// File: lib/ens-contracts/contracts/registry/ENS.sol



pragma solidity >=0.8.4;

interface ENS {
    // Logged when the owner of a node assigns a new owner to a subnode.
    event NewOwner(bytes32 indexed node, bytes32 indexed label, address owner);

    // Logged when the owner of a node transfers ownership to a new account.
    event Transfer(bytes32 indexed node, address owner);

    // Logged when the resolver for a node changes.
    event NewResolver(bytes32 indexed node, address resolver);

    // Logged when the TTL of a node changes
    event NewTTL(bytes32 indexed node, uint64 ttl);

    // Logged when an operator is added or removed.
    event ApprovalForAll(
        address indexed owner,
        address indexed operator,
        bool approved
    );

    function setRecord(
        bytes32 node,
        address owner,
        address resolver,
        uint64 ttl
    ) external;

    function setSubnodeRecord(
        bytes32 node,
        bytes32 label,
        address owner,
        address resolver,
        uint64 ttl
    ) external;

    function setSubnodeOwner(
        bytes32 node,
        bytes32 label,
        address owner
    ) external returns (bytes32);

    function setResolver(bytes32 node, address resolver) external;

    function setOwner(bytes32 node, address owner) external;

    function setTTL(bytes32 node, uint64 ttl) external;

    function setApprovalForAll(address operator, bool approved) external;

    function owner(bytes32 node) external view returns (address);

    function resolver(bytes32 node) external view returns (address);

    function ttl(bytes32 node) external view returns (uint64);

    function recordExists(bytes32 node) external view returns (bool);

    function isApprovedForAll(
        address owner,
        address operator
    ) external view returns (bool);
}

// File: lib/ens-contracts/contracts/resolvers/profiles/IAddrResolver.sol



// SPDX-License-Identifier: MIT
pragma solidity >=0.8.4;

/**
 * Interface for the legacy (ETH-only) addr function.
 */
interface IAddrResolver {
    event AddrChanged(bytes32 indexed node, address a);

    /**
     * Returns the address associated with an ENS node.
     * @param node The ENS node to query.
     * @return The associated address.
     */
    function addr(bytes32 node) external view returns (address payable);
}

// File: lib/openzeppelin-contracts/contracts/access/Ownable.sol



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

pragma solidity ^0.8.0;

import "../utils/Context.sol";

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

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

    /**
     * @dev Initializes the contract setting the deployer as the initial owner.
     */
    constructor() {
        _transferOwnership(_msgSender());
    }

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

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

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

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

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

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

// File: lib/openzeppelin-contracts/contracts/interfaces/IERC1271.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (interfaces/IERC1271.sol)

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC1271 standard signature validation method for
 * contracts as defined in https://eips.ethereum.org/EIPS/eip-1271[ERC-1271].
 *
 * _Available since v4.1._
 */
interface IERC1271 {
    /**
     * @dev Should return whether the signature provided is valid for the provided data
     * @param hash      Hash of the data to be signed
     * @param signature Signature byte array associated with _data
     */
    function isValidSignature(bytes32 hash, bytes memory signature) external view returns (bytes4 magicValue);
}

// File: lib/openzeppelin-contracts/contracts/security/Pausable.sol



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

pragma solidity ^0.8.0;

import "../utils/Context.sol";

/**
 * @dev Contract module which allows children to implement an emergency stop
 * mechanism that can be triggered by an authorized account.
 *
 * This module is used through inheritance. It will make available the
 * modifiers `whenNotPaused` and `whenPaused`, which can be applied to
 * the functions of your contract. Note that they will not be pausable by
 * simply including this module, only once the modifiers are put in place.
 */
abstract contract Pausable is Context {
    /**
     * @dev Emitted when the pause is triggered by `account`.
     */
    event Paused(address account);

    /**
     * @dev Emitted when the pause is lifted by `account`.
     */
    event Unpaused(address account);

    bool private _paused;

    /**
     * @dev Initializes the contract in unpaused state.
     */
    constructor() {
        _paused = false;
    }

    /**
     * @dev Modifier to make a function callable only when the contract is not paused.
     *
     * Requirements:
     *
     * - The contract must not be paused.
     */
    modifier whenNotPaused() {
        _requireNotPaused();
        _;
    }

    /**
     * @dev Modifier to make a function callable only when the contract is paused.
     *
     * Requirements:
     *
     * - The contract must be paused.
     */
    modifier whenPaused() {
        _requirePaused();
        _;
    }

    /**
     * @dev Returns true if the contract is paused, and false otherwise.
     */
    function paused() public view virtual returns (bool) {
        return _paused;
    }

    /**
     * @dev Throws if the contract is paused.
     */
    function _requireNotPaused() internal view virtual {
        require(!paused(), "Pausable: paused");
    }

    /**
     * @dev Throws if the contract is not paused.
     */
    function _requirePaused() internal view virtual {
        require(paused(), "Pausable: not paused");
    }

    /**
     * @dev Triggers stopped state.
     *
     * Requirements:
     *
     * - The contract must not be paused.
     */
    function _pause() internal virtual whenNotPaused {
        _paused = true;
        emit Paused(_msgSender());
    }

    /**
     * @dev Returns to normal state.
     *
     * Requirements:
     *
     * - The contract must be paused.
     */
    function _unpause() internal virtual whenPaused {
        _paused = false;
        emit Unpaused(_msgSender());
    }
}

// File: lib/openzeppelin-contracts/contracts/utils/Context.sol



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

pragma solidity ^0.8.0;

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

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

// File: lib/openzeppelin-contracts/contracts/utils/Strings.sol



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

pragma solidity ^0.8.0;

import "./math/Math.sol";

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

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

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

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

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

// File: lib/openzeppelin-contracts/contracts/utils/cryptography/ECDSA.sol



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

pragma solidity ^0.8.0;

import "../Strings.sol";

/**
 * @dev Elliptic Curve Digital Signature Algorithm (ECDSA) operations.
 *
 * These functions can be used to verify that a message was signed by the holder
 * of the private keys of a given address.
 */
library ECDSA {
    enum RecoverError {
        NoError,
        InvalidSignature,
        InvalidSignatureLength,
        InvalidSignatureS,
        InvalidSignatureV // Deprecated in v4.8
    }

    function _throwError(RecoverError error) private pure {
        if (error == RecoverError.NoError) {
            return; // no error: do nothing
        } else if (error == RecoverError.InvalidSignature) {
            revert("ECDSA: invalid signature");
        } else if (error == RecoverError.InvalidSignatureLength) {
            revert("ECDSA: invalid signature length");
        } else if (error == RecoverError.InvalidSignatureS) {
            revert("ECDSA: invalid signature 's' value");
        }
    }

    /**
     * @dev Returns the address that signed a hashed message (`hash`) with
     * `signature` or error string. This address can then be used for verification purposes.
     *
     * The `ecrecover` EVM opcode allows for malleable (non-unique) signatures:
     * this function rejects them by requiring the `s` value to be in the lower
     * half order, and the `v` value to be either 27 or 28.
     *
     * IMPORTANT: `hash` _must_ be the result of a hash operation for the
     * verification to be secure: it is possible to craft signatures that
     * recover to arbitrary addresses for non-hashed data. A safe way to ensure
     * this is by receiving a hash of the original message (which may otherwise
     * be too long), and then calling {toEthSignedMessageHash} on it.
     *
     * Documentation for signature generation:
     * - with https://web3js.readthedocs.io/en/v1.3.4/web3-eth-accounts.html#sign[Web3.js]
     * - with https://docs.ethers.io/v5/api/signer/#Signer-signMessage[ethers]
     *
     * _Available since v4.3._
     */
    function tryRecover(bytes32 hash, bytes memory signature) internal pure returns (address, RecoverError) {
        if (signature.length == 65) {
            bytes32 r;
            bytes32 s;
            uint8 v;
            // ecrecover takes the signature parameters, and the only way to get them
            // currently is to use assembly.
            /// @solidity memory-safe-assembly
            assembly {
                r := mload(add(signature, 0x20))
                s := mload(add(signature, 0x40))
                v := byte(0, mload(add(signature, 0x60)))
            }
            return tryRecover(hash, v, r, s);
        } else {
            return (address(0), RecoverError.InvalidSignatureLength);
        }
    }

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

    /**
     * @dev Overload of {ECDSA-tryRecover} that receives the `r` and `vs` short-signature fields separately.
     *
     * See https://eips.ethereum.org/EIPS/eip-2098[EIP-2098 short signatures]
     *
     * _Available since v4.3._
     */
    function tryRecover(
        bytes32 hash,
        bytes32 r,
        bytes32 vs
    ) internal pure returns (address, RecoverError) {
        bytes32 s = vs & bytes32(0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff);
        uint8 v = uint8((uint256(vs) >> 255) + 27);
        return tryRecover(hash, v, r, s);
    }

    /**
     * @dev Overload of {ECDSA-recover} that receives the `r and `vs` short-signature fields separately.
     *
     * _Available since v4.2._
     */
    function recover(
        bytes32 hash,
        bytes32 r,
        bytes32 vs
    ) internal pure returns (address) {
        (address recovered, RecoverError error) = tryRecover(hash, r, vs);
        _throwError(error);
        return recovered;
    }

    /**
     * @dev Overload of {ECDSA-tryRecover} that receives the `v`,
     * `r` and `s` signature fields separately.
     *
     * _Available since v4.3._
     */
    function tryRecover(
        bytes32 hash,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) internal pure returns (address, RecoverError) {
        // EIP-2 still allows signature malleability for ecrecover(). Remove this possibility and make the signature
        // unique. Appendix F in the Ethereum Yellow paper (https://ethereum.github.io/yellowpaper/paper.pdf), defines
        // the valid range for s in (301): 0 < s < secp256k1n ÷ 2 + 1, and for v in (302): v ∈ {27, 28}. Most
        // signatures from current libraries generate a unique signature with an s-value in the lower half order.
        //
        // If your library generates malleable signatures, such as s-values in the upper range, calculate a new s-value
        // with 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141 - s1 and flip v from 27 to 28 or
        // vice versa. If your library also generates signatures with 0/1 for v instead 27/28, add 27 to v to accept
        // these malleable signatures as well.
        if (uint256(s) > 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF5D576E7357A4501DDFE92F46681B20A0) {
            return (address(0), RecoverError.InvalidSignatureS);
        }

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

        return (signer, RecoverError.NoError);
    }

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

    /**
     * @dev Returns an Ethereum Signed Message, created from a `hash`. This
     * produces hash corresponding to the one signed with the
     * https://eth.wiki/json-rpc/API#eth_sign[`eth_sign`]
     * JSON-RPC method as part of EIP-191.
     *
     * See {recover}.
     */
    function toEthSignedMessageHash(bytes32 hash) internal pure returns (bytes32) {
        // 32 is the length in bytes of hash,
        // enforced by the type signature above
        return keccak256(abi.encodePacked("\x19Ethereum Signed Message:\n32", hash));
    }

    /**
     * @dev Returns an Ethereum Signed Message, created from `s`. This
     * produces hash corresponding to the one signed with the
     * https://eth.wiki/json-rpc/API#eth_sign[`eth_sign`]
     * JSON-RPC method as part of EIP-191.
     *
     * See {recover}.
     */
    function toEthSignedMessageHash(bytes memory s) internal pure returns (bytes32) {
        return keccak256(abi.encodePacked("\x19Ethereum Signed Message:\n", Strings.toString(s.length), s));
    }

    /**
     * @dev Returns an Ethereum Signed Typed Data, created from a
     * `domainSeparator` and a `structHash`. This produces hash corresponding
     * to the one signed with the
     * https://eips.ethereum.org/EIPS/eip-712[`eth_signTypedData`]
     * JSON-RPC method as part of EIP-712.
     *
     * See {recover}.
     */
    function toTypedDataHash(bytes32 domainSeparator, bytes32 structHash) internal pure returns (bytes32) {
        return keccak256(abi.encodePacked("\x19\x01", domainSeparator, structHash));
    }
}

// File: lib/openzeppelin-contracts/contracts/utils/introspection/IERC165.sol



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

pragma solidity ^0.8.0;

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

// File: lib/openzeppelin-contracts/contracts/utils/math/Math.sol



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

pragma solidity ^0.8.0;

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

// File: src/interfaces/IAlligator.sol



// SPDX-License-Identifier: UNLICENSED
pragma solidity ^0.8.13;

import "../structs/Rules.sol";

interface IAlligator {
    // =============================================================
    //                             EVENTS
    // =============================================================

    event ProxyDeployed(address indexed owner, address proxy);
    event SubDelegation(address indexed from, address indexed to, Rules rules);
    event SubDelegations(address indexed from, address[] to, Rules[] rules);
    event VoteCast(
        address indexed proxy,
        address indexed voter,
        address[] authority,
        uint256 proposalId,
        uint8 support
    );
    event VotesCast(
        address[] proxies,
        address indexed voter,
        address[][] authorities,
        uint256 proposalId,
        uint8 support
    );
    event Signed(address indexed proxy, address[] authority, bytes32 messageHash);

    // =============================================================
    //                       WRITE FUNCTIONS
    // =============================================================

    function create(address owner, bool registerEnsName) external returns (address endpoint);

    function registerProxyDeployment(address owner) external;

    function propose(
        address[] calldata authority,
        address[] calldata targets,
        uint256[] calldata values,
        string[] calldata signatures,
        bytes[] calldata calldatas,
        string calldata description
    ) external returns (uint256 proposalId);

    function castVote(address[] calldata authority, uint256 proposalId, uint8 support) external;

    function castVoteWithReason(
        address[] calldata authority,
        uint256 proposalId,
        uint8 support,
        string calldata reason
    ) external;

    function castVotesWithReasonBatched(
        address[][] calldata authorities,
        uint256 proposalId,
        uint8 support,
        string calldata reason
    ) external;

    function castRefundableVotesWithReasonBatched(
        address[][] calldata authorities,
        uint256 proposalId,
        uint8 support,
        string calldata reason
    ) external;

    function castVoteBySig(
        address[] calldata authority,
        uint256 proposalId,
        uint8 support,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) external;

    function sign(address[] calldata authority, bytes32 hash) external;

    function subDelegate(address to, Rules calldata rules, bool createProxy) external;

    function subDelegateBatched(address[] calldata targets, Rules[] calldata rules, bool createProxy) external;

    function _togglePause() external;

    // // =============================================================
    // //                         VIEW FUNCTIONS
    // // =============================================================

    function validate(
        address sender,
        address[] memory authority,
        uint256 permissions,
        uint256 proposalId,
        uint256 support
    ) external view;

    function isValidProxySignature(
        address proxy,
        bytes32 hash,
        bytes calldata data
    ) external view returns (bytes4 magicValue);

    function proxyAddress(address owner) external view returns (address endpoint);
}

// File: src/interfaces/IENSReverseRegistrar.sol



// SPDX-License-Identifier: UNLICENSED
pragma solidity ^0.8.13;

interface IENSReverseRegistrar {
    function setName(string memory name) external returns (bytes32 node);
}

// File: src/interfaces/IGovernorBravo.sol



// SPDX-License-Identifier: UNLICENSED
pragma solidity ^0.8.13;

interface IGovernorBravo {
    function quorumVotes() external view returns (uint256);

    function votingDelay() external view returns (uint256);

    function votingPeriod() external view returns (uint256);

    function propose(
        address[] memory targets,
        uint256[] memory values,
        string[] memory signatures,
        bytes[] memory calldatas,
        string memory description
    ) external returns (uint256);

    function castVote(uint256 proposalId, uint8 support) external;

    function castVoteWithReason(uint256 proposalId, uint8 support, string calldata reason) external;

    function castVoteBySig(uint256 proposalId, uint8 support, uint8 v, bytes32 r, bytes32 s) external;

    function queue(uint256 proposalId) external;

    function execute(uint256 proposalId) external;

    function getActions(
        uint256 proposalId
    )
        external
        view
        returns (
            address[] memory targets,
            uint256[] memory values,
            string[] memory signatures,
            bytes[] memory calldatas
        );
}

// File: src/interfaces/INounsDAOV2.sol



// SPDX-License-Identifier: UNLICENSED
pragma solidity ^0.8.13;

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

// IGovernorBravo extended with castRefundableVote logic and custom ProposalCondensed struct
interface INounsDAOV2 is IGovernorBravo {
    struct ProposalCondensed {
        /// @notice Unique id for looking up a proposal
        uint256 id;
        /// @notice Creator of the proposal
        address proposer;
        /// @notice The number of votes needed to create a proposal at the time of proposal creation. *DIFFERS from GovernerBravo
        uint256 proposalThreshold;
        /// @notice The minimum number of votes in support of a proposal required in order for a quorum to be reached and for a vote to succeed at the time of proposal creation. *DIFFERS from GovernerBravo
        uint256 quorumVotes;
        /// @notice The timestamp that the proposal will be available for execution, set once the vote succeeds
        uint256 eta;
        /// @notice The block at which voting begins: holders must delegate their votes prior to this block
        uint256 startBlock;
        /// @notice The block at which voting ends: votes must be cast prior to this block
        uint256 endBlock;
        /// @notice Current number of votes in favor of this proposal
        uint256 forVotes;
        /// @notice Current number of votes in opposition to this proposal
        uint256 againstVotes;
        /// @notice Current number of votes for abstaining for this proposal
        uint256 abstainVotes;
        /// @notice Flag marking whether the proposal has been canceled
        bool canceled;
        /// @notice Flag marking whether the proposal has been vetoed
        bool vetoed;
        /// @notice Flag marking whether the proposal has been executed
        bool executed;
        /// @notice The total supply at the time of proposal creation
        uint256 totalSupply;
        /// @notice The block at which this proposal was created
        uint256 creationBlock;
    }

    function proposals(uint256 proposalId) external view returns (ProposalCondensed memory);

    function castRefundableVote(uint256 proposalId, uint8 support) external;

    function castRefundableVoteWithReason(uint256 proposalId, uint8 support, string calldata reason) external;
}

// File: src/interfaces/IRule.sol



// SPDX-License-Identifier: UNLICENSED
pragma solidity ^0.8.13;

interface IRule {
    /**
     * @notice A custom rule that validates that the voter can cast a vote or propose a proposal
     * @param governor The address of the GovernorBravo contract
     * @param voter The final delegatee that's casting the vote
     * @param proposalId The id of the proposal to vote on
     * @param support The support value for the vote. 0=against, 1=for, 2=abstain, 0xff=propose
     * @return IRule.validate.selector
     */
    function validate(
        address governor,
        address voter,
        uint256 proposalId,
        uint8 support
    ) external view returns (bytes4);
}

// File: src/structs/Rules.sol



// SPDX-License-Identifier: UNLICENSED
pragma solidity ^0.8.13;

struct Rules {
    uint8 permissions;
    uint8 maxRedelegations;
    uint32 notValidBefore;
    uint32 notValidAfter;
    uint16 blocksBeforeVoteCloses;
    address customRule;
}

// File: src/utils/ENSHelper.sol



// SPDX-License-Identifier: UNLICENSED
pragma solidity ^0.8.13;

import {Strings} from "@openzeppelin/contracts/utils/Strings.sol";
import {IERC165} from "@openzeppelin/contracts/utils/introspection/IERC165.sol";
import {IAddrResolver} from "ens-contracts/resolvers/profiles/IAddrResolver.sol";
import {ENS} from "ens-contracts/registry/ENS.sol";

contract ENSHelper is IERC165, IAddrResolver {
    error AlreadyRegistered();

    string public ensName;
    bytes32 internal immutable ensNameHash;
    uint256 internal numberOfProxiesDeployed;
    mapping(bytes32 => address) public nodehashToAddress;
    mapping(address => bool) public registeredProxyAddresses;

    constructor(string memory _ensName, bytes32 _ensNameHash) {
        ensNameHash = _ensNameHash;
        ensName = _ensName;
    }

    function registerDeployment(address _addr) internal returns (string memory reverseENSName) {
        if (registeredProxyAddresses[_addr]) {
            revert AlreadyRegistered();
        }

        /// @dev Cannot overflow uint256 counter by incrementing 1 at a time
        unchecked {
            ++numberOfProxiesDeployed;
        }

        string memory subdomain = Strings.toString(numberOfProxiesDeployed);
        reverseENSName = string.concat(subdomain, ".", ensName);

        bytes32 label = keccak256(abi.encodePacked(subdomain));
        bytes32 namehash = keccak256(abi.encodePacked(ensNameHash, label));
        nodehashToAddress[namehash] = _addr;
        registeredProxyAddresses[_addr] = true;

        ENS(0x00000000000C2E074eC69A0dFb2997BA6C7d2e1e).setSubnodeRecord(
            ensNameHash,
            label,
            address(this),
            address(this),
            0
        );
    }

    function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
        return interfaceId == type(IAddrResolver).interfaceId || interfaceId == type(IERC165).interfaceId;
    }

    function addr(bytes32 node) public view virtual override returns (address payable) {
        return payable(nodehashToAddress[node]);
    }
}

// File: src/v1/Alligator.sol



// SPDX-License-Identifier: UNLICENSED
pragma solidity ^0.8.13;

import {Proxy} from "./Proxy.sol";
import {ENSHelper} from "../utils/ENSHelper.sol";
import {INounsDAOV2} from "../interfaces/INounsDAOV2.sol";
import {IRule} from "../interfaces/IRule.sol";
import "../interfaces/IAlligator.sol";
import {ECDSA} from "@openzeppelin/contracts/utils/cryptography/ECDSA.sol";
import {IERC1271} from "@openzeppelin/contracts/interfaces/IERC1271.sol";
import {Ownable} from "@openzeppelin/contracts/access/Ownable.sol";
import {Pausable} from "@openzeppelin/contracts/security/Pausable.sol";

contract Alligator is IAlligator, ENSHelper, Ownable, Pausable {
    // =============================================================
    //                             ERRORS
    // =============================================================

    error BadSignature();
    error InvalidAuthorityChain();
    error NotDelegated(address from, address to, uint256 requiredPermissions);
    error TooManyRedelegations(address from, address to);
    error NotValidYet(address from, address to, uint256 willBeValidFrom);
    error NotValidAnymore(address from, address to, uint256 wasValidUntil);
    error TooEarly(address from, address to, uint256 blocksBeforeVoteCloses);
    error InvalidCustomRule(address from, address to, address customRule);

    // =============================================================
    //                       IMMUTABLE STORAGE
    // =============================================================

    INounsDAOV2 public immutable governor;

    uint256 internal constant PERMISSION_VOTE = 1;
    uint256 internal constant PERMISSION_SIGN = 1 << 1;
    uint256 internal constant PERMISSION_PROPOSE = 1 << 2;

    bytes32 internal constant DOMAIN_TYPEHASH =
        keccak256("EIP712Domain(string name,uint256 chainId,address verifyingContract)");

    bytes32 internal constant BALLOT_TYPEHASH = keccak256("Ballot(uint256 proposalId,uint8 support)");

    // =============================================================
    //                        MUTABLE STORAGE
    // =============================================================

    // From => To => Rules
    mapping(address => mapping(address => Rules)) public subDelegations;
    // Proxy address => hash => valid boolean
    mapping(address => mapping(bytes32 => bool)) internal validSignatures;

    // =============================================================
    //                         CONSTRUCTOR
    // =============================================================

    constructor(INounsDAOV2 _governor, string memory _ensName, bytes32 _ensNameHash) ENSHelper(_ensName, _ensNameHash) {
        governor = _governor;
    }

    // =============================================================
    //                       WRITE FUNCTIONS
    // =============================================================

    /**
     * @notice Deploy a new Proxy for an owner deterministically.
     *
     * @param owner The owner of the Proxy.
     * @param registerEnsName Whether to register the ENS name for the Proxy.
     *
     * @return endpoint Address of the Proxy
     */
    function create(address owner, bool registerEnsName) public returns (address endpoint) {
        endpoint = address(new Proxy{salt: bytes32(uint256(uint160(owner)))}(address(governor)));
        emit ProxyDeployed(owner, endpoint);

        if (registerEnsName) {
            if (ensNameHash != 0) {
                string memory reverseName = registerDeployment(endpoint);
                Proxy(payable(endpoint)).setENSReverseRecord(reverseName);
            }
        }
    }

    /**
     * @notice Register ENS name for an already deployed Proxy.
     *
     * @param owner The owner of the Proxy.
     *
     * @dev Reverts if the ENS name is already set.
     */
    function registerProxyDeployment(address owner) public {
        if (ensNameHash != 0) {
            address proxy = proxyAddress(owner);
            string memory reverseName = registerDeployment(proxy);
            Proxy(payable(proxy)).setENSReverseRecord(reverseName);
        }
    }

    /**
     * @notice Validate subdelegation rules and make a proposal to the governor.
     *
     * @param authority The authority chain to validate against.
     * @param targets Target addresses for proposal calls
     * @param values Eth values for proposal calls
     * @param signatures Function signatures for proposal calls
     * @param calldatas Calldatas for proposal calls
     * @param description String description of the proposal
     *
     * @return proposalId Proposal id of new proposal
     */
    function propose(
        address[] calldata authority,
        address[] calldata targets,
        uint256[] calldata values,
        string[] calldata signatures,
        bytes[] calldata calldatas,
        string calldata description
    ) external whenNotPaused returns (uint256 proposalId) {
        address proxy = proxyAddress(authority[0]);
        // Create a proposal first so the custom rules can validate it
        proposalId = INounsDAOV2(proxy).propose(targets, values, signatures, calldatas, description);
        validate(msg.sender, authority, PERMISSION_PROPOSE, proposalId, 0xFF);
    }

    /**
     * @notice Validate subdelegation rules and cast a vote on the governor.
     *
     * @param authority The authority chain to validate against.
     * @param proposalId The id of the proposal to vote on
     * @param support The support value for the vote. 0=against, 1=for, 2=abstain
     */
    function castVote(address[] calldata authority, uint256 proposalId, uint8 support) external whenNotPaused {
        validate(msg.sender, authority, PERMISSION_VOTE, proposalId, support);

        address proxy = proxyAddress(authority[0]);
        INounsDAOV2(proxy).castVote(proposalId, support);
        emit VoteCast(proxy, msg.sender, authority, proposalId, support);
    }

    /**
     * @notice Validate subdelegation rules and cast a vote with reason on the governor.
     *
     * @param authority The authority chain to validate against.
     * @param proposalId The id of the proposal to vote on
     * @param support The support value for the vote. 0=against, 1=for, 2=abstain
     * @param reason The reason given for the vote by the voter
     */
    function castVoteWithReason(
        address[] calldata authority,
        uint256 proposalId,
        uint8 support,
        string calldata reason
    ) public whenNotPaused {
        validate(msg.sender, authority, PERMISSION_VOTE, proposalId, support);

        address proxy = proxyAddress(authority[0]);
        INounsDAOV2(proxy).castVoteWithReason(proposalId, support, reason);
        emit VoteCast(proxy, msg.sender, authority, proposalId, support);
    }

    /**
     * @notice Validate subdelegation rules and cast multiple votes with reason on the governor.
     *
     * @param authorities The authority chains to validate against.
     * @param proposalId The id of the proposal to vote on
     * @param support The support value for the vote. 0=against, 1=for, 2=abstain
     * @param reason The reason given for the vote by the voter
     */
    function castVotesWithReasonBatched(
        address[][] calldata authorities,
        uint256 proposalId,
        uint8 support,
        string calldata reason
    ) public whenNotPaused {
        uint256 authorityLength = authorities.length;
        address[] memory proxies = new address[](authorityLength);
        address[] memory authority;

        for (uint256 i; i < authorityLength; ) {
            authority = authorities[i];
            validate(msg.sender, authority, PERMISSION_VOTE, proposalId, support);
            proxies[i] = proxyAddress(authority[0]);
            INounsDAOV2(proxies[i]).castVoteWithReason(proposalId, support, reason);

            unchecked {
                ++i;
            }
        }

        emit VotesCast(proxies, msg.sender, authorities, proposalId, support);
    }

    /**
     * @notice Validate subdelegation rules and cast multiple refundable votes with reason on the governor.
     * Refunds the gas used to cast the votes up to a limit specified in `governor`.
     *
     * Note: The gas used will not be refunded for authority chains resulting in 0 votes cast.
     *
     * @param authorities The authority chains to validate against.
     * @param proposalId The id of the proposal to vote on
     * @param support The support value for the vote. 0=against, 1=for, 2=abstain
     * @param reason The reason given for the vote by the voter
     */
    function castRefundableVotesWithReasonBatched(
        address[][] calldata authorities,
        uint256 proposalId,
        uint8 support,
        string calldata reason
    ) external whenNotPaused {
        uint256 authorityLength = authorities.length;
        address[] memory proxies = new address[](authorityLength);
        address[] memory authority;

        for (uint256 i; i < authorityLength; ) {
            authority = authorities[i];
            validate(msg.sender, authority, PERMISSION_VOTE, proposalId, support);
            proxies[i] = proxyAddress(authority[0]);
            INounsDAOV2(proxies[i]).castRefundableVoteWithReason(proposalId, support, reason);

            unchecked {
                ++i;
            }
        }

        emit VotesCast(proxies, msg.sender, authorities, proposalId, support);
    }

    /**
     * @notice Validate subdelegation rules and cast a vote by signature on the governor.
     *
     * @param authority The authority chain to validate against.
     * @param proposalId The id of the proposal to vote on
     * @param support The support value for the vote. 0=against, 1=for, 2=abstain
     */
    function castVoteBySig(
        address[] calldata authority,
        uint256 proposalId,
        uint8 support,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) external whenNotPaused {
        bytes32 domainSeparator = keccak256(
            abi.encode(DOMAIN_TYPEHASH, keccak256("Alligator"), block.chainid, address(this))
        );
        bytes32 structHash = keccak256(abi.encode(BALLOT_TYPEHASH, proposalId, support));
        bytes32 digest = keccak256(abi.encodePacked("\x19\x01", domainSeparator, structHash));
        address signatory = ecrecover(digest, v, r, s);

        if (signatory == address(0)) {
            revert BadSignature();
        }

        validate(signatory, authority, PERMISSION_VOTE, proposalId, support);

        address proxy = proxyAddress(authority[0]);
        INounsDAOV2(proxy).castVote(proposalId, support);
        emit VoteCast(proxy, signatory, authority, proposalId, support);
    }

    /**
     * @notice Validate subdelegation rules and sign a hash.
     *
     * @param authority The authority chain to validate against.
     * @param hash The hash to sign.
     */
    function sign(address[] calldata authority, bytes32 hash) external whenNotPaused {
        validate(msg.sender, authority, PERMISSION_SIGN, 0, 0xFE);

        address proxy = proxyAddress(authority[0]);
        validSignatures[proxy][hash] = true;
        emit Signed(proxy, authority, hash);
    }

    /**
     * @notice Subdelegate an address with rules.
     *
     * @param to The address to subdelegate to.
     * @param rules The rules to apply to the subdelegation.
     * @param createProxy Whether to create a Proxy for the sender, if one doesn't exist.
     */
    function subDelegate(address to, Rules calldata rules, bool createProxy) external {
        if (createProxy) {
            if (proxyAddress(msg.sender).code.length == 0) {
                create(msg.sender, false);
            }
        }

        subDelegations[msg.sender][to] = rules;
        emit SubDelegation(msg.sender, to, rules);
    }

    /**
     * @notice Subdelegate multiple addresses with rules.
     *
     * @param targets The addresses to subdelegate to.
     * @param rules The rules to apply to the subdelegations.
     * @param createProxy Whether to create a Proxy for the sender, if one doesn't exist.
     */
    function subDelegateBatched(address[] calldata targets, Rules[] calldata rules, bool createProxy) external {
        uint256 targetsLength = targets.length;
        require(targetsLength == rules.length);

        if (createProxy) {
            if (proxyAddress(msg.sender).code.length == 0) {
                create(msg.sender, false);
            }
        }

        for (uint256 i; i < targetsLength; ) {
            subDelegations[msg.sender][targets[i]] = rules[i];

            unchecked {
                ++i;
            }
        }

        emit SubDelegations(msg.sender, targets, rules);
    }

    /**
     * @notice Pauses and unpauses propose, vote and sign operations.
     *
     * @dev Only contract owner can toggle pause.
     */
    function _togglePause() external onlyOwner {
        if (!paused()) {
            _pause();
        } else {
            _unpause();
        }
    }

    // =============================================================
    //                         VIEW FUNCTIONS
    // =============================================================

    /**
     * @notice Validate subdelegation rules.
     *
     * @param sender The sender address to validate.
     * @param authority The authority chain to validate against.
     * @param permissions The permissions to validate.
     * @param proposalId The id of the proposal for which validation is being performed.
     * @param support The support value for the vote. 0=against, 1=for, 2=abstain, 0xFF=proposal
     */
    function validate(
        address sender,
        address[] memory authority,
        uint256 permissions,
        uint256 proposalId,
        uint256 support
    ) public view {
        address from = authority[0];

        if (from == sender) {
            return;
        }

        uint256 authorityLength = authority.length;
        address to;
        Rules memory rules;

        /// @dev maxRedelegations would hit block size limit before overflowing
        /// @dev block.number + rules.blocksBeforeVoteCloses fits in uint256
        unchecked {
            for (uint256 i = 1; i < authorityLength; ++i) {
                to = authority[i];
                rules = subDelegations[from][to];

                if ((rules.permissions & permissions) != permissions) {
                    revert NotDelegated(from, to, permissions);
                }
                if (rules.maxRedelegations + i + 1 < authorityLength) {
                    revert TooManyRedelegations(from, to);
                }
                if (block.timestamp < rules.notValidBefore) {
                    revert NotValidYet(from, to, rules.notValidBefore);
                }
                if (rules.notValidAfter != 0) {
                    if (block.timestamp > rules.notValidAfter) revert NotValidAnymore(from, to, rules.notValidAfter);
                }
                if (rules.blocksBeforeVoteCloses != 0) {
                    INounsDAOV2.ProposalCondensed memory proposal = governor.proposals(proposalId);
                    if (proposal.endBlock > block.number + rules.blocksBeforeVoteCloses) {
                        revert TooEarly(from, to, rules.blocksBeforeVoteCloses);
                    }
                }
                if (rules.customRule != address(0)) {
                    if (
                        IRule(rules.customRule).validate(address(governor), sender, proposalId, uint8(support)) !=
                        IRule.validate.selector
                    ) {
                        revert InvalidCustomRule(from, to, rules.customRule);
                    }
                }

                from = to;
            }
        }

        if (from != sender) revert NotDelegated(from, sender, permissions);
    }

    /**
     * @notice Checks if proxy signature is valid.
     *
     * @param proxy The address of the proxy contract.
     * @param hash The hash to validate.
     * @param data The data to validate.
     *
     * @return magicValue `IERC1271.isValidSignature` if signature is valid, or 0 if not.
     */
    function isValidProxySignature(
        address proxy,
        bytes32 hash,
        bytes calldata data
    ) public view returns (bytes4 magicValue) {
        if (data.length > 0) {
            (address[] memory authority, bytes memory signature) = abi.decode(data, (address[], bytes));
            if (proxy != proxyAddress(authority[0])) revert InvalidAuthorityChain();
            address signer = ECDSA.recover(hash, signature);
            validate(signer, authority, PERMISSION_SIGN, 0, 0xFE);
            return IERC1271.isValidSignature.selector;
        }
        return validSignatures[proxy][hash] ? IERC1271.isValidSignature.selector : bytes4(0);
    }

    /**
     * @notice Returns the address of the proxy contract for a given owner
     *
     * @param owner The owner of the Proxy.
     *
     * @return endpoint The address of the Proxy.
     */
    function proxyAddress(address owner) public view returns (address endpoint) {
        endpoint = address(
            uint160(
                uint256(
                    keccak256(
                        abi.encodePacked(
                            bytes1(0xff),
                            address(this),
                            bytes32(uint256(uint160(owner))), // salt
                            keccak256(abi.encodePacked(type(Proxy).creationCode, abi.encode(address(governor))))
                        )
                    )
                )
            )
        );
    }
}

// File: src/v1/Proxy.sol



// SPDX-License-Identifier: UNLICENSED
pragma solidity ^0.8.13;

import {IAlligator} from "../interfaces/IAlligator.sol";
import {IENSReverseRegistrar} from "../interfaces/IENSReverseRegistrar.sol";
import {IERC1271} from "@openzeppelin/contracts/interfaces/IERC1271.sol";

contract Proxy is IERC1271 {
    address internal immutable alligator;
    address internal immutable governor;

    constructor(address _governor) {
        alligator = msg.sender;
        governor = _governor;
    }

    function isValidSignature(bytes32 hash, bytes calldata signature) external view override returns (bytes4) {
        return IAlligator(alligator).isValidProxySignature(address(this), hash, signature);
    }

    function setENSReverseRecord(string calldata name) external {
        require(msg.sender == alligator);
        IENSReverseRegistrar(0x084b1c3C81545d370f3634392De611CaaBFf8148).setName(name);
    }

    fallback() external payable {
        require(msg.sender == alligator);
        address addr = governor;

        assembly {
            calldatacopy(0, 0, calldatasize())
            let result := call(gas(), addr, callvalue(), 0, calldatasize(), 0, 0)
            returndatacopy(0, 0, returndatasize())
            switch result
            case 0 {
                revert(0, returndatasize())
            }
            default {
                return(0, returndatasize())
            }
        }
    }

    // If funds are received from the governor, send them back to the caller.
    receive() external payable {
        require(msg.sender == governor);
        (bool success, ) = payable(tx.origin).call{value: msg.value}("");
        require(success);
    }
}