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Contract Name:
RankedAuctionMechanic

Contract Source Code:

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (access/Ownable.sol)

pragma solidity ^0.8.0;

import "../utils/ContextUpgradeable.sol";
import "../proxy/utils/Initializable.sol";

/**
 * @dev Contract module which provides a basic access control mechanism, where
 * there is an account (an owner) that can be granted exclusive access to
 * specific functions.
 *
 * By default, the owner account will be the one that deploys the contract. This
 * can later be changed with {transferOwnership}.
 *
 * This module is used through inheritance. It will make available the modifier
 * `onlyOwner`, which can be applied to your functions to restrict their use to
 * the owner.
 */
abstract contract OwnableUpgradeable is Initializable, ContextUpgradeable {
    address private _owner;

    event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);

    /**
     * @dev Initializes the contract setting the deployer as the initial owner.
     */
    function __Ownable_init() internal onlyInitializing {
        __Ownable_init_unchained();
    }

    function __Ownable_init_unchained() internal onlyInitializing {
        _transferOwnership(_msgSender());
    }

    /**
     * @dev Throws if called by any account other than the owner.
     */
    modifier onlyOwner() {
        _checkOwner();
        _;
    }

    /**
     * @dev Returns the address of the current owner.
     */
    function owner() public view virtual returns (address) {
        return _owner;
    }

    /**
     * @dev Throws if the sender is not the owner.
     */
    function _checkOwner() internal view virtual {
        require(owner() == _msgSender(), "Ownable: caller is not the owner");
    }

    /**
     * @dev Leaves the contract without owner. It will not be possible to call
     * `onlyOwner` functions. Can only be called by the current owner.
     *
     * NOTE: Renouncing ownership will leave the contract without an owner,
     * thereby disabling any functionality that is only available to the owner.
     */
    function renounceOwnership() public virtual onlyOwner {
        _transferOwnership(address(0));
    }

    /**
     * @dev Transfers ownership of the contract to a new account (`newOwner`).
     * Can only be called by the current owner.
     */
    function transferOwnership(address newOwner) public virtual onlyOwner {
        require(newOwner != address(0), "Ownable: new owner is the zero address");
        _transferOwnership(newOwner);
    }

    /**
     * @dev Transfers ownership of the contract to a new account (`newOwner`).
     * Internal function without access restriction.
     */
    function _transferOwnership(address newOwner) internal virtual {
        address oldOwner = _owner;
        _owner = newOwner;
        emit OwnershipTransferred(oldOwner, newOwner);
    }

    /**
     * @dev This empty reserved space is put in place to allow future versions to add new
     * variables without shifting down storage in the inheritance chain.
     * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
     */
    uint256[49] private __gap;
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (proxy/utils/Initializable.sol)

pragma solidity ^0.8.2;

import "../../utils/AddressUpgradeable.sol";

/**
 * @dev This is a base contract to aid in writing upgradeable contracts, or any kind of contract that will be deployed
 * behind a proxy. Since proxied contracts do not make use of a constructor, it's common to move constructor logic to an
 * external initializer function, usually called `initialize`. It then becomes necessary to protect this initializer
 * function so it can only be called once. The {initializer} modifier provided by this contract will have this effect.
 *
 * The initialization functions use a version number. Once a version number is used, it is consumed and cannot be
 * reused. This mechanism prevents re-execution of each "step" but allows the creation of new initialization steps in
 * case an upgrade adds a module that needs to be initialized.
 *
 * For example:
 *
 * [.hljs-theme-light.nopadding]
 * ```solidity
 * contract MyToken is ERC20Upgradeable {
 *     function initialize() initializer public {
 *         __ERC20_init("MyToken", "MTK");
 *     }
 * }
 *
 * contract MyTokenV2 is MyToken, ERC20PermitUpgradeable {
 *     function initializeV2() reinitializer(2) public {
 *         __ERC20Permit_init("MyToken");
 *     }
 * }
 * ```
 *
 * TIP: To avoid leaving the proxy in an uninitialized state, the initializer function should be called as early as
 * possible by providing the encoded function call as the `_data` argument to {ERC1967Proxy-constructor}.
 *
 * CAUTION: When used with inheritance, manual care must be taken to not invoke a parent initializer twice, or to ensure
 * that all initializers are idempotent. This is not verified automatically as constructors are by Solidity.
 *
 * [CAUTION]
 * ====
 * Avoid leaving a contract uninitialized.
 *
 * An uninitialized contract can be taken over by an attacker. This applies to both a proxy and its implementation
 * contract, which may impact the proxy. To prevent the implementation contract from being used, you should invoke
 * the {_disableInitializers} function in the constructor to automatically lock it when it is deployed:
 *
 * [.hljs-theme-light.nopadding]
 * ```
 * /// @custom:oz-upgrades-unsafe-allow constructor
 * constructor() {
 *     _disableInitializers();
 * }
 * ```
 * ====
 */
abstract contract Initializable {
    /**
     * @dev Indicates that the contract has been initialized.
     * @custom:oz-retyped-from bool
     */
    uint8 private _initialized;

    /**
     * @dev Indicates that the contract is in the process of being initialized.
     */
    bool private _initializing;

    /**
     * @dev Triggered when the contract has been initialized or reinitialized.
     */
    event Initialized(uint8 version);

    /**
     * @dev A modifier that defines a protected initializer function that can be invoked at most once. In its scope,
     * `onlyInitializing` functions can be used to initialize parent contracts.
     *
     * Similar to `reinitializer(1)`, except that functions marked with `initializer` can be nested in the context of a
     * constructor.
     *
     * Emits an {Initialized} event.
     */
    modifier initializer() {
        bool isTopLevelCall = !_initializing;
        require(
            (isTopLevelCall && _initialized < 1) || (!AddressUpgradeable.isContract(address(this)) && _initialized == 1),
            "Initializable: contract is already initialized"
        );
        _initialized = 1;
        if (isTopLevelCall) {
            _initializing = true;
        }
        _;
        if (isTopLevelCall) {
            _initializing = false;
            emit Initialized(1);
        }
    }

    /**
     * @dev A modifier that defines a protected reinitializer function that can be invoked at most once, and only if the
     * contract hasn't been initialized to a greater version before. In its scope, `onlyInitializing` functions can be
     * used to initialize parent contracts.
     *
     * A reinitializer may be used after the original initialization step. This is essential to configure modules that
     * are added through upgrades and that require initialization.
     *
     * When `version` is 1, this modifier is similar to `initializer`, except that functions marked with `reinitializer`
     * cannot be nested. If one is invoked in the context of another, execution will revert.
     *
     * Note that versions can jump in increments greater than 1; this implies that if multiple reinitializers coexist in
     * a contract, executing them in the right order is up to the developer or operator.
     *
     * WARNING: setting the version to 255 will prevent any future reinitialization.
     *
     * Emits an {Initialized} event.
     */
    modifier reinitializer(uint8 version) {
        require(!_initializing && _initialized < version, "Initializable: contract is already initialized");
        _initialized = version;
        _initializing = true;
        _;
        _initializing = false;
        emit Initialized(version);
    }

    /**
     * @dev Modifier to protect an initialization function so that it can only be invoked by functions with the
     * {initializer} and {reinitializer} modifiers, directly or indirectly.
     */
    modifier onlyInitializing() {
        require(_initializing, "Initializable: contract is not initializing");
        _;
    }

    /**
     * @dev Locks the contract, preventing any future reinitialization. This cannot be part of an initializer call.
     * Calling this in the constructor of a contract will prevent that contract from being initialized or reinitialized
     * to any version. It is recommended to use this to lock implementation contracts that are designed to be called
     * through proxies.
     *
     * Emits an {Initialized} event the first time it is successfully executed.
     */
    function _disableInitializers() internal virtual {
        require(!_initializing, "Initializable: contract is initializing");
        if (_initialized != type(uint8).max) {
            _initialized = type(uint8).max;
            emit Initialized(type(uint8).max);
        }
    }

    /**
     * @dev Returns the highest version that has been initialized. See {reinitializer}.
     */
    function _getInitializedVersion() internal view returns (uint8) {
        return _initialized;
    }

    /**
     * @dev Returns `true` if the contract is currently initializing. See {onlyInitializing}.
     */
    function _isInitializing() internal view returns (bool) {
        return _initializing;
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (utils/Address.sol)

pragma solidity ^0.8.1;

/**
 * @dev Collection of functions related to the address type
 */
library AddressUpgradeable {
    /**
     * @dev Returns true if `account` is a contract.
     *
     * [IMPORTANT]
     * ====
     * It is unsafe to assume that an address for which this function returns
     * false is an externally-owned account (EOA) and not a contract.
     *
     * Among others, `isContract` will return false for the following
     * types of addresses:
     *
     *  - an externally-owned account
     *  - a contract in construction
     *  - an address where a contract will be created
     *  - an address where a contract lived, but was destroyed
     *
     * Furthermore, `isContract` will also return true if the target contract within
     * the same transaction is already scheduled for destruction by `SELFDESTRUCT`,
     * which only has an effect at the end of a transaction.
     * ====
     *
     * [IMPORTANT]
     * ====
     * You shouldn't rely on `isContract` to protect against flash loan attacks!
     *
     * Preventing calls from contracts is highly discouraged. It breaks composability, breaks support for smart wallets
     * like Gnosis Safe, and does not provide security since it can be circumvented by calling from a contract
     * constructor.
     * ====
     */
    function isContract(address account) internal view returns (bool) {
        // This method relies on extcodesize/address.code.length, which returns 0
        // for contracts in construction, since the code is only stored at the end
        // of the constructor execution.

        return account.code.length > 0;
    }

    /**
     * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
     * `recipient`, forwarding all available gas and reverting on errors.
     *
     * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
     * of certain opcodes, possibly making contracts go over the 2300 gas limit
     * imposed by `transfer`, making them unable to receive funds via
     * `transfer`. {sendValue} removes this limitation.
     *
     * https://consensys.net/diligence/blog/2019/09/stop-using-soliditys-transfer-now/[Learn more].
     *
     * IMPORTANT: because control is transferred to `recipient`, care must be
     * taken to not create reentrancy vulnerabilities. Consider using
     * {ReentrancyGuard} or the
     * https://solidity.readthedocs.io/en/v0.8.0/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
     */
    function sendValue(address payable recipient, uint256 amount) internal {
        require(address(this).balance >= amount, "Address: insufficient balance");

        (bool success, ) = recipient.call{value: amount}("");
        require(success, "Address: unable to send value, recipient may have reverted");
    }

    /**
     * @dev Performs a Solidity function call using a low level `call`. A
     * plain `call` is an unsafe replacement for a function call: use this
     * function instead.
     *
     * If `target` reverts with a revert reason, it is bubbled up by this
     * function (like regular Solidity function calls).
     *
     * Returns the raw returned data. To convert to the expected return value,
     * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
     *
     * Requirements:
     *
     * - `target` must be a contract.
     * - calling `target` with `data` must not revert.
     *
     * _Available since v3.1._
     */
    function functionCall(address target, bytes memory data) internal returns (bytes memory) {
        return functionCallWithValue(target, data, 0, "Address: low-level call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with
     * `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal returns (bytes memory) {
        return functionCallWithValue(target, data, 0, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but also transferring `value` wei to `target`.
     *
     * Requirements:
     *
     * - the calling contract must have an ETH balance of at least `value`.
     * - the called Solidity function must be `payable`.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(address target, bytes memory data, uint256 value) internal returns (bytes memory) {
        return functionCallWithValue(target, data, value, "Address: low-level call with value failed");
    }

    /**
     * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but
     * with `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(
        address target,
        bytes memory data,
        uint256 value,
        string memory errorMessage
    ) internal returns (bytes memory) {
        require(address(this).balance >= value, "Address: insufficient balance for call");
        (bool success, bytes memory returndata) = target.call{value: value}(data);
        return verifyCallResultFromTarget(target, success, returndata, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
        return functionStaticCall(target, data, "Address: low-level static call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal view returns (bytes memory) {
        (bool success, bytes memory returndata) = target.staticcall(data);
        return verifyCallResultFromTarget(target, success, returndata, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but performing a delegate call.
     *
     * _Available since v3.4._
     */
    function functionDelegateCall(address target, bytes memory data) internal returns (bytes memory) {
        return functionDelegateCall(target, data, "Address: low-level delegate call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a delegate call.
     *
     * _Available since v3.4._
     */
    function functionDelegateCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal returns (bytes memory) {
        (bool success, bytes memory returndata) = target.delegatecall(data);
        return verifyCallResultFromTarget(target, success, returndata, errorMessage);
    }

    /**
     * @dev Tool to verify that a low level call to smart-contract was successful, and revert (either by bubbling
     * the revert reason or using the provided one) in case of unsuccessful call or if target was not a contract.
     *
     * _Available since v4.8._
     */
    function verifyCallResultFromTarget(
        address target,
        bool success,
        bytes memory returndata,
        string memory errorMessage
    ) internal view returns (bytes memory) {
        if (success) {
            if (returndata.length == 0) {
                // only check isContract if the call was successful and the return data is empty
                // otherwise we already know that it was a contract
                require(isContract(target), "Address: call to non-contract");
            }
            return returndata;
        } else {
            _revert(returndata, errorMessage);
        }
    }

    /**
     * @dev Tool to verify that a low level call was successful, and revert if it wasn't, either by bubbling the
     * revert reason or using the provided one.
     *
     * _Available since v4.3._
     */
    function verifyCallResult(
        bool success,
        bytes memory returndata,
        string memory errorMessage
    ) internal pure returns (bytes memory) {
        if (success) {
            return returndata;
        } else {
            _revert(returndata, errorMessage);
        }
    }

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

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/Context.sol)

pragma solidity ^0.8.0;
import "../proxy/utils/Initializable.sol";

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

    function __Context_init_unchained() internal onlyInitializing {
    }
    function _msgSender() internal view virtual returns (address) {
        return msg.sender;
    }

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

    /**
     * @dev This empty reserved space is put in place to allow future versions to add new
     * variables without shifting down storage in the inheritance chain.
     * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
     */
    uint256[50] private __gap;
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.5.0) (interfaces/draft-IERC1822.sol)

pragma solidity ^0.8.0;

/**
 * @dev ERC1822: Universal Upgradeable Proxy Standard (UUPS) documents a method for upgradeability through a simplified
 * proxy whose upgrades are fully controlled by the current implementation.
 */
interface IERC1822Proxiable {
    /**
     * @dev Returns the storage slot that the proxiable contract assumes is being used to store the implementation
     * address.
     *
     * IMPORTANT: A proxy pointing at a proxiable contract should not be considered proxiable itself, because this risks
     * bricking a proxy that upgrades to it, by delegating to itself until out of gas. Thus it is critical that this
     * function revert if invoked through a proxy.
     */
    function proxiableUUID() external view returns (bytes32);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (interfaces/IERC1967.sol)

pragma solidity ^0.8.0;

/**
 * @dev ERC-1967: Proxy Storage Slots. This interface contains the events defined in the ERC.
 *
 * _Available since v4.8.3._
 */
interface IERC1967 {
    /**
     * @dev Emitted when the implementation is upgraded.
     */
    event Upgraded(address indexed implementation);

    /**
     * @dev Emitted when the admin account has changed.
     */
    event AdminChanged(address previousAdmin, address newAdmin);

    /**
     * @dev Emitted when the beacon is changed.
     */
    event BeaconUpgraded(address indexed beacon);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (proxy/beacon/IBeacon.sol)

pragma solidity ^0.8.0;

/**
 * @dev This is the interface that {BeaconProxy} expects of its beacon.
 */
interface IBeacon {
    /**
     * @dev Must return an address that can be used as a delegate call target.
     *
     * {BeaconProxy} will check that this address is a contract.
     */
    function implementation() external view returns (address);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (proxy/ERC1967/ERC1967Upgrade.sol)

pragma solidity ^0.8.2;

import "../beacon/IBeacon.sol";
import "../../interfaces/IERC1967.sol";
import "../../interfaces/draft-IERC1822.sol";
import "../../utils/Address.sol";
import "../../utils/StorageSlot.sol";

/**
 * @dev This abstract contract provides getters and event emitting update functions for
 * https://eips.ethereum.org/EIPS/eip-1967[EIP1967] slots.
 *
 * _Available since v4.1._
 */
abstract contract ERC1967Upgrade is IERC1967 {
    // This is the keccak-256 hash of "eip1967.proxy.rollback" subtracted by 1
    bytes32 private constant _ROLLBACK_SLOT = 0x4910fdfa16fed3260ed0e7147f7cc6da11a60208b5b9406d12a635614ffd9143;

    /**
     * @dev Storage slot with the address of the current implementation.
     * This is the keccak-256 hash of "eip1967.proxy.implementation" subtracted by 1, and is
     * validated in the constructor.
     */
    bytes32 internal constant _IMPLEMENTATION_SLOT = 0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc;

    /**
     * @dev Returns the current implementation address.
     */
    function _getImplementation() internal view returns (address) {
        return StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value;
    }

    /**
     * @dev Stores a new address in the EIP1967 implementation slot.
     */
    function _setImplementation(address newImplementation) private {
        require(Address.isContract(newImplementation), "ERC1967: new implementation is not a contract");
        StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value = newImplementation;
    }

    /**
     * @dev Perform implementation upgrade
     *
     * Emits an {Upgraded} event.
     */
    function _upgradeTo(address newImplementation) internal {
        _setImplementation(newImplementation);
        emit Upgraded(newImplementation);
    }

    /**
     * @dev Perform implementation upgrade with additional setup call.
     *
     * Emits an {Upgraded} event.
     */
    function _upgradeToAndCall(address newImplementation, bytes memory data, bool forceCall) internal {
        _upgradeTo(newImplementation);
        if (data.length > 0 || forceCall) {
            Address.functionDelegateCall(newImplementation, data);
        }
    }

    /**
     * @dev Perform implementation upgrade with security checks for UUPS proxies, and additional setup call.
     *
     * Emits an {Upgraded} event.
     */
    function _upgradeToAndCallUUPS(address newImplementation, bytes memory data, bool forceCall) internal {
        // Upgrades from old implementations will perform a rollback test. This test requires the new
        // implementation to upgrade back to the old, non-ERC1822 compliant, implementation. Removing
        // this special case will break upgrade paths from old UUPS implementation to new ones.
        if (StorageSlot.getBooleanSlot(_ROLLBACK_SLOT).value) {
            _setImplementation(newImplementation);
        } else {
            try IERC1822Proxiable(newImplementation).proxiableUUID() returns (bytes32 slot) {
                require(slot == _IMPLEMENTATION_SLOT, "ERC1967Upgrade: unsupported proxiableUUID");
            } catch {
                revert("ERC1967Upgrade: new implementation is not UUPS");
            }
            _upgradeToAndCall(newImplementation, data, forceCall);
        }
    }

    /**
     * @dev Storage slot with the admin of the contract.
     * This is the keccak-256 hash of "eip1967.proxy.admin" subtracted by 1, and is
     * validated in the constructor.
     */
    bytes32 internal constant _ADMIN_SLOT = 0xb53127684a568b3173ae13b9f8a6016e243e63b6e8ee1178d6a717850b5d6103;

    /**
     * @dev Returns the current admin.
     */
    function _getAdmin() internal view returns (address) {
        return StorageSlot.getAddressSlot(_ADMIN_SLOT).value;
    }

    /**
     * @dev Stores a new address in the EIP1967 admin slot.
     */
    function _setAdmin(address newAdmin) private {
        require(newAdmin != address(0), "ERC1967: new admin is the zero address");
        StorageSlot.getAddressSlot(_ADMIN_SLOT).value = newAdmin;
    }

    /**
     * @dev Changes the admin of the proxy.
     *
     * Emits an {AdminChanged} event.
     */
    function _changeAdmin(address newAdmin) internal {
        emit AdminChanged(_getAdmin(), newAdmin);
        _setAdmin(newAdmin);
    }

    /**
     * @dev The storage slot of the UpgradeableBeacon contract which defines the implementation for this proxy.
     * This is bytes32(uint256(keccak256('eip1967.proxy.beacon')) - 1)) and is validated in the constructor.
     */
    bytes32 internal constant _BEACON_SLOT = 0xa3f0ad74e5423aebfd80d3ef4346578335a9a72aeaee59ff6cb3582b35133d50;

    /**
     * @dev Returns the current beacon.
     */
    function _getBeacon() internal view returns (address) {
        return StorageSlot.getAddressSlot(_BEACON_SLOT).value;
    }

    /**
     * @dev Stores a new beacon in the EIP1967 beacon slot.
     */
    function _setBeacon(address newBeacon) private {
        require(Address.isContract(newBeacon), "ERC1967: new beacon is not a contract");
        require(
            Address.isContract(IBeacon(newBeacon).implementation()),
            "ERC1967: beacon implementation is not a contract"
        );
        StorageSlot.getAddressSlot(_BEACON_SLOT).value = newBeacon;
    }

    /**
     * @dev Perform beacon upgrade with additional setup call. Note: This upgrades the address of the beacon, it does
     * not upgrade the implementation contained in the beacon (see {UpgradeableBeacon-_setImplementation} for that).
     *
     * Emits a {BeaconUpgraded} event.
     */
    function _upgradeBeaconToAndCall(address newBeacon, bytes memory data, bool forceCall) internal {
        _setBeacon(newBeacon);
        emit BeaconUpgraded(newBeacon);
        if (data.length > 0 || forceCall) {
            Address.functionDelegateCall(IBeacon(newBeacon).implementation(), data);
        }
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (proxy/utils/UUPSUpgradeable.sol)

pragma solidity ^0.8.0;

import "../../interfaces/draft-IERC1822.sol";
import "../ERC1967/ERC1967Upgrade.sol";

/**
 * @dev An upgradeability mechanism designed for UUPS proxies. The functions included here can perform an upgrade of an
 * {ERC1967Proxy}, when this contract is set as the implementation behind such a proxy.
 *
 * A security mechanism ensures that an upgrade does not turn off upgradeability accidentally, although this risk is
 * reinstated if the upgrade retains upgradeability but removes the security mechanism, e.g. by replacing
 * `UUPSUpgradeable` with a custom implementation of upgrades.
 *
 * The {_authorizeUpgrade} function must be overridden to include access restriction to the upgrade mechanism.
 *
 * _Available since v4.1._
 */
abstract contract UUPSUpgradeable is IERC1822Proxiable, ERC1967Upgrade {
    /// @custom:oz-upgrades-unsafe-allow state-variable-immutable state-variable-assignment
    address private immutable __self = address(this);

    /**
     * @dev Check that the execution is being performed through a delegatecall call and that the execution context is
     * a proxy contract with an implementation (as defined in ERC1967) pointing to self. This should only be the case
     * for UUPS and transparent proxies that are using the current contract as their implementation. Execution of a
     * function through ERC1167 minimal proxies (clones) would not normally pass this test, but is not guaranteed to
     * fail.
     */
    modifier onlyProxy() {
        require(address(this) != __self, "Function must be called through delegatecall");
        require(_getImplementation() == __self, "Function must be called through active proxy");
        _;
    }

    /**
     * @dev Check that the execution is not being performed through a delegate call. This allows a function to be
     * callable on the implementing contract but not through proxies.
     */
    modifier notDelegated() {
        require(address(this) == __self, "UUPSUpgradeable: must not be called through delegatecall");
        _;
    }

    /**
     * @dev Implementation of the ERC1822 {proxiableUUID} function. This returns the storage slot used by the
     * implementation. It is used to validate the implementation's compatibility when performing an upgrade.
     *
     * IMPORTANT: A proxy pointing at a proxiable contract should not be considered proxiable itself, because this risks
     * bricking a proxy that upgrades to it, by delegating to itself until out of gas. Thus it is critical that this
     * function revert if invoked through a proxy. This is guaranteed by the `notDelegated` modifier.
     */
    function proxiableUUID() external view virtual override notDelegated returns (bytes32) {
        return _IMPLEMENTATION_SLOT;
    }

    /**
     * @dev Upgrade the implementation of the proxy to `newImplementation`.
     *
     * Calls {_authorizeUpgrade}.
     *
     * Emits an {Upgraded} event.
     *
     * @custom:oz-upgrades-unsafe-allow-reachable delegatecall
     */
    function upgradeTo(address newImplementation) public virtual onlyProxy {
        _authorizeUpgrade(newImplementation);
        _upgradeToAndCallUUPS(newImplementation, new bytes(0), false);
    }

    /**
     * @dev Upgrade the implementation of the proxy to `newImplementation`, and subsequently execute the function call
     * encoded in `data`.
     *
     * Calls {_authorizeUpgrade}.
     *
     * Emits an {Upgraded} event.
     *
     * @custom:oz-upgrades-unsafe-allow-reachable delegatecall
     */
    function upgradeToAndCall(address newImplementation, bytes memory data) public payable virtual onlyProxy {
        _authorizeUpgrade(newImplementation);
        _upgradeToAndCallUUPS(newImplementation, data, true);
    }

    /**
     * @dev Function that should revert when `msg.sender` is not authorized to upgrade the contract. Called by
     * {upgradeTo} and {upgradeToAndCall}.
     *
     * Normally, this function will use an xref:access.adoc[access control] modifier such as {Ownable-onlyOwner}.
     *
     * ```solidity
     * function _authorizeUpgrade(address) internal override onlyOwner {}
     * ```
     */
    function _authorizeUpgrade(address newImplementation) internal virtual;
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (utils/Address.sol)

pragma solidity ^0.8.1;

/**
 * @dev Collection of functions related to the address type
 */
library Address {
    /**
     * @dev Returns true if `account` is a contract.
     *
     * [IMPORTANT]
     * ====
     * It is unsafe to assume that an address for which this function returns
     * false is an externally-owned account (EOA) and not a contract.
     *
     * Among others, `isContract` will return false for the following
     * types of addresses:
     *
     *  - an externally-owned account
     *  - a contract in construction
     *  - an address where a contract will be created
     *  - an address where a contract lived, but was destroyed
     *
     * Furthermore, `isContract` will also return true if the target contract within
     * the same transaction is already scheduled for destruction by `SELFDESTRUCT`,
     * which only has an effect at the end of a transaction.
     * ====
     *
     * [IMPORTANT]
     * ====
     * You shouldn't rely on `isContract` to protect against flash loan attacks!
     *
     * Preventing calls from contracts is highly discouraged. It breaks composability, breaks support for smart wallets
     * like Gnosis Safe, and does not provide security since it can be circumvented by calling from a contract
     * constructor.
     * ====
     */
    function isContract(address account) internal view returns (bool) {
        // This method relies on extcodesize/address.code.length, which returns 0
        // for contracts in construction, since the code is only stored at the end
        // of the constructor execution.

        return account.code.length > 0;
    }

    /**
     * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
     * `recipient`, forwarding all available gas and reverting on errors.
     *
     * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
     * of certain opcodes, possibly making contracts go over the 2300 gas limit
     * imposed by `transfer`, making them unable to receive funds via
     * `transfer`. {sendValue} removes this limitation.
     *
     * https://consensys.net/diligence/blog/2019/09/stop-using-soliditys-transfer-now/[Learn more].
     *
     * IMPORTANT: because control is transferred to `recipient`, care must be
     * taken to not create reentrancy vulnerabilities. Consider using
     * {ReentrancyGuard} or the
     * https://solidity.readthedocs.io/en/v0.8.0/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
     */
    function sendValue(address payable recipient, uint256 amount) internal {
        require(address(this).balance >= amount, "Address: insufficient balance");

        (bool success, ) = recipient.call{value: amount}("");
        require(success, "Address: unable to send value, recipient may have reverted");
    }

    /**
     * @dev Performs a Solidity function call using a low level `call`. A
     * plain `call` is an unsafe replacement for a function call: use this
     * function instead.
     *
     * If `target` reverts with a revert reason, it is bubbled up by this
     * function (like regular Solidity function calls).
     *
     * Returns the raw returned data. To convert to the expected return value,
     * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
     *
     * Requirements:
     *
     * - `target` must be a contract.
     * - calling `target` with `data` must not revert.
     *
     * _Available since v3.1._
     */
    function functionCall(address target, bytes memory data) internal returns (bytes memory) {
        return functionCallWithValue(target, data, 0, "Address: low-level call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with
     * `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal returns (bytes memory) {
        return functionCallWithValue(target, data, 0, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but also transferring `value` wei to `target`.
     *
     * Requirements:
     *
     * - the calling contract must have an ETH balance of at least `value`.
     * - the called Solidity function must be `payable`.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(address target, bytes memory data, uint256 value) internal returns (bytes memory) {
        return functionCallWithValue(target, data, value, "Address: low-level call with value failed");
    }

    /**
     * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but
     * with `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(
        address target,
        bytes memory data,
        uint256 value,
        string memory errorMessage
    ) internal returns (bytes memory) {
        require(address(this).balance >= value, "Address: insufficient balance for call");
        (bool success, bytes memory returndata) = target.call{value: value}(data);
        return verifyCallResultFromTarget(target, success, returndata, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
        return functionStaticCall(target, data, "Address: low-level static call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal view returns (bytes memory) {
        (bool success, bytes memory returndata) = target.staticcall(data);
        return verifyCallResultFromTarget(target, success, returndata, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but performing a delegate call.
     *
     * _Available since v3.4._
     */
    function functionDelegateCall(address target, bytes memory data) internal returns (bytes memory) {
        return functionDelegateCall(target, data, "Address: low-level delegate call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a delegate call.
     *
     * _Available since v3.4._
     */
    function functionDelegateCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal returns (bytes memory) {
        (bool success, bytes memory returndata) = target.delegatecall(data);
        return verifyCallResultFromTarget(target, success, returndata, errorMessage);
    }

    /**
     * @dev Tool to verify that a low level call to smart-contract was successful, and revert (either by bubbling
     * the revert reason or using the provided one) in case of unsuccessful call or if target was not a contract.
     *
     * _Available since v4.8._
     */
    function verifyCallResultFromTarget(
        address target,
        bool success,
        bytes memory returndata,
        string memory errorMessage
    ) internal view returns (bytes memory) {
        if (success) {
            if (returndata.length == 0) {
                // only check isContract if the call was successful and the return data is empty
                // otherwise we already know that it was a contract
                require(isContract(target), "Address: call to non-contract");
            }
            return returndata;
        } else {
            _revert(returndata, errorMessage);
        }
    }

    /**
     * @dev Tool to verify that a low level call was successful, and revert if it wasn't, either by bubbling the
     * revert reason or using the provided one.
     *
     * _Available since v4.3._
     */
    function verifyCallResult(
        bool success,
        bytes memory returndata,
        string memory errorMessage
    ) internal pure returns (bytes memory) {
        if (success) {
            return returndata;
        } else {
            _revert(returndata, errorMessage);
        }
    }

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

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (utils/cryptography/ECDSA.sol)

pragma solidity ^0.8.0;

import "../Strings.sol";

/**
 * @dev Elliptic Curve Digital Signature Algorithm (ECDSA) operations.
 *
 * These functions can be used to verify that a message was signed by the holder
 * of the private keys of a given address.
 */
library ECDSA {
    enum RecoverError {
        NoError,
        InvalidSignature,
        InvalidSignatureLength,
        InvalidSignatureS,
        InvalidSignatureV // Deprecated in v4.8
    }

    function _throwError(RecoverError error) private pure {
        if (error == RecoverError.NoError) {
            return; // no error: do nothing
        } else if (error == RecoverError.InvalidSignature) {
            revert("ECDSA: invalid signature");
        } else if (error == RecoverError.InvalidSignatureLength) {
            revert("ECDSA: invalid signature length");
        } else if (error == RecoverError.InvalidSignatureS) {
            revert("ECDSA: invalid signature 's' value");
        }
    }

    /**
     * @dev Returns the address that signed a hashed message (`hash`) with
     * `signature` or error string. This address can then be used for verification purposes.
     *
     * The `ecrecover` EVM opcode allows for malleable (non-unique) signatures:
     * this function rejects them by requiring the `s` value to be in the lower
     * half order, and the `v` value to be either 27 or 28.
     *
     * IMPORTANT: `hash` _must_ be the result of a hash operation for the
     * verification to be secure: it is possible to craft signatures that
     * recover to arbitrary addresses for non-hashed data. A safe way to ensure
     * this is by receiving a hash of the original message (which may otherwise
     * be too long), and then calling {toEthSignedMessageHash} on it.
     *
     * Documentation for signature generation:
     * - with https://web3js.readthedocs.io/en/v1.3.4/web3-eth-accounts.html#sign[Web3.js]
     * - with https://docs.ethers.io/v5/api/signer/#Signer-signMessage[ethers]
     *
     * _Available since v4.3._
     */
    function tryRecover(bytes32 hash, bytes memory signature) internal pure returns (address, RecoverError) {
        if (signature.length == 65) {
            bytes32 r;
            bytes32 s;
            uint8 v;
            // ecrecover takes the signature parameters, and the only way to get them
            // currently is to use assembly.
            /// @solidity memory-safe-assembly
            assembly {
                r := mload(add(signature, 0x20))
                s := mload(add(signature, 0x40))
                v := byte(0, mload(add(signature, 0x60)))
            }
            return tryRecover(hash, v, r, s);
        } else {
            return (address(0), RecoverError.InvalidSignatureLength);
        }
    }

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

    /**
     * @dev Overload of {ECDSA-tryRecover} that receives the `r` and `vs` short-signature fields separately.
     *
     * See https://eips.ethereum.org/EIPS/eip-2098[EIP-2098 short signatures]
     *
     * _Available since v4.3._
     */
    function tryRecover(bytes32 hash, bytes32 r, bytes32 vs) internal pure returns (address, RecoverError) {
        bytes32 s = vs & bytes32(0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff);
        uint8 v = uint8((uint256(vs) >> 255) + 27);
        return tryRecover(hash, v, r, s);
    }

    /**
     * @dev Overload of {ECDSA-recover} that receives the `r and `vs` short-signature fields separately.
     *
     * _Available since v4.2._
     */
    function recover(bytes32 hash, bytes32 r, bytes32 vs) internal pure returns (address) {
        (address recovered, RecoverError error) = tryRecover(hash, r, vs);
        _throwError(error);
        return recovered;
    }

    /**
     * @dev Overload of {ECDSA-tryRecover} that receives the `v`,
     * `r` and `s` signature fields separately.
     *
     * _Available since v4.3._
     */
    function tryRecover(bytes32 hash, uint8 v, bytes32 r, bytes32 s) internal pure returns (address, RecoverError) {
        // EIP-2 still allows signature malleability for ecrecover(). Remove this possibility and make the signature
        // unique. Appendix F in the Ethereum Yellow paper (https://ethereum.github.io/yellowpaper/paper.pdf), defines
        // the valid range for s in (301): 0 < s < secp256k1n ÷ 2 + 1, and for v in (302): v ∈ {27, 28}. Most
        // signatures from current libraries generate a unique signature with an s-value in the lower half order.
        //
        // If your library generates malleable signatures, such as s-values in the upper range, calculate a new s-value
        // with 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141 - s1 and flip v from 27 to 28 or
        // vice versa. If your library also generates signatures with 0/1 for v instead 27/28, add 27 to v to accept
        // these malleable signatures as well.
        if (uint256(s) > 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF5D576E7357A4501DDFE92F46681B20A0) {
            return (address(0), RecoverError.InvalidSignatureS);
        }

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

        return (signer, RecoverError.NoError);
    }

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

    /**
     * @dev Returns an Ethereum Signed Message, created from a `hash`. This
     * produces hash corresponding to the one signed with the
     * https://eth.wiki/json-rpc/API#eth_sign[`eth_sign`]
     * JSON-RPC method as part of EIP-191.
     *
     * See {recover}.
     */
    function toEthSignedMessageHash(bytes32 hash) internal pure returns (bytes32 message) {
        // 32 is the length in bytes of hash,
        // enforced by the type signature above
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x00, "\x19Ethereum Signed Message:\n32")
            mstore(0x1c, hash)
            message := keccak256(0x00, 0x3c)
        }
    }

    /**
     * @dev Returns an Ethereum Signed Message, created from `s`. This
     * produces hash corresponding to the one signed with the
     * https://eth.wiki/json-rpc/API#eth_sign[`eth_sign`]
     * JSON-RPC method as part of EIP-191.
     *
     * See {recover}.
     */
    function toEthSignedMessageHash(bytes memory s) internal pure returns (bytes32) {
        return keccak256(abi.encodePacked("\x19Ethereum Signed Message:\n", Strings.toString(s.length), s));
    }

    /**
     * @dev Returns an Ethereum Signed Typed Data, created from a
     * `domainSeparator` and a `structHash`. This produces hash corresponding
     * to the one signed with the
     * https://eips.ethereum.org/EIPS/eip-712[`eth_signTypedData`]
     * JSON-RPC method as part of EIP-712.
     *
     * See {recover}.
     */
    function toTypedDataHash(bytes32 domainSeparator, bytes32 structHash) internal pure returns (bytes32 data) {
        /// @solidity memory-safe-assembly
        assembly {
            let ptr := mload(0x40)
            mstore(ptr, "\x19\x01")
            mstore(add(ptr, 0x02), domainSeparator)
            mstore(add(ptr, 0x22), structHash)
            data := keccak256(ptr, 0x42)
        }
    }

    /**
     * @dev Returns an Ethereum Signed Data with intended validator, created from a
     * `validator` and `data` according to the version 0 of EIP-191.
     *
     * See {recover}.
     */
    function toDataWithIntendedValidatorHash(address validator, bytes memory data) internal pure returns (bytes32) {
        return keccak256(abi.encodePacked("\x19\x00", validator, data));
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (utils/math/Math.sol)

pragma solidity ^0.8.0;

/**
 * @dev Standard math utilities missing in the Solidity language.
 */
library Math {
    enum Rounding {
        Down, // Toward negative infinity
        Up, // Toward infinity
        Zero // Toward zero
    }

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

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

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

    /**
     * @dev Returns the ceiling of the division of two numbers.
     *
     * This differs from standard division with `/` in that it rounds up instead
     * of rounding down.
     */
    function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) {
        // (a + b - 1) / b can overflow on addition, so we distribute.
        return a == 0 ? 0 : (a - 1) / b + 1;
    }

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

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

            // Make sure the result is less than 2^256. Also prevents denominator == 0.
            require(denominator > prod1, "Math: mulDiv overflow");

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

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

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

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

            // Does not overflow because the denominator cannot be zero at this stage in the function.
            uint256 twos = denominator & (~denominator + 1);
            assembly {
                // Divide denominator by twos.
                denominator := div(denominator, twos)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (utils/math/SignedMath.sol)

pragma solidity ^0.8.0;

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

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

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

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

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (utils/StorageSlot.sol)
// This file was procedurally generated from scripts/generate/templates/StorageSlot.js.

pragma solidity ^0.8.0;

/**
 * @dev Library for reading and writing primitive types to specific storage slots.
 *
 * Storage slots are often used to avoid storage conflict when dealing with upgradeable contracts.
 * This library helps with reading and writing to such slots without the need for inline assembly.
 *
 * The functions in this library return Slot structs that contain a `value` member that can be used to read or write.
 *
 * Example usage to set ERC1967 implementation slot:
 * ```solidity
 * contract ERC1967 {
 *     bytes32 internal constant _IMPLEMENTATION_SLOT = 0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc;
 *
 *     function _getImplementation() internal view returns (address) {
 *         return StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value;
 *     }
 *
 *     function _setImplementation(address newImplementation) internal {
 *         require(Address.isContract(newImplementation), "ERC1967: new implementation is not a contract");
 *         StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value = newImplementation;
 *     }
 * }
 * ```
 *
 * _Available since v4.1 for `address`, `bool`, `bytes32`, `uint256`._
 * _Available since v4.9 for `string`, `bytes`._
 */
library StorageSlot {
    struct AddressSlot {
        address value;
    }

    struct BooleanSlot {
        bool value;
    }

    struct Bytes32Slot {
        bytes32 value;
    }

    struct Uint256Slot {
        uint256 value;
    }

    struct StringSlot {
        string value;
    }

    struct BytesSlot {
        bytes value;
    }

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

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

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

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

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

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

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

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

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (utils/Strings.sol)

pragma solidity ^0.8.0;

import "./math/Math.sol";
import "./math/SignedMath.sol";

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

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

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

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

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

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

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

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (utils/structs/EnumerableSet.sol)
// This file was procedurally generated from scripts/generate/templates/EnumerableSet.js.

pragma solidity ^0.8.0;

/**
 * @dev Library for managing
 * https://en.wikipedia.org/wiki/Set_(abstract_data_type)[sets] of primitive
 * types.
 *
 * Sets have the following properties:
 *
 * - Elements are added, removed, and checked for existence in constant time
 * (O(1)).
 * - Elements are enumerated in O(n). No guarantees are made on the ordering.
 *
 * ```solidity
 * contract Example {
 *     // Add the library methods
 *     using EnumerableSet for EnumerableSet.AddressSet;
 *
 *     // Declare a set state variable
 *     EnumerableSet.AddressSet private mySet;
 * }
 * ```
 *
 * As of v3.3.0, sets of type `bytes32` (`Bytes32Set`), `address` (`AddressSet`)
 * and `uint256` (`UintSet`) are supported.
 *
 * [WARNING]
 * ====
 * Trying to delete such a structure from storage will likely result in data corruption, rendering the structure
 * unusable.
 * See https://github.com/ethereum/solidity/pull/11843[ethereum/solidity#11843] for more info.
 *
 * In order to clean an EnumerableSet, you can either remove all elements one by one or create a fresh instance using an
 * array of EnumerableSet.
 * ====
 */
library EnumerableSet {
    // To implement this library for multiple types with as little code
    // repetition as possible, we write it in terms of a generic Set type with
    // bytes32 values.
    // The Set implementation uses private functions, and user-facing
    // implementations (such as AddressSet) are just wrappers around the
    // underlying Set.
    // This means that we can only create new EnumerableSets for types that fit
    // in bytes32.

    struct Set {
        // Storage of set values
        bytes32[] _values;
        // Position of the value in the `values` array, plus 1 because index 0
        // means a value is not in the set.
        mapping(bytes32 => uint256) _indexes;
    }

    /**
     * @dev Add a value to a set. O(1).
     *
     * Returns true if the value was added to the set, that is if it was not
     * already present.
     */
    function _add(Set storage set, bytes32 value) private returns (bool) {
        if (!_contains(set, value)) {
            set._values.push(value);
            // The value is stored at length-1, but we add 1 to all indexes
            // and use 0 as a sentinel value
            set._indexes[value] = set._values.length;
            return true;
        } else {
            return false;
        }
    }

    /**
     * @dev Removes a value from a set. O(1).
     *
     * Returns true if the value was removed from the set, that is if it was
     * present.
     */
    function _remove(Set storage set, bytes32 value) private returns (bool) {
        // We read and store the value's index to prevent multiple reads from the same storage slot
        uint256 valueIndex = set._indexes[value];

        if (valueIndex != 0) {
            // Equivalent to contains(set, value)
            // To delete an element from the _values array in O(1), we swap the element to delete with the last one in
            // the array, and then remove the last element (sometimes called as 'swap and pop').
            // This modifies the order of the array, as noted in {at}.

            uint256 toDeleteIndex = valueIndex - 1;
            uint256 lastIndex = set._values.length - 1;

            if (lastIndex != toDeleteIndex) {
                bytes32 lastValue = set._values[lastIndex];

                // Move the last value to the index where the value to delete is
                set._values[toDeleteIndex] = lastValue;
                // Update the index for the moved value
                set._indexes[lastValue] = valueIndex; // Replace lastValue's index to valueIndex
            }

            // Delete the slot where the moved value was stored
            set._values.pop();

            // Delete the index for the deleted slot
            delete set._indexes[value];

            return true;
        } else {
            return false;
        }
    }

    /**
     * @dev Returns true if the value is in the set. O(1).
     */
    function _contains(Set storage set, bytes32 value) private view returns (bool) {
        return set._indexes[value] != 0;
    }

    /**
     * @dev Returns the number of values on the set. O(1).
     */
    function _length(Set storage set) private view returns (uint256) {
        return set._values.length;
    }

    /**
     * @dev Returns the value stored at position `index` in the set. O(1).
     *
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
    function _at(Set storage set, uint256 index) private view returns (bytes32) {
        return set._values[index];
    }

    /**
     * @dev Return the entire set in an array
     *
     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed
     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that
     * this function has an unbounded cost, and using it as part of a state-changing function may render the function
     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.
     */
    function _values(Set storage set) private view returns (bytes32[] memory) {
        return set._values;
    }

    // Bytes32Set

    struct Bytes32Set {
        Set _inner;
    }

    /**
     * @dev Add a value to a set. O(1).
     *
     * Returns true if the value was added to the set, that is if it was not
     * already present.
     */
    function add(Bytes32Set storage set, bytes32 value) internal returns (bool) {
        return _add(set._inner, value);
    }

    /**
     * @dev Removes a value from a set. O(1).
     *
     * Returns true if the value was removed from the set, that is if it was
     * present.
     */
    function remove(Bytes32Set storage set, bytes32 value) internal returns (bool) {
        return _remove(set._inner, value);
    }

    /**
     * @dev Returns true if the value is in the set. O(1).
     */
    function contains(Bytes32Set storage set, bytes32 value) internal view returns (bool) {
        return _contains(set._inner, value);
    }

    /**
     * @dev Returns the number of values in the set. O(1).
     */
    function length(Bytes32Set storage set) internal view returns (uint256) {
        return _length(set._inner);
    }

    /**
     * @dev Returns the value stored at position `index` in the set. O(1).
     *
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
    function at(Bytes32Set storage set, uint256 index) internal view returns (bytes32) {
        return _at(set._inner, index);
    }

    /**
     * @dev Return the entire set in an array
     *
     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed
     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that
     * this function has an unbounded cost, and using it as part of a state-changing function may render the function
     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.
     */
    function values(Bytes32Set storage set) internal view returns (bytes32[] memory) {
        bytes32[] memory store = _values(set._inner);
        bytes32[] memory result;

        /// @solidity memory-safe-assembly
        assembly {
            result := store
        }

        return result;
    }

    // AddressSet

    struct AddressSet {
        Set _inner;
    }

    /**
     * @dev Add a value to a set. O(1).
     *
     * Returns true if the value was added to the set, that is if it was not
     * already present.
     */
    function add(AddressSet storage set, address value) internal returns (bool) {
        return _add(set._inner, bytes32(uint256(uint160(value))));
    }

    /**
     * @dev Removes a value from a set. O(1).
     *
     * Returns true if the value was removed from the set, that is if it was
     * present.
     */
    function remove(AddressSet storage set, address value) internal returns (bool) {
        return _remove(set._inner, bytes32(uint256(uint160(value))));
    }

    /**
     * @dev Returns true if the value is in the set. O(1).
     */
    function contains(AddressSet storage set, address value) internal view returns (bool) {
        return _contains(set._inner, bytes32(uint256(uint160(value))));
    }

    /**
     * @dev Returns the number of values in the set. O(1).
     */
    function length(AddressSet storage set) internal view returns (uint256) {
        return _length(set._inner);
    }

    /**
     * @dev Returns the value stored at position `index` in the set. O(1).
     *
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
    function at(AddressSet storage set, uint256 index) internal view returns (address) {
        return address(uint160(uint256(_at(set._inner, index))));
    }

    /**
     * @dev Return the entire set in an array
     *
     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed
     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that
     * this function has an unbounded cost, and using it as part of a state-changing function may render the function
     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.
     */
    function values(AddressSet storage set) internal view returns (address[] memory) {
        bytes32[] memory store = _values(set._inner);
        address[] memory result;

        /// @solidity memory-safe-assembly
        assembly {
            result := store
        }

        return result;
    }

    // UintSet

    struct UintSet {
        Set _inner;
    }

    /**
     * @dev Add a value to a set. O(1).
     *
     * Returns true if the value was added to the set, that is if it was not
     * already present.
     */
    function add(UintSet storage set, uint256 value) internal returns (bool) {
        return _add(set._inner, bytes32(value));
    }

    /**
     * @dev Removes a value from a set. O(1).
     *
     * Returns true if the value was removed from the set, that is if it was
     * present.
     */
    function remove(UintSet storage set, uint256 value) internal returns (bool) {
        return _remove(set._inner, bytes32(value));
    }

    /**
     * @dev Returns true if the value is in the set. O(1).
     */
    function contains(UintSet storage set, uint256 value) internal view returns (bool) {
        return _contains(set._inner, bytes32(value));
    }

    /**
     * @dev Returns the number of values in the set. O(1).
     */
    function length(UintSet storage set) internal view returns (uint256) {
        return _length(set._inner);
    }

    /**
     * @dev Returns the value stored at position `index` in the set. O(1).
     *
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
    function at(UintSet storage set, uint256 index) internal view returns (uint256) {
        return uint256(_at(set._inner, index));
    }

    /**
     * @dev Return the entire set in an array
     *
     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed
     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that
     * this function has an unbounded cost, and using it as part of a state-changing function may render the function
     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.
     */
    function values(UintSet storage set) internal view returns (uint256[] memory) {
        bytes32[] memory store = _values(set._inner);
        uint256[] memory result;

        /// @solidity memory-safe-assembly
        assembly {
            result := store
        }

        return result;
    }
}

// SPDX-License-Identifier: UNLICENSED
pragma solidity 0.8.10;

/**
 * @notice Interfaces with the details of editions on collections
 * @author highlight.xyz
 */
interface IEditionCollection {
    /**
     * @notice Edition details
     * @param name Edition name
     * @param size Edition size
     * @param supply Total number of tokens minted on edition
     * @param initialTokenId Token id of first token minted in edition
     */
    struct EditionDetails {
        string name;
        uint256 size;
        uint256 supply;
        uint256 initialTokenId;
    }

    /**
     * @notice Get the edition a token belongs to
     * @param tokenId The token id of the token
     */
    function getEditionId(uint256 tokenId) external view returns (uint256);

    /**
     * @notice Get an edition's details
     * @param editionId Edition id
     */
    function getEditionDetails(uint256 editionId) external view returns (EditionDetails memory);

    /**
     * @notice Get the details and uris of a number of editions
     * @param editionIds List of editions to get info for
     */
    function getEditionsDetailsAndUri(
        uint256[] calldata editionIds
    ) external view returns (EditionDetails[] memory, string[] memory uris);
}

// SPDX-License-Identifier: UNLICENSED
pragma solidity 0.8.10;

/**
 * @notice Get a Series based collection's supply metadata
 * @author highlight.xyz
 */
interface IERC721GeneralSupplyMetadata {
    /**
     * @notice Get a series based collection's supply, burned tokens notwithstanding
     */
    function supply() external view returns (uint256);

    /**
     * @notice Get a series based collection's total supply
     */
    function totalSupply() external view returns (uint256);

    /**
     * @notice Get a series based collection's supply cap
     */
    function limitSupply() external view returns (uint256);
}

// SPDX-License-Identifier: UNLICENSED
pragma solidity 0.8.10;

/**
 * @notice Interface to burn tokens on a Manifold 1155 Creator contract
 */
interface IManifold1155Burn {
    function burn(address account, uint256[] memory tokenIds, uint256[] memory amounts) external;
}

// SPDX-License-Identifier: UNLICENSED
pragma solidity 0.8.10;

import "./IMechanicData.sol";

/**
 * @notice Interface that mint mechanics are forced to adhere to,
 *         provided they support both collector's choice and sequential minting
 */
interface IMechanic is IMechanicData {
    /**
     * @notice Create a mechanic vector on the mechanic
     * @param mechanicVectorId Global mechanic vector ID
     * @param vectorData Mechanic vector data
     */
    function createVector(bytes32 mechanicVectorId, bytes calldata vectorData) external;

    /**
     * @notice Process a sequential mint
     * @param mechanicVectorId Global ID identifying mint vector, using this mechanic
     * @param recipient Mint recipient
     * @param numToMint Number of tokens to mint
     * @param minter Account that called mint on the MintManager
     * @param mechanicVectorMetadata Mechanic vector metadata
     * @param data Custom data that can be deserialized and processed according to implementation
     */
    function processNumMint(
        bytes32 mechanicVectorId,
        address recipient,
        uint32 numToMint,
        address minter,
        MechanicVectorMetadata calldata mechanicVectorMetadata,
        bytes calldata data
    ) external payable;

    /**
     * @notice Process a collector's choice mint
     * @param mechanicVectorId Global ID identifying mint vector, using this mechanic
     * @param recipient Mint recipient
     * @param tokenIds IDs of tokens to mint
     * @param minter Account that called mint on the MintManager
     * @param mechanicVectorMetadata Mechanic vector metadata
     * @param data Custom data that can be deserialized and processed according to implementation
     */
    function processChooseMint(
        bytes32 mechanicVectorId,
        address recipient,
        uint256[] calldata tokenIds,
        address minter,
        MechanicVectorMetadata calldata mechanicVectorMetadata,
        bytes calldata data
    ) external payable;
}

// SPDX-License-Identifier: UNLICENSED
pragma solidity 0.8.10;

/**
 * @notice Defines a mechanic's metadata on the MintManager
 */
interface IMechanicData {
    /**
     * @notice A mechanic's metadata
     * @param contractAddress Collection contract address
     * @param editionId Edition ID if the collection is edition based
     * @param mechanic Address of mint mechanic contract
     * @param isEditionBased True if collection is edition based
     * @param isChoose True if collection uses a collector's choice mint paradigm
     * @param paused True if mechanic vector is paused
     */
    struct MechanicVectorMetadata {
        address contractAddress;
        uint96 editionId;
        address mechanic;
        bool isEditionBased;
        bool isChoose;
        bool paused;
    }
}

// SPDX-License-Identifier: UNLICENSED
pragma solidity 0.8.10;

import "./IMechanicData.sol";

interface IMechanicMintManagerView is IMechanicData {
    /**
     * @notice Get a mechanic vector's metadata
     * @param mechanicVectorId Global mechanic vector ID
     */
    function mechanicVectorMetadata(bytes32 mechanicVectorId) external view returns (MechanicVectorMetadata memory);

    /**
     * @notice Returns whether an address is a valid platform executor
     * @param _executor Address to be checked
     */
    function isPlatformExecutor(address _executor) external view returns (bool);
}

// SPDX-License-Identifier: UNLICENSED
pragma solidity 0.8.10;

import { OwnableUpgradeable } from "@openzeppelin/contracts-upgradeable/access/OwnableUpgradeable.sol";
import "./interfaces/IMechanic.sol";
import "./interfaces/IMechanicMintManagerView.sol";

/**
 * @notice MintManager client, to be used by mechanic contracts
 * @author highlight.xyz
 */
abstract contract MechanicMintManagerClientUpgradeable is OwnableUpgradeable, IMechanic {
    /**
     * @notice Throw when caller is not MintManager
     */
    error NotMintManager();

    /**
     * @notice Throw when input mint manager is invalid
     */
    error InvalidMintManager();

    /**
     * @notice Mint manager
     */
    address public mintManager;

    /**
     * @notice Enforce caller to be mint manager
     */
    modifier onlyMintManager() {
        if (msg.sender != mintManager) {
            _revert(NotMintManager.selector);
        }
        _;
    }

    /**
     * @notice Update the mint manager
     * @param _mintManager New mint manager
     */
    function updateMintManager(address _mintManager) external onlyOwner {
        if (_mintManager == address(0)) {
            _revert(InvalidMintManager.selector);
        }

        mintManager = _mintManager;
    }

    /**
     * @notice Initialize mechanic mint manager client
     * @param _mintManager Mint manager address
     * @param platform Platform owning the contract
     */
    function __MechanicMintManagerClientUpgradeable_initialize(
        address _mintManager,
        address platform
    ) internal onlyInitializing {
        __Ownable_init();
        mintManager = _mintManager;
        _transferOwnership(platform);
    }

    /**
     * @notice Get a mechanic mint vector's metadata
     * @param mechanicVectorId Mechanic vector ID
     */
    function _getMechanicVectorMetadata(
        bytes32 mechanicVectorId
    ) internal view returns (MechanicVectorMetadata memory) {
        return IMechanicMintManagerView(mintManager).mechanicVectorMetadata(mechanicVectorId);
    }

    function _isPlatformExecutor(address _executor) internal view returns (bool) {
        return IMechanicMintManagerView(mintManager).isPlatformExecutor(_executor);
    }

    /**
     * @dev For more efficient reverts.
     */
    function _revert(bytes4 errorSelector) internal pure {
        assembly {
            mstore(0x00, errorSelector)
            revert(0x00, 0x04)
        }
    }
}

// SPDX-License-Identifier: UNLICENSED
pragma solidity 0.8.10;

import "./MechanicMintManagerClientUpgradeable.sol";
import "../../erc721/interfaces/IEditionCollection.sol";
import "../../erc721/interfaces/IERC721GeneralSupplyMetadata.sol";
import "../../observability/IGengineObservability.sol";
import "./interfaces/IManifold1155Burn.sol";

import { EnumerableSet } from "@openzeppelin/contracts/utils/structs/EnumerableSet.sol";
import "@openzeppelin/contracts/proxy/utils/UUPSUpgradeable.sol";
import "@openzeppelin/contracts/utils/cryptography/ECDSA.sol";

/**
 * @notice Ranked auctions
 * @author highlight.xyz
 */
contract RankedAuctionMechanic is MechanicMintManagerClientUpgradeable, UUPSUpgradeable {
    using EnumerableSet for EnumerableSet.UintSet;
    using EnumerableSet for EnumerableSet.Bytes32Set;

    /**
     * @notice Throw when an action is unauthorized
     */
    error Unauthorized();

    /**
     * @notice Throw when signer of signature is invalid
     */
    error InvalidSigner();

    /**
     * @notice Throw when it is invalid to mint on a vector
     */
    error InvalidMint();

    /**
     * @notice Throw when it is invalid to mint a number of tokens
     */
    error InvalidMintAmount();

    /**
     * @notice Throw when it is invalid to bid
     */
    error InvalidBid();

    /**
     * @notice Throw when a vector is already created with a mechanic vector ID
     */
    error VectorAlreadyCreated();

    /**
     * @notice Throw when the vector update is invalid
     */
    error InvalidUpdate();

    /**
     * @notice Throw when code gets into impossible state
     */
    error ImpossibleState();

    /**
     * @notice Throw when an internal transfer of ether fails
     */
    error EtherSendFailed();

    /**
     * @notice Throw when a claim is invalid
     */
    error InvalidClaim();

    /**
     * @notice Throw when a claim signature is invalid
     */
    error InvalidSignature();

    /**
     * @notice Errors to throw when adding / removing bids from user bid ids
     */
    error BidAlreadyAdded();
    error BidAlreadyReclaimed();

    /**
     * @notice On-chain mint vector (stored data)
     * @param startTimestamp When minting opens on vector
     * @param endTimestamp When minting ends on vector
     * @param paymentRecipient Payment recipient
     * @param maxUserClaimableViaVector Max number of tokens that can be minted by user via vector
     * @param maxTotalClaimableViaVector Max number of tokens that can be minted via vector
     * @param latestBidId Total number of bids (valid or invalid, deleted or not)
     * @param currency Currency used for payment. Native gas token, if zero address
     * @param bidFundsClaimed Bid funds claimed
     * @param reserveBid Reserve bid
     * @param maxEndTimestamp Maximium time the auction can go till (given extensions)
     * @param actionId Action ID (create / update bid)
     */
    struct Vector {
        uint48 startTimestamp;
        uint48 endTimestamp;
        address payable paymentRecipient;
        uint32 maxUserClaimableViaVector;
        uint32 maxTotalClaimableViaVector;
        uint32 latestBidId;
        address currency;
        bool bidFundsClaimed;
        uint96 reserveBid;
        uint48 maxEndTimestamp;
        uint96 actionId;
    }

    /**
     * @notice Bid
     * @dev Only handles bids below ~10B ether
     * @param bidAmount Amount of bid
     * @param bidder Bidder
     */
    struct Bid {
        uint96 bidAmount;
        address bidder;
    }

    /**
     * @notice User bids' metadata
     * @param numClaimed Number of valid bids redeemed for a token (after mint ends)
     * @param numBids Number of bids by user
     */
    struct UserBidsMetadata {
        uint32 numClaimed;
        uint32 numBids;
    }

    /**
     * @notice Config used to control updating of fields in Vector
     */
    struct VectorUpdateConfig {
        bool updateStartTimestamp;
        bool updateEndTimestamp;
        bool updateMaxEndTimestamp;
        bool updateMaxUserClaimableViaVector;
        bool updateMaxTotalClaimableViaVector;
        bool updatePaymentRecipient;
        bool updateCurrency;
        bool updateReserveBid;
    }

    /**
     * @notice Used to claim funds from an invalid bid, mint tokens + claim rebate if eligible, claim auction earnings
     */
    struct RankedAuctionsClaim {
        bytes32 mechanicVectorId;
        uint256 rebateAmount;
        address claimer;
        uint32 claimerNumValidBids;
        uint48 claimExpiryTimestamp;
        uint256 cumulativeBidAmount;
        uint32 bidId;
        uint8 claimType;
    }

    /**
     * @notice Constants that help with EIP-712, signature based minting
     */
    bytes32 private constant _DOMAIN_TYPEHASH =
        keccak256("EIP712Domain(string name,string version,uint256 chainId,address verifyingContract,bytes32 salt)");

    /* solhint-disable max-line-length */
    bytes32 private constant _CLAIM_TYPEHASH =
        keccak256(
            "RankedAuctionsClaim(bytes32 mechanicVectorId,uint256 rebateAmount,address claimer,uint32 claimerNumValidBids,uint48 claimExpiryTimestamp,uint256 cumulativeBidAmount,uint32 bidId,uint8 claimType)"
        );
    /* solhint-enable max-line-length */

    /**
     * @notice Stores seed based vector, indexed by global mechanic vector id
     */
    mapping(bytes32 => Vector) private vector;

    /**
     * @notice Stores vector's current validity hash
     */
    mapping(bytes32 => bytes32) private vectorValidityHash;

    /**
     * @notice System-wide vector ids to bids by their ids
     */
    mapping(bytes32 => mapping(uint32 => Bid)) public bids;

    /**
     * @notice System-wide vector ids to user's bids metadata
     */
    mapping(bytes32 => mapping(address => UserBidsMetadata)) private _userBidsMetadata;

    /**
     * @notice System-wide vector ids to user's bid ids
     */
    mapping(bytes32 => mapping(address => EnumerableSet.UintSet)) private _userBidIds;

    /**
     * @notice System-wide used claims
     */
    mapping(bytes32 => EnumerableSet.Bytes32Set) private _usedClaims;

    /**
     * @notice Emitted when a mint vector is created
     */
    event RankedAuctionCreated(bytes32 indexed mechanicVectorId);

    /**
     * @notice Emitted when a mint vector is updated
     */
    event RankedAuctionUpdated(bytes32 indexed mechanicVectorId);

    /**
     * @notice Emitted when a bid is created or updated
     */
    event BidCreatedOrUpdated(
        bytes32 indexed mechanicVectorId,
        bytes32 indexed newValidityHash,
        uint96 indexed actionId,
        uint32 bidId,
        address bidder,
        uint96 bidAmount,
        address currency,
        bool created
    );

    /**
     * @notice Emitted when bid funds are reclaimed
     */
    event BidReclaimed(bytes32 indexed mechanicVectorId, uint32 indexed bidId, uint96 amount, address currency);

    /**
     * @notice Emitted when bid funds are claimed
     */
    event AuctionEarningsClaimed(
        bytes32 indexed mechanicVectorId,
        uint256 earnings,
        address paymentRecipient,
        address currency
    );

    /**
     * @notice Emitted when auction is lengthened
     */
    event AuctionLengthened(bytes32 indexed mechanicVectorId, uint48 newEndTimestamp);

    /**
     * @notice Initialize mechanic contract
     * @param _mintManager Mint manager address
     * @param platform Platform owning the contract
     */
    function initialize(address _mintManager, address platform) external initializer {
        __MechanicMintManagerClientUpgradeable_initialize(_mintManager, platform);
    }

    /**
     * @notice Create a seed based vector
     * @param mechanicVectorId Global mechanic vector ID
     * @param vectorData Vector data, to be deserialized into seed based vector data
     */
    function createVector(bytes32 mechanicVectorId, bytes memory vectorData) external onlyMintManager {
        // precaution, although MintManager tightly controls creation and prevents double creation
        if (vector[mechanicVectorId].startTimestamp != 0) {
            _revert(VectorAlreadyCreated.selector);
        }
        (
            uint48 startTimestamp,
            uint48 endTimestamp,
            uint48 maxEndTimestamp,
            address paymentRecipient,
            uint32 maxUserClaimableViaVector,
            uint32 maxTotalClaimableViaVector,
            uint96 reserveBid,
            address currency
        ) = abi.decode(vectorData, (uint48, uint48, uint48, address, uint32, uint32, uint96, address));

        if (maxTotalClaimableViaVector == 0) {
            _revert(InvalidUpdate.selector);
        }

        uint48 st = startTimestamp == 0 ? uint48(block.timestamp) : startTimestamp;
        Vector memory _vector = Vector(
            st,
            endTimestamp == 0 ? uint48(st + 604800) : endTimestamp, // arbitrarily set for a week
            payable(paymentRecipient),
            maxUserClaimableViaVector,
            maxTotalClaimableViaVector,
            0,
            currency,
            false,
            reserveBid,
            maxEndTimestamp,
            0
        );

        vector[mechanicVectorId] = _vector;

        emit RankedAuctionCreated(mechanicVectorId);
    }

    /* solhint-disable code-complexity */
    /**
     * @notice Update a seed based vector
     * @param mechanicVectorId Global mechanic vector ID
     * @param newVector New vector fields
     * @param updateConfig Config denoting what fields on vector to update
     */
    function updateVector(
        bytes32 mechanicVectorId,
        Vector calldata newVector,
        VectorUpdateConfig calldata updateConfig
    ) external {
        MechanicVectorMetadata memory metadata = _getMechanicVectorMetadata(mechanicVectorId);
        if (
            OwnableUpgradeable(metadata.contractAddress).owner() != msg.sender && metadata.contractAddress != msg.sender
        ) {
            _revert(Unauthorized.selector);
        }

        // rather than updating entire vector, update per-field
        if (updateConfig.updateStartTimestamp) {
            vector[mechanicVectorId].startTimestamp = newVector.startTimestamp == 0
                ? uint48(block.timestamp)
                : newVector.startTimestamp;
        }
        if (updateConfig.updateEndTimestamp) {
            if (newVector.endTimestamp == 0) {
                _revert(InvalidUpdate.selector);
            }
            vector[mechanicVectorId].endTimestamp = newVector.endTimestamp;
        }
        if (updateConfig.updateMaxEndTimestamp) {
            if (newVector.maxEndTimestamp == 0) {
                _revert(InvalidUpdate.selector);
            }
            vector[mechanicVectorId].maxEndTimestamp = newVector.maxEndTimestamp;
        }
        if (updateConfig.updateMaxUserClaimableViaVector) {
            vector[mechanicVectorId].maxUserClaimableViaVector = newVector.maxUserClaimableViaVector;
        }
        if (updateConfig.updateMaxTotalClaimableViaVector) {
            if (
                newVector.maxTotalClaimableViaVector == 0 ||
                newVector.maxTotalClaimableViaVector < vector[mechanicVectorId].maxTotalClaimableViaVector
            ) {
                _revert(InvalidUpdate.selector);
            }
            vector[mechanicVectorId].maxTotalClaimableViaVector = newVector.maxTotalClaimableViaVector;
        }
        if (updateConfig.updateCurrency) {
            if (vector[mechanicVectorId].latestBidId > 0) {
                _revert(InvalidUpdate.selector);
            }
            vector[mechanicVectorId].currency = newVector.currency;
        }
        if (updateConfig.updatePaymentRecipient) {
            vector[mechanicVectorId].paymentRecipient = newVector.paymentRecipient;
        }
        if (updateConfig.updateReserveBid) {
            if (vector[mechanicVectorId].latestBidId > 0) {
                _revert(InvalidUpdate.selector);
            }
            vector[mechanicVectorId].reserveBid = newVector.reserveBid;
        }

        emit RankedAuctionUpdated(mechanicVectorId);
    }

    /**
     * @notice Create a new bid
     */
    function bid(bytes32 mechanicVectorId, uint96 bidAmount) external payable {
        Vector memory _vector = vector[mechanicVectorId];
        uint32 newUserNumBids = _userBidsMetadata[mechanicVectorId][msg.sender].numBids + 1;
        if (
            _vector.endTimestamp < uint48(block.timestamp) ||
            _vector.startTimestamp > uint48(block.timestamp) ||
            bidAmount < _vector.reserveBid ||
            bidAmount != msg.value ||
            (_vector.maxUserClaimableViaVector != 0 && newUserNumBids > uint256(_vector.maxUserClaimableViaVector))
        ) {
            _revert(InvalidBid.selector);
        }

        _vector.latestBidId += 1;
        _vector.actionId += 1;

        bids[mechanicVectorId][_vector.latestBidId] = Bid(bidAmount, msg.sender);
        if (!_userBidIds[mechanicVectorId][msg.sender].add(uint256(_vector.latestBidId))) {
            // impossible state
            _revert(BidAlreadyAdded.selector);
        }
        _userBidsMetadata[mechanicVectorId][msg.sender].numBids = newUserNumBids;
        vector[mechanicVectorId].latestBidId = _vector.latestBidId;
        vector[mechanicVectorId].actionId = _vector.actionId;

        if (_vector.endTimestamp - uint48(block.timestamp) <= 300) {
            _vector.endTimestamp = _vector.maxEndTimestamp != 0
                ? (
                    _vector.maxEndTimestamp > uint48(block.timestamp) + 300
                        ? uint48(block.timestamp) + 300
                        : _vector.maxEndTimestamp
                )
                : uint48(block.timestamp) + 300;
            vector[mechanicVectorId].endTimestamp = _vector.endTimestamp;
            emit AuctionLengthened(mechanicVectorId, _vector.endTimestamp);
        }

        bytes32 newValidityHash = _updateValidityHash(mechanicVectorId, _vector.latestBidId, bidAmount);

        emit BidCreatedOrUpdated(
            mechanicVectorId,
            newValidityHash,
            _vector.actionId,
            _vector.latestBidId,
            msg.sender,
            bidAmount,
            _vector.currency,
            true
        );
    }

    /**
     * @notice Update a bid
     */
    function updateBid(bytes32 mechanicVectorId, uint32 bidId, uint96 newBidAmount) external payable {
        Vector memory _vector = vector[mechanicVectorId];
        Bid memory _bid = bids[mechanicVectorId][bidId];
        if (
            newBidAmount <= _bid.bidAmount ||
            _bid.bidder == address(0) ||
            _vector.endTimestamp < uint48(block.timestamp) ||
            _vector.startTimestamp > uint48(block.timestamp) ||
            newBidAmount < _vector.reserveBid ||
            msg.value != newBidAmount - _bid.bidAmount
        ) {
            _revert(InvalidBid.selector);
        }
        if (_bid.bidder != msg.sender) {
            _revert(Unauthorized.selector);
        }

        _vector.actionId += 1;

        bids[mechanicVectorId][bidId].bidAmount = newBidAmount;
        vector[mechanicVectorId].actionId = _vector.actionId;

        if (_vector.endTimestamp - uint48(block.timestamp) <= 300) {
            uint48 newEndTimestamp = _vector.maxEndTimestamp != 0
                ? (
                    _vector.maxEndTimestamp > uint48(block.timestamp) + 300
                        ? uint48(block.timestamp) + 300
                        : _vector.maxEndTimestamp
                )
                : uint48(block.timestamp) + 300;
            vector[mechanicVectorId].endTimestamp = newEndTimestamp;
            emit AuctionLengthened(mechanicVectorId, newEndTimestamp);
        }

        bytes32 newValidityHash = _updateValidityHash(mechanicVectorId, bidId, newBidAmount);

        emit BidCreatedOrUpdated(
            mechanicVectorId,
            newValidityHash,
            _vector.actionId,
            bidId,
            msg.sender,
            newBidAmount,
            _vector.currency,
            false
        );
    }

    /**
     * @notice Claim back funds for a bid that is currently invalid (effectively deleting the bid)
     */
    function reclaimBid(RankedAuctionsClaim calldata claim, bytes calldata claimSignature) external {
        // validate signature
        _validateClaim(claim, msg.sender, 1, claimSignature);

        Bid memory _bid = bids[claim.mechanicVectorId][claim.bidId];
        if (_bid.bidder != claim.claimer) {
            _revert(Unauthorized.selector);
        }

        _sendEther(_bid.bidAmount, payable(_bid.bidder));

        emit BidReclaimed(claim.mechanicVectorId, claim.bidId, _bid.bidAmount, vector[claim.mechanicVectorId].currency);

        // remove bid
        _userBidsMetadata[claim.mechanicVectorId][claim.claimer].numBids -= 1;
        if (!_userBidIds[claim.mechanicVectorId][claim.claimer].remove(claim.bidId)) {
            _revert(BidAlreadyReclaimed.selector);
        }
        delete bids[claim.mechanicVectorId][claim.bidId];
    }

    /**
     * @notice Withdraw auction earnings to payment recipient
     */
    function withdrawAuctionEarnings(RankedAuctionsClaim calldata claim, bytes calldata claimSignature) external {
        _validateClaim(claim, msg.sender, 2, claimSignature);

        Vector memory _vector = vector[claim.mechanicVectorId];
        // currently, only native gas token supported
        if (
            uint48(block.timestamp) <= _vector.endTimestamp || _vector.currency != address(0) || _vector.bidFundsClaimed
        ) {
            _revert(InvalidClaim.selector);
        }

        // 5% to platform
        uint256 platformAmount = (claim.cumulativeBidAmount * 500) / 10000;
        _sendEther(platformAmount, payable(owner()));
        _sendEther(claim.cumulativeBidAmount - platformAmount, _vector.paymentRecipient);

        vector[claim.mechanicVectorId].bidFundsClaimed = true;

        emit AuctionEarningsClaimed(
            claim.mechanicVectorId,
            claim.cumulativeBidAmount,
            _vector.paymentRecipient,
            _vector.currency
        );
    }

    /**
     * @notice See {IMechanic-processNumMint}
     */
    function processNumMint(
        bytes32 mechanicVectorId,
        address recipient,
        uint32 numToMint,
        address minter,
        MechanicVectorMetadata calldata mechanicVectorMetadata,
        bytes calldata data
    ) external payable onlyMintManager {
        _processMint(mechanicVectorId, minter, numToMint, data);
    }

    /**
     * @notice See {IMechanic-processChooseMint}
     */
    function processChooseMint(
        bytes32 mechanicVectorId,
        address recipient,
        uint256[] calldata tokenIds,
        address minter,
        MechanicVectorMetadata calldata mechanicVectorMetadata,
        bytes calldata data
    ) external payable onlyMintManager {
        // currently we don't support "choose token to mint" functionality for seed based mints
        _revert(InvalidMint.selector);
    }

    /**
     * @notice State readers
     */
    function getRawVector(bytes32 mechanicVectorId) external view returns (Vector memory _vector) {
        _vector = vector[mechanicVectorId];
    }

    function getVectorState(
        bytes32 mechanicVectorId
    )
        external
        view
        returns (Vector memory _vector, bytes32 validityHash, uint256 collectionSupply, uint256 collectionSize)
    {
        _vector = vector[mechanicVectorId];
        validityHash = vectorValidityHash[mechanicVectorId];
        (collectionSupply, collectionSize) = _collectionSupplyAndSize(mechanicVectorId);
    }

    function getBids(bytes32 mechanicVectorId, uint32[] calldata bidIds) external view returns (Bid[] memory) {
        uint256 bidIdsLength = bidIds.length;
        Bid[] memory _bids = new Bid[](bidIdsLength);
        for (uint256 i = 0; i < bidIdsLength; i++) {
            _bids[i] = bids[mechanicVectorId][bidIds[i]];
        }
        return _bids;
    }

    function getUserBids(
        bytes32 mechanicVectorId,
        address user
    ) external view returns (Bid[] memory, uint256[] memory bidIds, uint32 numBids, uint32 numClaimed) {
        UserBidsMetadata memory metadata = _userBidsMetadata[mechanicVectorId][user];

        uint256[] memory _bidIds = _userBidIds[mechanicVectorId][user].values();
        uint256 bidIdsLength = _bidIds.length;
        Bid[] memory _bids = new Bid[](bidIdsLength);

        for (uint256 i = 0; i < bidIdsLength; i++) {
            _bids[i] = bids[mechanicVectorId][uint32(_bidIds[i])];
        }

        return (_bids, _bidIds, metadata.numBids, metadata.numClaimed);
    }

    /* solhint-disable no-empty-blocks */
    /**
     * @notice Limit upgrades of contract to SeedBasedMintMechanic owner
     * @param // New implementation address
     */
    function _authorizeUpgrade(address) internal override onlyOwner {}

    /**
     * @notice Process sequential mint logic
     * @param mechanicVectorId Mechanic vector ID
     * @param minter Minter
     * @param numToMint Number of tokens to mint
     * @param data Mechanic mint data (signature)
     */
    function _processMint(bytes32 mechanicVectorId, address minter, uint32 numToMint, bytes calldata data) private {
        (RankedAuctionsClaim memory _claim, bytes memory claimSignature) = _unwrapRankedAuctionClaim(
            mechanicVectorId,
            data
        );

        _validateClaim(_claim, minter, 3, claimSignature);

        if (vector[mechanicVectorId].endTimestamp >= uint48(block.timestamp)) {
            _revert(InvalidMint.selector);
        }
        uint32 numClaimed = _userBidsMetadata[mechanicVectorId][minter].numClaimed;
        if (numToMint + numClaimed > _claim.claimerNumValidBids) {
            _revert(InvalidMintAmount.selector);
        }
        _userBidsMetadata[mechanicVectorId][minter].numClaimed = numClaimed + numToMint;

        // handle rebate
        if (_claim.rebateAmount > 0) {
            _sendEther(_claim.rebateAmount, payable(_claim.claimer));
        }
    }

    /**
     * @notice Send ether to a recipient
     */
    function _sendEther(uint256 amount, address payable recipient) private {
        (bool sent, ) = recipient.call{ value: amount }("");
        if (!sent) {
            _revert(EtherSendFailed.selector);
        }
    }

    /**
     * @notice Update vector's validity hash
     */
    function _updateValidityHash(bytes32 mechanicVectorId, uint32 bidId, uint96 bidAmount) private returns (bytes32) {
        bytes32 newValidityHash = keccak256(
            abi.encodePacked(vectorValidityHash[mechanicVectorId], mechanicVectorId, bidId, bidAmount)
        );
        vectorValidityHash[mechanicVectorId] = newValidityHash;
        return newValidityHash;
    }

    /**
     * @notice Validate claim
     * @param claim Claim
     * @param expectedClaimer Expected claimer
     * @param expectedClaimType Expected claim type
     * @param claimSignature Claim signature
     */
    function _validateClaim(
        RankedAuctionsClaim memory claim,
        address expectedClaimer,
        uint8 expectedClaimType,
        bytes memory claimSignature
    ) private {
        if (claim.claimer != expectedClaimer) {
            _revert(Unauthorized.selector);
        }
        if (claim.claimType != expectedClaimType) {
            _revert(InvalidClaim.selector);
        }
        bytes32 claimId = keccak256(
            abi.encode(
                _CLAIM_TYPEHASH,
                claim.mechanicVectorId,
                claim.rebateAmount,
                claim.claimer,
                claim.claimerNumValidBids,
                claim.claimExpiryTimestamp,
                claim.cumulativeBidAmount,
                claim.bidId,
                claim.claimType
            )
        );
        bytes32 digest = keccak256(abi.encodePacked("\x19\x01", _getDomainSeperator(), claimId));

        address signer = ECDSA.recover(digest, claimSignature);
        if (
            signer == address(0) || !_isPlatformExecutor(signer) || uint48(block.timestamp) > claim.claimExpiryTimestamp
        ) {
            _revert(InvalidSignature.selector);
        }
        if (!_usedClaims[claim.mechanicVectorId].add(claimId)) {
            // claim already used
            _revert(InvalidClaim.selector);
        }
    }

    /**
     * @notice Validate mint claim
     * @param mechanicVectorId Mechanic vector id
     * @param data Mint data
     */
    function _unwrapRankedAuctionClaim(
        bytes32 mechanicVectorId,
        bytes calldata data
    ) private returns (RankedAuctionsClaim memory, bytes memory) {
        (
            uint256 rebateAmount,
            address claimer,
            uint32 claimerNumValidBids,
            uint48 claimExpiryTimestamp,
            uint256 cumulativeBidAmount,
            uint32 bidId,
            uint8 claimType,
            bytes memory claimSignature
        ) = abi.decode(data, (uint256, address, uint32, uint48, uint256, uint32, uint8, bytes));

        return (
            RankedAuctionsClaim(
                mechanicVectorId,
                rebateAmount,
                claimer,
                claimerNumValidBids,
                claimExpiryTimestamp,
                cumulativeBidAmount,
                bidId,
                claimType
            ),
            claimSignature
        );
    }

    /**
     * @notice Returns a collection's current supply
     * @param mechanicVectorId Mechanic vector ID
     */
    function _collectionSupplyAndSize(bytes32 mechanicVectorId) private view returns (uint256 supply, uint256 size) {
        MechanicVectorMetadata memory metadata = _getMechanicVectorMetadata(mechanicVectorId);
        if (metadata.contractAddress == address(0)) {
            revert("Vector doesn't exist");
        }
        if (metadata.isEditionBased) {
            IEditionCollection.EditionDetails memory edition = IEditionCollection(metadata.contractAddress)
                .getEditionDetails(metadata.editionId);
            supply = edition.supply;
            size = edition.size;
        } else {
            // supply holds a tighter constraint (no burns), some old contracts don't have it
            try IERC721GeneralSupplyMetadata(metadata.contractAddress).supply() returns (uint256 _supply) {
                supply = _supply;
            } catch {
                supply = IERC721GeneralSupplyMetadata(metadata.contractAddress).totalSupply();
            }
            size = IERC721GeneralSupplyMetadata(metadata.contractAddress).limitSupply();
        }
    }

    /**
     * @notice Return EIP712 domain seperator
     */
    function _getDomainSeperator() private view returns (bytes32) {
        return
            keccak256(
                abi.encode(
                    _DOMAIN_TYPEHASH,
                    keccak256("RankedAuctionMechanic"),
                    keccak256("1"),
                    block.chainid,
                    address(this),
                    0x960bb3ecd14c38754109e5fe3a3b72aa0434091106c0fea200392fd413d44da0 // ranked auction mechanic salt
                )
            );
    }
}

// SPDX-License-Identifier: UNLICENSED
pragma solidity 0.8.10;

/**
 * @title IGengineObservability
 * @author highlight.xyz
 * @notice Interface to interact with the Highlight Gengine observability singleton
 * @dev Singleton to coalesce select Highlight Gengine protocol events
 */
interface IGengineObservability {
    /**
     * @notice Emitted when contract metadata is set
     * @param contractAddress Initial contract that emitted event
     * @param name New name
     * @param symbol New symbol
     * @param contractURI New contract uri
     */
    event ContractMetadataSet(address indexed contractAddress, string name, string symbol, string contractURI);

    /**
     * @notice Emitted when limit supply is set
     * @param contractAddress Initial contract that emitted event
     * @param newLimitSupply Limit supply to set
     */
    event LimitSupplySet(address indexed contractAddress, uint256 indexed newLimitSupply);

    /**
     * @notice Emits when a series collection has its base uri set
     * @param contractAddress Contract with updated base uri
     * @param newBaseUri New base uri
     */
    event BaseUriSet(address indexed contractAddress, string newBaseUri);

    /**************************
      Deployment events
     **************************/

    /**
     * @notice Emitted when Generative Series contract is deployed
     * @param deployer Contract deployer
     * @param contractAddress Address of contract that was deployed
     */
    event GenerativeSeriesDeployed(address indexed deployer, address indexed contractAddress);

    /**
     * @notice Emitted when Series contract is deployed
     * @param deployer Contract deployer
     * @param contractAddress Address of contract that was deployed
     */
    event SeriesDeployed(address indexed deployer, address indexed contractAddress);

    /**************************
      ERC721 events
     **************************/

    /**
     * @notice Emitted on a mint where a number of tokens are minted
     * @param contractAddress Address of contract being minted on
     * @param numMinted Number of tokens minted
     */
    event TokenMint(address indexed contractAddress, address indexed to, uint256 indexed numMinted);

    /**
     * @notice Emitted whenever the metadata for the token is updated
     * @param contractAddress NFT contract token resides on
     * @param tokenId Token being updated
     */
    event TokenUpdated(address indexed contractAddress, uint256 indexed tokenId);

    /**
     * @notice Emitted when `tokenId` token is transferred from `from` to `to` on contractAddress
     * @param contractAddress NFT contract token resides on
     * @param from Token sender
     * @param to Token receiver
     * @param tokenId Token being sent
     */
    event Transfer(address indexed contractAddress, address indexed from, address to, uint256 indexed tokenId);

    /**
     * @notice Emitted for the seed based data on mint
     * @param sender contract emitting the event
     * @param contractAddress NFT contract token resides on
     * @param data custom mint data
     */
    event CustomMintData(address indexed sender, address indexed contractAddress, bytes data);

    /**
     * @notice Emitted to regenerate the generative art for a token
     * @param sender contract emitting the event
     * @param collection NFT contract token resides on
     * @param tokenId Token ID
     */
    event HighlightRegenerate(address indexed sender, address indexed collection, uint256 indexed tokenId);

    /**
     * @notice Emit ContractMetadataSet
     */
    function emitContractMetadataSet(
        string calldata name,
        string calldata symbol,
        string calldata contractURI
    ) external;

    /**
     * @notice Emit LimitSupplySet
     */
    function emitLimitSupplySet(uint256 newLimitSupply) external;

    /**
     * @notice Emit BaseUriSet
     */
    function emitBaseUriSet(string calldata newBaseUri) external;

    /**
     * @notice Emit GenerativeSeriesDeployed
     */
    function emitGenerativeSeriesDeployed(address contractAddress) external;

    /**
     * @notice Emit SeriesDeployed
     */
    function emitSeriesDeployed(address contractAddress) external;

    /**
     * @notice Emit Token Mint
     */
    function emitTokenMint(address to, uint256 numMinted) external;

    /**
     * @notice Emit Token Updated
     */
    function emitTokenUpdated(address contractAddress, uint256 tokenId) external;

    /**
     * @notice Emit Transfer
     */
    function emitTransfer(address from, address to, uint256 tokenId) external;

    /**
     * @notice Emit Custom Mint Data
     */
    function emitCustomMintData(address contractAddress, bytes calldata data) external;

    /**
     * @notice Emit HighlightRegenerate
     */
    function emitHighlightRegenerate(address collection, uint256 tokenId) external;
}

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