convertToShares(\n        uint256 assets\n    ) public view virtual returns (uint256) {\n        return _convertToShares(assets, Math.Rounding.Floor);\n    }\n\n    /** @dev See {IERC7575-convertToAssets}. */\n    function convertToAssets(\n        uint256 shares\n    ) public view virtual returns (uint256) {\n        return _convertToAssets(shares, Math.Rounding.Floor);\n    }\n\n    /** @dev See {IERC7575-maxDeposit}. */\n    function maxDeposit(address) public view virtual returns (uint256) {\n        return type(uint256).max;\n    }\n\n    /** @dev See {IERC7575-maxMint}. */\n    function maxMint(address) public view virtual returns (uint256) {\n        return type(uint256).max;\n    }\n\n    /** @dev See {IERC7575-maxWithdraw}. */\n    function maxWithdraw(address owner) public view virtual returns (uint256) {\n        return _convertToAssets(_share().balanceOf(owner), Math.Rounding.Floor);\n    }\n\n    /** @dev See {IERC7575-maxRedeem}. */\n    function maxRedeem(address owner) public view virtual returns (uint256) {\n        return _share().balanceOf(owner);\n    }\n\n    /** @dev See {IERC7575-previewDeposit}. */\n    function previewDeposit(\n        uint256 assets\n    ) public view virtual returns (uint256) {\n        return _convertToShares(assets, Math.Rounding.Floor);\n    }\n\n    /** @dev See {IERC7575-previewMint}. */\n    function previewMint(uint256 shares) public view virtual returns (uint256) {\n        return _convertToAssets(shares, Math.Rounding.Ceil);\n    }\n\n    /** @dev See {IERC7575-previewWithdraw}. */\n    function previewWithdraw(\n        uint256 assets\n    ) public view virtual returns (uint256) {\n        return _convertToShares(assets, Math.Rounding.Ceil);\n    }\n\n    /** @dev See {IERC7575-previewRedeem}. */\n    function previewRedeem(\n        uint256 shares\n    ) public view virtual returns (uint256) {\n        return _convertToAssets(shares, Math.Rounding.Floor);\n    }\n\n    /** @dev See {IERC7575-deposit}. */\n    function deposit(\n        uint256 assets,\n        address receiver\n    ) public virtual returns (uint256) {\n        uint256 maxAssets = maxDeposit(receiver);\n        if (assets > maxAssets) {\n            revert ERC7575ExceededMaxDeposit(receiver, assets, maxAssets);\n        }\n\n        uint256 shares = previewDeposit(assets);\n        _deposit(_msgSender(), receiver, assets, shares);\n\n        return shares;\n    }\n\n    /** @dev See {IERC7575-mint}. */\n    function mint(\n        uint256 shares,\n        address receiver\n    ) public virtual returns (uint256) {\n        uint256 maxShares = maxMint(receiver);\n        if (shares > maxShares) {\n            revert ERC7575ExceededMaxMint(receiver, shares, maxShares);\n        }\n\n        uint256 assets = previewMint(shares);\n        _deposit(_msgSender(), receiver, assets, shares);\n\n        return assets;\n    }\n\n    /** @dev See {IERC7575-withdraw}. */\n    function withdraw(\n        uint256 assets,\n        address receiver,\n        address owner\n    ) public virtual returns (uint256) {\n        uint256 maxAssets = maxWithdraw(owner);\n        if (assets > maxAssets) {\n            revert ERC7575ExceededMaxWithdraw(owner, assets, maxAssets);\n        }\n\n        uint256 shares = previewWithdraw(assets);\n        _withdraw(_msgSender(), receiver, owner, assets, shares);\n\n        return shares;\n    }\n\n    /** @dev See {IERC7575-redeem}. */\n    function redeem(\n        uint256 shares,\n        address receiver,\n        address owner\n    ) public virtual returns (uint256) {\n        uint256 maxShares = maxRedeem(owner);\n        if (shares > maxShares) {\n            revert ERC7575ExceededMaxRedeem(owner, shares, maxShares);\n        }\n\n        uint256 assets = previewRedeem(shares);\n        _withdraw(_msgSender(), receiver, owner, assets, shares);\n\n        return assets;\n    }\n\n    /**\n     * @dev Internal conversion function (from assets to shares) with support for rounding direction.\n     */\n    function _convertToShares(\n        uint256 assets,\n        Math.Rounding rounding\n    ) internal view virtual returns (uint256) {\n        return\n            assets.mulDiv(\n                _share().totalSupply() + 10 ** _decimalsOffset(),\n                totalAssets() + 1,\n                rounding\n            );\n    }\n\n    /**\n     * @dev Internal conversion function (from shares to assets) with support for rounding direction.\n     */\n    function _convertToAssets(\n        uint256 shares,\n        Math.Rounding rounding\n    ) internal view virtual returns (uint256) {\n        return\n            shares.mulDiv(\n                totalAssets() + 1,\n                _share().totalSupply() + 10 ** _decimalsOffset(),\n                rounding\n            );\n    }\n\n    /**\n     * @dev Deposit/mint common workflow.\n     */\n    function _deposit(\n        address caller,\n        address receiver,\n        uint256 assets,\n        uint256 shares\n    ) internal virtual {\n        // If asset() is ERC-777, `transferFrom` can trigger a reentrancy BEFORE the transfer happens through the\n        // `tokensToSend` hook. On the other hand, the `tokenReceived` hook, that is triggered after the transfer,\n        // calls the vault, which is assumed not malicious.\n        //\n        // Conclusion: we need to do the transfer before we mint so that any reentrancy would happen before the\n        // assets are transferred and before the shares are minted, which is a valid state.\n        // slither-disable-next-line reentrancy-no-eth\n        SafeERC20.safeTransferFrom(_asset(), caller, address(this), assets);\n        _share().mint(receiver, shares, assets);\n\n        emit Deposit(caller, receiver, assets, shares);\n    }\n\n    /**\n     * @dev Withdraw/redeem common workflow.\n     */\n    function _withdraw(\n        address caller,\n        address receiver,\n        address owner,\n        uint256 assets,\n        uint256 shares\n    ) internal virtual {\n        IShare share_ = _share();\n        if (caller != owner) {\n            share_.spendAllowance(owner, caller, shares);\n        }\n\n        // If asset() is ERC-777, `transfer` can trigger a reentrancy AFTER the transfer happens through the\n        // `tokensReceived` hook. On the other hand, the `tokensToSend` hook, that is triggered before the transfer,\n        // calls the vault, which is assumed not malicious.\n        //\n        // Conclusion: we need to do the transfer after the burn so that any reentrancy would happen after the\n        // shares are burned and after the assets are transferred, which is a valid state.\n        share_.burn(owner, shares, assets);\n        SafeERC20.safeTransfer(_asset(), receiver, assets);\n\n        emit Withdraw(caller, receiver, owner, assets, shares);\n    }\n\n    function _decimalsOffset() internal view virtual returns (uint8) {\n        ERC7575Storage storage $ = _getERC7575Storage();\n        return IShare($._share).decimals() - $._assetDecimals;\n    }\n}\n"},"contracts/Fiat_.sol":{"content":"// SPDX-License-Identifier: BUSL-1.1\n// Compatible with OpenZeppelin Contracts ^5.0.0\npragma solidity ^0.8.27;\n\nimport {ERC20Upgradeable} from \"@openzeppelin/contracts-upgradeable/token/ERC20/ERC20Upgradeable.sol\";\nimport {ERC20BurnableUpgradeable} from \"@openzeppelin/contracts-upgradeable/token/ERC20/extensions/ERC20BurnableUpgradeable.sol\";\nimport {ERC20PausableUpgradeable} from \"@openzeppelin/contracts-upgradeable/token/ERC20/extensions/ERC20PausableUpgradeable.sol\";\nimport {ERC20PermitUpgradeable} from \"@openzeppelin/contracts-upgradeable/token/ERC20/extensions/ERC20PermitUpgradeable.sol\";\nimport {Initializable} from \"@openzeppelin/contracts-upgradeable/proxy/utils/Initializable.sol\";\nimport {OwnableUpgradeable} from \"@openzeppelin/contracts-upgradeable/access/OwnableUpgradeable.sol\";\nimport {UUPSUpgradeable} from \"@openzeppelin/contracts-upgradeable/proxy/utils/UUPSUpgradeable.sol\";\nimport {FiatStore} from \"./FiatStore.sol\";\nimport {FiatOptions} from \"./FiatOptions.sol\";\n\n/// @custom:security-contact security@sivo.com\ncontract Fiat_ is\n    Initializable,\n    ERC20Upgradeable,\n    ERC20BurnableUpgradeable,\n    ERC20PausableUpgradeable,\n    FiatOptions,\n    FiatStore,\n    OwnableUpgradeable,\n    ERC20PermitUpgradeable,\n    UUPSUpgradeable\n{\n    /// @custom:oz-upgrades-unsafe-allow constructor\n    constructor() {\n        _disableInitializers();\n    }\n\n    function initialize(Options memory options) public initializer {\n        __ERC20_init(options.name, options.symbol);\n        __ERC20Burnable_init();\n        __ERC20Pausable_init();\n        __Ownable_init(options.owner);\n        __ERC20Permit_init(options.name);\n        __UUPSUpgradeable_init();\n        FiatStorage storage $ = _getFiatStorage();\n        $.decimals = options.decimals;\n    }\n\n    function pause() public onlyOwner {\n        _pause();\n    }\n\n    function unpause() public onlyOwner {\n        _unpause();\n    }\n\n    function mint(address to, uint256 amount) public onlyOwner {\n        _mint(to, amount);\n    }\n\n    function _authorizeUpgrade(\n        address newImplementation\n    ) internal override onlyOwner {}\n\n    // The following functions are overrides required by Solidity.\n\n    function _update(\n        address from,\n        address to,\n        uint256 value\n    ) internal override(ERC20Upgradeable, ERC20PausableUpgradeable) {\n        super._update(from, to, value);\n    }\n}\n"},"contracts/Fiat.sol":{"content":"// SPDX-License-Identifier: BUSL-1.1\n// Compatible with OpenZeppelin Contracts ^5.0.0\npragma solidity ^0.8.27;\n\nimport {ERC20Upgradeable} from \"@openzeppelin/contracts-upgradeable/token/ERC20/ERC20Upgradeable.sol\";\nimport {ERC20BurnableUpgradeable} from \"@openzeppelin/contracts-upgradeable/token/ERC20/extensions/ERC20BurnableUpgradeable.sol\";\nimport {ERC20PausableUpgradeable} from \"@openzeppelin/contracts-upgradeable/token/ERC20/extensions/ERC20PausableUpgradeable.sol\";\nimport {ERC20PermitUpgradeable} from \"@openzeppelin/contracts-upgradeable/token/ERC20/extensions/ERC20PermitUpgradeable.sol\";\nimport {Initializable} from \"@openzeppelin/contracts-upgradeable/proxy/utils/Initializable.sol\";\nimport {OwnableUpgradeable} from \"@openzeppelin/contracts-upgradeable/access/OwnableUpgradeable.sol\";\nimport {UUPSUpgradeable} from \"@openzeppelin/contracts-upgradeable/proxy/utils/UUPSUpgradeable.sol\";\nimport {FiatStore} from \"./FiatStore.sol\";\nimport {FiatOptions} from \"./FiatOptions.sol\";\n\n/// @custom:security-contact security@sivo.com\ncontract Fiat is\n    Initializable,\n    ERC20Upgradeable,\n    ERC20BurnableUpgradeable,\n    ERC20PausableUpgradeable,\n    FiatOptions,\n    FiatStore,\n    OwnableUpgradeable,\n    ERC20PermitUpgradeable,\n    UUPSUpgradeable\n{\n    /// @custom:oz-upgrades-unsafe-allow constructor\n    constructor() {\n        _disableInitializers();\n    }\n\n    function initialize(Options memory options) public initializer {\n        __ERC20_init(options.name, options.symbol);\n        __ERC20Burnable_init();\n        __ERC20Pausable_init();\n        __Ownable_init(options.owner);\n        __ERC20Permit_init(options.name);\n        __UUPSUpgradeable_init();\n        FiatStorage storage $ = _getFiatStorage();\n        $.decimals = options.decimals;\n    }\n\n    function decimals()\n        public\n        view\n        override\n        returns (uint8)\n    {\n        FiatStorage storage $ = _getFiatStorage();\n        return $.decimals;\n    }\n\n    function pause() public onlyOwner {\n        _pause();\n    }\n\n    function unpause() public onlyOwner {\n        _unpause();\n    }\n\n    function mint(address to, uint256 amount) public onlyOwner {\n        _mint(to, amount);\n    }\n\n    function _authorizeUpgrade(\n        address newImplementation\n    ) internal override onlyOwner {}\n\n    // The following functions are overrides required by Solidity.\n\n    function _update(\n        address from,\n        address to,\n        uint256 value\n    ) internal override(ERC20Upgradeable, ERC20PausableUpgradeable) {\n        super._update(from, to, value);\n    }\n}\n"},"contracts/FiatOptions.sol":{"content":"// SPDX-License-Identifier: BUSL-1.1\npragma solidity ^0.8.27;\n\ncontract FiatOptions {\n    struct Options {\n        string name;\n        string symbol;\n        uint8 decimals;\n        address owner;\n    }\n}\n"},"contracts/FiatStore.sol":{"content":"// SPDX-License-Identifier: BUSL-1.1\n// Compatible with OpenZeppelin Contracts ^5.0.0\npragma solidity ^0.8.27;\n\n/// @custom:security-contact security@sivo.com\ncontract FiatStore {\n    /// @custom:storage-location erc7201:sivo.storage.Fiat\n    struct FiatStorage {\n        uint8 decimals;\n    }\n\n    /// @dev keccak256(abi.encode(uint256(keccak256(\"sivo.storage.Fiat\")) - 1)) & ~bytes32(uint256(0xff))\n    bytes32 private constant FiatStorageLocation =\n        0x73cc089f90704b6bc518456f580e4c7bd5c5cb41064d9a6f723ef84284275b00;\n\n    function _getFiatStorage() internal pure returns (FiatStorage storage $) {\n        assembly {\n            $.slot := FiatStorageLocation\n        }\n    }\n}\n"},"contracts/Helper.sol":{"content":"// SPDX-License-Identifier: BUSL-1.1\npragma solidity ^0.8.24;\nimport {UD60x18, exp as exp_} from \"@prb/math/src/UD60x18.sol\";\nimport {ERC1967Proxy} from \"@openzeppelin/contracts/proxy/ERC1967/ERC1967Proxy.sol\";\n\nlibrary Helper {\n    uint64 internal constant Precision = 1e18;\n    uint64 internal constant SecondsPerYear = 31_536_000; // 365 * 24 * 60 * 60\n    uint64 internal constant FactorScale = 1e18;\n\n    function exp(uint x_) internal pure returns (uint) {\n        UD60x18 x = UD60x18.wrap(x_);\n        UD60x18 result = exp_(x);\n        return UD60x18.unwrap(result);\n    }\n}\n"},"contracts/interfaces/IERC7540.sol":{"content":"// SPDX-License-Identifier: BUSL-1.1\npragma solidity ^0.8.27;\n\n/**\n * @title IERC7540Operator - Operator Management Interface\n * @notice Interface for managing operator permissions for ERC-7540 compatible vaults\n * @dev Allows controllers to designate operators who can act on their behalf\n */\ninterface IERC7540Operator {\n    event OperatorSet(\n        address indexed controller,\n        address indexed operator,\n        bool approved\n    );\n\n    /**\n     * @dev Returns true if `operator` is approved to manage requests on behalf of `controller`\n     *\n     * - MUST NOT revert.\n     *\n     * @param controller The address that controls the operator permissions\n     * @param operator The address to check if it has operator permissions\n     * @return status Boolean indicating if operator is approved for controller\n     */\n    function isOperator(\n        address controller,\n        address operator\n    ) external view returns (bool status);\n\n    /**\n     * @dev Grant or revoke operator permissions for msg.sender (the controller)\n     *\n     * - MUST emit the OperatorSet event.\n     * - MUST return true on success.\n     *\n     * @param operator The address to grant or revoke permissions for\n     * @param approved Boolean indicating whether to grant (true) or revoke (false) permissions\n     * @return success Must be true on success\n     */\n    function setOperator(\n        address operator,\n        bool approved\n    ) external returns (bool success);\n}\n\n/**\n * @title IERC7540Deposit - Asynchronous Deposit Interface\n * @notice Interface for handling asynchronous deposits in ERC-7540 compatible vaults\n * @dev Provides methods for requesting and claiming deposits\n */\ninterface IERC7540Deposit {\n    event DepositRequest(\n        address indexed controller,\n        address indexed owner,\n        uint256 indexed requestId,\n        address sender,\n        uint256 assets\n    );\n\n    event DepositCancel(\n        address indexed controller,\n        address indexed receiver,\n        address sender,\n        uint256 assets\n    );\n\n    error ERC7540UnauthorizedSender(address sender, address subject);\n\n    /**\n     * @dev Initiate an asynchronous deposit request, locking assets and returning a requestId\n     *\n     * - MUST emit the DepositRequest event.\n     * - MUST lock the assets until they can be claimed.\n     * - MUST return a unique requestId that can be used to track and claim the deposit.\n     *\n     * @param assets The amount of assets to deposit\n     * @param controller The address that will control this deposit\n     * @param owner The address that owns the assets to be deposited\n     * @return requestId An identifier for this deposit request. Always returns 0 which makes requests fungible.\n     */\n    function requestDeposit(\n        uint256 assets,\n        address controller,\n        address owner\n    ) external returns (uint256 requestId);\n\n    /**\n     * @dev Returns the amount of assets pending deposit for a controller under a specific requestId\n     *\n     * - MUST NOT revert if the requestId exists.\n     * - MUST return 0 if the requestId does not exist or if the assets are no longer pending.\n     *\n     * @param requestId The unique identifier for the deposit request\n     * @param controller The address controlling this deposit request\n     * @return assets The amount of assets pending deposit\n     */\n    function pendingDepositRequest(\n        uint256 requestId,\n        address controller\n    ) external view returns (uint256 assets);\n\n    /**\n     * @dev Returns the amount of assets claimable for deposit by a controller under a specific requestId\n     *\n     * - MUST NOT revert if the requestId exists.\n     * - MUST return 0 if the requestId does not exist or if the assets are not yet claimable.\n     *\n     * @param requestId The unique identifier for the deposit request\n     * @param controller The address controlling this deposit request\n     * @return assets The amount of assets claimable for deposit\n     */\n    function claimableDepositRequest(\n        uint256 requestId,\n        address controller\n    ) external view returns (uint256 assets);\n\n    /**\n     * @dev Claims deposited assets similar to ERC-4626 deposit, but with controller parameter\n     *\n     * - MUST emit the Deposit event.\n     * - MUST convert the claimed assets to shares and transfer them to receiver.\n     * - MUST revert if assets cannot be claimed.\n     *\n     * @param assets The amount of assets to claim\n     * @param receiver The address that will receive the shares\n     * @param controller The address controlling this deposit\n     * @return shares The amount of shares minted to receiver\n     */\n    function deposit(\n        uint256 assets,\n        address receiver,\n        address controller\n    ) external returns (uint256 shares);\n\n    /**\n     * @dev Claims deposited assets via ERC-4626 mint semantics, with controller parameter\n     *\n     * - MUST emit the Deposit event.\n     * - MUST mint the specified shares to receiver.\n     * - MUST revert if shares cannot be minted.\n     *\n     * @param shares The amount of shares to mint\n     * @param receiver The address that will receive the shares\n     * @param controller The address controlling this mint operation\n     * @return assets The amount of assets used to mint the shares\n     */\n    function mint(\n        uint256 shares,\n        address receiver,\n        address controller\n    ) external returns (uint256 assets);\n}\n\n/**\n * @title IERC7540Redeem - Asynchronous Redemption Interface\n * @notice Interface for handling asynchronous redemptions in ERC-7540 compatible vaults\n * @dev Provides methods for requesting and tracking redemptions\n * @dev Semantics for redeem and withdraw functions: if the controller has claimable redemptions\n * it follows async (ERC-7540) semantics and consumes claimable redemptions with pricing that was\n * locked when the request transitioned to claimable.\n * Otherwise it follows sync (ERC-4626) semantics that consume shares.\n */\ninterface IERC7540Redeem {\n    event RedeemRequest(\n        address indexed controller,\n        address indexed owner,\n        uint256 indexed requestId,\n        address sender,\n        uint256 shares\n    );\n\n    event RedeemCancel(\n        address indexed controller,\n        address indexed receiver,\n        address sender,\n        uint256 shares\n    );\n\n    /**\n     * @dev Initiate an asynchronous redemption request, locking shares and returning a requestId\n     *\n     * - MUST emit the RedeemRequest event.\n     * - MUST lock the shares until they can be redeemed.\n     * - MUST return a unique requestId that can be used to track the redemption.\n     *\n     * @param shares The amount of shares to redeem\n     * @param controller The address that will control this redemption\n     * @param owner The address that owns the shares being redeemed\n     * @return requestId A unique identifier for this redemption request. Always returns 0 which makes requests fungible.\n     */\n    function requestRedeem(\n        uint256 shares,\n        address controller,\n        address owner\n    ) external returns (uint256 requestId);\n\n    /**\n     * @dev Returns the amount of shares pending redemption for a controller under a specific requestId\n     *\n     * - MUST NOT revert if the requestId exists.\n     * - MUST return 0 if the requestId does not exist or if the shares are no longer pending.\n     *\n     * @param requestId The unique identifier for the redemption request\n     * @param controller The address controlling this redemption request\n     * @return shares The amount of shares pending redemption\n     */\n    function pendingRedeemRequest(\n        uint256 requestId,\n        address controller\n    ) external view returns (uint256 shares);\n\n    /**\n     * @dev Returns the amount of shares claimable for redemption by a controller under a specific requestId\n     *\n     * - MUST NOT revert if the requestId exists.\n     * - MUST return 0 if the requestId does not exist or if the shares are not yet claimable.\n     *\n     * @param requestId The unique identifier for the redemption request\n     * @param controller The address controlling this redemption request\n     * @return shares The amount of shares claimable for redemption\n     */\n    function claimableRedeemRequest(\n        uint256 requestId,\n        address controller\n    ) external view returns (uint256 shares);\n}\n"},"contracts/interfaces/IERC7575.sol":{"content":"// SPDX-License-Identifier: BUSL-1.1\npragma solidity ^0.8.27;\n\nimport {IERC165} from \"@openzeppelin/contracts/utils/introspection/IERC165.sol\";\n\n/// @title IERC7575 - Multi-Asset ERC-4626 Vaults Interface\n/// @notice Extended ERC-4626 Interface enabling Multi-Asset Vaults\n/// @dev According to ERC-7575 specification: https://eips.ethereum.org/EIPS/eip-7575\n/// @dev All ERC-7575 Vaults MUST implement ERC-4626 excluding the ERC-20 methods and events\n/// @dev From @openzeppelin/contracts/interfaces/IERC4626.sol, minus ERC-20\ninterface IERC7575 is IERC165 {\n    event Deposit(\n        address indexed sender,\n        address indexed owner,\n        uint256 assets,\n        uint256 shares\n    );\n\n    event Withdraw(\n        address indexed sender,\n        address indexed receiver,\n        address indexed owner,\n        uint256 assets,\n        uint256 shares\n    );\n\n    /**\n     * @dev Attempted to deposit more assets than the max amount for `receiver`.\n     */\n    error ERC7575ExceededMaxDeposit(\n        address receiver,\n        uint256 assets,\n        uint256 max\n    );\n\n    /**\n     * @dev Attempted to mint more shares than the max amount for `receiver`.\n     */\n    error ERC7575ExceededMaxMint(address receiver, uint256 shares, uint256 max);\n\n    /**\n     * @dev Attempted to withdraw more assets than the max amount for `receiver`.\n     */\n    error ERC7575ExceededMaxWithdraw(\n        address owner,\n        uint256 assets,\n        uint256 max\n    );\n\n    /**\n     * @dev Attempted to redeem more shares than the max amount for `receiver`.\n     */\n    error ERC7575ExceededMaxRedeem(address owner, uint256 shares, uint256 max);\n\n    /// @notice The address of the underlying share received on deposit into the Vault\n    /// @dev MUST return an address of an ERC-20 share representation of the Vault\n    /// @dev share MAY return the address of the Vault itself (i.e., share == address(this))\n    /// @dev If share != address(this):\n    ///      - entry functions MUST increase the share balance of the receiver: share.balanceOf(receiver) += shares\n    ///      - exit functions MUST decrease the share balance of the owner: share.balanceOf(owner) -= shares\n    /// @dev MUST NOT revert\n    /// @return shareTokenAddress The address of the share token\n    function share() external view returns (address shareTokenAddress);\n\n    /**\n     * @dev Returns the address of the underlying token used for the Vault for accounting, depositing, and withdrawing.\n     *\n     * - MUST be an ERC-20 token contract.\n     * - MUST NOT revert.\n     */\n    function asset() external view returns (address assetTokenAddress);\n\n    /**\n     * @dev Returns the total amount of the underlying asset that is “managed” by Vault.\n     *\n     * - SHOULD include any compounding that occurs from yield.\n     * - MUST be inclusive of any fees that are charged against assets in the Vault.\n     * - MUST NOT revert.\n     */\n    function totalAssets() external view returns (uint256 totalManagedAssets);\n\n    /**\n     * @dev Returns the amount of shares that the Vault would exchange for the amount of assets provided, in an ideal\n     * scenario where all the conditions are met.\n     *\n     * - MUST NOT be inclusive of any fees that are charged against assets in the Vault.\n     * - MUST NOT show any variations depending on the caller.\n     * - MUST NOT reflect slippage or other on-chain conditions, when performing the actual exchange.\n     * - MUST NOT revert.\n     *\n     * NOTE: This calculation MAY NOT reflect the “per-user” price-per-share, and instead should reflect the\n     * “average-user’s” price-per-share, meaning what the average user should expect to see when exchanging to and\n     * from.\n     */\n    function convertToShares(\n        uint256 assets\n    ) external view returns (uint256 shares);\n\n    /**\n     * @dev Returns the amount of assets that the Vault would exchange for the amount of shares provided, in an ideal\n     * scenario where all the conditions are met.\n     *\n     * - MUST NOT be inclusive of any fees that are charged against assets in the Vault.\n     * - MUST NOT show any variations depending on the caller.\n     * - MUST NOT reflect slippage or other on-chain conditions, when performing the actual exchange.\n     * - MUST NOT revert.\n     *\n     * NOTE: This calculation MAY NOT reflect the “per-user” price-per-share, and instead should reflect the\n     * “average-user’s” price-per-share, meaning what the average user should expect to see when exchanging to and\n     * from.\n     */\n    function convertToAssets(\n        uint256 shares\n    ) external view returns (uint256 assets);\n\n    /**\n     * @dev Returns the maximum amount of the underlying asset that can be deposited into the Vault for the receiver,\n     * through a deposit call.\n     *\n     * - MUST return a limited value if receiver is subject to some deposit limit.\n     * - MUST return 2 ** 256 - 1 if there is no limit on the maximum amount of assets that may be deposited.\n     * - MUST NOT revert.\n     */\n    function maxDeposit(\n        address receiver\n    ) external view returns (uint256 maxAssets);\n\n    /**\n     * @dev Allows an on-chain or off-chain user to simulate the effects of their deposit at the current block, given\n     * current on-chain conditions.\n     *\n     * - MUST return as close to and no more than the exact amount of Vault shares that would be minted in a deposit\n     *   call in the same transaction. I.e. deposit should return the same or more shares as previewDeposit if called\n     *   in the same transaction.\n     * - MUST NOT account for deposit limits like those returned from maxDeposit and should always act as though the\n     *   deposit would be accepted, regardless if the user has enough tokens approved, etc.\n     * - MUST be inclusive of deposit fees. Integrators should be aware of the existence of deposit fees.\n     * - MUST NOT revert.\n     *\n     * NOTE: any unfavorable discrepancy between convertToShares and previewDeposit SHOULD be considered slippage in\n     * share price or some other type of condition, meaning the depositor will lose assets by depositing.\n     */\n    function previewDeposit(\n        uint256 assets\n    ) external view returns (uint256 shares);\n\n    /**\n     * @dev Mints shares Vault shares to receiver by depositing exactly amount of underlying tokens.\n     *\n     * - MUST emit the Deposit event.\n     * - MAY support an additional flow in which the underlying tokens are owned by the Vault contract before the\n     *   deposit execution, and are accounted for during deposit.\n     * - MUST revert if all of assets cannot be deposited (due to deposit limit being reached, slippage, the user not\n     *   approving enough underlying tokens to the Vault contract, etc).\n     *\n     * NOTE: most implementations will require pre-approval of the Vault with the Vault’s underlying asset token.\n     */\n    function deposit(\n        uint256 assets,\n        address receiver\n    ) external returns (uint256 shares);\n\n    /**\n     * @dev Returns the maximum amount of the Vault shares that can be minted for the receiver, through a mint call.\n     * - MUST return a limited value if receiver is subject to some mint limit.\n     * - MUST return 2 ** 256 - 1 if there is no limit on the maximum amount of shares that may be minted.\n     * - MUST NOT revert.\n     */\n    function maxMint(\n        address receiver\n    ) external view returns (uint256 maxShares);\n\n    /**\n     * @dev Allows an on-chain or off-chain user to simulate the effects of their mint at the current block, given\n     * current on-chain conditions.\n     *\n     * - MUST return as close to and no fewer than the exact amount of assets that would be deposited in a mint call\n     *   in the same transaction. I.e. mint should return the same or fewer assets as previewMint if called in the\n     *   same transaction.\n     * - MUST NOT account for mint limits like those returned from maxMint and should always act as though the mint\n     *   would be accepted, regardless if the user has enough tokens approved, etc.\n     * - MUST be inclusive of deposit fees. Integrators should be aware of the existence of deposit fees.\n     * - MUST NOT revert.\n     *\n     * NOTE: any unfavorable discrepancy between convertToAssets and previewMint SHOULD be considered slippage in\n     * share price or some other type of condition, meaning the depositor will lose assets by minting.\n     */\n    function previewMint(uint256 shares) external view returns (uint256 assets);\n\n    /**\n     * @dev Mints exactly shares Vault shares to receiver by depositing amount of underlying tokens.\n     *\n     * - MUST emit the Deposit event.\n     * - MAY support an additional flow in which the underlying tokens are owned by the Vault contract before the mint\n     *   execution, and are accounted for during mint.\n     * - MUST revert if all of shares cannot be minted (due to deposit limit being reached, slippage, the user not\n     *   approving enough underlying tokens to the Vault contract, etc).\n     *\n     * NOTE: most implementations will require pre-approval of the Vault with the Vault’s underlying asset token.\n     */\n    function mint(\n        uint256 shares,\n        address receiver\n    ) external returns (uint256 assets);\n\n    /**\n     * @dev Returns the maximum amount of the underlying asset that can be withdrawn from the owner balance in the\n     * Vault, through a withdraw call.\n     *\n     * - MUST return a limited value if owner is subject to some withdrawal limit or timelock.\n     * - MUST NOT revert.\n     */\n    function maxWithdraw(\n        address owner\n    ) external view returns (uint256 maxAssets);\n\n    /**\n     * @dev Allows an on-chain or off-chain user to simulate the effects of their withdrawal at the current block,\n     * given current on-chain conditions.\n     *\n     * - MUST return as close to and no fewer than the exact amount of Vault shares that would be burned in a withdraw\n     *   call in the same transaction. I.e. withdraw should return the same or fewer shares as previewWithdraw if\n     *   called\n     *   in the same transaction.\n     * - MUST NOT account for withdrawal limits like those returned from maxWithdraw and should always act as though\n     *   the withdrawal would be accepted, regardless if the user has enough shares, etc.\n     * - MUST be inclusive of withdrawal fees. Integrators should be aware of the existence of withdrawal fees.\n     * - MUST NOT revert.\n     *\n     * NOTE: any unfavorable discrepancy between convertToShares and previewWithdraw SHOULD be considered slippage in\n     * share price or some other type of condition, meaning the depositor will lose assets by depositing.\n     */\n    function previewWithdraw(\n        uint256 assets\n    ) external view returns (uint256 shares);\n\n    /**\n     * @dev Burns shares from owner and sends exactly assets of underlying tokens to receiver.\n     *\n     * - MUST emit the Withdraw event.\n     * - MAY support an additional flow in which the underlying tokens are owned by the Vault contract before the\n     *   withdraw execution, and are accounted for during withdraw.\n     * - MUST revert if all of assets cannot be withdrawn (due to withdrawal limit being reached, slippage, the owner\n     *   not having enough shares, etc).\n     *\n     * Note that some implementations will require pre-requesting to the Vault before a withdrawal may be performed.\n     * Those methods should be performed separately.\n     */\n    function withdraw(\n        uint256 assets,\n        address receiver,\n        address owner\n    ) external returns (uint256 shares);\n\n    /**\n     * @dev Returns the maximum amount of Vault shares that can be redeemed from the owner balance in the Vault,\n     * through a redeem call.\n     *\n     * - MUST return a limited value if owner is subject to some withdrawal limit or timelock.\n     * - MUST return balanceOf(owner) if owner is not subject to any withdrawal limit or timelock.\n     * - MUST NOT revert.\n     */\n    function maxRedeem(address owner) external view returns (uint256 maxShares);\n\n    /**\n     * @dev Allows an on-chain or off-chain user to simulate the effects of their redemption at the current block,\n     * given current on-chain conditions.\n     *\n     * - MUST return as close to and no more than the exact amount of assets that would be withdrawn in a redeem call\n     *   in the same transaction. I.e. redeem should return the same or more assets as previewRedeem if called in the\n     *   same transaction.\n     * - MUST NOT account for redemption limits like those returned from maxRedeem and should always act as though the\n     *   redemption would be accepted, regardless if the user has enough shares, etc.\n     * - MUST be inclusive of withdrawal fees. Integrators should be aware of the existence of withdrawal fees.\n     * - MUST NOT revert.\n     *\n     * NOTE: any unfavorable discrepancy between convertToAssets and previewRedeem SHOULD be considered slippage in\n     * share price or some other type of condition, meaning the depositor will lose assets by redeeming.\n     */\n    function previewRedeem(\n        uint256 shares\n    ) external view returns (uint256 assets);\n\n    /**\n     * @dev Burns exactly shares from owner and sends assets of underlying tokens to receiver.\n     *\n     * - MUST emit the Withdraw event.\n     * - MAY support an additional flow in which the underlying tokens are owned by the Vault contract before the\n     *   redeem execution, and are accounted for during redeem.\n     * - MUST revert if all of shares cannot be redeemed (due to withdrawal limit being reached, slippage, the owner\n     *   not having enough shares, etc).\n     *\n     * NOTE: some implementations will require pre-requesting to the Vault before a withdrawal may be performed.\n     * Those methods should be performed separately.\n     */\n    function redeem(\n        uint256 shares,\n        address receiver,\n        address owner\n    ) external returns (uint256 assets);\n}\n"},"contracts/interfaces/IShare.sol":{"content":"// SPDX-License-Identifier: BUSL-1.1\npragma solidity ^0.8.24;\n\nimport {IERC20Metadata as IERC20} from \"@openzeppelin/contracts/token/ERC20/extensions/IERC20Metadata.sol\";\n\n/// @title IShare\n/// @notice This interface defines the functions and events of the Share contract, which manages the tokenization of receivables. As receivables become available the can be purchased with a stablecoin like USDC, USDT, EURC, etc. The contract is [ERC-4626](https://ethereum.org/en/developers/docs/standards/tokens/erc-4626/) compliant. The `asset()` function returns the asset contract address. The contract also handles redemption of receivable tokens (a.k.a. sTokens depending on the asset: sUSDC, sUSDT, sEURC, etc.). Pricing increases dynamically based on the amount of receivables that are sold.\n/// | Chain Type | Name | ID | Market | Currency | Contract Address |\n/// | ---------- | ---- | -- | ------ | ------ | ---------------- |\n/// | Mainnet      | Base | 8453 | US | USD | [0x7e6C74cFFC9B179BFd6C69C79682920Bf7611eF3](https://basescan.org/contract/0x7e6C74cFFC9B179BFd6C69C79682920Bf7611eF3) |\n/// | Testnet      | Base Sepolia | 84532 | US | USD | [0x47BA8e2832Fce402aa21BD64E72824F062e91AE3](https://sepolia.basescan.org/contract/0x47BA8e2832Fce402aa21BD64E72824F062e91AE3) |\ninterface IShare is IERC20 {\n    /// @notice Emitted when the discount rate parameters are updated\n    /// @param discountRateBase The new base discount rate (per second)\n    /// @param discountRateSlope The new discount rate slope (per second)\n    event DiscountChange(uint discountRateBase, uint discountRateSlope);\n\n    /// @notice Emitted when the idle factor parameters are updated\n    /// @param minIdleFactor The new minimum idle factor\n    /// @param maxIdleFactor The new maximum idle factor\n    event IdleFactorChange(uint minIdleFactor, uint maxIdleFactor);\n\n    /// @notice Emitted when the vault status is updated\n    /// @param vault The vault address\n    /// @param isVault The new vault status\n    event UpdateVault(address vault, bool isVault);\n\n    /// @notice Emitted when discount accrual is processed\n    /// @param timeElapsed The time elapsed since the last accrual (in seconds)\n    /// @param assetTotalDeployedStart The total assets deployed at the start of the accrual period\n    /// @param assetTotalDeployedEnd The total assets deployed at the end of the accrual period\n    /// @param assetTotalIdle The total assets idle during the accrual period\n    event Accrue(\n        uint timeElapsed,\n        uint assetTotalDeployedStart,\n        uint assetTotalDeployedEnd,\n        uint assetTotalIdle\n    );\n\n    /// @notice Emitted when assets are deployed to RWAs\n    /// @param vault The address of the vault that deployed the assets\n    /// @param assets The amount of assets transferred\n    event ShareDeployAsset(address indexed vault, uint assets);\n\n    /// @notice Emitted when assets are recalled from RWAs\n    /// @param vault The address of the vault that recalled the assets\n    /// @param assets The amount of assets transferred\n    event ShareRecallAsset(address indexed vault, uint assets);\n\n    /// @notice Error thrown when the timestamp exceeds the maximum value that can be stored\n    /// @param timestamp The timestamp that caused the error\n    error TimestampTooLarge(uint timestamp);\n\n    /// @notice Error thrown when the caller is not a vault\n    error ShareUnauthorizedVault();\n\n    /// @notice Error thrown when there are insufficient idle assets\n    /// @param assets The amount of assets that caused the error\n    /// @param max The maximum amount of assets that can be deployed\n    error ShareInsufficientIdleAssets(uint assets, uint max);\n\n    /// @notice Error thrown when there are insufficient deployed assets\n    /// @param assets The amount of assets that caused the error\n    /// @param max The maximum amount of assets that can be deployed\n    error ShareInsufficientDeployedAssets(uint assets, uint max);\n\n    /// @notice Error thrown when the accrual is out of date\n    /// @param timeElapsed The time elapsed since the last accrual\n    error AccrualOutOfDate(uint timeElapsed);\n\n    /// @notice The slope component of the discount rate (per second)\n    /// @dev Adjusted by dividing annual rate by SECONDS_PER_YEAR\n    function discountRateSlope() external view returns (uint64);\n\n    /// @notice The base component of the discount rate (per second)\n    /// @dev Adjusted by dividing annual rate by SECONDS_PER_YEAR\n    function discountRateBase() external view returns (uint64);\n\n    /// @notice The minimum idle factor, representing the minimum percent of total assets that must remain idle\n    /// @dev Scaled by FactorScale (1e18)\n    function minIdleFactor() external view returns (uint64);\n\n    /// @notice The maximum idle factor, representing the maximum percent of total assets that should remain idle\n    /// @dev Scaled by FactorScale (1e18)\n    function maxIdleFactor() external view returns (uint64);\n\n    /// @notice The timestamp of the last accrual calculation\n    /// @dev Stored as uint40 to save gas, can represent timestamps until year 36812\n    function lastAccrualTime() external view returns (uint40);\n\n    /// @notice Returns the total assets deployed\n    /// @dev Calculated by applying discount accrual since last update\n    function assetTotalDeployed() external view returns (uint);\n\n    /// @notice Returns the total assets idle\n    /// @dev Includes idle assets across all vaults\n    function assetTotalIdle() external view returns (uint);\n\n    /// @notice Calculates the accrual rate of deployed assets based on utilization\n    /// @dev The accrual rate is used to determine how share value increases over time\n    /// @param utilization_ The current utilization factor (ratio of assets in share to deployed assets)\n    /// @return The calculated accrual rate including base rate plus slope component\n    function accrueRate(uint utilization_) external view returns (uint);\n\n    /// @notice Simulates an accrual at the current block, given current on-chain conditions\n    /// @dev Uses the time elapsed since last accrual and calculates accrual\n    /// @return timeElapsed The time elapsed since last accrual in seconds\n    /// @return assetTotalDeployedStart The total assets deployed at the start of the accrual period\n    /// @return assetTotalDeployedEnd The total assets deployed at the end of the accrual period\n    /// @return assetTotalIdle The total assets idle during the accrual period\n    function previewAccrue() external view returns (uint, uint, uint, uint);\n\n    /// @notice Performs an accrual at the current block, given current on-chain conditions\n    /// @dev Can only be called by the vaults. Should be called by vaults before converting between assets and shares.\n    function accrue() external;\n\n    /// @notice Mints shares to the specified address\n    /// @dev Can only be called by linked vaults\n    /// @param to The address to mint shares to\n    /// @param shares The total shares to mint\n    /// @param assets The total assets added to the vault\n    function mint(address to, uint256 shares, uint256 assets) external;\n\n    /// @notice Burns shares from the specified owner\n    /// @dev Can only be called by linked vaults\n    /// @param owner The owner of the shares to burn\n    /// @param shares The total shares to burn\n    /// @param assets The total assets removed from the vault\n    function burn(address owner, uint256 shares, uint256 assets) external;\n\n    /// @notice Spends the allowance of shares from the owner to the spender\n    /// @dev Can only be called by linked vaults\n    /// @param owner The owner of the shares\n    /// @param spender The spender of the shares\n    /// @param shares The total shares to spend\n    function spendAllowance(\n        address owner,\n        address spender,\n        uint256 shares\n    ) external;\n\n    /// @notice Deploys assets from vault to RWA\n    /// @dev Can only be called by the contract owner\n    /// @dev Transfers assets from contract to owner and increases the assetTotalInRwa\n    /// @dev Emits a TransferToRwa event after the transfer is complete\n    /// @param assets Assets to transfer, or max uint to transfer all available\n    /// @return The amount of assets transferred\n    /// @custom:error ShareInsufficientIdleAssets Thrown if trying to transfer more than available\n    function deploy(uint256 assets) external returns (uint256);\n\n    /// @notice Recalls assets from RWA\n    /// @dev Can only be called by the contract owner\n    /// @dev Transfers assets from rwa to vault and decreases the assetTotalInRwa\n    /// @dev Emits a TransferFromRwa event after the transfer is complete\n    /// @param assets Assets to transfer, or max uint to transfer all available\n    /// @return The amount of assets transferred\n    /// @custom:error ShareInsufficientDeployedAssets Thrown if trying to settle more than the total sold amount\n    function recall(uint256 assets) external returns (uint256);\n}\n"},"contracts/interfaces/IVault.sol":{"content":"// SPDX-License-Identifier: BUSL-1.1\npragma solidity ^0.8.24;\n\nimport {IERC7575} from \"./IERC7575.sol\";\nimport {IERC7540Deposit, IERC7540Redeem, IERC7540Operator} from \"./IERC7540.sol\";\n\n/// @title IVault\n/// @notice This interface defines the functions and events of the Vault contract, which manages the tokenization of receivables. As receivables become available the can be purchased with a stablecoin like USDC, USDT, EURC, etc. The contract is [ERC-4626](https://ethereum.org/en/developers/docs/standards/tokens/erc-4626/) compliant. The `asset()` function returns the asset contract address. The contract also handles redemption of receivable tokens (a.k.a. sTokens depending on the asset: sUSDC, sUSDT, sEURC, etc.). Pricing increases dynamically based on the amount of receivables that are sold.\n/// | Chain Type | Name | ID | Market | Asset | Contract Address |\n/// | ---------- | ---- | -- | ------ |------ | ---------------- |\n/// | Mainnet      | Base | 8453 | US | [USDC](https://basescan.org/token/0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913) | [0x7e6C74cFFC9B179BFd6C69C79682920Bf7611eF3](https://basescan.org/address/0x7e6C74cFFC9B179BFd6C69C79682920Bf7611eF3) |\n/// | Testnet      | Base Sepolia | 84532 | US | [USDC](https://sepolia.basescan.org/token/0x036CbD53842c5426634e7929541eC2318f3dCF7e) | [0x47BA8e2832Fce402aa21BD64E72824F062e91AE3](https://sepolia.basescan.org/address/0x47BA8e2832Fce402aa21BD64E72824F062e91AE3) |\ninterface IVault is\n    IERC7575,\n    IERC7540Deposit,\n    IERC7540Redeem,\n    IERC7540Operator\n{\n    /// @notice Emitted when assets are deployed to RWAs\n    /// @param to The address of the receiver of the assets\n    /// @param assets The amount of assets transferred\n    event VaultDeployAsset(address indexed to, uint assets);\n\n    /// @notice Emitted when assets are recalled from RWAs\n    /// @param from The address of the sender of the assets\n    /// @param assets The amount of assets transferred\n    event VaultRecallAsset(address indexed from, uint assets);\n}\n"},"contracts/Share_.sol":{"content":"// SPDX-License-Identifier: BUSL-1.1\n// Compatible with OpenZeppelin Contracts ^5.0.0\npragma solidity ^0.8.27;\n\nimport {IERC20Metadata as IERC20} from \"@openzeppelin/contracts/token/ERC20/extensions/IERC20Metadata.sol\";\nimport {ERC20Upgradeable} from \"@openzeppelin/contracts-upgradeable/token/ERC20/ERC20Upgradeable.sol\";\nimport {ERC20PausableUpgradeable} from \"@openzeppelin/contracts-upgradeable/token/ERC20/extensions/ERC20PausableUpgradeable.sol\";\nimport {ERC20PermitUpgradeable} from \"@openzeppelin/contracts-upgradeable/token/ERC20/extensions/ERC20PermitUpgradeable.sol\";\nimport {Initializable} from \"@openzeppelin/contracts-upgradeable/proxy/utils/Initializable.sol\";\nimport {OwnableUpgradeable} from \"@openzeppelin/contracts-upgradeable/access/OwnableUpgradeable.sol\";\nimport {ReentrancyGuardUpgradeable} from \"@openzeppelin/contracts-upgradeable/utils/ReentrancyGuardUpgradeable.sol\";\nimport {UUPSUpgradeable} from \"@openzeppelin/contracts-upgradeable/proxy/utils/UUPSUpgradeable.sol\";\nimport {Math} from \"@openzeppelin/contracts/utils/math/Math.sol\";\nimport {Helper} from \"./Helper.sol\";\nimport {ShareOptions} from \"./ShareOptions.sol\";\nimport {ShareStore} from \"./ShareStore.sol\";\n\n/// @custom:security-contact security@sivo.com\ncontract Share_ is\n    Initializable,\n    ERC20PausableUpgradeable,\n    ERC20PermitUpgradeable,\n    OwnableUpgradeable,\n    ReentrancyGuardUpgradeable,\n    ShareOptions,\n    ShareStore,\n    UUPSUpgradeable\n{\n    event DiscountChange(uint discountRateBase, uint discountRateSlope);\n    event IdleFactorChange(uint minIdleFactor, uint maxIdleFactor);\n    error TimestampTooLarge(uint timestamp);\n\n    /// @custom:oz-upgrades-unsafe-allow constructor\n    constructor() {\n        _disableInitializers();\n    }\n\n    function initialize(Options memory options) public initializer {\n        __ERC20_init(options.name, options.symbol);\n        __ERC20Pausable_init();\n        __ERC20Permit_init(options.name);\n        __Ownable_init(options.owner);\n        __ReentrancyGuard_init();\n        __UUPSUpgradeable_init();\n        ShareStorage storage $ = _getShareStorage();\n        $.decimals = options.decimals;\n        $.lastAccrualTime = time();\n        $.discountRateSlope =\n            options.annualDiscountRateSlope /\n            Helper.SecondsPerYear;\n        $.discountRateBase =\n            options.annualDiscountRateBase /\n            Helper.SecondsPerYear;\n        emit DiscountChange($.discountRateBase, $.discountRateSlope);\n        $.minIdleFactor = options.minIdleFactor;\n        $.maxIdleFactor = options.maxIdleFactor;\n        emit IdleFactorChange($.minIdleFactor, $.maxIdleFactor);\n    }\n\n    function _authorizeUpgrade(\n        address newImplementation\n    ) internal override onlyOwner {}\n\n    function time() internal view virtual returns (uint40) {\n        if (block.timestamp >= 2 ** 40)\n            revert TimestampTooLarge(block.timestamp);\n        return uint40(block.timestamp);\n    }\n\n    // The following functions are overrides required by Solidity.\n\n    function _update(\n        address from,\n        address to,\n        uint256 value\n    ) internal override(ERC20Upgradeable, ERC20PausableUpgradeable) {\n        super._update(from, to, value);\n    }\n}\n"},"contracts/Share.sol":{"content":"// SPDX-License-Identifier: BUSL-1.1\n// Compatible with OpenZeppelin Contracts ^5.0.0\npragma solidity ^0.8.27;\n\nimport {IERC20} from \"@openzeppelin/contracts/token/ERC20/IERC20.sol\";\nimport {IERC20Metadata} from \"@openzeppelin/contracts/token/ERC20/extensions/IERC20Metadata.sol\";\nimport {ERC20Upgradeable} from \"@openzeppelin/contracts-upgradeable/token/ERC20/ERC20Upgradeable.sol\";\nimport {ERC20PausableUpgradeable} from \"@openzeppelin/contracts-upgradeable/token/ERC20/extensions/ERC20PausableUpgradeable.sol\";\nimport {ERC20PermitUpgradeable} from \"@openzeppelin/contracts-upgradeable/token/ERC20/extensions/ERC20PermitUpgradeable.sol\";\nimport {Initializable} from \"@openzeppelin/contracts-upgradeable/proxy/utils/Initializable.sol\";\nimport {OwnableUpgradeable} from \"@openzeppelin/contracts-upgradeable/access/OwnableUpgradeable.sol\";\nimport {ReentrancyGuardUpgradeable} from \"@openzeppelin/contracts-upgradeable/utils/ReentrancyGuardUpgradeable.sol\";\nimport {UUPSUpgradeable} from \"@openzeppelin/contracts-upgradeable/proxy/utils/UUPSUpgradeable.sol\";\nimport {Math} from \"@openzeppelin/contracts/utils/math/Math.sol\";\nimport {Helper} from \"./Helper.sol\";\nimport {IShare} from \"./interfaces/IShare.sol\";\nimport {ShareOptions} from \"./ShareOptions.sol\";\nimport {ShareStore} from \"./ShareStore.sol\";\n\n/// @custom:security-contact security@sivo.com\ncontract Share is\n    Initializable,\n    ERC20PausableUpgradeable,\n    ERC20PermitUpgradeable,\n    IShare,\n    OwnableUpgradeable,\n    ReentrancyGuardUpgradeable,\n    ShareOptions,\n    ShareStore,\n    UUPSUpgradeable\n{\n    /// @custom:oz-upgrades-unsafe-allow constructor\n    constructor() {\n        _disableInitializers();\n    }\n\n    function initialize(Options memory options) public initializer {\n        __ERC20_init(options.name, options.symbol);\n        __ERC20Pausable_init();\n        __ERC20Permit_init(options.name);\n        __Ownable_init(options.owner);\n        __ReentrancyGuard_init();\n        __UUPSUpgradeable_init();\n        ShareStorage storage $ = _getShareStorage();\n        $.decimals = options.decimals;\n        $.lastAccrualTime = time();\n        $.discountRateSlope =\n            options.annualDiscountRateSlope /\n            Helper.SecondsPerYear;\n        $.discountRateBase =\n            options.annualDiscountRateBase /\n            Helper.SecondsPerYear;\n        emit DiscountChange($.discountRateBase, $.discountRateSlope);\n        $.minIdleFactor = options.minIdleFactor;\n        $.maxIdleFactor = options.maxIdleFactor;\n        emit IdleFactorChange($.minIdleFactor, $.maxIdleFactor);\n    }\n\n    /**\n     * @dev Throws if the sender is not a vault.\n     */\n    modifier onlyVault() {\n        _checkVault();\n        _;\n    }\n\n    /**\n     * @dev Throws if the sender is not a vault.\n     */\n    function _checkVault() internal view virtual {\n        if (_isVault()) return;\n        revert ShareUnauthorizedVault();\n    }\n\n    function _isVault() internal view virtual returns (bool) {\n        ShareStorage storage $ = _getShareStorage();\n        return $.isVault[_msgSender()];\n    }\n\n    function _authorizeUpgrade(\n        address newImplementation\n    ) internal override onlyOwner {}\n\n    /// @notice Updates the discount rate parameters\n    /// @dev Can only be called by the contract owner\n    /// @dev Accrues before updating parameters\n    /// @dev Emits a DiscountChange event with the new values\n    /// @param annualDiscountRateBase The new annual discount rate base\n    /// @param annualDiscountRateSlope The new annual discount rate slope\n    function updateDiscount(\n        uint64 annualDiscountRateBase,\n        uint64 annualDiscountRateSlope\n    ) external onlyOwner {\n        _accrue();\n        ShareStorage storage $ = _getShareStorage();\n        $.discountRateSlope = annualDiscountRateSlope / Helper.SecondsPerYear;\n        $.discountRateBase = annualDiscountRateBase / Helper.SecondsPerYear;\n        emit DiscountChange($.discountRateBase, $.discountRateSlope);\n    }\n\n    /// @notice Updates the idle factor parameters\n    /// @dev Can only be called by the contract owner\n    /// @dev Accrues before updating parameters\n    /// @dev Emits an IdleFactorChange event with the new values\n    /// @param minIdleFactor_ The new minimum idle factor\n    /// @param maxIdleFactor_ The new maximum idle factor\n    function updateIdleFactor(\n        uint64 minIdleFactor_,\n        uint64 maxIdleFactor_\n    ) external onlyOwner {\n        ShareStorage storage $ = _getShareStorage();\n        $.minIdleFactor = minIdleFactor_;\n        $.maxIdleFactor = maxIdleFactor_;\n        emit IdleFactorChange($.minIdleFactor, $.maxIdleFactor);\n    }\n\n    function updateVault(address vault, bool isVault) public onlyOwner {\n        ShareStorage storage $ = _getShareStorage();\n        $.isVault[vault] = isVault;\n        emit UpdateVault(vault, isVault);\n    }\n\n    function pause() public onlyOwner {\n        _pause();\n    }\n\n    function unpause() public onlyOwner {\n        _unpause();\n    }\n\n    function accrue() public onlyVault {\n        _accrue();\n    }\n\n    function mint(\n        address to,\n        uint256 shares,\n        uint256 assets\n    ) public onlyVault onlyIfAccrued {\n        ShareStorage storage $ = _getShareStorage();\n        $.assetTotalIdle += assets;\n        _mint(to, shares);\n    }\n\n    function burn(\n        address owner,\n        uint256 shares,\n        uint256 assets\n    ) public onlyVault onlyIfAccrued {\n        ShareStorage storage $ = _getShareStorage();\n        $.assetTotalIdle -= assets;\n        _burn(owner, shares);\n    }\n\n    function spendAllowance(\n        address owner,\n        address spender,\n        uint256 shares\n    ) public onlyVault onlyIfAccrued {\n        _spendAllowance(owner, spender, shares);\n    }\n\n    function transferFrom(\n        address from,\n        address to,\n        uint256 value\n    ) public override(ERC20Upgradeable, IERC20) returns (bool) {\n        if (!_isVault()) return super.transferFrom(from, to, value);\n        _transfer(from, to, value);\n        return true;\n    }\n\n    /// @notice Returns max assets that can be deployed to rwa\n    /// @dev Calculates based on the minimum in-vault factor\n    /// @return Max assets that can be deployed to rwa\n    function maxDeploy() public view onlyIfAccrued returns (uint) {\n        ShareStorage storage $ = _getShareStorage();\n        uint assetTotal_ = $.assetTotalDeployed + $.assetTotalIdle;\n        uint minTotalIdle = Math.mulDiv(\n            assetTotal_,\n            $.minIdleFactor,\n            Helper.FactorScale\n        );\n        if ($.assetTotalIdle < minTotalIdle) return 0;\n        return $.assetTotalIdle - minTotalIdle;\n    }\n\n    function deploy(\n        uint256 assets\n    ) public onlyVault onlyIfAccrued returns (uint256) {\n        uint maxDeploy_ = maxDeploy();\n        // TODO: vault should also pass idle assets, then below: assets = min(maxDeploy_, idle)\n        if (assets == type(uint).max) assets = maxDeploy_;\n        if (assets > maxDeploy_) {\n            revert ShareInsufficientIdleAssets(assets, maxDeploy_);\n        }\n        ShareStorage storage $ = _getShareStorage();\n        $.assetTotalIdle -= assets;\n        $.assetTotalDeployed += assets;\n        emit ShareDeployAsset(_msgSender(), assets);\n        return assets;\n    }\n\n    function recall(\n        uint256 assets\n    ) public onlyVault onlyIfAccrued returns (uint256) {\n        ShareStorage storage $ = _getShareStorage();\n        if (assets == type(uint).max) assets = $.assetTotalDeployed;\n        if (assets > $.assetTotalDeployed) {\n            revert ShareInsufficientDeployedAssets(\n                assets,\n                $.assetTotalDeployed\n            );\n        }\n        $.assetTotalDeployed -= assets;\n        $.assetTotalIdle += assets;\n        emit ShareRecallAsset(_msgSender(), assets);\n        return assets;\n    }\n\n    function decimals()\n        public\n        view\n        override(ERC20Upgradeable, IERC20Metadata)\n        returns (uint8)\n    {\n        ShareStorage storage $ = _getShareStorage();\n        return $.decimals;\n    }\n\n    function assetTotalIdle() public view returns (uint) {\n        ShareStorage storage $ = _getShareStorage();\n        return $.assetTotalIdle;\n    }\n\n    function discountRateBase() public view virtual returns (uint64) {\n        ShareStorage storage $ = _getShareStorage();\n        return $.discountRateBase;\n    }\n\n    function discountRateSlope() public view virtual returns (uint64) {\n        ShareStorage storage $ = _getShareStorage();\n        return $.discountRateSlope;\n    }\n\n    function minIdleFactor() public view virtual returns (uint64) {\n        ShareStorage storage $ = _getShareStorage();\n        return $.minIdleFactor;\n    }\n\n    function maxIdleFactor() public view virtual returns (uint64) {\n        ShareStorage storage $ = _getShareStorage();\n        return $.maxIdleFactor;\n    }\n\n    function lastAccrualTime() public view virtual returns (uint40) {\n        ShareStorage storage $ = _getShareStorage();\n        return $.lastAccrualTime;\n    }\n\n    function time() internal view virtual returns (uint40) {\n        if (block.timestamp >= 2 ** 40)\n            revert TimestampTooLarge(block.timestamp);\n        return uint40(block.timestamp);\n    }\n\n    function utilization(\n        uint assetTotalIdle_,\n        uint assetTotalDeployed_\n    ) internal pure returns (uint) {\n        uint assetTotalSupplied_ = assetTotalDeployed_ + assetTotalIdle_;\n        return\n            assetTotalSupplied_ == 0\n                ? 0\n                : Math.mulDiv(\n                    assetTotalDeployed_,\n                    Helper.FactorScale,\n                    assetTotalSupplied_\n                );\n    }\n\n    /// @inheritdoc IShare\n    function accrueRate(uint utilization_) public view returns (uint) {\n        ShareStorage storage $ = _getShareStorage();\n        return\n            $.discountRateBase +\n            Math.mulDiv($.discountRateSlope, utilization_, Helper.FactorScale);\n    }\n\n    function accrueDiscount(\n        uint timeElapsed,\n        uint assetTotalIdle_,\n        uint assetTotalDeployed_\n    ) internal view returns (uint) {\n        uint utilization_ = utilization(assetTotalIdle_, assetTotalDeployed_);\n        uint accrueRate_ = accrueRate(utilization_);\n        return\n            Math.mulDiv(\n                assetTotalDeployed_,\n                Helper.exp(accrueRate_ * timeElapsed),\n                Helper.FactorScale\n            );\n    }\n\n    function _timeElapsed() internal view returns (uint40, uint) {\n        uint40 now_ = time();\n        ShareStorage storage $ = _getShareStorage();\n        return (now_, now_ - $.lastAccrualTime);\n    }\n\n    function _checkAccrued() internal view virtual {\n        (, uint timeElapsed_) = _timeElapsed();\n        if (timeElapsed_ > 0) {\n            revert AccrualOutOfDate(timeElapsed_);\n        }\n    }\n\n    /**\n     * @dev Throws if accrual is not up-to-date.\n     */\n    modifier onlyIfAccrued() {\n        _checkAccrued();\n        _;\n    }\n\n    function _previewAccrue(\n        uint timeElapsed_\n    ) internal view returns (uint, uint, uint) {\n        ShareStorage storage $ = _getShareStorage();\n        uint assetTotalDeployed_ = accrueDiscount(\n            timeElapsed_,\n            $.assetTotalIdle,\n            $.assetTotalDeployed\n        );\n        return ($.assetTotalDeployed, assetTotalDeployed_, $.assetTotalIdle);\n    }\n\n    function previewAccrue() public view returns (uint, uint, uint, uint) {\n        (, uint timeElapsed_) = _timeElapsed();\n        (\n            uint assetTotalDeployedStart,\n            uint assetTotalDeployedEnd,\n            uint assetTotalIdle_\n        ) = _previewAccrue(timeElapsed_);\n        return (\n            timeElapsed_,\n            assetTotalDeployedStart,\n            assetTotalDeployedEnd,\n            assetTotalIdle_\n        );\n    }\n\n    function _accrue() internal {\n        (uint40 now_, uint timeElapsed_) = _timeElapsed();\n        if (timeElapsed_ == 0) return;\n        (\n            uint assetTotalDeployedStart,\n            uint assetTotalDeployedEnd,\n            uint assetTotalIdle_\n        ) = _previewAccrue(timeElapsed_);\n        ShareStorage storage $ = _getShareStorage();\n        $.assetTotalDeployed = assetTotalDeployedEnd;\n        $.lastAccrualTime = now_;\n        emit Accrue(\n            timeElapsed_,\n            assetTotalDeployedStart,\n            assetTotalDeployedEnd,\n            assetTotalIdle_\n        );\n    }\n\n    function assetTotalDeployed() public view virtual returns (uint) {\n        (, , uint assetTotalDeployed_, ) = previewAccrue();\n        return assetTotalDeployed_;\n    }\n\n    function totalAssets() public view returns (uint) {\n        (, , uint assetTotalDeployed_, uint assetTotalIdle_) = previewAccrue();\n        return assetTotalDeployed_ + assetTotalIdle_;\n    }\n\n    // The following functions are overrides required by Solidity.\n\n    function _update(\n        address from,\n        address to,\n        uint256 value\n    ) internal override(ERC20Upgradeable, ERC20PausableUpgradeable) {\n        super._update(from, to, value);\n    }\n}\n"},"contracts/ShareOptions.sol":{"content":"// SPDX-License-Identifier: BUSL-1.1\npragma solidity ^0.8.27;\n\ncontract ShareOptions {\n    struct Options {\n        string name;\n        string symbol;\n        uint8 decimals;\n        address owner;\n        uint64 annualDiscountRateSlope;\n        uint64 annualDiscountRateBase;\n        uint64 minIdleFactor;\n        uint64 maxIdleFactor;\n    }\n}\n"},"contracts/ShareStore.sol":{"content":"// SPDX-License-Identifier: BUSL-1.1\n// Compatible with OpenZeppelin Contracts ^5.0.0\npragma solidity ^0.8.27;\n\n/// @custom:security-contact security@sivo.com\ncontract ShareStore {\n    /// @custom:storage-location erc7201:sivo.storage.Share\n    struct ShareStorage {\n        uint8 decimals;\n        uint assetTotalDeployed;\n        uint assetTotalIdle;\n        uint40 lastAccrualTime;\n        uint64 discountRateSlope;\n        uint64 discountRateBase;\n        uint64 minIdleFactor;\n        uint64 maxIdleFactor;\n        mapping(address => bool) isVault;\n    }\n\n    /// @dev keccak256(abi.encode(uint256(keccak256(\"sivo.storage.Share\")) - 1)) & ~bytes32(uint256(0xff))\n    bytes32 private constant ShareStorageLocation =\n        0x5511b49c1294e538d1be51ecdb0ad6f3811c99158095bd8880b406713705ba00;\n\n    function _getShareStorage() internal pure returns (ShareStorage storage $) {\n        assembly {\n            $.slot := ShareStorageLocation\n        }\n    }\n}\n"},"contracts/test/Asset.sol":{"content":"// SPDX-License-Identifier: MIT\n// Compatible with OpenZeppelin Contracts ^5.0.0\npragma solidity ^0.8.22;\n\nimport {ERC20} from \"@openzeppelin/contracts/token/ERC20/ERC20.sol\";\nimport {Ownable} from \"@openzeppelin/contracts/access/Ownable.sol\";\n\ncontract Asset is ERC20, Ownable {\n    uint8 private _decimals;\n\n    constructor(\n        string memory symbol_,\n        uint8 decimals_,\n        address initialOwner\n    ) ERC20(symbol_, symbol_) Ownable(initialOwner) {\n        _decimals = decimals_;\n    }\n\n    function decimals() public view override returns (uint8) {\n        return _decimals;\n    }\n\n    function mint(address to, uint256 amount) public onlyOwner {\n        _mint(to, amount);\n    }\n}\n"},"contracts/test/HelperHarness.sol":{"content":"// SPDX-License-Identifier: BUSL-1.1\npragma solidity ^0.8.24;\n\nimport \"../Helper.sol\";\n\ncontract HelperHarness {\n    uint64 public constant Precision = Helper.Precision;\n\n    function exp(uint x) public pure returns (uint) {\n        return Helper.exp(x);\n    }\n}\n"},"contracts/test/ShareHarness.sol":{"content":"// SPDX-License-Identifier: BUSL-1.1\npragma solidity ^0.8.24;\n\nimport \"../Share.sol\";\n\ncontract ShareHarness is Share {\n    // Create a struct without mappings that can be returned by public functions\n    struct ShareStorageView {\n        uint8 decimals;\n        uint assetTotalDeployed;\n        uint assetTotalIdle;\n        uint40 lastAccrualTime;\n        uint64 discountRateSlope;\n        uint64 discountRateBase;\n        uint64 minIdleFactor;\n        uint64 maxIdleFactor;\n    }\n\n    function getInternalData() public view returns (ShareStorageView memory) {\n        ShareStorage storage $ = _getShareStorage();\n        return\n            ShareStorageView({\n                decimals: $.decimals,\n                assetTotalDeployed: $.assetTotalDeployed,\n                assetTotalIdle: $.assetTotalIdle,\n                lastAccrualTime: $.lastAccrualTime,\n                discountRateSlope: $.discountRateSlope,\n                discountRateBase: $.discountRateBase,\n                minIdleFactor: $.minIdleFactor,\n                maxIdleFactor: $.maxIdleFactor\n            });\n    }\n\n    function isVault(address vault) public view returns (bool) {\n        ShareStorage storage $ = _getShareStorage();\n        return $.isVault[vault];\n    }\n}\n"},"contracts/test/VaultHarness.sol":{"content":"// SPDX-License-Identifier: BUSL-1.1\npragma solidity ^0.8.24;\n\nimport \"../Vault.sol\";\n\ncontract VaultHarness is Vault {}\n"},"contracts/Vault_.sol":{"content":"// SPDX-License-Identifier: BUSL-1.1\n// Compatible with OpenZeppelin Contracts ^5.0.0\npragma solidity ^0.8.27;\n\nimport {IERC20Metadata as IERC20} from \"@openzeppelin/contracts/token/ERC20/extensions/IERC20Metadata.sol\";\nimport {SafeERC20} from \"@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol\";\nimport {OwnableUpgradeable} from \"@openzeppelin/contracts-upgradeable/access/OwnableUpgradeable.sol\";\nimport {PausableUpgradeable} from \"@openzeppelin/contracts-upgradeable/utils/PausableUpgradeable.sol\";\nimport {ReentrancyGuardUpgradeable} from \"@openzeppelin/contracts-upgradeable/utils/ReentrancyGuardUpgradeable.sol\";\nimport {UUPSUpgradeable} from \"@openzeppelin/contracts-upgradeable/proxy/utils/UUPSUpgradeable.sol\";\nimport {Math} from \"@openzeppelin/contracts/utils/math/Math.sol\";\nimport {ERC7575Upgradeable} from \"./ERC7575Upgradeable.sol\";\nimport {Helper} from \"./Helper.sol\";\nimport {IERC7575} from \"./interfaces/IERC7575.sol\";\nimport {IShare} from \"./interfaces/IShare.sol\";\nimport {ERC7575Store} from \"./ERC7575Store.sol\";\nimport {VaultOptions} from \"./VaultOptions.sol\";\n\n/// @title Vault Contract\n/// @notice This contract manages the tokenization of receivables. As receivables become available the can be purchased with a stablecoin like USDC, USDT, EURC, etc. The contract is [ERC-4626](https://ethereum.org/en/developers/docs/standards/tokens/erc-4626/) compliant. The `asset()` function returns the asset contract address. The contract also handles redemption of receivable tokens (a.k.a. sTokens depending on the asset: sUSDC, sUSDT, sEURC, etc.). Pricing increases dynamically based on the amount of receivables that are sold.\n/// @notice Deployed contract addresses:\n/// | Chain Type | Name | ID | Contract Address |\n/// | ------------ | ---------- | -------- | ---------------- |\n/// | Mainnet      | Base       | 8453     | [0x63001191a63B9458D3Eafe7Ad704042B1Ae9C60B](https://basescan.org/token/0x63001191a63B9458D3Eafe7Ad704042B1Ae9C60B) |\n/// | Testnet      | Base Sepolia | 84532   | [0xc8Bc7A069493fFb1953a6bf17B26c670CCEC54b6](https://sepolia.basescan.org/token/0xc8Bc7A069493fFb1953a6bf17B26c670CCEC54b6) |\n/// @custom:security-contact security@sivo.com\ncontract Vault_ is\n    ERC7575Store,\n    OwnableUpgradeable,\n    PausableUpgradeable,\n    ReentrancyGuardUpgradeable,\n    UUPSUpgradeable,\n    VaultOptions\n{\n    /// @custom:oz-upgrades-unsafe-allow constructor\n    constructor() {\n        _disableInitializers();\n    }\n\n    function initialize(Options memory options) public initializer {\n        __ERC7575_init(options.asset, options.share);\n        __Ownable_init(options.owner);\n        __ReentrancyGuard_init();\n        __UUPSUpgradeable_init();\n    }\n\n    function _authorizeUpgrade(\n        address newImplementation\n    ) internal override onlyOwner {}\n}\n"},"contracts/Vault.sol":{"content":"// SPDX-License-Identifier: BUSL-1.1\n// Compatible with OpenZeppelin Contracts ^5.0.0\npragma solidity ^0.8.27;\n\nimport {IERC20Metadata as IERC20} from \"@openzeppelin/contracts/token/ERC20/extensions/IERC20Metadata.sol\";\nimport {SafeERC20} from \"@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol\";\nimport {Initializable} from \"@openzeppelin/contracts-upgradeable/proxy/utils/Initializable.sol\";\nimport {OwnableUpgradeable} from \"@openzeppelin/contracts-upgradeable/access/OwnableUpgradeable.sol\";\nimport {PausableUpgradeable} from \"@openzeppelin/contracts-upgradeable/utils/PausableUpgradeable.sol\";\nimport {ReentrancyGuardUpgradeable} from \"@openzeppelin/contracts-upgradeable/utils/ReentrancyGuardUpgradeable.sol\";\nimport {UUPSUpgradeable} from \"@openzeppelin/contracts-upgradeable/proxy/utils/UUPSUpgradeable.sol\";\nimport {Math} from \"@openzeppelin/contracts/utils/math/Math.sol\";\nimport {ERC7540Upgradeable} from \"./ERC7540Upgradeable.sol\";\nimport {ERC7575Upgradeable} from \"./ERC7575Upgradeable.sol\";\nimport {Helper} from \"./Helper.sol\";\nimport {IERC7575} from \"./interfaces/IERC7575.sol\";\nimport {IShare} from \"./interfaces/IShare.sol\";\nimport {IVault} from \"./interfaces/IVault.sol\";\nimport {VaultOptions} from \"./VaultOptions.sol\";\n\n/// @title Vault Contract\n/// @notice This contract manages the tokenization of receivables. As receivables become available the can be purchased with a stablecoin like USDC, USDT, EURC, etc. The contract is [ERC-4626](https://ethereum.org/en/developers/docs/standards/tokens/erc-4626/) compliant. The `asset()` function returns the asset contract address. The contract also handles redemption of receivable tokens (a.k.a. sTokens depending on the asset: sUSDC, sUSDT, sEURC, etc.). Pricing increases dynamically based on the amount of receivables that are sold.\n/// @notice Deployed contract addresses:\n/// | Chain Type | Name | ID | Contract Address |\n/// | ------------ | ---------- | -------- | ---------------- |\n/// | Mainnet      | Base       | 8453     | [0x63001191a63B9458D3Eafe7Ad704042B1Ae9C60B](https://basescan.org/token/0x63001191a63B9458D3Eafe7Ad704042B1Ae9C60B) |\n/// | Testnet      | Base Sepolia | 84532   | [0xc8Bc7A069493fFb1953a6bf17B26c670CCEC54b6](https://sepolia.basescan.org/token/0xc8Bc7A069493fFb1953a6bf17B26c670CCEC54b6) |\n/// @custom:security-contact security@sivo.com\ncontract Vault is\n    Initializable,\n    ERC7540Upgradeable,\n    IVault,\n    OwnableUpgradeable,\n    PausableUpgradeable,\n    ReentrancyGuardUpgradeable,\n    UUPSUpgradeable,\n    VaultOptions\n{\n    /// @custom:oz-upgrades-unsafe-allow constructor\n    constructor() {\n        _disableInitializers();\n    }\n\n    function initialize(Options memory options) public initializer {\n        __ERC7575_init(options.asset, options.share);\n        __Ownable_init(options.owner);\n        __ReentrancyGuard_init();\n        __UUPSUpgradeable_init();\n    }\n\n    function _authorizeUpgrade(\n        address newImplementation\n    ) internal override onlyOwner {}\n\n    /// @notice Pauses the contract, preventing deposits and withdrawals\n    /// @dev Can only be called by the contract owner\n    /// @dev When paused, the deposit and withdraw functions will revert\n    function pause() external onlyOwner {\n        _pause();\n    }\n\n    /// @notice Unpauses the contract, allowing deposits and withdrawals\n    /// @dev Can only be called by the contract owner\n    /// @dev Re-enables deposit and withdraw functionality after a pause\n    function unpause() external onlyOwner {\n        _unpause();\n    }\n\n    function _assetTotalInVault() internal view returns (uint) {\n        return IERC20(asset()).balanceOf(address(this));\n    }\n\n    function _shareTotalInVault() internal view returns (uint) {\n        return convertToShares(_assetTotalInVault());\n    }\n\n    /// @inheritdoc IERC7575\n    function maxDeposit(\n        address\n    ) public view override(ERC7575Upgradeable, IERC7575) returns (uint256) {\n        uint assetTotalDeployed_ = _share().assetTotalDeployed();\n        uint assetTotalIdle_ = _share().assetTotalIdle();\n        uint assetTotal_ = assetTotalDeployed_ + assetTotalIdle_;\n        if (assetTotal_ == 0) return type(uint).max;\n        uint minDeployedFactor = Helper.FactorScale - _share().maxIdleFactor();\n        if (minDeployedFactor == 0) return type(uint).max;\n        uint maxTotalAssets = Math.mulDiv(\n            assetTotalDeployed_,\n            Helper.FactorScale,\n            minDeployedFactor\n        );\n        return\n            assetTotalDeployed_ > maxTotalAssets\n                ? 0\n                : maxTotalAssets - assetTotalDeployed_;\n    }\n\n    /// @inheritdoc IERC7575\n    function maxMint(\n        address receiver\n    ) public view override(ERC7575Upgradeable, IERC7575) returns (uint256) {\n        return convertToShares(maxDeposit(receiver));\n    }\n\n    /// @inheritdoc IERC7575\n    function deposit(\n        uint256 assets,\n        address receiver\n    )\n        public\n        override(ERC7575Upgradeable, IERC7575)\n        nonReentrant\n        whenNotPaused\n        returns (uint256)\n    {\n        _share().accrue();\n        if (assets == type(uint).max) assets = maxDeposit(receiver);\n        return super.deposit(assets, receiver);\n    }\n\n    /// @inheritdoc IERC7575\n    function mint(\n        uint256 shares,\n        address receiver\n    )\n        public\n        override(ERC7575Upgradeable, IERC7575)\n        nonReentrant\n        returns (uint256)\n    {\n        _share().accrue();\n        if (shares == type(uint).max) shares = maxMint(receiver);\n        return super.mint(shares, receiver);\n    }\n\n    /// @inheritdoc IERC7575\n    function withdraw(\n        uint256 assets,\n        address receiver,\n        address owner\n    )\n        public\n        override(ERC7540Upgradeable, IERC7575)\n        nonReentrant\n        returns (uint256)\n    {\n        _share().accrue();\n        if (assets == type(uint).max)\n            assets = Math.min(maxWithdraw(owner), _assetTotalInVault());\n        return super.withdraw(assets, receiver, owner);\n    }\n\n    /// @inheritdoc IERC7575\n    function redeem(\n        uint256 shares,\n        address receiver,\n        address owner\n    )\n        public\n        override(ERC7540Upgradeable, IERC7575)\n        nonReentrant\n        returns (uint256)\n    {\n        _share().accrue();\n        if (shares == type(uint).max)\n            shares = Math.min(maxRedeem(owner), _shareTotalInVault());\n        return super.redeem(shares, receiver, owner);\n    }\n\n    /// @notice Deploys assets from vault to RWA\n    /// @dev Can only be called by the contract owner\n    /// @dev Transfers assets from contract to owner and increases the assetTotalInRwa\n    /// @dev Emits a ShareDeployAsset event after the transfer is complete\n    /// @param assets Assets to transfer, or max uint to transfer all available\n    /// @return The amount of assets transferred\n    /// @custom:error ShareDeployAsset Thrown if trying to transfer more than available\n    function deploy(\n        uint assets\n    ) external nonReentrant onlyOwner returns (uint) {\n        _share().accrue();\n        assets = _share().deploy(assets);\n        address to = _msgSender();\n        SafeERC20.safeTransfer(_asset(), to, assets);\n        emit VaultDeployAsset(to, assets);\n        return assets;\n    }\n\n    /// @notice Recalls assets from RWA\n    /// @dev Can only be called by the contract owner\n    /// @dev Transfers assets from rwa to vault and decreases the assetTotalInRwa\n    /// @dev Emits a TransferFromRwa event after the transfer is complete\n    /// @param assets Assets to transfer, or max uint to transfer all available\n    /// @return The amount of assets transferred\n    /// @custom:error ShareInsufficientDeployedAssets Thrown if trying to settle more than the total sold amount\n    function recall(\n        uint assets\n    ) external nonReentrant onlyOwner returns (uint) {\n        _share().accrue();\n        address from = _msgSender();\n        assets = _share().recall(assets);\n        SafeERC20.safeTransferFrom(_asset(), from, address(this), assets);\n        emit VaultRecallAsset(from, assets);\n        return assets;\n    }\n\n    function claimableDeposit(\n        uint256 assets,\n        address controller\n    ) external nonReentrant onlyOwner returns (uint256 shares) {\n        _share().accrue();\n        return _claimableDeposit(assets, controller);\n    }\n\n    function claimableRedeem(\n        uint256 shares,\n        address controller\n    ) external nonReentrant onlyOwner returns (uint256 assets) {\n        _share().accrue();\n        return _claimableRedeem(shares, controller);\n    }\n}\n"},"contracts/VaultOptions.sol":{"content":"// SPDX-License-Identifier: BUSL-1.1\npragma solidity ^0.8.27;\n\ncontract VaultOptions {\n    struct Options {\n        address owner;\n        address asset;\n        address share;\n    }\n}\n"}},"abi":[{"type":"constructor","inputs":[{"name":"implementation","type":"address","internalType":"address"},{"name":"_data","type":"bytes","internalType":"bytes"}],"stateMutability":"payable"},{"name":"AddressEmptyCode","type":"error","inputs":[{"name":"target","type":"address","internalType":"address"}]},{"name":"ERC1967InvalidImplementation","type":"error","inputs":[{"name":"implementation","type":"address","internalType":"address"}]},{"name":"ERC1967NonPayable","type":"error","inputs":[]},{"name":"FailedCall","type":"error","inputs":[]},{"name":"Upgraded","type":"event","inputs":[{"name":"implementation","type":"address","indexed":true,"internalType":"address"}],"anonymous":false},{"type":"fallback","stateMutability":"payable"}],"matchId":"58736723","creationMatch":"exact_match","runtimeMatch":"exact_match","verifiedAt":"2026-11-07T10:04:26Z","match":"exact_match","chainId":"56","address":"0xB40E4D3B33c5d70Ab31a1ddE3c240727691CB738"}