// File: @openzeppelin/contracts-upgradeable/access/AccessControlUpgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (access/AccessControl.sol)

pragma solidity ^0.8.0;

import "./IAccessControlUpgradeable.sol";
import "../utils/ContextUpgradeable.sol";
import "../utils/StringsUpgradeable.sol";
import "../utils/introspection/ERC165Upgradeable.sol";
import "../proxy/utils/Initializable.sol";

/**
 * @dev Contract module that allows children to implement role-based access
 * control mechanisms. This is a lightweight version that doesn't allow enumerating role
 * members except through off-chain means by accessing the contract event logs. Some
 * applications may benefit from on-chain enumerability, for those cases see
 * {AccessControlEnumerable}.
 *
 * Roles are referred to by their `bytes32` identifier. These should be exposed
 * in the external API and be unique. The best way to achieve this is by
 * using `public constant` hash digests:
 *
 * ```
 * bytes32 public constant MY_ROLE = keccak256("MY_ROLE");
 * ```
 *
 * Roles can be used to represent a set of permissions. To restrict access to a
 * function call, use {hasRole}:
 *
 * ```
 * function foo() public {
 *     require(hasRole(MY_ROLE, msg.sender));
 *     ...
 * }
 * ```
 *
 * Roles can be granted and revoked dynamically via the {grantRole} and
 * {revokeRole} functions. Each role has an associated admin role, and only
 * accounts that have a role's admin role can call {grantRole} and {revokeRole}.
 *
 * By default, the admin role for all roles is `DEFAULT_ADMIN_ROLE`, which means
 * that only accounts with this role will be able to grant or revoke other
 * roles. More complex role relationships can be created by using
 * {_setRoleAdmin}.
 *
 * WARNING: The `DEFAULT_ADMIN_ROLE` is also its own admin: it has permission to
 * grant and revoke this role. Extra precautions should be taken to secure
 * accounts that have been granted it.
 */
abstract contract AccessControlUpgradeable is Initializable, ContextUpgradeable, IAccessControlUpgradeable, ERC165Upgradeable {
    function __AccessControl_init() internal onlyInitializing {
    }

    function __AccessControl_init_unchained() internal onlyInitializing {
    }
    struct RoleData {
        mapping(address => bool) members;
        bytes32 adminRole;
    }

    mapping(bytes32 => RoleData) private _roles;

    bytes32 public constant DEFAULT_ADMIN_ROLE = 0x00;

    /**
     * @dev Modifier that checks that an account has a specific role. Reverts
     * with a standardized message including the required role.
     *
     * The format of the revert reason is given by the following regular expression:
     *
     *  /^AccessControl: account (0x[0-9a-f]{40}) is missing role (0x[0-9a-f]{64})$/
     *
     * _Available since v4.1._
     */
    modifier onlyRole(bytes32 role) {
        _checkRole(role);
        _;
    }

    /**
     * @dev See {IERC165-supportsInterface}.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
        return interfaceId == type(IAccessControlUpgradeable).interfaceId || super.supportsInterface(interfaceId);
    }

    /**
     * @dev Returns `true` if `account` has been granted `role`.
     */
    function hasRole(bytes32 role, address account) public view virtual override returns (bool) {
        return _roles[role].members[account];
    }

    /**
     * @dev Revert with a standard message if `_msgSender()` is missing `role`.
     * Overriding this function changes the behavior of the {onlyRole} modifier.
     *
     * Format of the revert message is described in {_checkRole}.
     *
     * _Available since v4.6._
     */
    function _checkRole(bytes32 role) internal view virtual {
        _checkRole(role, _msgSender());
    }

    /**
     * @dev Revert with a standard message if `account` is missing `role`.
     *
     * The format of the revert reason is given by the following regular expression:
     *
     *  /^AccessControl: account (0x[0-9a-f]{40}) is missing role (0x[0-9a-f]{64})$/
     */
    function _checkRole(bytes32 role, address account) internal view virtual {
        if (!hasRole(role, account)) {
            revert(
                string(
                    abi.encodePacked(
                        "AccessControl: account ",
                        StringsUpgradeable.toHexString(account),
                        " is missing role ",
                        StringsUpgradeable.toHexString(uint256(role), 32)
                    )
                )
            );
        }
    }

    /**
     * @dev Returns the admin role that controls `role`. See {grantRole} and
     * {revokeRole}.
     *
     * To change a role's admin, use {_setRoleAdmin}.
     */
    function getRoleAdmin(bytes32 role) public view virtual override returns (bytes32) {
        return _roles[role].adminRole;
    }

    /**
     * @dev Grants `role` to `account`.
     *
     * If `account` had not been already granted `role`, emits a {RoleGranted}
     * event.
     *
     * Requirements:
     *
     * - the caller must have ``role``'s admin role.
     *
     * May emit a {RoleGranted} event.
     */
    function grantRole(bytes32 role, address account) public virtual override onlyRole(getRoleAdmin(role)) {
        _grantRole(role, account);
    }

    /**
     * @dev Revokes `role` from `account`.
     *
     * If `account` had been granted `role`, emits a {RoleRevoked} event.
     *
     * Requirements:
     *
     * - the caller must have ``role``'s admin role.
     *
     * May emit a {RoleRevoked} event.
     */
    function revokeRole(bytes32 role, address account) public virtual override onlyRole(getRoleAdmin(role)) {
        _revokeRole(role, account);
    }

    /**
     * @dev Revokes `role` from the calling account.
     *
     * Roles are often managed via {grantRole} and {revokeRole}: this function's
     * purpose is to provide a mechanism for accounts to lose their privileges
     * if they are compromised (such as when a trusted device is misplaced).
     *
     * If the calling account had been revoked `role`, emits a {RoleRevoked}
     * event.
     *
     * Requirements:
     *
     * - the caller must be `account`.
     *
     * May emit a {RoleRevoked} event.
     */
    function renounceRole(bytes32 role, address account) public virtual override {
        require(account == _msgSender(), "AccessControl: can only renounce roles for self");

        _revokeRole(role, account);
    }

    /**
     * @dev Grants `role` to `account`.
     *
     * If `account` had not been already granted `role`, emits a {RoleGranted}
     * event. Note that unlike {grantRole}, this function doesn't perform any
     * checks on the calling account.
     *
     * May emit a {RoleGranted} event.
     *
     * [WARNING]
     * ====
     * This function should only be called from the constructor when setting
     * up the initial roles for the system.
     *
     * Using this function in any other way is effectively circumventing the admin
     * system imposed by {AccessControl}.
     * ====
     *
     * NOTE: This function is deprecated in favor of {_grantRole}.
     */
    function _setupRole(bytes32 role, address account) internal virtual {
        _grantRole(role, account);
    }

    /**
     * @dev Sets `adminRole` as ``role``'s admin role.
     *
     * Emits a {RoleAdminChanged} event.
     */
    function _setRoleAdmin(bytes32 role, bytes32 adminRole) internal virtual {
        bytes32 previousAdminRole = getRoleAdmin(role);
        _roles[role].adminRole = adminRole;
        emit RoleAdminChanged(role, previousAdminRole, adminRole);
    }

    /**
     * @dev Grants `role` to `account`.
     *
     * Internal function without access restriction.
     *
     * May emit a {RoleGranted} event.
     */
    function _grantRole(bytes32 role, address account) internal virtual {
        if (!hasRole(role, account)) {
            _roles[role].members[account] = true;
            emit RoleGranted(role, account, _msgSender());
        }
    }

    /**
     * @dev Revokes `role` from `account`.
     *
     * Internal function without access restriction.
     *
     * May emit a {RoleRevoked} event.
     */
    function _revokeRole(bytes32 role, address account) internal virtual {
        if (hasRole(role, account)) {
            _roles[role].members[account] = false;
            emit RoleRevoked(role, account, _msgSender());
        }
    }

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

// File: @openzeppelin/contracts-upgradeable/access/IAccessControlUpgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (access/IAccessControl.sol)

pragma solidity ^0.8.0;

/**
 * @dev External interface of AccessControl declared to support ERC165 detection.
 */
interface IAccessControlUpgradeable {
    /**
     * @dev Emitted when `newAdminRole` is set as ``role``'s admin role, replacing `previousAdminRole`
     *
     * `DEFAULT_ADMIN_ROLE` is the starting admin for all roles, despite
     * {RoleAdminChanged} not being emitted signaling this.
     *
     * _Available since v3.1._
     */
    event RoleAdminChanged(bytes32 indexed role, bytes32 indexed previousAdminRole, bytes32 indexed newAdminRole);

    /**
     * @dev Emitted when `account` is granted `role`.
     *
     * `sender` is the account that originated the contract call, an admin role
     * bearer except when using {AccessControl-_setupRole}.
     */
    event RoleGranted(bytes32 indexed role, address indexed account, address indexed sender);

    /**
     * @dev Emitted when `account` is revoked `role`.
     *
     * `sender` is the account that originated the contract call:
     *   - if using `revokeRole`, it is the admin role bearer
     *   - if using `renounceRole`, it is the role bearer (i.e. `account`)
     */
    event RoleRevoked(bytes32 indexed role, address indexed account, address indexed sender);

    /**
     * @dev Returns `true` if `account` has been granted `role`.
     */
    function hasRole(bytes32 role, address account) external view returns (bool);

    /**
     * @dev Returns the admin role that controls `role`. See {grantRole} and
     * {revokeRole}.
     *
     * To change a role's admin, use {AccessControl-_setRoleAdmin}.
     */
    function getRoleAdmin(bytes32 role) external view returns (bytes32);

    /**
     * @dev Grants `role` to `account`.
     *
     * If `account` had not been already granted `role`, emits a {RoleGranted}
     * event.
     *
     * Requirements:
     *
     * - the caller must have ``role``'s admin role.
     */
    function grantRole(bytes32 role, address account) external;

    /**
     * @dev Revokes `role` from `account`.
     *
     * If `account` had been granted `role`, emits a {RoleRevoked} event.
     *
     * Requirements:
     *
     * - the caller must have ``role``'s admin role.
     */
    function revokeRole(bytes32 role, address account) external;

    /**
     * @dev Revokes `role` from the calling account.
     *
     * Roles are often managed via {grantRole} and {revokeRole}: this function's
     * purpose is to provide a mechanism for accounts to lose their privileges
     * if they are compromised (such as when a trusted device is misplaced).
     *
     * If the calling account had been granted `role`, emits a {RoleRevoked}
     * event.
     *
     * Requirements:
     *
     * - the caller must be `account`.
     */
    function renounceRole(bytes32 role, address account) external;
}

// File: @openzeppelin/contracts-upgradeable/interfaces/draft-IERC1822Upgradeable.sol



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

pragma solidity ^0.8.0;

/**
 * @dev ERC1822: Universal Upgradeable Proxy Standard (UUPS) documents a method for upgradeability through a simplified
 * proxy whose upgrades are fully controlled by the current implementation.
 */
interface IERC1822ProxiableUpgradeable {
    /**
     * @dev Returns the storage slot that the proxiable contract assumes is being used to store the implementation
     * address.
     *
     * IMPORTANT: A proxy pointing at a proxiable contract should not be considered proxiable itself, because this risks
     * bricking a proxy that upgrades to it, by delegating to itself until out of gas. Thus it is critical that this
     * function revert if invoked through a proxy.
     */
    function proxiableUUID() external view returns (bytes32);
}

// File: @openzeppelin/contracts-upgradeable/proxy/beacon/IBeaconUpgradeable.sol



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

pragma solidity ^0.8.0;

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

// File: @openzeppelin/contracts-upgradeable/proxy/ERC1967/ERC1967UpgradeUpgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.5.0) (proxy/ERC1967/ERC1967Upgrade.sol)

pragma solidity ^0.8.2;

import "../beacon/IBeaconUpgradeable.sol";
import "../../interfaces/draft-IERC1822Upgradeable.sol";
import "../../utils/AddressUpgradeable.sol";
import "../../utils/StorageSlotUpgradeable.sol";
import "../utils/Initializable.sol";

/**
 * @dev This abstract contract provides getters and event emitting update functions for
 * https://eips.ethereum.org/EIPS/eip-1967[EIP1967] slots.
 *
 * _Available since v4.1._
 *
 * @custom:oz-upgrades-unsafe-allow delegatecall
 */
abstract contract ERC1967UpgradeUpgradeable is Initializable {
    function __ERC1967Upgrade_init() internal onlyInitializing {
    }

    function __ERC1967Upgrade_init_unchained() internal onlyInitializing {
    }
    // This is the keccak-256 hash of "eip1967.proxy.rollback" subtracted by 1
    bytes32 private constant _ROLLBACK_SLOT = 0x4910fdfa16fed3260ed0e7147f7cc6da11a60208b5b9406d12a635614ffd9143;

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

    /**
     * @dev Emitted when the implementation is upgraded.
     */
    event Upgraded(address indexed implementation);

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

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

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

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

    /**
     * @dev Perform implementation upgrade with security checks for UUPS proxies, and additional setup call.
     *
     * Emits an {Upgraded} event.
     */
    function _upgradeToAndCallUUPS(
        address newImplementation,
        bytes memory data,
        bool forceCall
    ) internal {
        // Upgrades from old implementations will perform a rollback test. This test requires the new
        // implementation to upgrade back to the old, non-ERC1822 compliant, implementation. Removing
        // this special case will break upgrade paths from old UUPS implementation to new ones.
        if (StorageSlotUpgradeable.getBooleanSlot(_ROLLBACK_SLOT).value) {
            _setImplementation(newImplementation);
        } else {
            try IERC1822ProxiableUpgradeable(newImplementation).proxiableUUID() returns (bytes32 slot) {
                require(slot == _IMPLEMENTATION_SLOT, "ERC1967Upgrade: unsupported proxiableUUID");
            } catch {
                revert("ERC1967Upgrade: new implementation is not UUPS");
            }
            _upgradeToAndCall(newImplementation, data, forceCall);
        }
    }

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

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

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

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

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

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

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

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

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

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

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a delegate call.
     *
     * _Available since v3.4._
     */
    function _functionDelegateCall(address target, bytes memory data) private returns (bytes memory) {
        require(AddressUpgradeable.isContract(target), "Address: delegate call to non-contract");

        // solhint-disable-next-line avoid-low-level-calls
        (bool success, bytes memory returndata) = target.delegatecall(data);
        return AddressUpgradeable.verifyCallResult(success, returndata, "Address: low-level delegate call failed");
    }

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

// File: @openzeppelin/contracts-upgradeable/proxy/utils/Initializable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.1) (proxy/utils/Initializable.sol)

pragma solidity ^0.8.2;

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

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

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

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

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

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

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

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

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

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

// File: @openzeppelin/contracts-upgradeable/proxy/utils/UUPSUpgradeable.sol



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

pragma solidity ^0.8.0;

import "../../interfaces/draft-IERC1822Upgradeable.sol";
import "../ERC1967/ERC1967UpgradeUpgradeable.sol";
import "./Initializable.sol";

/**
 * @dev An upgradeability mechanism designed for UUPS proxies. The functions included here can perform an upgrade of an
 * {ERC1967Proxy}, when this contract is set as the implementation behind such a proxy.
 *
 * A security mechanism ensures that an upgrade does not turn off upgradeability accidentally, although this risk is
 * reinstated if the upgrade retains upgradeability but removes the security mechanism, e.g. by replacing
 * `UUPSUpgradeable` with a custom implementation of upgrades.
 *
 * The {_authorizeUpgrade} function must be overridden to include access restriction to the upgrade mechanism.
 *
 * _Available since v4.1._
 */
abstract contract UUPSUpgradeable is Initializable, IERC1822ProxiableUpgradeable, ERC1967UpgradeUpgradeable {
    function __UUPSUpgradeable_init() internal onlyInitializing {
    }

    function __UUPSUpgradeable_init_unchained() internal onlyInitializing {
    }
    /// @custom:oz-upgrades-unsafe-allow state-variable-immutable state-variable-assignment
    address private immutable __self = address(this);

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

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

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

    /**
     * @dev Upgrade the implementation of the proxy to `newImplementation`.
     *
     * Calls {_authorizeUpgrade}.
     *
     * Emits an {Upgraded} event.
     */
    function upgradeTo(address newImplementation) external virtual onlyProxy {
        _authorizeUpgrade(newImplementation);
        _upgradeToAndCallUUPS(newImplementation, new bytes(0), false);
    }

    /**
     * @dev Upgrade the implementation of the proxy to `newImplementation`, and subsequently execute the function call
     * encoded in `data`.
     *
     * Calls {_authorizeUpgrade}.
     *
     * Emits an {Upgraded} event.
     */
    function upgradeToAndCall(address newImplementation, bytes memory data) external payable virtual onlyProxy {
        _authorizeUpgrade(newImplementation);
        _upgradeToAndCallUUPS(newImplementation, data, true);
    }

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

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

// File: @openzeppelin/contracts-upgradeable/utils/AddressUpgradeable.sol



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

pragma solidity ^0.8.1;

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

        return account.code.length > 0;
    }

    /**
     * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
     * `recipient`, forwarding all available gas and reverting on errors.
     *
     * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
     * of certain opcodes, possibly making contracts go over the 2300 gas limit
     * imposed by `transfer`, making them unable to receive funds via
     * `transfer`. {sendValue} removes this limitation.
     *
     * https://diligence.consensys.net/posts/2019/09/stop-using-soliditys-transfer-now/[Learn more].
     *
     * IMPORTANT: because control is transferred to `recipient`, care must be
     * taken to not create reentrancy vulnerabilities. Consider using
     * {ReentrancyGuard} or the
     * https://solidity.readthedocs.io/en/v0.5.11/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
     */
    function sendValue(address payable recipient, uint256 amount) internal {
        require(address(this).balance >= amount, "Address: insufficient balance");

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

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

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

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

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

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

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

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

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

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

// File: @openzeppelin/contracts-upgradeable/utils/ContextUpgradeable.sol



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

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

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

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

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

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

// File: @openzeppelin/contracts-upgradeable/utils/introspection/ERC165Upgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/introspection/ERC165.sol)

pragma solidity ^0.8.0;

import "./IERC165Upgradeable.sol";
import "../../proxy/utils/Initializable.sol";

/**
 * @dev Implementation of the {IERC165} interface.
 *
 * Contracts that want to implement ERC165 should inherit from this contract and override {supportsInterface} to check
 * for the additional interface id that will be supported. For example:
 *
 * ```solidity
 * function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
 *     return interfaceId == type(MyInterface).interfaceId || super.supportsInterface(interfaceId);
 * }
 * ```
 *
 * Alternatively, {ERC165Storage} provides an easier to use but more expensive implementation.
 */
abstract contract ERC165Upgradeable is Initializable, IERC165Upgradeable {
    function __ERC165_init() internal onlyInitializing {
    }

    function __ERC165_init_unchained() internal onlyInitializing {
    }
    /**
     * @dev See {IERC165-supportsInterface}.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
        return interfaceId == type(IERC165Upgradeable).interfaceId;
    }

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

// File: @openzeppelin/contracts-upgradeable/utils/introspection/IERC165Upgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/introspection/IERC165.sol)

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC165 standard, as defined in the
 * https://eips.ethereum.org/EIPS/eip-165[EIP].
 *
 * Implementers can declare support of contract interfaces, which can then be
 * queried by others ({ERC165Checker}).
 *
 * For an implementation, see {ERC165}.
 */
interface IERC165Upgradeable {
    /**
     * @dev Returns true if this contract implements the interface defined by
     * `interfaceId`. See the corresponding
     * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[EIP section]
     * to learn more about how these ids are created.
     *
     * This function call must use less than 30 000 gas.
     */
    function supportsInterface(bytes4 interfaceId) external view returns (bool);
}

// File: @openzeppelin/contracts-upgradeable/utils/math/MathUpgradeable.sol



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

pragma solidity ^0.8.0;

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

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

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

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

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

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

            // Handle non-overflow cases, 256 by 256 division.
            if (prod1 == 0) {
                return prod0 / denominator;
            }

            // Make sure the result is less than 2^256. Also prevents denominator == 0.
            require(denominator > prod1);

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

    /**
     * @dev Return the log in base 10, following the selected rounding direction, of a positive value.
     * Returns 0 if given 0.
     */
    function log256(uint256 value, Rounding rounding) internal pure returns (uint256) {
        unchecked {
            uint256 result = log256(value);
            return result + (rounding == Rounding.Up && 1 << (result * 8) < value ? 1 : 0);
        }
    }
}

// File: @openzeppelin/contracts-upgradeable/utils/StorageSlotUpgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.7.0) (utils/StorageSlot.sol)

pragma solidity ^0.8.0;

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

    struct BooleanSlot {
        bool value;
    }

    struct Bytes32Slot {
        bytes32 value;
    }

    struct Uint256Slot {
        uint256 value;
    }

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

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

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

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

// File: @openzeppelin/contracts-upgradeable/utils/StringsUpgradeable.sol



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

pragma solidity ^0.8.0;

import "./math/MathUpgradeable.sol";

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

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

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

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

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

// File: @openzeppelin/contracts/token/ERC20/extensions/IERC20Metadata.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (token/ERC20/extensions/IERC20Metadata.sol)

pragma solidity ^0.8.0;

import "../IERC20.sol";

/**
 * @dev Interface for the optional metadata functions from the ERC20 standard.
 *
 * _Available since v4.1._
 */
interface IERC20Metadata is IERC20 {
    /**
     * @dev Returns the name of the token.
     */
    function name() external view returns (string memory);

    /**
     * @dev Returns the symbol of the token.
     */
    function symbol() external view returns (string memory);

    /**
     * @dev Returns the decimals places of the token.
     */
    function decimals() external view returns (uint8);
}

// File: @openzeppelin/contracts/token/ERC20/IERC20.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.6.0) (token/ERC20/IERC20.sol)

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC20 standard as defined in the EIP.
 */
interface IERC20 {
    /**
     * @dev Emitted when `value` tokens are moved from one account (`from`) to
     * another (`to`).
     *
     * Note that `value` may be zero.
     */
    event Transfer(address indexed from, address indexed to, uint256 value);

    /**
     * @dev Emitted when the allowance of a `spender` for an `owner` is set by
     * a call to {approve}. `value` is the new allowance.
     */
    event Approval(address indexed owner, address indexed spender, uint256 value);

    /**
     * @dev Returns the amount of tokens in existence.
     */
    function totalSupply() external view returns (uint256);

    /**
     * @dev Returns the amount of tokens owned by `account`.
     */
    function balanceOf(address account) external view returns (uint256);

    /**
     * @dev Moves `amount` tokens from the caller's account to `to`.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * Emits a {Transfer} event.
     */
    function transfer(address to, uint256 amount) external returns (bool);

    /**
     * @dev Returns the remaining number of tokens that `spender` will be
     * allowed to spend on behalf of `owner` through {transferFrom}. This is
     * zero by default.
     *
     * This value changes when {approve} or {transferFrom} are called.
     */
    function allowance(address owner, address spender) external view returns (uint256);

    /**
     * @dev Sets `amount` as the allowance of `spender` over the caller's tokens.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * IMPORTANT: Beware that changing an allowance with this method brings the risk
     * that someone may use both the old and the new allowance by unfortunate
     * transaction ordering. One possible solution to mitigate this race
     * condition is to first reduce the spender's allowance to 0 and set the
     * desired value afterwards:
     * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
     *
     * Emits an {Approval} event.
     */
    function approve(address spender, uint256 amount) external returns (bool);

    /**
     * @dev Moves `amount` tokens from `from` to `to` using the
     * allowance mechanism. `amount` is then deducted from the caller's
     * allowance.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * Emits a {Transfer} event.
     */
    function transferFrom(
        address from,
        address to,
        uint256 amount
    ) external returns (bool);
}

// File: contracts/interfaces/curve/ICurveExchange.sol



// SPDX-License-Identifier: MIT
pragma solidity =0.8.10;

interface ICurveExchange {
    function get_exchange_amount(
        address _pool,
        address _from,
        address _to,
        uint256 _amount
    ) external view returns (uint256);
}

// File: contracts/interfaces/CustomErrors.sol



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

interface CustomErrors {
    //
    // Vault Errors
    //

    // Vault: sender is not the owner of the group id
    error VaultSenderNotOwnerOfGroupId();

    // Vault: invalid investPct
    error VaultInvalidInvestPct();

    // Vault: invalid immediateInvestLimitPct
    error VaultInvalidImmediateInvestLimitPct();

    // Vault: invalid performance fee
    error VaultInvalidPerformanceFee();

    // Vault: no performance fee
    error VaultNoPerformanceFee();

    // Vault: invalid lossTolerance
    error VaultInvalidLossTolerance();

    // Vault: underlying cannot be 0x0
    error VaultUnderlyingCannotBe0Address();

    // Vault: treasury cannot be 0x0
    error VaultTreasuryCannotBe0Address();

    // Vault: admin cannot be 0x0
    error VaultAdminCannotBe0Address();

    // Vault: cannot transfer admin rights to self
    error VaultCannotTransferAdminRightsToSelf();

    // Vault: caller is not admin
    error VaultCallerNotAdmin();

    // Vault: caller is not settings
    error VaultCallerNotSettings();

    // Vault: caller is not keeper
    error VaultCallerNotKeeper();

    // Vault: caller is not sponsor
    error VaultCallerNotSponsor();

    // Vault: destination address is 0x
    error VaultDestinationCannotBe0Address();

    // Vault: strategy is not set
    error VaultStrategyNotSet();

    // Vault: invalid minLockPeriod
    error VaultInvalidMinLockPeriod();

    // Vault: invalid lock period
    error VaultInvalidLockPeriod();

    // Vault: cannot deposit 0
    error VaultCannotDeposit0();

    // Vault: cannot sponsor 0
    error VaultCannotSponsor0();

    // Vault: cannot deposit when yield is negative
    error VaultCannotDepositWhenYieldNegative();

    // Vault: cannot deposit when the claimer is in debt
    error VaultCannotDepositWhenClaimerInDebt();

    // Vault: cannot withdraw when yield is negative
    error VaultCannotWithdrawWhenYieldNegative();

    // Vault: nothing to do
    error VaultNothingToDo();

    // Vault: not enough to rebalance
    error VaultNotEnoughToRebalance();

    // Vault: invalid vault
    error VaultInvalidVault();

    // Vault: strategy has invested funds
    error VaultStrategyHasInvestedFunds();

    // Vault: not enough funds
    error VaultNotEnoughFunds();

    // Vault: you are not allowed
    error VaultNotAllowed();

    // Vault: amount is locked
    error VaultAmountLocked();

    // Vault: deposit is locked
    error VaultDepositLocked();

    // Vault: token id is not a sponsor
    error VaultNotSponsor();

    // Vault: token id is not a deposit
    error VaultNotDeposit();

    // Vault: claim percentage cannot be 0
    error VaultClaimPercentageCannotBe0();

    // Vault: claimer cannot be address 0
    error VaultClaimerCannotBe0();

    // Vault: claims don't add up to 100%
    error VaultClaimsDontAddUp();

    // Vault: you are not the owner of a deposit
    error VaultNotOwnerOfDeposit();

    // Vault: cannot withdraw more than the available amount
    error VaultCannotWithdrawMoreThanAvailable();

    // Vault: must force withdraw to withdraw with a loss
    error VaultMustUseForceWithdrawToAcceptLosses();

    // Vault: amount received does not match params
    error VaultAmountDoesNotMatchParams();

    // Vault: cannot compute shares when there's no principal
    error VaultCannotComputeSharesWithoutPrincipal();

    // Vault: deposit name for MetaVault too short
    error VaultDepositNameTooShort();

    // Vault: no yield to claim
    error VaultNoYieldToClaim();

    //
    // Strategy Errors
    //

    // Strategy: admin is 0x
    error StrategyAdminCannotBe0Address();

    // Strategy: keeper is 0x
    error StrategyKeeperCannotBe0Address();

    // Strategy: cannot transfer admin rights to self
    error StrategyCannotTransferAdminRightsToSelf();

    // Strategy: underlying is 0x
    error StrategyUnderlyingCannotBe0Address();

    // Strategy: not an IVault
    error StrategyNotIVault();

    // Strategy: caller is not manager
    error StrategyCallerNotManager();

    // Strategy: caller has no settings role
    error StrategyCallerNotSettings();

    // Strategy: caller has no keeper role
    error StrategyCallerNotKeeper();

    // Strategy: caller is not admin
    error StrategyCallerNotAdmin();

    // Strategy: amount is 0
    error StrategyAmountZero();

    // Strategy: not running
    error StrategyNotRunning();

    // Not Enough Underlying Balance in Strategy contract
    error StrategyNoUnderlying();

    // Not Enough Shares in Strategy Contract
    error StrategyNotEnoughShares();
}

// File: contracts/interfaces/liquity/IStabilityPool.sol



// SPDX-License-Identifier: MIT
pragma solidity =0.8.10;

interface IStabilityPool {
    /*  provideToSP():
     *
     * - Triggers a LQTY issuance, based on time passed since the last issuance. The LQTY issuance is shared between *all* depositors and front ends
     * - Tags the deposit with the provided front end tag param, if it's a new deposit
     * - Sends depositor's accumulated gains (LQTY, ETH) to depositor
     * - Sends the tagged front end's accumulated LQTY gains to the tagged front end
     * - Increases deposit and tagged front end's stake, and takes new snapshots for each.
     */
    function provideToSP(uint256 _amount, address _frontEndTag) external;

    /*  withdrawFromSP():
     *
     * - Triggers a LQTY issuance, based on time passed since the last issuance. The LQTY issuance is shared between *all* depositors and front ends
     * - Removes the deposit's front end tag if it is a full withdrawal
     * - Sends all depositor's accumulated gains (LQTY, ETH) to depositor
     * - Sends the tagged front end's accumulated LQTY gains to the tagged front end
     * - Decreases deposit and tagged front end's stake, and takes new snapshots for each.
     *
     * If _amount > userDeposit, the user withdraws all of their compounded deposit.
     */
    function withdrawFromSP(uint256 _amount) external;

    /* Calculates the ETH gain earned by the deposit since its last snapshots were taken.
     * Given by the formula:  E = d0 * (S - S(0))/P(0)
     * where S(0) and P(0) are the depositor's snapshots of the sum S and product P, respectively.
     * d0 is the last recorded deposit value.
     */
    function getDepositorETHGain(address _depositor)
        external
        view
        returns (uint256);

    /*
     * Calculate the LQTY gain earned by a deposit since its last snapshots were taken.
     * Given by the formula:  LQTY = d0 * (G - G(0))/P(0)
     * where G(0) and P(0) are the depositor's snapshots of the sum G and product P, respectively.
     * d0 is the last recorded deposit value.
     */
    function getDepositorLQTYGain(address _depositor)
        external
        view
        returns (uint256);

    /*
     * Return the user's compounded deposit. Given by the formula:  d = d0 * P/P(0)
     * where P(0) is the depositor's snapshot of the product P, taken when they last updated their deposit.
     */
    function getCompoundedLUSDDeposit(address _depositor)
        external
        view
        returns (uint256);

    /*
     * Cancels out the specified debt against the LUSD contained in the Stability Pool (as far as possible)
     * and transfers the Trove's ETH collateral from ActivePool to StabilityPool.
     * Only called by liquidation functions in the TroveManager.
     */
    function offset(uint256 _debtToOffset, uint256 _collToAdd) external;

    /*
     * Address of the TroveManager contract.
     */
    function troveManager() external view returns (address);
}

// File: contracts/lib/ERC165Query.sol



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

library ERC165Query {
    bytes4 constant InvalidID = 0xffffffff;
    bytes4 constant ERC165ID = 0x01ffc9a7;

    function doesContractImplementInterface(
        address _contract,
        bytes4 _interfaceId
    ) internal view returns (bool) {
        uint256 success;
        uint256 result;

        (success, result) = noThrowCall(_contract, ERC165ID);
        if ((success == 0) || (result == 0)) {
            return false;
        }

        (success, result) = noThrowCall(_contract, InvalidID);
        if ((success == 0) || (result != 0)) {
            return false;
        }

        (success, result) = noThrowCall(_contract, _interfaceId);
        if ((success == 1) && (result == 1)) {
            return true;
        }
        return false;
    }

    function noThrowCall(address _contract, bytes4 _interfaceId)
        internal
        view
        returns (uint256 success, uint256 result)
    {
        bytes4 erc165ID = ERC165ID;

        assembly {
            let x := mload(0x40) // Find empty storage location using "free memory pointer"
            mstore(x, erc165ID) // Place signature at beginning of empty storage
            mstore(add(x, 0x04), _interfaceId) // Place first argument directly next to signature

            success := staticcall(
                30000, // 30k gas
                _contract, // To addr
                x, // Inputs are stored at location x
                0x24, // Inputs are 36 bytes long
                x, // Store output over input (saves space)
                0x20
            ) // Outputs are 32 bytes long

            result := mload(x) // Load the result
        }
    }
}

// File: contracts/lib/PercentMath.sol



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

library PercentMath {
    // Divisor used for representing percentages
    uint256 public constant PCT_DIVISOR = 10000;

    /**
     * @dev Returns whether an amount is a valid percentage out of PCT_DIVISOR
     * @param _amount Amount that is supposed to be a percentage
     */
    function validPct(uint256 _amount) internal pure returns (bool) {
        return _amount <= PCT_DIVISOR;
    }

    /**
     * @dev Compute percentage of a value with the percentage represented by a fraction over PERC_DIVISOR
     * @param _amount Amount to take the percentage of
     * @param _fracNum Numerator of fraction representing the percentage with PCT_DIVISOR as the denominator
     */
    function pctOf(uint256 _amount, uint16 _fracNum)
        internal
        pure
        returns (uint256)
    {
        return (_amount * _fracNum) / PCT_DIVISOR;
    }

    /**
     * @dev Compute percentage that a value represents in relation to the total value
     * @param _amount Amount to calculate the percentage of in relation to the total
     * @param _total Amount to calculate the percentage relative to
     */
    function inPctOf(uint256 _amount, uint256 _total)
        internal
        pure
        returns (uint16)
    {
        return uint16((_amount * PCT_DIVISOR) / _total);
    }

    /**
     * @dev Checks if a given number corresponds to 100%
     * @param _perc Percentage value to check, with PCT_DIVISOR
     */
    function is100Pct(uint256 _perc) internal pure returns (bool) {
        return _perc == PCT_DIVISOR;
    }
}

// File: contracts/strategy/IStrategy.sol



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

import {IERC20} from "@openzeppelin/contracts/token/ERC20/IERC20.sol";

/**
 * IStrategy defines the interface for pluggable contracts used by vaults to invest funds and generate yield.
 *
 * @notice It's up to the strategy to decide what do to with investable assets provided by a vault.
 *
 * @notice It's up to the vault to decide how much to invest/disinvest from the total pool.
 */
interface IStrategy {
    /**
     * Emmited when funds are invested by the strategy.
     *
     *@param amount amount invested
     */
    event StrategyInvested(uint256 amount);
    /**
     * Emmited when funds are withdrawn (disinvested) by the strategy.
     *
     *@param amount amount withdrawn
     */
    event StrategyWithdrawn(uint256 amount);

    /**
     * Provides information about wether the strategy is synchronous or asynchronous.
     *
     * @notice Synchronous strategies support instant withdrawals,
     * while asynchronous strategies impose a delay before withdrawals can be made.
     *
     * @return true if the strategy is synchronous, false otherwise
     */
    function isSync() external view returns (bool);

    /**
     * The vault linked to this strategy.
     *
     * @return The vault's address
     */
    function vault() external view returns (address);

    /**
     * Withdraws the specified amount back to the vault (disinvests)
     *
     * @param amount Amount to withdraw
     *
     * @return actual amount withdrawn
     */
    function withdrawToVault(uint256 amount) external returns (uint256);

    /**
     * Transfers the @param _amount to @param _to in the more appropriate currency.
     *
     * For instance, for Liquity Yield DCA, the most appropriate currency may
     * be ETH since yield will be kept in ETH.
     *
     * @param _to address that will receive the funds.
     * @param _amount amount to transfer.
     *
     * @return amountTransferred amount in underlying equivalent to amount transferred in other currency.
     */
    function transferYield(address _to, uint256 _amount)
        external
        returns (uint256 amountTransferred);

    /**
     * Amount of the underlying currency currently invested by the strategy.
     *
     * @notice both held and invested amounts are included here, using the
     * latest known exchange rates to the underlying currency
     *
     * @return The total amount of underlying
     */
    function investedAssets() external view returns (uint256);

    /**
     * Indicates if assets are invested into strategy or not.
     *
     * @notice this will be used when removing the strategy from the vault
     * @return true if assets invested, false if nothing invested.
     */
    function hasAssets() external view returns (bool);

    /**
     * Deposits of all the available underlying into the yield generating protocol.
     */
    function invest() external;
}

// File: contracts/strategy/liquity/LiquityStrategy.sol



// SPDX-License-Identifier: MIT
pragma solidity =0.8.10;

import {IERC20} from "@openzeppelin/contracts/token/ERC20/IERC20.sol";
import {AccessControlUpgradeable} from "@openzeppelin/contracts-upgradeable/access/AccessControlUpgradeable.sol";
import {UUPSUpgradeable} from "@openzeppelin/contracts-upgradeable/proxy/utils/UUPSUpgradeable.sol";

import {PercentMath} from "../../lib/PercentMath.sol";
import {IStrategy} from "../IStrategy.sol";
import {CustomErrors} from "../../interfaces/CustomErrors.sol";
import {IVault} from "../../vault/IVault.sol";
import {IVaultSponsoring} from "../../vault/IVaultSponsoring.sol";
import {IStabilityPool} from "../../interfaces/liquity/IStabilityPool.sol";
import {ERC165Query} from "../../lib/ERC165Query.sol";
import {ICurveExchange} from "../../interfaces/curve/ICurveExchange.sol";

/***
 * Liquity Strategy generates yield by investing LUSD assets into Liquity Stability Pool contract.
 * Stability pool gives out LQTY & ETH as rewards for liquidity providers.
 * The LQTY rewards are normal yield rewards
 * But the Stability Pool achievs ETH rewards by Liquidating Troves using the LUSD we deposited.
 * So our balance of LUSD goes down and we get an 1.1x (or higher) value of ETH. In short, we make a 10% profit in ETH everytime our LUSD is used for liquidation by the stability pool
 * the harvest method here withdraws those LQTY & ETH rewards, swaps them into LUSD and then deposits them back to the stability pool.
 * we should make sure to harvest at regular intervals because if the value of ETH rewards goes below 1x of the LUSD used for liquidation then we will make a net loss on our LUSD.
 * the contract uses 0xapi for swapping the tokens.
 */
contract LiquityStrategy is
    IStrategy,
    UUPSUpgradeable,
    AccessControlUpgradeable,
    CustomErrors
{
    using PercentMath for uint256;
    using ERC165Query for address;

    error StrategyETHSwapFailed();
    error StrategyLQTYSwapFailed();
    error StrategyNotEnoughETH();
    error StrategyNotEnoughLQTY();
    error StrategyNothingToReinvest();
    error StrategyStabilityPoolCannotBe0Address();
    error StrategyCurveExchangeCannotBe0Address();
    error StrategySwapTargetCannotBe0Address();
    error StrategySwapTargetNotAllowed();
    error StrategyInsufficientOutputAmount();
    error StrategyYieldTokenCannotBe0Address();
    error StrategyMinimumAssetsProtection();

    event StrategyReinvested(uint256 amountInLUSD);

    address public constant WETH_CURVE_POOL =
        0xD51a44d3FaE010294C616388b506AcdA1bfAAE46;
    address public constant LUSD_CURVE_POOL =
        0xEd279fDD11cA84bEef15AF5D39BB4d4bEE23F0cA;
    address public constant CURVE_ROUTER =
        0x81C46fECa27B31F3ADC2b91eE4be9717d1cd3DD7;
    address public constant WETH = 0xC02aaA39b223FE8D0A0e5C4F27eAD9083C756Cc2;
    address public constant USDT = 0xdAC17F958D2ee523a2206206994597C13D831ec7;

    // role allowed to invest/withdraw assets to/from the strategy (vault)
    bytes32 public constant MANAGER_ROLE = keccak256("MANAGER_ROLE");
    // role allowed to call harvest() and reinvest()
    bytes32 public constant KEEPER_ROLE = keccak256("KEEPER_ROLE");
    // role for managing swap targets whitelist
    bytes32 public constant SETTINGS_ROLE = keccak256("SETTINGS_ROLE");

    IERC20 public underlying; // LUSD token
    /// @inheritdoc IStrategy
    address public override(IStrategy) vault;
    IStabilityPool public stabilityPool;
    IERC20 public lqty; // reward token
    mapping(address => bool) public allowedSwapTargets; // whitelist of swap targets
    ICurveExchange public curveExchange;

    /**
     * A percentage that specifies the minimum amount of assets to protect in the strategy.
     * Protected assets are kept in LUSD and include principal, sponsored and accumulated performance fees.
     * This value acts as a threshold and is applied only when the total underlying assets are grater than the minimum protected assets.
     *
     * For instance, the minimum protected assets percentage is 150%, the total principal is 100 LUSD,
     * sponsored and perf fees are both 0, and the total yield is 100 LUSD. When the backend
     * rebalances the strategy (calls #reinvest), it has to ensure that at least 50 ETH+LQTY is
     * converted to LUSD to maintain a 150% minimum protected assets (150 LUSD).
     */
    uint16 public minProtectedAssetsPct;

    //
    // Modifiers
    //

    modifier onlyManager() {
        if (!hasRole(MANAGER_ROLE, msg.sender))
            revert StrategyCallerNotManager();
        _;
    }

    modifier onlyKeeper() {
        if (!hasRole(KEEPER_ROLE, msg.sender)) revert StrategyCallerNotKeeper();
        _;
    }

    modifier onlySettings() {
        if (!hasRole(SETTINGS_ROLE, msg.sender))
            revert StrategyCallerNotSettings();
        _;
    }

    modifier onlyAdmin() {
        if (!hasRole(DEFAULT_ADMIN_ROLE, msg.sender))
            revert StrategyCallerNotAdmin();
        _;
    }

    //
    // Initialize method (constructor alternative for proxy contracts)
    //

    function initialize(
        address _vault,
        address _admin,
        address _stabilityPool,
        address _lqty,
        address _underlying,
        address _keeper,
        uint16 _minProtectedAssetsPct,
        address _curveExchange
    ) public initializer {
        __AccessControl_init();
        __UUPSUpgradeable_init();

        if (_admin == address(0)) revert StrategyAdminCannotBe0Address();
        if (_lqty == address(0)) revert StrategyYieldTokenCannotBe0Address();
        if (_stabilityPool == address(0))
            revert StrategyStabilityPoolCannotBe0Address();
        if (_underlying == address(0))
            revert StrategyUnderlyingCannotBe0Address();
        if (!_vault.doesContractImplementInterface(type(IVault).interfaceId))
            revert StrategyNotIVault();
        if (_keeper == address(0)) revert StrategyKeeperCannotBe0Address();
        if (_curveExchange == address(0))
            revert StrategyCurveExchangeCannotBe0Address();

        _grantRole(DEFAULT_ADMIN_ROLE, _admin);
        _grantRole(KEEPER_ROLE, _admin);
        _grantRole(SETTINGS_ROLE, _admin);
        _grantRole(MANAGER_ROLE, _vault);
        _grantRole(KEEPER_ROLE, _keeper);

        vault = _vault;
        underlying = IERC20(_underlying);
        stabilityPool = IStabilityPool(_stabilityPool);
        curveExchange = ICurveExchange(_curveExchange);
        lqty = IERC20(_lqty);
        minProtectedAssetsPct = _minProtectedAssetsPct;

        underlying.approve(_stabilityPool, type(uint256).max);
    }

    /**
     * Set the minimum protected assets percentage.
     *
     * @param _pct The new minimum assets protection percentage.
     */
    function setMinProtectedAssetsPct(uint16 _pct) external onlySettings {
        minProtectedAssetsPct = _pct;
    }

    /**
     * Transfers administrator rights for the Strategy to another account,
     * revoking current admin roles and setting up the roles for the new admin.
     *
     * @notice Can only be called by the account with the ADMIN role.
     *
     * @param _newAdmin The new Strategy admin account.
     */
    function transferAdminRights(address _newAdmin) external onlyAdmin {
        if (_newAdmin == address(0x0)) revert StrategyAdminCannotBe0Address();

        if (_newAdmin == msg.sender)
            revert StrategyCannotTransferAdminRightsToSelf();

        _grantRole(DEFAULT_ADMIN_ROLE, _newAdmin);
        _grantRole(KEEPER_ROLE, _newAdmin);
        _grantRole(SETTINGS_ROLE, _newAdmin);

        _revokeRole(DEFAULT_ADMIN_ROLE, msg.sender);
        _revokeRole(KEEPER_ROLE, msg.sender);
        _revokeRole(SETTINGS_ROLE, msg.sender);
    }

    //
    // IStrategy
    //

    /// @inheritdoc IStrategy
    function isSync() external pure override(IStrategy) returns (bool) {
        return true;
    }

    /// @inheritdoc IStrategy
    function hasAssets()
        external
        view
        virtual
        override(IStrategy)
        returns (bool)
    {
        return investedAssets() != 0;
    }

    /// @inheritdoc IStrategy
    /// @notice LQTY rewards of the strategy waiting to be claimed in the liquity stability pool are not included
    /// @notice but the ETH rewards are included
    function investedAssets()
        public
        view
        virtual
        override(IStrategy)
        returns (uint256)
    {
        uint256 ethBalance = address(this).balance +
            stabilityPool.getDepositorETHGain(address(this));

        // need to do this because the get_exchange_amount method reverts if ethBalance is zero
        if (ethBalance == 0) {
            return stabilityPool.getCompoundedLUSDDeposit(address(this));
        }

        uint256 ethBalanceInUSDT = curveExchange.get_exchange_amount(
            WETH_CURVE_POOL,
            WETH,
            USDT,
            ethBalance
        );

        uint256 ethBalanceInLusd = curveExchange.get_exchange_amount(
            LUSD_CURVE_POOL,
            USDT,
            address(underlying),
            ethBalanceInUSDT
        );

        return
            stabilityPool.getCompoundedLUSDDeposit(address(this)) +
            ethBalanceInLusd;
    }

    /// @inheritdoc IStrategy
    /// @notice this will also claim any unclaimed gains in the stability pool
    function invest() external virtual override(IStrategy) onlyManager {
        uint256 balance = underlying.balanceOf(address(this));
        if (balance == 0) revert StrategyNoUnderlying();

        // claims LQTY & ETH rewards if there are any
        stabilityPool.provideToSP(balance, address(0));

        emit StrategyInvested(balance);
    }

    /// @inheritdoc IStrategy
    /// @notice will also claim unclaimed LQTY & ETH gains
    /// @notice when amount > total deposited, all available funds will be withdrawn
    function withdrawToVault(uint256 amount)
        external
        virtual
        override(IStrategy)
        onlyManager
        returns (uint256)
    {
        if (amount == 0) revert StrategyAmountZero();
        if (amount > investedAssets()) revert StrategyNotEnoughShares();

        // withdraws underlying amount and claims LQTY & ETH rewards
        stabilityPool.withdrawFromSP(amount);

        // use balance instead of amount since amount could be greater than what was actually withdrawn
        uint256 balance = underlying.balanceOf(address(this));
        underlying.transfer(vault, balance);

        emit StrategyWithdrawn(balance);

        return balance;
    }

    /**
     * Allows an address to be used as a swap target by adding it on the whitelist.
     *
     * @notice Can only be called by the account with the SETTINGS role.
     * @notice Swap targets are addresses of 0x contracts used for swapping ETH and LQTY tokens held by the strategy.
     */
    function allowSwapTarget(address _swapTarget) external onlySettings {
        _checkSwapTargetForZeroAddress(_swapTarget);

        allowedSwapTargets[_swapTarget] = true;
    }

    /**
     * Denies an address to be used as a swap target by removing it from the whitelist.
     *
     * @notice Can only be called by the account with the SETTINGS role.
     */
    function denySwapTarget(address _swapTarget) external onlySettings {
        _checkSwapTargetForZeroAddress(_swapTarget);

        allowedSwapTargets[_swapTarget] = false;
    }

    /**
     * Collects the LQTY & ETH rewards from the stability pool.
     */
    function harvest() external virtual {
        // call to withdrawFromSP with 0 amount will only claim rewards
        stabilityPool.withdrawFromSP(0);
    }

    /**
     * Swaps LQTY tokens and ETH held by the strategy to LUSD,
     * and reinvests the swapped LUSD amount into the stability pool.
     *
     * @notice Can only be called by the account with the KEEPER role.
     * @notice Swap data arguments provided are real-time data obtained from '0x' api.
     *
     * @param _swapTarget the address of the '0x' contract performing the tokens swap.
     * @param _lqtySwapData data used to perform LQTY -> LUSD swap. Leave empty to skip this swap.
     * @param _ethAmount amount of ETH to swap to LUSD, has to match with the amount used to obtain @param _ethSwapData.
     * @param _ethSwapData data used to perform ETH -> LUSD swap. Leave empty to skip this swap.
     * @param _amountOutMin the minimum amount of LUSD to be received after the ETH & LQTY -> LUSD swap.
     */
    function reinvest(
        address _swapTarget,
        uint256 _lqtyAmount,
        bytes calldata _lqtySwapData,
        uint256 _ethAmount,
        bytes calldata _ethSwapData,
        uint256 _amountOutMin
    ) external virtual onlyKeeper {
        _checkSwapTarget(_swapTarget);
        _checkMinAssetsProtectionRequirement(_amountOutMin);

        _swapLQTYtoLUSD(_swapTarget, _lqtyAmount, _lqtySwapData);
        _swapETHtoLUSD(_swapTarget, _ethAmount, _ethSwapData);

        // reinvest LUSD gains into the stability pool
        uint256 balance = underlying.balanceOf(address(this));
        if (balance == 0) {
            revert StrategyNothingToReinvest();
        }

        if (balance < _amountOutMin) {
            revert StrategyInsufficientOutputAmount();
        }

        stabilityPool.provideToSP(balance, address(0));

        emit StrategyReinvested(balance);
    }

    /// @inheritdoc IStrategy
    function transferYield(address, uint256)
        external
        virtual
        override(IStrategy)
        onlyManager
        returns (uint256)
    {
        return 0;
    }

    /**
     * Checks if the minimum assets protection requirement is met.
     * The minimum assets protection requirement is the minimum amount of LUSD that needs to be available after reinvesting.
     * Assets that are protected are the principal (user deposits), the sponsored amount and the accumulated performance fee.
     *
     * @param _amountOutMin the minimum amount of LUSD to be received after the ETH & LQTY -> LUSD swap.
     */
    function _checkMinAssetsProtectionRequirement(uint256 _amountOutMin)
        internal
        view
    {
        uint256 minAssetsToProtect = (IVault(vault).totalPrincipal() +
            IVaultSponsoring(vault).totalSponsored() +
            IVault(vault).accumulatedPerfFee()).pctOf(minProtectedAssetsPct);

        // the protection does not make sense if total underlying (assets held in the vault + assets invected in the strategy) is less than what is ment to be protected
        if (IVault(vault).totalUnderlying() < minAssetsToProtect) return;

        // check if the amountOutMin is large enough that total LUSD after reinvesting is greater than the amount that needs to be protected
        if (
            stabilityPool.getCompoundedLUSDDeposit(address(this)) +
                underlying.balanceOf(vault) +
                _amountOutMin >=
            minAssetsToProtect
        ) return;

        revert StrategyMinimumAssetsProtection();
    }

    /**
     * Checks if the provided swap target is 0 address or is not allowed and reverts if any of these conditions is true.
     */
    function _checkSwapTarget(address _swapTarget) internal view {
        _checkSwapTargetForZeroAddress(_swapTarget);

        if (!allowedSwapTargets[_swapTarget])
            revert StrategySwapTargetNotAllowed();
    }

    /**
     * Checks if the provided swap target is 0 address and reverts if true.
     */
    function _checkSwapTargetForZeroAddress(address _swapTarget) internal pure {
        if (_swapTarget == address(0))
            revert StrategySwapTargetCannotBe0Address();
    }

    /**
     * Swaps LQTY tokens held by the strategy to LUSD.
     *
     * @notice Swap data is real-time data obtained from '0x' api.
     *
     * @param _swapTarget the address of the '0x' contract performing the swap.
     * @param _amount the amount of LQTY tokens to swap. Has to match with the amount used to obtain @param _lqtySwapData from '0x' api.
     * @param _lqtySwapData data from '0x' api used to perform LQTY -> LUSD swap.
     */
    function _swapLQTYtoLUSD(
        address _swapTarget,
        uint256 _amount,
        bytes calldata _lqtySwapData
    ) internal {
        // don't do cross-contract call if nothing to swap
        if (_amount == 0 || _lqtySwapData.length == 0) return;

        uint256 lqtyBalance = lqty.balanceOf(address(this));
        if (_amount > lqtyBalance) revert StrategyNotEnoughLQTY();

        lqty.approve(_swapTarget, _amount);

        // perform the swap
        (bool success, ) = _swapTarget.call{value: 0}(_lqtySwapData);
        if (!success) revert StrategyLQTYSwapFailed();
    }

    /**
     * Swaps ETH held by the strategy to LUSD.
     *
     * @notice Swap data is real-time data obtained from '0x' api.
     *
     * @param _swapTarget the address of the '0x' contract performing the swap.
     * @param _amount the amount of ETH to swap. Has to match with the amount used to obtain @param _ethSwapData from '0x' api.
     * @param _ethSwapData data from '0x' api to perform ETH -> LUSD swap.
     */
    function _swapETHtoLUSD(
        address _swapTarget,
        uint256 _amount,
        bytes calldata _ethSwapData
    ) internal {
        // don't do cross-contract call if nothing to swap
        if (_amount == 0 || _ethSwapData.length == 0) return;

        uint256 ethBalance = address(this).balance;
        if (_amount > ethBalance) revert StrategyNotEnoughETH();

        (bool success, ) = _swapTarget.call{value: _amount}(_ethSwapData);

        if (!success) revert StrategyETHSwapFailed();
    }

    function _authorizeUpgrade(address newImplementation)
        internal
        override
        onlyAdmin
    {}

    /**
     * Strategy has to be able to receive ETH as stability pool rewards.
     */
    receive() external payable {}
}

// File: contracts/vault/IVault.sol



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

import {IERC20Metadata} from "@openzeppelin/contracts/token/ERC20/extensions/IERC20Metadata.sol";

interface IVault {
    //
    // Structs
    //

    struct ClaimParams {
        uint16 pct;
        address beneficiary;
        bytes data;
    }

    struct DepositParams {
        address inputToken;
        uint64 lockDuration;
        uint256 amount;
        ClaimParams[] claims;
        string name;
        uint256 amountOutMin;
    }

    struct Deposit {
        /// amount of the deposit
        uint256 amount;
        /// wallet of the owner
        address owner;
        /// wallet of the claimer
        address claimerId;
        /// when can the deposit be withdrawn
        uint256 lockedUntil;
    }

    struct Claimer {
        uint256 totalPrincipal;
        uint256 totalShares;
    }

    //
    // Events
    //

    event DepositMinted(
        uint256 indexed id,
        uint256 groupId,
        uint256 amount,
        uint256 shares,
        address indexed depositor,
        address indexed claimer,
        address claimerId,
        uint64 lockedUntil,
        bytes data,
        string name
    );

    event DepositWithdrawn(
        uint256 indexed id,
        uint256 shares,
        uint256 amount,
        address indexed to,
        bool burned
    );

    event Invested(uint256 amount);

    event Disinvested(uint256 amount);

    event YieldClaimed(
        address claimerId,
        address indexed to,
        uint256 amount,
        uint256 burnedShares,
        uint256 perfFee,
        uint256 totalUnderlying,
        uint256 totalShares
    );

    event FeeWithdrawn(uint256 amount);

    event MinLockPeriodUpdated(uint64 newMinLockPeriod);

    //
    // Public API
    //

    /**
     * Total amount of principal.
     */
    function totalPrincipal() external view returns (uint256);

    /**
     * The accumulated performance fee amount.
     */
    function accumulatedPerfFee() external view returns (uint256);

    /**
     * Update the invested amount;
     */
    function updateInvested() external;

    /**
     * Calculate maximum investable amount and already invested amount
     *
     * @return maxInvestableAmount maximum investable amount
     * @return alreadyInvested already invested amount
     */
    function investState()
        external
        view
        returns (uint256 maxInvestableAmount, uint256 alreadyInvested);

    /**
     * Percentage of the max investable amount until which a deposit is
     * immediately invested into the strategy.
     */
    function immediateInvestLimitPct() external view returns (uint16);

    /**
     * Percentage of the total underlying to invest in the strategy
     */
    function investPct() external view returns (uint16);

    /**
     * Underlying ERC20 token accepted by the vault
     */
    function underlying() external view returns (IERC20Metadata);

    /**
     * Minimum lock period for each deposit
     */
    function minLockPeriod() external view returns (uint64);

    /**
     * Total amount of underlying currently controlled by the
     * vault and the its strategy.
     */
    function totalUnderlying() external view returns (uint256);

    /**
     * Total amount of shares
     */
    function totalShares() external view returns (uint256);

    /**
     * Computes the amount of yield available for an an address.
     *
     * @param _to address to consider.
     *
     * @return claimable yield for @param _to, share of generated yield by @param _to,
     *      and performance fee from generated yield
     */
    function yieldFor(address _to)
        external
        view
        returns (
            uint256,
            uint256,
            uint256
        );

    /**
     * Accumulate performance fee and transfers rest yield generated for the caller to
     *
     * @param _to Address that will receive the yield.
     */
    function claimYield(address _to) external;

    /**
     * Creates a new deposit using the specified group id
     *
     * @param _groupId The group id for the new deposit
     * @param _params Deposit params
     */
    function depositForGroupId(uint256 _groupId, DepositParams calldata _params)
        external
        returns (uint256[] memory);

    /**
     * Creates a new deposit
     *
     * @param _params Deposit params
     */
    function deposit(DepositParams calldata _params)
        external
        returns (uint256[] memory);

    /**
     * Withdraws the principal from the deposits with the ids provided in @param _ids and sends it to @param _to.
     *
     * It fails if the vault is underperforming and there are not enough funds
     * to withdraw the expected amount.
     *
     * @param _to Address that will receive the funds.
     * @param _ids Array with the ids of the deposits.
     */
    function withdraw(address _to, uint256[] calldata _ids) external;

    /**
     * Withdraws the principal from the deposits with the ids provided in @param _ids and sends it to @param _to.
     *
     * When the vault is underperforming it withdraws the funds with a loss.
     *
     * @param _to Address that will receive the funds.
     * @param _ids Array with the ids of the deposits.
     */
    function forceWithdraw(address _to, uint256[] calldata _ids) external;

    /**
     * Withdraws any pending performance fee amount back to the treasury
     */
    function withdrawPerformanceFee() external;
}

// File: contracts/vault/IVaultSponsoring.sol



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

interface IVaultSponsoring {
    //
    // Events
    //

    /// Emitted when a new sponsor deposit is created
    event Sponsored(
        uint256 indexed id,
        uint256 amount,
        address indexed depositor,
        uint256 lockedUntil
    );

    /// Emitted when an existing sponsor withdraws
    event Unsponsored(
        uint256 indexed id,
        uint256 amount,
        address indexed to,
        bool burned
    );

    /**
     * Total amount currently sponsored
     */
    function totalSponsored() external view returns (uint256);

    /**
     * Creates a sponsored deposit with the amount provided in @param _amount.
     * Sponsored amounts will be invested like deposits, but unlike deposits
     * there are no claimers and the yield generated is donated to the vault.
     * The amount is locked until the timestamp specified in @param _lockedUntil.
     *
     * @param _inputToken The input token to deposit.
     * @param _amount Amount to sponsor.
     * @param _lockedUntil When the sponsor can unsponsor the amount.
     */
    function sponsor(
        address _inputToken,
        uint256 _amount,
        uint256 _lockedUntil,
        uint256 _slippage
    ) external;

    /**
     * Withdraws the sponsored amount for the deposits with the ids provided
     * in @param _ids and sends it to @param _to.
     *
     * It fails if the vault is underperforming and there are not enough funds
     * to withdraw the sponsored amount.
     *
     * @param _to Address that will receive the funds.
     * @param _ids Array with the ids of the deposits.
     */
    function unsponsor(address _to, uint256[] calldata _ids) external;

    /**
     * Withdraws the specified sponsored amounts @param _amounts for the deposits with the ids provided
     * in @param _ids and sends it to @param _to.
     *
     * @notice fails if there are not enough funds to withdraw the specified amounts.
     *
     * @param _to Address that will receive the funds.
     * @param _ids Array with the ids of the deposits.
     * @param _amounts Array with the amounts to withdraw.
     */
    function partialUnsponsor(
        address _to,
        uint256[] calldata _ids,
        uint256[] calldata _amounts
    ) external;
}