{"file_path":"src/AddressList.sol","creation_status":"success","source_code":"// SPDX-License-Identifier: UNLICENSED\npragma solidity 0.8.30;\n\nimport {AccessManaged} from \"@openzeppelin/contracts/access/manager/AccessManaged.sol\";\nimport {EnumerableSet} from \"@openzeppelin/contracts/utils/structs/EnumerableSet.sol\";\nimport {IAddressList} from \"./interfaces/IAddressList.sol\";\nimport {EInvalidAddress} from \"./errors/InvalidAddress.sol\";\n\n/**\n * @title AddressList\n * @notice Central address list management for the Apyx protocol\n * @dev Provides a single source of truth for blocked/allowed addresses across all Apyx contracts\n *\n * Features:\n * - Centralized address management\n * - Access controlled via AccessManager\n * - Enumerable for off-chain iteration\n * - Gas-efficient set operations\n */\ncontract AddressList is AccessManaged, IAddressList, EInvalidAddress {\n    using EnumerableSet for EnumerableSet.AddressSet;\n\n    /// @notice Set of addresses in the list\n    EnumerableSet.AddressSet private _addresses;\n\n    /**\n     * @notice Initializes the AddressList contract\n     * @param initialAuthority Address of the AccessManager contract\n     */\n    constructor(address initialAuthority) AccessManaged(initialAuthority) {\n        if (initialAuthority == address(0)) revert InvalidAddress(\"initialAuthority\");\n    }\n\n    // ========================================\n    // Address List Management\n    // ========================================\n\n    /**\n     * @notice Adds an address to the list\n     * @dev Only callable through AccessManager with appropriate role\n     * @param user Address to add\n     */\n    function add(address user) external override restricted {\n        if (user == address(0)) revert InvalidAddress(\"user\");\n\n        if (_addresses.add(user)) {\n            emit Added(user);\n        }\n    }\n\n    /**\n     * @notice Removes an address from the list\n     * @dev Only callable through AccessManager with appropriate role\n     * @param user Address to remove\n     */\n    function remove(address user) external override restricted {\n        if (_addresses.remove(user)) {\n            emit Removed(user);\n        }\n    }\n\n    /**\n     * @notice Checks if an address is in the list\n     * @param user Address to check\n     * @return True if address is in the list, false otherwise\n     */\n    function contains(address user) external view override returns (bool) {\n        return _addresses.contains(user);\n    }\n\n    /**\n     * @notice Returns the number of addresses in the list\n     * @return Number of addresses\n     */\n    function length() external view override returns (uint256) {\n        return _addresses.length();\n    }\n\n    /**\n     * @notice Returns the address at the given index\n     * @param index Index of the address to retrieve\n     * @return Address at the given index\n     */\n    function at(uint256 index) external view override returns (address) {\n        return _addresses.at(index);\n    }\n}\n","deployed_bytecode":"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","optimization_enabled":true,"verified_twin_address_hash":null,"is_verified":true,"compiler_settings":{"evmVersion":"prague","libraries":{},"metadata":{"appendCBOR":true,"bytecodeHash":"ipfs","useLiteralContent":false},"optimizer":{"enabled":true,"runs":200},"outputSelection":{"*":{"":["*"],"*":["*"]}},"remappings":["@openzeppelin/contracts-upgradeable/=dependencies/@openzeppelin-contracts-upgradeable-5.5.0/","@openzeppelin/contracts/=dependencies/@openzeppelin-contracts-5.5.0/","forge-std/=dependencies/forge-std-1.11.0/","@openzeppelin-contracts-5.5.0/=dependencies/@openzeppelin-contracts-5.5.0/","@openzeppelin-contracts-upgradeable-5.5.0/=dependencies/@openzeppelin-contracts-upgradeable-5.5.0/","forge-std-1.11.0/=dependencies/forge-std-1.11.0/src/"],"viaIR":true},"optimization_runs":200,"sourcify_repo_url":null,"decoded_constructor_args":[["0xe167330E2Eac88666de253e9607C6d9ae0cA2824",{"internalType":"address","name":"initialAuthority","type":"address"}]],"compiler_version":"v0.8.30+commit.73712a01","is_verified_via_verifier_alliance":false,"verified_at":"2026-04-21T13:34:44.222782Z","implementations":[],"proxy_type":null,"external_libraries":[],"creation_bytecode":"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SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.4.0) (access/manager/AccessManaged.sol)\n\npragma solidity ^0.8.20;\n\nimport {AuthorityUtils} from \"./AuthorityUtils.sol\";\nimport {IAccessManager} from \"./IAccessManager.sol\";\nimport {IAccessManaged} from \"./IAccessManaged.sol\";\nimport {Context} from \"../../utils/Context.sol\";\n\n/**\n * @dev This contract module makes available a {restricted} modifier. Functions decorated with this modifier will be\n * permissioned according to an \"authority\": a contract like {AccessManager} that follows the {IAuthority} interface,\n * implementing a policy that allows certain callers to access certain functions.\n *\n * IMPORTANT: The `restricted` modifier should never be used on `internal` functions, judiciously used in `public`\n * functions, and ideally only used in `external` functions. See {restricted}.\n */\nabstract contract AccessManaged is Context, IAccessManaged {\n    address private _authority;\n\n    bool private _consumingSchedule;\n\n    /**\n     * @dev Initializes the contract connected to an initial authority.\n     */\n    constructor(address initialAuthority) {\n        _setAuthority(initialAuthority);\n    }\n\n    /**\n     * @dev Restricts access to a function as defined by the connected Authority for this contract and the\n     * caller and selector of the function that entered the contract.\n     *\n     * [IMPORTANT]\n     * ====\n     * In general, this modifier should only be used on `external` functions. It is okay to use it on `public`\n     * functions that are used as external entry points and are not called internally. Unless you know what you're\n     * doing, it should never be used on `internal` functions. Failure to follow these rules can have critical security\n     * implications! This is because the permissions are determined by the function that entered the contract, i.e. the\n     * function at the bottom of the call stack, and not the function where the modifier is visible in the source code.\n     * ====\n     *\n     * [WARNING]\n     * ====\n     * Avoid adding this modifier to the https://docs.soliditylang.org/en/v0.8.20/contracts.html#receive-ether-function[`receive()`]\n     * function or the https://docs.soliditylang.org/en/v0.8.20/contracts.html#fallback-function[`fallback()`]. These\n     * functions are the only execution paths where a function selector cannot be unambiguously determined from the calldata\n     * since the selector defaults to `0x00000000` in the `receive()` function and similarly in the `fallback()` function\n     * if no calldata is provided. (See {_checkCanCall}).\n     *\n     * The `receive()` function will always panic whereas the `fallback()` may panic depending on the calldata length.\n     * ====\n     */\n    modifier restricted() {\n        _checkCanCall(_msgSender(), _msgData());\n        _;\n    }\n\n    /// @inheritdoc IAccessManaged\n    function authority() public view virtual returns (address) {\n        return _authority;\n    }\n\n    /// @inheritdoc IAccessManaged\n    function setAuthority(address newAuthority) public virtual {\n        address caller = _msgSender();\n        if (caller != authority()) {\n            revert AccessManagedUnauthorized(caller);\n        }\n        if (newAuthority.code.length == 0) {\n            revert AccessManagedInvalidAuthority(newAuthority);\n        }\n        _setAuthority(newAuthority);\n    }\n\n    /// @inheritdoc IAccessManaged\n    function isConsumingScheduledOp() public view returns (bytes4) {\n        return _consumingSchedule ? this.isConsumingScheduledOp.selector : bytes4(0);\n    }\n\n    /**\n     * @dev Transfers control to a new authority. Internal function with no access restriction. Allows bypassing the\n     * permissions set by the current authority.\n     */\n    function _setAuthority(address newAuthority) internal virtual {\n        _authority = newAuthority;\n        emit AuthorityUpdated(newAuthority);\n    }\n\n    /**\n     * @dev Reverts if the caller is not allowed to call the function identified by a selector. Panics if the calldata\n     * is less than 4 bytes long.\n     */\n    function _checkCanCall(address caller, bytes calldata data) internal virtual {\n        (bool immediate, uint32 delay) = AuthorityUtils.canCallWithDelay(\n            authority(),\n            caller,\n            address(this),\n            bytes4(data[0:4])\n        );\n        if (!immediate) {\n            if (delay > 0) {\n                _consumingSchedule = true;\n                IAccessManager(authority()).consumeScheduledOp(caller, data);\n                _consumingSchedule = false;\n            } else {\n                revert AccessManagedUnauthorized(caller);\n            }\n        }\n    }\n}\n"},{"file_path":"dependencies/@openzeppelin-contracts-5.5.0/access/manager/AuthorityUtils.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.3.0) (access/manager/AuthorityUtils.sol)\n\npragma solidity ^0.8.20;\n\nimport {IAuthority} from \"./IAuthority.sol\";\n\nlibrary AuthorityUtils {\n    /**\n     * @dev Since `AccessManager` implements an extended IAuthority interface, invoking `canCall` with backwards compatibility\n     * for the preexisting `IAuthority` interface requires special care to avoid reverting on insufficient return data.\n     * This helper function takes care of invoking `canCall` in a backwards compatible way without reverting.\n     */\n    function canCallWithDelay(\n        address authority,\n        address caller,\n        address target,\n        bytes4 selector\n    ) internal view returns (bool immediate, uint32 delay) {\n        bytes memory data = abi.encodeCall(IAuthority.canCall, (caller, target, selector));\n\n        assembly (\"memory-safe\") {\n            mstore(0x00, 0x00)\n            mstore(0x20, 0x00)\n\n            if staticcall(gas(), authority, add(data, 0x20), mload(data), 0x00, 0x40) {\n                immediate := mload(0x00)\n                delay := mload(0x20)\n\n                // If delay does not fit in a uint32, return 0 (no delay)\n                // equivalent to: if gt(delay, 0xFFFFFFFF) { delay := 0 }\n                delay := mul(delay, iszero(shr(32, delay)))\n            }\n        }\n    }\n}\n"},{"file_path":"dependencies/@openzeppelin-contracts-5.5.0/access/manager/IAccessManaged.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.4.0) (access/manager/IAccessManaged.sol)\n\npragma solidity >=0.8.4;\n\ninterface IAccessManaged {\n    /**\n     * @dev Authority that manages this contract was updated.\n     */\n    event AuthorityUpdated(address authority);\n\n    error AccessManagedUnauthorized(address caller);\n    error AccessManagedRequiredDelay(address caller, uint32 delay);\n    error AccessManagedInvalidAuthority(address authority);\n\n    /**\n     * @dev Returns the current authority.\n     */\n    function authority() external view returns (address);\n\n    /**\n     * @dev Transfers control to a new authority. The caller must be the current authority.\n     */\n    function setAuthority(address) external;\n\n    /**\n     * @dev Returns true only in the context of a delayed restricted call, at the moment that the scheduled operation is\n     * being consumed. Prevents denial of service for delayed restricted calls in the case that the contract performs\n     * attacker controlled calls.\n     */\n    function isConsumingScheduledOp() external view returns (bytes4);\n}\n"},{"file_path":"dependencies/@openzeppelin-contracts-5.5.0/access/manager/IAccessManager.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.5.0) (access/manager/IAccessManager.sol)\n\npragma solidity >=0.8.4;\n\ninterface IAccessManager {\n    /**\n     * @dev A delayed operation was scheduled.\n     */\n    event OperationScheduled(\n        bytes32 indexed operationId,\n        uint32 indexed nonce,\n        uint48 schedule,\n        address caller,\n        address target,\n        bytes data\n    );\n\n    /**\n     * @dev A scheduled operation was executed.\n     */\n    event OperationExecuted(bytes32 indexed operationId, uint32 indexed nonce);\n\n    /**\n     * @dev A scheduled operation was canceled.\n     */\n    event OperationCanceled(bytes32 indexed operationId, uint32 indexed nonce);\n\n    /**\n     * @dev Informational labelling for a roleId.\n     */\n    event RoleLabel(uint64 indexed roleId, string label);\n\n    /**\n     * @dev Emitted when `account` is granted `roleId`.\n     *\n     * NOTE: The meaning of the `since` argument depends on the `newMember` argument.\n     * If the role is granted to a new member, the `since` argument indicates when the account becomes a member of the role,\n     * otherwise it indicates the execution delay for this account and roleId is updated.\n     */\n    event RoleGranted(uint64 indexed roleId, address indexed account, uint32 delay, uint48 since, bool newMember);\n\n    /**\n     * @dev Emitted when `account` membership or `roleId` is revoked. Unlike granting, revoking is instantaneous.\n     */\n    event RoleRevoked(uint64 indexed roleId, address indexed account);\n\n    /**\n     * @dev Role acting as admin over a given `roleId` is updated.\n     */\n    event RoleAdminChanged(uint64 indexed roleId, uint64 indexed admin);\n\n    /**\n     * @dev Role acting as guardian over a given `roleId` is updated.\n     */\n    event RoleGuardianChanged(uint64 indexed roleId, uint64 indexed guardian);\n\n    /**\n     * @dev Grant delay for a given `roleId` will be updated to `delay` when `since` is reached.\n     */\n    event RoleGrantDelayChanged(uint64 indexed roleId, uint32 delay, uint48 since);\n\n    /**\n     * @dev Target mode is updated (true = closed, false = open).\n     */\n    event TargetClosed(address indexed target, bool closed);\n\n    /**\n     * @dev Role required to invoke `selector` on `target` is updated to `roleId`.\n     */\n    event TargetFunctionRoleUpdated(address indexed target, bytes4 selector, uint64 indexed roleId);\n\n    /**\n     * @dev Admin delay for a given `target` will be updated to `delay` when `since` is reached.\n     */\n    event TargetAdminDelayUpdated(address indexed target, uint32 delay, uint48 since);\n\n    error AccessManagerAlreadyScheduled(bytes32 operationId);\n    error AccessManagerNotScheduled(bytes32 operationId);\n    error AccessManagerNotReady(bytes32 operationId);\n    error AccessManagerExpired(bytes32 operationId);\n    error AccessManagerLockedRole(uint64 roleId);\n    error AccessManagerBadConfirmation();\n    error AccessManagerUnauthorizedAccount(address msgsender, uint64 roleId);\n    error AccessManagerUnauthorizedCall(address caller, address target, bytes4 selector);\n    error AccessManagerUnauthorizedConsume(address target);\n    error AccessManagerUnauthorizedCancel(address msgsender, address caller, address target, bytes4 selector);\n    error AccessManagerInvalidInitialAdmin(address initialAdmin);\n\n    /**\n     * @dev Check if an address (`caller`) is authorised to call a given function on a given contract directly (with\n     * no restriction). Additionally, it returns the delay needed to perform the call indirectly through the {schedule}\n     * & {execute} workflow.\n     *\n     * This function is usually called by the targeted contract to control immediate execution of restricted functions.\n     * Therefore we only return true if the call can be performed without any delay. If the call is subject to a\n     * previously set delay (not zero), then the function should return false and the caller should schedule the operation\n     * for future execution.\n     *\n     * If `allowed` is true, the delay can be disregarded and the operation can be immediately executed, otherwise\n     * the operation can be executed if and only if delay is greater than 0.\n     *\n     * NOTE: The IAuthority interface does not include the `uint32` delay. This is an extension of that interface that\n     * is backward compatible. Some contracts may thus ignore the second return argument. In that case they will fail\n     * to identify the indirect workflow, and will consider calls that require a delay to be forbidden.\n     *\n     * NOTE: This function does not report the permissions of the admin functions in the manager itself. These are defined by the\n     * {AccessManager} documentation.\n     */\n    function canCall(\n        address caller,\n        address target,\n        bytes4 selector\n    ) external view returns (bool allowed, uint32 delay);\n\n    /**\n     * @dev Expiration delay for scheduled proposals. Defaults to 1 week.\n     *\n     * IMPORTANT: Avoid overriding the expiration with 0. Otherwise every contract proposal will be expired immediately,\n     * disabling any scheduling usage.\n     */\n    function expiration() external view returns (uint32);\n\n    /**\n     * @dev Minimum setback for all delay updates, with the exception of execution delays. It\n     * can be increased without setback (and reset via {revokeRole} in the event of an\n     * accidental increase). Defaults to 5 days.\n     */\n    function minSetback() external view returns (uint32);\n\n    /**\n     * @dev Get whether the contract is closed disabling any access. Otherwise role permissions are applied.\n     *\n     * NOTE: When the manager itself is closed, admin functions are still accessible to avoid locking the contract.\n     */\n    function isTargetClosed(address target) external view returns (bool);\n\n    /**\n     * @dev Get the role required to call a function.\n     */\n    function getTargetFunctionRole(address target, bytes4 selector) external view returns (uint64);\n\n    /**\n     * @dev Get the admin delay for a target contract. Changes to contract configuration are subject to this delay.\n     */\n    function getTargetAdminDelay(address target) external view returns (uint32);\n\n    /**\n     * @dev Get the id of the role that acts as an admin for the given role.\n     *\n     * The admin permission is required to grant the role, revoke the role and update the execution delay to execute\n     * an operation that is restricted to this role.\n     */\n    function getRoleAdmin(uint64 roleId) external view returns (uint64);\n\n    /**\n     * @dev Get the role that acts as a guardian for a given role.\n     *\n     * The guardian permission allows canceling operations that have been scheduled under the role.\n     */\n    function getRoleGuardian(uint64 roleId) external view returns (uint64);\n\n    /**\n     * @dev Get the role current grant delay.\n     *\n     * Its value may change at any point without an event emitted following a call to {setGrantDelay}.\n     * Changes to this value, including effect timepoint are notified in advance by the {RoleGrantDelayChanged} event.\n     */\n    function getRoleGrantDelay(uint64 roleId) external view returns (uint32);\n\n    /**\n     * @dev Get the access details for a given account for a given role. These details include the timepoint at which\n     * membership becomes active, and the delay applied to all operations by this user that requires this permission\n     * level.\n     *\n     * Returns:\n     * [0] Timestamp at which the account membership becomes valid. 0 means role is not granted.\n     * [1] Current execution delay for the account.\n     * [2] Pending execution delay for the account.\n     * [3] Timestamp at which the pending execution delay will become active. 0 means no delay update is scheduled.\n     */\n    function getAccess(\n        uint64 roleId,\n        address account\n    ) external view returns (uint48 since, uint32 currentDelay, uint32 pendingDelay, uint48 effect);\n\n    /**\n     * @dev Check if a given account currently has the permission level corresponding to a given role. Note that this\n     * permission might be associated with an execution delay. {getAccess} can provide more details.\n     */\n    function hasRole(uint64 roleId, address account) external view returns (bool isMember, uint32 executionDelay);\n\n    /**\n     * @dev Give a label to a role, for improved role discoverability by UIs.\n     *\n     * Requirements:\n     *\n     * - the caller must be a global admin\n     *\n     * Emits a {RoleLabel} event.\n     */\n    function labelRole(uint64 roleId, string calldata label) external;\n\n    /**\n     * @dev Add `account` to `roleId`, or change its execution delay.\n     *\n     * This gives the account the authorization to call any function that is restricted to this role. An optional\n     * execution delay (in seconds) can be set. If that delay is non 0, the user is required to schedule any operation\n     * that is restricted to members of this role. The user will only be able to execute the operation after the delay has\n     * passed, before it has expired. During this period, admin and guardians can cancel the operation (see {cancel}).\n     *\n     * If the account has already been granted this role, the execution delay will be updated. This update is not\n     * immediate and follows the delay rules. For example, if a user currently has a delay of 3 hours, and this is\n     * called to reduce that delay to 1 hour, the new delay will take some time to take effect, enforcing that any\n     * operation executed in the 3 hours that follows this update was indeed scheduled before this update.\n     *\n     * Requirements:\n     *\n     * - the caller must be an admin for the role (see {getRoleAdmin})\n     * - granted role must not be the `PUBLIC_ROLE`\n     *\n     * Emits a {RoleGranted} event.\n     */\n    function grantRole(uint64 roleId, address account, uint32 executionDelay) external;\n\n    /**\n     * @dev Remove an account from a role, with immediate effect. If the account does not have the role, this call has\n     * no effect.\n     *\n     * Requirements:\n     *\n     * - the caller must be an admin for the role (see {getRoleAdmin})\n     * - revoked role must not be the `PUBLIC_ROLE`\n     *\n     * Emits a {RoleRevoked} event if the account had the role.\n     */\n    function revokeRole(uint64 roleId, address account) external;\n\n    /**\n     * @dev Renounce role permissions for the calling account with immediate effect. If the sender is not in\n     * the role this call has no effect.\n     *\n     * Requirements:\n     *\n     * - the caller must be `callerConfirmation`.\n     *\n     * Emits a {RoleRevoked} event if the account had the role.\n     */\n    function renounceRole(uint64 roleId, address callerConfirmation) external;\n\n    /**\n     * @dev Change admin role for a given role.\n     *\n     * Requirements:\n     *\n     * - the caller must be a global admin\n     *\n     * Emits a {RoleAdminChanged} event\n     */\n    function setRoleAdmin(uint64 roleId, uint64 admin) external;\n\n    /**\n     * @dev Change guardian role for a given role.\n     *\n     * Requirements:\n     *\n     * - the caller must be a global admin\n     *\n     * Emits a {RoleGuardianChanged} event\n     */\n    function setRoleGuardian(uint64 roleId, uint64 guardian) external;\n\n    /**\n     * @dev Update the delay for granting a `roleId`.\n     *\n     * Requirements:\n     *\n     * - the caller must be a global admin\n     *\n     * Emits a {RoleGrantDelayChanged} event.\n     */\n    function setGrantDelay(uint64 roleId, uint32 newDelay) external;\n\n    /**\n     * @dev Set the role required to call functions identified by the `selectors` in the `target` contract.\n     *\n     * Requirements:\n     *\n     * - the caller must be a global admin\n     *\n     * Emits a {TargetFunctionRoleUpdated} event per selector.\n     */\n    function setTargetFunctionRole(address target, bytes4[] calldata selectors, uint64 roleId) external;\n\n    /**\n     * @dev Set the delay for changing the configuration of a given target contract.\n     *\n     * Requirements:\n     *\n     * - the caller must be a global admin\n     *\n     * Emits a {TargetAdminDelayUpdated} event.\n     */\n    function setTargetAdminDelay(address target, uint32 newDelay) external;\n\n    /**\n     * @dev Set the closed flag for a contract.\n     *\n     * Closing the manager itself won't disable access to admin methods to avoid locking the contract.\n     *\n     * Requirements:\n     *\n     * - the caller must be a global admin\n     *\n     * Emits a {TargetClosed} event.\n     */\n    function setTargetClosed(address target, bool closed) external;\n\n    /**\n     * @dev Return the timepoint at which a scheduled operation will be ready for execution. This returns 0 if the\n     * operation is not yet scheduled, has expired, was executed, or was canceled.\n     */\n    function getSchedule(bytes32 id) external view returns (uint48);\n\n    /**\n     * @dev Return the nonce for the latest scheduled operation with a given id. Returns 0 if the operation has never\n     * been scheduled.\n     */\n    function getNonce(bytes32 id) external view returns (uint32);\n\n    /**\n     * @dev Schedule a delayed operation for future execution, and return the operation identifier. It is possible to\n     * choose the timestamp at which the operation becomes executable as long as it satisfies the execution delays\n     * required for the caller. The special value zero will automatically set the earliest possible time.\n     *\n     * Returns the `operationId` that was scheduled. Since this value is a hash of the parameters, it can reoccur when\n     * the same parameters are used; if this is relevant, the returned `nonce` can be used to uniquely identify this\n     * scheduled operation from other occurrences of the same `operationId` in invocations of {execute} and {cancel}.\n     *\n     * Emits a {OperationScheduled} event.\n     *\n     * NOTE: It is not possible to concurrently schedule more than one operation with the same `target` and `data`. If\n     * this is necessary, a random byte can be appended to `data` to act as a salt that will be ignored by the target\n     * contract if it is using standard Solidity ABI encoding.\n     */\n    function schedule(\n        address target,\n        bytes calldata data,\n        uint48 when\n    ) external returns (bytes32 operationId, uint32 nonce);\n\n    /**\n     * @dev Execute a function that is delay restricted, provided it was properly scheduled beforehand, or the\n     * execution delay is 0.\n     *\n     * Returns the nonce that identifies the previously scheduled operation that is executed, or 0 if the\n     * operation wasn't previously scheduled (if the caller doesn't have an execution delay).\n     *\n     * Emits an {OperationExecuted} event only if the call was scheduled and delayed.\n     */\n    function execute(address target, bytes calldata data) external payable returns (uint32);\n\n    /**\n     * @dev Cancel a scheduled (delayed) operation. Returns the nonce that identifies the previously scheduled\n     * operation that is cancelled.\n     *\n     * Requirements:\n     *\n     * - the caller must be the proposer, a guardian of the targeted function, or a global admin\n     *\n     * Emits a {OperationCanceled} event.\n     */\n    function cancel(address caller, address target, bytes calldata data) external returns (uint32);\n\n    /**\n     * @dev Consume a scheduled operation targeting the caller. If such an operation exists, mark it as consumed\n     * (emit an {OperationExecuted} event and clean the state). Otherwise, throw an error.\n     *\n     * This is useful for contracts that want to enforce that calls targeting them were scheduled on the manager,\n     * with all the verifications that it implies.\n     *\n     * Emit a {OperationExecuted} event.\n     */\n    function consumeScheduledOp(address caller, bytes calldata data) external;\n\n    /**\n     * @dev Hashing function for delayed operations.\n     */\n    function hashOperation(address caller, address target, bytes calldata data) external view returns (bytes32);\n\n    /**\n     * @dev Changes the authority of a target managed by this manager instance.\n     *\n     * Requirements:\n     *\n     * - the caller must be a global admin\n     */\n    function updateAuthority(address target, address newAuthority) external;\n}\n"},{"file_path":"dependencies/@openzeppelin-contracts-5.5.0/access/manager/IAuthority.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.4.0) (access/manager/IAuthority.sol)\n\npragma solidity >=0.4.16;\n\n/**\n * @dev Standard interface for permissioning originally defined in Dappsys.\n */\ninterface IAuthority {\n    /**\n     * @dev Returns true if the caller can invoke on a target the function identified by a function selector.\n     */\n    function canCall(address caller, address target, bytes4 selector) external view returns (bool allowed);\n}\n"},{"file_path":"dependencies/@openzeppelin-contracts-5.5.0/utils/Arrays.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.5.0) (utils/Arrays.sol)\n// This file was procedurally generated from scripts/generate/templates/Arrays.js.\n\npragma solidity ^0.8.24;\n\nimport {Comparators} from \"./Comparators.sol\";\nimport {SlotDerivation} from \"./SlotDerivation.sol\";\nimport {StorageSlot} from \"./StorageSlot.sol\";\nimport {Math} from \"./math/Math.sol\";\n\n/**\n * @dev Collection of functions related to array types.\n */\nlibrary Arrays {\n    using SlotDerivation for bytes32;\n    using StorageSlot for bytes32;\n\n    /**\n     * @dev Sort an array of uint256 (in memory) following the provided comparator function.\n     *\n     * This function does the sorting \"in place\", meaning that it overrides the input. The object is returned for\n     * convenience, but that returned value can be discarded safely if the caller has a memory pointer to the array.\n     *\n     * NOTE: this function's cost is `O(n · log(n))` in average and `O(n²)` in the worst case, with n the length of the\n     * array. Using it in view functions that are executed through `eth_call` is safe, but one should be very careful\n     * when executing this as part of a transaction. If the array being sorted is too large, the sort operation may\n     * consume more gas than is available in a block, leading to potential DoS.\n     *\n     * IMPORTANT: Consider memory side-effects when using custom comparator functions that access memory in an unsafe way.\n     */\n    function sort(\n        uint256[] memory array,\n        function(uint256, uint256) pure returns (bool) comp\n    ) internal pure returns (uint256[] memory) {\n        _quickSort(_begin(array), _end(array), comp);\n        return array;\n    }\n\n    /**\n     * @dev Variant of {sort} that sorts an array of uint256 in increasing order.\n     */\n    function sort(uint256[] memory array) internal pure returns (uint256[] memory) {\n        sort(array, Comparators.lt);\n        return array;\n    }\n\n    /**\n     * @dev Sort an array of address (in memory) following the provided comparator function.\n     *\n     * This function does the sorting \"in place\", meaning that it overrides the input. The object is returned for\n     * convenience, but that returned value can be discarded safely if the caller has a memory pointer to the array.\n     *\n     * NOTE: this function's cost is `O(n · log(n))` in average and `O(n²)` in the worst case, with n the length of the\n     * array. Using it in view functions that are executed through `eth_call` is safe, but one should be very careful\n     * when executing this as part of a transaction. If the array being sorted is too large, the sort operation may\n     * consume more gas than is available in a block, leading to potential DoS.\n     *\n     * IMPORTANT: Consider memory side-effects when using custom comparator functions that access memory in an unsafe way.\n     */\n    function sort(\n        address[] memory array,\n        function(address, address) pure returns (bool) comp\n    ) internal pure returns (address[] memory) {\n        sort(_castToUint256Array(array), _castToUint256Comp(comp));\n        return array;\n    }\n\n    /**\n     * @dev Variant of {sort} that sorts an array of address in increasing order.\n     */\n    function sort(address[] memory array) internal pure returns (address[] memory) {\n        sort(_castToUint256Array(array), Comparators.lt);\n        return array;\n    }\n\n    /**\n     * @dev Sort an array of bytes32 (in memory) following the provided comparator function.\n     *\n     * This function does the sorting \"in place\", meaning that it overrides the input. The object is returned for\n     * convenience, but that returned value can be discarded safely if the caller has a memory pointer to the array.\n     *\n     * NOTE: this function's cost is `O(n · log(n))` in average and `O(n²)` in the worst case, with n the length of the\n     * array. Using it in view functions that are executed through `eth_call` is safe, but one should be very careful\n     * when executing this as part of a transaction. If the array being sorted is too large, the sort operation may\n     * consume more gas than is available in a block, leading to potential DoS.\n     *\n     * IMPORTANT: Consider memory side-effects when using custom comparator functions that access memory in an unsafe way.\n     */\n    function sort(\n        bytes32[] memory array,\n        function(bytes32, bytes32) pure returns (bool) comp\n    ) internal pure returns (bytes32[] memory) {\n        sort(_castToUint256Array(array), _castToUint256Comp(comp));\n        return array;\n    }\n\n    /**\n     * @dev Variant of {sort} that sorts an array of bytes32 in increasing order.\n     */\n    function sort(bytes32[] memory array) internal pure returns (bytes32[] memory) {\n        sort(_castToUint256Array(array), Comparators.lt);\n        return array;\n    }\n\n    /**\n     * @dev Performs a quick sort of a segment of memory. The segment sorted starts at `begin` (inclusive), and stops\n     * at end (exclusive). Sorting follows the `comp` comparator.\n     *\n     * Invariant: `begin <= end`. This is the case when initially called by {sort} and is preserved in subcalls.\n     *\n     * IMPORTANT: Memory locations between `begin` and `end` are not validated/zeroed. This function should\n     * be used only if the limits are within a memory array.\n     */\n    function _quickSort(uint256 begin, uint256 end, function(uint256, uint256) pure returns (bool) comp) private pure {\n        unchecked {\n            if (end - begin < 0x40) return;\n\n            // Use first element as pivot\n            uint256 pivot = _mload(begin);\n            // Position where the pivot should be at the end of the loop\n            uint256 pos = begin;\n\n            for (uint256 it = begin + 0x20; it < end; it += 0x20) {\n                if (comp(_mload(it), pivot)) {\n                    // If the value stored at the iterator's position comes before the pivot, we increment the\n                    // position of the pivot and move the value there.\n                    pos += 0x20;\n                    _swap(pos, it);\n                }\n            }\n\n            _swap(begin, pos); // Swap pivot into place\n            _quickSort(begin, pos, comp); // Sort the left side of the pivot\n            _quickSort(pos + 0x20, end, comp); // Sort the right side of the pivot\n        }\n    }\n\n    /**\n     * @dev Pointer to the memory location of the first element of `array`.\n     */\n    function _begin(uint256[] memory array) private pure returns (uint256 ptr) {\n        assembly (\"memory-safe\") {\n            ptr := add(array, 0x20)\n        }\n    }\n\n    /**\n     * @dev Pointer to the memory location of the first memory word (32bytes) after `array`. This is the memory word\n     * that comes just after the last element of the array.\n     */\n    function _end(uint256[] memory array) private pure returns (uint256 ptr) {\n        unchecked {\n            return _begin(array) + array.length * 0x20;\n        }\n    }\n\n    /**\n     * @dev Load memory word (as a uint256) at location `ptr`.\n     */\n    function _mload(uint256 ptr) private pure returns (uint256 value) {\n        assembly {\n            value := mload(ptr)\n        }\n    }\n\n    /**\n     * @dev Swaps the elements memory location `ptr1` and `ptr2`.\n     */\n    function _swap(uint256 ptr1, uint256 ptr2) private pure {\n        assembly {\n            let value1 := mload(ptr1)\n            let value2 := mload(ptr2)\n            mstore(ptr1, value2)\n            mstore(ptr2, value1)\n        }\n    }\n\n    /// @dev Helper: low level cast address memory array to uint256 memory array\n    function _castToUint256Array(address[] memory input) private pure returns (uint256[] memory output) {\n        assembly {\n            output := input\n        }\n    }\n\n    /// @dev Helper: low level cast bytes32 memory array to uint256 memory array\n    function _castToUint256Array(bytes32[] memory input) private pure returns (uint256[] memory output) {\n        assembly {\n            output := input\n        }\n    }\n\n    /// @dev Helper: low level cast address comp function to uint256 comp function\n    function _castToUint256Comp(\n        function(address, address) pure returns (bool) input\n    ) private pure returns (function(uint256, uint256) pure returns (bool) output) {\n        assembly {\n            output := input\n        }\n    }\n\n    /// @dev Helper: low level cast bytes32 comp function to uint256 comp function\n    function _castToUint256Comp(\n        function(bytes32, bytes32) pure returns (bool) input\n    ) private pure returns (function(uint256, uint256) pure returns (bool) output) {\n        assembly {\n            output := input\n        }\n    }\n\n    /**\n     * @dev Searches a sorted `array` and returns the first index that contains\n     * a value greater or equal to `element`. If no such index exists (i.e. all\n     * values in the array are strictly less than `element`), the array length is\n     * returned. Time complexity O(log n).\n     *\n     * NOTE: The `array` is expected to be sorted in ascending order, and to\n     * contain no repeated elements.\n     *\n     * IMPORTANT: Deprecated. This implementation behaves as {lowerBound} but lacks\n     * support for repeated elements in the array. The {lowerBound} function should\n     * be used instead.\n     */\n    function findUpperBound(uint256[] storage array, uint256 element) internal view returns (uint256) {\n        uint256 low = 0;\n        uint256 high = array.length;\n\n        if (high == 0) {\n            return 0;\n        }\n\n        while (low < high) {\n            uint256 mid = Math.average(low, high);\n\n            // Note that mid will always be strictly less than high (i.e. it will be a valid array index)\n            // because Math.average rounds towards zero (it does integer division with truncation).\n            if (unsafeAccess(array, mid).value > element) {\n                high = mid;\n            } else {\n                low = mid + 1;\n            }\n        }\n\n        // At this point `low` is the exclusive upper bound. We will return the inclusive upper bound.\n        if (low > 0 && unsafeAccess(array, low - 1).value == element) {\n            return low - 1;\n        } else {\n            return low;\n        }\n    }\n\n    /**\n     * @dev Searches an `array` sorted in ascending order and returns the first\n     * index that contains a value greater or equal than `element`. If no such index\n     * exists (i.e. all values in the array are strictly less than `element`), the array\n     * length is returned. Time complexity O(log n).\n     *\n     * See C++'s https://en.cppreference.com/w/cpp/algorithm/lower_bound[lower_bound].\n     */\n    function lowerBound(uint256[] storage array, uint256 element) internal view returns (uint256) {\n        uint256 low = 0;\n        uint256 high = array.length;\n\n        if (high == 0) {\n            return 0;\n        }\n\n        while (low < high) {\n            uint256 mid = Math.average(low, high);\n\n            // Note that mid will always be strictly less than high (i.e. it will be a valid array index)\n            // because Math.average rounds towards zero (it does integer division with truncation).\n            if (unsafeAccess(array, mid).value < element) {\n                // this cannot overflow because mid < high\n                unchecked {\n                    low = mid + 1;\n                }\n            } else {\n                high = mid;\n            }\n        }\n\n        return low;\n    }\n\n    /**\n     * @dev Searches an `array` sorted in ascending order and returns the first\n     * index that contains a value strictly greater than `element`. If no such index\n     * exists (i.e. all values in the array are strictly less than `element`), the array\n     * length is returned. Time complexity O(log n).\n     *\n     * See C++'s https://en.cppreference.com/w/cpp/algorithm/upper_bound[upper_bound].\n     */\n    function upperBound(uint256[] storage array, uint256 element) internal view returns (uint256) {\n        uint256 low = 0;\n        uint256 high = array.length;\n\n        if (high == 0) {\n            return 0;\n        }\n\n        while (low < high) {\n            uint256 mid = Math.average(low, high);\n\n            // Note that mid will always be strictly less than high (i.e. it will be a valid array index)\n            // because Math.average rounds towards zero (it does integer division with truncation).\n            if (unsafeAccess(array, mid).value > element) {\n                high = mid;\n            } else {\n                // this cannot overflow because mid < high\n                unchecked {\n                    low = mid + 1;\n                }\n            }\n        }\n\n        return low;\n    }\n\n    /**\n     * @dev Same as {lowerBound}, but with an array in memory.\n     */\n    function lowerBoundMemory(uint256[] memory array, uint256 element) internal pure returns (uint256) {\n        uint256 low = 0;\n        uint256 high = array.length;\n\n        if (high == 0) {\n            return 0;\n        }\n\n        while (low < high) {\n            uint256 mid = Math.average(low, high);\n\n            // Note that mid will always be strictly less than high (i.e. it will be a valid array index)\n            // because Math.average rounds towards zero (it does integer division with truncation).\n            if (unsafeMemoryAccess(array, mid) < element) {\n                // this cannot overflow because mid < high\n                unchecked {\n                    low = mid + 1;\n                }\n            } else {\n                high = mid;\n            }\n        }\n\n        return low;\n    }\n\n    /**\n     * @dev Same as {upperBound}, but with an array in memory.\n     */\n    function upperBoundMemory(uint256[] memory array, uint256 element) internal pure returns (uint256) {\n        uint256 low = 0;\n        uint256 high = array.length;\n\n        if (high == 0) {\n            return 0;\n        }\n\n        while (low < high) {\n            uint256 mid = Math.average(low, high);\n\n            // Note that mid will always be strictly less than high (i.e. it will be a valid array index)\n            // because Math.average rounds towards zero (it does integer division with truncation).\n            if (unsafeMemoryAccess(array, mid) > element) {\n                high = mid;\n            } else {\n                // this cannot overflow because mid < high\n                unchecked {\n                    low = mid + 1;\n                }\n            }\n        }\n\n        return low;\n    }\n\n    /**\n     * @dev Copies the content of `array`, from `start` (included) to the end of `array` into a new address array in\n     * memory.\n     *\n     * NOTE: replicates the behavior of https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/slice[Javascript's `Array.slice`]\n     */\n    function slice(address[] memory array, uint256 start) internal pure returns (address[] memory) {\n        return slice(array, start, array.length);\n    }\n\n    /**\n     * @dev Copies the content of `array`, from `start` (included) to `end` (excluded) into a new address array in\n     * memory. The `end` argument is truncated to the length of the `array`.\n     *\n     * NOTE: replicates the behavior of https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/slice[Javascript's `Array.slice`]\n     */\n    function slice(address[] memory array, uint256 start, uint256 end) internal pure returns (address[] memory) {\n        // sanitize\n        end = Math.min(end, array.length);\n        start = Math.min(start, end);\n\n        // allocate and copy\n        address[] memory result = new address[](end - start);\n        assembly (\"memory-safe\") {\n            mcopy(add(result, 0x20), add(add(array, 0x20), mul(start, 0x20)), mul(sub(end, start), 0x20))\n        }\n\n        return result;\n    }\n\n    /**\n     * @dev Copies the content of `array`, from `start` (included) to the end of `array` into a new bytes32 array in\n     * memory.\n     *\n     * NOTE: replicates the behavior of https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/slice[Javascript's `Array.slice`]\n     */\n    function slice(bytes32[] memory array, uint256 start) internal pure returns (bytes32[] memory) {\n        return slice(array, start, array.length);\n    }\n\n    /**\n     * @dev Copies the content of `array`, from `start` (included) to `end` (excluded) into a new bytes32 array in\n     * memory. The `end` argument is truncated to the length of the `array`.\n     *\n     * NOTE: replicates the behavior of https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/slice[Javascript's `Array.slice`]\n     */\n    function slice(bytes32[] memory array, uint256 start, uint256 end) internal pure returns (bytes32[] memory) {\n        // sanitize\n        end = Math.min(end, array.length);\n        start = Math.min(start, end);\n\n        // allocate and copy\n        bytes32[] memory result = new bytes32[](end - start);\n        assembly (\"memory-safe\") {\n            mcopy(add(result, 0x20), add(add(array, 0x20), mul(start, 0x20)), mul(sub(end, start), 0x20))\n        }\n\n        return result;\n    }\n\n    /**\n     * @dev Copies the content of `array`, from `start` (included) to the end of `array` into a new uint256 array in\n     * memory.\n     *\n     * NOTE: replicates the behavior of https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/slice[Javascript's `Array.slice`]\n     */\n    function slice(uint256[] memory array, uint256 start) internal pure returns (uint256[] memory) {\n        return slice(array, start, array.length);\n    }\n\n    /**\n     * @dev Copies the content of `array`, from `start` (included) to `end` (excluded) into a new uint256 array in\n     * memory. The `end` argument is truncated to the length of the `array`.\n     *\n     * NOTE: replicates the behavior of https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/slice[Javascript's `Array.slice`]\n     */\n    function slice(uint256[] memory array, uint256 start, uint256 end) internal pure returns (uint256[] memory) {\n        // sanitize\n        end = Math.min(end, array.length);\n        start = Math.min(start, end);\n\n        // allocate and copy\n        uint256[] memory result = new uint256[](end - start);\n        assembly (\"memory-safe\") {\n            mcopy(add(result, 0x20), add(add(array, 0x20), mul(start, 0x20)), mul(sub(end, start), 0x20))\n        }\n\n        return result;\n    }\n\n    /**\n     * @dev Moves the content of `array`, from `start` (included) to the end of `array` to the start of that array.\n     *\n     * NOTE: This function modifies the provided array in place. If you need to preserve the original array, use {slice} instead.\n     * NOTE: replicates the behavior of https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/splice[Javascript's `Array.splice`]\n     */\n    function splice(address[] memory array, uint256 start) internal pure returns (address[] memory) {\n        return splice(array, start, array.length);\n    }\n\n    /**\n     * @dev Moves the content of `array`, from `start` (included) to `end` (excluded) to the start of that array. The\n     * `end` argument is truncated to the length of the `array`.\n     *\n     * NOTE: This function modifies the provided array in place. If you need to preserve the original array, use {slice} instead.\n     * NOTE: replicates the behavior of https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/splice[Javascript's `Array.splice`]\n     */\n    function splice(address[] memory array, uint256 start, uint256 end) internal pure returns (address[] memory) {\n        // sanitize\n        end = Math.min(end, array.length);\n        start = Math.min(start, end);\n\n        // move and resize\n        assembly (\"memory-safe\") {\n            mcopy(add(array, 0x20), add(add(array, 0x20), mul(start, 0x20)), mul(sub(end, start), 0x20))\n            mstore(array, sub(end, start))\n        }\n\n        return array;\n    }\n\n    /**\n     * @dev Moves the content of `array`, from `start` (included) to the end of `array` to the start of that array.\n     *\n     * NOTE: This function modifies the provided array in place. If you need to preserve the original array, use {slice} instead.\n     * NOTE: replicates the behavior of https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/splice[Javascript's `Array.splice`]\n     */\n    function splice(bytes32[] memory array, uint256 start) internal pure returns (bytes32[] memory) {\n        return splice(array, start, array.length);\n    }\n\n    /**\n     * @dev Moves the content of `array`, from `start` (included) to `end` (excluded) to the start of that array. The\n     * `end` argument is truncated to the length of the `array`.\n     *\n     * NOTE: This function modifies the provided array in place. If you need to preserve the original array, use {slice} instead.\n     * NOTE: replicates the behavior of https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/splice[Javascript's `Array.splice`]\n     */\n    function splice(bytes32[] memory array, uint256 start, uint256 end) internal pure returns (bytes32[] memory) {\n        // sanitize\n        end = Math.min(end, array.length);\n        start = Math.min(start, end);\n\n        // move and resize\n        assembly (\"memory-safe\") {\n            mcopy(add(array, 0x20), add(add(array, 0x20), mul(start, 0x20)), mul(sub(end, start), 0x20))\n            mstore(array, sub(end, start))\n        }\n\n        return array;\n    }\n\n    /**\n     * @dev Moves the content of `array`, from `start` (included) to the end of `array` to the start of that array.\n     *\n     * NOTE: This function modifies the provided array in place. If you need to preserve the original array, use {slice} instead.\n     * NOTE: replicates the behavior of https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/splice[Javascript's `Array.splice`]\n     */\n    function splice(uint256[] memory array, uint256 start) internal pure returns (uint256[] memory) {\n        return splice(array, start, array.length);\n    }\n\n    /**\n     * @dev Moves the content of `array`, from `start` (included) to `end` (excluded) to the start of that array. The\n     * `end` argument is truncated to the length of the `array`.\n     *\n     * NOTE: This function modifies the provided array in place. If you need to preserve the original array, use {slice} instead.\n     * NOTE: replicates the behavior of https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/splice[Javascript's `Array.splice`]\n     */\n    function splice(uint256[] memory array, uint256 start, uint256 end) internal pure returns (uint256[] memory) {\n        // sanitize\n        end = Math.min(end, array.length);\n        start = Math.min(start, end);\n\n        // move and resize\n        assembly (\"memory-safe\") {\n            mcopy(add(array, 0x20), add(add(array, 0x20), mul(start, 0x20)), mul(sub(end, start), 0x20))\n            mstore(array, sub(end, start))\n        }\n\n        return array;\n    }\n\n    /**\n     * @dev Access an array in an \"unsafe\" way. Skips solidity \"index-out-of-range\" check.\n     *\n     * WARNING: Only use if you are certain `pos` is lower than the array length.\n     */\n    function unsafeAccess(address[] storage arr, uint256 pos) internal pure returns (StorageSlot.AddressSlot storage) {\n        bytes32 slot;\n        assembly (\"memory-safe\") {\n            slot := arr.slot\n        }\n        return slot.deriveArray().offset(pos).getAddressSlot();\n    }\n\n    /**\n     * @dev Access an array in an \"unsafe\" way. Skips solidity \"index-out-of-range\" check.\n     *\n     * WARNING: Only use if you are certain `pos` is lower than the array length.\n     */\n    function unsafeAccess(bytes32[] storage arr, uint256 pos) internal pure returns (StorageSlot.Bytes32Slot storage) {\n        bytes32 slot;\n        assembly (\"memory-safe\") {\n            slot := arr.slot\n        }\n        return slot.deriveArray().offset(pos).getBytes32Slot();\n    }\n\n    /**\n     * @dev Access an array in an \"unsafe\" way. Skips solidity \"index-out-of-range\" check.\n     *\n     * WARNING: Only use if you are certain `pos` is lower than the array length.\n     */\n    function unsafeAccess(uint256[] storage arr, uint256 pos) internal pure returns (StorageSlot.Uint256Slot storage) {\n        bytes32 slot;\n        assembly (\"memory-safe\") {\n            slot := arr.slot\n        }\n        return slot.deriveArray().offset(pos).getUint256Slot();\n    }\n\n    /**\n     * @dev Access an array in an \"unsafe\" way. Skips solidity \"index-out-of-range\" check.\n     *\n     * WARNING: Only use if you are certain `pos` is lower than the array length.\n     */\n    function unsafeAccess(bytes[] storage arr, uint256 pos) internal pure returns (StorageSlot.BytesSlot storage) {\n        bytes32 slot;\n        assembly (\"memory-safe\") {\n            slot := arr.slot\n        }\n        return slot.deriveArray().offset(pos).getBytesSlot();\n    }\n\n    /**\n     * @dev Access an array in an \"unsafe\" way. Skips solidity \"index-out-of-range\" check.\n     *\n     * WARNING: Only use if you are certain `pos` is lower than the array length.\n     */\n    function unsafeAccess(string[] storage arr, uint256 pos) internal pure returns (StorageSlot.StringSlot storage) {\n        bytes32 slot;\n        assembly (\"memory-safe\") {\n            slot := arr.slot\n        }\n        return slot.deriveArray().offset(pos).getStringSlot();\n    }\n\n    /**\n     * @dev Access an array in an \"unsafe\" way. Skips solidity \"index-out-of-range\" check.\n     *\n     * WARNING: Only use if you are certain `pos` is lower than the array length.\n     */\n    function unsafeMemoryAccess(address[] memory arr, uint256 pos) internal pure returns (address res) {\n        assembly {\n            res := mload(add(add(arr, 0x20), mul(pos, 0x20)))\n        }\n    }\n\n    /**\n     * @dev Access an array in an \"unsafe\" way. Skips solidity \"index-out-of-range\" check.\n     *\n     * WARNING: Only use if you are certain `pos` is lower than the array length.\n     */\n    function unsafeMemoryAccess(bytes32[] memory arr, uint256 pos) internal pure returns (bytes32 res) {\n        assembly {\n            res := mload(add(add(arr, 0x20), mul(pos, 0x20)))\n        }\n    }\n\n    /**\n     * @dev Access an array in an \"unsafe\" way. Skips solidity \"index-out-of-range\" check.\n     *\n     * WARNING: Only use if you are certain `pos` is lower than the array length.\n     */\n    function unsafeMemoryAccess(uint256[] memory arr, uint256 pos) internal pure returns (uint256 res) {\n        assembly {\n            res := mload(add(add(arr, 0x20), mul(pos, 0x20)))\n        }\n    }\n\n    /**\n     * @dev Access an array in an \"unsafe\" way. Skips solidity \"index-out-of-range\" check.\n     *\n     * WARNING: Only use if you are certain `pos` is lower than the array length.\n     */\n    function unsafeMemoryAccess(bytes[] memory arr, uint256 pos) internal pure returns (bytes memory res) {\n        assembly {\n            res := mload(add(add(arr, 0x20), mul(pos, 0x20)))\n        }\n    }\n\n    /**\n     * @dev Access an array in an \"unsafe\" way. Skips solidity \"index-out-of-range\" check.\n     *\n     * WARNING: Only use if you are certain `pos` is lower than the array length.\n     */\n    function unsafeMemoryAccess(string[] memory arr, uint256 pos) internal pure returns (string memory res) {\n        assembly {\n            res := mload(add(add(arr, 0x20), mul(pos, 0x20)))\n        }\n    }\n\n    /**\n     * @dev Helper to set the length of a dynamic array. Directly writing to `.length` is forbidden.\n     *\n     * WARNING: this does not clear elements if length is reduced, of initialize elements if length is increased.\n     */\n    function unsafeSetLength(address[] storage array, uint256 len) internal {\n        assembly (\"memory-safe\") {\n            sstore(array.slot, len)\n        }\n    }\n\n    /**\n     * @dev Helper to set the length of a dynamic array. Directly writing to `.length` is forbidden.\n     *\n     * WARNING: this does not clear elements if length is reduced, of initialize elements if length is increased.\n     */\n    function unsafeSetLength(bytes32[] storage array, uint256 len) internal {\n        assembly (\"memory-safe\") {\n            sstore(array.slot, len)\n        }\n    }\n\n    /**\n     * @dev Helper to set the length of a dynamic array. Directly writing to `.length` is forbidden.\n     *\n     * WARNING: this does not clear elements if length is reduced, of initialize elements if length is increased.\n     */\n    function unsafeSetLength(uint256[] storage array, uint256 len) internal {\n        assembly (\"memory-safe\") {\n            sstore(array.slot, len)\n        }\n    }\n\n    /**\n     * @dev Helper to set the length of a dynamic array. Directly writing to `.length` is forbidden.\n     *\n     * WARNING: this does not clear elements if length is reduced, of initialize elements if length is increased.\n     */\n    function unsafeSetLength(bytes[] storage array, uint256 len) internal {\n        assembly (\"memory-safe\") {\n            sstore(array.slot, len)\n        }\n    }\n\n    /**\n     * @dev Helper to set the length of a dynamic array. Directly writing to `.length` is forbidden.\n     *\n     * WARNING: this does not clear elements if length is reduced, of initialize elements if length is increased.\n     */\n    function unsafeSetLength(string[] storage array, uint256 len) internal {\n        assembly (\"memory-safe\") {\n            sstore(array.slot, len)\n        }\n    }\n}\n"},{"file_path":"dependencies/@openzeppelin-contracts-5.5.0/utils/Comparators.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.1.0) (utils/Comparators.sol)\n\npragma solidity ^0.8.20;\n\n/**\n * @dev Provides a set of functions to compare values.\n *\n * _Available since v5.1._\n */\nlibrary Comparators {\n    function lt(uint256 a, uint256 b) internal pure returns (bool) {\n        return a < b;\n    }\n\n    function gt(uint256 a, uint256 b) internal pure returns (bool) {\n        return a > b;\n    }\n}\n"},{"file_path":"dependencies/@openzeppelin-contracts-5.5.0/utils/Context.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.0.1) (utils/Context.sol)\n\npragma solidity ^0.8.20;\n\n/**\n * @dev Provides information about the current execution context, including the\n * sender of the transaction and its data. While these are generally available\n * via msg.sender and msg.data, they should not be accessed in such a direct\n * manner, since when dealing with meta-transactions the account sending and\n * paying for execution may not be the actual sender (as far as an application\n * is concerned).\n *\n * This contract is only required for intermediate, library-like contracts.\n */\nabstract contract Context {\n    function _msgSender() internal view virtual returns (address) {\n        return msg.sender;\n    }\n\n    function _msgData() internal view virtual returns (bytes calldata) {\n        return msg.data;\n    }\n\n    function _contextSuffixLength() internal view virtual returns (uint256) {\n        return 0;\n    }\n}\n"},{"file_path":"dependencies/@openzeppelin-contracts-5.5.0/utils/Panic.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.1.0) (utils/Panic.sol)\n\npragma solidity ^0.8.20;\n\n/**\n * @dev Helper library for emitting standardized panic codes.\n *\n * ```solidity\n * contract Example {\n *      using Panic for uint256;\n *\n *      // Use any of the declared internal constants\n *      function foo() { Panic.GENERIC.panic(); }\n *\n *      // Alternatively\n *      function foo() { Panic.panic(Panic.GENERIC); }\n * }\n * ```\n *\n * Follows the list from https://github.com/ethereum/solidity/blob/v0.8.24/libsolutil/ErrorCodes.h[libsolutil].\n *\n * _Available since v5.1._\n */\n// slither-disable-next-line unused-state\nlibrary Panic {\n    /// @dev generic / unspecified error\n    uint256 internal constant GENERIC = 0x00;\n    /// @dev used by the assert() builtin\n    uint256 internal constant ASSERT = 0x01;\n    /// @dev arithmetic underflow or overflow\n    uint256 internal constant UNDER_OVERFLOW = 0x11;\n    /// @dev division or modulo by zero\n    uint256 internal constant DIVISION_BY_ZERO = 0x12;\n    /// @dev enum conversion error\n    uint256 internal constant ENUM_CONVERSION_ERROR = 0x21;\n    /// @dev invalid encoding in storage\n    uint256 internal constant STORAGE_ENCODING_ERROR = 0x22;\n    /// @dev empty array pop\n    uint256 internal constant EMPTY_ARRAY_POP = 0x31;\n    /// @dev array out of bounds access\n    uint256 internal constant ARRAY_OUT_OF_BOUNDS = 0x32;\n    /// @dev resource error (too large allocation or too large array)\n    uint256 internal constant RESOURCE_ERROR = 0x41;\n    /// @dev calling invalid internal function\n    uint256 internal constant INVALID_INTERNAL_FUNCTION = 0x51;\n\n    /// @dev Reverts with a panic code. Recommended to use with\n    /// the internal constants with predefined codes.\n    function panic(uint256 code) internal pure {\n        assembly (\"memory-safe\") {\n            mstore(0x00, 0x4e487b71)\n            mstore(0x20, code)\n            revert(0x1c, 0x24)\n        }\n    }\n}\n"},{"file_path":"dependencies/@openzeppelin-contracts-5.5.0/utils/SlotDerivation.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.5.0) (utils/SlotDerivation.sol)\n// This file was procedurally generated from scripts/generate/templates/SlotDerivation.js.\n\npragma solidity ^0.8.20;\n\n/**\n * @dev Library for computing storage (and transient storage) locations from namespaces and deriving slots\n * corresponding to standard patterns. The derivation method for array and mapping matches the storage layout used by\n * the solidity language / compiler.\n *\n * See https://docs.soliditylang.org/en/v0.8.20/internals/layout_in_storage.html#mappings-and-dynamic-arrays[Solidity docs for mappings and dynamic arrays.].\n *\n * Example usage:\n * ```solidity\n * contract Example {\n *     // Add the library methods\n *     using StorageSlot for bytes32;\n *     using SlotDerivation for *;\n *\n *     // Declare a namespace\n *     string private constant _NAMESPACE = \"<namespace>\"; // eg. OpenZeppelin.Slot\n *\n *     function setValueInNamespace(uint256 key, address newValue) internal {\n *         _NAMESPACE.erc7201Slot().deriveMapping(key).getAddressSlot().value = newValue;\n *     }\n *\n *     function getValueInNamespace(uint256 key) internal view returns (address) {\n *         return _NAMESPACE.erc7201Slot().deriveMapping(key).getAddressSlot().value;\n *     }\n * }\n * ```\n *\n * TIP: Consider using this library along with {StorageSlot}.\n *\n * NOTE: This library provides a way to manipulate storage locations in a non-standard way. Tooling for checking\n * upgrade safety will ignore the slots accessed through this library.\n *\n * _Available since v5.1._\n */\nlibrary SlotDerivation {\n    /**\n     * @dev Derive an ERC-7201 slot from a string (namespace).\n     */\n    function erc7201Slot(string memory namespace) internal pure returns (bytes32 slot) {\n        assembly (\"memory-safe\") {\n            mstore(0x00, sub(keccak256(add(namespace, 0x20), mload(namespace)), 1))\n            slot := and(keccak256(0x00, 0x20), not(0xff))\n        }\n    }\n\n    /**\n     * @dev Add an offset to a slot to get the n-th element of a structure or an array.\n     */\n    function offset(bytes32 slot, uint256 pos) internal pure returns (bytes32 result) {\n        unchecked {\n            return bytes32(uint256(slot) + pos);\n        }\n    }\n\n    /**\n     * @dev Derive the location of the first element in an array from the slot where the length is stored.\n     */\n    function deriveArray(bytes32 slot) internal pure returns (bytes32 result) {\n        assembly (\"memory-safe\") {\n            mstore(0x00, slot)\n            result := keccak256(0x00, 0x20)\n        }\n    }\n\n    /**\n     * @dev Derive the location of a mapping element from the key.\n     */\n    function deriveMapping(bytes32 slot, address key) internal pure returns (bytes32 result) {\n        assembly (\"memory-safe\") {\n            mstore(0x00, and(key, shr(96, not(0))))\n            mstore(0x20, slot)\n            result := keccak256(0x00, 0x40)\n        }\n    }\n\n    /**\n     * @dev Derive the location of a mapping element from the key.\n     */\n    function deriveMapping(bytes32 slot, bool key) internal pure returns (bytes32 result) {\n        assembly (\"memory-safe\") {\n            mstore(0x00, iszero(iszero(key)))\n            mstore(0x20, slot)\n            result := keccak256(0x00, 0x40)\n        }\n    }\n\n    /**\n     * @dev Derive the location of a mapping element from the key.\n     */\n    function deriveMapping(bytes32 slot, bytes32 key) internal pure returns (bytes32 result) {\n        assembly (\"memory-safe\") {\n            mstore(0x00, key)\n            mstore(0x20, slot)\n            result := keccak256(0x00, 0x40)\n        }\n    }\n\n    /**\n     * @dev Derive the location of a mapping element from the key.\n     */\n    function deriveMapping(bytes32 slot, uint256 key) internal pure returns (bytes32 result) {\n        assembly (\"memory-safe\") {\n            mstore(0x00, key)\n            mstore(0x20, slot)\n            result := keccak256(0x00, 0x40)\n        }\n    }\n\n    /**\n     * @dev Derive the location of a mapping element from the key.\n     */\n    function deriveMapping(bytes32 slot, int256 key) internal pure returns (bytes32 result) {\n        assembly (\"memory-safe\") {\n            mstore(0x00, key)\n            mstore(0x20, slot)\n            result := keccak256(0x00, 0x40)\n        }\n    }\n\n    /**\n     * @dev Derive the location of a mapping element from the key.\n     */\n    function deriveMapping(bytes32 slot, string memory key) internal pure returns (bytes32 result) {\n        assembly (\"memory-safe\") {\n            let length := mload(key)\n            let begin := add(key, 0x20)\n            let end := add(begin, length)\n            let cache := mload(end)\n            mstore(end, slot)\n            result := keccak256(begin, add(length, 0x20))\n            mstore(end, cache)\n        }\n    }\n\n    /**\n     * @dev Derive the location of a mapping element from the key.\n     */\n    function deriveMapping(bytes32 slot, bytes memory key) internal pure returns (bytes32 result) {\n        assembly (\"memory-safe\") {\n            let length := mload(key)\n            let begin := add(key, 0x20)\n            let end := add(begin, length)\n            let cache := mload(end)\n            mstore(end, slot)\n            result := keccak256(begin, add(length, 0x20))\n            mstore(end, cache)\n        }\n    }\n}\n"},{"file_path":"dependencies/@openzeppelin-contracts-5.5.0/utils/StorageSlot.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.1.0) (utils/StorageSlot.sol)\n// This file was procedurally generated from scripts/generate/templates/StorageSlot.js.\n\npragma solidity ^0.8.20;\n\n/**\n * @dev Library for reading and writing primitive types to specific storage slots.\n *\n * Storage slots are often used to avoid storage conflict when dealing with upgradeable contracts.\n * This library helps with reading and writing to such slots without the need for inline assembly.\n *\n * The functions in this library return Slot structs that contain a `value` member that can be used to read or write.\n *\n * Example usage to set ERC-1967 implementation slot:\n * ```solidity\n * contract ERC1967 {\n *     // Define the slot. Alternatively, use the SlotDerivation library to derive the slot.\n *     bytes32 internal constant _IMPLEMENTATION_SLOT = 0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc;\n *\n *     function _getImplementation() internal view returns (address) {\n *         return StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value;\n *     }\n *\n *     function _setImplementation(address newImplementation) internal {\n *         require(newImplementation.code.length > 0);\n *         StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value = newImplementation;\n *     }\n * }\n * ```\n *\n * TIP: Consider using this library along with {SlotDerivation}.\n */\nlibrary StorageSlot {\n    struct AddressSlot {\n        address value;\n    }\n\n    struct BooleanSlot {\n        bool value;\n    }\n\n    struct Bytes32Slot {\n        bytes32 value;\n    }\n\n    struct Uint256Slot {\n        uint256 value;\n    }\n\n    struct Int256Slot {\n        int256 value;\n    }\n\n    struct StringSlot {\n        string value;\n    }\n\n    struct BytesSlot {\n        bytes value;\n    }\n\n    /**\n     * @dev Returns an `AddressSlot` with member `value` located at `slot`.\n     */\n    function getAddressSlot(bytes32 slot) internal pure returns (AddressSlot storage r) {\n        assembly (\"memory-safe\") {\n            r.slot := slot\n        }\n    }\n\n    /**\n     * @dev Returns a `BooleanSlot` with member `value` located at `slot`.\n     */\n    function getBooleanSlot(bytes32 slot) internal pure returns (BooleanSlot storage r) {\n        assembly (\"memory-safe\") {\n            r.slot := slot\n        }\n    }\n\n    /**\n     * @dev Returns a `Bytes32Slot` with member `value` located at `slot`.\n     */\n    function getBytes32Slot(bytes32 slot) internal pure returns (Bytes32Slot storage r) {\n        assembly (\"memory-safe\") {\n            r.slot := slot\n        }\n    }\n\n    /**\n     * @dev Returns a `Uint256Slot` with member `value` located at `slot`.\n     */\n    function getUint256Slot(bytes32 slot) internal pure returns (Uint256Slot storage r) {\n        assembly (\"memory-safe\") {\n            r.slot := slot\n        }\n    }\n\n    /**\n     * @dev Returns a `Int256Slot` with member `value` located at `slot`.\n     */\n    function getInt256Slot(bytes32 slot) internal pure returns (Int256Slot storage r) {\n        assembly (\"memory-safe\") {\n            r.slot := slot\n        }\n    }\n\n    /**\n     * @dev Returns a `StringSlot` with member `value` located at `slot`.\n     */\n    function getStringSlot(bytes32 slot) internal pure returns (StringSlot storage r) {\n        assembly (\"memory-safe\") {\n            r.slot := slot\n        }\n    }\n\n    /**\n     * @dev Returns an `StringSlot` representation of the string storage pointer `store`.\n     */\n    function getStringSlot(string storage store) internal pure returns (StringSlot storage r) {\n        assembly (\"memory-safe\") {\n            r.slot := store.slot\n        }\n    }\n\n    /**\n     * @dev Returns a `BytesSlot` with member `value` located at `slot`.\n     */\n    function getBytesSlot(bytes32 slot) internal pure returns (BytesSlot storage r) {\n        assembly (\"memory-safe\") {\n            r.slot := slot\n        }\n    }\n\n    /**\n     * @dev Returns an `BytesSlot` representation of the bytes storage pointer `store`.\n     */\n    function getBytesSlot(bytes storage store) internal pure returns (BytesSlot storage r) {\n        assembly (\"memory-safe\") {\n            r.slot := store.slot\n        }\n    }\n}\n"},{"file_path":"dependencies/@openzeppelin-contracts-5.5.0/utils/math/Math.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.5.0) (utils/math/Math.sol)\n\npragma solidity ^0.8.20;\n\nimport {Panic} from \"../Panic.sol\";\nimport {SafeCast} from \"./SafeCast.sol\";\n\n/**\n * @dev Standard math utilities missing in the Solidity language.\n */\nlibrary Math {\n    enum Rounding {\n        Floor, // Toward negative infinity\n        Ceil, // Toward positive infinity\n        Trunc, // Toward zero\n        Expand // Away from zero\n    }\n\n    /**\n     * @dev Return the 512-bit addition of two uint256.\n     *\n     * The result is stored in two 256 variables such that sum = high * 2²⁵⁶ + low.\n     */\n    function add512(uint256 a, uint256 b) internal pure returns (uint256 high, uint256 low) {\n        assembly (\"memory-safe\") {\n            low := add(a, b)\n            high := lt(low, a)\n        }\n    }\n\n    /**\n     * @dev Return the 512-bit multiplication of two uint256.\n     *\n     * The result is stored in two 256 variables such that product = high * 2²⁵⁶ + low.\n     */\n    function mul512(uint256 a, uint256 b) internal pure returns (uint256 high, uint256 low) {\n        // 512-bit multiply [high low] = x * y. Compute the product mod 2²⁵⁶ and mod 2²⁵⁶ - 1, then use\n        // the Chinese Remainder Theorem to reconstruct the 512 bit result. The result is stored in two 256\n        // variables such that product = high * 2²⁵⁶ + low.\n        assembly (\"memory-safe\") {\n            let mm := mulmod(a, b, not(0))\n            low := mul(a, b)\n            high := sub(sub(mm, low), lt(mm, low))\n        }\n    }\n\n    /**\n     * @dev Returns the addition of two unsigned integers, with a success flag (no overflow).\n     */\n    function tryAdd(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {\n        unchecked {\n            uint256 c = a + b;\n            success = c >= a;\n            result = c * SafeCast.toUint(success);\n        }\n    }\n\n    /**\n     * @dev Returns the subtraction of two unsigned integers, with a success flag (no overflow).\n     */\n    function trySub(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {\n        unchecked {\n            uint256 c = a - b;\n            success = c <= a;\n            result = c * SafeCast.toUint(success);\n        }\n    }\n\n    /**\n     * @dev Returns the multiplication of two unsigned integers, with a success flag (no overflow).\n     */\n    function tryMul(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {\n        unchecked {\n            uint256 c = a * b;\n            assembly (\"memory-safe\") {\n                // Only true when the multiplication doesn't overflow\n                // (c / a == b) || (a == 0)\n                success := or(eq(div(c, a), b), iszero(a))\n            }\n            // equivalent to: success ? c : 0\n            result = c * SafeCast.toUint(success);\n        }\n    }\n\n    /**\n     * @dev Returns the division of two unsigned integers, with a success flag (no division by zero).\n     */\n    function tryDiv(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {\n        unchecked {\n            success = b > 0;\n            assembly (\"memory-safe\") {\n                // The `DIV` opcode returns zero when the denominator is 0.\n                result := div(a, b)\n            }\n        }\n    }\n\n    /**\n     * @dev Returns the remainder of dividing two unsigned integers, with a success flag (no division by zero).\n     */\n    function tryMod(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {\n        unchecked {\n            success = b > 0;\n            assembly (\"memory-safe\") {\n                // The `MOD` opcode returns zero when the denominator is 0.\n                result := mod(a, b)\n            }\n        }\n    }\n\n    /**\n     * @dev Unsigned saturating addition, bounds to `2²⁵⁶ - 1` instead of overflowing.\n     */\n    function saturatingAdd(uint256 a, uint256 b) internal pure returns (uint256) {\n        (bool success, uint256 result) = tryAdd(a, b);\n        return ternary(success, result, type(uint256).max);\n    }\n\n    /**\n     * @dev Unsigned saturating subtraction, bounds to zero instead of overflowing.\n     */\n    function saturatingSub(uint256 a, uint256 b) internal pure returns (uint256) {\n        (, uint256 result) = trySub(a, b);\n        return result;\n    }\n\n    /**\n     * @dev Unsigned saturating multiplication, bounds to `2²⁵⁶ - 1` instead of overflowing.\n     */\n    function saturatingMul(uint256 a, uint256 b) internal pure returns (uint256) {\n        (bool success, uint256 result) = tryMul(a, b);\n        return ternary(success, result, type(uint256).max);\n    }\n\n    /**\n     * @dev Branchless ternary evaluation for `condition ? a : b`. Gas costs are constant.\n     *\n     * IMPORTANT: This function may reduce bytecode size and consume less gas when used standalone.\n     * However, the compiler may optimize Solidity ternary operations (i.e. `condition ? a : b`) to only compute\n     * one branch when needed, making this function more expensive.\n     */\n    function ternary(bool condition, uint256 a, uint256 b) internal pure returns (uint256) {\n        unchecked {\n            // branchless ternary works because:\n            // b ^ (a ^ b) == a\n            // b ^ 0 == b\n            return b ^ ((a ^ b) * SafeCast.toUint(condition));\n        }\n    }\n\n    /**\n     * @dev Returns the largest of two numbers.\n     */\n    function max(uint256 a, uint256 b) internal pure returns (uint256) {\n        return ternary(a > b, a, b);\n    }\n\n    /**\n     * @dev Returns the smallest of two numbers.\n     */\n    function min(uint256 a, uint256 b) internal pure returns (uint256) {\n        return ternary(a < b, a, b);\n    }\n\n    /**\n     * @dev Returns the average of two numbers. The result is rounded towards\n     * zero.\n     */\n    function average(uint256 a, uint256 b) internal pure returns (uint256) {\n        // (a + b) / 2 can overflow.\n        return (a & b) + (a ^ b) / 2;\n    }\n\n    /**\n     * @dev Returns the ceiling of the division of two numbers.\n     *\n     * This differs from standard division with `/` in that it rounds towards infinity instead\n     * of rounding towards zero.\n     */\n    function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) {\n        if (b == 0) {\n            // Guarantee the same behavior as in a regular Solidity division.\n            Panic.panic(Panic.DIVISION_BY_ZERO);\n        }\n\n        // The following calculation ensures accurate ceiling division without overflow.\n        // Since a is non-zero, (a - 1) / b will not overflow.\n        // The largest possible result occurs when (a - 1) / b is type(uint256).max,\n        // but the largest value we can obtain is type(uint256).max - 1, which happens\n        // when a = type(uint256).max and b = 1.\n        unchecked {\n            return SafeCast.toUint(a > 0) * ((a - 1) / b + 1);\n        }\n    }\n\n    /**\n     * @dev Calculates floor(x * y / denominator) with full precision. Throws if result overflows a uint256 or\n     * denominator == 0.\n     *\n     * Original credit to Remco Bloemen under MIT license (https://xn--2-umb.com/21/muldiv) with further edits by\n     * Uniswap Labs also under MIT license.\n     */\n    function mulDiv(uint256 x, uint256 y, uint256 denominator) internal pure returns (uint256 result) {\n        unchecked {\n            (uint256 high, uint256 low) = mul512(x, y);\n\n            // Handle non-overflow cases, 256 by 256 division.\n            if (high == 0) {\n                // Solidity will revert if denominator == 0, unlike the div opcode on its own.\n                // The surrounding unchecked block does not change this fact.\n                // See https://docs.soliditylang.org/en/latest/control-structures.html#checked-or-unchecked-arithmetic.\n                return low / denominator;\n            }\n\n            // Make sure the result is less than 2²⁵⁶. Also prevents denominator == 0.\n            if (denominator <= high) {\n                Panic.panic(ternary(denominator == 0, Panic.DIVISION_BY_ZERO, Panic.UNDER_OVERFLOW));\n            }\n\n            ///////////////////////////////////////////////\n            // 512 by 256 division.\n            ///////////////////////////////////////////////\n\n            // Make division exact by subtracting the remainder from [high low].\n            uint256 remainder;\n            assembly (\"memory-safe\") {\n                // Compute remainder using mulmod.\n                remainder := mulmod(x, y, denominator)\n\n                // Subtract 256 bit number from 512 bit number.\n                high := sub(high, gt(remainder, low))\n                low := sub(low, remainder)\n            }\n\n            // Factor powers of two out of denominator and compute largest power of two divisor of denominator.\n            // Always >= 1. See https://cs.stackexchange.com/q/138556/92363.\n\n            uint256 twos = denominator & (0 - denominator);\n            assembly (\"memory-safe\") {\n                // Divide denominator by twos.\n                denominator := div(denominator, twos)\n\n                // Divide [high low] by twos.\n                low := div(low, twos)\n\n                // Flip twos such that it is 2²⁵⁶ / twos. If twos is zero, then it becomes one.\n                twos := add(div(sub(0, twos), twos), 1)\n            }\n\n            // Shift in bits from high into low.\n            low |= high * twos;\n\n            // Invert denominator mod 2²⁵⁶. Now that denominator is an odd number, it has an inverse modulo 2²⁵⁶ such\n            // that denominator * inv ≡ 1 mod 2²⁵⁶. Compute the inverse by starting with a seed that is correct for\n            // four bits. That is, denominator * inv ≡ 1 mod 2⁴.\n            uint256 inverse = (3 * denominator) ^ 2;\n\n            // Use the Newton-Raphson iteration to improve the precision. Thanks to Hensel's lifting lemma, this also\n            // works in modular arithmetic, doubling the correct bits in each step.\n            inverse *= 2 - denominator * inverse; // inverse mod 2⁸\n            inverse *= 2 - denominator * inverse; // inverse mod 2¹⁶\n            inverse *= 2 - denominator * inverse; // inverse mod 2³²\n            inverse *= 2 - denominator * inverse; // inverse mod 2⁶⁴\n            inverse *= 2 - denominator * inverse; // inverse mod 2¹²⁸\n            inverse *= 2 - denominator * inverse; // inverse mod 2²⁵⁶\n\n            // Because the division is now exact we can divide by multiplying with the modular inverse of denominator.\n            // This will give us the correct result modulo 2²⁵⁶. Since the preconditions guarantee that the outcome is\n            // less than 2²⁵⁶, this is the final result. We don't need to compute the high bits of the result and high\n            // is no longer required.\n            result = low * inverse;\n            return result;\n        }\n    }\n\n    /**\n     * @dev Calculates x * y / denominator with full precision, following the selected rounding direction.\n     */\n    function mulDiv(uint256 x, uint256 y, uint256 denominator, Rounding rounding) internal pure returns (uint256) {\n        return mulDiv(x, y, denominator) + SafeCast.toUint(unsignedRoundsUp(rounding) && mulmod(x, y, denominator) > 0);\n    }\n\n    /**\n     * @dev Calculates floor(x * y >> n) with full precision. Throws if result overflows a uint256.\n     */\n    function mulShr(uint256 x, uint256 y, uint8 n) internal pure returns (uint256 result) {\n        unchecked {\n            (uint256 high, uint256 low) = mul512(x, y);\n            if (high >= 1 << n) {\n                Panic.panic(Panic.UNDER_OVERFLOW);\n            }\n            return (high << (256 - n)) | (low >> n);\n        }\n    }\n\n    /**\n     * @dev Calculates x * y >> n with full precision, following the selected rounding direction.\n     */\n    function mulShr(uint256 x, uint256 y, uint8 n, Rounding rounding) internal pure returns (uint256) {\n        return mulShr(x, y, n) + SafeCast.toUint(unsignedRoundsUp(rounding) && mulmod(x, y, 1 << n) > 0);\n    }\n\n    /**\n     * @dev Calculate the modular multiplicative inverse of a number in Z/nZ.\n     *\n     * If n is a prime, then Z/nZ is a field. In that case all elements are inversible, except 0.\n     * If n is not a prime, then Z/nZ is not a field, and some elements might not be inversible.\n     *\n     * If the input value is not inversible, 0 is returned.\n     *\n     * NOTE: If you know for sure that n is (big) a prime, it may be cheaper to use Fermat's little theorem and get the\n     * inverse using `Math.modExp(a, n - 2, n)`. See {invModPrime}.\n     */\n    function invMod(uint256 a, uint256 n) internal pure returns (uint256) {\n        unchecked {\n            if (n == 0) return 0;\n\n            // The inverse modulo is calculated using the Extended Euclidean Algorithm (iterative version)\n            // Used to compute integers x and y such that: ax + ny = gcd(a, n).\n            // When the gcd is 1, then the inverse of a modulo n exists and it's x.\n            // ax + ny = 1\n            // ax = 1 + (-y)n\n            // ax ≡ 1 (mod n) # x is the inverse of a modulo n\n\n            // If the remainder is 0 the gcd is n right away.\n            uint256 remainder = a % n;\n            uint256 gcd = n;\n\n            // Therefore the initial coefficients are:\n            // ax + ny = gcd(a, n) = n\n            // 0a + 1n = n\n            int256 x = 0;\n            int256 y = 1;\n\n            while (remainder != 0) {\n                uint256 quotient = gcd / remainder;\n\n                (gcd, remainder) = (\n                    // The old remainder is the next gcd to try.\n                    remainder,\n                    // Compute the next remainder.\n                    // Can't overflow given that (a % gcd) * (gcd // (a % gcd)) <= gcd\n                    // where gcd is at most n (capped to type(uint256).max)\n                    gcd - remainder * quotient\n                );\n\n                (x, y) = (\n                    // Increment the coefficient of a.\n                    y,\n                    // Decrement the coefficient of n.\n                    // Can overflow, but the result is casted to uint256 so that the\n                    // next value of y is \"wrapped around\" to a value between 0 and n - 1.\n                    x - y * int256(quotient)\n                );\n            }\n\n            if (gcd != 1) return 0; // No inverse exists.\n            return ternary(x < 0, n - uint256(-x), uint256(x)); // Wrap the result if it's negative.\n        }\n    }\n\n    /**\n     * @dev Variant of {invMod}. More efficient, but only works if `p` is known to be a prime greater than `2`.\n     *\n     * From https://en.wikipedia.org/wiki/Fermat%27s_little_theorem[Fermat's little theorem], we know that if p is\n     * prime, then `a**(p-1) ≡ 1 mod p`. As a consequence, we have `a * a**(p-2) ≡ 1 mod p`, which means that\n     * `a**(p-2)` is the modular multiplicative inverse of a in Fp.\n     *\n     * NOTE: this function does NOT check that `p` is a prime greater than `2`.\n     */\n    function invModPrime(uint256 a, uint256 p) internal view returns (uint256) {\n        unchecked {\n            return Math.modExp(a, p - 2, p);\n        }\n    }\n\n    /**\n     * @dev Returns the modular exponentiation of the specified base, exponent and modulus (b ** e % m)\n     *\n     * Requirements:\n     * - modulus can't be zero\n     * - underlying staticcall to precompile must succeed\n     *\n     * IMPORTANT: The result is only valid if the underlying call succeeds. When using this function, make\n     * sure the chain you're using it on supports the precompiled contract for modular exponentiation\n     * at address 0x05 as specified in https://eips.ethereum.org/EIPS/eip-198[EIP-198]. Otherwise,\n     * the underlying function will succeed given the lack of a revert, but the result may be incorrectly\n     * interpreted as 0.\n     */\n    function modExp(uint256 b, uint256 e, uint256 m) internal view returns (uint256) {\n        (bool success, uint256 result) = tryModExp(b, e, m);\n        if (!success) {\n            Panic.panic(Panic.DIVISION_BY_ZERO);\n        }\n        return result;\n    }\n\n    /**\n     * @dev Returns the modular exponentiation of the specified base, exponent and modulus (b ** e % m).\n     * It includes a success flag indicating if the operation succeeded. Operation will be marked as failed if trying\n     * to operate modulo 0 or if the underlying precompile reverted.\n     *\n     * IMPORTANT: The result is only valid if the success flag is true. When using this function, make sure the chain\n     * you're using it on supports the precompiled contract for modular exponentiation at address 0x05 as specified in\n     * https://eips.ethereum.org/EIPS/eip-198[EIP-198]. Otherwise, the underlying function will succeed given the lack\n     * of a revert, but the result may be incorrectly interpreted as 0.\n     */\n    function tryModExp(uint256 b, uint256 e, uint256 m) internal view returns (bool success, uint256 result) {\n        if (m == 0) return (false, 0);\n        assembly (\"memory-safe\") {\n            let ptr := mload(0x40)\n            // | Offset    | Content    | Content (Hex)                                                      |\n            // |-----------|------------|--------------------------------------------------------------------|\n            // | 0x00:0x1f | size of b  | 0x0000000000000000000000000000000000000000000000000000000000000020 |\n            // | 0x20:0x3f | size of e  | 0x0000000000000000000000000000000000000000000000000000000000000020 |\n            // | 0x40:0x5f | size of m  | 0x0000000000000000000000000000000000000000000000000000000000000020 |\n            // | 0x60:0x7f | value of b | 0x<.............................................................b> |\n            // | 0x80:0x9f | value of e | 0x<.............................................................e> |\n            // | 0xa0:0xbf | value of m | 0x<.............................................................m> |\n            mstore(ptr, 0x20)\n            mstore(add(ptr, 0x20), 0x20)\n            mstore(add(ptr, 0x40), 0x20)\n            mstore(add(ptr, 0x60), b)\n            mstore(add(ptr, 0x80), e)\n            mstore(add(ptr, 0xa0), m)\n\n            // Given the result < m, it's guaranteed to fit in 32 bytes,\n            // so we can use the memory scratch space located at offset 0.\n            success := staticcall(gas(), 0x05, ptr, 0xc0, 0x00, 0x20)\n            result := mload(0x00)\n        }\n    }\n\n    /**\n     * @dev Variant of {modExp} that supports inputs of arbitrary length.\n     */\n    function modExp(bytes memory b, bytes memory e, bytes memory m) internal view returns (bytes memory) {\n        (bool success, bytes memory result) = tryModExp(b, e, m);\n        if (!success) {\n            Panic.panic(Panic.DIVISION_BY_ZERO);\n        }\n        return result;\n    }\n\n    /**\n     * @dev Variant of {tryModExp} that supports inputs of arbitrary length.\n     */\n    function tryModExp(\n        bytes memory b,\n        bytes memory e,\n        bytes memory m\n    ) internal view returns (bool success, bytes memory result) {\n        if (_zeroBytes(m)) return (false, new bytes(0));\n\n        uint256 mLen = m.length;\n\n        // Encode call args in result and move the free memory pointer\n        result = abi.encodePacked(b.length, e.length, mLen, b, e, m);\n\n        assembly (\"memory-safe\") {\n            let dataPtr := add(result, 0x20)\n            // Write result on top of args to avoid allocating extra memory.\n            success := staticcall(gas(), 0x05, dataPtr, mload(result), dataPtr, mLen)\n            // Overwrite the length.\n            // result.length > returndatasize() is guaranteed because returndatasize() == m.length\n            mstore(result, mLen)\n            // Set the memory pointer after the returned data.\n            mstore(0x40, add(dataPtr, mLen))\n        }\n    }\n\n    /**\n     * @dev Returns whether the provided byte array is zero.\n     */\n    function _zeroBytes(bytes memory byteArray) private pure returns (bool) {\n        for (uint256 i = 0; i < byteArray.length; ++i) {\n            if (byteArray[i] != 0) {\n                return false;\n            }\n        }\n        return true;\n    }\n\n    /**\n     * @dev Returns the square root of a number. If the number is not a perfect square, the value is rounded\n     * towards zero.\n     *\n     * This method is based on Newton's method for computing square roots; the algorithm is restricted to only\n     * using integer operations.\n     */\n    function sqrt(uint256 a) internal pure returns (uint256) {\n        unchecked {\n            // Take care of easy edge cases when a == 0 or a == 1\n            if (a <= 1) {\n                return a;\n            }\n\n            // In this function, we use Newton's method to get a root of `f(x) := x² - a`. It involves building a\n            // sequence x_n that converges toward sqrt(a). For each iteration x_n, we also define the error between\n            // the current value as `ε_n = | x_n - sqrt(a) |`.\n            //\n            // For our first estimation, we consider `e` the smallest power of 2 which is bigger than the square root\n            // of the target. (i.e. `2**(e-1) ≤ sqrt(a) < 2**e`). We know that `e ≤ 128` because `(2¹²⁸)² = 2²⁵⁶` is\n            // bigger than any uint256.\n            //\n            // By noticing that\n            // `2**(e-1) ≤ sqrt(a) < 2**e → (2**(e-1))² ≤ a < (2**e)² → 2**(2*e-2) ≤ a < 2**(2*e)`\n            // we can deduce that `e - 1` is `log2(a) / 2`. We can thus compute `x_n = 2**(e-1)` using a method similar\n            // to the msb function.\n            uint256 aa = a;\n            uint256 xn = 1;\n\n            if (aa >= (1 << 128)) {\n                aa >>= 128;\n                xn <<= 64;\n            }\n            if (aa >= (1 << 64)) {\n                aa >>= 64;\n                xn <<= 32;\n            }\n            if (aa >= (1 << 32)) {\n                aa >>= 32;\n                xn <<= 16;\n            }\n            if (aa >= (1 << 16)) {\n                aa >>= 16;\n                xn <<= 8;\n            }\n            if (aa >= (1 << 8)) {\n                aa >>= 8;\n                xn <<= 4;\n            }\n            if (aa >= (1 << 4)) {\n                aa >>= 4;\n                xn <<= 2;\n            }\n            if (aa >= (1 << 2)) {\n                xn <<= 1;\n            }\n\n            // We now have x_n such that `x_n = 2**(e-1) ≤ sqrt(a) < 2**e = 2 * x_n`. This implies ε_n ≤ 2**(e-1).\n            //\n            // We can refine our estimation by noticing that the middle of that interval minimizes the error.\n            // If we move x_n to equal 2**(e-1) + 2**(e-2), then we reduce the error to ε_n ≤ 2**(e-2).\n            // This is going to be our x_0 (and ε_0)\n            xn = (3 * xn) >> 1; // ε_0 := | x_0 - sqrt(a) | ≤ 2**(e-2)\n\n            // From here, Newton's method give us:\n            // x_{n+1} = (x_n + a / x_n) / 2\n            //\n            // One should note that:\n            // x_{n+1}² - a = ((x_n + a / x_n) / 2)² - a\n            //              = ((x_n² + a) / (2 * x_n))² - a\n            //              = (x_n⁴ + 2 * a * x_n² + a²) / (4 * x_n²) - a\n            //              = (x_n⁴ + 2 * a * x_n² + a² - 4 * a * x_n²) / (4 * x_n²)\n            //              = (x_n⁴ - 2 * a * x_n² + a²) / (4 * x_n²)\n            //              = (x_n² - a)² / (2 * x_n)²\n            //              = ((x_n² - a) / (2 * x_n))²\n            //              ≥ 0\n            // Which proves that for all n ≥ 1, sqrt(a) ≤ x_n\n            //\n            // This gives us the proof of quadratic convergence of the sequence:\n            // ε_{n+1} = | x_{n+1} - sqrt(a) |\n            //         = | (x_n + a / x_n) / 2 - sqrt(a) |\n            //         = | (x_n² + a - 2*x_n*sqrt(a)) / (2 * x_n) |\n            //         = | (x_n - sqrt(a))² / (2 * x_n) |\n            //         = | ε_n² / (2 * x_n) |\n            //         = ε_n² / | (2 * x_n) |\n            //\n            // For the first iteration, we have a special case where x_0 is known:\n            // ε_1 = ε_0² / | (2 * x_0) |\n            //     ≤ (2**(e-2))² / (2 * (2**(e-1) + 2**(e-2)))\n            //     ≤ 2**(2*e-4) / (3 * 2**(e-1))\n            //     ≤ 2**(e-3) / 3\n            //     ≤ 2**(e-3-log2(3))\n            //     ≤ 2**(e-4.5)\n            //\n            // For the following iterations, we use the fact that, 2**(e-1) ≤ sqrt(a) ≤ x_n:\n            // ε_{n+1} = ε_n² / | (2 * x_n) |\n            //         ≤ (2**(e-k))² / (2 * 2**(e-1))\n            //         ≤ 2**(2*e-2*k) / 2**e\n            //         ≤ 2**(e-2*k)\n            xn = (xn + a / xn) >> 1; // ε_1 := | x_1 - sqrt(a) | ≤ 2**(e-4.5)  -- special case, see above\n            xn = (xn + a / xn) >> 1; // ε_2 := | x_2 - sqrt(a) | ≤ 2**(e-9)    -- general case with k = 4.5\n            xn = (xn + a / xn) >> 1; // ε_3 := | x_3 - sqrt(a) | ≤ 2**(e-18)   -- general case with k = 9\n            xn = (xn + a / xn) >> 1; // ε_4 := | x_4 - sqrt(a) | ≤ 2**(e-36)   -- general case with k = 18\n            xn = (xn + a / xn) >> 1; // ε_5 := | x_5 - sqrt(a) | ≤ 2**(e-72)   -- general case with k = 36\n            xn = (xn + a / xn) >> 1; // ε_6 := | x_6 - sqrt(a) | ≤ 2**(e-144)  -- general case with k = 72\n\n            // Because e ≤ 128 (as discussed during the first estimation phase), we know have reached a precision\n            // ε_6 ≤ 2**(e-144) < 1. Given we're operating on integers, then we can ensure that xn is now either\n            // sqrt(a) or sqrt(a) + 1.\n            return xn - SafeCast.toUint(xn > a / xn);\n        }\n    }\n\n    /**\n     * @dev Calculates sqrt(a), following the selected rounding direction.\n     */\n    function sqrt(uint256 a, Rounding rounding) internal pure returns (uint256) {\n        unchecked {\n            uint256 result = sqrt(a);\n            return result + SafeCast.toUint(unsignedRoundsUp(rounding) && result * result < a);\n        }\n    }\n\n    /**\n     * @dev Return the log in base 2 of a positive value rounded towards zero.\n     * Returns 0 if given 0.\n     */\n    function log2(uint256 x) internal pure returns (uint256 r) {\n        // If value has upper 128 bits set, log2 result is at least 128\n        r = SafeCast.toUint(x > 0xffffffffffffffffffffffffffffffff) << 7;\n        // If upper 64 bits of 128-bit half set, add 64 to result\n        r |= SafeCast.toUint((x >> r) > 0xffffffffffffffff) << 6;\n        // If upper 32 bits of 64-bit half set, add 32 to result\n        r |= SafeCast.toUint((x >> r) > 0xffffffff) << 5;\n        // If upper 16 bits of 32-bit half set, add 16 to result\n        r |= SafeCast.toUint((x >> r) > 0xffff) << 4;\n        // If upper 8 bits of 16-bit half set, add 8 to result\n        r |= SafeCast.toUint((x >> r) > 0xff) << 3;\n        // If upper 4 bits of 8-bit half set, add 4 to result\n        r |= SafeCast.toUint((x >> r) > 0xf) << 2;\n\n        // Shifts value right by the current result and use it as an index into this lookup table:\n        //\n        // | x (4 bits) |  index  | table[index] = MSB position |\n        // |------------|---------|-----------------------------|\n        // |    0000    |    0    |        table[0] = 0         |\n        // |    0001    |    1    |        table[1] = 0         |\n        // |    0010    |    2    |        table[2] = 1         |\n        // |    0011    |    3    |        table[3] = 1         |\n        // |    0100    |    4    |        table[4] = 2         |\n        // |    0101    |    5    |        table[5] = 2         |\n        // |    0110    |    6    |        table[6] = 2         |\n        // |    0111    |    7    |        table[7] = 2         |\n        // |    1000    |    8    |        table[8] = 3         |\n        // |    1001    |    9    |        table[9] = 3         |\n        // |    1010    |   10    |        table[10] = 3        |\n        // |    1011    |   11    |        table[11] = 3        |\n        // |    1100    |   12    |        table[12] = 3        |\n        // |    1101    |   13    |        table[13] = 3        |\n        // |    1110    |   14    |        table[14] = 3        |\n        // |    1111    |   15    |        table[15] = 3        |\n        //\n        // The lookup table is represented as a 32-byte value with the MSB positions for 0-15 in the last 16 bytes.\n        assembly (\"memory-safe\") {\n            r := or(r, byte(shr(r, x), 0x0000010102020202030303030303030300000000000000000000000000000000))\n        }\n    }\n\n    /**\n     * @dev Return the log in base 2, following the selected rounding direction, of a positive value.\n     * Returns 0 if given 0.\n     */\n    function log2(uint256 value, Rounding rounding) internal pure returns (uint256) {\n        unchecked {\n            uint256 result = log2(value);\n            return result + SafeCast.toUint(unsignedRoundsUp(rounding) && 1 << result < value);\n        }\n    }\n\n    /**\n     * @dev Return the log in base 10 of a positive value rounded towards zero.\n     * Returns 0 if given 0.\n     */\n    function log10(uint256 value) internal pure returns (uint256) {\n        uint256 result = 0;\n        unchecked {\n            if (value >= 10 ** 64) {\n                value /= 10 ** 64;\n                result += 64;\n            }\n            if (value >= 10 ** 32) {\n                value /= 10 ** 32;\n                result += 32;\n            }\n            if (value >= 10 ** 16) {\n                value /= 10 ** 16;\n                result += 16;\n            }\n            if (value >= 10 ** 8) {\n                value /= 10 ** 8;\n                result += 8;\n            }\n            if (value >= 10 ** 4) {\n                value /= 10 ** 4;\n                result += 4;\n            }\n            if (value >= 10 ** 2) {\n                value /= 10 ** 2;\n                result += 2;\n            }\n            if (value >= 10 ** 1) {\n                result += 1;\n            }\n        }\n        return result;\n    }\n\n    /**\n     * @dev Return the log in base 10, following the selected rounding direction, of a positive value.\n     * Returns 0 if given 0.\n     */\n    function log10(uint256 value, Rounding rounding) internal pure returns (uint256) {\n        unchecked {\n            uint256 result = log10(value);\n            return result + SafeCast.toUint(unsignedRoundsUp(rounding) && 10 ** result < value);\n        }\n    }\n\n    /**\n     * @dev Return the log in base 256 of a positive value rounded towards zero.\n     * Returns 0 if given 0.\n     *\n     * Adding one to the result gives the number of pairs of hex symbols needed to represent `value` as a hex string.\n     */\n    function log256(uint256 x) internal pure returns (uint256 r) {\n        // If value has upper 128 bits set, log2 result is at least 128\n        r = SafeCast.toUint(x > 0xffffffffffffffffffffffffffffffff) << 7;\n        // If upper 64 bits of 128-bit half set, add 64 to result\n        r |= SafeCast.toUint((x >> r) > 0xffffffffffffffff) << 6;\n        // If upper 32 bits of 64-bit half set, add 32 to result\n        r |= SafeCast.toUint((x >> r) > 0xffffffff) << 5;\n        // If upper 16 bits of 32-bit half set, add 16 to result\n        r |= SafeCast.toUint((x >> r) > 0xffff) << 4;\n        // Add 1 if upper 8 bits of 16-bit half set, and divide accumulated result by 8\n        return (r >> 3) | SafeCast.toUint((x >> r) > 0xff);\n    }\n\n    /**\n     * @dev Return the log in base 256, following the selected rounding direction, of a positive value.\n     * Returns 0 if given 0.\n     */\n    function log256(uint256 value, Rounding rounding) internal pure returns (uint256) {\n        unchecked {\n            uint256 result = log256(value);\n            return result + SafeCast.toUint(unsignedRoundsUp(rounding) && 1 << (result << 3) < value);\n        }\n    }\n\n    /**\n     * @dev Returns whether a provided rounding mode is considered rounding up for unsigned integers.\n     */\n    function unsignedRoundsUp(Rounding rounding) internal pure returns (bool) {\n        return uint8(rounding) % 2 == 1;\n    }\n\n    /**\n     * @dev Counts the number of leading zero bits in a uint256.\n     */\n    function clz(uint256 x) internal pure returns (uint256) {\n        return ternary(x == 0, 256, 255 - log2(x));\n    }\n}\n"},{"file_path":"dependencies/@openzeppelin-contracts-5.5.0/utils/math/SafeCast.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.1.0) (utils/math/SafeCast.sol)\n// This file was procedurally generated from scripts/generate/templates/SafeCast.js.\n\npragma solidity ^0.8.20;\n\n/**\n * @dev Wrappers over Solidity's uintXX/intXX/bool casting operators with added overflow\n * checks.\n *\n * Downcasting from uint256/int256 in Solidity does not revert on overflow. This can\n * easily result in undesired exploitation or bugs, since developers usually\n * assume that overflows raise errors. `SafeCast` restores this intuition by\n * reverting the transaction when such an operation overflows.\n *\n * Using this library instead of the unchecked operations eliminates an entire\n * class of bugs, so it's recommended to use it always.\n */\nlibrary SafeCast {\n    /**\n     * @dev Value doesn't fit in an uint of `bits` size.\n     */\n    error SafeCastOverflowedUintDowncast(uint8 bits, uint256 value);\n\n    /**\n     * @dev An int value doesn't fit in an uint of `bits` size.\n     */\n    error SafeCastOverflowedIntToUint(int256 value);\n\n    /**\n     * @dev Value doesn't fit in an int of `bits` size.\n     */\n    error SafeCastOverflowedIntDowncast(uint8 bits, int256 value);\n\n    /**\n     * @dev An uint value doesn't fit in an int of `bits` size.\n     */\n    error SafeCastOverflowedUintToInt(uint256 value);\n\n    /**\n     * @dev Returns the downcasted uint248 from uint256, reverting on\n     * overflow (when the input is greater than largest uint248).\n     *\n     * Counterpart to Solidity's `uint248` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 248 bits\n     */\n    function toUint248(uint256 value) internal pure returns (uint248) {\n        if (value > type(uint248).max) {\n            revert SafeCastOverflowedUintDowncast(248, value);\n        }\n        return uint248(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint240 from uint256, reverting on\n     * overflow (when the input is greater than largest uint240).\n     *\n     * Counterpart to Solidity's `uint240` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 240 bits\n     */\n    function toUint240(uint256 value) internal pure returns (uint240) {\n        if (value > type(uint240).max) {\n            revert SafeCastOverflowedUintDowncast(240, value);\n        }\n        return uint240(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint232 from uint256, reverting on\n     * overflow (when the input is greater than largest uint232).\n     *\n     * Counterpart to Solidity's `uint232` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 232 bits\n     */\n    function toUint232(uint256 value) internal pure returns (uint232) {\n        if (value > type(uint232).max) {\n            revert SafeCastOverflowedUintDowncast(232, value);\n        }\n        return uint232(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint224 from uint256, reverting on\n     * overflow (when the input is greater than largest uint224).\n     *\n     * Counterpart to Solidity's `uint224` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 224 bits\n     */\n    function toUint224(uint256 value) internal pure returns (uint224) {\n        if (value > type(uint224).max) {\n            revert SafeCastOverflowedUintDowncast(224, value);\n        }\n        return uint224(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint216 from uint256, reverting on\n     * overflow (when the input is greater than largest uint216).\n     *\n     * Counterpart to Solidity's `uint216` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 216 bits\n     */\n    function toUint216(uint256 value) internal pure returns (uint216) {\n        if (value > type(uint216).max) {\n            revert SafeCastOverflowedUintDowncast(216, value);\n        }\n        return uint216(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint208 from uint256, reverting on\n     * overflow (when the input is greater than largest uint208).\n     *\n     * Counterpart to Solidity's `uint208` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 208 bits\n     */\n    function toUint208(uint256 value) internal pure returns (uint208) {\n        if (value > type(uint208).max) {\n            revert SafeCastOverflowedUintDowncast(208, value);\n        }\n        return uint208(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint200 from uint256, reverting on\n     * overflow (when the input is greater than largest uint200).\n     *\n     * Counterpart to Solidity's `uint200` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 200 bits\n     */\n    function toUint200(uint256 value) internal pure returns (uint200) {\n        if (value > type(uint200).max) {\n            revert SafeCastOverflowedUintDowncast(200, value);\n        }\n        return uint200(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint192 from uint256, reverting on\n     * overflow (when the input is greater than largest uint192).\n     *\n     * Counterpart to Solidity's `uint192` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 192 bits\n     */\n    function toUint192(uint256 value) internal pure returns (uint192) {\n        if (value > type(uint192).max) {\n            revert SafeCastOverflowedUintDowncast(192, value);\n        }\n        return uint192(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint184 from uint256, reverting on\n     * overflow (when the input is greater than largest uint184).\n     *\n     * Counterpart to Solidity's `uint184` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 184 bits\n     */\n    function toUint184(uint256 value) internal pure returns (uint184) {\n        if (value > type(uint184).max) {\n            revert SafeCastOverflowedUintDowncast(184, value);\n        }\n        return uint184(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint176 from uint256, reverting on\n     * overflow (when the input is greater than largest uint176).\n     *\n     * Counterpart to Solidity's `uint176` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 176 bits\n     */\n    function toUint176(uint256 value) internal pure returns (uint176) {\n        if (value > type(uint176).max) {\n            revert SafeCastOverflowedUintDowncast(176, value);\n        }\n        return uint176(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint168 from uint256, reverting on\n     * overflow (when the input is greater than largest uint168).\n     *\n     * Counterpart to Solidity's `uint168` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 168 bits\n     */\n    function toUint168(uint256 value) internal pure returns (uint168) {\n        if (value > type(uint168).max) {\n            revert SafeCastOverflowedUintDowncast(168, value);\n        }\n        return uint168(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint160 from uint256, reverting on\n     * overflow (when the input is greater than largest uint160).\n     *\n     * Counterpart to Solidity's `uint160` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 160 bits\n     */\n    function toUint160(uint256 value) internal pure returns (uint160) {\n        if (value > type(uint160).max) {\n            revert SafeCastOverflowedUintDowncast(160, value);\n        }\n        return uint160(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint152 from uint256, reverting on\n     * overflow (when the input is greater than largest uint152).\n     *\n     * Counterpart to Solidity's `uint152` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 152 bits\n     */\n    function toUint152(uint256 value) internal pure returns (uint152) {\n        if (value > type(uint152).max) {\n            revert SafeCastOverflowedUintDowncast(152, value);\n        }\n        return uint152(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint144 from uint256, reverting on\n     * overflow (when the input is greater than largest uint144).\n     *\n     * Counterpart to Solidity's `uint144` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 144 bits\n     */\n    function toUint144(uint256 value) internal pure returns (uint144) {\n        if (value > type(uint144).max) {\n            revert SafeCastOverflowedUintDowncast(144, value);\n        }\n        return uint144(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint136 from uint256, reverting on\n     * overflow (when the input is greater than largest uint136).\n     *\n     * Counterpart to Solidity's `uint136` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 136 bits\n     */\n    function toUint136(uint256 value) internal pure returns (uint136) {\n        if (value > type(uint136).max) {\n            revert SafeCastOverflowedUintDowncast(136, value);\n        }\n        return uint136(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint128 from uint256, reverting on\n     * overflow (when the input is greater than largest uint128).\n     *\n     * Counterpart to Solidity's `uint128` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 128 bits\n     */\n    function toUint128(uint256 value) internal pure returns (uint128) {\n        if (value > type(uint128).max) {\n            revert SafeCastOverflowedUintDowncast(128, value);\n        }\n        return uint128(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint120 from uint256, reverting on\n     * overflow (when the input is greater than largest uint120).\n     *\n     * Counterpart to Solidity's `uint120` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 120 bits\n     */\n    function toUint120(uint256 value) internal pure returns (uint120) {\n        if (value > type(uint120).max) {\n            revert SafeCastOverflowedUintDowncast(120, value);\n        }\n        return uint120(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint112 from uint256, reverting on\n     * overflow (when the input is greater than largest uint112).\n     *\n     * Counterpart to Solidity's `uint112` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 112 bits\n     */\n    function toUint112(uint256 value) internal pure returns (uint112) {\n        if (value > type(uint112).max) {\n            revert SafeCastOverflowedUintDowncast(112, value);\n        }\n        return uint112(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint104 from uint256, reverting on\n     * overflow (when the input is greater than largest uint104).\n     *\n     * Counterpart to Solidity's `uint104` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 104 bits\n     */\n    function toUint104(uint256 value) internal pure returns (uint104) {\n        if (value > type(uint104).max) {\n            revert SafeCastOverflowedUintDowncast(104, value);\n        }\n        return uint104(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint96 from uint256, reverting on\n     * overflow (when the input is greater than largest uint96).\n     *\n     * Counterpart to Solidity's `uint96` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 96 bits\n     */\n    function toUint96(uint256 value) internal pure returns (uint96) {\n        if (value > type(uint96).max) {\n            revert SafeCastOverflowedUintDowncast(96, value);\n        }\n        return uint96(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint88 from uint256, reverting on\n     * overflow (when the input is greater than largest uint88).\n     *\n     * Counterpart to Solidity's `uint88` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 88 bits\n     */\n    function toUint88(uint256 value) internal pure returns (uint88) {\n        if (value > type(uint88).max) {\n            revert SafeCastOverflowedUintDowncast(88, value);\n        }\n        return uint88(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint80 from uint256, reverting on\n     * overflow (when the input is greater than largest uint80).\n     *\n     * Counterpart to Solidity's `uint80` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 80 bits\n     */\n    function toUint80(uint256 value) internal pure returns (uint80) {\n        if (value > type(uint80).max) {\n            revert SafeCastOverflowedUintDowncast(80, value);\n        }\n        return uint80(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint72 from uint256, reverting on\n     * overflow (when the input is greater than largest uint72).\n     *\n     * Counterpart to Solidity's `uint72` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 72 bits\n     */\n    function toUint72(uint256 value) internal pure returns (uint72) {\n        if (value > type(uint72).max) {\n            revert SafeCastOverflowedUintDowncast(72, value);\n        }\n        return uint72(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint64 from uint256, reverting on\n     * overflow (when the input is greater than largest uint64).\n     *\n     * Counterpart to Solidity's `uint64` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 64 bits\n     */\n    function toUint64(uint256 value) internal pure returns (uint64) {\n        if (value > type(uint64).max) {\n            revert SafeCastOverflowedUintDowncast(64, value);\n        }\n        return uint64(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint56 from uint256, reverting on\n     * overflow (when the input is greater than largest uint56).\n     *\n     * Counterpart to Solidity's `uint56` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 56 bits\n     */\n    function toUint56(uint256 value) internal pure returns (uint56) {\n        if (value > type(uint56).max) {\n            revert SafeCastOverflowedUintDowncast(56, value);\n        }\n        return uint56(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint48 from uint256, reverting on\n     * overflow (when the input is greater than largest uint48).\n     *\n     * Counterpart to Solidity's `uint48` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 48 bits\n     */\n    function toUint48(uint256 value) internal pure returns (uint48) {\n        if (value > type(uint48).max) {\n            revert SafeCastOverflowedUintDowncast(48, value);\n        }\n        return uint48(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint40 from uint256, reverting on\n     * overflow (when the input is greater than largest uint40).\n     *\n     * Counterpart to Solidity's `uint40` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 40 bits\n     */\n    function toUint40(uint256 value) internal pure returns (uint40) {\n        if (value > type(uint40).max) {\n            revert SafeCastOverflowedUintDowncast(40, value);\n        }\n        return uint40(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint32 from uint256, reverting on\n     * overflow (when the input is greater than largest uint32).\n     *\n     * Counterpart to Solidity's `uint32` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 32 bits\n     */\n    function toUint32(uint256 value) internal pure returns (uint32) {\n        if (value > type(uint32).max) {\n            revert SafeCastOverflowedUintDowncast(32, value);\n        }\n        return uint32(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint24 from uint256, reverting on\n     * overflow (when the input is greater than largest uint24).\n     *\n     * Counterpart to Solidity's `uint24` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 24 bits\n     */\n    function toUint24(uint256 value) internal pure returns (uint24) {\n        if (value > type(uint24).max) {\n            revert SafeCastOverflowedUintDowncast(24, value);\n        }\n        return uint24(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint16 from uint256, reverting on\n     * overflow (when the input is greater than largest uint16).\n     *\n     * Counterpart to Solidity's `uint16` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 16 bits\n     */\n    function toUint16(uint256 value) internal pure returns (uint16) {\n        if (value > type(uint16).max) {\n            revert SafeCastOverflowedUintDowncast(16, value);\n        }\n        return uint16(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint8 from uint256, reverting on\n     * overflow (when the input is greater than largest uint8).\n     *\n     * Counterpart to Solidity's `uint8` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 8 bits\n     */\n    function toUint8(uint256 value) internal pure returns (uint8) {\n        if (value > type(uint8).max) {\n            revert SafeCastOverflowedUintDowncast(8, value);\n        }\n        return uint8(value);\n    }\n\n    /**\n     * @dev Converts a signed int256 into an unsigned uint256.\n     *\n     * Requirements:\n     *\n     * - input must be greater than or equal to 0.\n     */\n    function toUint256(int256 value) internal pure returns (uint256) {\n        if (value < 0) {\n            revert SafeCastOverflowedIntToUint(value);\n        }\n        return uint256(value);\n    }\n\n    /**\n     * @dev Returns the downcasted int248 from int256, reverting on\n     * overflow (when the input is less than smallest int248 or\n     * greater than largest int248).\n     *\n     * Counterpart to Solidity's `int248` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 248 bits\n     */\n    function toInt248(int256 value) internal pure returns (int248 downcasted) {\n        downcasted = int248(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(248, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int240 from int256, reverting on\n     * overflow (when the input is less than smallest int240 or\n     * greater than largest int240).\n     *\n     * Counterpart to Solidity's `int240` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 240 bits\n     */\n    function toInt240(int256 value) internal pure returns (int240 downcasted) {\n        downcasted = int240(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(240, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int232 from int256, reverting on\n     * overflow (when the input is less than smallest int232 or\n     * greater than largest int232).\n     *\n     * Counterpart to Solidity's `int232` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 232 bits\n     */\n    function toInt232(int256 value) internal pure returns (int232 downcasted) {\n        downcasted = int232(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(232, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int224 from int256, reverting on\n     * overflow (when the input is less than smallest int224 or\n     * greater than largest int224).\n     *\n     * Counterpart to Solidity's `int224` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 224 bits\n     */\n    function toInt224(int256 value) internal pure returns (int224 downcasted) {\n        downcasted = int224(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(224, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int216 from int256, reverting on\n     * overflow (when the input is less than smallest int216 or\n     * greater than largest int216).\n     *\n     * Counterpart to Solidity's `int216` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 216 bits\n     */\n    function toInt216(int256 value) internal pure returns (int216 downcasted) {\n        downcasted = int216(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(216, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int208 from int256, reverting on\n     * overflow (when the input is less than smallest int208 or\n     * greater than largest int208).\n     *\n     * Counterpart to Solidity's `int208` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 208 bits\n     */\n    function toInt208(int256 value) internal pure returns (int208 downcasted) {\n        downcasted = int208(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(208, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int200 from int256, reverting on\n     * overflow (when the input is less than smallest int200 or\n     * greater than largest int200).\n     *\n     * Counterpart to Solidity's `int200` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 200 bits\n     */\n    function toInt200(int256 value) internal pure returns (int200 downcasted) {\n        downcasted = int200(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(200, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int192 from int256, reverting on\n     * overflow (when the input is less than smallest int192 or\n     * greater than largest int192).\n     *\n     * Counterpart to Solidity's `int192` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 192 bits\n     */\n    function toInt192(int256 value) internal pure returns (int192 downcasted) {\n        downcasted = int192(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(192, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int184 from int256, reverting on\n     * overflow (when the input is less than smallest int184 or\n     * greater than largest int184).\n     *\n     * Counterpart to Solidity's `int184` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 184 bits\n     */\n    function toInt184(int256 value) internal pure returns (int184 downcasted) {\n        downcasted = int184(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(184, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int176 from int256, reverting on\n     * overflow (when the input is less than smallest int176 or\n     * greater than largest int176).\n     *\n     * Counterpart to Solidity's `int176` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 176 bits\n     */\n    function toInt176(int256 value) internal pure returns (int176 downcasted) {\n        downcasted = int176(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(176, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int168 from int256, reverting on\n     * overflow (when the input is less than smallest int168 or\n     * greater than largest int168).\n     *\n     * Counterpart to Solidity's `int168` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 168 bits\n     */\n    function toInt168(int256 value) internal pure returns (int168 downcasted) {\n        downcasted = int168(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(168, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int160 from int256, reverting on\n     * overflow (when the input is less than smallest int160 or\n     * greater than largest int160).\n     *\n     * Counterpart to Solidity's `int160` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 160 bits\n     */\n    function toInt160(int256 value) internal pure returns (int160 downcasted) {\n        downcasted = int160(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(160, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int152 from int256, reverting on\n     * overflow (when the input is less than smallest int152 or\n     * greater than largest int152).\n     *\n     * Counterpart to Solidity's `int152` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 152 bits\n     */\n    function toInt152(int256 value) internal pure returns (int152 downcasted) {\n        downcasted = int152(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(152, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int144 from int256, reverting on\n     * overflow (when the input is less than smallest int144 or\n     * greater than largest int144).\n     *\n     * Counterpart to Solidity's `int144` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 144 bits\n     */\n    function toInt144(int256 value) internal pure returns (int144 downcasted) {\n        downcasted = int144(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(144, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int136 from int256, reverting on\n     * overflow (when the input is less than smallest int136 or\n     * greater than largest int136).\n     *\n     * Counterpart to Solidity's `int136` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 136 bits\n     */\n    function toInt136(int256 value) internal pure returns (int136 downcasted) {\n        downcasted = int136(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(136, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int128 from int256, reverting on\n     * overflow (when the input is less than smallest int128 or\n     * greater than largest int128).\n     *\n     * Counterpart to Solidity's `int128` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 128 bits\n     */\n    function toInt128(int256 value) internal pure returns (int128 downcasted) {\n        downcasted = int128(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(128, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int120 from int256, reverting on\n     * overflow (when the input is less than smallest int120 or\n     * greater than largest int120).\n     *\n     * Counterpart to Solidity's `int120` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 120 bits\n     */\n    function toInt120(int256 value) internal pure returns (int120 downcasted) {\n        downcasted = int120(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(120, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int112 from int256, reverting on\n     * overflow (when the input is less than smallest int112 or\n     * greater than largest int112).\n     *\n     * Counterpart to Solidity's `int112` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 112 bits\n     */\n    function toInt112(int256 value) internal pure returns (int112 downcasted) {\n        downcasted = int112(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(112, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int104 from int256, reverting on\n     * overflow (when the input is less than smallest int104 or\n     * greater than largest int104).\n     *\n     * Counterpart to Solidity's `int104` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 104 bits\n     */\n    function toInt104(int256 value) internal pure returns (int104 downcasted) {\n        downcasted = int104(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(104, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int96 from int256, reverting on\n     * overflow (when the input is less than smallest int96 or\n     * greater than largest int96).\n     *\n     * Counterpart to Solidity's `int96` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 96 bits\n     */\n    function toInt96(int256 value) internal pure returns (int96 downcasted) {\n        downcasted = int96(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(96, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int88 from int256, reverting on\n     * overflow (when the input is less than smallest int88 or\n     * greater than largest int88).\n     *\n     * Counterpart to Solidity's `int88` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 88 bits\n     */\n    function toInt88(int256 value) internal pure returns (int88 downcasted) {\n        downcasted = int88(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(88, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int80 from int256, reverting on\n     * overflow (when the input is less than smallest int80 or\n     * greater than largest int80).\n     *\n     * Counterpart to Solidity's `int80` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 80 bits\n     */\n    function toInt80(int256 value) internal pure returns (int80 downcasted) {\n        downcasted = int80(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(80, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int72 from int256, reverting on\n     * overflow (when the input is less than smallest int72 or\n     * greater than largest int72).\n     *\n     * Counterpart to Solidity's `int72` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 72 bits\n     */\n    function toInt72(int256 value) internal pure returns (int72 downcasted) {\n        downcasted = int72(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(72, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int64 from int256, reverting on\n     * overflow (when the input is less than smallest int64 or\n     * greater than largest int64).\n     *\n     * Counterpart to Solidity's `int64` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 64 bits\n     */\n    function toInt64(int256 value) internal pure returns (int64 downcasted) {\n        downcasted = int64(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(64, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int56 from int256, reverting on\n     * overflow (when the input is less than smallest int56 or\n     * greater than largest int56).\n     *\n     * Counterpart to Solidity's `int56` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 56 bits\n     */\n    function toInt56(int256 value) internal pure returns (int56 downcasted) {\n        downcasted = int56(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(56, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int48 from int256, reverting on\n     * overflow (when the input is less than smallest int48 or\n     * greater than largest int48).\n     *\n     * Counterpart to Solidity's `int48` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 48 bits\n     */\n    function toInt48(int256 value) internal pure returns (int48 downcasted) {\n        downcasted = int48(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(48, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int40 from int256, reverting on\n     * overflow (when the input is less than smallest int40 or\n     * greater than largest int40).\n     *\n     * Counterpart to Solidity's `int40` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 40 bits\n     */\n    function toInt40(int256 value) internal pure returns (int40 downcasted) {\n        downcasted = int40(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(40, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int32 from int256, reverting on\n     * overflow (when the input is less than smallest int32 or\n     * greater than largest int32).\n     *\n     * Counterpart to Solidity's `int32` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 32 bits\n     */\n    function toInt32(int256 value) internal pure returns (int32 downcasted) {\n        downcasted = int32(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(32, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int24 from int256, reverting on\n     * overflow (when the input is less than smallest int24 or\n     * greater than largest int24).\n     *\n     * Counterpart to Solidity's `int24` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 24 bits\n     */\n    function toInt24(int256 value) internal pure returns (int24 downcasted) {\n        downcasted = int24(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(24, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int16 from int256, reverting on\n     * overflow (when the input is less than smallest int16 or\n     * greater than largest int16).\n     *\n     * Counterpart to Solidity's `int16` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 16 bits\n     */\n    function toInt16(int256 value) internal pure returns (int16 downcasted) {\n        downcasted = int16(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(16, value);\n        }\n    }\n\n    /**\n     * @dev Returns the downcasted int8 from int256, reverting on\n     * overflow (when the input is less than smallest int8 or\n     * greater than largest int8).\n     *\n     * Counterpart to Solidity's `int8` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 8 bits\n     */\n    function toInt8(int256 value) internal pure returns (int8 downcasted) {\n        downcasted = int8(value);\n        if (downcasted != value) {\n            revert SafeCastOverflowedIntDowncast(8, value);\n        }\n    }\n\n    /**\n     * @dev Converts an unsigned uint256 into a signed int256.\n     *\n     * Requirements:\n     *\n     * - input must be less than or equal to maxInt256.\n     */\n    function toInt256(uint256 value) internal pure returns (int256) {\n        // Note: Unsafe cast below is okay because `type(int256).max` is guaranteed to be positive\n        if (value > uint256(type(int256).max)) {\n            revert SafeCastOverflowedUintToInt(value);\n        }\n        return int256(value);\n    }\n\n    /**\n     * @dev Cast a boolean (false or true) to a uint256 (0 or 1) with no jump.\n     */\n    function toUint(bool b) internal pure returns (uint256 u) {\n        assembly (\"memory-safe\") {\n            u := iszero(iszero(b))\n        }\n    }\n}\n"},{"file_path":"dependencies/@openzeppelin-contracts-5.5.0/utils/structs/EnumerableSet.sol","source_code":"// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v5.5.0) (utils/structs/EnumerableSet.sol)\n// This file was procedurally generated from scripts/generate/templates/EnumerableSet.js.\n\npragma solidity ^0.8.24;\n\nimport {Arrays} from \"../Arrays.sol\";\nimport {Math} from \"../math/Math.sol\";\n\n/**\n * @dev Library for managing\n * https://en.wikipedia.org/wiki/Set_(abstract_data_type)[sets] of primitive\n * types.\n *\n * Sets have the following properties:\n *\n * - Elements are added, removed, and checked for existence in constant time\n * (O(1)).\n * - Elements are enumerated in O(n). No guarantees are made on the ordering.\n * - Set can be cleared (all elements removed) in O(n).\n *\n * ```solidity\n * contract Example {\n *     // Add the library methods\n *     using EnumerableSet for EnumerableSet.AddressSet;\n *\n *     // Declare a set state variable\n *     EnumerableSet.AddressSet private mySet;\n * }\n * ```\n *\n * The following types are supported:\n *\n * - `bytes32` (`Bytes32Set`) since v3.3.0\n * - `address` (`AddressSet`) since v3.3.0\n * - `uint256` (`UintSet`) since v3.3.0\n * - `string` (`StringSet`) since v5.4.0\n * - `bytes` (`BytesSet`) since v5.4.0\n *\n * [WARNING]\n * ====\n * Trying to delete such a structure from storage will likely result in data corruption, rendering the structure\n * unusable.\n * See https://github.com/ethereum/solidity/pull/11843[ethereum/solidity#11843] for more info.\n *\n * In order to clean an EnumerableSet, you can either remove all elements one by one or create a fresh instance using an\n * array of EnumerableSet.\n * ====\n */\nlibrary EnumerableSet {\n    // To implement this library for multiple types with as little code\n    // repetition as possible, we write it in terms of a generic Set type with\n    // bytes32 values.\n    // The Set implementation uses private functions, and user-facing\n    // implementations (such as AddressSet) are just wrappers around the\n    // underlying Set.\n    // This means that we can only create new EnumerableSets for types that fit\n    // in bytes32.\n\n    struct Set {\n        // Storage of set values\n        bytes32[] _values;\n        // Position is the index of the value in the `values` array plus 1.\n        // Position 0 is used to mean a value is not in the set.\n        mapping(bytes32 value => uint256) _positions;\n    }\n\n    /**\n     * @dev Add a value to a set. O(1).\n     *\n     * Returns true if the value was added to the set, that is if it was not\n     * already present.\n     */\n    function _add(Set storage set, bytes32 value) private returns (bool) {\n        if (!_contains(set, value)) {\n            set._values.push(value);\n            // The value is stored at length-1, but we add 1 to all indexes\n            // and use 0 as a sentinel value\n            set._positions[value] = set._values.length;\n            return true;\n        } else {\n            return false;\n        }\n    }\n\n    /**\n     * @dev Removes a value from a set. O(1).\n     *\n     * Returns true if the value was removed from the set, that is if it was\n     * present.\n     */\n    function _remove(Set storage set, bytes32 value) private returns (bool) {\n        // We cache the value's position to prevent multiple reads from the same storage slot\n        uint256 position = set._positions[value];\n\n        if (position != 0) {\n            // Equivalent to contains(set, value)\n            // To delete an element from the _values array in O(1), we swap the element to delete with the last one in\n            // the array, and then remove the last element (sometimes called as 'swap and pop').\n            // This modifies the order of the array, as noted in {at}.\n\n            uint256 valueIndex = position - 1;\n            uint256 lastIndex = set._values.length - 1;\n\n            if (valueIndex != lastIndex) {\n                bytes32 lastValue = set._values[lastIndex];\n\n                // Move the lastValue to the index where the value to delete is\n                set._values[valueIndex] = lastValue;\n                // Update the tracked position of the lastValue (that was just moved)\n                set._positions[lastValue] = position;\n            }\n\n            // Delete the slot where the moved value was stored\n            set._values.pop();\n\n            // Delete the tracked position for the deleted slot\n            delete set._positions[value];\n\n            return true;\n        } else {\n            return false;\n        }\n    }\n\n    /**\n     * @dev Removes all the values from a set. O(n).\n     *\n     * WARNING: This function has an unbounded cost that scales with set size. Developers should keep in mind that\n     * using it may render the function uncallable if the set grows to the point where clearing it consumes too much\n     * gas to fit in a block.\n     */\n    function _clear(Set storage set) private {\n        uint256 len = _length(set);\n        for (uint256 i = 0; i < len; ++i) {\n            delete set._positions[set._values[i]];\n        }\n        Arrays.unsafeSetLength(set._values, 0);\n    }\n\n    /**\n     * @dev Returns true if the value is in the set. O(1).\n     */\n    function _contains(Set storage set, bytes32 value) private view returns (bool) {\n        return set._positions[value] != 0;\n    }\n\n    /**\n     * @dev Returns the number of values on the set. O(1).\n     */\n    function _length(Set storage set) private view returns (uint256) {\n        return set._values.length;\n    }\n\n    /**\n     * @dev Returns the value stored at position `index` in the set. O(1).\n     *\n     * Note that there are no guarantees on the ordering of values inside the\n     * array, and it may change when more values are added or removed.\n     *\n     * Requirements:\n     *\n     * - `index` must be strictly less than {length}.\n     */\n    function _at(Set storage set, uint256 index) private view returns (bytes32) {\n        return set._values[index];\n    }\n\n    /**\n     * @dev Return the entire set in an array\n     *\n     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed\n     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that\n     * this function has an unbounded cost, and using it as part of a state-changing function may render the function\n     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.\n     */\n    function _values(Set storage set) private view returns (bytes32[] memory) {\n        return set._values;\n    }\n\n    /**\n     * @dev Return a slice of the set in an array\n     *\n     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed\n     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that\n     * this function has an unbounded cost, and using it as part of a state-changing function may render the function\n     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.\n     */\n    function _values(Set storage set, uint256 start, uint256 end) private view returns (bytes32[] memory) {\n        unchecked {\n            end = Math.min(end, _length(set));\n            start = Math.min(start, end);\n\n            uint256 len = end - start;\n            bytes32[] memory result = new bytes32[](len);\n            for (uint256 i = 0; i < len; ++i) {\n                result[i] = Arrays.unsafeAccess(set._values, start + i).value;\n            }\n            return result;\n        }\n    }\n\n    // Bytes32Set\n\n    struct Bytes32Set {\n        Set _inner;\n    }\n\n    /**\n     * @dev Add a value to a set. O(1).\n     *\n     * Returns true if the value was added to the set, that is if it was not\n     * already present.\n     */\n    function add(Bytes32Set storage set, bytes32 value) internal returns (bool) {\n        return _add(set._inner, value);\n    }\n\n    /**\n     * @dev Removes a value from a set. O(1).\n     *\n     * Returns true if the value was removed from the set, that is if it was\n     * present.\n     */\n    function remove(Bytes32Set storage set, bytes32 value) internal returns (bool) {\n        return _remove(set._inner, value);\n    }\n\n    /**\n     * @dev Removes all the values from a set. O(n).\n     *\n     * WARNING: Developers should keep in mind that this function has an unbounded cost and using it may render the\n     * function uncallable if the set grows to the point where clearing it consumes too much gas to fit in a block.\n     */\n    function clear(Bytes32Set storage set) internal {\n        _clear(set._inner);\n    }\n\n    /**\n     * @dev Returns true if the value is in the set. O(1).\n     */\n    function contains(Bytes32Set storage set, bytes32 value) internal view returns (bool) {\n        return _contains(set._inner, value);\n    }\n\n    /**\n     * @dev Returns the number of values in the set. O(1).\n     */\n    function length(Bytes32Set storage set) internal view returns (uint256) {\n        return _length(set._inner);\n    }\n\n    /**\n     * @dev Returns the value stored at position `index` in the set. O(1).\n     *\n     * Note that there are no guarantees on the ordering of values inside the\n     * array, and it may change when more values are added or removed.\n     *\n     * Requirements:\n     *\n     * - `index` must be strictly less than {length}.\n     */\n    function at(Bytes32Set storage set, uint256 index) internal view returns (bytes32) {\n        return _at(set._inner, index);\n    }\n\n    /**\n     * @dev Return the entire set in an array\n     *\n     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed\n     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that\n     * this function has an unbounded cost, and using it as part of a state-changing function may render the function\n     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.\n     */\n    function values(Bytes32Set storage set) internal view returns (bytes32[] memory) {\n        bytes32[] memory store = _values(set._inner);\n        bytes32[] memory result;\n\n        assembly (\"memory-safe\") {\n            result := store\n        }\n\n        return result;\n    }\n\n    /**\n     * @dev Return a slice of the set in an array\n     *\n     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed\n     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that\n     * this function has an unbounded cost, and using it as part of a state-changing function may render the function\n     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.\n     */\n    function values(Bytes32Set storage set, uint256 start, uint256 end) internal view returns (bytes32[] memory) {\n        bytes32[] memory store = _values(set._inner, start, end);\n        bytes32[] memory result;\n\n        assembly (\"memory-safe\") {\n            result := store\n        }\n\n        return result;\n    }\n\n    // AddressSet\n\n    struct AddressSet {\n        Set _inner;\n    }\n\n    /**\n     * @dev Add a value to a set. O(1).\n     *\n     * Returns true if the value was added to the set, that is if it was not\n     * already present.\n     */\n    function add(AddressSet storage set, address value) internal returns (bool) {\n        return _add(set._inner, bytes32(uint256(uint160(value))));\n    }\n\n    /**\n     * @dev Removes a value from a set. O(1).\n     *\n     * Returns true if the value was removed from the set, that is if it was\n     * present.\n     */\n    function remove(AddressSet storage set, address value) internal returns (bool) {\n        return _remove(set._inner, bytes32(uint256(uint160(value))));\n    }\n\n    /**\n     * @dev Removes all the values from a set. O(n).\n     *\n     * WARNING: Developers should keep in mind that this function has an unbounded cost and using it may render the\n     * function uncallable if the set grows to the point where clearing it consumes too much gas to fit in a block.\n     */\n    function clear(AddressSet storage set) internal {\n        _clear(set._inner);\n    }\n\n    /**\n     * @dev Returns true if the value is in the set. O(1).\n     */\n    function contains(AddressSet storage set, address value) internal view returns (bool) {\n        return _contains(set._inner, bytes32(uint256(uint160(value))));\n    }\n\n    /**\n     * @dev Returns the number of values in the set. O(1).\n     */\n    function length(AddressSet storage set) internal view returns (uint256) {\n        return _length(set._inner);\n    }\n\n    /**\n     * @dev Returns the value stored at position `index` in the set. O(1).\n     *\n     * Note that there are no guarantees on the ordering of values inside the\n     * array, and it may change when more values are added or removed.\n     *\n     * Requirements:\n     *\n     * - `index` must be strictly less than {length}.\n     */\n    function at(AddressSet storage set, uint256 index) internal view returns (address) {\n        return address(uint160(uint256(_at(set._inner, index))));\n    }\n\n    /**\n     * @dev Return the entire set in an array\n     *\n     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed\n     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that\n     * this function has an unbounded cost, and using it as part of a state-changing function may render the function\n     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.\n     */\n    function values(AddressSet storage set) internal view returns (address[] memory) {\n        bytes32[] memory store = _values(set._inner);\n        address[] memory result;\n\n        assembly (\"memory-safe\") {\n            result := store\n        }\n\n        return result;\n    }\n\n    /**\n     * @dev Return a slice of the set in an array\n     *\n     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed\n     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that\n     * this function has an unbounded cost, and using it as part of a state-changing function may render the function\n     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.\n     */\n    function values(AddressSet storage set, uint256 start, uint256 end) internal view returns (address[] memory) {\n        bytes32[] memory store = _values(set._inner, start, end);\n        address[] memory result;\n\n        assembly (\"memory-safe\") {\n            result := store\n        }\n\n        return result;\n    }\n\n    // UintSet\n\n    struct UintSet {\n        Set _inner;\n    }\n\n    /**\n     * @dev Add a value to a set. O(1).\n     *\n     * Returns true if the value was added to the set, that is if it was not\n     * already present.\n     */\n    function add(UintSet storage set, uint256 value) internal returns (bool) {\n        return _add(set._inner, bytes32(value));\n    }\n\n    /**\n     * @dev Removes a value from a set. O(1).\n     *\n     * Returns true if the value was removed from the set, that is if it was\n     * present.\n     */\n    function remove(UintSet storage set, uint256 value) internal returns (bool) {\n        return _remove(set._inner, bytes32(value));\n    }\n\n    /**\n     * @dev Removes all the values from a set. O(n).\n     *\n     * WARNING: Developers should keep in mind that this function has an unbounded cost and using it may render the\n     * function uncallable if the set grows to the point where clearing it consumes too much gas to fit in a block.\n     */\n    function clear(UintSet storage set) internal {\n        _clear(set._inner);\n    }\n\n    /**\n     * @dev Returns true if the value is in the set. O(1).\n     */\n    function contains(UintSet storage set, uint256 value) internal view returns (bool) {\n        return _contains(set._inner, bytes32(value));\n    }\n\n    /**\n     * @dev Returns the number of values in the set. O(1).\n     */\n    function length(UintSet storage set) internal view returns (uint256) {\n        return _length(set._inner);\n    }\n\n    /**\n     * @dev Returns the value stored at position `index` in the set. O(1).\n     *\n     * Note that there are no guarantees on the ordering of values inside the\n     * array, and it may change when more values are added or removed.\n     *\n     * Requirements:\n     *\n     * - `index` must be strictly less than {length}.\n     */\n    function at(UintSet storage set, uint256 index) internal view returns (uint256) {\n        return uint256(_at(set._inner, index));\n    }\n\n    /**\n     * @dev Return the entire set in an array\n     *\n     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed\n     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that\n     * this function has an unbounded cost, and using it as part of a state-changing function may render the function\n     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.\n     */\n    function values(UintSet storage set) internal view returns (uint256[] memory) {\n        bytes32[] memory store = _values(set._inner);\n        uint256[] memory result;\n\n        assembly (\"memory-safe\") {\n            result := store\n        }\n\n        return result;\n    }\n\n    /**\n     * @dev Return a slice of the set in an array\n     *\n     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed\n     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that\n     * this function has an unbounded cost, and using it as part of a state-changing function may render the function\n     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.\n     */\n    function values(UintSet storage set, uint256 start, uint256 end) internal view returns (uint256[] memory) {\n        bytes32[] memory store = _values(set._inner, start, end);\n        uint256[] memory result;\n\n        assembly (\"memory-safe\") {\n            result := store\n        }\n\n        return result;\n    }\n\n    struct StringSet {\n        // Storage of set values\n        string[] _values;\n        // Position is the index of the value in the `values` array plus 1.\n        // Position 0 is used to mean a value is not in the set.\n        mapping(string value => uint256) _positions;\n    }\n\n    /**\n     * @dev Add a value to a set. O(1).\n     *\n     * Returns true if the value was added to the set, that is if it was not\n     * already present.\n     */\n    function add(StringSet storage set, string memory value) internal returns (bool) {\n        if (!contains(set, value)) {\n            set._values.push(value);\n            // The value is stored at length-1, but we add 1 to all indexes\n            // and use 0 as a sentinel value\n            set._positions[value] = set._values.length;\n            return true;\n        } else {\n            return false;\n        }\n    }\n\n    /**\n     * @dev Removes a value from a set. O(1).\n     *\n     * Returns true if the value was removed from the set, that is if it was\n     * present.\n     */\n    function remove(StringSet storage set, string memory value) internal returns (bool) {\n        // We cache the value's position to prevent multiple reads from the same storage slot\n        uint256 position = set._positions[value];\n\n        if (position != 0) {\n            // Equivalent to contains(set, value)\n            // To delete an element from the _values array in O(1), we swap the element to delete with the last one in\n            // the array, and then remove the last element (sometimes called as 'swap and pop').\n            // This modifies the order of the array, as noted in {at}.\n\n            uint256 valueIndex = position - 1;\n            uint256 lastIndex = set._values.length - 1;\n\n            if (valueIndex != lastIndex) {\n                string memory lastValue = set._values[lastIndex];\n\n                // Move the lastValue to the index where the value to delete is\n                set._values[valueIndex] = lastValue;\n                // Update the tracked position of the lastValue (that was just moved)\n                set._positions[lastValue] = position;\n            }\n\n            // Delete the slot where the moved value was stored\n            set._values.pop();\n\n            // Delete the tracked position for the deleted slot\n            delete set._positions[value];\n\n            return true;\n        } else {\n            return false;\n        }\n    }\n\n    /**\n     * @dev Removes all the values from a set. O(n).\n     *\n     * WARNING: Developers should keep in mind that this function has an unbounded cost and using it may render the\n     * function uncallable if the set grows to the point where clearing it consumes too much gas to fit in a block.\n     */\n    function clear(StringSet storage set) internal {\n        uint256 len = length(set);\n        for (uint256 i = 0; i < len; ++i) {\n            delete set._positions[set._values[i]];\n        }\n        Arrays.unsafeSetLength(set._values, 0);\n    }\n\n    /**\n     * @dev Returns true if the value is in the set. O(1).\n     */\n    function contains(StringSet storage set, string memory value) internal view returns (bool) {\n        return set._positions[value] != 0;\n    }\n\n    /**\n     * @dev Returns the number of values on the set. O(1).\n     */\n    function length(StringSet storage set) internal view returns (uint256) {\n        return set._values.length;\n    }\n\n    /**\n     * @dev Returns the value stored at position `index` in the set. O(1).\n     *\n     * Note that there are no guarantees on the ordering of values inside the\n     * array, and it may change when more values are added or removed.\n     *\n     * Requirements:\n     *\n     * - `index` must be strictly less than {length}.\n     */\n    function at(StringSet storage set, uint256 index) internal view returns (string memory) {\n        return set._values[index];\n    }\n\n    /**\n     * @dev Return the entire set in an array\n     *\n     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed\n     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that\n     * this function has an unbounded cost, and using it as part of a state-changing function may render the function\n     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.\n     */\n    function values(StringSet storage set) internal view returns (string[] memory) {\n        return set._values;\n    }\n\n    /**\n     * @dev Return a slice of the set in an array\n     *\n     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed\n     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that\n     * this function has an unbounded cost, and using it as part of a state-changing function may render the function\n     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.\n     */\n    function values(StringSet storage set, uint256 start, uint256 end) internal view returns (string[] memory) {\n        unchecked {\n            end = Math.min(end, length(set));\n            start = Math.min(start, end);\n\n            uint256 len = end - start;\n            string[] memory result = new string[](len);\n            for (uint256 i = 0; i < len; ++i) {\n                result[i] = Arrays.unsafeAccess(set._values, start + i).value;\n            }\n            return result;\n        }\n    }\n\n    struct BytesSet {\n        // Storage of set values\n        bytes[] _values;\n        // Position is the index of the value in the `values` array plus 1.\n        // Position 0 is used to mean a value is not in the set.\n        mapping(bytes value => uint256) _positions;\n    }\n\n    /**\n     * @dev Add a value to a set. O(1).\n     *\n     * Returns true if the value was added to the set, that is if it was not\n     * already present.\n     */\n    function add(BytesSet storage set, bytes memory value) internal returns (bool) {\n        if (!contains(set, value)) {\n            set._values.push(value);\n            // The value is stored at length-1, but we add 1 to all indexes\n            // and use 0 as a sentinel value\n            set._positions[value] = set._values.length;\n            return true;\n        } else {\n            return false;\n        }\n    }\n\n    /**\n     * @dev Removes a value from a set. O(1).\n     *\n     * Returns true if the value was removed from the set, that is if it was\n     * present.\n     */\n    function remove(BytesSet storage set, bytes memory value) internal returns (bool) {\n        // We cache the value's position to prevent multiple reads from the same storage slot\n        uint256 position = set._positions[value];\n\n        if (position != 0) {\n            // Equivalent to contains(set, value)\n            // To delete an element from the _values array in O(1), we swap the element to delete with the last one in\n            // the array, and then remove the last element (sometimes called as 'swap and pop').\n            // This modifies the order of the array, as noted in {at}.\n\n            uint256 valueIndex = position - 1;\n            uint256 lastIndex = set._values.length - 1;\n\n            if (valueIndex != lastIndex) {\n                bytes memory lastValue = set._values[lastIndex];\n\n                // Move the lastValue to the index where the value to delete is\n                set._values[valueIndex] = lastValue;\n                // Update the tracked position of the lastValue (that was just moved)\n                set._positions[lastValue] = position;\n            }\n\n            // Delete the slot where the moved value was stored\n            set._values.pop();\n\n            // Delete the tracked position for the deleted slot\n            delete set._positions[value];\n\n            return true;\n        } else {\n            return false;\n        }\n    }\n\n    /**\n     * @dev Removes all the values from a set. O(n).\n     *\n     * WARNING: Developers should keep in mind that this function has an unbounded cost and using it may render the\n     * function uncallable if the set grows to the point where clearing it consumes too much gas to fit in a block.\n     */\n    function clear(BytesSet storage set) internal {\n        uint256 len = length(set);\n        for (uint256 i = 0; i < len; ++i) {\n            delete set._positions[set._values[i]];\n        }\n        Arrays.unsafeSetLength(set._values, 0);\n    }\n\n    /**\n     * @dev Returns true if the value is in the set. O(1).\n     */\n    function contains(BytesSet storage set, bytes memory value) internal view returns (bool) {\n        return set._positions[value] != 0;\n    }\n\n    /**\n     * @dev Returns the number of values on the set. O(1).\n     */\n    function length(BytesSet storage set) internal view returns (uint256) {\n        return set._values.length;\n    }\n\n    /**\n     * @dev Returns the value stored at position `index` in the set. O(1).\n     *\n     * Note that there are no guarantees on the ordering of values inside the\n     * array, and it may change when more values are added or removed.\n     *\n     * Requirements:\n     *\n     * - `index` must be strictly less than {length}.\n     */\n    function at(BytesSet storage set, uint256 index) internal view returns (bytes memory) {\n        return set._values[index];\n    }\n\n    /**\n     * @dev Return the entire set in an array\n     *\n     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed\n     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that\n     * this function has an unbounded cost, and using it as part of a state-changing function may render the function\n     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.\n     */\n    function values(BytesSet storage set) internal view returns (bytes[] memory) {\n        return set._values;\n    }\n\n    /**\n     * @dev Return a slice of the set in an array\n     *\n     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed\n     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that\n     * this function has an unbounded cost, and using it as part of a state-changing function may render the function\n     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.\n     */\n    function values(BytesSet storage set, uint256 start, uint256 end) internal view returns (bytes[] memory) {\n        unchecked {\n            end = Math.min(end, length(set));\n            start = Math.min(start, end);\n\n            uint256 len = end - start;\n            bytes[] memory result = new bytes[](len);\n            for (uint256 i = 0; i < len; ++i) {\n                result[i] = Arrays.unsafeAccess(set._values, start + i).value;\n            }\n            return result;\n        }\n    }\n}\n"},{"file_path":"src/errors/InvalidAddress.sol","source_code":"// SPDX-License-Identifier: MIT\npragma solidity 0.8.30;\n\n/**\n * @title EInvalidAddress\n * @notice Interface for the InvalidAddress error\n */\ninterface EInvalidAddress {\n    /**\n     * @notice Error thrown when a zero address is provided where it's not allowed\n     */\n    error InvalidAddress(string param);\n}\n"},{"file_path":"src/interfaces/IAddressList.sol","source_code":"// SPDX-License-Identifier: UNLICENSED\npragma solidity 0.8.30;\n\n/**\n * @title IAddressList\n * @notice Interface for central address list management in the Apyx protocol\n * @dev Provides a single source of truth for blocked/allowed addresses across all Apyx contracts\n */\ninterface IAddressList {\n    /**\n     * @notice Emitted when an address is added to the list\n     * @param user Address that was added\n     */\n    event Added(address indexed user);\n\n    /**\n     * @notice Emitted when an address is removed from the list\n     * @param user Address that was removed\n     */\n    event Removed(address indexed user);\n\n    /**\n     * @notice Adds an address to the list\n     * @param user Address to add\n     */\n    function add(address user) external;\n\n    /**\n     * @notice Removes an address from the list\n     * @param user Address to remove\n     */\n    function remove(address user) external;\n\n    /**\n     * @notice Checks if an address is in the list\n     * @param user Address to check\n     * @return True if address is in the list, false otherwise\n     */\n    function contains(address user) external view returns (bool);\n\n    /**\n     * @notice Returns the number of addresses in the list\n     * @return Number of addresses\n     */\n    function length() external view returns (uint256);\n\n    /**\n     * @notice Returns the address at the given index\n     * @param index Index of the address to retrieve\n     * @return Address at the given index\n     */\n    function at(uint256 index) external view returns (address);\n}\n"}],"certified":false,"conflicting_implementations":null,"abi":[{"inputs":[{"internalType":"address","name":"initialAuthority","type":"address"}],"stateMutability":"nonpayable","type":"constructor"},{"inputs":[{"internalType":"address","name":"authority","type":"address"}],"name":"AccessManagedInvalidAuthority","type":"error"},{"inputs":[{"internalType":"address","name":"caller","type":"address"},{"internalType":"uint32","name":"delay","type":"uint32"}],"name":"AccessManagedRequiredDelay","type":"error"},{"inputs":[{"internalType":"address","name":"caller","type":"address"}],"name":"AccessManagedUnauthorized","type":"error"},{"inputs":[{"internalType":"string","name":"param","type":"string"}],"name":"InvalidAddress","type":"error"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"user","type":"address"}],"name":"Added","type":"event"},{"anonymous":false,"inputs":[{"indexed":false,"internalType":"address","name":"authority","type":"address"}],"name":"AuthorityUpdated","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"user","type":"address"}],"name":"Removed","type":"event"},{"inputs":[{"internalType":"address","name":"user","type":"address"}],"name":"add","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"uint256","name":"index","type":"uint256"}],"name":"at","outputs":[{"internalType":"address","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"authority","outputs":[{"internalType":"address","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"user","type":"address"}],"name":"contains","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"isConsumingScheduledOp","outputs":[{"internalType":"bytes4","name":"","type":"bytes4"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"length","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"user","type":"address"}],"name":"remove","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"newAuthority","type":"address"}],"name":"setAuthority","outputs":[],"stateMutability":"nonpayable","type":"function"}],"is_changed_bytecode":false,"is_partially_verified":false,"constructor_args":"0x000000000000000000000000e167330e2eac88666de253e9607c6d9ae0ca2824"}