Contract

// SPDX-License-Identifier: MIT
pragma solidity 0.8.25;

import "solady/utils/ECDSA.sol";
import "@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol";
import "@openzeppelin/contracts/token/ERC20/IERC20.sol";
import {OwnableRoles} from "solady/auth/OwnableRoles.sol";
import {StreamConfig, ICliqueLock} from "../ICliqueLock.sol";

struct ClaimInfo {
    uint256 lastClaimedBlock;
    uint256 claimedAmount;
}

/// @title  Base Distributor
/// @author Clique (@Clique2046)
/// @author Alan (@alannotnerd)
abstract contract BaseDistributor is OwnableRoles {
    using SafeERC20 for IERC20;

    // address signing the claims
    address public signer;
    // vault address
    address public vault;
    // whether the airdrop is active
    bool public active = false;

    mapping(bytes32 => mapping(address => ClaimInfo)) public claimed;
    mapping(bytes32 => bytes32) public merkleConfiguration;

    // errors
    error AlreadyClaimed();
    error InvalidSignature();
    error NotActive();
    error ZeroAddress();
    error InvalidMerkleProof(bytes32 root);
    error WithdrawFailed();
    error InvalidReleasedAmount();

    event AirdropClaimed(address indexed account, bytes32 indexed root, uint256 amount);
    event MerkleConfigurationUpdate(bytes32 indexed root, bytes32 indexed configurator);
    event Withdraw(address indexed to, uint256 amount);
    event FeeSet(uint256 fee);
    event VaultSet(address indexed vault);

    uint256 public constant PROJECT_ADMIN = _ROLE_0;

    /// @notice Construct a new Claim contract
    /// @param _signer address that can sign messages
    /// @param _projectAdmin address that can set the signer and claim root
    constructor(address _signer, address _projectAdmin, address _vault) {
        if (_signer == address(0)) revert ZeroAddress();
        signer = _signer;
        vault = _vault;
        _initializeOwner(msg.sender);
        _setRoles(_projectAdmin, PROJECT_ADMIN);
    }

    /// @notice Modifier to check if the airdrop is active
    modifier whenActive() {
        if (!active) revert NotActive();
        _;
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                      ADMIN FUNCTIONS                       */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @notice Set the signer
    /// @param _signer address that can sign messages
    function setSigner(address _signer) external onlyRoles(PROJECT_ADMIN) {
        signer = _signer;
    }

    /// @notice Set the claim root
    /// @param _claimRoot root of the merkle tree
    function setClaimRoot(bytes32 _claimRoot, bytes32 _configurator) external onlyRoles(PROJECT_ADMIN) {
        merkleConfiguration[_claimRoot] = _configurator;
        emit MerkleConfigurationUpdate(_claimRoot, _configurator);
    }

    /// @notice Set the vault
    /// @param _vault address of the vault
    function setVault(address _vault) external onlyRoles(PROJECT_ADMIN) {
        vault = _vault;
        emit VaultSet(_vault);
    }

    /// @notice Toggle the active state
    function toggleActive() external onlyRoles(PROJECT_ADMIN) {
        active = !active;
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                      FEE FUNCTIONS                         */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
    /// @notice Withdraw the fee
    /// @dev Only callable by the owner
    function withdrawFee(address _recipient) external onlyOwner {
        uint256 _balance = address(this).balance;
        if (_balance > 0) {
            (bool _success,) = payable(_recipient).call{value: _balance}("");
            if (!_success) revert WithdrawFailed();
            emit Withdraw(_recipient, _balance);
        }
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                   EXTERNAL FUNCTIONS                       */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @notice Claim airdrop tokens. Checks for both merkle proof
    //          and signature validation
    /// @param _proof merkle proof of the claim
    /// @param _signature signature of the claim
    /// @param _amount amount of tokens to claim
    /// @param _released amount of tokens that released
    /// @param _onBehalfOf address to claim on behalf of
    /// @param _extra extra data to pass to the claim function
    function claim(
        bytes32[] calldata _proof,
        bytes calldata _signature,
        uint256 _amount,
        uint256 _released,
        address _onBehalfOf,
        bytes calldata _extra
    ) external payable whenActive {
        (bytes32 _root, bytes32 _configurator) = _rootCheck(_proof, _amount, _onBehalfOf);

        ClaimInfo memory _claimInfo = claimed[_root][_onBehalfOf];
        uint256 claimedAmount_ = _claimInfo.claimedAmount;

        if (_amount < _released) {
            revert InvalidReleasedAmount();
        }

        if (claimedAmount_ == _released) {
            revert AlreadyClaimed();
        }

        claimed[_root][_onBehalfOf] = ClaimInfo({lastClaimedBlock: block.number, claimedAmount: _released});

        _signatureCheck(_amount, _released, _onBehalfOf, _signature, _root, signer, _extra);

        uint256 _claimableAmount = _released - claimedAmount_;

        _execute(vault, _onBehalfOf, _configurator, _claimableAmount, _extra);
        emit AirdropClaimed(_onBehalfOf, _root, _claimableAmount);
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                       PRIVATE FUNCTIONS                    */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @notice Internal function to execute the claim
    /// @param _vault vault address
    /// @param _recipient recipient address
    /// @param _configurator configurator address
    /// @param _amount amount of tokens to claim
    /// @param _extra extra data to pass to the claim function
    function _execute(address _vault, address _recipient, bytes32 _configurator, uint256 _amount, bytes memory _extra)
        internal
        virtual;

    /// @notice Internal function to check the merkle proof
    /// @param _proof merkle proof of the claim
    /// @param _amount amount of tokens to claim
    /// @param _onBehalfOf address to claim on behalf of
    function _rootCheck(bytes32[] calldata _proof, uint256 _amount, address _onBehalfOf)
        internal
        view
        returns (bytes32 root, bytes32 configurator)
    {
        root = recover(_proof, keccak256(abi.encodePacked(_onBehalfOf, _amount)));
        configurator = merkleConfiguration[root];
        if (configurator == bytes32(0)) revert InvalidMerkleProof(root);
    }

    /// @notice Internal function to check the signature
    /// @param _amount amount of tokens to claim
    /// @param _released amount of tokens that released
    /// @param _onBehalfOf address to claim on behalf of
    /// @param _signature signature of the claim
    /// @param _root root of the merkle tree
    /// @param _signer signer to check
    function _signatureCheck(
        uint256 _amount,
        uint256 _released,
        address _onBehalfOf,
        bytes calldata _signature,
        bytes32 _root,
        address _signer,
        bytes calldata _extra
    ) internal view {
        if (_signature.length == 0) revert InvalidSignature();

        bytes32 messageHash =
            keccak256(abi.encodePacked(_onBehalfOf, _amount, _released, _root, address(this), block.chainid, _extra));
        bytes32 prefixedHash = ECDSA.toEthSignedMessageHash(messageHash);
        address recoveredSigner = ECDSA.recoverCalldata(prefixedHash, _signature);

        if (recoveredSigner != _signer) revert InvalidSignature();
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*            MERKLE PROOF VERIFICATION OPERATIONS            */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Returns whether `leaf` exists in the Merkle tree with `root`, given `proof`.
    function recover(bytes32[] memory proof, bytes32 leaf) internal pure returns (bytes32 root) {
        /// @solidity memory-safe-assembly
        assembly {
            if mload(proof) {
                // Initialize `offset` to the offset of `proof` elements in memory.
                let offset := add(proof, 0x20)
                // Left shift by 5 is equivalent to multiplying by 0x20.
                let end := add(offset, shl(5, mload(proof)))
                // Iterate over proof elements to compute root hash.
                for {} 1 {} {
                    // Slot of `leaf` in scratch space.
                    // If the condition is true: 0x20, otherwise: 0x00.
                    let scratch := shl(5, gt(leaf, mload(offset)))
                    // Store elements to hash contiguously in scratch space.
                    // Scratch space is 64 bytes (0x00 - 0x3f) and both elements are 32 bytes.
                    mstore(scratch, leaf)
                    mstore(xor(scratch, 0x20), mload(offset))
                    // Reuse `leaf` to store the hash to reduce stack operations.
                    leaf := keccak256(0x00, 0x40)
                    offset := add(offset, 0x20)
                    if iszero(lt(offset, end)) { break }
                }
            }
            root := leaf
        }
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (interfaces/IERC1363.sol)

pragma solidity ^0.8.20;

import {IERC20} from "./IERC20.sol";
import {IERC165} from "./IERC165.sol";

/**
 * @title IERC1363
 * @dev Interface of the ERC-1363 standard as defined in the https://eips.ethereum.org/EIPS/eip-1363[ERC-1363].
 *
 * Defines an extension interface for ERC-20 tokens that supports executing code on a recipient contract
 * after `transfer` or `transferFrom`, or code on a spender contract after `approve`, in a single transaction.
 */
interface IERC1363 is IERC20, IERC165 {
    /*
     * Note: the ERC-165 identifier for this interface is 0xb0202a11.
     * 0xb0202a11 ===
     *   bytes4(keccak256('transferAndCall(address,uint256)')) ^
     *   bytes4(keccak256('transferAndCall(address,uint256,bytes)')) ^
     *   bytes4(keccak256('transferFromAndCall(address,address,uint256)')) ^
     *   bytes4(keccak256('transferFromAndCall(address,address,uint256,bytes)')) ^
     *   bytes4(keccak256('approveAndCall(address,uint256)')) ^
     *   bytes4(keccak256('approveAndCall(address,uint256,bytes)'))
     */

    /**
     * @dev Moves a `value` amount of tokens from the caller's account to `to`
     * and then calls {IERC1363Receiver-onTransferReceived} on `to`.
     * @param to The address which you want to transfer to.
     * @param value The amount of tokens to be transferred.
     * @return A boolean value indicating whether the operation succeeded unless throwing.
     */
    function transferAndCall(address to, uint256 value) external returns (bool);

    /**
     * @dev Moves a `value` amount of tokens from the caller's account to `to`
     * and then calls {IERC1363Receiver-onTransferReceived} on `to`.
     * @param to The address which you want to transfer to.
     * @param value The amount of tokens to be transferred.
     * @param data Additional data with no specified format, sent in call to `to`.
     * @return A boolean value indicating whether the operation succeeded unless throwing.
     */
    function transferAndCall(address to, uint256 value, bytes calldata data) external returns (bool);

    /**
     * @dev Moves a `value` amount of tokens from `from` to `to` using the allowance mechanism
     * and then calls {IERC1363Receiver-onTransferReceived} on `to`.
     * @param from The address which you want to send tokens from.
     * @param to The address which you want to transfer to.
     * @param value The amount of tokens to be transferred.
     * @return A boolean value indicating whether the operation succeeded unless throwing.
     */
    function transferFromAndCall(address from, address to, uint256 value) external returns (bool);

    /**
     * @dev Moves a `value` amount of tokens from `from` to `to` using the allowance mechanism
     * and then calls {IERC1363Receiver-onTransferReceived} on `to`.
     * @param from The address which you want to send tokens from.
     * @param to The address which you want to transfer to.
     * @param value The amount of tokens to be transferred.
     * @param data Additional data with no specified format, sent in call to `to`.
     * @return A boolean value indicating whether the operation succeeded unless throwing.
     */
    function transferFromAndCall(address from, address to, uint256 value, bytes calldata data) external returns (bool);

    /**
     * @dev Sets a `value` amount of tokens as the allowance of `spender` over the
     * caller's tokens and then calls {IERC1363Spender-onApprovalReceived} on `spender`.
     * @param spender The address which will spend the funds.
     * @param value The amount of tokens to be spent.
     * @return A boolean value indicating whether the operation succeeded unless throwing.
     */
    function approveAndCall(address spender, uint256 value) external returns (bool);

    /**
     * @dev Sets a `value` amount of tokens as the allowance of `spender` over the
     * caller's tokens and then calls {IERC1363Spender-onApprovalReceived} on `spender`.
     * @param spender The address which will spend the funds.
     * @param value The amount of tokens to be spent.
     * @param data Additional data with no specified format, sent in call to `spender`.
     * @return A boolean value indicating whether the operation succeeded unless throwing.
     */
    function approveAndCall(address spender, uint256 value, bytes calldata data) external returns (bool);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (interfaces/IERC165.sol)

pragma solidity ^0.8.20;

import {IERC165} from "../utils/introspection/IERC165.sol";

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (interfaces/IERC20.sol)

pragma solidity ^0.8.20;

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

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (token/ERC20/IERC20.sol)

pragma solidity ^0.8.20;

/**
 * @dev Interface of the ERC-20 standard as defined in the ERC.
 */
interface IERC20 {
    /**
     * @dev Emitted when `value` tokens are moved from one account (`from`) to
     * another (`to`).
     *
     * Note that `value` may be zero.
     */
    event Transfer(address indexed from, address indexed to, uint256 value);

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

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

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

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

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

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

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

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.2.0) (token/ERC20/utils/SafeERC20.sol)

pragma solidity ^0.8.20;

import {IERC20} from "../IERC20.sol";
import {IERC1363} from "../../../interfaces/IERC1363.sol";

/**
 * @title SafeERC20
 * @dev Wrappers around ERC-20 operations that throw on failure (when the token
 * contract returns false). Tokens that return no value (and instead revert or
 * throw on failure) are also supported, non-reverting calls are assumed to be
 * successful.
 * To use this library you can add a `using SafeERC20 for IERC20;` statement to your contract,
 * which allows you to call the safe operations as `token.safeTransfer(...)`, etc.
 */
library SafeERC20 {
    /**
     * @dev An operation with an ERC-20 token failed.
     */
    error SafeERC20FailedOperation(address token);

    /**
     * @dev Indicates a failed `decreaseAllowance` request.
     */
    error SafeERC20FailedDecreaseAllowance(address spender, uint256 currentAllowance, uint256 requestedDecrease);

    /**
     * @dev Transfer `value` amount of `token` from the calling contract to `to`. If `token` returns no value,
     * non-reverting calls are assumed to be successful.
     */
    function safeTransfer(IERC20 token, address to, uint256 value) internal {
        _callOptionalReturn(token, abi.encodeCall(token.transfer, (to, value)));
    }

    /**
     * @dev Transfer `value` amount of `token` from `from` to `to`, spending the approval given by `from` to the
     * calling contract. If `token` returns no value, non-reverting calls are assumed to be successful.
     */
    function safeTransferFrom(IERC20 token, address from, address to, uint256 value) internal {
        _callOptionalReturn(token, abi.encodeCall(token.transferFrom, (from, to, value)));
    }

    /**
     * @dev Increase the calling contract's allowance toward `spender` by `value`. If `token` returns no value,
     * non-reverting calls are assumed to be successful.
     *
     * IMPORTANT: If the token implements ERC-7674 (ERC-20 with temporary allowance), and if the "client"
     * smart contract uses ERC-7674 to set temporary allowances, then the "client" smart contract should avoid using
     * this function. Performing a {safeIncreaseAllowance} or {safeDecreaseAllowance} operation on a token contract
     * that has a non-zero temporary allowance (for that particular owner-spender) will result in unexpected behavior.
     */
    function safeIncreaseAllowance(IERC20 token, address spender, uint256 value) internal {
        uint256 oldAllowance = token.allowance(address(this), spender);
        forceApprove(token, spender, oldAllowance + value);
    }

    /**
     * @dev Decrease the calling contract's allowance toward `spender` by `requestedDecrease`. If `token` returns no
     * value, non-reverting calls are assumed to be successful.
     *
     * IMPORTANT: If the token implements ERC-7674 (ERC-20 with temporary allowance), and if the "client"
     * smart contract uses ERC-7674 to set temporary allowances, then the "client" smart contract should avoid using
     * this function. Performing a {safeIncreaseAllowance} or {safeDecreaseAllowance} operation on a token contract
     * that has a non-zero temporary allowance (for that particular owner-spender) will result in unexpected behavior.
     */
    function safeDecreaseAllowance(IERC20 token, address spender, uint256 requestedDecrease) internal {
        unchecked {
            uint256 currentAllowance = token.allowance(address(this), spender);
            if (currentAllowance < requestedDecrease) {
                revert SafeERC20FailedDecreaseAllowance(spender, currentAllowance, requestedDecrease);
            }
            forceApprove(token, spender, currentAllowance - requestedDecrease);
        }
    }

    /**
     * @dev Set the calling contract's allowance toward `spender` to `value`. If `token` returns no value,
     * non-reverting calls are assumed to be successful. Meant to be used with tokens that require the approval
     * to be set to zero before setting it to a non-zero value, such as USDT.
     *
     * NOTE: If the token implements ERC-7674, this function will not modify any temporary allowance. This function
     * only sets the "standard" allowance. Any temporary allowance will remain active, in addition to the value being
     * set here.
     */
    function forceApprove(IERC20 token, address spender, uint256 value) internal {
        bytes memory approvalCall = abi.encodeCall(token.approve, (spender, value));

        if (!_callOptionalReturnBool(token, approvalCall)) {
            _callOptionalReturn(token, abi.encodeCall(token.approve, (spender, 0)));
            _callOptionalReturn(token, approvalCall);
        }
    }

    /**
     * @dev Performs an {ERC1363} transferAndCall, with a fallback to the simple {ERC20} transfer if the target has no
     * code. This can be used to implement an {ERC721}-like safe transfer that rely on {ERC1363} checks when
     * targeting contracts.
     *
     * Reverts if the returned value is other than `true`.
     */
    function transferAndCallRelaxed(IERC1363 token, address to, uint256 value, bytes memory data) internal {
        if (to.code.length == 0) {
            safeTransfer(token, to, value);
        } else if (!token.transferAndCall(to, value, data)) {
            revert SafeERC20FailedOperation(address(token));
        }
    }

    /**
     * @dev Performs an {ERC1363} transferFromAndCall, with a fallback to the simple {ERC20} transferFrom if the target
     * has no code. This can be used to implement an {ERC721}-like safe transfer that rely on {ERC1363} checks when
     * targeting contracts.
     *
     * Reverts if the returned value is other than `true`.
     */
    function transferFromAndCallRelaxed(
        IERC1363 token,
        address from,
        address to,
        uint256 value,
        bytes memory data
    ) internal {
        if (to.code.length == 0) {
            safeTransferFrom(token, from, to, value);
        } else if (!token.transferFromAndCall(from, to, value, data)) {
            revert SafeERC20FailedOperation(address(token));
        }
    }

    /**
     * @dev Performs an {ERC1363} approveAndCall, with a fallback to the simple {ERC20} approve if the target has no
     * code. This can be used to implement an {ERC721}-like safe transfer that rely on {ERC1363} checks when
     * targeting contracts.
     *
     * NOTE: When the recipient address (`to`) has no code (i.e. is an EOA), this function behaves as {forceApprove}.
     * Opposedly, when the recipient address (`to`) has code, this function only attempts to call {ERC1363-approveAndCall}
     * once without retrying, and relies on the returned value to be true.
     *
     * Reverts if the returned value is other than `true`.
     */
    function approveAndCallRelaxed(IERC1363 token, address to, uint256 value, bytes memory data) internal {
        if (to.code.length == 0) {
            forceApprove(token, to, value);
        } else if (!token.approveAndCall(to, value, data)) {
            revert SafeERC20FailedOperation(address(token));
        }
    }

    /**
     * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement
     * on the return value: the return value is optional (but if data is returned, it must not be false).
     * @param token The token targeted by the call.
     * @param data The call data (encoded using abi.encode or one of its variants).
     *
     * This is a variant of {_callOptionalReturnBool} that reverts if call fails to meet the requirements.
     */
    function _callOptionalReturn(IERC20 token, bytes memory data) private {
        uint256 returnSize;
        uint256 returnValue;
        assembly ("memory-safe") {
            let success := call(gas(), token, 0, add(data, 0x20), mload(data), 0, 0x20)
            // bubble errors
            if iszero(success) {
                let ptr := mload(0x40)
                returndatacopy(ptr, 0, returndatasize())
                revert(ptr, returndatasize())
            }
            returnSize := returndatasize()
            returnValue := mload(0)
        }

        if (returnSize == 0 ? address(token).code.length == 0 : returnValue != 1) {
            revert SafeERC20FailedOperation(address(token));
        }
    }

    /**
     * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement
     * on the return value: the return value is optional (but if data is returned, it must not be false).
     * @param token The token targeted by the call.
     * @param data The call data (encoded using abi.encode or one of its variants).
     *
     * This is a variant of {_callOptionalReturn} that silently catches all reverts and returns a bool instead.
     */
    function _callOptionalReturnBool(IERC20 token, bytes memory data) private returns (bool) {
        bool success;
        uint256 returnSize;
        uint256 returnValue;
        assembly ("memory-safe") {
            success := call(gas(), token, 0, add(data, 0x20), mload(data), 0, 0x20)
            returnSize := returndatasize()
            returnValue := mload(0)
        }
        return success && (returnSize == 0 ? address(token).code.length > 0 : returnValue == 1);
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (token/ERC721/IERC721.sol)

pragma solidity ^0.8.20;

import {IERC165} from "../../utils/introspection/IERC165.sol";

/**
 * @dev Required interface of an ERC-721 compliant contract.
 */
interface IERC721 is IERC165 {
    /**
     * @dev Emitted when `tokenId` token is transferred from `from` to `to`.
     */
    event Transfer(address indexed from, address indexed to, uint256 indexed tokenId);

    /**
     * @dev Emitted when `owner` enables `approved` to manage the `tokenId` token.
     */
    event Approval(address indexed owner, address indexed approved, uint256 indexed tokenId);

    /**
     * @dev Emitted when `owner` enables or disables (`approved`) `operator` to manage all of its assets.
     */
    event ApprovalForAll(address indexed owner, address indexed operator, bool approved);

    /**
     * @dev Returns the number of tokens in ``owner``'s account.
     */
    function balanceOf(address owner) external view returns (uint256 balance);

    /**
     * @dev Returns the owner of the `tokenId` token.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     */
    function ownerOf(uint256 tokenId) external view returns (address owner);

    /**
     * @dev Safely transfers `tokenId` token from `from` to `to`.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must exist and be owned by `from`.
     * - If the caller is not `from`, it must be approved to move this token by either {approve} or {setApprovalForAll}.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon
     *   a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function safeTransferFrom(address from, address to, uint256 tokenId, bytes calldata data) external;

    /**
     * @dev Safely transfers `tokenId` token from `from` to `to`, checking first that contract recipients
     * are aware of the ERC-721 protocol to prevent tokens from being forever locked.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must exist and be owned by `from`.
     * - If the caller is not `from`, it must have been allowed to move this token by either {approve} or
     *   {setApprovalForAll}.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon
     *   a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function safeTransferFrom(address from, address to, uint256 tokenId) external;

    /**
     * @dev Transfers `tokenId` token from `from` to `to`.
     *
     * WARNING: Note that the caller is responsible to confirm that the recipient is capable of receiving ERC-721
     * or else they may be permanently lost. Usage of {safeTransferFrom} prevents loss, though the caller must
     * understand this adds an external call which potentially creates a reentrancy vulnerability.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must be owned by `from`.
     * - If the caller is not `from`, it must be approved to move this token by either {approve} or {setApprovalForAll}.
     *
     * Emits a {Transfer} event.
     */
    function transferFrom(address from, address to, uint256 tokenId) external;

    /**
     * @dev Gives permission to `to` to transfer `tokenId` token to another account.
     * The approval is cleared when the token is transferred.
     *
     * Only a single account can be approved at a time, so approving the zero address clears previous approvals.
     *
     * Requirements:
     *
     * - The caller must own the token or be an approved operator.
     * - `tokenId` must exist.
     *
     * Emits an {Approval} event.
     */
    function approve(address to, uint256 tokenId) external;

    /**
     * @dev Approve or remove `operator` as an operator for the caller.
     * Operators can call {transferFrom} or {safeTransferFrom} for any token owned by the caller.
     *
     * Requirements:
     *
     * - The `operator` cannot be the address zero.
     *
     * Emits an {ApprovalForAll} event.
     */
    function setApprovalForAll(address operator, bool approved) external;

    /**
     * @dev Returns the account approved for `tokenId` token.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     */
    function getApproved(uint256 tokenId) external view returns (address operator);

    /**
     * @dev Returns if the `operator` is allowed to manage all of the assets of `owner`.
     *
     * See {setApprovalForAll}
     */
    function isApprovedForAll(address owner, address operator) external view returns (bool);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (utils/introspection/IERC165.sol)

pragma solidity ^0.8.20;

/**
 * @dev Interface of the ERC-165 standard, as defined in the
 * https://eips.ethereum.org/EIPS/eip-165[ERC].
 *
 * Implementers can declare support of contract interfaces, which can then be
 * queried by others ({ERC165Checker}).
 *
 * For an implementation, see {ERC165}.
 */
interface IERC165 {
    /**
     * @dev Returns true if this contract implements the interface defined by
     * `interfaceId`. See the corresponding
     * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[ERC section]
     * to learn more about how these ids are created.
     *
     * This function call must use less than 30 000 gas.
     */
    function supportsInterface(bytes4 interfaceId) external view returns (bool);
}

// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

/// @notice Simple single owner authorization mixin.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/auth/Ownable.sol)
///
/// @dev Note:
/// This implementation does NOT auto-initialize the owner to `msg.sender`.
/// You MUST call the `_initializeOwner` in the constructor / initializer.
///
/// While the ownable portion follows
/// [EIP-173](https://eips.ethereum.org/EIPS/eip-173) for compatibility,
/// the nomenclature for the 2-step ownership handover may be unique to this codebase.
abstract contract Ownable {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                       CUSTOM ERRORS                        */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev The caller is not authorized to call the function.
    error Unauthorized();

    /// @dev The `newOwner` cannot be the zero address.
    error NewOwnerIsZeroAddress();

    /// @dev The `pendingOwner` does not have a valid handover request.
    error NoHandoverRequest();

    /// @dev Cannot double-initialize.
    error AlreadyInitialized();

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                           EVENTS                           */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev The ownership is transferred from `oldOwner` to `newOwner`.
    /// This event is intentionally kept the same as OpenZeppelin's Ownable to be
    /// compatible with indexers and [EIP-173](https://eips.ethereum.org/EIPS/eip-173),
    /// despite it not being as lightweight as a single argument event.
    event OwnershipTransferred(address indexed oldOwner, address indexed newOwner);

    /// @dev An ownership handover to `pendingOwner` has been requested.
    event OwnershipHandoverRequested(address indexed pendingOwner);

    /// @dev The ownership handover to `pendingOwner` has been canceled.
    event OwnershipHandoverCanceled(address indexed pendingOwner);

    /// @dev `keccak256(bytes("OwnershipTransferred(address,address)"))`.
    uint256 private constant _OWNERSHIP_TRANSFERRED_EVENT_SIGNATURE =
        0x8be0079c531659141344cd1fd0a4f28419497f9722a3daafe3b4186f6b6457e0;

    /// @dev `keccak256(bytes("OwnershipHandoverRequested(address)"))`.
    uint256 private constant _OWNERSHIP_HANDOVER_REQUESTED_EVENT_SIGNATURE =
        0xdbf36a107da19e49527a7176a1babf963b4b0ff8cde35ee35d6cd8f1f9ac7e1d;

    /// @dev `keccak256(bytes("OwnershipHandoverCanceled(address)"))`.
    uint256 private constant _OWNERSHIP_HANDOVER_CANCELED_EVENT_SIGNATURE =
        0xfa7b8eab7da67f412cc9575ed43464468f9bfbae89d1675917346ca6d8fe3c92;

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                          STORAGE                           */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev The owner slot is given by:
    /// `bytes32(~uint256(uint32(bytes4(keccak256("_OWNER_SLOT_NOT")))))`.
    /// It is intentionally chosen to be a high value
    /// to avoid collision with lower slots.
    /// The choice of manual storage layout is to enable compatibility
    /// with both regular and upgradeable contracts.
    bytes32 internal constant _OWNER_SLOT =
        0xffffffffffffffffffffffffffffffffffffffffffffffffffffffff74873927;

    /// The ownership handover slot of `newOwner` is given by:
    /// ```
    ///     mstore(0x00, or(shl(96, user), _HANDOVER_SLOT_SEED))
    ///     let handoverSlot := keccak256(0x00, 0x20)
    /// ```
    /// It stores the expiry timestamp of the two-step ownership handover.
    uint256 private constant _HANDOVER_SLOT_SEED = 0x389a75e1;

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                     INTERNAL FUNCTIONS                     */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Override to return true to make `_initializeOwner` prevent double-initialization.
    function _guardInitializeOwner() internal pure virtual returns (bool guard) {}

    /// @dev Initializes the owner directly without authorization guard.
    /// This function must be called upon initialization,
    /// regardless of whether the contract is upgradeable or not.
    /// This is to enable generalization to both regular and upgradeable contracts,
    /// and to save gas in case the initial owner is not the caller.
    /// For performance reasons, this function will not check if there
    /// is an existing owner.
    function _initializeOwner(address newOwner) internal virtual {
        if (_guardInitializeOwner()) {
            /// @solidity memory-safe-assembly
            assembly {
                let ownerSlot := _OWNER_SLOT
                if sload(ownerSlot) {
                    mstore(0x00, 0x0dc149f0) // `AlreadyInitialized()`.
                    revert(0x1c, 0x04)
                }
                // Clean the upper 96 bits.
                newOwner := shr(96, shl(96, newOwner))
                // Store the new value.
                sstore(ownerSlot, or(newOwner, shl(255, iszero(newOwner))))
                // Emit the {OwnershipTransferred} event.
                log3(0, 0, _OWNERSHIP_TRANSFERRED_EVENT_SIGNATURE, 0, newOwner)
            }
        } else {
            /// @solidity memory-safe-assembly
            assembly {
                // Clean the upper 96 bits.
                newOwner := shr(96, shl(96, newOwner))
                // Store the new value.
                sstore(_OWNER_SLOT, newOwner)
                // Emit the {OwnershipTransferred} event.
                log3(0, 0, _OWNERSHIP_TRANSFERRED_EVENT_SIGNATURE, 0, newOwner)
            }
        }
    }

    /// @dev Sets the owner directly without authorization guard.
    function _setOwner(address newOwner) internal virtual {
        if (_guardInitializeOwner()) {
            /// @solidity memory-safe-assembly
            assembly {
                let ownerSlot := _OWNER_SLOT
                // Clean the upper 96 bits.
                newOwner := shr(96, shl(96, newOwner))
                // Emit the {OwnershipTransferred} event.
                log3(0, 0, _OWNERSHIP_TRANSFERRED_EVENT_SIGNATURE, sload(ownerSlot), newOwner)
                // Store the new value.
                sstore(ownerSlot, or(newOwner, shl(255, iszero(newOwner))))
            }
        } else {
            /// @solidity memory-safe-assembly
            assembly {
                let ownerSlot := _OWNER_SLOT
                // Clean the upper 96 bits.
                newOwner := shr(96, shl(96, newOwner))
                // Emit the {OwnershipTransferred} event.
                log3(0, 0, _OWNERSHIP_TRANSFERRED_EVENT_SIGNATURE, sload(ownerSlot), newOwner)
                // Store the new value.
                sstore(ownerSlot, newOwner)
            }
        }
    }

    /// @dev Throws if the sender is not the owner.
    function _checkOwner() internal view virtual {
        /// @solidity memory-safe-assembly
        assembly {
            // If the caller is not the stored owner, revert.
            if iszero(eq(caller(), sload(_OWNER_SLOT))) {
                mstore(0x00, 0x82b42900) // `Unauthorized()`.
                revert(0x1c, 0x04)
            }
        }
    }

    /// @dev Returns how long a two-step ownership handover is valid for in seconds.
    /// Override to return a different value if needed.
    /// Made internal to conserve bytecode. Wrap it in a public function if needed.
    function _ownershipHandoverValidFor() internal view virtual returns (uint64) {
        return 48 * 3600;
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                  PUBLIC UPDATE FUNCTIONS                   */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Allows the owner to transfer the ownership to `newOwner`.
    function transferOwnership(address newOwner) public payable virtual onlyOwner {
        /// @solidity memory-safe-assembly
        assembly {
            if iszero(shl(96, newOwner)) {
                mstore(0x00, 0x7448fbae) // `NewOwnerIsZeroAddress()`.
                revert(0x1c, 0x04)
            }
        }
        _setOwner(newOwner);
    }

    /// @dev Allows the owner to renounce their ownership.
    function renounceOwnership() public payable virtual onlyOwner {
        _setOwner(address(0));
    }

    /// @dev Request a two-step ownership handover to the caller.
    /// The request will automatically expire in 48 hours (172800 seconds) by default.
    function requestOwnershipHandover() public payable virtual {
        unchecked {
            uint256 expires = block.timestamp + _ownershipHandoverValidFor();
            /// @solidity memory-safe-assembly
            assembly {
                // Compute and set the handover slot to `expires`.
                mstore(0x0c, _HANDOVER_SLOT_SEED)
                mstore(0x00, caller())
                sstore(keccak256(0x0c, 0x20), expires)
                // Emit the {OwnershipHandoverRequested} event.
                log2(0, 0, _OWNERSHIP_HANDOVER_REQUESTED_EVENT_SIGNATURE, caller())
            }
        }
    }

    /// @dev Cancels the two-step ownership handover to the caller, if any.
    function cancelOwnershipHandover() public payable virtual {
        /// @solidity memory-safe-assembly
        assembly {
            // Compute and set the handover slot to 0.
            mstore(0x0c, _HANDOVER_SLOT_SEED)
            mstore(0x00, caller())
            sstore(keccak256(0x0c, 0x20), 0)
            // Emit the {OwnershipHandoverCanceled} event.
            log2(0, 0, _OWNERSHIP_HANDOVER_CANCELED_EVENT_SIGNATURE, caller())
        }
    }

    /// @dev Allows the owner to complete the two-step ownership handover to `pendingOwner`.
    /// Reverts if there is no existing ownership handover requested by `pendingOwner`.
    function completeOwnershipHandover(address pendingOwner) public payable virtual onlyOwner {
        /// @solidity memory-safe-assembly
        assembly {
            // Compute and set the handover slot to 0.
            mstore(0x0c, _HANDOVER_SLOT_SEED)
            mstore(0x00, pendingOwner)
            let handoverSlot := keccak256(0x0c, 0x20)
            // If the handover does not exist, or has expired.
            if gt(timestamp(), sload(handoverSlot)) {
                mstore(0x00, 0x6f5e8818) // `NoHandoverRequest()`.
                revert(0x1c, 0x04)
            }
            // Set the handover slot to 0.
            sstore(handoverSlot, 0)
        }
        _setOwner(pendingOwner);
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                   PUBLIC READ FUNCTIONS                    */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Returns the owner of the contract.
    function owner() public view virtual returns (address result) {
        /// @solidity memory-safe-assembly
        assembly {
            result := sload(_OWNER_SLOT)
        }
    }

    /// @dev Returns the expiry timestamp for the two-step ownership handover to `pendingOwner`.
    function ownershipHandoverExpiresAt(address pendingOwner)
        public
        view
        virtual
        returns (uint256 result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            // Compute the handover slot.
            mstore(0x0c, _HANDOVER_SLOT_SEED)
            mstore(0x00, pendingOwner)
            // Load the handover slot.
            result := sload(keccak256(0x0c, 0x20))
        }
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                         MODIFIERS                          */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Marks a function as only callable by the owner.
    modifier onlyOwner() virtual {
        _checkOwner();
        _;
    }
}

// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

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

/// @notice Simple single owner and multiroles authorization mixin.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/auth/OwnableRoles.sol)
///
/// @dev Note:
/// This implementation does NOT auto-initialize the owner to `msg.sender`.
/// You MUST call the `_initializeOwner` in the constructor / initializer.
///
/// While the ownable portion follows
/// [EIP-173](https://eips.ethereum.org/EIPS/eip-173) for compatibility,
/// the nomenclature for the 2-step ownership handover may be unique to this codebase.
abstract contract OwnableRoles is Ownable {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                           EVENTS                           */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev The `user`'s roles is updated to `roles`.
    /// Each bit of `roles` represents whether the role is set.
    event RolesUpdated(address indexed user, uint256 indexed roles);

    /// @dev `keccak256(bytes("RolesUpdated(address,uint256)"))`.
    uint256 private constant _ROLES_UPDATED_EVENT_SIGNATURE =
        0x715ad5ce61fc9595c7b415289d59cf203f23a94fa06f04af7e489a0a76e1fe26;

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                          STORAGE                           */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev The role slot of `user` is given by:
    /// ```
    ///     mstore(0x00, or(shl(96, user), _ROLE_SLOT_SEED))
    ///     let roleSlot := keccak256(0x00, 0x20)
    /// ```
    /// This automatically ignores the upper bits of the `user` in case
    /// they are not clean, as well as keep the `keccak256` under 32-bytes.
    ///
    /// Note: This is equivalent to `uint32(bytes4(keccak256("_OWNER_SLOT_NOT")))`.
    uint256 private constant _ROLE_SLOT_SEED = 0x8b78c6d8;

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                     INTERNAL FUNCTIONS                     */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Overwrite the roles directly without authorization guard.
    function _setRoles(address user, uint256 roles) internal virtual {
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x0c, _ROLE_SLOT_SEED)
            mstore(0x00, user)
            // Store the new value.
            sstore(keccak256(0x0c, 0x20), roles)
            // Emit the {RolesUpdated} event.
            log3(0, 0, _ROLES_UPDATED_EVENT_SIGNATURE, shr(96, mload(0x0c)), roles)
        }
    }

    /// @dev Updates the roles directly without authorization guard.
    /// If `on` is true, each set bit of `roles` will be turned on,
    /// otherwise, each set bit of `roles` will be turned off.
    function _updateRoles(address user, uint256 roles, bool on) internal virtual {
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x0c, _ROLE_SLOT_SEED)
            mstore(0x00, user)
            let roleSlot := keccak256(0x0c, 0x20)
            // Load the current value.
            let current := sload(roleSlot)
            // Compute the updated roles if `on` is true.
            let updated := or(current, roles)
            // Compute the updated roles if `on` is false.
            // Use `and` to compute the intersection of `current` and `roles`,
            // `xor` it with `current` to flip the bits in the intersection.
            if iszero(on) { updated := xor(current, and(current, roles)) }
            // Then, store the new value.
            sstore(roleSlot, updated)
            // Emit the {RolesUpdated} event.
            log3(0, 0, _ROLES_UPDATED_EVENT_SIGNATURE, shr(96, mload(0x0c)), updated)
        }
    }

    /// @dev Grants the roles directly without authorization guard.
    /// Each bit of `roles` represents the role to turn on.
    function _grantRoles(address user, uint256 roles) internal virtual {
        _updateRoles(user, roles, true);
    }

    /// @dev Removes the roles directly without authorization guard.
    /// Each bit of `roles` represents the role to turn off.
    function _removeRoles(address user, uint256 roles) internal virtual {
        _updateRoles(user, roles, false);
    }

    /// @dev Throws if the sender does not have any of the `roles`.
    function _checkRoles(uint256 roles) internal view virtual {
        /// @solidity memory-safe-assembly
        assembly {
            // Compute the role slot.
            mstore(0x0c, _ROLE_SLOT_SEED)
            mstore(0x00, caller())
            // Load the stored value, and if the `and` intersection
            // of the value and `roles` is zero, revert.
            if iszero(and(sload(keccak256(0x0c, 0x20)), roles)) {
                mstore(0x00, 0x82b42900) // `Unauthorized()`.
                revert(0x1c, 0x04)
            }
        }
    }

    /// @dev Throws if the sender is not the owner,
    /// and does not have any of the `roles`.
    /// Checks for ownership first, then lazily checks for roles.
    function _checkOwnerOrRoles(uint256 roles) internal view virtual {
        /// @solidity memory-safe-assembly
        assembly {
            // If the caller is not the stored owner.
            // Note: `_ROLE_SLOT_SEED` is equal to `_OWNER_SLOT_NOT`.
            if iszero(eq(caller(), sload(not(_ROLE_SLOT_SEED)))) {
                // Compute the role slot.
                mstore(0x0c, _ROLE_SLOT_SEED)
                mstore(0x00, caller())
                // Load the stored value, and if the `and` intersection
                // of the value and `roles` is zero, revert.
                if iszero(and(sload(keccak256(0x0c, 0x20)), roles)) {
                    mstore(0x00, 0x82b42900) // `Unauthorized()`.
                    revert(0x1c, 0x04)
                }
            }
        }
    }

    /// @dev Throws if the sender does not have any of the `roles`,
    /// and is not the owner.
    /// Checks for roles first, then lazily checks for ownership.
    function _checkRolesOrOwner(uint256 roles) internal view virtual {
        /// @solidity memory-safe-assembly
        assembly {
            // Compute the role slot.
            mstore(0x0c, _ROLE_SLOT_SEED)
            mstore(0x00, caller())
            // Load the stored value, and if the `and` intersection
            // of the value and `roles` is zero, revert.
            if iszero(and(sload(keccak256(0x0c, 0x20)), roles)) {
                // If the caller is not the stored owner.
                // Note: `_ROLE_SLOT_SEED` is equal to `_OWNER_SLOT_NOT`.
                if iszero(eq(caller(), sload(not(_ROLE_SLOT_SEED)))) {
                    mstore(0x00, 0x82b42900) // `Unauthorized()`.
                    revert(0x1c, 0x04)
                }
            }
        }
    }

    /// @dev Convenience function to return a `roles` bitmap from an array of `ordinals`.
    /// This is meant for frontends like Etherscan, and is therefore not fully optimized.
    /// Not recommended to be called on-chain.
    /// Made internal to conserve bytecode. Wrap it in a public function if needed.
    function _rolesFromOrdinals(uint8[] memory ordinals) internal pure returns (uint256 roles) {
        /// @solidity memory-safe-assembly
        assembly {
            for { let i := shl(5, mload(ordinals)) } i { i := sub(i, 0x20) } {
                // We don't need to mask the values of `ordinals`, as Solidity
                // cleans dirty upper bits when storing variables into memory.
                roles := or(shl(mload(add(ordinals, i)), 1), roles)
            }
        }
    }

    /// @dev Convenience function to return an array of `ordinals` from the `roles` bitmap.
    /// This is meant for frontends like Etherscan, and is therefore not fully optimized.
    /// Not recommended to be called on-chain.
    /// Made internal to conserve bytecode. Wrap it in a public function if needed.
    function _ordinalsFromRoles(uint256 roles) internal pure returns (uint8[] memory ordinals) {
        /// @solidity memory-safe-assembly
        assembly {
            // Grab the pointer to the free memory.
            ordinals := mload(0x40)
            let ptr := add(ordinals, 0x20)
            let o := 0
            // The absence of lookup tables, De Bruijn, etc., here is intentional for
            // smaller bytecode, as this function is not meant to be called on-chain.
            for { let t := roles } 1 {} {
                mstore(ptr, o)
                // `shr` 5 is equivalent to multiplying by 0x20.
                // Push back into the ordinals array if the bit is set.
                ptr := add(ptr, shl(5, and(t, 1)))
                o := add(o, 1)
                t := shr(o, roles)
                if iszero(t) { break }
            }
            // Store the length of `ordinals`.
            mstore(ordinals, shr(5, sub(ptr, add(ordinals, 0x20))))
            // Allocate the memory.
            mstore(0x40, ptr)
        }
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                  PUBLIC UPDATE FUNCTIONS                   */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Allows the owner to grant `user` `roles`.
    /// If the `user` already has a role, then it will be an no-op for the role.
    function grantRoles(address user, uint256 roles) public payable virtual onlyOwner {
        _grantRoles(user, roles);
    }

    /// @dev Allows the owner to remove `user` `roles`.
    /// If the `user` does not have a role, then it will be an no-op for the role.
    function revokeRoles(address user, uint256 roles) public payable virtual onlyOwner {
        _removeRoles(user, roles);
    }

    /// @dev Allow the caller to remove their own roles.
    /// If the caller does not have a role, then it will be an no-op for the role.
    function renounceRoles(uint256 roles) public payable virtual {
        _removeRoles(msg.sender, roles);
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                   PUBLIC READ FUNCTIONS                    */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Returns the roles of `user`.
    function rolesOf(address user) public view virtual returns (uint256 roles) {
        /// @solidity memory-safe-assembly
        assembly {
            // Compute the role slot.
            mstore(0x0c, _ROLE_SLOT_SEED)
            mstore(0x00, user)
            // Load the stored value.
            roles := sload(keccak256(0x0c, 0x20))
        }
    }

    /// @dev Returns whether `user` has any of `roles`.
    function hasAnyRole(address user, uint256 roles) public view virtual returns (bool) {
        return rolesOf(user) & roles != 0;
    }

    /// @dev Returns whether `user` has all of `roles`.
    function hasAllRoles(address user, uint256 roles) public view virtual returns (bool) {
        return rolesOf(user) & roles == roles;
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                         MODIFIERS                          */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Marks a function as only callable by an account with `roles`.
    modifier onlyRoles(uint256 roles) virtual {
        _checkRoles(roles);
        _;
    }

    /// @dev Marks a function as only callable by the owner or by an account
    /// with `roles`. Checks for ownership first, then lazily checks for roles.
    modifier onlyOwnerOrRoles(uint256 roles) virtual {
        _checkOwnerOrRoles(roles);
        _;
    }

    /// @dev Marks a function as only callable by an account with `roles`
    /// or the owner. Checks for roles first, then lazily checks for ownership.
    modifier onlyRolesOrOwner(uint256 roles) virtual {
        _checkRolesOrOwner(roles);
        _;
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                       ROLE CONSTANTS                       */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    // IYKYK

    uint256 internal constant _ROLE_0 = 1 << 0;
    uint256 internal constant _ROLE_1 = 1 << 1;
    uint256 internal constant _ROLE_2 = 1 << 2;
    uint256 internal constant _ROLE_3 = 1 << 3;
    uint256 internal constant _ROLE_4 = 1 << 4;
    uint256 internal constant _ROLE_5 = 1 << 5;
    uint256 internal constant _ROLE_6 = 1 << 6;
    uint256 internal constant _ROLE_7 = 1 << 7;
    uint256 internal constant _ROLE_8 = 1 << 8;
    uint256 internal constant _ROLE_9 = 1 << 9;
    uint256 internal constant _ROLE_10 = 1 << 10;
    uint256 internal constant _ROLE_11 = 1 << 11;
    uint256 internal constant _ROLE_12 = 1 << 12;
    uint256 internal constant _ROLE_13 = 1 << 13;
    uint256 internal constant _ROLE_14 = 1 << 14;
    uint256 internal constant _ROLE_15 = 1 << 15;
    uint256 internal constant _ROLE_16 = 1 << 16;
    uint256 internal constant _ROLE_17 = 1 << 17;
    uint256 internal constant _ROLE_18 = 1 << 18;
    uint256 internal constant _ROLE_19 = 1 << 19;
    uint256 internal constant _ROLE_20 = 1 << 20;
    uint256 internal constant _ROLE_21 = 1 << 21;
    uint256 internal constant _ROLE_22 = 1 << 22;
    uint256 internal constant _ROLE_23 = 1 << 23;
    uint256 internal constant _ROLE_24 = 1 << 24;
    uint256 internal constant _ROLE_25 = 1 << 25;
    uint256 internal constant _ROLE_26 = 1 << 26;
    uint256 internal constant _ROLE_27 = 1 << 27;
    uint256 internal constant _ROLE_28 = 1 << 28;
    uint256 internal constant _ROLE_29 = 1 << 29;
    uint256 internal constant _ROLE_30 = 1 << 30;
    uint256 internal constant _ROLE_31 = 1 << 31;
    uint256 internal constant _ROLE_32 = 1 << 32;
    uint256 internal constant _ROLE_33 = 1 << 33;
    uint256 internal constant _ROLE_34 = 1 << 34;
    uint256 internal constant _ROLE_35 = 1 << 35;
    uint256 internal constant _ROLE_36 = 1 << 36;
    uint256 internal constant _ROLE_37 = 1 << 37;
    uint256 internal constant _ROLE_38 = 1 << 38;
    uint256 internal constant _ROLE_39 = 1 << 39;
    uint256 internal constant _ROLE_40 = 1 << 40;
    uint256 internal constant _ROLE_41 = 1 << 41;
    uint256 internal constant _ROLE_42 = 1 << 42;
    uint256 internal constant _ROLE_43 = 1 << 43;
    uint256 internal constant _ROLE_44 = 1 << 44;
    uint256 internal constant _ROLE_45 = 1 << 45;
    uint256 internal constant _ROLE_46 = 1 << 46;
    uint256 internal constant _ROLE_47 = 1 << 47;
    uint256 internal constant _ROLE_48 = 1 << 48;
    uint256 internal constant _ROLE_49 = 1 << 49;
    uint256 internal constant _ROLE_50 = 1 << 50;
    uint256 internal constant _ROLE_51 = 1 << 51;
    uint256 internal constant _ROLE_52 = 1 << 52;
    uint256 internal constant _ROLE_53 = 1 << 53;
    uint256 internal constant _ROLE_54 = 1 << 54;
    uint256 internal constant _ROLE_55 = 1 << 55;
    uint256 internal constant _ROLE_56 = 1 << 56;
    uint256 internal constant _ROLE_57 = 1 << 57;
    uint256 internal constant _ROLE_58 = 1 << 58;
    uint256 internal constant _ROLE_59 = 1 << 59;
    uint256 internal constant _ROLE_60 = 1 << 60;
    uint256 internal constant _ROLE_61 = 1 << 61;
    uint256 internal constant _ROLE_62 = 1 << 62;
    uint256 internal constant _ROLE_63 = 1 << 63;
    uint256 internal constant _ROLE_64 = 1 << 64;
    uint256 internal constant _ROLE_65 = 1 << 65;
    uint256 internal constant _ROLE_66 = 1 << 66;
    uint256 internal constant _ROLE_67 = 1 << 67;
    uint256 internal constant _ROLE_68 = 1 << 68;
    uint256 internal constant _ROLE_69 = 1 << 69;
    uint256 internal constant _ROLE_70 = 1 << 70;
    uint256 internal constant _ROLE_71 = 1 << 71;
    uint256 internal constant _ROLE_72 = 1 << 72;
    uint256 internal constant _ROLE_73 = 1 << 73;
    uint256 internal constant _ROLE_74 = 1 << 74;
    uint256 internal constant _ROLE_75 = 1 << 75;
    uint256 internal constant _ROLE_76 = 1 << 76;
    uint256 internal constant _ROLE_77 = 1 << 77;
    uint256 internal constant _ROLE_78 = 1 << 78;
    uint256 internal constant _ROLE_79 = 1 << 79;
    uint256 internal constant _ROLE_80 = 1 << 80;
    uint256 internal constant _ROLE_81 = 1 << 81;
    uint256 internal constant _ROLE_82 = 1 << 82;
    uint256 internal constant _ROLE_83 = 1 << 83;
    uint256 internal constant _ROLE_84 = 1 << 84;
    uint256 internal constant _ROLE_85 = 1 << 85;
    uint256 internal constant _ROLE_86 = 1 << 86;
    uint256 internal constant _ROLE_87 = 1 << 87;
    uint256 internal constant _ROLE_88 = 1 << 88;
    uint256 internal constant _ROLE_89 = 1 << 89;
    uint256 internal constant _ROLE_90 = 1 << 90;
    uint256 internal constant _ROLE_91 = 1 << 91;
    uint256 internal constant _ROLE_92 = 1 << 92;
    uint256 internal constant _ROLE_93 = 1 << 93;
    uint256 internal constant _ROLE_94 = 1 << 94;
    uint256 internal constant _ROLE_95 = 1 << 95;
    uint256 internal constant _ROLE_96 = 1 << 96;
    uint256 internal constant _ROLE_97 = 1 << 97;
    uint256 internal constant _ROLE_98 = 1 << 98;
    uint256 internal constant _ROLE_99 = 1 << 99;
    uint256 internal constant _ROLE_100 = 1 << 100;
    uint256 internal constant _ROLE_101 = 1 << 101;
    uint256 internal constant _ROLE_102 = 1 << 102;
    uint256 internal constant _ROLE_103 = 1 << 103;
    uint256 internal constant _ROLE_104 = 1 << 104;
    uint256 internal constant _ROLE_105 = 1 << 105;
    uint256 internal constant _ROLE_106 = 1 << 106;
    uint256 internal constant _ROLE_107 = 1 << 107;
    uint256 internal constant _ROLE_108 = 1 << 108;
    uint256 internal constant _ROLE_109 = 1 << 109;
    uint256 internal constant _ROLE_110 = 1 << 110;
    uint256 internal constant _ROLE_111 = 1 << 111;
    uint256 internal constant _ROLE_112 = 1 << 112;
    uint256 internal constant _ROLE_113 = 1 << 113;
    uint256 internal constant _ROLE_114 = 1 << 114;
    uint256 internal constant _ROLE_115 = 1 << 115;
    uint256 internal constant _ROLE_116 = 1 << 116;
    uint256 internal constant _ROLE_117 = 1 << 117;
    uint256 internal constant _ROLE_118 = 1 << 118;
    uint256 internal constant _ROLE_119 = 1 << 119;
    uint256 internal constant _ROLE_120 = 1 << 120;
    uint256 internal constant _ROLE_121 = 1 << 121;
    uint256 internal constant _ROLE_122 = 1 << 122;
    uint256 internal constant _ROLE_123 = 1 << 123;
    uint256 internal constant _ROLE_124 = 1 << 124;
    uint256 internal constant _ROLE_125 = 1 << 125;
    uint256 internal constant _ROLE_126 = 1 << 126;
    uint256 internal constant _ROLE_127 = 1 << 127;
    uint256 internal constant _ROLE_128 = 1 << 128;
    uint256 internal constant _ROLE_129 = 1 << 129;
    uint256 internal constant _ROLE_130 = 1 << 130;
    uint256 internal constant _ROLE_131 = 1 << 131;
    uint256 internal constant _ROLE_132 = 1 << 132;
    uint256 internal constant _ROLE_133 = 1 << 133;
    uint256 internal constant _ROLE_134 = 1 << 134;
    uint256 internal constant _ROLE_135 = 1 << 135;
    uint256 internal constant _ROLE_136 = 1 << 136;
    uint256 internal constant _ROLE_137 = 1 << 137;
    uint256 internal constant _ROLE_138 = 1 << 138;
    uint256 internal constant _ROLE_139 = 1 << 139;
    uint256 internal constant _ROLE_140 = 1 << 140;
    uint256 internal constant _ROLE_141 = 1 << 141;
    uint256 internal constant _ROLE_142 = 1 << 142;
    uint256 internal constant _ROLE_143 = 1 << 143;
    uint256 internal constant _ROLE_144 = 1 << 144;
    uint256 internal constant _ROLE_145 = 1 << 145;
    uint256 internal constant _ROLE_146 = 1 << 146;
    uint256 internal constant _ROLE_147 = 1 << 147;
    uint256 internal constant _ROLE_148 = 1 << 148;
    uint256 internal constant _ROLE_149 = 1 << 149;
    uint256 internal constant _ROLE_150 = 1 << 150;
    uint256 internal constant _ROLE_151 = 1 << 151;
    uint256 internal constant _ROLE_152 = 1 << 152;
    uint256 internal constant _ROLE_153 = 1 << 153;
    uint256 internal constant _ROLE_154 = 1 << 154;
    uint256 internal constant _ROLE_155 = 1 << 155;
    uint256 internal constant _ROLE_156 = 1 << 156;
    uint256 internal constant _ROLE_157 = 1 << 157;
    uint256 internal constant _ROLE_158 = 1 << 158;
    uint256 internal constant _ROLE_159 = 1 << 159;
    uint256 internal constant _ROLE_160 = 1 << 160;
    uint256 internal constant _ROLE_161 = 1 << 161;
    uint256 internal constant _ROLE_162 = 1 << 162;
    uint256 internal constant _ROLE_163 = 1 << 163;
    uint256 internal constant _ROLE_164 = 1 << 164;
    uint256 internal constant _ROLE_165 = 1 << 165;
    uint256 internal constant _ROLE_166 = 1 << 166;
    uint256 internal constant _ROLE_167 = 1 << 167;
    uint256 internal constant _ROLE_168 = 1 << 168;
    uint256 internal constant _ROLE_169 = 1 << 169;
    uint256 internal constant _ROLE_170 = 1 << 170;
    uint256 internal constant _ROLE_171 = 1 << 171;
    uint256 internal constant _ROLE_172 = 1 << 172;
    uint256 internal constant _ROLE_173 = 1 << 173;
    uint256 internal constant _ROLE_174 = 1 << 174;
    uint256 internal constant _ROLE_175 = 1 << 175;
    uint256 internal constant _ROLE_176 = 1 << 176;
    uint256 internal constant _ROLE_177 = 1 << 177;
    uint256 internal constant _ROLE_178 = 1 << 178;
    uint256 internal constant _ROLE_179 = 1 << 179;
    uint256 internal constant _ROLE_180 = 1 << 180;
    uint256 internal constant _ROLE_181 = 1 << 181;
    uint256 internal constant _ROLE_182 = 1 << 182;
    uint256 internal constant _ROLE_183 = 1 << 183;
    uint256 internal constant _ROLE_184 = 1 << 184;
    uint256 internal constant _ROLE_185 = 1 << 185;
    uint256 internal constant _ROLE_186 = 1 << 186;
    uint256 internal constant _ROLE_187 = 1 << 187;
    uint256 internal constant _ROLE_188 = 1 << 188;
    uint256 internal constant _ROLE_189 = 1 << 189;
    uint256 internal constant _ROLE_190 = 1 << 190;
    uint256 internal constant _ROLE_191 = 1 << 191;
    uint256 internal constant _ROLE_192 = 1 << 192;
    uint256 internal constant _ROLE_193 = 1 << 193;
    uint256 internal constant _ROLE_194 = 1 << 194;
    uint256 internal constant _ROLE_195 = 1 << 195;
    uint256 internal constant _ROLE_196 = 1 << 196;
    uint256 internal constant _ROLE_197 = 1 << 197;
    uint256 internal constant _ROLE_198 = 1 << 198;
    uint256 internal constant _ROLE_199 = 1 << 199;
    uint256 internal constant _ROLE_200 = 1 << 200;
    uint256 internal constant _ROLE_201 = 1 << 201;
    uint256 internal constant _ROLE_202 = 1 << 202;
    uint256 internal constant _ROLE_203 = 1 << 203;
    uint256 internal constant _ROLE_204 = 1 << 204;
    uint256 internal constant _ROLE_205 = 1 << 205;
    uint256 internal constant _ROLE_206 = 1 << 206;
    uint256 internal constant _ROLE_207 = 1 << 207;
    uint256 internal constant _ROLE_208 = 1 << 208;
    uint256 internal constant _ROLE_209 = 1 << 209;
    uint256 internal constant _ROLE_210 = 1 << 210;
    uint256 internal constant _ROLE_211 = 1 << 211;
    uint256 internal constant _ROLE_212 = 1 << 212;
    uint256 internal constant _ROLE_213 = 1 << 213;
    uint256 internal constant _ROLE_214 = 1 << 214;
    uint256 internal constant _ROLE_215 = 1 << 215;
    uint256 internal constant _ROLE_216 = 1 << 216;
    uint256 internal constant _ROLE_217 = 1 << 217;
    uint256 internal constant _ROLE_218 = 1 << 218;
    uint256 internal constant _ROLE_219 = 1 << 219;
    uint256 internal constant _ROLE_220 = 1 << 220;
    uint256 internal constant _ROLE_221 = 1 << 221;
    uint256 internal constant _ROLE_222 = 1 << 222;
    uint256 internal constant _ROLE_223 = 1 << 223;
    uint256 internal constant _ROLE_224 = 1 << 224;
    uint256 internal constant _ROLE_225 = 1 << 225;
    uint256 internal constant _ROLE_226 = 1 << 226;
    uint256 internal constant _ROLE_227 = 1 << 227;
    uint256 internal constant _ROLE_228 = 1 << 228;
    uint256 internal constant _ROLE_229 = 1 << 229;
    uint256 internal constant _ROLE_230 = 1 << 230;
    uint256 internal constant _ROLE_231 = 1 << 231;
    uint256 internal constant _ROLE_232 = 1 << 232;
    uint256 internal constant _ROLE_233 = 1 << 233;
    uint256 internal constant _ROLE_234 = 1 << 234;
    uint256 internal constant _ROLE_235 = 1 << 235;
    uint256 internal constant _ROLE_236 = 1 << 236;
    uint256 internal constant _ROLE_237 = 1 << 237;
    uint256 internal constant _ROLE_238 = 1 << 238;
    uint256 internal constant _ROLE_239 = 1 << 239;
    uint256 internal constant _ROLE_240 = 1 << 240;
    uint256 internal constant _ROLE_241 = 1 << 241;
    uint256 internal constant _ROLE_242 = 1 << 242;
    uint256 internal constant _ROLE_243 = 1 << 243;
    uint256 internal constant _ROLE_244 = 1 << 244;
    uint256 internal constant _ROLE_245 = 1 << 245;
    uint256 internal constant _ROLE_246 = 1 << 246;
    uint256 internal constant _ROLE_247 = 1 << 247;
    uint256 internal constant _ROLE_248 = 1 << 248;
    uint256 internal constant _ROLE_249 = 1 << 249;
    uint256 internal constant _ROLE_250 = 1 << 250;
    uint256 internal constant _ROLE_251 = 1 << 251;
    uint256 internal constant _ROLE_252 = 1 << 252;
    uint256 internal constant _ROLE_253 = 1 << 253;
    uint256 internal constant _ROLE_254 = 1 << 254;
    uint256 internal constant _ROLE_255 = 1 << 255;
}

// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

/// @notice Gas optimized ECDSA wrapper.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/ECDSA.sol)
/// @author Modified from Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/ECDSA.sol)
/// @author Modified from OpenZeppelin (https://github.com/OpenZeppelin/openzeppelin-contracts/blob/master/contracts/utils/cryptography/ECDSA.sol)
///
/// @dev Note:
/// - The recovery functions use the ecrecover precompile (0x1).
/// - As of Solady version 0.0.68, the `recover` variants will revert upon recovery failure.
///   This is for more safety by default.
///   Use the `tryRecover` variants if you need to get the zero address back
///   upon recovery failure instead.
/// - As of Solady version 0.0.134, all `bytes signature` variants accept both
///   regular 65-byte `(r, s, v)` and EIP-2098 `(r, vs)` short form signatures.
///   See: https://eips.ethereum.org/EIPS/eip-2098
///   This is for calldata efficiency on smart accounts prevalent on L2s.
///
/// WARNING! Do NOT directly use signatures as unique identifiers:
/// - The recovery operations do NOT check if a signature is non-malleable.
/// - Use a nonce in the digest to prevent replay attacks on the same contract.
/// - Use EIP-712 for the digest to prevent replay attacks across different chains and contracts.
///   EIP-712 also enables readable signing of typed data for better user safety.
/// - If you need a unique hash from a signature, please use the `canonicalHash` functions.
library ECDSA {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                         CONSTANTS                          */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev The order of the secp256k1 elliptic curve.
    uint256 internal constant N = 0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141;

    /// @dev `N/2 + 1`. Used for checking the malleability of the signature.
    uint256 private constant _HALF_N_PLUS_1 =
        0x7fffffffffffffffffffffffffffffff5d576e7357a4501ddfe92f46681b20a1;

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                        CUSTOM ERRORS                       */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev The signature is invalid.
    error InvalidSignature();

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                    RECOVERY OPERATIONS                     */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Recovers the signer's address from a message digest `hash`, and the `signature`.
    function recover(bytes32 hash, bytes memory signature) internal view returns (address result) {
        /// @solidity memory-safe-assembly
        assembly {
            for { let m := mload(0x40) } 1 {
                mstore(0x00, 0x8baa579f) // `InvalidSignature()`.
                revert(0x1c, 0x04)
            } {
                switch mload(signature)
                case 64 {
                    let vs := mload(add(signature, 0x40))
                    mstore(0x20, add(shr(255, vs), 27)) // `v`.
                    mstore(0x60, shr(1, shl(1, vs))) // `s`.
                }
                case 65 {
                    mstore(0x20, byte(0, mload(add(signature, 0x60)))) // `v`.
                    mstore(0x60, mload(add(signature, 0x40))) // `s`.
                }
                default { continue }
                mstore(0x00, hash)
                mstore(0x40, mload(add(signature, 0x20))) // `r`.
                result := mload(staticcall(gas(), 1, 0x00, 0x80, 0x01, 0x20))
                mstore(0x60, 0) // Restore the zero slot.
                mstore(0x40, m) // Restore the free memory pointer.
                // `returndatasize()` will be `0x20` upon success, and `0x00` otherwise.
                if returndatasize() { break }
            }
        }
    }

    /// @dev Recovers the signer's address from a message digest `hash`, and the `signature`.
    function recoverCalldata(bytes32 hash, bytes calldata signature)
        internal
        view
        returns (address result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            for { let m := mload(0x40) } 1 {
                mstore(0x00, 0x8baa579f) // `InvalidSignature()`.
                revert(0x1c, 0x04)
            } {
                switch signature.length
                case 64 {
                    let vs := calldataload(add(signature.offset, 0x20))
                    mstore(0x20, add(shr(255, vs), 27)) // `v`.
                    mstore(0x40, calldataload(signature.offset)) // `r`.
                    mstore(0x60, shr(1, shl(1, vs))) // `s`.
                }
                case 65 {
                    mstore(0x20, byte(0, calldataload(add(signature.offset, 0x40)))) // `v`.
                    calldatacopy(0x40, signature.offset, 0x40) // Copy `r` and `s`.
                }
                default { continue }
                mstore(0x00, hash)
                result := mload(staticcall(gas(), 1, 0x00, 0x80, 0x01, 0x20))
                mstore(0x60, 0) // Restore the zero slot.
                mstore(0x40, m) // Restore the free memory pointer.
                // `returndatasize()` will be `0x20` upon success, and `0x00` otherwise.
                if returndatasize() { break }
            }
        }
    }

    /// @dev Recovers the signer's address from a message digest `hash`,
    /// and the EIP-2098 short form signature defined by `r` and `vs`.
    function recover(bytes32 hash, bytes32 r, bytes32 vs) internal view returns (address result) {
        /// @solidity memory-safe-assembly
        assembly {
            let m := mload(0x40) // Cache the free memory pointer.
            mstore(0x00, hash)
            mstore(0x20, add(shr(255, vs), 27)) // `v`.
            mstore(0x40, r)
            mstore(0x60, shr(1, shl(1, vs))) // `s`.
            result := mload(staticcall(gas(), 1, 0x00, 0x80, 0x01, 0x20))
            // `returndatasize()` will be `0x20` upon success, and `0x00` otherwise.
            if iszero(returndatasize()) {
                mstore(0x00, 0x8baa579f) // `InvalidSignature()`.
                revert(0x1c, 0x04)
            }
            mstore(0x60, 0) // Restore the zero slot.
            mstore(0x40, m) // Restore the free memory pointer.
        }
    }

    /// @dev Recovers the signer's address from a message digest `hash`,
    /// and the signature defined by `v`, `r`, `s`.
    function recover(bytes32 hash, uint8 v, bytes32 r, bytes32 s)
        internal
        view
        returns (address result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            let m := mload(0x40) // Cache the free memory pointer.
            mstore(0x00, hash)
            mstore(0x20, and(v, 0xff))
            mstore(0x40, r)
            mstore(0x60, s)
            result := mload(staticcall(gas(), 1, 0x00, 0x80, 0x01, 0x20))
            // `returndatasize()` will be `0x20` upon success, and `0x00` otherwise.
            if iszero(returndatasize()) {
                mstore(0x00, 0x8baa579f) // `InvalidSignature()`.
                revert(0x1c, 0x04)
            }
            mstore(0x60, 0) // Restore the zero slot.
            mstore(0x40, m) // Restore the free memory pointer.
        }
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                   TRY-RECOVER OPERATIONS                   */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    // WARNING!
    // These functions will NOT revert upon recovery failure.
    // Instead, they will return the zero address upon recovery failure.
    // It is critical that the returned address is NEVER compared against
    // a zero address (e.g. an uninitialized address variable).

    /// @dev Recovers the signer's address from a message digest `hash`, and the `signature`.
    function tryRecover(bytes32 hash, bytes memory signature)
        internal
        view
        returns (address result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            for { let m := mload(0x40) } 1 {} {
                switch mload(signature)
                case 64 {
                    let vs := mload(add(signature, 0x40))
                    mstore(0x20, add(shr(255, vs), 27)) // `v`.
                    mstore(0x60, shr(1, shl(1, vs))) // `s`.
                }
                case 65 {
                    mstore(0x20, byte(0, mload(add(signature, 0x60)))) // `v`.
                    mstore(0x60, mload(add(signature, 0x40))) // `s`.
                }
                default { break }
                mstore(0x00, hash)
                mstore(0x40, mload(add(signature, 0x20))) // `r`.
                pop(staticcall(gas(), 1, 0x00, 0x80, 0x40, 0x20))
                mstore(0x60, 0) // Restore the zero slot.
                // `returndatasize()` will be `0x20` upon success, and `0x00` otherwise.
                result := mload(xor(0x60, returndatasize()))
                mstore(0x40, m) // Restore the free memory pointer.
                break
            }
        }
    }

    /// @dev Recovers the signer's address from a message digest `hash`, and the `signature`.
    function tryRecoverCalldata(bytes32 hash, bytes calldata signature)
        internal
        view
        returns (address result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            for { let m := mload(0x40) } 1 {} {
                switch signature.length
                case 64 {
                    let vs := calldataload(add(signature.offset, 0x20))
                    mstore(0x20, add(shr(255, vs), 27)) // `v`.
                    mstore(0x40, calldataload(signature.offset)) // `r`.
                    mstore(0x60, shr(1, shl(1, vs))) // `s`.
                }
                case 65 {
                    mstore(0x20, byte(0, calldataload(add(signature.offset, 0x40)))) // `v`.
                    calldatacopy(0x40, signature.offset, 0x40) // Copy `r` and `s`.
                }
                default { break }
                mstore(0x00, hash)
                pop(staticcall(gas(), 1, 0x00, 0x80, 0x40, 0x20))
                mstore(0x60, 0) // Restore the zero slot.
                // `returndatasize()` will be `0x20` upon success, and `0x00` otherwise.
                result := mload(xor(0x60, returndatasize()))
                mstore(0x40, m) // Restore the free memory pointer.
                break
            }
        }
    }

    /// @dev Recovers the signer's address from a message digest `hash`,
    /// and the EIP-2098 short form signature defined by `r` and `vs`.
    function tryRecover(bytes32 hash, bytes32 r, bytes32 vs)
        internal
        view
        returns (address result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            let m := mload(0x40) // Cache the free memory pointer.
            mstore(0x00, hash)
            mstore(0x20, add(shr(255, vs), 27)) // `v`.
            mstore(0x40, r)
            mstore(0x60, shr(1, shl(1, vs))) // `s`.
            pop(staticcall(gas(), 1, 0x00, 0x80, 0x40, 0x20))
            mstore(0x60, 0) // Restore the zero slot.
            // `returndatasize()` will be `0x20` upon success, and `0x00` otherwise.
            result := mload(xor(0x60, returndatasize()))
            mstore(0x40, m) // Restore the free memory pointer.
        }
    }

    /// @dev Recovers the signer's address from a message digest `hash`,
    /// and the signature defined by `v`, `r`, `s`.
    function tryRecover(bytes32 hash, uint8 v, bytes32 r, bytes32 s)
        internal
        view
        returns (address result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            let m := mload(0x40) // Cache the free memory pointer.
            mstore(0x00, hash)
            mstore(0x20, and(v, 0xff))
            mstore(0x40, r)
            mstore(0x60, s)
            pop(staticcall(gas(), 1, 0x00, 0x80, 0x40, 0x20))
            mstore(0x60, 0) // Restore the zero slot.
            // `returndatasize()` will be `0x20` upon success, and `0x00` otherwise.
            result := mload(xor(0x60, returndatasize()))
            mstore(0x40, m) // Restore the free memory pointer.
        }
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                     HASHING OPERATIONS                     */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Returns an Ethereum Signed Message, created from a `hash`.
    /// This produces a hash corresponding to the one signed with the
    /// [`eth_sign`](https://ethereum.org/en/developers/docs/apis/json-rpc/#eth_sign)
    /// JSON-RPC method as part of EIP-191.
    function toEthSignedMessageHash(bytes32 hash) internal pure returns (bytes32 result) {
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x20, hash) // Store into scratch space for keccak256.
            mstore(0x00, "\x00\x00\x00\x00\x19Ethereum Signed Message:\n32") // 28 bytes.
            result := keccak256(0x04, 0x3c) // `32 * 2 - (32 - 28) = 60 = 0x3c`.
        }
    }

    /// @dev Returns an Ethereum Signed Message, created from `s`.
    /// This produces a hash corresponding to the one signed with the
    /// [`eth_sign`](https://ethereum.org/en/developers/docs/apis/json-rpc/#eth_sign)
    /// JSON-RPC method as part of EIP-191.
    /// Note: Supports lengths of `s` up to 999999 bytes.
    function toEthSignedMessageHash(bytes memory s) internal pure returns (bytes32 result) {
        /// @solidity memory-safe-assembly
        assembly {
            let sLength := mload(s)
            let o := 0x20
            mstore(o, "\x19Ethereum Signed Message:\n") // 26 bytes, zero-right-padded.
            mstore(0x00, 0x00)
            // Convert the `s.length` to ASCII decimal representation: `base10(s.length)`.
            for { let temp := sLength } 1 {} {
                o := sub(o, 1)
                mstore8(o, add(48, mod(temp, 10)))
                temp := div(temp, 10)
                if iszero(temp) { break }
            }
            let n := sub(0x3a, o) // Header length: `26 + 32 - o`.
            // Throw an out-of-offset error (consumes all gas) if the header exceeds 32 bytes.
            returndatacopy(returndatasize(), returndatasize(), gt(n, 0x20))
            mstore(s, or(mload(0x00), mload(n))) // Temporarily store the header.
            result := keccak256(add(s, sub(0x20, n)), add(n, sLength))
            mstore(s, sLength) // Restore the length.
        }
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                  CANONICAL HASH FUNCTIONS                  */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    // The following functions returns the hash of the signature in it's canonicalized format,
    // which is the 65-byte `abi.encodePacked(r, s, uint8(v))`, where `v` is either 27 or 28.
    // If `s` is greater than `N / 2` then it will be converted to `N - s`
    // and the `v` value will be flipped.
    // If the signature has an invalid length, or if `v` is invalid,
    // a uniquely corrupt hash will be returned.
    // These functions are useful for "poor-mans-VRF".

    /// @dev Returns the canonical hash of `signature`.
    function canonicalHash(bytes memory signature) internal pure returns (bytes32 result) {
        /// @solidity memory-safe-assembly
        assembly {
            let l := mload(signature)
            for {} 1 {} {
                mstore(0x00, mload(add(signature, 0x20))) // `r`.
                let s := mload(add(signature, 0x40))
                let v := mload(add(signature, 0x41))
                if eq(l, 64) {
                    v := add(shr(255, s), 27)
                    s := shr(1, shl(1, s))
                }
                if iszero(lt(s, _HALF_N_PLUS_1)) {
                    v := xor(v, 7)
                    s := sub(N, s)
                }
                mstore(0x21, v)
                mstore(0x20, s)
                result := keccak256(0x00, 0x41)
                mstore(0x21, 0) // Restore the overwritten part of the free memory pointer.
                break
            }

            // If the length is neither 64 nor 65, return a uniquely corrupted hash.
            if iszero(lt(sub(l, 64), 2)) {
                // `bytes4(keccak256("InvalidSignatureLength"))`.
                result := xor(keccak256(add(signature, 0x20), l), 0xd62f1ab2)
            }
        }
    }

    /// @dev Returns the canonical hash of `signature`.
    function canonicalHashCalldata(bytes calldata signature)
        internal
        pure
        returns (bytes32 result)
    {
        /// @solidity memory-safe-assembly
        assembly {
            for {} 1 {} {
                mstore(0x00, calldataload(signature.offset)) // `r`.
                let s := calldataload(add(signature.offset, 0x20))
                let v := calldataload(add(signature.offset, 0x21))
                if eq(signature.length, 64) {
                    v := add(shr(255, s), 27)
                    s := shr(1, shl(1, s))
                }
                if iszero(lt(s, _HALF_N_PLUS_1)) {
                    v := xor(v, 7)
                    s := sub(N, s)
                }
                mstore(0x21, v)
                mstore(0x20, s)
                result := keccak256(0x00, 0x41)
                mstore(0x21, 0) // Restore the overwritten part of the free memory pointer.
                break
            }
            // If the length is neither 64 nor 65, return a uniquely corrupted hash.
            if iszero(lt(sub(signature.length, 64), 2)) {
                calldatacopy(mload(0x40), signature.offset, signature.length)
                // `bytes4(keccak256("InvalidSignatureLength"))`.
                result := xor(keccak256(mload(0x40), signature.length), 0xd62f1ab2)
            }
        }
    }

    /// @dev Returns the canonical hash of `signature`.
    function canonicalHash(bytes32 r, bytes32 vs) internal pure returns (bytes32 result) {
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x00, r) // `r`.
            let v := add(shr(255, vs), 27)
            let s := shr(1, shl(1, vs))
            mstore(0x21, v)
            mstore(0x20, s)
            result := keccak256(0x00, 0x41)
            mstore(0x21, 0) // Restore the overwritten part of the free memory pointer.
        }
    }

    /// @dev Returns the canonical hash of `signature`.
    function canonicalHash(uint8 v, bytes32 r, bytes32 s) internal pure returns (bytes32 result) {
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x00, r) // `r`.
            if iszero(lt(s, _HALF_N_PLUS_1)) {
                v := xor(v, 7)
                s := sub(N, s)
            }
            mstore(0x21, v)
            mstore(0x20, s)
            result := keccak256(0x00, 0x41)
            mstore(0x21, 0) // Restore the overwritten part of the free memory pointer.
        }
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                   EMPTY CALLDATA HELPERS                   */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Returns an empty calldata bytes.
    function emptySignature() internal pure returns (bytes calldata signature) {
        /// @solidity memory-safe-assembly
        assembly {
            signature.length := 0
        }
    }
}

// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

/// @notice Gas optimized verification of proof of inclusion for a leaf in a Merkle tree.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/MerkleProofLib.sol)
/// @author Modified from Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/MerkleProofLib.sol)
/// @author Modified from OpenZeppelin (https://github.com/OpenZeppelin/openzeppelin-contracts/blob/master/contracts/utils/cryptography/MerkleProof.sol)
library MerkleProofLib {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*            MERKLE PROOF VERIFICATION OPERATIONS            */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Returns whether `leaf` exists in the Merkle tree with `root`, given `proof`.
    function verify(bytes32[] memory proof, bytes32 root, bytes32 leaf)
        internal
        pure
        returns (bool isValid)
    {
        /// @solidity memory-safe-assembly
        assembly {
            if mload(proof) {
                // Initialize `offset` to the offset of `proof` elements in memory.
                let offset := add(proof, 0x20)
                // Left shift by 5 is equivalent to multiplying by 0x20.
                let end := add(offset, shl(5, mload(proof)))
                // Iterate over proof elements to compute root hash.
                for {} 1 {} {
                    // Slot of `leaf` in scratch space.
                    // If the condition is true: 0x20, otherwise: 0x00.
                    let scratch := shl(5, gt(leaf, mload(offset)))
                    // Store elements to hash contiguously in scratch space.
                    // Scratch space is 64 bytes (0x00 - 0x3f) and both elements are 32 bytes.
                    mstore(scratch, leaf)
                    mstore(xor(scratch, 0x20), mload(offset))
                    // Reuse `leaf` to store the hash to reduce stack operations.
                    leaf := keccak256(0x00, 0x40)
                    offset := add(offset, 0x20)
                    if iszero(lt(offset, end)) { break }
                }
            }
            isValid := eq(leaf, root)
        }
    }

    /// @dev Returns whether `leaf` exists in the Merkle tree with `root`, given `proof`.
    function verifyCalldata(bytes32[] calldata proof, bytes32 root, bytes32 leaf)
        internal
        pure
        returns (bool isValid)
    {
        /// @solidity memory-safe-assembly
        assembly {
            if proof.length {
                // Left shift by 5 is equivalent to multiplying by 0x20.
                let end := add(proof.offset, shl(5, proof.length))
                // Initialize `offset` to the offset of `proof` in the calldata.
                let offset := proof.offset
                // Iterate over proof elements to compute root hash.
                for {} 1 {} {
                    // Slot of `leaf` in scratch space.
                    // If the condition is true: 0x20, otherwise: 0x00.
                    let scratch := shl(5, gt(leaf, calldataload(offset)))
                    // Store elements to hash contiguously in scratch space.
                    // Scratch space is 64 bytes (0x00 - 0x3f) and both elements are 32 bytes.
                    mstore(scratch, leaf)
                    mstore(xor(scratch, 0x20), calldataload(offset))
                    // Reuse `leaf` to store the hash to reduce stack operations.
                    leaf := keccak256(0x00, 0x40)
                    offset := add(offset, 0x20)
                    if iszero(lt(offset, end)) { break }
                }
            }
            isValid := eq(leaf, root)
        }
    }

    /// @dev Returns whether all `leaves` exist in the Merkle tree with `root`,
    /// given `proof` and `flags`.
    ///
    /// Note:
    /// - Breaking the invariant `flags.length == (leaves.length - 1) + proof.length`
    ///   will always return false.
    /// - The sum of the lengths of `proof` and `leaves` must never overflow.
    /// - Any non-zero word in the `flags` array is treated as true.
    /// - The memory offset of `proof` must be non-zero
    ///   (i.e. `proof` is not pointing to the scratch space).
    function verifyMultiProof(
        bytes32[] memory proof,
        bytes32 root,
        bytes32[] memory leaves,
        bool[] memory flags
    ) internal pure returns (bool isValid) {
        // Rebuilds the root by consuming and producing values on a queue.
        // The queue starts with the `leaves` array, and goes into a `hashes` array.
        // After the process, the last element on the queue is verified
        // to be equal to the `root`.
        //
        // The `flags` array denotes whether the sibling
        // should be popped from the queue (`flag == true`), or
        // should be popped from the `proof` (`flag == false`).
        /// @solidity memory-safe-assembly
        assembly {
            // Cache the lengths of the arrays.
            let leavesLength := mload(leaves)
            let proofLength := mload(proof)
            let flagsLength := mload(flags)

            // Advance the pointers of the arrays to point to the data.
            leaves := add(0x20, leaves)
            proof := add(0x20, proof)
            flags := add(0x20, flags)

            // If the number of flags is correct.
            for {} eq(add(leavesLength, proofLength), add(flagsLength, 1)) {} {
                // For the case where `proof.length + leaves.length == 1`.
                if iszero(flagsLength) {
                    // `isValid = (proof.length == 1 ? proof[0] : leaves[0]) == root`.
                    isValid := eq(mload(xor(leaves, mul(xor(proof, leaves), proofLength))), root)
                    break
                }

                // The required final proof offset if `flagsLength` is not zero, otherwise zero.
                let proofEnd := add(proof, shl(5, proofLength))
                // We can use the free memory space for the queue.
                // We don't need to allocate, since the queue is temporary.
                let hashesFront := mload(0x40)
                // Copy the leaves into the hashes.
                // Sometimes, a little memory expansion costs less than branching.
                // Should cost less, even with a high free memory offset of 0x7d00.
                leavesLength := shl(5, leavesLength)
                for { let i := 0 } iszero(eq(i, leavesLength)) { i := add(i, 0x20) } {
                    mstore(add(hashesFront, i), mload(add(leaves, i)))
                }
                // Compute the back of the hashes.
                let hashesBack := add(hashesFront, leavesLength)
                // This is the end of the memory for the queue.
                // We recycle `flagsLength` to save on stack variables (sometimes save gas).
                flagsLength := add(hashesBack, shl(5, flagsLength))

                for {} 1 {} {
                    // Pop from `hashes`.
                    let a := mload(hashesFront)
                    // Pop from `hashes`.
                    let b := mload(add(hashesFront, 0x20))
                    hashesFront := add(hashesFront, 0x40)

                    // If the flag is false, load the next proof,
                    // else, pops from the queue.
                    if iszero(mload(flags)) {
                        // Loads the next proof.
                        b := mload(proof)
                        proof := add(proof, 0x20)
                        // Unpop from `hashes`.
                        hashesFront := sub(hashesFront, 0x20)
                    }

                    // Advance to the next flag.
                    flags := add(flags, 0x20)

                    // Slot of `a` in scratch space.
                    // If the condition is true: 0x20, otherwise: 0x00.
                    let scratch := shl(5, gt(a, b))
                    // Hash the scratch space and push the result onto the queue.
                    mstore(scratch, a)
                    mstore(xor(scratch, 0x20), b)
                    mstore(hashesBack, keccak256(0x00, 0x40))
                    hashesBack := add(hashesBack, 0x20)
                    if iszero(lt(hashesBack, flagsLength)) { break }
                }
                isValid :=
                    and(
                        // Checks if the last value in the queue is same as the root.
                        eq(mload(sub(hashesBack, 0x20)), root),
                        // And whether all the proofs are used, if required.
                        eq(proofEnd, proof)
                    )
                break
            }
        }
    }

    /// @dev Returns whether all `leaves` exist in the Merkle tree with `root`,
    /// given `proof` and `flags`.
    ///
    /// Note:
    /// - Breaking the invariant `flags.length == (leaves.length - 1) + proof.length`
    ///   will always return false.
    /// - Any non-zero word in the `flags` array is treated as true.
    /// - The calldata offset of `proof` must be non-zero
    ///   (i.e. `proof` is from a regular Solidity function with a 4-byte selector).
    function verifyMultiProofCalldata(
        bytes32[] calldata proof,
        bytes32 root,
        bytes32[] calldata leaves,
        bool[] calldata flags
    ) internal pure returns (bool isValid) {
        // Rebuilds the root by consuming and producing values on a queue.
        // The queue starts with the `leaves` array, and goes into a `hashes` array.
        // After the process, the last element on the queue is verified
        // to be equal to the `root`.
        //
        // The `flags` array denotes whether the sibling
        // should be popped from the queue (`flag == true`), or
        // should be popped from the `proof` (`flag == false`).
        /// @solidity memory-safe-assembly
        assembly {
            // If the number of flags is correct.
            for {} eq(add(leaves.length, proof.length), add(flags.length, 1)) {} {
                // For the case where `proof.length + leaves.length == 1`.
                if iszero(flags.length) {
                    // `isValid = (proof.length == 1 ? proof[0] : leaves[0]) == root`.
                    // forgefmt: disable-next-item
                    isValid := eq(
                        calldataload(
                            xor(leaves.offset, mul(xor(proof.offset, leaves.offset), proof.length))
                        ),
                        root
                    )
                    break
                }

                // The required final proof offset if `flagsLength` is not zero, otherwise zero.
                let proofEnd := add(proof.offset, shl(5, proof.length))
                // We can use the free memory space for the queue.
                // We don't need to allocate, since the queue is temporary.
                let hashesFront := mload(0x40)
                // Copy the leaves into the hashes.
                // Sometimes, a little memory expansion costs less than branching.
                // Should cost less, even with a high free memory offset of 0x7d00.
                calldatacopy(hashesFront, leaves.offset, shl(5, leaves.length))
                // Compute the back of the hashes.
                let hashesBack := add(hashesFront, shl(5, leaves.length))
                // This is the end of the memory for the queue.
                // We recycle `flagsLength` to save on stack variables (sometimes save gas).
                flags.length := add(hashesBack, shl(5, flags.length))

                // We don't need to make a copy of `proof.offset` or `flags.offset`,
                // as they are pass-by-value (this trick may not always save gas).

                for {} 1 {} {
                    // Pop from `hashes`.
                    let a := mload(hashesFront)
                    // Pop from `hashes`.
                    let b := mload(add(hashesFront, 0x20))
                    hashesFront := add(hashesFront, 0x40)

                    // If the flag is false, load the next proof,
                    // else, pops from the queue.
                    if iszero(calldataload(flags.offset)) {
                        // Loads the next proof.
                        b := calldataload(proof.offset)
                        proof.offset := add(proof.offset, 0x20)
                        // Unpop from `hashes`.
                        hashesFront := sub(hashesFront, 0x20)
                    }

                    // Advance to the next flag offset.
                    flags.offset := add(flags.offset, 0x20)

                    // Slot of `a` in scratch space.
                    // If the condition is true: 0x20, otherwise: 0x00.
                    let scratch := shl(5, gt(a, b))
                    // Hash the scratch space and push the result onto the queue.
                    mstore(scratch, a)
                    mstore(xor(scratch, 0x20), b)
                    mstore(hashesBack, keccak256(0x00, 0x40))
                    hashesBack := add(hashesBack, 0x20)
                    if iszero(lt(hashesBack, flags.length)) { break }
                }
                isValid :=
                    and(
                        // Checks if the last value in the queue is same as the root.
                        eq(mload(sub(hashesBack, 0x20)), root),
                        // And whether all the proofs are used, if required.
                        eq(proofEnd, proof.offset)
                    )
                break
            }
        }
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                   EMPTY CALLDATA HELPERS                   */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Returns an empty calldata bytes32 array.
    function emptyProof() internal pure returns (bytes32[] calldata proof) {
        /// @solidity memory-safe-assembly
        assembly {
            proof.length := 0
        }
    }

    /// @dev Returns an empty calldata bytes32 array.
    function emptyLeaves() internal pure returns (bytes32[] calldata leaves) {
        /// @solidity memory-safe-assembly
        assembly {
            leaves.length := 0
        }
    }

    /// @dev Returns an empty calldata bool array.
    function emptyFlags() internal pure returns (bool[] calldata flags) {
        /// @solidity memory-safe-assembly
        assembly {
            flags.length := 0
        }
    }
}

// SPDX-License-Identifier: MIT
pragma solidity 0.8.25;

struct StreamConfig {
    address recipient;
    address revokeAuthority;
    address token;
    uint256 amount;
    uint256 startTime;
    uint256 cliffTime;
    uint256 endTime;
    uint256 startUnlockPercentage;
    uint256 cliffUnlockPercentage;
    uint256 pieceDuration;
    address verifier;
    uint256 id;
}

/**
 * @dev Stream struct containing all parameters for a token stream
 * @param recipient Address that will receive the streamed tokens
 * @param revokeAuthority Address with permission to revoke the stream
 * @param token Address of the ERC20 token being streamed
 * @param amount Total amount of tokens in the stream
 * @param claimedAmount Amount of tokens already claimed
 * @param startTime Timestamp when the stream begins
 * @param cliffTime Timestamp when the cliff period ends
 * @param endTime Timestamp when the stream ends
 * @param startUnlockPercentage Percentage of tokens unlocked at start (18 decimals)
 * @param cliffUnlockPercentage Percentage of tokens unlocked at cliff (18 decimals)
 * @param pieceDuration Duration of each vesting piece (0 for linear vesting)
 */
struct Stream {
    address recipient;
    address revokeAuthority;
    address token;
    uint256 amount;
    uint256 claimedAmount;
    uint256 startTime;
    uint256 cliffTime;
    uint256 endTime;
    uint256 startUnlockPercentage;
    uint256 cliffUnlockPercentage;
    uint256 pieceDuration;
}

struct Badge {
    address verifier;
    uint256 id;
}

interface IVerifier {
    function ownerOf(uint256 id) external view returns (address);
}

interface ICliqueLock {
    // EXTERNAL FUNCTIONS - STREAM CREATION
    /**
     * @notice Creates a stream using standard ERC20 approve
     * @dev Requires prior approval of token transfer
     * @param config StreamConfig struct containing the stream parameters
     * @return streamId Unique identifier of the created stream
     */
    function createStream(StreamConfig calldata config) external returns (uint256 streamId);

    // EXTERNAL FUNCTIONS - STREAM REVOCATION
    /**
     * @notice Revokes a stream, returning unclaimed tokens to the revokeAuthority
     * @dev Can only be called by the designated revokeAuthority
     * @param streamId ID of the stream to revoke
     */
    function revokeStream(uint256 streamId) external;

    /**
     * @notice Returns the stream information for a given streamId
     * @param streamId ID of the stream to query
     * @return stream Stream struct containing the stream information
     */
    function streams(uint256 streamId) external view returns (Stream memory stream);
}