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// SPDX-License-Identifier: MIT
pragma solidity 0.8.20;

import {ERC2771Forwarder, Address} from "../lib/openzeppelin-contracts/contracts/metatx/ERC2771Forwarder.sol";

/* solhint-disable meta-transactions/no-msg-sender */

/// @title TrustedMulticallForwarder
/// @notice Aggregate results from multiple function calls
/// @dev Derived from Multicall3
/// @dev Modified for support to bubble errors
/// @dev Multicall & Multicall2 backwards-compatible
/// @dev Aggregate methods are marked `payable` to save 24 gas per call
/// @dev Includes ERC-2771 trusted forwarder functionality
/// @author Michael Elliot <[email protected]>
/// @author Joshua Levine <[email protected]>
/// @author Nick Johnson <[email protected]>
/// @author Andreas Bigger <[email protected]>
/// @author Matt Solomon <[email protected]>
/// @author Daniel Beal <[email protected]>
/// @author Noah Litvin <[email protected]>
/// @author Jared Borders <[email protected]>
contract TrustedMulticallForwarder is ERC2771Forwarder {
    struct Call {
        address target;
        bytes callData;
    }

    struct Call3 {
        address target;
        bool requireSuccess;
        bytes callData;
    }

    struct Call3Value {
        address target;
        bool requireSuccess;
        uint256 value;
        bytes callData;
    }

    struct Result {
        bool success;
        bytes returnData;
    }

    constructor() ERC2771Forwarder("trusted-multicall-forwarder") {}

    /// @notice Backwards-compatible call aggregation with Multicall
    /// @param calls An array of Call structs
    /// @return blockNumber The block number where the calls were executed
    /// @return returnData An array of bytes containing the responses
    function aggregate(
        Call[] calldata calls
    ) public returns (uint256 blockNumber, bytes[] memory returnData) {
        blockNumber = block.number;
        uint256 length = calls.length;
        returnData = new bytes[](length);
        Call calldata call;
        for (uint256 i = 0; i < length; ) {
            bool success;
            call = calls[i];
            (success, returnData[i]) = call.target.call(
                abi.encodePacked(call.callData, msg.sender)
            );
            if (!success) {
                bytes memory revertData = returnData[i];
                uint256 len = revertData.length;
                assembly {
                    revert(add(revertData, 0x20), len)
                }
            }

            unchecked {
                ++i;
            }
        }
    }

    /// @notice Backwards-compatible with Multicall2
    /// @notice Aggregate calls without requiring success
    /// @param requireSuccess If true, require all calls to succeed
    /// @param calls An array of Call structs
    /// @return returnData An array of Result structs
    function tryAggregate(
        bool requireSuccess,
        Call[] calldata calls
    ) public returns (Result[] memory returnData) {
        uint256 length = calls.length;
        returnData = new Result[](length);
        Call calldata call;
        for (uint256 i = 0; i < length; ) {
            Result memory result = returnData[i];
            call = calls[i];
            (result.success, result.returnData) = call.target.call(
                abi.encodePacked(call.callData, msg.sender)
            );
            if (requireSuccess && !result.success) {
                bytes memory revertData = result.returnData;
                uint256 len = revertData.length;
                assembly {
                    revert(add(revertData, 0x20), len)
                }
            }
            unchecked {
                ++i;
            }
        }
    }

    /// @notice Backwards-compatible with Multicall2
    /// @notice Aggregate calls and allow failures using tryAggregate
    /// @param calls An array of Call structs
    /// @return blockNumber The block number where the calls were executed
    /// @return blockHash The hash of the block where the calls were executed
    /// @return returnData An array of Result structs
    function tryBlockAndAggregate(
        bool requireSuccess,
        Call[] calldata calls
    ) public payable returns (uint256 blockNumber, bytes32 blockHash, Result[] memory returnData) {
        blockNumber = block.number;
        blockHash = blockhash(block.number);
        returnData = tryAggregate(requireSuccess, calls);
    }

    /// @notice Backwards-compatible with Multicall2
    /// @notice Aggregate calls and allow failures using tryAggregate
    /// @param calls An array of Call structs
    /// @return blockNumber The block number where the calls were executed
    /// @return blockHash The hash of the block where the calls were executed
    /// @return returnData An array of Result structs
    function blockAndAggregate(
        Call[] calldata calls
    ) public payable returns (uint256 blockNumber, bytes32 blockHash, Result[] memory returnData) {
        (blockNumber, blockHash, returnData) = tryBlockAndAggregate(true, calls);
    }

    /// @notice Aggregate calls, ensuring each returns success if required
    /// @param calls An array of Call3 structs
    /// @return returnData An array of Result structs
    function aggregate3(
        Call3[] calldata calls
    ) public payable returns (Result[] memory returnData) {
        uint256 length = calls.length;
        returnData = new Result[](length);
        Call3 calldata calli;
        for (uint256 i = 0; i < length; ) {
            Result memory result = returnData[i];
            calli = calls[i];
            (result.success, result.returnData) = calli.target.call(
                abi.encodePacked(calli.callData, msg.sender)
            );
            if (calli.requireSuccess && !result.success) {
                bytes memory revertData = result.returnData;
                uint256 len = revertData.length;
                assembly {
                    revert(add(revertData, 0x20), len)
                }
            }
            unchecked {
                ++i;
            }
        }
    }

    /// @notice Aggregate calls with a msg value
    /// @notice Reverts if msg.value is less than the sum of the call values
    /// @param calls An array of Call3Value structs
    /// @return returnData An array of Result structs
    function aggregate3Value(
        Call3Value[] calldata calls
    ) public payable returns (Result[] memory returnData) {
        uint256 valAccumulator;
        uint256 length = calls.length;
        returnData = new Result[](length);
        Call3Value calldata calli;
        for (uint256 i = 0; i < length; ) {
            Result memory result = returnData[i];
            calli = calls[i];
            uint256 val = calli.value;
            // Humanity will be a Type V Kardashev Civilization before this overflows - andreas
            // ~ 10^25 Wei in existence << ~ 10^76 size uint fits in a uint256
            unchecked {
                valAccumulator += val;
            }
            (result.success, result.returnData) = calli.target.call{value: val}(
                abi.encodePacked(calli.callData, msg.sender)
            );
            if (calli.requireSuccess && !result.success) {
                bytes memory revertData = result.returnData;
                uint256 len = revertData.length;
                assembly {
                    revert(add(revertData, 0x20), len)
                }
            }
            unchecked {
                ++i;
            }
        }
        // Finally, make sure the msg.value == SUM(call[0...i].value)
        if (msg.value != valAccumulator) {
            revert ERC2771ForwarderMismatchedValue(valAccumulator, msg.value);
        }
    }

    /// @notice Aggregate ForwardRequestData objects
    /// @notice Reverts if msg.value does not equal the sum of the call values
    /// @notice Reverts if the msg.sender is the zero address
    /// @param requests An array of ForwardRequestData structs
    /// @return returnData An array of Result structs
    function executeBatch(
        ForwardRequestData[] calldata requests
    ) public payable returns (Result[] memory returnData) {
        uint256 length = requests.length;
        returnData = new Result[](length);

        ForwardRequestData calldata req;

        uint256 requestsValue;
        uint256 refundValue;

        for (uint256 i; i < length; ) {
            Result memory result = returnData[i];

            req = requests[i];
            requestsValue += requests[i].value;

            (bool isTrustedForwarder, bool active, bool signerMatch, address signer) = _validate(
                req
            );

            if (isTrustedForwarder && signerMatch && active) {
                // Nonce should be used before the call to prevent reusing by reentrancy
                uint256 currentNonce = _useNonce(signer);

                (result.success, result.returnData) = req.to.call{value: req.value, gas: req.gas}(
                    abi.encodePacked(req.data, req.from)
                );

                /// @dev see ERC2771Forwarder._checkForwardedGas() for further details
                if (gasleft() < req.gas / 63) {
                    assembly {
                        invalid()
                    }
                }

                emit ExecutedForwardRequest(signer, currentNonce, result.success);
            }

            /// @notice If the call was not successful, we refund the value to the msg.sender
            /// @dev unsuccessful calls are never reverted
            if (!result.success) {
                refundValue += requests[i].value;
            }

            unchecked {
                ++i;
            }
        }

        // The batch should revert if there's a mismatched msg.value provided
        // to avoid request value tampering
        if (requestsValue != msg.value) {
            revert ERC2771ForwarderMismatchedValue(requestsValue, msg.value);
        }

        // Some requests with value were invalid (possibly due to frontrunning).
        // To avoid leaving ETH in the contract this value is refunded.
        if (refundValue != 0) {
            // We know msg.sender != address(0) && requestsValue == msg.value
            // meaning we can ensure refundValue is not taken from the original contract's balance
            // and msg.sender is a known account.
            Address.sendValue(payable(msg.sender), refundValue);
        }
    }

    /// @notice Returns the block hash for the given block number
    /// @param blockNumber The block number
    function getBlockHash(uint256 blockNumber) public view returns (bytes32 blockHash) {
        blockHash = blockhash(blockNumber);
    }

    /// @notice Returns the block number
    function getBlockNumber() public view returns (uint256 blockNumber) {
        blockNumber = block.number;
    }

    /// @notice Returns the block coinbase
    function getCurrentBlockCoinbase() public view returns (address coinbase) {
        coinbase = block.coinbase;
    }

    /// @notice Returns the block prevrandao
    function getPrevRandao() public view returns (uint256 prevrandao) {
        prevrandao = block.prevrandao;
    }

    /// @notice Returns the block gas limit
    function getCurrentBlockGasLimit() public view returns (uint256 gaslimit) {
        gaslimit = block.gaslimit;
    }

    /// @notice Returns the block timestamp
    function getCurrentBlockTimestamp() public view returns (uint256 timestamp) {
        timestamp = block.timestamp;
    }

    /// @notice Returns the (ETH) balance of a given address
    function getEthBalance(address addr) public view returns (uint256 balance) {
        balance = addr.balance;
    }

    /// @notice Returns the block hash of the last block
    function getLastBlockHash() public view returns (bytes32 blockHash) {
        unchecked {
            blockHash = blockhash(block.number - 1);
        }
    }

    /// @notice Gets the base fee of the given block
    /// @notice Can revert if the BASEFEE opcode is not implemented by the given chain
    function getBasefee() public view returns (uint256 basefee) {
        basefee = block.basefee;
    }

    /// @notice Returns the chain id
    function getChainId() public view returns (uint256 chainid) {
        chainid = block.chainid;
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (interfaces/IERC5267.sol)

pragma solidity ^0.8.20;

interface IERC5267 {
    /**
     * @dev MAY be emitted to signal that the domain could have changed.
     */
    event EIP712DomainChanged();

    /**
     * @dev returns the fields and values that describe the domain separator used by this contract for EIP-712
     * signature.
     */
    function eip712Domain()
        external
        view
        returns (
            bytes1 fields,
            string memory name,
            string memory version,
            uint256 chainId,
            address verifyingContract,
            bytes32 salt,
            uint256[] memory extensions
        );
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (metatx/ERC2771Context.sol)

pragma solidity ^0.8.20;

import {Context} from "../utils/Context.sol";

/**
 * @dev Context variant with ERC2771 support.
 *
 * WARNING: Avoid using this pattern in contracts that rely in a specific calldata length as they'll
 * be affected by any forwarder whose `msg.data` is suffixed with the `from` address according to the ERC2771
 * specification adding the address size in bytes (20) to the calldata size. An example of an unexpected
 * behavior could be an unintended fallback (or another function) invocation while trying to invoke the `receive`
 * function only accessible if `msg.data.length == 0`.
 */
abstract contract ERC2771Context is Context {
    /// @custom:oz-upgrades-unsafe-allow state-variable-immutable
    address private immutable _trustedForwarder;

    /**
     * @dev Initializes the contract with a trusted forwarder, which will be able to
     * invoke functions on this contract on behalf of other accounts.
     *
     * NOTE: The trusted forwarder can be replaced by overriding {trustedForwarder}.
     */
    /// @custom:oz-upgrades-unsafe-allow constructor
    constructor(address trustedForwarder_) {
        _trustedForwarder = trustedForwarder_;
    }

    /**
     * @dev Returns the address of the trusted forwarder.
     */
    function trustedForwarder() public view virtual returns (address) {
        return _trustedForwarder;
    }

    /**
     * @dev Indicates whether any particular address is the trusted forwarder.
     */
    function isTrustedForwarder(address forwarder) public view virtual returns (bool) {
        return forwarder == trustedForwarder();
    }

    /**
     * @dev Override for `msg.sender`. Defaults to the original `msg.sender` whenever
     * a call is not performed by the trusted forwarder or the calldata length is less than
     * 20 bytes (an address length).
     */
    function _msgSender() internal view virtual override returns (address sender) {
        if (isTrustedForwarder(msg.sender) && msg.data.length >= 20) {
            // The assembly code is more direct than the Solidity version using `abi.decode`.
            /// @solidity memory-safe-assembly
            assembly {
                sender := shr(96, calldataload(sub(calldatasize(), 20)))
            }
        } else {
            return super._msgSender();
        }
    }

    /**
     * @dev Override for `msg.data`. Defaults to the original `msg.data` whenever
     * a call is not performed by the trusted forwarder or the calldata length is less than
     * 20 bytes (an address length).
     */
    function _msgData() internal view virtual override returns (bytes calldata) {
        if (isTrustedForwarder(msg.sender) && msg.data.length >= 20) {
            return msg.data[:msg.data.length - 20];
        } else {
            return super._msgData();
        }
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (metatx/ERC2771Forwarder.sol)

pragma solidity ^0.8.20;

import {ERC2771Context} from "./ERC2771Context.sol";
import {ECDSA} from "../utils/cryptography/ECDSA.sol";
import {EIP712} from "../utils/cryptography/EIP712.sol";
import {Nonces} from "../utils/Nonces.sol";
import {Address} from "../utils/Address.sol";

/**
 * @dev A forwarder compatible with ERC2771 contracts. See {ERC2771Context}.
 *
 * This forwarder operates on forward requests that include:
 *
 * * `from`: An address to operate on behalf of. It is required to be equal to the request signer.
 * * `to`: The address that should be called.
 * * `value`: The amount of native token to attach with the requested call.
 * * `gas`: The amount of gas limit that will be forwarded with the requested call.
 * * `nonce`: A unique transaction ordering identifier to avoid replayability and request invalidation.
 * * `deadline`: A timestamp after which the request is not executable anymore.
 * * `data`: Encoded `msg.data` to send with the requested call.
 *
 * Relayers are able to submit batches if they are processing a high volume of requests. With high
 * throughput, relayers may run into limitations of the chain such as limits on the number of
 * transactions in the mempool. In these cases the recommendation is to distribute the load among
 * multiple accounts.
 *
 * NOTE: Batching requests includes an optional refund for unused `msg.value` that is achieved by
 * performing a call with empty calldata. While this is within the bounds of ERC-2771 compliance,
 * if the refund receiver happens to consider the forwarder a trusted forwarder, it MUST properly
 * handle `msg.data.length == 0`. `ERC2771Context` in OpenZeppelin Contracts versions prior to 4.9.3
 * do not handle this properly.
 *
 * ==== Security Considerations
 *
 * If a relayer submits a forward request, it should be willing to pay up to 100% of the gas amount
 * specified in the request. This contract does not implement any kind of retribution for this gas,
 * and it is assumed that there is an out of band incentive for relayers to pay for execution on
 * behalf of signers. Often, the relayer is operated by a project that will consider it a user
 * acquisition cost.
 *
 * By offering to pay for gas, relayers are at risk of having that gas used by an attacker toward
 * some other purpose that is not aligned with the expected out of band incentives. If you operate a
 * relayer, consider whitelisting target contracts and function selectors. When relaying ERC-721 or
 * ERC-1155 transfers specifically, consider rejecting the use of the `data` field, since it can be
 * used to execute arbitrary code.
 */
contract ERC2771Forwarder is EIP712, Nonces {
    using ECDSA for bytes32;

    struct ForwardRequestData {
        address from;
        address to;
        uint256 value;
        uint256 gas;
        uint48 deadline;
        bytes data;
        bytes signature;
    }

    bytes32 internal constant _FORWARD_REQUEST_TYPEHASH =
        keccak256(
            "ForwardRequest(address from,address to,uint256 value,uint256 gas,uint256 nonce,uint48 deadline,bytes data)"
        );

    /**
     * @dev Emitted when a `ForwardRequest` is executed.
     *
     * NOTE: An unsuccessful forward request could be due to an invalid signature, an expired deadline,
     * or simply a revert in the requested call. The contract guarantees that the relayer is not able to force
     * the requested call to run out of gas.
     */
    event ExecutedForwardRequest(address indexed signer, uint256 nonce, bool success);

    /**
     * @dev The request `from` doesn't match with the recovered `signer`.
     */
    error ERC2771ForwarderInvalidSigner(address signer, address from);

    /**
     * @dev The `requestedValue` doesn't match with the available `msgValue`.
     */
    error ERC2771ForwarderMismatchedValue(uint256 requestedValue, uint256 msgValue);

    /**
     * @dev The request `deadline` has expired.
     */
    error ERC2771ForwarderExpiredRequest(uint48 deadline);

    /**
     * @dev The request target doesn't trust the `forwarder`.
     */
    error ERC2771UntrustfulTarget(address target, address forwarder);

    /**
     * @dev See {EIP712-constructor}.
     */
    constructor(string memory name) EIP712(name, "1") {}

    /**
     * @dev Returns `true` if a request is valid for a provided `signature` at the current block timestamp.
     *
     * A transaction is considered valid when the target trusts this forwarder, the request hasn't expired
     * (deadline is not met), and the signer matches the `from` parameter of the signed request.
     *
     * NOTE: A request may return false here but it won't cause {executeBatch} to revert if a refund
     * receiver is provided.
     */
    function verify(ForwardRequestData calldata request) public view virtual returns (bool) {
        (bool isTrustedForwarder, bool active, bool signerMatch, ) = _validate(request);
        return isTrustedForwarder && active && signerMatch;
    }

    /**
     * @dev Executes a `request` on behalf of `signature`'s signer using the ERC-2771 protocol. The gas
     * provided to the requested call may not be exactly the amount requested, but the call will not run
     * out of gas. Will revert if the request is invalid or the call reverts, in this case the nonce is not consumed.
     *
     * Requirements:
     *
     * - The request value should be equal to the provided `msg.value`.
     * - The request should be valid according to {verify}.
     */
    function execute(ForwardRequestData calldata request) public payable virtual {
        // We make sure that msg.value and request.value match exactly.
        // If the request is invalid or the call reverts, this whole function
        // will revert, ensuring value isn't stuck.
        if (msg.value != request.value) {
            revert ERC2771ForwarderMismatchedValue(request.value, msg.value);
        }

        if (!_execute(request, true)) {
            revert Address.FailedInnerCall();
        }
    }

    /**
     * @dev Batch version of {execute} with optional refunding and atomic execution.
     *
     * In case a batch contains at least one invalid request (see {verify}), the
     * request will be skipped and the `refundReceiver` parameter will receive back the
     * unused requested value at the end of the execution. This is done to prevent reverting
     * the entire batch when a request is invalid or has already been submitted.
     *
     * If the `refundReceiver` is the `address(0)`, this function will revert when at least
     * one of the requests was not valid instead of skipping it. This could be useful if
     * a batch is required to get executed atomically (at least at the top-level). For example,
     * refunding (and thus atomicity) can be opt-out if the relayer is using a service that avoids
     * including reverted transactions.
     *
     * Requirements:
     *
     * - The sum of the requests' values should be equal to the provided `msg.value`.
     * - All of the requests should be valid (see {verify}) when `refundReceiver` is the zero address.
     *
     * NOTE: Setting a zero `refundReceiver` guarantees an all-or-nothing requests execution only for
     * the first-level forwarded calls. In case a forwarded request calls to a contract with another
     * subcall, the second-level call may revert without the top-level call reverting.
     */
    function executeBatch(
        ForwardRequestData[] calldata requests,
        address payable refundReceiver
    ) public payable virtual {
        bool atomic = refundReceiver == address(0);

        uint256 requestsValue;
        uint256 refundValue;

        for (uint256 i; i < requests.length; ++i) {
            requestsValue += requests[i].value;
            bool success = _execute(requests[i], atomic);
            if (!success) {
                refundValue += requests[i].value;
            }
        }

        // The batch should revert if there's a mismatched msg.value provided
        // to avoid request value tampering
        if (requestsValue != msg.value) {
            revert ERC2771ForwarderMismatchedValue(requestsValue, msg.value);
        }

        // Some requests with value were invalid (possibly due to frontrunning).
        // To avoid leaving ETH in the contract this value is refunded.
        if (refundValue != 0) {
            // We know refundReceiver != address(0) && requestsValue == msg.value
            // meaning we can ensure refundValue is not taken from the original contract's balance
            // and refundReceiver is a known account.
            Address.sendValue(refundReceiver, refundValue);
        }
    }

    /**
     * @dev Validates if the provided request can be executed at current block timestamp with
     * the given `request.signature` on behalf of `request.signer`.
     */
    function _validate(
        ForwardRequestData calldata request
    ) internal view virtual returns (bool isTrustedForwarder, bool active, bool signerMatch, address signer) {
        (bool isValid, address recovered) = _recoverForwardRequestSigner(request);

        return (
            _isTrustedByTarget(request.to),
            request.deadline >= block.timestamp,
            isValid && recovered == request.from,
            recovered
        );
    }

    /**
     * @dev Returns a tuple with the recovered the signer of an EIP712 forward request message hash
     * and a boolean indicating if the signature is valid.
     *
     * NOTE: The signature is considered valid if {ECDSA-tryRecover} indicates no recover error for it.
     */
    function _recoverForwardRequestSigner(
        ForwardRequestData calldata request
    ) internal view virtual returns (bool, address) {
        (address recovered, ECDSA.RecoverError err, ) = _hashTypedDataV4(
            keccak256(
                abi.encode(
                    _FORWARD_REQUEST_TYPEHASH,
                    request.from,
                    request.to,
                    request.value,
                    request.gas,
                    nonces(request.from),
                    request.deadline,
                    keccak256(request.data)
                )
            )
        ).tryRecover(request.signature);

        return (err == ECDSA.RecoverError.NoError, recovered);
    }

    /**
     * @dev Validates and executes a signed request returning the request call `success` value.
     *
     * Internal function without msg.value validation.
     *
     * Requirements:
     *
     * - The caller must have provided enough gas to forward with the call.
     * - The request must be valid (see {verify}) if the `requireValidRequest` is true.
     *
     * Emits an {ExecutedForwardRequest} event.
     *
     * IMPORTANT: Using this function doesn't check that all the `msg.value` was sent, potentially
     * leaving value stuck in the contract.
     */
    function _execute(
        ForwardRequestData calldata request,
        bool requireValidRequest
    ) internal virtual returns (bool success) {
        (bool isTrustedForwarder, bool active, bool signerMatch, address signer) = _validate(request);

        // Need to explicitly specify if a revert is required since non-reverting is default for
        // batches and reversion is opt-in since it could be useful in some scenarios
        if (requireValidRequest) {
            if (!isTrustedForwarder) {
                revert ERC2771UntrustfulTarget(request.to, address(this));
            }

            if (!active) {
                revert ERC2771ForwarderExpiredRequest(request.deadline);
            }

            if (!signerMatch) {
                revert ERC2771ForwarderInvalidSigner(signer, request.from);
            }
        }

        // Ignore an invalid request because requireValidRequest = false
        if (isTrustedForwarder && signerMatch && active) {
            // Nonce should be used before the call to prevent reusing by reentrancy
            uint256 currentNonce = _useNonce(signer);

            uint256 reqGas = request.gas;
            address to = request.to;
            uint256 value = request.value;
            bytes memory data = abi.encodePacked(request.data, request.from);

            uint256 gasLeft;

            assembly {
                success := call(reqGas, to, value, add(data, 0x20), mload(data), 0, 0)
                gasLeft := gas()
            }

            _checkForwardedGas(gasLeft, request);

            emit ExecutedForwardRequest(signer, currentNonce, success);
        }
    }

    /**
     * @dev Returns whether the target trusts this forwarder.
     *
     * This function performs a static call to the target contract calling the
     * {ERC2771Context-isTrustedForwarder} function.
     */
    function _isTrustedByTarget(address target) private view returns (bool) {
        bytes memory encodedParams = abi.encodeCall(ERC2771Context.isTrustedForwarder, (address(this)));

        bool success;
        uint256 returnSize;
        uint256 returnValue;
        /// @solidity memory-safe-assembly
        assembly {
            // Perform the staticcal and save the result in the scratch space.
            // | Location  | Content  | Content (Hex)                                                      |
            // |-----------|----------|--------------------------------------------------------------------|
            // |           |          |                                                           result ↓ |
            // | 0x00:0x1F | selector | 0x0000000000000000000000000000000000000000000000000000000000000001 |
            success := staticcall(gas(), target, add(encodedParams, 0x20), mload(encodedParams), 0, 0x20)
            returnSize := returndatasize()
            returnValue := mload(0)
        }

        return success && returnSize >= 0x20 && returnValue > 0;
    }

    /**
     * @dev Checks if the requested gas was correctly forwarded to the callee.
     *
     * As a consequence of https://eips.ethereum.org/EIPS/eip-150[EIP-150]:
     * - At most `gasleft() - floor(gasleft() / 64)` is forwarded to the callee.
     * - At least `floor(gasleft() / 64)` is kept in the caller.
     *
     * It reverts consuming all the available gas if the forwarded gas is not the requested gas.
     *
     * IMPORTANT: The `gasLeft` parameter should be measured exactly at the end of the forwarded call.
     * Any gas consumed in between will make room for bypassing this check.
     */
    function _checkForwardedGas(uint256 gasLeft, ForwardRequestData calldata request) private pure {
        // To avoid insufficient gas griefing attacks, as referenced in https://ronan.eth.limo/blog/ethereum-gas-dangers/
        //
        // A malicious relayer can attempt to shrink the gas forwarded so that the underlying call reverts out-of-gas
        // but the forwarding itself still succeeds. In order to make sure that the subcall received sufficient gas,
        // we will inspect gasleft() after the forwarding.
        //
        // Let X be the gas available before the subcall, such that the subcall gets at most X * 63 / 64.
        // We can't know X after CALL dynamic costs, but we want it to be such that X * 63 / 64 >= req.gas.
        // Let Y be the gas used in the subcall. gasleft() measured immediately after the subcall will be gasleft() = X - Y.
        // If the subcall ran out of gas, then Y = X * 63 / 64 and gasleft() = X - Y = X / 64.
        // Under this assumption req.gas / 63 > gasleft() is true is true if and only if
        // req.gas / 63 > X / 64, or equivalently req.gas > X * 63 / 64.
        // This means that if the subcall runs out of gas we are able to detect that insufficient gas was passed.
        //
        // We will now also see that req.gas / 63 > gasleft() implies that req.gas >= X * 63 / 64.
        // The contract guarantees Y <= req.gas, thus gasleft() = X - Y >= X - req.gas.
        // -    req.gas / 63 > gasleft()
        // -    req.gas / 63 >= X - req.gas
        // -    req.gas >= X * 63 / 64
        // In other words if req.gas < X * 63 / 64 then req.gas / 63 <= gasleft(), thus if the relayer behaves honestly
        // the forwarding does not revert.
        if (gasLeft < request.gas / 63) {
            // We explicitly trigger invalid opcode to consume all gas and bubble-up the effects, since
            // neither revert or assert consume all gas since Solidity 0.8.20
            // https://docs.soliditylang.org/en/v0.8.20/control-structures.html#panic-via-assert-and-error-via-require
            /// @solidity memory-safe-assembly
            assembly {
                invalid()
            }
        }
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (utils/Address.sol)

pragma solidity ^0.8.20;

/**
 * @dev Collection of functions related to the address type
 */
library Address {
    /**
     * @dev The ETH balance of the account is not enough to perform the operation.
     */
    error AddressInsufficientBalance(address account);

    /**
     * @dev There's no code at `target` (it is not a contract).
     */
    error AddressEmptyCode(address target);

    /**
     * @dev A call to an address target failed. The target may have reverted.
     */
    error FailedInnerCall();

    /**
     * @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/v0.8.20/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
     */
    function sendValue(address payable recipient, uint256 amount) internal {
        if (address(this).balance < amount) {
            revert AddressInsufficientBalance(address(this));
        }

        (bool success, ) = recipient.call{value: amount}("");
        if (!success) {
            revert FailedInnerCall();
        }
    }

    /**
     * @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 or custom error, it is bubbled
     * up by this function (like regular Solidity function calls). However, if
     * the call reverted with no returned reason, this function reverts with a
     * {FailedInnerCall} error.
     *
     * 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.
     */
    function functionCall(address target, bytes memory data) internal returns (bytes memory) {
        return functionCallWithValue(target, data, 0);
    }

    /**
     * @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`.
     */
    function functionCallWithValue(address target, bytes memory data, uint256 value) internal returns (bytes memory) {
        if (address(this).balance < value) {
            revert AddressInsufficientBalance(address(this));
        }
        (bool success, bytes memory returndata) = target.call{value: value}(data);
        return verifyCallResultFromTarget(target, success, returndata);
    }

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

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

    /**
     * @dev Tool to verify that a low level call to smart-contract was successful, and reverts if the target
     * was not a contract or bubbling up the revert reason (falling back to {FailedInnerCall}) in case of an
     * unsuccessful call.
     */
    function verifyCallResultFromTarget(
        address target,
        bool success,
        bytes memory returndata
    ) internal view returns (bytes memory) {
        if (!success) {
            _revert(returndata);
        } else {
            // only check if target is a contract if the call was successful and the return data is empty
            // otherwise we already know that it was a contract
            if (returndata.length == 0 && target.code.length == 0) {
                revert AddressEmptyCode(target);
            }
            return returndata;
        }
    }

    /**
     * @dev Tool to verify that a low level call was successful, and reverts if it wasn't, either by bubbling the
     * revert reason or with a default {FailedInnerCall} error.
     */
    function verifyCallResult(bool success, bytes memory returndata) internal pure returns (bytes memory) {
        if (!success) {
            _revert(returndata);
        } else {
            return returndata;
        }
    }

    /**
     * @dev Reverts with returndata if present. Otherwise reverts with {FailedInnerCall}.
     */
    function _revert(bytes memory returndata) 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 FailedInnerCall();
        }
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (utils/Context.sol)

pragma solidity ^0.8.20;

/**
 * @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 Context {
    function _msgSender() internal view virtual returns (address) {
        return msg.sender;
    }

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

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (utils/Nonces.sol)
pragma solidity ^0.8.20;

/**
 * @dev Provides tracking nonces for addresses. Nonces will only increment.
 */
abstract contract Nonces {
    /**
     * @dev The nonce used for an `account` is not the expected current nonce.
     */
    error InvalidAccountNonce(address account, uint256 currentNonce);

    mapping(address account => uint256) private _nonces;

    /**
     * @dev Returns the next unused nonce for an address.
     */
    function nonces(address owner) public view virtual returns (uint256) {
        return _nonces[owner];
    }

    /**
     * @dev Consumes a nonce.
     *
     * Returns the current value and increments nonce.
     */
    function _useNonce(address owner) internal virtual returns (uint256) {
        // For each account, the nonce has an initial value of 0, can only be incremented by one, and cannot be
        // decremented or reset. This guarantees that the nonce never overflows.
        unchecked {
            // It is important to do x++ and not ++x here.
            return _nonces[owner]++;
        }
    }

    /**
     * @dev Same as {_useNonce} but checking that `nonce` is the next valid for `owner`.
     */
    function _useCheckedNonce(address owner, uint256 nonce) internal virtual {
        uint256 current = _useNonce(owner);
        if (nonce != current) {
            revert InvalidAccountNonce(owner, current);
        }
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (utils/ShortStrings.sol)

pragma solidity ^0.8.20;

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

// | string  | 0xAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA   |
// | length  | 0x                                                              BB |
type ShortString is bytes32;

/**
 * @dev This library provides functions to convert short memory strings
 * into a `ShortString` type that can be used as an immutable variable.
 *
 * Strings of arbitrary length can be optimized using this library if
 * they are short enough (up to 31 bytes) by packing them with their
 * length (1 byte) in a single EVM word (32 bytes). Additionally, a
 * fallback mechanism can be used for every other case.
 *
 * Usage example:
 *
 * ```solidity
 * contract Named {
 *     using ShortStrings for *;
 *
 *     ShortString private immutable _name;
 *     string private _nameFallback;
 *
 *     constructor(string memory contractName) {
 *         _name = contractName.toShortStringWithFallback(_nameFallback);
 *     }
 *
 *     function name() external view returns (string memory) {
 *         return _name.toStringWithFallback(_nameFallback);
 *     }
 * }
 * ```
 */
library ShortStrings {
    // Used as an identifier for strings longer than 31 bytes.
    bytes32 private constant FALLBACK_SENTINEL = 0x00000000000000000000000000000000000000000000000000000000000000FF;

    error StringTooLong(string str);
    error InvalidShortString();

    /**
     * @dev Encode a string of at most 31 chars into a `ShortString`.
     *
     * This will trigger a `StringTooLong` error is the input string is too long.
     */
    function toShortString(string memory str) internal pure returns (ShortString) {
        bytes memory bstr = bytes(str);
        if (bstr.length > 31) {
            revert StringTooLong(str);
        }
        return ShortString.wrap(bytes32(uint256(bytes32(bstr)) | bstr.length));
    }

    /**
     * @dev Decode a `ShortString` back to a "normal" string.
     */
    function toString(ShortString sstr) internal pure returns (string memory) {
        uint256 len = byteLength(sstr);
        // using `new string(len)` would work locally but is not memory safe.
        string memory str = new string(32);
        /// @solidity memory-safe-assembly
        assembly {
            mstore(str, len)
            mstore(add(str, 0x20), sstr)
        }
        return str;
    }

    /**
     * @dev Return the length of a `ShortString`.
     */
    function byteLength(ShortString sstr) internal pure returns (uint256) {
        uint256 result = uint256(ShortString.unwrap(sstr)) & 0xFF;
        if (result > 31) {
            revert InvalidShortString();
        }
        return result;
    }

    /**
     * @dev Encode a string into a `ShortString`, or write it to storage if it is too long.
     */
    function toShortStringWithFallback(string memory value, string storage store) internal returns (ShortString) {
        if (bytes(value).length < 32) {
            return toShortString(value);
        } else {
            StorageSlot.getStringSlot(store).value = value;
            return ShortString.wrap(FALLBACK_SENTINEL);
        }
    }

    /**
     * @dev Decode a string that was encoded to `ShortString` or written to storage using {setWithFallback}.
     */
    function toStringWithFallback(ShortString value, string storage store) internal pure returns (string memory) {
        if (ShortString.unwrap(value) != FALLBACK_SENTINEL) {
            return toString(value);
        } else {
            return store;
        }
    }

    /**
     * @dev Return the length of a string that was encoded to `ShortString` or written to storage using
     * {setWithFallback}.
     *
     * WARNING: This will return the "byte length" of the string. This may not reflect the actual length in terms of
     * actual characters as the UTF-8 encoding of a single character can span over multiple bytes.
     */
    function byteLengthWithFallback(ShortString value, string storage store) internal view returns (uint256) {
        if (ShortString.unwrap(value) != FALLBACK_SENTINEL) {
            return byteLength(value);
        } else {
            return bytes(store).length;
        }
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (utils/StorageSlot.sol)
// This file was procedurally generated from scripts/generate/templates/StorageSlot.js.

pragma solidity ^0.8.20;

/**
 * @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(newImplementation.code.length > 0);
 *         StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value = newImplementation;
 *     }
 * }
 * ```
 */
library StorageSlot {
    struct AddressSlot {
        address value;
    }

    struct BooleanSlot {
        bool value;
    }

    struct Bytes32Slot {
        bytes32 value;
    }

    struct Uint256Slot {
        uint256 value;
    }

    struct StringSlot {
        string value;
    }

    struct BytesSlot {
        bytes value;
    }

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

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

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

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

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

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

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

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

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (utils/Strings.sol)

pragma solidity ^0.8.20;

import {Math} from "./math/Math.sol";
import {SignedMath} from "./math/SignedMath.sol";

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

    /**
     * @dev The `value` string doesn't fit in the specified `length`.
     */
    error StringsInsufficientHexLength(uint256 value, uint256 length);

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

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

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

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

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

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

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (utils/cryptography/ECDSA.sol)

pragma solidity ^0.8.20;

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

    /**
     * @dev The signature derives the `address(0)`.
     */
    error ECDSAInvalidSignature();

    /**
     * @dev The signature has an invalid length.
     */
    error ECDSAInvalidSignatureLength(uint256 length);

    /**
     * @dev The signature has an S value that is in the upper half order.
     */
    error ECDSAInvalidSignatureS(bytes32 s);

    /**
     * @dev Returns the address that signed a hashed message (`hash`) with `signature` or an error. This will not
     * return address(0) without also returning an error description. Errors are documented using an enum (error type)
     * and a bytes32 providing additional information about the error.
     *
     * If no error is returned, then the address can be used for verification purposes.
     *
     * The `ecrecover` EVM precompile allows for malleable (non-unique) signatures:
     * this function rejects them by requiring the `s` value to be in the lower
     * half order, and the `v` value to be either 27 or 28.
     *
     * IMPORTANT: `hash` _must_ be the result of a hash operation for the
     * verification to be secure: it is possible to craft signatures that
     * recover to arbitrary addresses for non-hashed data. A safe way to ensure
     * this is by receiving a hash of the original message (which may otherwise
     * be too long), and then calling {MessageHashUtils-toEthSignedMessageHash} on it.
     *
     * Documentation for signature generation:
     * - with https://web3js.readthedocs.io/en/v1.3.4/web3-eth-accounts.html#sign[Web3.js]
     * - with https://docs.ethers.io/v5/api/signer/#Signer-signMessage[ethers]
     */
    function tryRecover(bytes32 hash, bytes memory signature) internal pure returns (address, RecoverError, bytes32) {
        if (signature.length == 65) {
            bytes32 r;
            bytes32 s;
            uint8 v;
            // ecrecover takes the signature parameters, and the only way to get them
            // currently is to use assembly.
            /// @solidity memory-safe-assembly
            assembly {
                r := mload(add(signature, 0x20))
                s := mload(add(signature, 0x40))
                v := byte(0, mload(add(signature, 0x60)))
            }
            return tryRecover(hash, v, r, s);
        } else {
            return (address(0), RecoverError.InvalidSignatureLength, bytes32(signature.length));
        }
    }

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

    /**
     * @dev Overload of {ECDSA-tryRecover} that receives the `r` and `vs` short-signature fields separately.
     *
     * See https://eips.ethereum.org/EIPS/eip-2098[EIP-2098 short signatures]
     */
    function tryRecover(bytes32 hash, bytes32 r, bytes32 vs) internal pure returns (address, RecoverError, bytes32) {
        unchecked {
            bytes32 s = vs & bytes32(0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff);
            // We do not check for an overflow here since the shift operation results in 0 or 1.
            uint8 v = uint8((uint256(vs) >> 255) + 27);
            return tryRecover(hash, v, r, s);
        }
    }

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

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

        // If the signature is valid (and not malleable), return the signer address
        address signer = ecrecover(hash, v, r, s);
        if (signer == address(0)) {
            return (address(0), RecoverError.InvalidSignature, bytes32(0));
        }

        return (signer, RecoverError.NoError, bytes32(0));
    }

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

    /**
     * @dev Optionally reverts with the corresponding custom error according to the `error` argument provided.
     */
    function _throwError(RecoverError error, bytes32 errorArg) private pure {
        if (error == RecoverError.NoError) {
            return; // no error: do nothing
        } else if (error == RecoverError.InvalidSignature) {
            revert ECDSAInvalidSignature();
        } else if (error == RecoverError.InvalidSignatureLength) {
            revert ECDSAInvalidSignatureLength(uint256(errorArg));
        } else if (error == RecoverError.InvalidSignatureS) {
            revert ECDSAInvalidSignatureS(errorArg);
        }
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (utils/cryptography/EIP712.sol)

pragma solidity ^0.8.20;

import {MessageHashUtils} from "./MessageHashUtils.sol";
import {ShortStrings, ShortString} from "../ShortStrings.sol";
import {IERC5267} from "../../interfaces/IERC5267.sol";

/**
 * @dev https://eips.ethereum.org/EIPS/eip-712[EIP 712] is a standard for hashing and signing of typed structured data.
 *
 * The encoding scheme specified in the EIP requires a domain separator and a hash of the typed structured data, whose
 * encoding is very generic and therefore its implementation in Solidity is not feasible, thus this contract
 * does not implement the encoding itself. Protocols need to implement the type-specific encoding they need in order to
 * produce the hash of their typed data using a combination of `abi.encode` and `keccak256`.
 *
 * This contract implements the EIP 712 domain separator ({_domainSeparatorV4}) that is used as part of the encoding
 * scheme, and the final step of the encoding to obtain the message digest that is then signed via ECDSA
 * ({_hashTypedDataV4}).
 *
 * The implementation of the domain separator was designed to be as efficient as possible while still properly updating
 * the chain id to protect against replay attacks on an eventual fork of the chain.
 *
 * NOTE: This contract implements the version of the encoding known as "v4", as implemented by the JSON RPC method
 * https://docs.metamask.io/guide/signing-data.html[`eth_signTypedDataV4` in MetaMask].
 *
 * NOTE: In the upgradeable version of this contract, the cached values will correspond to the address, and the domain
 * separator of the implementation contract. This will cause the {_domainSeparatorV4} function to always rebuild the
 * separator from the immutable values, which is cheaper than accessing a cached version in cold storage.
 *
 * @custom:oz-upgrades-unsafe-allow state-variable-immutable
 */
abstract contract EIP712 is IERC5267 {
    using ShortStrings for *;

    bytes32 private constant TYPE_HASH =
        keccak256("EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)");

    // Cache the domain separator as an immutable value, but also store the chain id that it corresponds to, in order to
    // invalidate the cached domain separator if the chain id changes.
    bytes32 private immutable _cachedDomainSeparator;
    uint256 private immutable _cachedChainId;
    address private immutable _cachedThis;

    bytes32 private immutable _hashedName;
    bytes32 private immutable _hashedVersion;

    ShortString private immutable _name;
    ShortString private immutable _version;
    string private _nameFallback;
    string private _versionFallback;

    /**
     * @dev Initializes the domain separator and parameter caches.
     *
     * The meaning of `name` and `version` is specified in
     * https://eips.ethereum.org/EIPS/eip-712#definition-of-domainseparator[EIP 712]:
     *
     * - `name`: the user readable name of the signing domain, i.e. the name of the DApp or the protocol.
     * - `version`: the current major version of the signing domain.
     *
     * NOTE: These parameters cannot be changed except through a xref:learn::upgrading-smart-contracts.adoc[smart
     * contract upgrade].
     */
    constructor(string memory name, string memory version) {
        _name = name.toShortStringWithFallback(_nameFallback);
        _version = version.toShortStringWithFallback(_versionFallback);
        _hashedName = keccak256(bytes(name));
        _hashedVersion = keccak256(bytes(version));

        _cachedChainId = block.chainid;
        _cachedDomainSeparator = _buildDomainSeparator();
        _cachedThis = address(this);
    }

    /**
     * @dev Returns the domain separator for the current chain.
     */
    function _domainSeparatorV4() internal view returns (bytes32) {
        if (address(this) == _cachedThis && block.chainid == _cachedChainId) {
            return _cachedDomainSeparator;
        } else {
            return _buildDomainSeparator();
        }
    }

    function _buildDomainSeparator() private view returns (bytes32) {
        return keccak256(abi.encode(TYPE_HASH, _hashedName, _hashedVersion, block.chainid, address(this)));
    }

    /**
     * @dev Given an already https://eips.ethereum.org/EIPS/eip-712#definition-of-hashstruct[hashed struct], this
     * function returns the hash of the fully encoded EIP712 message for this domain.
     *
     * This hash can be used together with {ECDSA-recover} to obtain the signer of a message. For example:
     *
     * ```solidity
     * bytes32 digest = _hashTypedDataV4(keccak256(abi.encode(
     *     keccak256("Mail(address to,string contents)"),
     *     mailTo,
     *     keccak256(bytes(mailContents))
     * )));
     * address signer = ECDSA.recover(digest, signature);
     * ```
     */
    function _hashTypedDataV4(bytes32 structHash) internal view virtual returns (bytes32) {
        return MessageHashUtils.toTypedDataHash(_domainSeparatorV4(), structHash);
    }

    /**
     * @dev See {IERC-5267}.
     */
    function eip712Domain()
        public
        view
        virtual
        returns (
            bytes1 fields,
            string memory name,
            string memory version,
            uint256 chainId,
            address verifyingContract,
            bytes32 salt,
            uint256[] memory extensions
        )
    {
        return (
            hex"0f", // 01111
            _EIP712Name(),
            _EIP712Version(),
            block.chainid,
            address(this),
            bytes32(0),
            new uint256[](0)
        );
    }

    /**
     * @dev The name parameter for the EIP712 domain.
     *
     * NOTE: By default this function reads _name which is an immutable value.
     * It only reads from storage if necessary (in case the value is too large to fit in a ShortString).
     */
    // solhint-disable-next-line func-name-mixedcase
    function _EIP712Name() internal view returns (string memory) {
        return _name.toStringWithFallback(_nameFallback);
    }

    /**
     * @dev The version parameter for the EIP712 domain.
     *
     * NOTE: By default this function reads _version which is an immutable value.
     * It only reads from storage if necessary (in case the value is too large to fit in a ShortString).
     */
    // solhint-disable-next-line func-name-mixedcase
    function _EIP712Version() internal view returns (string memory) {
        return _version.toStringWithFallback(_versionFallback);
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (utils/cryptography/MessageHashUtils.sol)

pragma solidity ^0.8.20;

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

/**
 * @dev Signature message hash utilities for producing digests to be consumed by {ECDSA} recovery or signing.
 *
 * The library provides methods for generating a hash of a message that conforms to the
 * https://eips.ethereum.org/EIPS/eip-191[EIP 191] and https://eips.ethereum.org/EIPS/eip-712[EIP 712]
 * specifications.
 */
library MessageHashUtils {
    /**
     * @dev Returns the keccak256 digest of an EIP-191 signed data with version
     * `0x45` (`personal_sign` messages).
     *
     * The digest is calculated by prefixing a bytes32 `messageHash` with
     * `"\x19Ethereum Signed Message:\n32"` and hashing the result. It corresponds with the
     * hash signed when using the https://eth.wiki/json-rpc/API#eth_sign[`eth_sign`] JSON-RPC method.
     *
     * NOTE: The `messageHash` parameter is intended to be the result of hashing a raw message with
     * keccak256, although any bytes32 value can be safely used because the final digest will
     * be re-hashed.
     *
     * See {ECDSA-recover}.
     */
    function toEthSignedMessageHash(bytes32 messageHash) internal pure returns (bytes32 digest) {
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x00, "\x19Ethereum Signed Message:\n32") // 32 is the bytes-length of messageHash
            mstore(0x1c, messageHash) // 0x1c (28) is the length of the prefix
            digest := keccak256(0x00, 0x3c) // 0x3c is the length of the prefix (0x1c) + messageHash (0x20)
        }
    }

    /**
     * @dev Returns the keccak256 digest of an EIP-191 signed data with version
     * `0x45` (`personal_sign` messages).
     *
     * The digest is calculated by prefixing an arbitrary `message` with
     * `"\x19Ethereum Signed Message:\n" + len(message)` and hashing the result. It corresponds with the
     * hash signed when using the https://eth.wiki/json-rpc/API#eth_sign[`eth_sign`] JSON-RPC method.
     *
     * See {ECDSA-recover}.
     */
    function toEthSignedMessageHash(bytes memory message) internal pure returns (bytes32) {
        return
            keccak256(bytes.concat("\x19Ethereum Signed Message:\n", bytes(Strings.toString(message.length)), message));
    }

    /**
     * @dev Returns the keccak256 digest of an EIP-191 signed data with version
     * `0x00` (data with intended validator).
     *
     * The digest is calculated by prefixing an arbitrary `data` with `"\x19\x00"` and the intended
     * `validator` address. Then hashing the result.
     *
     * See {ECDSA-recover}.
     */
    function toDataWithIntendedValidatorHash(address validator, bytes memory data) internal pure returns (bytes32) {
        return keccak256(abi.encodePacked(hex"19_00", validator, data));
    }

    /**
     * @dev Returns the keccak256 digest of an EIP-712 typed data (EIP-191 version `0x01`).
     *
     * The digest is calculated from a `domainSeparator` and a `structHash`, by prefixing them with
     * `\x19\x01` and hashing the result. It corresponds to the hash signed by the
     * https://eips.ethereum.org/EIPS/eip-712[`eth_signTypedData`] JSON-RPC method as part of EIP-712.
     *
     * See {ECDSA-recover}.
     */
    function toTypedDataHash(bytes32 domainSeparator, bytes32 structHash) internal pure returns (bytes32 digest) {
        /// @solidity memory-safe-assembly
        assembly {
            let ptr := mload(0x40)
            mstore(ptr, hex"19_01")
            mstore(add(ptr, 0x02), domainSeparator)
            mstore(add(ptr, 0x22), structHash)
            digest := keccak256(ptr, 0x42)
        }
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (utils/math/Math.sol)

pragma solidity ^0.8.20;

/**
 * @dev Standard math utilities missing in the Solidity language.
 */
library Math {
    /**
     * @dev Muldiv operation overflow.
     */
    error MathOverflowedMulDiv();

    enum Rounding {
        Floor, // Toward negative infinity
        Ceil, // Toward positive infinity
        Trunc, // Toward zero
        Expand // Away from zero
    }

    /**
     * @dev Returns the addition of two unsigned integers, with an overflow flag.
     */
    function tryAdd(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        unchecked {
            uint256 c = a + b;
            if (c < a) return (false, 0);
            return (true, c);
        }
    }

    /**
     * @dev Returns the subtraction of two unsigned integers, with an overflow flag.
     */
    function trySub(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        unchecked {
            if (b > a) return (false, 0);
            return (true, a - b);
        }
    }

    /**
     * @dev Returns the multiplication of two unsigned integers, with an overflow flag.
     */
    function tryMul(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        unchecked {
            // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
            // benefit is lost if 'b' is also tested.
            // See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522
            if (a == 0) return (true, 0);
            uint256 c = a * b;
            if (c / a != b) return (false, 0);
            return (true, c);
        }
    }

    /**
     * @dev Returns the division of two unsigned integers, with a division by zero flag.
     */
    function tryDiv(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        unchecked {
            if (b == 0) return (false, 0);
            return (true, a / b);
        }
    }

    /**
     * @dev Returns the remainder of dividing two unsigned integers, with a division by zero flag.
     */
    function tryMod(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        unchecked {
            if (b == 0) return (false, 0);
            return (true, a % b);
        }
    }

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

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

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

    /**
     * @dev Returns the ceiling of the division of two numbers.
     *
     * This differs from standard division with `/` in that it rounds towards infinity instead
     * of rounding towards zero.
     */
    function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) {
        if (b == 0) {
            // Guarantee the same behavior as in a regular Solidity division.
            return a / b;
        }

        // (a + b - 1) / b can overflow on addition, so we distribute.
        return a == 0 ? 0 : (a - 1) / b + 1;
    }

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

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

            // Make sure the result is less than 2^256. Also prevents denominator == 0.
            if (denominator <= prod1) {
                revert MathOverflowedMulDiv();
            }

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

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

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

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

            uint256 twos = denominator & (0 - denominator);
            assembly {
                // Divide denominator by twos.
                denominator := div(denominator, twos)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

    /**
     * @dev Returns whether a provided rounding mode is considered rounding up for unsigned integers.
     */
    function unsignedRoundsUp(Rounding rounding) internal pure returns (bool) {
        return uint8(rounding) % 2 == 1;
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (utils/math/SignedMath.sol)

pragma solidity ^0.8.20;

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

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

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

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

{
  "optimizer": {
    "enabled": true,
    "runs": 1000000
  },
  "evmVersion": "paris",
  "remappings": [
    "@openzeppelin/contracts/=lib/openzeppelin-contracts/contracts/",
    "ds-test/=lib/forge-std/lib/ds-test/src/",
    "erc4626-tests/=lib/openzeppelin-contracts/lib/erc4626-tests/",
    "forge-std/=lib/forge-std/src/",
    "openzeppelin-contracts/=lib/openzeppelin-contracts/"
  ],
  "outputSelection": {
    "*": {
      "*": [
        "evm.bytecode",
        "evm.deployedBytecode",
        "devdoc",
        "userdoc",
        "metadata",
        "abi"
      ]
    }
  },
  "libraries": {}
}

[{"inputs":[],"stateMutability":"nonpayable","type":"constructor"},{"inputs":[{"internalType":"address","name":"account","type":"address"}],"name":"AddressInsufficientBalance","type":"error"},{"inputs":[{"internalType":"uint48","name":"deadline","type":"uint48"}],"name":"ERC2771ForwarderExpiredRequest","type":"error"},{"inputs":[{"internalType":"address","name":"signer","type":"address"},{"internalType":"address","name":"from","type":"address"}],"name":"ERC2771ForwarderInvalidSigner","type":"error"},{"inputs":[{"internalType":"uint256","name":"requestedValue","type":"uint256"},{"internalType":"uint256","name":"msgValue","type":"uint256"}],"name":"ERC2771ForwarderMismatchedValue","type":"error"},{"inputs":[{"internalType":"address","name":"target","type":"address"},{"internalType":"address","name":"forwarder","type":"address"}],"name":"ERC2771UntrustfulTarget","type":"error"},{"inputs":[],"name":"FailedInnerCall","type":"error"},{"inputs":[{"internalType":"address","name":"account","type":"address"},{"internalType":"uint256","name":"currentNonce","type":"uint256"}],"name":"InvalidAccountNonce","type":"error"},{"inputs":[],"name":"InvalidShortString","type":"error"},{"inputs":[{"internalType":"string","name":"str","type":"string"}],"name":"StringTooLong","type":"error"},{"anonymous":false,"inputs":[],"name":"EIP712DomainChanged","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"signer","type":"address"},{"indexed":false,"internalType":"uint256","name":"nonce","type":"uint256"},{"indexed":false,"internalType":"bool","name":"success","type":"bool"}],"name":"ExecutedForwardRequest","type":"event"},{"inputs":[{"components":[{"internalType":"address","name":"target","type":"address"},{"internalType":"bytes","name":"callData","type":"bytes"}],"internalType":"struct TrustedMulticallForwarder.Call[]","name":"calls","type":"tuple[]"}],"name":"aggregate","outputs":[{"internalType":"uint256","name":"blockNumber","type":"uint256"},{"internalType":"bytes[]","name":"returnData","type":"bytes[]"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"components":[{"internalType":"address","name":"target","type":"address"},{"internalType":"bool","name":"requireSuccess","type":"bool"},{"internalType":"bytes","name":"callData","type":"bytes"}],"internalType":"struct TrustedMulticallForwarder.Call3[]","name":"calls","type":"tuple[]"}],"name":"aggregate3","outputs":[{"components":[{"internalType":"bool","name":"success","type":"bool"},{"internalType":"bytes","name":"returnData","type":"bytes"}],"internalType":"struct TrustedMulticallForwarder.Result[]","name":"returnData","type":"tuple[]"}],"stateMutability":"payable","type":"function"},{"inputs":[{"components":[{"internalType":"address","name":"target","type":"address"},{"internalType":"bool","name":"requireSuccess","type":"bool"},{"internalType":"uint256","name":"value","type":"uint256"},{"internalType":"bytes","name":"callData","type":"bytes"}],"internalType":"struct TrustedMulticallForwarder.Call3Value[]","name":"calls","type":"tuple[]"}],"name":"aggregate3Value","outputs":[{"components":[{"internalType":"bool","name":"success","type":"bool"},{"internalType":"bytes","name":"returnData","type":"bytes"}],"internalType":"struct TrustedMulticallForwarder.Result[]","name":"returnData","type":"tuple[]"}],"stateMutability":"payable","type":"function"},{"inputs":[{"components":[{"internalType":"address","name":"target","type":"address"},{"internalType":"bytes","name":"callData","type":"bytes"}],"internalType":"struct TrustedMulticallForwarder.Call[]","name":"calls","type":"tuple[]"}],"name":"blockAndAggregate","outputs":[{"internalType":"uint256","name":"blockNumber","type":"uint256"},{"internalType":"bytes32","name":"blockHash","type":"bytes32"},{"components":[{"internalType":"bool","name":"success","type":"bool"},{"internalType":"bytes","name":"returnData","type":"bytes"}],"internalType":"struct TrustedMulticallForwarder.Result[]","name":"returnData","type":"tuple[]"}],"stateMutability":"payable","type":"function"},{"inputs":[],"name":"eip712Domain","outputs":[{"internalType":"bytes1","name":"fields","type":"bytes1"},{"internalType":"string","name":"name","type":"string"},{"internalType":"string","name":"version","type":"string"},{"internalType":"uint256","name":"chainId","type":"uint256"},{"internalType":"address","name":"verifyingContract","type":"address"},{"internalType":"bytes32","name":"salt","type":"bytes32"},{"internalType":"uint256[]","name":"extensions","type":"uint256[]"}],"stateMutability":"view","type":"function"},{"inputs":[{"components":[{"internalType":"address","name":"from","type":"address"},{"internalType":"address","name":"to","type":"address"},{"internalType":"uint256","name":"value","type":"uint256"},{"internalType":"uint256","name":"gas","type":"uint256"},{"internalType":"uint48","name":"deadline","type":"uint48"},{"internalType":"bytes","name":"data","type":"bytes"},{"internalType":"bytes","name":"signature","type":"bytes"}],"internalType":"struct ERC2771Forwarder.ForwardRequestData","name":"request","type":"tuple"}],"name":"execute","outputs":[],"stateMutability":"payable","type":"function"},{"inputs":[{"components":[{"internalType":"address","name":"from","type":"address"},{"internalType":"address","name":"to","type":"address"},{"internalType":"uint256","name":"value","type":"uint256"},{"internalType":"uint256","name":"gas","type":"uint256"},{"internalType":"uint48","name":"deadline","type":"uint48"},{"internalType":"bytes","name":"data","type":"bytes"},{"internalType":"bytes","name":"signature","type":"bytes"}],"internalType":"struct ERC2771Forwarder.ForwardRequestData[]","name":"requests","type":"tuple[]"}],"name":"executeBatch","outputs":[{"components":[{"internalType":"bool","name":"success","type":"bool"},{"internalType":"bytes","name":"returnData","type":"bytes"}],"internalType":"struct TrustedMulticallForwarder.Result[]","name":"returnData","type":"tuple[]"}],"stateMutability":"payable","type":"function"},{"inputs":[{"components":[{"internalType":"address","name":"from","type":"address"},{"internalType":"address","name":"to","type":"address"},{"internalType":"uint256","name":"value","type":"uint256"},{"internalType":"uint256","name":"gas","type":"uint256"},{"internalType":"uint48","name":"deadline","type":"uint48"},{"internalType":"bytes","name":"data","type":"bytes"},{"internalType":"bytes","name":"signature","type":"bytes"}],"internalType":"struct ERC2771Forwarder.ForwardRequestData[]","name":"requests","type":"tuple[]"},{"internalType":"address payable","name":"refundReceiver","type":"address"}],"name":"executeBatch","outputs":[],"stateMutability":"payable","type":"function"},{"inputs":[],"name":"getBasefee","outputs":[{"internalType":"uint256","name":"basefee","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"blockNumber","type":"uint256"}],"name":"getBlockHash","outputs":[{"internalType":"bytes32","name":"blockHash","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getBlockNumber","outputs":[{"internalType":"uint256","name":"blockNumber","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getChainId","outputs":[{"internalType":"uint256","name":"chainid","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getCurrentBlockCoinbase","outputs":[{"internalType":"address","name":"coinbase","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getCurrentBlockGasLimit","outputs":[{"internalType":"uint256","name":"gaslimit","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getCurrentBlockTimestamp","outputs":[{"internalType":"uint256","name":"timestamp","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"addr","type":"address"}],"name":"getEthBalance","outputs":[{"internalType":"uint256","name":"balance","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getLastBlockHash","outputs":[{"internalType":"bytes32","name":"blockHash","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getPrevRandao","outputs":[{"internalType":"uint256","name":"prevrandao","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"owner","type":"address"}],"name":"nonces","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"bool","name":"requireSuccess","type":"bool"},{"components":[{"internalType":"address","name":"target","type":"address"},{"internalType":"bytes","name":"callData","type":"bytes"}],"internalType":"struct TrustedMulticallForwarder.Call[]","name":"calls","type":"tuple[]"}],"name":"tryAggregate","outputs":[{"components":[{"internalType":"bool","name":"success","type":"bool"},{"internalType":"bytes","name":"returnData","type":"bytes"}],"internalType":"struct TrustedMulticallForwarder.Result[]","name":"returnData","type":"tuple[]"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"bool","name":"requireSuccess","type":"bool"},{"components":[{"internalType":"address","name":"target","type":"address"},{"internalType":"bytes","name":"callData","type":"bytes"}],"internalType":"struct TrustedMulticallForwarder.Call[]","name":"calls","type":"tuple[]"}],"name":"tryBlockAndAggregate","outputs":[{"internalType":"uint256","name":"blockNumber","type":"uint256"},{"internalType":"bytes32","name":"blockHash","type":"bytes32"},{"components":[{"internalType":"bool","name":"success","type":"bool"},{"internalType":"bytes","name":"returnData","type":"bytes"}],"internalType":"struct TrustedMulticallForwarder.Result[]","name":"returnData","type":"tuple[]"}],"stateMutability":"payable","type":"function"},{"inputs":[{"components":[{"internalType":"address","name":"from","type":"address"},{"internalType":"address","name":"to","type":"address"},{"internalType":"uint256","name":"value","type":"uint256"},{"internalType":"uint256","name":"gas","type":"uint256"},{"internalType":"uint48","name":"deadline","type":"uint48"},{"internalType":"bytes","name":"data","type":"bytes"},{"internalType":"bytes","name":"signature","type":"bytes"}],"internalType":"struct ERC2771Forwarder.ForwardRequestData","name":"request","type":"tuple"}],"name":"verify","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"view","type":"function"}]

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