Contract Address Details

// SPDX-License-Identifier: MIT
pragma solidity 0.8.24;

import "../common/EssentialContract.sol";
import "../common/LibStrings.sol";
import "../libs/LibTrieProof.sol";
import "./ISignalService.sol";

/// @title SignalService
/// @notice See the documentation in {ISignalService} for more details.
/// @dev Labeled in AddressResolver as "signal_service".
/// @custom:security-contact security@taiko.xyz
contract SignalService is EssentialContract, ISignalService {
    /// @notice Mapping to store the top blockId.
    /// @dev Slot 1.
    mapping(uint64 chainId => mapping(bytes32 kind => uint64 blockId)) public topBlockId;

    /// @notice Mapping to store the authorized addresses.
    /// @dev Slot 2.
    mapping(address addr => bool authorized) public isAuthorized;

    uint256[48] private __gap;

    struct CacheAction {
        bytes32 rootHash;
        bytes32 signalRoot;
        uint64 chainId;
        uint64 blockId;
        bool isFullProof;
        bool isLastHop;
        CacheOption option;
    }

    error SS_EMPTY_PROOF();
    error SS_INVALID_HOPS_WITH_LOOP();
    error SS_INVALID_LAST_HOP_CHAINID();
    error SS_INVALID_MID_HOP_CHAINID();
    error SS_INVALID_STATE();
    error SS_SIGNAL_NOT_FOUND();
    error SS_UNAUTHORIZED();

    /// @notice Initializes the contract.
    /// @param _owner The owner of this contract. msg.sender will be used if this value is zero.
    /// @param _addressManager The address of the {AddressManager} contract.
    function init(address _owner, address _addressManager) external initializer {
        __Essential_init(_owner, _addressManager);
    }

    /// @dev Authorize or deauthorize an address for calling syncChainData.
    /// @dev Note that addr is supposed to be TaikoL1 and TaikoL1 contracts deployed locally.
    /// @param _addr The address to be authorized or deauthorized.
    /// @param _authorize True if authorize, false otherwise.
    function authorize(address _addr, bool _authorize) external onlyOwner {
        if (isAuthorized[_addr] == _authorize) revert SS_INVALID_STATE();
        isAuthorized[_addr] = _authorize;
        emit Authorized(_addr, _authorize);
    }

    /// @inheritdoc ISignalService
    function sendSignal(bytes32 _signal) external returns (bytes32) {
        return _sendSignal(msg.sender, _signal, _signal);
    }

    /// @inheritdoc ISignalService
    function syncChainData(
        uint64 _chainId,
        bytes32 _kind,
        uint64 _blockId,
        bytes32 _chainData
    )
        external
        returns (bytes32)
    {
        if (!isAuthorized[msg.sender]) revert SS_UNAUTHORIZED();
        return _syncChainData(_chainId, _kind, _blockId, _chainData);
    }

    /// @inheritdoc ISignalService
    /// @dev This function may revert.
    function proveSignalReceived(
        uint64 _chainId,
        address _app,
        bytes32 _signal,
        bytes calldata _proof
    )
        external
        virtual
        whenNotPaused
        nonReentrant
        returns (uint256 numCacheOps_)
    {
        CacheAction[] memory actions = // actions for caching
         _verifySignalReceived(_chainId, _app, _signal, _proof, true);

        for (uint256 i; i < actions.length; ++i) {
            numCacheOps_ += _cache(actions[i]);
        }
    }

    /// @inheritdoc ISignalService
    /// @dev This function may revert.
    function verifySignalReceived(
        uint64 _chainId,
        address _app,
        bytes32 _signal,
        bytes calldata _proof
    )
        external
        view
    {
        _verifySignalReceived(_chainId, _app, _signal, _proof, false);
    }

    /// @inheritdoc ISignalService
    function isChainDataSynced(
        uint64 _chainId,
        bytes32 _kind,
        uint64 _blockId,
        bytes32 _chainData
    )
        public
        view
        nonZeroValue(_chainData)
        returns (bool)
    {
        bytes32 signal = signalForChainData(_chainId, _kind, _blockId);
        return _loadSignalValue(address(this), signal) == _chainData;
    }

    /// @inheritdoc ISignalService
    function isSignalSent(address _app, bytes32 _signal) public view returns (bool) {
        return _loadSignalValue(_app, _signal) != 0;
    }

    /// @inheritdoc ISignalService
    function getSyncedChainData(
        uint64 _chainId,
        bytes32 _kind,
        uint64 _blockId
    )
        public
        view
        returns (uint64 blockId_, bytes32 chainData_)
    {
        blockId_ = _blockId != 0 ? _blockId : topBlockId[_chainId][_kind];

        if (blockId_ != 0) {
            bytes32 signal = signalForChainData(_chainId, _kind, blockId_);
            chainData_ = _loadSignalValue(address(this), signal);
            if (chainData_ == 0) revert SS_SIGNAL_NOT_FOUND();
        }
    }

    /// @inheritdoc ISignalService
    function signalForChainData(
        uint64 _chainId,
        bytes32 _kind,
        uint64 _blockId
    )
        public
        pure
        returns (bytes32)
    {
        return keccak256(abi.encode(_chainId, _kind, _blockId));
    }

    /// @notice Returns the slot for a signal.
    /// @param _chainId The chainId of the signal.
    /// @param _app The address that initiated the signal.
    /// @param _signal The signal (message) that was sent.
    /// @return The slot for the signal.
    function getSignalSlot(
        uint64 _chainId,
        address _app,
        bytes32 _signal
    )
        public
        pure
        returns (bytes32)
    {
        return keccak256(abi.encodePacked("SIGNAL", _chainId, _app, _signal));
    }

    function _verifyHopProof(
        uint64 _chainId,
        address _app,
        bytes32 _signal,
        bytes32 _value,
        HopProof memory _hop,
        address _signalService
    )
        internal
        view
        virtual
        nonZeroAddr(_app)
        nonZeroValue(_signal)
        nonZeroValue(_value)
        returns (bytes32)
    {
        return LibTrieProof.verifyMerkleProof(
            _hop.rootHash,
            _signalService,
            getSignalSlot(_chainId, _app, _signal),
            _value,
            _hop.accountProof,
            _hop.storageProof
        );
    }

    function _authorizePause(address, bool) internal pure override notImplemented { }

    function _syncChainData(
        uint64 _chainId,
        bytes32 _kind,
        uint64 _blockId,
        bytes32 _chainData
    )
        private
        returns (bytes32 signal_)
    {
        signal_ = signalForChainData(_chainId, _kind, _blockId);
        _sendSignal(address(this), signal_, _chainData);

        if (topBlockId[_chainId][_kind] < _blockId) {
            topBlockId[_chainId][_kind] = _blockId;
        }
        emit ChainDataSynced(_chainId, _blockId, _kind, _chainData, signal_);
    }

    function _sendSignal(
        address _app,
        bytes32 _signal,
        bytes32 _value
    )
        private
        nonZeroAddr(_app)
        nonZeroValue(_signal)
        nonZeroValue(_value)
        returns (bytes32 slot_)
    {
        slot_ = getSignalSlot(uint64(block.chainid), _app, _signal);
        assembly {
            sstore(slot_, _value)
        }
        emit SignalSent(_app, _signal, slot_, _value);
    }

    function _cache(CacheAction memory _action) private returns (uint256 numCacheOps_) {
        // cache state root
        bool cacheStateRoot = _action.option == CacheOption.CACHE_BOTH
            || _action.option == CacheOption.CACHE_STATE_ROOT;

        if (cacheStateRoot && _action.isFullProof && !_action.isLastHop) {
            numCacheOps_ = 1;
            _syncChainData(
                _action.chainId, LibStrings.H_STATE_ROOT, _action.blockId, _action.rootHash
            );
        }

        // cache signal root
        bool cacheSignalRoot = _action.option == CacheOption.CACHE_BOTH
            || _action.option == CacheOption.CACHE_SIGNAL_ROOT;

        if (cacheSignalRoot && (_action.isFullProof || !_action.isLastHop)) {
            numCacheOps_ += 1;
            _syncChainData(
                _action.chainId, LibStrings.H_SIGNAL_ROOT, _action.blockId, _action.signalRoot
            );
        }
    }

    function _loadSignalValue(
        address _app,
        bytes32 _signal
    )
        private
        view
        nonZeroAddr(_app)
        nonZeroValue(_signal)
        returns (bytes32 value_)
    {
        bytes32 slot = getSignalSlot(uint64(block.chainid), _app, _signal);
        assembly {
            value_ := sload(slot)
        }
    }

    function _verifySignalReceived(
        uint64 _chainId,
        address _app,
        bytes32 _signal,
        bytes calldata _proof,
        bool _prepareCaching
    )
        private
        view
        nonZeroAddr(_app)
        nonZeroValue(_signal)
        returns (CacheAction[] memory actions)
    {
        HopProof[] memory hopProofs = abi.decode(_proof, (HopProof[]));
        if (hopProofs.length == 0) revert SS_EMPTY_PROOF();

        uint64[] memory trace = new uint64[](hopProofs.length - 1);

        if (_prepareCaching) {
            actions = new CacheAction[](hopProofs.length);
        }

        uint64 chainId = _chainId;
        address app = _app;
        bytes32 signal = _signal;
        bytes32 value = _signal;
        address signalService = resolve(chainId, LibStrings.B_SIGNAL_SERVICE, false);
        if (signalService == address(this)) revert SS_INVALID_MID_HOP_CHAINID();

        HopProof memory hop;
        bytes32 signalRoot;
        bool isFullProof;
        bool isLastHop;

        for (uint256 i; i < hopProofs.length; ++i) {
            hop = hopProofs[i];

            for (uint256 j; j < i; ++j) {
                if (trace[j] == hop.chainId) revert SS_INVALID_HOPS_WITH_LOOP();
            }

            signalRoot = _verifyHopProof(chainId, app, signal, value, hop, signalService);
            isLastHop = i == trace.length;
            if (isLastHop) {
                if (hop.chainId != block.chainid) revert SS_INVALID_LAST_HOP_CHAINID();
                signalService = address(this);
            } else {
                trace[i] = hop.chainId;

                if (hop.chainId == 0 || hop.chainId == block.chainid) {
                    revert SS_INVALID_MID_HOP_CHAINID();
                }
                signalService = resolve(hop.chainId, LibStrings.B_SIGNAL_SERVICE, false);
                if (signalService == address(this)) revert SS_INVALID_MID_HOP_CHAINID();
            }

            isFullProof = hop.accountProof.length != 0;

            if (_prepareCaching) {
                actions[i] = CacheAction(
                    hop.rootHash,
                    signalRoot,
                    chainId,
                    hop.blockId,
                    isFullProof,
                    isLastHop,
                    hop.cacheOption
                );
            }

            signal = signalForChainData(
                chainId,
                isFullProof ? LibStrings.H_STATE_ROOT : LibStrings.H_SIGNAL_ROOT,
                hop.blockId
            );
            value = hop.rootHash;
            chainId = hop.chainId;
            app = signalService;
        }

        if (value == 0 || value != _loadSignalValue(address(this), signal)) {
            revert SS_SIGNAL_NOT_FOUND();
        }
    }
}
        

// SPDX-License-Identifier: MIT
pragma solidity 0.8.24;

import "@openzeppelin/contracts-upgradeable/proxy/utils/Initializable.sol";
import "./IAddressManager.sol";
import "./IAddressResolver.sol";

/// @title AddressResolver
/// @notice See the documentation in {IAddressResolver}.
/// @custom:security-contact security@taiko.xyz
abstract contract AddressResolver is IAddressResolver, Initializable {
    /// @notice Address of the AddressManager.
    address public addressManager;
    uint256[49] private __gap;

    error RESOLVER_DENIED();
    error RESOLVER_INVALID_MANAGER();
    error RESOLVER_UNEXPECTED_CHAINID();
    error RESOLVER_ZERO_ADDR(uint64 chainId, bytes32 name);

    /// @dev Modifier that ensures the caller is the resolved address of a given
    /// name.
    /// @param _name The name to check against.
    modifier onlyFromNamed(bytes32 _name) {
        if (msg.sender != resolve(_name, true)) revert RESOLVER_DENIED();
        _;
    }

    /// @dev Modifier that ensures the caller is a resolved address to either _name1 or _name2
    /// name.
    /// @param _name1 The first name to check against.
    /// @param _name2 The second name to check against.
    modifier onlyFromNamedEither(bytes32 _name1, bytes32 _name2) {
        if (msg.sender != resolve(_name1, true) && msg.sender != resolve(_name2, true)) {
            revert RESOLVER_DENIED();
        }
        _;
    }

    /// @custom:oz-upgrades-unsafe-allow constructor
    constructor() {
        _disableInitializers();
    }

    /// @inheritdoc IAddressResolver
    function resolve(
        bytes32 _name,
        bool _allowZeroAddress
    )
        public
        view
        virtual
        returns (address payable)
    {
        return _resolve(uint64(block.chainid), _name, _allowZeroAddress);
    }

    /// @inheritdoc IAddressResolver
    function resolve(
        uint64 _chainId,
        bytes32 _name,
        bool _allowZeroAddress
    )
        public
        view
        virtual
        returns (address payable)
    {
        return _resolve(_chainId, _name, _allowZeroAddress);
    }

    /// @dev Initialization method for setting up AddressManager reference.
    /// @param _addressManager Address of the AddressManager.
    function __AddressResolver_init(address _addressManager) internal virtual onlyInitializing {
        if (block.chainid > type(uint64).max) {
            revert RESOLVER_UNEXPECTED_CHAINID();
        }
        addressManager = _addressManager;
    }

    /// @dev Helper method to resolve name-to-address.
    /// @param _chainId The chainId of interest.
    /// @param _name Name whose address is to be resolved.
    /// @param _allowZeroAddress If set to true, does not throw if the resolved
    /// address is `address(0)`.
    /// @return addr_ Address associated with the given name on the specified
    /// chain.
    function _resolve(
        uint64 _chainId,
        bytes32 _name,
        bool _allowZeroAddress
    )
        private
        view
        returns (address payable addr_)
    {
        address _addressManager = addressManager;
        if (_addressManager == address(0)) revert RESOLVER_INVALID_MANAGER();

        addr_ = payable(IAddressManager(_addressManager).getAddress(_chainId, _name));

        if (!_allowZeroAddress && addr_ == address(0)) {
            revert RESOLVER_ZERO_ADDR(_chainId, _name);
        }
    }
}
          

// SPDX-License-Identifier: MIT
pragma solidity 0.8.24;

import "@openzeppelin/contracts/proxy/utils/UUPSUpgradeable.sol";
import "@openzeppelin/contracts-upgradeable/access/Ownable2StepUpgradeable.sol";
import "./AddressResolver.sol";
import "../libs/LibNetwork.sol";

/// @title EssentialContract
/// @custom:security-contact security@taiko.xyz
abstract contract EssentialContract is UUPSUpgradeable, Ownable2StepUpgradeable, AddressResolver {
    uint8 private constant _FALSE = 1;

    uint8 private constant _TRUE = 2;

    /// @dev The slot in transient storage of the reentry lock.
    /// This is the result of keccak256("ownerUUPS.reentry_slot") plus 1. The addition aims to
    /// prevent hash collisions with slots defined in EIP-1967, where slots are derived by
    /// keccak256("something") - 1, and with slots in SignalService, calculated directly with
    /// keccak256("something").
    bytes32 private constant _REENTRY_SLOT =
        0xa5054f728453d3dbe953bdc43e4d0cb97e662ea32d7958190f3dc2da31d9721b;

    /// @dev Slot 1.
    uint8 private __reentry;
    uint8 private __paused;
    uint64 public lastUnpausedAt;

    uint256[49] private __gap;

    /// @notice Emitted when the contract is paused.
    /// @param account The account that paused the contract.
    event Paused(address account);

    /// @notice Emitted when the contract is unpaused.
    /// @param account The account that unpaused the contract.
    event Unpaused(address account);

    error INVALID_PAUSE_STATUS();
    error FUNC_NOT_IMPLEMENTED();
    error REENTRANT_CALL();
    error ZERO_ADDRESS();
    error ZERO_VALUE();

    /// @dev Modifier that ensures the caller is the owner or resolved address of a given name.
    /// @param _name The name to check against.
    modifier onlyFromOwnerOrNamed(bytes32 _name) {
        if (msg.sender != owner() && msg.sender != resolve(_name, true)) revert RESOLVER_DENIED();
        _;
    }

    modifier notImplemented() {
        revert FUNC_NOT_IMPLEMENTED();
        _;
    }

    modifier nonReentrant() {
        if (_loadReentryLock() == _TRUE) revert REENTRANT_CALL();
        _storeReentryLock(_TRUE);
        _;
        _storeReentryLock(_FALSE);
    }

    modifier whenPaused() {
        if (!paused()) revert INVALID_PAUSE_STATUS();
        _;
    }

    modifier whenNotPaused() {
        if (paused()) revert INVALID_PAUSE_STATUS();
        _;
    }

    modifier nonZeroAddr(address _addr) {
        if (_addr == address(0)) revert ZERO_ADDRESS();
        _;
    }

    modifier nonZeroValue(bytes32 _value) {
        if (_value == 0) revert ZERO_VALUE();
        _;
    }

    /// @custom:oz-upgrades-unsafe-allow constructor
    constructor() {
        _disableInitializers();
    }

    /// @notice Pauses the contract.
    function pause() public virtual {
        _pause();
        // We call the authorize function here to avoid:
        // Warning (5740): Unreachable code.
        _authorizePause(msg.sender, true);
    }

    /// @notice Unpauses the contract.
    function unpause() public virtual {
        _unpause();
        // We call the authorize function here to avoid:
        // Warning (5740): Unreachable code.
        _authorizePause(msg.sender, false);
    }

    function impl() public view returns (address) {
        return _getImplementation();
    }

    /// @notice Returns true if the contract is paused, and false otherwise.
    /// @return true if paused, false otherwise.
    function paused() public view returns (bool) {
        return __paused == _TRUE;
    }

    function inNonReentrant() public view returns (bool) {
        return _loadReentryLock() == _TRUE;
    }

    /// @notice Initializes the contract.
    /// @param _owner The owner of this contract. msg.sender will be used if this value is zero.
    /// @param _addressManager The address of the {AddressManager} contract.
    function __Essential_init(
        address _owner,
        address _addressManager
    )
        internal
        nonZeroAddr(_addressManager)
    {
        __Essential_init(_owner);
        __AddressResolver_init(_addressManager);
    }

    function __Essential_init(address _owner) internal virtual onlyInitializing {
        __Context_init();
        _transferOwnership(_owner == address(0) ? msg.sender : _owner);
        __paused = _FALSE;
    }

    function _pause() internal whenNotPaused {
        __paused = _TRUE;
        emit Paused(msg.sender);
    }

    function _unpause() internal whenPaused {
        __paused = _FALSE;
        lastUnpausedAt = uint64(block.timestamp);
        emit Unpaused(msg.sender);
    }

    function _authorizeUpgrade(address) internal virtual override onlyOwner { }

    function _authorizePause(address, bool) internal virtual onlyOwner { }

    // Stores the reentry lock
    function _storeReentryLock(uint8 _reentry) internal virtual {
        if (LibNetwork.isDencunSupported(block.chainid)) {
            assembly {
                tstore(_REENTRY_SLOT, _reentry)
            }
        } else {
            __reentry = _reentry;
        }
    }

    // Loads the reentry lock
    function _loadReentryLock() internal view virtual returns (uint8 reentry_) {
        if (LibNetwork.isDencunSupported(block.chainid)) {
            assembly {
                reentry_ := tload(_REENTRY_SLOT)
            }
        } else {
            reentry_ = __reentry;
        }
    }
}
          

// SPDX-License-Identifier: MIT
pragma solidity 0.8.24;

/// @title IAddressManager
/// @notice Manages a mapping of (chainId, name) pairs to Ethereum addresses.
/// @custom:security-contact security@taiko.xyz
interface IAddressManager {
    /// @notice Gets the address mapped to a specific chainId-name pair.
    /// @dev Note that in production, this method shall be a pure function
    /// without any storage access.
    /// @param _chainId The chainId for which the address needs to be fetched.
    /// @param _name The name for which the address needs to be fetched.
    /// @return Address associated with the chainId-name pair.
    function getAddress(uint64 _chainId, bytes32 _name) external view returns (address);
}
          

// SPDX-License-Identifier: MIT
pragma solidity 0.8.24;

/// @title IAddressResolver
/// @notice This contract acts as a bridge for name-to-address resolution.
/// It delegates the resolution to the AddressManager. By separating the logic,
/// we can maintain flexibility in address management without affecting the
/// resolving process.
/// @dev Note that the address manager should be changed using upgradability, there
/// is no setAddressManager() function to guarantee atomicity across all
/// contracts that are resolvers.
/// @custom:security-contact security@taiko.xyz
interface IAddressResolver {
    /// @notice Resolves a name to its address deployed on this chain.
    /// @param _name Name whose address is to be resolved.
    /// @param _allowZeroAddress If set to true, does not throw if the resolved
    /// address is `address(0)`.
    /// @return Address associated with the given name.
    function resolve(
        bytes32 _name,
        bool _allowZeroAddress
    )
        external
        view
        returns (address payable);

    /// @notice Resolves a name to its address deployed on a specified chain.
    /// @param _chainId The chainId of interest.
    /// @param _name Name whose address is to be resolved.
    /// @param _allowZeroAddress If set to true, does not throw if the resolved
    /// address is `address(0)`.
    /// @return Address associated with the given name on the specified
    /// chain.
    function resolve(
        uint64 _chainId,
        bytes32 _name,
        bool _allowZeroAddress
    )
        external
        view
        returns (address payable);
}
          

// SPDX-License-Identifier: MIT
pragma solidity 0.8.24;

/// @title LibStrings
/// @custom:security-contact security@taiko.xyz
library LibStrings {
    bytes32 internal constant B_ASSIGNMENT_HOOK = bytes32("assignment_hook");
    bytes32 internal constant B_AUTOMATA_DCAP_ATTESTATION = bytes32("automata_dcap_attestation");
    bytes32 internal constant B_BRIDGE = bytes32("bridge");
    bytes32 internal constant B_BRIDGE_WATCHDOG = bytes32("bridge_watchdog");
    bytes32 internal constant B_BRIDGED_ERC1155 = bytes32("bridged_erc1155");
    bytes32 internal constant B_BRIDGED_ERC20 = bytes32("bridged_erc20");
    bytes32 internal constant B_BRIDGED_ERC721 = bytes32("bridged_erc721");
    bytes32 internal constant B_CHAIN_WATCHDOG = bytes32("chain_watchdog");
    bytes32 internal constant B_ERC1155_VAULT = bytes32("erc1155_vault");
    bytes32 internal constant B_ERC20_VAULT = bytes32("erc20_vault");
    bytes32 internal constant B_ERC721_VAULT = bytes32("erc721_vault");
    bytes32 internal constant B_PROPOSER = bytes32("proposer");
    bytes32 internal constant B_PROPOSER_ONE = bytes32("proposer_one");
    bytes32 internal constant B_PROVER_ASSIGNMENT = bytes32("PROVER_ASSIGNMENT");
    bytes32 internal constant B_PROVER_SET = bytes32("prover_set");
    bytes32 internal constant B_QUOTA_MANAGER = bytes32("quota_manager");
    bytes32 internal constant B_SGX_WATCHDOG = bytes32("sgx_watchdog");
    bytes32 internal constant B_SIGNAL_SERVICE = bytes32("signal_service");
    bytes32 internal constant B_TAIKO = bytes32("taiko");
    bytes32 internal constant B_TAIKO_TOKEN = bytes32("taiko_token");
    bytes32 internal constant B_TIER_GUARDIAN = bytes32("tier_guardian");
    bytes32 internal constant B_TIER_GUARDIAN_MINORITY = bytes32("tier_guardian_minority");
    bytes32 internal constant B_TIER_PROVIDER = bytes32("tier_provider");
    bytes32 internal constant B_TIER_SGX = bytes32("tier_sgx");
    bytes32 internal constant B_TIER_SGX_ZKVM = bytes32("tier_sgx_zkvm");
    bytes32 internal constant B_WITHDRAWER = bytes32("withdrawer");
    bytes32 internal constant H_RETURN_LIVENESS_BOND = keccak256("RETURN_LIVENESS_BOND");
    bytes32 internal constant H_SIGNAL_ROOT = keccak256("SIGNAL_ROOT");
    bytes32 internal constant H_STATE_ROOT = keccak256("STATE_ROOT");
}
          

// SPDX-License-Identifier: MIT
pragma solidity 0.8.24;

/// @title LibNetwork
library LibNetwork {
    uint256 internal constant MAINNET = 1;
    uint256 internal constant ROPSTEN = 2;
    uint256 internal constant RINKEBY = 4;
    uint256 internal constant GOERLI = 5;
    uint256 internal constant KOVAN = 42;
    uint256 internal constant HOLESKY = 17_000;
    uint256 internal constant SEPOLIA = 11_155_111;

    uint64 internal constant TAIKO = 167_000;

    /// @dev Checks if the chain ID represents an Ethereum testnet.
    /// @param _chainId The chain ID.
    /// @return true if the chain ID represents an Ethereum testnet, false otherwise.
    function isEthereumTestnet(uint256 _chainId) internal pure returns (bool) {
        return _chainId == LibNetwork.ROPSTEN || _chainId == LibNetwork.RINKEBY
            || _chainId == LibNetwork.GOERLI || _chainId == LibNetwork.KOVAN
            || _chainId == LibNetwork.HOLESKY || _chainId == LibNetwork.SEPOLIA;
    }

    /// @dev Checks if the chain ID represents an Ethereum testnet or the Etheruem mainnet.
    /// @param _chainId The chain ID.
    /// @return true if the chain ID represents an Ethereum testnet or the Etheruem mainnet, false
    /// otherwise.
    function isEthereumMainnetOrTestnet(uint256 _chainId) internal pure returns (bool) {
        return _chainId == LibNetwork.MAINNET || isEthereumTestnet(_chainId);
    }

    /// @dev Checks if the chain ID represents the Taiko L2 mainnet.
    /// @param _chainId The chain ID.
    /// @return true if the chain ID represents the Taiko L2 mainnet.
    function isTaikoMainnet(uint256 _chainId) internal pure returns (bool) {
        return _chainId == TAIKO;
    }

    /// @dev Checks if the chain ID represents an internal Taiko devnet's base layer.
    /// @param _chainId The chain ID.
    /// @return true if the chain ID represents an internal Taiko devnet's base layer, false
    /// otherwise.
    function isTaikoDevnet(uint256 _chainId) internal pure returns (bool) {
        return _chainId >= 32_300 && _chainId <= 32_400;
    }

    /// @dev Checks if the chain supports Dencun hardfork. Note that this check doesn't need to be
    /// exhaustive.
    /// @param _chainId The chain ID.
    /// @return true if the chain supports Dencun hardfork, false otherwise.
    function isDencunSupported(uint256 _chainId) internal pure returns (bool) {
        return _chainId == LibNetwork.MAINNET || _chainId == LibNetwork.HOLESKY
            || _chainId == LibNetwork.SEPOLIA || isTaikoDevnet(_chainId);
    }
}
          

// SPDX-License-Identifier: MIT
//  _____     _ _         _         _
// |_   _|_ _(_) |_____  | |   __ _| |__ ___
//   | |/ _` | | / / _ \ | |__/ _` | '_ (_-<
//   |_|\__,_|_|_\_\___/ |____\__,_|_.__/__/

pragma solidity 0.8.24;

import "../thirdparty/optimism/rlp/RLPReader.sol";
import "../thirdparty/optimism/rlp/RLPWriter.sol";
import "../thirdparty/optimism/trie/SecureMerkleTrie.sol";

/// @title LibTrieProof
/// @custom:security-contact security@taiko.xyz
library LibTrieProof {
    // The consensus format representing account is RLP encoded in the
    // following order: nonce, balance, storageHash, codeHash.
    uint256 private constant _ACCOUNT_FIELD_INDEX_STORAGE_HASH = 2;

    error LTP_INVALID_ACCOUNT_PROOF();
    error LTP_INVALID_INCLUSION_PROOF();

    /// @notice Verifies that the value of a slot in the storage of an account is value.
    ///
    /// @param _rootHash The merkle root of state tree or the account tree. If accountProof's length
    /// is zero, it is used as the account's storage root, otherwise it will be used as the state
    /// root.
    /// @param _addr The address of contract.
    /// @param _slot The slot in the contract.
    /// @param _value The value to be verified.
    /// @param _accountProof The account proof
    /// @param _storageProof The storage proof
    /// @return storageRoot_ The account's storage root
    function verifyMerkleProof(
        bytes32 _rootHash,
        address _addr,
        bytes32 _slot,
        bytes32 _value,
        bytes[] memory _accountProof,
        bytes[] memory _storageProof
    )
        internal
        pure
        returns (bytes32 storageRoot_)
    {
        if (_accountProof.length != 0) {
            bytes memory rlpAccount =
                SecureMerkleTrie.get(abi.encodePacked(_addr), _accountProof, _rootHash);

            if (rlpAccount.length == 0) revert LTP_INVALID_ACCOUNT_PROOF();

            RLPReader.RLPItem[] memory accountState = RLPReader.readList(rlpAccount);

            storageRoot_ =
                bytes32(RLPReader.readBytes(accountState[_ACCOUNT_FIELD_INDEX_STORAGE_HASH]));
        } else {
            storageRoot_ = _rootHash;
        }

        bool verified = SecureMerkleTrie.verifyInclusionProof(
            bytes.concat(_slot), RLPWriter.writeUint(uint256(_value)), _storageProof, storageRoot_
        );

        if (!verified) revert LTP_INVALID_INCLUSION_PROOF();
    }
}
          

// SPDX-License-Identifier: MIT
pragma solidity 0.8.24;

/// @title ISignalService
/// @notice The SignalService contract serves as a secure cross-chain message
/// passing system. It defines methods for sending and verifying signals with
/// merkle proofs. The trust assumption is that the target chain has secure
/// access to the merkle root (such as Taiko injects it in the anchor
/// transaction). With this, verifying a signal is reduced to simply verifying
/// a merkle proof.
/// @custom:security-contact security@taiko.xyz
interface ISignalService {
    enum CacheOption {
        CACHE_NOTHING,
        CACHE_SIGNAL_ROOT,
        CACHE_STATE_ROOT,
        CACHE_BOTH
    }

    struct HopProof {
        /// @notice This hop's destination chain ID. If there is a next hop, this ID is the next
        /// hop's source chain ID.
        uint64 chainId;
        /// @notice The ID of a source chain block whose state root has been synced to the hop's
        /// destination chain.
        /// Note that this block ID must be greater than or equal to the block ID where the signal
        /// was sent on the source chain.
        uint64 blockId;
        /// @notice The state root or signal root of the source chain at the above blockId. This
        /// value has been synced to the destination chain.
        /// @dev To get both the blockId and the rootHash, apps should subscribe to the
        /// ChainDataSynced event or query `topBlockId` first using the source chain's ID and
        /// LibStrings.H_STATE_ROOT to get the most recent block ID synced, then call
        /// `getSyncedChainData` to read the synchronized data.
        bytes32 rootHash;
        /// @notice Options to cache either the state roots or signal roots of middle-hops to the
        /// current chain.
        CacheOption cacheOption;
        /// @notice The signal service's account proof. If this value is empty, then `rootHash` will
        /// be used as the signal root, otherwise, `rootHash` will be used as the state root.
        bytes[] accountProof;
        /// @notice The signal service's storage proof.
        bytes[] storageProof;
    }

    /// @notice Emitted when a remote chain's state root or signal root is
    /// synced locally as a signal.
    /// @param chainId The remote chainId.
    /// @param blockId The chain data's corresponding blockId.
    /// @param kind A value to mark the data type.
    /// @param data The remote data.
    /// @param signal The signal for this chain data.
    event ChainDataSynced(
        uint64 indexed chainId,
        uint64 indexed blockId,
        bytes32 indexed kind,
        bytes32 data,
        bytes32 signal
    );

    /// @notice Emitted when a signal is sent.
    /// @param app The address that initiated the signal.
    /// @param signal The signal (message) that was sent.
    /// @param slot The location in storage where this signal is stored.
    /// @param value The value of the signal.
    event SignalSent(address app, bytes32 signal, bytes32 slot, bytes32 value);

    /// @notice Emitted when an address is authorized or deauthorized.
    /// @param addr The address to be authorized or deauthorized.
    /// @param authorized True if authorized, false otherwise.
    event Authorized(address indexed addr, bool authorized);

    /// @notice Send a signal (message) by setting the storage slot to a value of 1.
    /// @param _signal The signal (message) to send.
    /// @return slot_ The location in storage where this signal is stored.
    function sendSignal(bytes32 _signal) external returns (bytes32 slot_);

    /// @notice Sync a data from a remote chain locally as a signal. The signal is calculated
    /// uniquely from chainId, kind, and data.
    /// @param _chainId The remote chainId.
    /// @param _kind A value to mark the data type.
    /// @param _blockId The chain data's corresponding blockId
    /// @param _chainData The remote data.
    /// @return signal_ The signal for this chain data.
    function syncChainData(
        uint64 _chainId,
        bytes32 _kind,
        uint64 _blockId,
        bytes32 _chainData
    )
        external
        returns (bytes32 signal_);

    /// @notice Verifies if a signal has been received on the target chain.
    /// @param _chainId The identifier for the source chain from which the
    /// signal originated.
    /// @param _app The address that initiated the signal.
    /// @param _signal The signal (message) to send.
    /// @param _proof Merkle proof that the signal was persisted on the
    /// source chain.
    /// @return numCacheOps_ The number of newly cached items.
    function proveSignalReceived(
        uint64 _chainId,
        address _app,
        bytes32 _signal,
        bytes calldata _proof
    )
        external
        returns (uint256 numCacheOps_);

    /// @notice Verifies if a signal has been received on the target chain.
    /// This is the "readonly" version of proveSignalReceived.
    /// @param _chainId The identifier for the source chain from which the
    /// signal originated.
    /// @param _app The address that initiated the signal.
    /// @param _signal The signal (message) to send.
    /// @param _proof Merkle proof that the signal was persisted on the
    /// source chain.
    function verifySignalReceived(
        uint64 _chainId,
        address _app,
        bytes32 _signal,
        bytes calldata _proof
    )
        external
        view;

    /// @notice Verifies if a particular signal has already been sent.
    /// @param _app The address that initiated the signal.
    /// @param _signal The signal (message) that was sent.
    /// @return true if the signal has been sent, otherwise false.
    function isSignalSent(address _app, bytes32 _signal) external view returns (bool);

    /// @notice Checks if a chain data has been synced.
    /// uniquely from chainId, kind, and data.
    /// @param _chainId The remote chainId.
    /// @param _kind A value to mark the data type.
    /// @param _blockId The chain data's corresponding blockId
    /// @param _chainData The remote data.
    /// @return true if the data has been synced, otherwise false.
    function isChainDataSynced(
        uint64 _chainId,
        bytes32 _kind,
        uint64 _blockId,
        bytes32 _chainData
    )
        external
        view
        returns (bool);

    /// @notice Returns the given block's  chain data.
    /// @param _chainId Identifier of the chainId.
    /// @param _kind A value to mark the data type.
    /// @param _blockId The chain data's corresponding block id. If this value is 0, use the top
    /// block id.
    /// @return blockId_ The actual block id.
    /// @return chainData_ The synced chain data.
    function getSyncedChainData(
        uint64 _chainId,
        bytes32 _kind,
        uint64 _blockId
    )
        external
        view
        returns (uint64 blockId_, bytes32 chainData_);

    /// @notice Returns the data to be used for caching slot generation.
    /// @param _chainId Identifier of the chainId.
    /// @param _kind A value to mark the data type.
    /// @param _blockId The chain data's corresponding block id. If this value is 0, use the top
    /// block id.
    /// @return signal_ The signal used for caching slot creation.
    function signalForChainData(
        uint64 _chainId,
        bytes32 _kind,
        uint64 _blockId
    )
        external
        pure
        returns (bytes32 signal_);
}
          

// SPDX-License-Identifier: MIT
pragma solidity 0.8.24;

/// @title Bytes
/// @notice Bytes is a library for manipulating byte arrays.
library Bytes {
    /// @custom:attribution https://github.com/GNSPS/solidity-bytes-utils
    /// @notice Slices a byte array with a given starting index and length. Returns a new byte array
    ///         as opposed to a pointer to the original array. Will throw if trying to slice more
    ///         bytes than exist in the array.
    /// @param _bytes Byte array to slice.
    /// @param _start Starting index of the slice.
    /// @param _length Length of the slice.
    /// @return Slice of the input byte array.
    function slice(
        bytes memory _bytes,
        uint256 _start,
        uint256 _length
    )
        internal
        pure
        returns (bytes memory)
    {
        unchecked {
            require(_length + 31 >= _length, "slice_overflow");
            require(_start + _length >= _start, "slice_overflow");
            require(_bytes.length >= _start + _length, "slice_outOfBounds");
        }

        bytes memory tempBytes;

        assembly {
            switch iszero(_length)
            case 0 {
                // Get a location of some free memory and store it in tempBytes as
                // Solidity does for memory variables.
                tempBytes := mload(0x40)

                // The first word of the slice result is potentially a partial
                // word read from the original array. To read it, we calculate
                // the length of that partial word and start copying that many
                // bytes into the array. The first word we copy will start with
                // data we don't care about, but the last `lengthmod` bytes will
                // land at the beginning of the contents of the new array. When
                // we're done copying, we overwrite the full first word with
                // the actual length of the slice.
                let lengthmod := and(_length, 31)

                // The multiplication in the next line is necessary
                // because when slicing multiples of 32 bytes (lengthmod == 0)
                // the following copy loop was copying the origin's length
                // and then ending prematurely not copying everything it should.
                let mc := add(add(tempBytes, lengthmod), mul(0x20, iszero(lengthmod)))
                let end := add(mc, _length)

                for {
                    // The multiplication in the next line has the same exact purpose
                    // as the one above.
                    let cc := add(add(add(_bytes, lengthmod), mul(0x20, iszero(lengthmod))), _start)
                } lt(mc, end) {
                    mc := add(mc, 0x20)
                    cc := add(cc, 0x20)
                } { mstore(mc, mload(cc)) }

                mstore(tempBytes, _length)

                //update free-memory pointer
                //allocating the array padded to 32 bytes like the compiler does now
                mstore(0x40, and(add(mc, 31), not(31)))
            }
            //if we want a zero-length slice let's just return a zero-length array
            default {
                tempBytes := mload(0x40)

                //zero out the 32 bytes slice we are about to return
                //we need to do it because Solidity does not garbage collect
                mstore(tempBytes, 0)

                mstore(0x40, add(tempBytes, 0x20))
            }
        }

        return tempBytes;
    }

    /// @notice Slices a byte array with a given starting index up to the end of the original byte
    ///         array. Returns a new array rather than a pointer to the original.
    /// @param _bytes Byte array to slice.
    /// @param _start Starting index of the slice.
    /// @return Slice of the input byte array.
    function slice(bytes memory _bytes, uint256 _start) internal pure returns (bytes memory) {
        if (_start >= _bytes.length) {
            return bytes("");
        }
        return slice(_bytes, _start, _bytes.length - _start);
    }

    /// @notice Converts a byte array into a nibble array by splitting each byte into two nibbles.
    ///         Resulting nibble array will be exactly twice as long as the input byte array.
    /// @param _bytes Input byte array to convert.
    /// @return Resulting nibble array.
    function toNibbles(bytes memory _bytes) internal pure returns (bytes memory) {
        bytes memory _nibbles;
        assembly {
            // Grab a free memory offset for the new array
            _nibbles := mload(0x40)

            // Load the length of the passed bytes array from memory
            let bytesLength := mload(_bytes)

            // Calculate the length of the new nibble array
            // This is the length of the input array times 2
            let nibblesLength := shl(0x01, bytesLength)

            // Update the free memory pointer to allocate memory for the new array.
            // To do this, we add the length of the new array + 32 bytes for the array length
            // rounded up to the nearest 32 byte boundary to the current free memory pointer.
            mstore(0x40, add(_nibbles, and(not(0x1F), add(nibblesLength, 0x3F))))

            // Store the length of the new array in memory
            mstore(_nibbles, nibblesLength)

            // Store the memory offset of the _bytes array's contents on the stack
            let bytesStart := add(_bytes, 0x20)

            // Store the memory offset of the nibbles array's contents on the stack
            let nibblesStart := add(_nibbles, 0x20)

            // Loop through each byte in the input array
            for { let i := 0x00 } lt(i, bytesLength) { i := add(i, 0x01) } {
                // Get the starting offset of the next 2 bytes in the nibbles array
                let offset := add(nibblesStart, shl(0x01, i))
                // Load the byte at the current index within the `_bytes` array
                let b := byte(0x00, mload(add(bytesStart, i)))

                // Pull out the first nibble and store it in the new array
                mstore8(offset, shr(0x04, b))
                // Pull out the second nibble and store it in the new array
                mstore8(add(offset, 0x01), and(b, 0x0F))
            }
        }
        return _nibbles;
    }

    /// @notice Compares two byte arrays by comparing their keccak256 hashes.
    /// @param _bytes First byte array to compare.
    /// @param _other Second byte array to compare.
    /// @return true if the two byte arrays are equal, false otherwise.
    function equal(bytes memory _bytes, bytes memory _other) internal pure returns (bool) {
        return keccak256(_bytes) == keccak256(_other);
    }
}
          

// SPDX-License-Identifier: MIT
pragma solidity 0.8.24;

/// @custom:attribution https://github.com/hamdiallam/Solidity-RLP
/// @title RLPReader
/// @notice RLPReader is a library for parsing RLP-encoded byte arrays into Solidity types. Adapted
///         from Solidity-RLP (https://github.com/hamdiallam/Solidity-RLP) by Hamdi Allam with
///         various tweaks to improve readability. (A shout-out to Optimism !)
library RLPReader {
    /// @notice Custom pointer type to avoid confusion between pointers and uint256s.
    type MemoryPointer is uint256;

    /// @notice RLP item types.
    /// @custom:value DATA_ITEM Represents an RLP data item (NOT a list).
    /// @custom:value LIST_ITEM Represents an RLP list item.
    enum RLPItemType {
        DATA_ITEM,
        LIST_ITEM
    }

    /// @notice Struct representing an RLP item.
    /// @custom:field length Length of the RLP item.
    /// @custom:field ptr    Pointer to the RLP item in memory.
    struct RLPItem {
        uint256 length;
        MemoryPointer ptr;
    }

    /// @notice Max list length that this library will accept.
    uint256 internal constant MAX_LIST_LENGTH = 32;

    /// @notice Converts bytes to a reference to memory position and length.
    /// @param _in Input bytes to convert.
    /// @return out_ Output memory reference.
    function toRLPItem(bytes memory _in) internal pure returns (RLPItem memory out_) {
        // Empty arrays are not RLP items.
        require(
            _in.length > 0,
            "RLPReader: length of an RLP item must be greater than zero to be decodable"
        );

        MemoryPointer ptr;
        assembly {
            ptr := add(_in, 32)
        }

        out_ = RLPItem({ length: _in.length, ptr: ptr });
    }

    /// @notice Reads an RLP list value into a list of RLP items.
    /// @param _in RLP list value.
    /// @return out_ Decoded RLP list items.
    function readList(RLPItem memory _in) internal pure returns (RLPItem[] memory out_) {
        (uint256 listOffset, uint256 listLength, RLPItemType itemType) = _decodeLength(_in);

        require(
            itemType == RLPItemType.LIST_ITEM,
            "RLPReader: decoded item type for list is not a list item"
        );

        require(
            listOffset + listLength == _in.length,
            "RLPReader: list item has an invalid data remainder"
        );

        // Solidity in-memory arrays can't be increased in size, but *can* be decreased in size by
        // writing to the length. Since we can't know the number of RLP items without looping over
        // the entire input, we'd have to loop twice to accurately size this array. It's easier to
        // simply set a reasonable maximum list length and decrease the size before we finish.
        out_ = new RLPItem[](MAX_LIST_LENGTH);

        uint256 itemCount = 0;
        uint256 offset = listOffset;
        while (offset < _in.length) {
            (uint256 itemOffset, uint256 itemLength,) = _decodeLength(
                RLPItem({
                    length: _in.length - offset,
                    ptr: MemoryPointer.wrap(MemoryPointer.unwrap(_in.ptr) + offset)
                })
            );

            // We don't need to check itemCount < out.length explicitly because Solidity already
            // handles this check on our behalf, we'd just be wasting gas.
            out_[itemCount] = RLPItem({
                length: itemLength + itemOffset,
                ptr: MemoryPointer.wrap(MemoryPointer.unwrap(_in.ptr) + offset)
            });

            itemCount += 1;
            offset += itemOffset + itemLength;
        }

        // Decrease the array size to match the actual item count.
        assembly {
            mstore(out_, itemCount)
        }
    }

    /// @notice Reads an RLP list value into a list of RLP items.
    /// @param _in RLP list value.
    /// @return out_ Decoded RLP list items.
    function readList(bytes memory _in) internal pure returns (RLPItem[] memory out_) {
        out_ = readList(toRLPItem(_in));
    }

    /// @notice Reads an RLP bytes value into bytes.
    /// @param _in RLP bytes value.
    /// @return out_ Decoded bytes.
    function readBytes(RLPItem memory _in) internal pure returns (bytes memory out_) {
        (uint256 itemOffset, uint256 itemLength, RLPItemType itemType) = _decodeLength(_in);

        require(
            itemType == RLPItemType.DATA_ITEM,
            "RLPReader: decoded item type for bytes is not a data item"
        );

        require(
            _in.length == itemOffset + itemLength,
            "RLPReader: bytes value contains an invalid remainder"
        );

        out_ = _copy(_in.ptr, itemOffset, itemLength);
    }

    /// @notice Reads an RLP bytes value into bytes.
    /// @param _in RLP bytes value.
    /// @return out_ Decoded bytes.
    function readBytes(bytes memory _in) internal pure returns (bytes memory out_) {
        out_ = readBytes(toRLPItem(_in));
    }

    /// @notice Reads the raw bytes of an RLP item.
    /// @param _in RLP item to read.
    /// @return out_ Raw RLP bytes.
    function readRawBytes(RLPItem memory _in) internal pure returns (bytes memory out_) {
        out_ = _copy(_in.ptr, 0, _in.length);
    }

    /// @notice Decodes the length of an RLP item.
    /// @param _in RLP item to decode.
    /// @return offset_ Offset of the encoded data.
    /// @return length_ Length of the encoded data.
    /// @return type_ RLP item type (LIST_ITEM or DATA_ITEM).
    function _decodeLength(RLPItem memory _in)
        private
        pure
        returns (uint256 offset_, uint256 length_, RLPItemType type_)
    {
        // Short-circuit if there's nothing to decode, note that we perform this check when
        // the user creates an RLP item via toRLPItem, but it's always possible for them to bypass
        // that function and create an RLP item directly. So we need to check this anyway.
        require(
            _in.length > 0,
            "RLPReader: length of an RLP item must be greater than zero to be decodable"
        );

        MemoryPointer ptr = _in.ptr;
        uint256 prefix;
        assembly {
            prefix := byte(0, mload(ptr))
        }

        if (prefix <= 0x7f) {
            // Single byte.
            return (0, 1, RLPItemType.DATA_ITEM);
        } else if (prefix <= 0xb7) {
            // Short string.

            // slither-disable-next-line variable-scope
            uint256 strLen = prefix - 0x80;

            require(
                _in.length > strLen,
                "RLPReader: length of content must be greater than string length (short string)"
            );

            bytes1 firstByteOfContent;
            assembly {
                firstByteOfContent := and(mload(add(ptr, 1)), shl(248, 0xff))
            }

            require(
                strLen != 1 || firstByteOfContent >= 0x80,
                "RLPReader: invalid prefix, single byte < 0x80 are not prefixed (short string)"
            );

            return (1, strLen, RLPItemType.DATA_ITEM);
        } else if (prefix <= 0xbf) {
            // Long string.
            uint256 lenOfStrLen = prefix - 0xb7;

            require(
                _in.length > lenOfStrLen,
                "RLPReader: length of content must be > than length of string length (long string)"
            );

            bytes1 firstByteOfContent;
            assembly {
                firstByteOfContent := and(mload(add(ptr, 1)), shl(248, 0xff))
            }

            require(
                firstByteOfContent != 0x00,
                "RLPReader: length of content must not have any leading zeros (long string)"
            );

            uint256 strLen;
            assembly {
                strLen := shr(sub(256, mul(8, lenOfStrLen)), mload(add(ptr, 1)))
            }

            require(
                strLen > 55,
                "RLPReader: length of content must be greater than 55 bytes (long string)"
            );

            require(
                _in.length > lenOfStrLen + strLen,
                "RLPReader: length of content must be greater than total length (long string)"
            );

            return (1 + lenOfStrLen, strLen, RLPItemType.DATA_ITEM);
        } else if (prefix <= 0xf7) {
            // Short list.
            // slither-disable-next-line variable-scope
            uint256 listLen = prefix - 0xc0;

            require(
                _in.length > listLen,
                "RLPReader: length of content must be greater than list length (short list)"
            );

            return (1, listLen, RLPItemType.LIST_ITEM);
        } else {
            // Long list.
            uint256 lenOfListLen = prefix - 0xf7;

            require(
                _in.length > lenOfListLen,
                "RLPReader: length of content must be > than length of list length (long list)"
            );

            bytes1 firstByteOfContent;
            assembly {
                firstByteOfContent := and(mload(add(ptr, 1)), shl(248, 0xff))
            }

            require(
                firstByteOfContent != 0x00,
                "RLPReader: length of content must not have any leading zeros (long list)"
            );

            uint256 listLen;
            assembly {
                listLen := shr(sub(256, mul(8, lenOfListLen)), mload(add(ptr, 1)))
            }

            require(
                listLen > 55,
                "RLPReader: length of content must be greater than 55 bytes (long list)"
            );

            require(
                _in.length > lenOfListLen + listLen,
                "RLPReader: length of content must be greater than total length (long list)"
            );

            return (1 + lenOfListLen, listLen, RLPItemType.LIST_ITEM);
        }
    }

    /// @notice Copies the bytes from a memory location.
    /// @param _src    Pointer to the location to read from.
    /// @param _offset Offset to start reading from.
    /// @param _length Number of bytes to read.
    /// @return out_ Copied bytes.
    function _copy(
        MemoryPointer _src,
        uint256 _offset,
        uint256 _length
    )
        private
        pure
        returns (bytes memory out_)
    {
        out_ = new bytes(_length);
        if (_length == 0) {
            return out_;
        }

        // Mostly based on Solidity's copy_memory_to_memory:
        // solhint-disable max-line-length
        // https://github.com/ethereum/solidity/blob/34dd30d71b4da730488be72ff6af7083cf2a91f6/libsolidity/codegen/YulUtilFunctions.cpp#L102-L114
        uint256 src = MemoryPointer.unwrap(_src) + _offset;
        assembly {
            let dest := add(out_, 32)
            let i := 0
            for { } lt(i, _length) { i := add(i, 32) } { mstore(add(dest, i), mload(add(src, i))) }

            if gt(i, _length) { mstore(add(dest, _length), 0) }
        }
    }
}
          

// SPDX-License-Identifier: MIT
pragma solidity 0.8.24;

/// @custom:attribution https://github.com/bakaoh/solidity-rlp-encode
/// @title RLPWriter
/// @author RLPWriter is a library for encoding Solidity types to RLP bytes. Adapted from Bakaoh's
///         RLPEncode library (https://github.com/bakaoh/solidity-rlp-encode) with minor
///         modifications to improve legibility. (A shout-out to Optimism !)
library RLPWriter {
    /// @notice RLP encodes a byte string.
    /// @param _in The byte string to encode.
    /// @return out_ The RLP encoded string in bytes.
    function writeBytes(bytes memory _in) internal pure returns (bytes memory out_) {
        if (_in.length == 1 && uint8(_in[0]) < 128) {
            out_ = _in;
        } else {
            out_ = abi.encodePacked(_writeLength(_in.length, 128), _in);
        }
    }

    /// @notice RLP encodes a uint.
    /// @param _in The uint256 to encode.
    /// @return out_ The RLP encoded uint256 in bytes.
    function writeUint(uint256 _in) internal pure returns (bytes memory out_) {
        out_ = writeBytes(_toBinary(_in));
    }

    /// @notice Encode the first byte and then the `len` in binary form if `length` is more than 55.
    /// @param _len    The length of the string or the payload.
    /// @param _offset 128 if item is string, 192 if item is list.
    /// @return out_ RLP encoded bytes.
    function _writeLength(uint256 _len, uint256 _offset) private pure returns (bytes memory out_) {
        if (_len < 56) {
            out_ = new bytes(1);
            out_[0] = bytes1(uint8(_len) + uint8(_offset));
        } else {
            uint256 lenLen;
            uint256 i = 1;
            while (_len / i != 0) {
                lenLen++;
                i *= 256;
            }

            out_ = new bytes(lenLen + 1);
            out_[0] = bytes1(uint8(lenLen) + uint8(_offset) + 55);
            for (i = 1; i <= lenLen; i++) {
                out_[i] = bytes1(uint8((_len / (256 ** (lenLen - i))) % 256));
            }
        }
    }

    /// @notice Encode integer in big endian binary form with no leading zeroes.
    /// @param _x The integer to encode.
    /// @return out_ RLP encoded bytes.
    function _toBinary(uint256 _x) private pure returns (bytes memory out_) {
        bytes memory b = abi.encodePacked(_x);

        uint256 i = 0;
        for (; i < 32; i++) {
            if (b[i] != 0) {
                break;
            }
        }

        out_ = new bytes(32 - i);
        for (uint256 j = 0; j < out_.length; j++) {
            out_[j] = b[i++];
        }
    }
}
          

// SPDX-License-Identifier: MIT
pragma solidity 0.8.24;

import { Bytes } from "../Bytes.sol";
import { RLPReader } from "../rlp/RLPReader.sol";

/// @title MerkleTrie
/// @notice MerkleTrie is a small library for verifying standard Ethereum Merkle-Patricia trie
///         inclusion proofs. By default, this library assumes a hexary trie. One can change the
///         trie radix constant to support other trie radixes.
library MerkleTrie {
    /// @notice Struct representing a node in the trie.
    /// @custom:field encoded The RLP-encoded node.
    /// @custom:field decoded The RLP-decoded node.
    struct TrieNode {
        bytes encoded;
        RLPReader.RLPItem[] decoded;
    }

    /// @notice Determines the number of elements per branch node.
    uint256 internal constant TREE_RADIX = 16;

    /// @notice Branch nodes have TREE_RADIX elements and one value element.
    uint256 internal constant BRANCH_NODE_LENGTH = TREE_RADIX + 1;

    /// @notice Leaf nodes and extension nodes have two elements, a `path` and a `value`.
    uint256 internal constant LEAF_OR_EXTENSION_NODE_LENGTH = 2;

    /// @notice Prefix for even-nibbled extension node paths.
    uint8 internal constant PREFIX_EXTENSION_EVEN = 0;

    /// @notice Prefix for odd-nibbled extension node paths.
    uint8 internal constant PREFIX_EXTENSION_ODD = 1;

    /// @notice Prefix for even-nibbled leaf node paths.
    uint8 internal constant PREFIX_LEAF_EVEN = 2;

    /// @notice Prefix for odd-nibbled leaf node paths.
    uint8 internal constant PREFIX_LEAF_ODD = 3;

    /// @notice Verifies a proof that a given key/value pair is present in the trie.
    /// @param _key   Key of the node to search for, as a hex string.
    /// @param _value Value of the node to search for, as a hex string.
    /// @param _proof Merkle trie inclusion proof for the desired node. Unlike traditional Merkle
    ///               trees, this proof is executed top-down and consists of a list of RLP-encoded
    ///               nodes that make a path down to the target node.
    /// @param _root  Known root of the Merkle trie. Used to verify that the included proof is
    ///               correctly constructed.
    /// @return valid_ Whether or not the proof is valid.
    function verifyInclusionProof(
        bytes memory _key,
        bytes memory _value,
        bytes[] memory _proof,
        bytes32 _root
    )
        internal
        pure
        returns (bool valid_)
    {
        valid_ = Bytes.equal(_value, get(_key, _proof, _root));
    }

    /// @notice Retrieves the value associated with a given key.
    /// @param _key   Key to search for, as hex bytes.
    /// @param _proof Merkle trie inclusion proof for the key.
    /// @param _root  Known root of the Merkle trie.
    /// @return value_ Value of the key if it exists.
    function get(
        bytes memory _key,
        bytes[] memory _proof,
        bytes32 _root
    )
        internal
        pure
        returns (bytes memory value_)
    {
        require(_key.length > 0, "MerkleTrie: empty key");

        TrieNode[] memory proof = _parseProof(_proof);
        bytes memory key = Bytes.toNibbles(_key);
        bytes memory currentNodeID = abi.encodePacked(_root);
        uint256 currentKeyIndex = 0;

        // Proof is top-down, so we start at the first element (root).
        for (uint256 i = 0; i < proof.length; i++) {
            TrieNode memory currentNode = proof[i];

            // Key index should never exceed total key length or we'll be out of bounds.
            require(currentKeyIndex <= key.length, "MerkleTrie: key index exceeds total key length");

            if (currentKeyIndex == 0) {
                // First proof element is always the root node.
                require(
                    Bytes.equal(abi.encodePacked(keccak256(currentNode.encoded)), currentNodeID),
                    "MerkleTrie: invalid root hash"
                );
            } else if (currentNode.encoded.length >= 32) {
                // Nodes 32 bytes or larger are hashed inside branch nodes.
                require(
                    Bytes.equal(abi.encodePacked(keccak256(currentNode.encoded)), currentNodeID),
                    "MerkleTrie: invalid large internal hash"
                );
            } else {
                // Nodes smaller than 32 bytes aren't hashed.
                require(
                    Bytes.equal(currentNode.encoded, currentNodeID),
                    "MerkleTrie: invalid internal node hash"
                );
            }

            if (currentNode.decoded.length == BRANCH_NODE_LENGTH) {
                if (currentKeyIndex == key.length) {
                    // Value is the last element of the decoded list (for branch nodes). There's
                    // some ambiguity in the Merkle trie specification because bytes(0) is a
                    // valid value to place into the trie, but for branch nodes bytes(0) can exist
                    // even when the value wasn't explicitly placed there. Geth treats a value of
                    // bytes(0) as "key does not exist" and so we do the same.
                    value_ = RLPReader.readBytes(currentNode.decoded[TREE_RADIX]);
                    require(
                        value_.length > 0,
                        "MerkleTrie: value length must be greater than zero (branch)"
                    );

                    // Extra proof elements are not allowed.
                    require(
                        i == proof.length - 1,
                        "MerkleTrie: value node must be last node in proof (branch)"
                    );

                    return value_;
                } else {
                    // We're not at the end of the key yet.
                    // Figure out what the next node ID should be and continue.
                    uint8 branchKey = uint8(key[currentKeyIndex]);
                    RLPReader.RLPItem memory nextNode = currentNode.decoded[branchKey];
                    currentNodeID = _getNodeID(nextNode);
                    currentKeyIndex += 1;
                }
            } else if (currentNode.decoded.length == LEAF_OR_EXTENSION_NODE_LENGTH) {
                bytes memory path = _getNodePath(currentNode);
                uint8 prefix = uint8(path[0]);
                uint8 offset = 2 - (prefix % 2);
                bytes memory pathRemainder = Bytes.slice(path, offset);
                bytes memory keyRemainder = Bytes.slice(key, currentKeyIndex);
                uint256 sharedNibbleLength = _getSharedNibbleLength(pathRemainder, keyRemainder);

                // Whether this is a leaf node or an extension node, the path remainder MUST be a
                // prefix of the key remainder (or be equal to the key remainder) or the proof is
                // considered invalid.
                require(
                    pathRemainder.length == sharedNibbleLength,
                    "MerkleTrie: path remainder must share all nibbles with key"
                );

                if (prefix == PREFIX_LEAF_EVEN || prefix == PREFIX_LEAF_ODD) {
                    // Prefix of 2 or 3 means this is a leaf node. For the leaf node to be valid,
                    // the key remainder must be exactly equal to the path remainder. We already
                    // did the necessary byte comparison, so it's more efficient here to check that
                    // the key remainder length equals the shared nibble length, which implies
                    // equality with the path remainder (since we already did the same check with
                    // the path remainder and the shared nibble length).
                    require(
                        keyRemainder.length == sharedNibbleLength,
                        "MerkleTrie: key remainder must be identical to path remainder"
                    );

                    // Our Merkle Trie is designed specifically for the purposes of the Ethereum
                    // state trie. Empty values are not allowed in the state trie, so we can safely
                    // say that if the value is empty, the key should not exist and the proof is
                    // invalid.
                    value_ = RLPReader.readBytes(currentNode.decoded[1]);
                    require(
                        value_.length > 0,
                        "MerkleTrie: value length must be greater than zero (leaf)"
                    );

                    // Extra proof elements are not allowed.
                    require(
                        i == proof.length - 1,
                        "MerkleTrie: value node must be last node in proof (leaf)"
                    );

                    return value_;
                } else if (prefix == PREFIX_EXTENSION_EVEN || prefix == PREFIX_EXTENSION_ODD) {
                    // Prefix of 0 or 1 means this is an extension node. We move onto the next node
                    // in the proof and increment the key index by the length of the path remainder
                    // which is equal to the shared nibble length.
                    currentNodeID = _getNodeID(currentNode.decoded[1]);
                    currentKeyIndex += sharedNibbleLength;
                } else {
                    revert("MerkleTrie: received a node with an unknown prefix");
                }
            } else {
                revert("MerkleTrie: received an unparseable node");
            }
        }

        revert("MerkleTrie: ran out of proof elements");
    }

    /// @notice Parses an array of proof elements into a new array that contains both the original
    ///         encoded element and the RLP-decoded element.
    /// @param _proof Array of proof elements to parse.
    /// @return proof_ Proof parsed into easily accessible structs.
    function _parseProof(bytes[] memory _proof) private pure returns (TrieNode[] memory proof_) {
        uint256 length = _proof.length;
        proof_ = new TrieNode[](length);
        for (uint256 i = 0; i < length; ++i) {
            proof_[i] = TrieNode({ encoded: _proof[i], decoded: RLPReader.readList(_proof[i]) });
        }
    }

    /// @notice Picks out the ID for a node. Node ID is referred to as the "hash" within the
    ///         specification, but nodes < 32 bytes are not actually hashed.
    /// @param _node Node to pull an ID for.
    /// @return id_ ID for the node, depending on the size of its contents.
    function _getNodeID(RLPReader.RLPItem memory _node) private pure returns (bytes memory id_) {
        id_ = _node.length < 32 ? RLPReader.readRawBytes(_node) : RLPReader.readBytes(_node);
    }

    /// @notice Gets the path for a leaf or extension node.
    /// @param _node Node to get a path for.
    /// @return nibbles_ Node path, converted to an array of nibbles.
    function _getNodePath(TrieNode memory _node) private pure returns (bytes memory nibbles_) {
        nibbles_ = Bytes.toNibbles(RLPReader.readBytes(_node.decoded[0]));
    }

    /// @notice Utility; determines the number of nibbles shared between two nibble arrays.
    /// @param _a First nibble array.
    /// @param _b Second nibble array.
    /// @return shared_ Number of shared nibbles.
    function _getSharedNibbleLength(
        bytes memory _a,
        bytes memory _b
    )
        private
        pure
        returns (uint256 shared_)
    {
        uint256 max = (_a.length < _b.length) ? _a.length : _b.length;
        for (; shared_ < max && _a[shared_] == _b[shared_];) {
            unchecked {
                ++shared_;
            }
        }
    }
}
          

// SPDX-License-Identifier: MIT
pragma solidity 0.8.24;

import { MerkleTrie } from "./MerkleTrie.sol";

/// @title SecureMerkleTrie
/// @notice SecureMerkleTrie is a thin wrapper around the MerkleTrie library that hashes the input
///         keys. Ethereum's state trie hashes input keys before storing them.
library SecureMerkleTrie {
    /// @notice Verifies a proof that a given key/value pair is present in the Merkle trie.
    /// @param _key   Key of the node to search for, as a hex string.
    /// @param _value Value of the node to search for, as a hex string.
    /// @param _proof Merkle trie inclusion proof for the desired node. Unlike traditional Merkle
    ///               trees, this proof is executed top-down and consists of a list of RLP-encoded
    ///               nodes that make a path down to the target node.
    /// @param _root  Known root of the Merkle trie. Used to verify that the included proof is
    ///               correctly constructed.
    /// @return valid_ Whether or not the proof is valid.
    function verifyInclusionProof(
        bytes memory _key,
        bytes memory _value,
        bytes[] memory _proof,
        bytes32 _root
    )
        internal
        pure
        returns (bool valid_)
    {
        bytes memory key = _getSecureKey(_key);
        valid_ = MerkleTrie.verifyInclusionProof(key, _value, _proof, _root);
    }

    /// @notice Retrieves the value associated with a given key.
    /// @param _key   Key to search for, as hex bytes.
    /// @param _proof Merkle trie inclusion proof for the key.
    /// @param _root  Known root of the Merkle trie.
    /// @return value_ Value of the key if it exists.
    function get(
        bytes memory _key,
        bytes[] memory _proof,
        bytes32 _root
    )
        internal
        pure
        returns (bytes memory value_)
    {
        bytes memory key = _getSecureKey(_key);
        value_ = MerkleTrie.get(key, _proof, _root);
    }

    /// @notice Computes the hashed version of the input key.
    /// @param _key Key to hash.
    /// @return hash_ Hashed version of the key.
    function _getSecureKey(bytes memory _key) private pure returns (bytes memory hash_) {
        hash_ = abi.encodePacked(keccak256(_key));
    }
}
          

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (access/Ownable2Step.sol)

pragma solidity ^0.8.0;

import "./OwnableUpgradeable.sol";
import {Initializable} from "../proxy/utils/Initializable.sol";

/**
 * @dev Contract module which provides access control mechanism, where
 * there is an account (an owner) that can be granted exclusive access to
 * specific functions.
 *
 * By default, the owner account will be the one that deploys the contract. This
 * can later be changed with {transferOwnership} and {acceptOwnership}.
 *
 * This module is used through inheritance. It will make available all functions
 * from parent (Ownable).
 */
abstract contract Ownable2StepUpgradeable is Initializable, OwnableUpgradeable {
    address private _pendingOwner;

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

    function __Ownable2Step_init() internal onlyInitializing {
        __Ownable_init_unchained();
    }

    function __Ownable2Step_init_unchained() internal onlyInitializing {
    }
    /**
     * @dev Returns the address of the pending owner.
     */
    function pendingOwner() public view virtual returns (address) {
        return _pendingOwner;
    }

    /**
     * @dev Starts the ownership transfer of the contract to a new account. Replaces the pending transfer if there is one.
     * Can only be called by the current owner.
     */
    function transferOwnership(address newOwner) public virtual override onlyOwner {
        _pendingOwner = newOwner;
        emit OwnershipTransferStarted(owner(), newOwner);
    }

    /**
     * @dev Transfers ownership of the contract to a new account (`newOwner`) and deletes any pending owner.
     * Internal function without access restriction.
     */
    function _transferOwnership(address newOwner) internal virtual override {
        delete _pendingOwner;
        super._transferOwnership(newOwner);
    }

    /**
     * @dev The new owner accepts the ownership transfer.
     */
    function acceptOwnership() public virtual {
        address sender = _msgSender();
        require(pendingOwner() == sender, "Ownable2Step: caller is not the new owner");
        _transferOwnership(sender);
    }

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

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

pragma solidity ^0.8.0;

import "../utils/ContextUpgradeable.sol";
import {Initializable} from "../proxy/utils/Initializable.sol";

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

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

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

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

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

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

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

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

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

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

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

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

pragma solidity ^0.8.2;

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

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

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

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

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

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

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

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

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

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

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

pragma solidity ^0.8.1;

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

        return account.code.length > 0;
    }

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

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

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

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

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

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

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

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

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

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

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

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

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

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.4) (utils/Context.sol)

pragma solidity ^0.8.0;
import {Initializable} from "../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;
    }

    function _contextSuffixLength() internal view virtual returns (uint256) {
        return 0;
    }

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

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

pragma solidity ^0.8.0;

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

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

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

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

pragma solidity ^0.8.0;

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

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

pragma solidity ^0.8.2;

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

pragma solidity ^0.8.0;

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

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

pragma solidity ^0.8.0;

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

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

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

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

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

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

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

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

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

pragma solidity ^0.8.1;

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

        return account.code.length > 0;
    }

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

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

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

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

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

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

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

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

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

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

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

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

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

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

pragma solidity ^0.8.0;

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

    struct BooleanSlot {
        bool value;
    }

    struct Bytes32Slot {
        bytes32 value;
    }

    struct Uint256Slot {
        uint256 value;
    }

    struct StringSlot {
        string value;
    }

    struct BytesSlot {
        bytes value;
    }

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

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

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

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

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

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

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

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