// SPDX-License-Identifier: MIT

// Sources flattened with hardhat v2.9.3 https://hardhat.org

// File @openzeppelin/contracts/utils/introspection/IERC165.sol@v4.8.2


// 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 @openzeppelin/contracts/token/ERC721/IERC721.sol@v4.8.2


// OpenZeppelin Contracts (last updated v4.8.0) (token/ERC721/IERC721.sol)

pragma solidity ^0.8.0;

/**
 * @dev Required interface of an ERC721 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 ERC721 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 ERC721
     * 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 caller.
     *
     * 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);
}


// File @openzeppelin/contracts/token/ERC721/IERC721Receiver.sol@v4.8.2


// OpenZeppelin Contracts (last updated v4.6.0) (token/ERC721/IERC721Receiver.sol)

pragma solidity ^0.8.0;

/**
 * @title ERC721 token receiver interface
 * @dev Interface for any contract that wants to support safeTransfers
 * from ERC721 asset contracts.
 */
interface IERC721Receiver {
    /**
     * @dev Whenever an {IERC721} `tokenId` token is transferred to this contract via {IERC721-safeTransferFrom}
     * by `operator` from `from`, this function is called.
     *
     * It must return its Solidity selector to confirm the token transfer.
     * If any other value is returned or the interface is not implemented by the recipient, the transfer will be reverted.
     *
     * The selector can be obtained in Solidity with `IERC721Receiver.onERC721Received.selector`.
     */
    function onERC721Received(
        address operator,
        address from,
        uint256 tokenId,
        bytes calldata data
    ) external returns (bytes4);
}


// File @openzeppelin/contracts/token/ERC721/extensions/IERC721Metadata.sol@v4.8.2


// OpenZeppelin Contracts v4.4.1 (token/ERC721/extensions/IERC721Metadata.sol)

pragma solidity ^0.8.0;

/**
 * @title ERC-721 Non-Fungible Token Standard, optional metadata extension
 * @dev See https://eips.ethereum.org/EIPS/eip-721
 */
interface IERC721Metadata is IERC721 {
    /**
     * @dev Returns the token collection name.
     */
    function name() external view returns (string memory);

    /**
     * @dev Returns the token collection symbol.
     */
    function symbol() external view returns (string memory);

    /**
     * @dev Returns the Uniform Resource Identifier (URI) for `tokenId` token.
     */
    function tokenURI(uint256 tokenId) external view returns (string memory);
}


// File @openzeppelin/contracts/utils/Address.sol@v4.8.2


// OpenZeppelin Contracts (last updated v4.8.0) (utils/Address.sol)

pragma solidity ^0.8.1;

/**
 * @dev Collection of functions related to the address type
 */
library Address {
    /**
     * @dev Returns true if `account` is a contract.
     *
     * [IMPORTANT]
     * ====
     * It is unsafe to assume that an address for which this function returns
     * false is an externally-owned account (EOA) and not a contract.
     *
     * Among others, `isContract` will return false for the following
     * types of addresses:
     *
     *  - an externally-owned account
     *  - a contract in construction
     *  - an address where a contract will be created
     *  - an address where a contract lived, but was destroyed
     * ====
     *
     * [IMPORTANT]
     * ====
     * You shouldn't rely on `isContract` to protect against flash loan attacks!
     *
     * Preventing calls from contracts is highly discouraged. It breaks composability, breaks support for smart wallets
     * like Gnosis Safe, and does not provide security since it can be circumvented by calling from a contract
     * constructor.
     * ====
     */
    function isContract(address account) internal view returns (bool) {
        // This method relies on extcodesize/address.code.length, which returns 0
        // for contracts in construction, since the code is only stored at the end
        // of the constructor execution.

        return account.code.length > 0;
    }

    /**
     * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
     * `recipient`, forwarding all available gas and reverting on errors.
     *
     * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
     * of certain opcodes, possibly making contracts go over the 2300 gas limit
     * imposed by `transfer`, making them unable to receive funds via
     * `transfer`. {sendValue} removes this limitation.
     *
     * https://diligence.consensys.net/posts/2019/09/stop-using-soliditys-transfer-now/[Learn more].
     *
     * IMPORTANT: because control is transferred to `recipient`, care must be
     * taken to not create reentrancy vulnerabilities. Consider using
     * {ReentrancyGuard} or the
     * https://solidity.readthedocs.io/en/v0.5.11/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
     */
    function sendValue(address payable recipient, uint256 amount) internal {
        require(address(this).balance >= amount, "Address: insufficient balance");

        (bool success, ) = recipient.call{value: amount}("");
        require(success, "Address: unable to send value, recipient may have reverted");
    }

    /**
     * @dev Performs a Solidity function call using a low level `call`. A
     * plain `call` is an unsafe replacement for a function call: use this
     * function instead.
     *
     * If `target` reverts with a revert reason, it is bubbled up by this
     * function (like regular Solidity function calls).
     *
     * Returns the raw returned data. To convert to the expected return value,
     * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
     *
     * Requirements:
     *
     * - `target` must be a contract.
     * - calling `target` with `data` must not revert.
     *
     * _Available since v3.1._
     */
    function functionCall(address target, bytes memory data) internal returns (bytes memory) {
        return functionCallWithValue(target, data, 0, "Address: low-level call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with
     * `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal returns (bytes memory) {
        return functionCallWithValue(target, data, 0, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but also transferring `value` wei to `target`.
     *
     * Requirements:
     *
     * - the calling contract must have an ETH balance of at least `value`.
     * - the called Solidity function must be `payable`.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(
        address target,
        bytes memory data,
        uint256 value
    ) internal returns (bytes memory) {
        return functionCallWithValue(target, data, value, "Address: low-level call with value failed");
    }

    /**
     * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but
     * with `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(
        address target,
        bytes memory data,
        uint256 value,
        string memory errorMessage
    ) internal returns (bytes memory) {
        require(address(this).balance >= value, "Address: insufficient balance for call");
        (bool success, bytes memory returndata) = target.call{value: value}(data);
        return verifyCallResultFromTarget(target, success, returndata, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
        return functionStaticCall(target, data, "Address: low-level static call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal view returns (bytes memory) {
        (bool success, bytes memory returndata) = target.staticcall(data);
        return verifyCallResultFromTarget(target, success, returndata, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but performing a delegate call.
     *
     * _Available since v3.4._
     */
    function functionDelegateCall(address target, bytes memory data) internal returns (bytes memory) {
        return functionDelegateCall(target, data, "Address: low-level delegate call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a delegate call.
     *
     * _Available since v3.4._
     */
    function functionDelegateCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal returns (bytes memory) {
        (bool success, bytes memory returndata) = target.delegatecall(data);
        return verifyCallResultFromTarget(target, success, returndata, errorMessage);
    }

    /**
     * @dev Tool to verify that a low level call to smart-contract was successful, and revert (either by bubbling
     * the revert reason or using the provided one) in case of unsuccessful call or if target was not a contract.
     *
     * _Available since v4.8._
     */
    function verifyCallResultFromTarget(
        address target,
        bool success,
        bytes memory returndata,
        string memory errorMessage
    ) internal view returns (bytes memory) {
        if (success) {
            if (returndata.length == 0) {
                // only check isContract if the call was successful and the return data is empty
                // otherwise we already know that it was a contract
                require(isContract(target), "Address: call to non-contract");
            }
            return returndata;
        } else {
            _revert(returndata, errorMessage);
        }
    }

    /**
     * @dev Tool to verify that a low level call was successful, and revert if it wasn't, either by bubbling the
     * revert reason or using the provided one.
     *
     * _Available since v4.3._
     */
    function verifyCallResult(
        bool success,
        bytes memory returndata,
        string memory errorMessage
    ) internal pure returns (bytes memory) {
        if (success) {
            return returndata;
        } else {
            _revert(returndata, errorMessage);
        }
    }

    function _revert(bytes memory returndata, string memory errorMessage) private pure {
        // Look for revert reason and bubble it up if present
        if (returndata.length > 0) {
            // The easiest way to bubble the revert reason is using memory via assembly
            /// @solidity memory-safe-assembly
            assembly {
                let returndata_size := mload(returndata)
                revert(add(32, returndata), returndata_size)
            }
        } else {
            revert(errorMessage);
        }
    }
}


// File @openzeppelin/contracts/utils/Context.sol@v4.8.2


// 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 @openzeppelin/contracts/utils/math/Math.sol@v4.8.2


// 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)`
        // ΓåÆ `sqrt(2**k) <= sqrt(a) < sqrt(2**(k+1))`
        // ΓåÆ `2**(k/2) <= sqrt(a) < 2**((k+1)/2) <= 2**(k/2 + 1)`
        //
        // Consequently, `2**(log2(a) / 2)` is a good first approximation of `sqrt(a)` with at least 1 correct bit.
        uint256 result = 1 << (log2(a) >> 1);

        // At this point `result` is an estimation with one bit of precision. We know the true value is a uint128,
        // since it is the square root of a uint256. Newton's method converges quadratically (precision doubles at
        // every iteration). We thus need at most 7 iteration to turn our partial result with one bit of precision
        // into the expected uint128 result.
        unchecked {
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            return min(result, a / result);
        }
    }

    /**
     * @notice Calculates sqrt(a), following the selected rounding direction.
     */
    function sqrt(uint256 a, Rounding rounding) internal pure returns (uint256) {
        unchecked {
            uint256 result = sqrt(a);
            return result + (rounding == Rounding.Up && result * result < a ? 1 : 0);
        }
    }

    /**
     * @dev Return the log in base 2, rounded down, of a positive value.
     * Returns 0 if given 0.
     */
    function log2(uint256 value) internal pure returns (uint256) {
        uint256 result = 0;
        unchecked {
            if (value >> 128 > 0) {
                value >>= 128;
                result += 128;
            }
            if (value >> 64 > 0) {
                value >>= 64;
                result += 64;
            }
            if (value >> 32 > 0) {
                value >>= 32;
                result += 32;
            }
            if (value >> 16 > 0) {
                value >>= 16;
                result += 16;
            }
            if (value >> 8 > 0) {
                value >>= 8;
                result += 8;
            }
            if (value >> 4 > 0) {
                value >>= 4;
                result += 4;
            }
            if (value >> 2 > 0) {
                value >>= 2;
                result += 2;
            }
            if (value >> 1 > 0) {
                result += 1;
            }
        }
        return result;
    }

    /**
     * @dev Return the log in base 2, following the selected rounding direction, of a positive value.
     * Returns 0 if given 0.
     */
    function log2(uint256 value, Rounding rounding) internal pure returns (uint256) {
        unchecked {
            uint256 result = log2(value);
            return result + (rounding == Rounding.Up && 1 << result < value ? 1 : 0);
        }
    }

    /**
     * @dev Return the log in base 10, rounded down, of a positive value.
     * Returns 0 if given 0.
     */
    function log10(uint256 value) internal pure returns (uint256) {
        uint256 result = 0;
        unchecked {
            if (value >= 10**64) {
                value /= 10**64;
                result += 64;
            }
            if (value >= 10**32) {
                value /= 10**32;
                result += 32;
            }
            if (value >= 10**16) {
                value /= 10**16;
                result += 16;
            }
            if (value >= 10**8) {
                value /= 10**8;
                result += 8;
            }
            if (value >= 10**4) {
                value /= 10**4;
                result += 4;
            }
            if (value >= 10**2) {
                value /= 10**2;
                result += 2;
            }
            if (value >= 10**1) {
                result += 1;
            }
        }
        return result;
    }

    /**
     * @dev Return the log in base 10, following the selected rounding direction, of a positive value.
     * Returns 0 if given 0.
     */
    function log10(uint256 value, Rounding rounding) internal pure returns (uint256) {
        unchecked {
            uint256 result = log10(value);
            return result + (rounding == Rounding.Up && 10**result < value ? 1 : 0);
        }
    }

    /**
     * @dev Return the log in base 256, rounded down, of a positive value.
     * Returns 0 if given 0.
     *
     * Adding one to the result gives the number of pairs of hex symbols needed to represent `value` as a hex string.
     */
    function log256(uint256 value) internal pure returns (uint256) {
        uint256 result = 0;
        unchecked {
            if (value >> 128 > 0) {
                value >>= 128;
                result += 16;
            }
            if (value >> 64 > 0) {
                value >>= 64;
                result += 8;
            }
            if (value >> 32 > 0) {
                value >>= 32;
                result += 4;
            }
            if (value >> 16 > 0) {
                value >>= 16;
                result += 2;
            }
            if (value >> 8 > 0) {
                result += 1;
            }
        }
        return result;
    }

    /**
     * @dev Return the log in base 10, following the selected rounding direction, of a positive value.
     * Returns 0 if given 0.
     */
    function log256(uint256 value, Rounding rounding) internal pure returns (uint256) {
        unchecked {
            uint256 result = log256(value);
            return result + (rounding == Rounding.Up && 1 << (result * 8) < value ? 1 : 0);
        }
    }
}


// File @openzeppelin/contracts/utils/Strings.sol@v4.8.2


// OpenZeppelin Contracts (last updated v4.8.0) (utils/Strings.sol)

pragma solidity ^0.8.0;

/**
 * @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 @openzeppelin/contracts/utils/introspection/ERC165.sol@v4.8.2


// OpenZeppelin Contracts v4.4.1 (utils/introspection/ERC165.sol)

pragma solidity ^0.8.0;

/**
 * @dev Implementation of the {IERC165} interface.
 *
 * Contracts that want to implement ERC165 should inherit from this contract and override {supportsInterface} to check
 * for the additional interface id that will be supported. For example:
 *
 * ```solidity
 * function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
 *     return interfaceId == type(MyInterface).interfaceId || super.supportsInterface(interfaceId);
 * }
 * ```
 *
 * Alternatively, {ERC165Storage} provides an easier to use but more expensive implementation.
 */
abstract contract ERC165 is IERC165 {
    /**
     * @dev See {IERC165-supportsInterface}.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
        return interfaceId == type(IERC165).interfaceId;
    }
}


// File @openzeppelin/contracts/token/ERC721/ERC721.sol@v4.8.2


// OpenZeppelin Contracts (last updated v4.8.2) (token/ERC721/ERC721.sol)

pragma solidity ^0.8.0;







/**
 * @dev Implementation of https://eips.ethereum.org/EIPS/eip-721[ERC721] Non-Fungible Token Standard, including
 * the Metadata extension, but not including the Enumerable extension, which is available separately as
 * {ERC721Enumerable}.
 */
contract ERC721 is Context, ERC165, IERC721, IERC721Metadata {
    using Address for address;
    using Strings for uint256;

    // Token name
    string private _name;

    // Token symbol
    string private _symbol;

    // Mapping from token ID to owner address
    mapping(uint256 => address) private _owners;

    // Mapping owner address to token count
    mapping(address => uint256) private _balances;

    // Mapping from token ID to approved address
    mapping(uint256 => address) private _tokenApprovals;

    // Mapping from owner to operator approvals
    mapping(address => mapping(address => bool)) private _operatorApprovals;

    /**
     * @dev Initializes the contract by setting a `name` and a `symbol` to the token collection.
     */
    constructor(string memory name_, string memory symbol_) {
        _name = name_;
        _symbol = symbol_;
    }

    /**
     * @dev See {IERC165-supportsInterface}.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override(ERC165, IERC165) returns (bool) {
        return
            interfaceId == type(IERC721).interfaceId ||
            interfaceId == type(IERC721Metadata).interfaceId ||
            super.supportsInterface(interfaceId);
    }

    /**
     * @dev See {IERC721-balanceOf}.
     */
    function balanceOf(address owner) public view virtual override returns (uint256) {
        require(owner != address(0), "ERC721: address zero is not a valid owner");
        return _balances[owner];
    }

    /**
     * @dev See {IERC721-ownerOf}.
     */
    function ownerOf(uint256 tokenId) public view virtual override returns (address) {
        address owner = _ownerOf(tokenId);
        require(owner != address(0), "ERC721: invalid token ID");
        return owner;
    }

    /**
     * @dev See {IERC721Metadata-name}.
     */
    function name() public view virtual override returns (string memory) {
        return _name;
    }

    /**
     * @dev See {IERC721Metadata-symbol}.
     */
    function symbol() public view virtual override returns (string memory) {
        return _symbol;
    }

    /**
     * @dev See {IERC721Metadata-tokenURI}.
     */
    function tokenURI(uint256 tokenId) public view virtual override returns (string memory) {
        _requireMinted(tokenId);

        string memory baseURI = _baseURI();
        return bytes(baseURI).length > 0 ? string(abi.encodePacked(baseURI, tokenId.toString())) : "";
    }

    /**
     * @dev Base URI for computing {tokenURI}. If set, the resulting URI for each
     * token will be the concatenation of the `baseURI` and the `tokenId`. Empty
     * by default, can be overridden in child contracts.
     */
    function _baseURI() internal view virtual returns (string memory) {
        return "";
    }

    /**
     * @dev See {IERC721-approve}.
     */
    function approve(address to, uint256 tokenId) public virtual override {
        address owner = ERC721.ownerOf(tokenId);
        require(to != owner, "ERC721: approval to current owner");

        require(
            _msgSender() == owner || isApprovedForAll(owner, _msgSender()),
            "ERC721: approve caller is not token owner or approved for all"
        );

        _approve(to, tokenId);
    }

    /**
     * @dev See {IERC721-getApproved}.
     */
    function getApproved(uint256 tokenId) public view virtual override returns (address) {
        _requireMinted(tokenId);

        return _tokenApprovals[tokenId];
    }

    /**
     * @dev See {IERC721-setApprovalForAll}.
     */
    function setApprovalForAll(address operator, bool approved) public virtual override {
        _setApprovalForAll(_msgSender(), operator, approved);
    }

    /**
     * @dev See {IERC721-isApprovedForAll}.
     */
    function isApprovedForAll(address owner, address operator) public view virtual override returns (bool) {
        return _operatorApprovals[owner][operator];
    }

    /**
     * @dev See {IERC721-transferFrom}.
     */
    function transferFrom(
        address from,
        address to,
        uint256 tokenId
    ) public virtual override {
        //solhint-disable-next-line max-line-length
        require(_isApprovedOrOwner(_msgSender(), tokenId), "ERC721: caller is not token owner or approved");

        _transfer(from, to, tokenId);
    }

    /**
     * @dev See {IERC721-safeTransferFrom}.
     */
    function safeTransferFrom(
        address from,
        address to,
        uint256 tokenId
    ) public virtual override {
        safeTransferFrom(from, to, tokenId, "");
    }

    /**
     * @dev See {IERC721-safeTransferFrom}.
     */
    function safeTransferFrom(
        address from,
        address to,
        uint256 tokenId,
        bytes memory data
    ) public virtual override {
        require(_isApprovedOrOwner(_msgSender(), tokenId), "ERC721: caller is not token owner or approved");
        _safeTransfer(from, to, tokenId, data);
    }

    /**
     * @dev Safely transfers `tokenId` token from `from` to `to`, checking first that contract recipients
     * are aware of the ERC721 protocol to prevent tokens from being forever locked.
     *
     * `data` is additional data, it has no specified format and it is sent in call to `to`.
     *
     * This internal function is equivalent to {safeTransferFrom}, and can be used to e.g.
     * implement alternative mechanisms to perform token transfer, such as signature-based.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must exist and be owned by `from`.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function _safeTransfer(
        address from,
        address to,
        uint256 tokenId,
        bytes memory data
    ) internal virtual {
        _transfer(from, to, tokenId);
        require(_checkOnERC721Received(from, to, tokenId, data), "ERC721: transfer to non ERC721Receiver implementer");
    }

    /**
     * @dev Returns the owner of the `tokenId`. Does NOT revert if token doesn't exist
     */
    function _ownerOf(uint256 tokenId) internal view virtual returns (address) {
        return _owners[tokenId];
    }

    /**
     * @dev Returns whether `tokenId` exists.
     *
     * Tokens can be managed by their owner or approved accounts via {approve} or {setApprovalForAll}.
     *
     * Tokens start existing when they are minted (`_mint`),
     * and stop existing when they are burned (`_burn`).
     */
    function _exists(uint256 tokenId) internal view virtual returns (bool) {
        return _ownerOf(tokenId) != address(0);
    }

    /**
     * @dev Returns whether `spender` is allowed to manage `tokenId`.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     */
    function _isApprovedOrOwner(address spender, uint256 tokenId) internal view virtual returns (bool) {
        address owner = ERC721.ownerOf(tokenId);
        return (spender == owner || isApprovedForAll(owner, spender) || getApproved(tokenId) == spender);
    }

    /**
     * @dev Safely mints `tokenId` and transfers it to `to`.
     *
     * Requirements:
     *
     * - `tokenId` must not exist.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function _safeMint(address to, uint256 tokenId) internal virtual {
        _safeMint(to, tokenId, "");
    }

    /**
     * @dev Same as {xref-ERC721-_safeMint-address-uint256-}[`_safeMint`], with an additional `data` parameter which is
     * forwarded in {IERC721Receiver-onERC721Received} to contract recipients.
     */
    function _safeMint(
        address to,
        uint256 tokenId,
        bytes memory data
    ) internal virtual {
        _mint(to, tokenId);
        require(
            _checkOnERC721Received(address(0), to, tokenId, data),
            "ERC721: transfer to non ERC721Receiver implementer"
        );
    }

    /**
     * @dev Mints `tokenId` and transfers it to `to`.
     *
     * WARNING: Usage of this method is discouraged, use {_safeMint} whenever possible
     *
     * Requirements:
     *
     * - `tokenId` must not exist.
     * - `to` cannot be the zero address.
     *
     * Emits a {Transfer} event.
     */
    function _mint(address to, uint256 tokenId) internal virtual {
        require(to != address(0), "ERC721: mint to the zero address");
        require(!_exists(tokenId), "ERC721: token already minted");

        _beforeTokenTransfer(address(0), to, tokenId, 1);

        // Check that tokenId was not minted by `_beforeTokenTransfer` hook
        require(!_exists(tokenId), "ERC721: token already minted");

        unchecked {
            // Will not overflow unless all 2**256 token ids are minted to the same owner.
            // Given that tokens are minted one by one, it is impossible in practice that
            // this ever happens. Might change if we allow batch minting.
            // The ERC fails to describe this case.
            _balances[to] += 1;
        }

        _owners[tokenId] = to;

        emit Transfer(address(0), to, tokenId);

        _afterTokenTransfer(address(0), to, tokenId, 1);
    }

    /**
     * @dev Destroys `tokenId`.
     * The approval is cleared when the token is burned.
     * This is an internal function that does not check if the sender is authorized to operate on the token.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     *
     * Emits a {Transfer} event.
     */
    function _burn(uint256 tokenId) internal virtual {
        address owner = ERC721.ownerOf(tokenId);

        _beforeTokenTransfer(owner, address(0), tokenId, 1);

        // Update ownership in case tokenId was transferred by `_beforeTokenTransfer` hook
        owner = ERC721.ownerOf(tokenId);

        // Clear approvals
        delete _tokenApprovals[tokenId];

        unchecked {
            // Cannot overflow, as that would require more tokens to be burned/transferred
            // out than the owner initially received through minting and transferring in.
            _balances[owner] -= 1;
        }
        delete _owners[tokenId];

        emit Transfer(owner, address(0), tokenId);

        _afterTokenTransfer(owner, address(0), tokenId, 1);
    }

    /**
     * @dev Transfers `tokenId` from `from` to `to`.
     *  As opposed to {transferFrom}, this imposes no restrictions on msg.sender.
     *
     * Requirements:
     *
     * - `to` cannot be the zero address.
     * - `tokenId` token must be owned by `from`.
     *
     * Emits a {Transfer} event.
     */
    function _transfer(
        address from,
        address to,
        uint256 tokenId
    ) internal virtual {
        require(ERC721.ownerOf(tokenId) == from, "ERC721: transfer from incorrect owner");
        require(to != address(0), "ERC721: transfer to the zero address");

        _beforeTokenTransfer(from, to, tokenId, 1);

        // Check that tokenId was not transferred by `_beforeTokenTransfer` hook
        require(ERC721.ownerOf(tokenId) == from, "ERC721: transfer from incorrect owner");

        // Clear approvals from the previous owner
        delete _tokenApprovals[tokenId];

        unchecked {
            // `_balances[from]` cannot overflow for the same reason as described in `_burn`:
            // `from`'s balance is the number of token held, which is at least one before the current
            // transfer.
            // `_balances[to]` could overflow in the conditions described in `_mint`. That would require
            // all 2**256 token ids to be minted, which in practice is impossible.
            _balances[from] -= 1;
            _balances[to] += 1;
        }
        _owners[tokenId] = to;

        emit Transfer(from, to, tokenId);

        _afterTokenTransfer(from, to, tokenId, 1);
    }

    /**
     * @dev Approve `to` to operate on `tokenId`
     *
     * Emits an {Approval} event.
     */
    function _approve(address to, uint256 tokenId) internal virtual {
        _tokenApprovals[tokenId] = to;
        emit Approval(ERC721.ownerOf(tokenId), to, tokenId);
    }

    /**
     * @dev Approve `operator` to operate on all of `owner` tokens
     *
     * Emits an {ApprovalForAll} event.
     */
    function _setApprovalForAll(
        address owner,
        address operator,
        bool approved
    ) internal virtual {
        require(owner != operator, "ERC721: approve to caller");
        _operatorApprovals[owner][operator] = approved;
        emit ApprovalForAll(owner, operator, approved);
    }

    /**
     * @dev Reverts if the `tokenId` has not been minted yet.
     */
    function _requireMinted(uint256 tokenId) internal view virtual {
        require(_exists(tokenId), "ERC721: invalid token ID");
    }

    /**
     * @dev Internal function to invoke {IERC721Receiver-onERC721Received} on a target address.
     * The call is not executed if the target address is not a contract.
     *
     * @param from address representing the previous owner of the given token ID
     * @param to target address that will receive the tokens
     * @param tokenId uint256 ID of the token to be transferred
     * @param data bytes optional data to send along with the call
     * @return bool whether the call correctly returned the expected magic value
     */
    function _checkOnERC721Received(
        address from,
        address to,
        uint256 tokenId,
        bytes memory data
    ) private returns (bool) {
        if (to.isContract()) {
            try IERC721Receiver(to).onERC721Received(_msgSender(), from, tokenId, data) returns (bytes4 retval) {
                return retval == IERC721Receiver.onERC721Received.selector;
            } catch (bytes memory reason) {
                if (reason.length == 0) {
                    revert("ERC721: transfer to non ERC721Receiver implementer");
                } else {
                    /// @solidity memory-safe-assembly
                    assembly {
                        revert(add(32, reason), mload(reason))
                    }
                }
            }
        } else {
            return true;
        }
    }

    /**
     * @dev Hook that is called before any token transfer. This includes minting and burning. If {ERC721Consecutive} is
     * used, the hook may be called as part of a consecutive (batch) mint, as indicated by `batchSize` greater than 1.
     *
     * Calling conditions:
     *
     * - When `from` and `to` are both non-zero, ``from``'s tokens will be transferred to `to`.
     * - When `from` is zero, the tokens will be minted for `to`.
     * - When `to` is zero, ``from``'s tokens will be burned.
     * - `from` and `to` are never both zero.
     * - `batchSize` is non-zero.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _beforeTokenTransfer(
        address from,
        address to,
        uint256 firstTokenId,
        uint256 batchSize
    ) internal virtual {}

    /**
     * @dev Hook that is called after any token transfer. This includes minting and burning. If {ERC721Consecutive} is
     * used, the hook may be called as part of a consecutive (batch) mint, as indicated by `batchSize` greater than 1.
     *
     * Calling conditions:
     *
     * - When `from` and `to` are both non-zero, ``from``'s tokens were transferred to `to`.
     * - When `from` is zero, the tokens were minted for `to`.
     * - When `to` is zero, ``from``'s tokens were burned.
     * - `from` and `to` are never both zero.
     * - `batchSize` is non-zero.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _afterTokenTransfer(
        address from,
        address to,
        uint256 firstTokenId,
        uint256 batchSize
    ) internal virtual {}

    /**
     * @dev Unsafe write access to the balances, used by extensions that "mint" tokens using an {ownerOf} override.
     *
     * WARNING: Anyone calling this MUST ensure that the balances remain consistent with the ownership. The invariant
     * being that for any address `a` the value returned by `balanceOf(a)` must be equal to the number of tokens such
     * that `ownerOf(tokenId)` is `a`.
     */
    // solhint-disable-next-line func-name-mixedcase
    function __unsafe_increaseBalance(address account, uint256 amount) internal {
        _balances[account] += amount;
    }
}


// File @openzeppelin/contracts/token/ERC721/extensions/IERC721Enumerable.sol@v4.8.2


// OpenZeppelin Contracts (last updated v4.5.0) (token/ERC721/extensions/IERC721Enumerable.sol)

pragma solidity ^0.8.0;

/**
 * @title ERC-721 Non-Fungible Token Standard, optional enumeration extension
 * @dev See https://eips.ethereum.org/EIPS/eip-721
 */
interface IERC721Enumerable is IERC721 {
    /**
     * @dev Returns the total amount of tokens stored by the contract.
     */
    function totalSupply() external view returns (uint256);

    /**
     * @dev Returns a token ID owned by `owner` at a given `index` of its token list.
     * Use along with {balanceOf} to enumerate all of ``owner``'s tokens.
     */
    function tokenOfOwnerByIndex(address owner, uint256 index) external view returns (uint256);

    /**
     * @dev Returns a token ID at a given `index` of all the tokens stored by the contract.
     * Use along with {totalSupply} to enumerate all tokens.
     */
    function tokenByIndex(uint256 index) external view returns (uint256);
}


// File @openzeppelin/contracts/token/ERC721/extensions/ERC721Enumerable.sol@v4.8.2


// OpenZeppelin Contracts (last updated v4.8.0) (token/ERC721/extensions/ERC721Enumerable.sol)

pragma solidity ^0.8.0;


/**
 * @dev This implements an optional extension of {ERC721} defined in the EIP that adds
 * enumerability of all the token ids in the contract as well as all token ids owned by each
 * account.
 */
abstract contract ERC721Enumerable is ERC721, IERC721Enumerable {
    // Mapping from owner to list of owned token IDs
    mapping(address => mapping(uint256 => uint256)) private _ownedTokens;

    // Mapping from token ID to index of the owner tokens list
    mapping(uint256 => uint256) private _ownedTokensIndex;

    // Array with all token ids, used for enumeration
    uint256[] private _allTokens;

    // Mapping from token id to position in the allTokens array
    mapping(uint256 => uint256) private _allTokensIndex;

    /**
     * @dev See {IERC165-supportsInterface}.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override(IERC165, ERC721) returns (bool) {
        return interfaceId == type(IERC721Enumerable).interfaceId || super.supportsInterface(interfaceId);
    }

    /**
     * @dev See {IERC721Enumerable-tokenOfOwnerByIndex}.
     */
    function tokenOfOwnerByIndex(address owner, uint256 index) public view virtual override returns (uint256) {
        require(index < ERC721.balanceOf(owner), "ERC721Enumerable: owner index out of bounds");
        return _ownedTokens[owner][index];
    }

    /**
     * @dev See {IERC721Enumerable-totalSupply}.
     */
    function totalSupply() public view virtual override returns (uint256) {
        return _allTokens.length;
    }

    /**
     * @dev See {IERC721Enumerable-tokenByIndex}.
     */
    function tokenByIndex(uint256 index) public view virtual override returns (uint256) {
        require(index < ERC721Enumerable.totalSupply(), "ERC721Enumerable: global index out of bounds");
        return _allTokens[index];
    }

    /**
     * @dev See {ERC721-_beforeTokenTransfer}.
     */
    function _beforeTokenTransfer(
        address from,
        address to,
        uint256 firstTokenId,
        uint256 batchSize
    ) internal virtual override {
        super._beforeTokenTransfer(from, to, firstTokenId, batchSize);

        if (batchSize > 1) {
            // Will only trigger during construction. Batch transferring (minting) is not available afterwards.
            revert("ERC721Enumerable: consecutive transfers not supported");
        }

        uint256 tokenId = firstTokenId;

        if (from == address(0)) {
            _addTokenToAllTokensEnumeration(tokenId);
        } else if (from != to) {
            _removeTokenFromOwnerEnumeration(from, tokenId);
        }
        if (to == address(0)) {
            _removeTokenFromAllTokensEnumeration(tokenId);
        } else if (to != from) {
            _addTokenToOwnerEnumeration(to, tokenId);
        }
    }

    /**
     * @dev Private function to add a token to this extension's ownership-tracking data structures.
     * @param to address representing the new owner of the given token ID
     * @param tokenId uint256 ID of the token to be added to the tokens list of the given address
     */
    function _addTokenToOwnerEnumeration(address to, uint256 tokenId) private {
        uint256 length = ERC721.balanceOf(to);
        _ownedTokens[to][length] = tokenId;
        _ownedTokensIndex[tokenId] = length;
    }

    /**
     * @dev Private function to add a token to this extension's token tracking data structures.
     * @param tokenId uint256 ID of the token to be added to the tokens list
     */
    function _addTokenToAllTokensEnumeration(uint256 tokenId) private {
        _allTokensIndex[tokenId] = _allTokens.length;
        _allTokens.push(tokenId);
    }

    /**
     * @dev Private function to remove a token from this extension's ownership-tracking data structures. Note that
     * while the token is not assigned a new owner, the `_ownedTokensIndex` mapping is _not_ updated: this allows for
     * gas optimizations e.g. when performing a transfer operation (avoiding double writes).
     * This has O(1) time complexity, but alters the order of the _ownedTokens array.
     * @param from address representing the previous owner of the given token ID
     * @param tokenId uint256 ID of the token to be removed from the tokens list of the given address
     */
    function _removeTokenFromOwnerEnumeration(address from, uint256 tokenId) private {
        // To prevent a gap in from's tokens array, we store the last token in the index of the token to delete, and
        // then delete the last slot (swap and pop).

        uint256 lastTokenIndex = ERC721.balanceOf(from) - 1;
        uint256 tokenIndex = _ownedTokensIndex[tokenId];

        // When the token to delete is the last token, the swap operation is unnecessary
        if (tokenIndex != lastTokenIndex) {
            uint256 lastTokenId = _ownedTokens[from][lastTokenIndex];

            _ownedTokens[from][tokenIndex] = lastTokenId; // Move the last token to the slot of the to-delete token
            _ownedTokensIndex[lastTokenId] = tokenIndex; // Update the moved token's index
        }

        // This also deletes the contents at the last position of the array
        delete _ownedTokensIndex[tokenId];
        delete _ownedTokens[from][lastTokenIndex];
    }

    /**
     * @dev Private function to remove a token from this extension's token tracking data structures.
     * This has O(1) time complexity, but alters the order of the _allTokens array.
     * @param tokenId uint256 ID of the token to be removed from the tokens list
     */
    function _removeTokenFromAllTokensEnumeration(uint256 tokenId) private {
        // To prevent a gap in the tokens array, we store the last token in the index of the token to delete, and
        // then delete the last slot (swap and pop).

        uint256 lastTokenIndex = _allTokens.length - 1;
        uint256 tokenIndex = _allTokensIndex[tokenId];

        // When the token to delete is the last token, the swap operation is unnecessary. However, since this occurs so
        // rarely (when the last minted token is burnt) that we still do the swap here to avoid the gas cost of adding
        // an 'if' statement (like in _removeTokenFromOwnerEnumeration)
        uint256 lastTokenId = _allTokens[lastTokenIndex];

        _allTokens[tokenIndex] = lastTokenId; // Move the last token to the slot of the to-delete token
        _allTokensIndex[lastTokenId] = tokenIndex; // Update the moved token's index

        // This also deletes the contents at the last position of the array
        delete _allTokensIndex[tokenId];
        _allTokens.pop();
    }
}


// File @openzeppelin/contracts/access/Ownable.sol@v4.8.2


// OpenZeppelin Contracts (last updated v4.7.0) (access/Ownable.sol)

pragma solidity ^0.8.0;

/**
 * @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 @openzeppelin/contracts/utils/cryptography/ECDSA.sol@v4.8.2


// OpenZeppelin Contracts (last updated v4.8.0) (utils/cryptography/ECDSA.sol)

pragma solidity ^0.8.0;

/**
 * @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 Γêê {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 contracts/utils/AccessControl.sol


pragma solidity 0.8.18;

/**
 * @title Access Control List
 *
 * @notice Access control smart contract provides an API to check
 *      if specific operation is permitted globally and/or
 *      if particular user has a permission to execute it.
 *
 * @notice It deals with two main entities: features and roles.
 *
 * @notice Features are designed to be used to enable/disable specific
 *      functions (public functions) of the smart contract for everyone.
 * @notice User roles are designed to restrict access to specific
 *      functions (restricted functions) of the smart contract to some users.
 *
 * @notice Terms "role", "permissions" and "set of permissions" have equal meaning
 *      in the documentation text and may be used interchangeably.
 * @notice Terms "permission", "single permission" implies only one permission bit set.
 *
 * @notice Access manager is a special role which allows to grant/revoke other roles.
 *      Access managers can only grant/revoke permissions which they have themselves.
 *      As an example, access manager with no other roles set can only grant/revoke its own
 *      access manager permission and nothing else.
 *
 * @notice Access manager permission should be treated carefully, as a super admin permission:
 *      Access manager with even no other permission can interfere with another account by
 *      granting own access manager permission to it and effectively creating more powerful
 *      permission set than its own.
 *
 * @dev Both current and OpenZeppelin AccessControl implementations feature a similar API
 *      to check/know "who is allowed to do this thing".
 * @dev Zeppelin implementation is more flexible:
 *      - it allows setting unlimited number of roles, while current is limited to 256 different roles
 *      - it allows setting an admin for each role, while current allows having only one global admin
 * @dev Current implementation is more lightweight:
 *      - it uses only 1 bit per role, while Zeppelin uses 256 bits
 *      - it allows setting up to 256 roles at once, in a single transaction, while Zeppelin allows
 *        setting only one role in a single transaction
 *
 * @dev This smart contract is designed to be inherited by other
 *      smart contracts which require access control management capabilities.
 *
 * @dev Access manager permission has a bit 255 set.
 *      This bit must not be used by inheriting contracts for any other permissions/features.
 */
contract AccessControl {
	/**
	 * @notice Access manager is responsible for assigning the roles to users,
	 *      enabling/disabling global features of the smart contract
	 * @notice Access manager can add, remove and update user roles,
	 *      remove and update global features
	 *
	 * @dev Role ROLE_ACCESS_MANAGER allows modifying user roles and global features
	 * @dev Role ROLE_ACCESS_MANAGER has single bit at position 255 enabled
	 */
	uint256 public constant ROLE_ACCESS_MANAGER = 0x8000000000000000000000000000000000000000000000000000000000000000;

	/**
	 * @dev Bitmask representing all the possible permissions (super admin role)
	 * @dev Has all the bits are enabled (2^256 - 1 value)
	 */
	uint256 private constant FULL_PRIVILEGES_MASK = type(uint256).max; // before 0.8.0: uint256(-1) overflows to 0xFFFF...

	/**
	 * @notice Privileged addresses with defined roles/permissions
	 * @notice In the context of ERC20/ERC721 tokens these can be permissions to
	 *      allow minting or burning tokens, transferring on behalf and so on
	 *
	 * @dev Maps user address to the permissions bitmask (role), where each bit
	 *      represents a permission
	 * @dev Bitmask 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF
	 *      represents all possible permissions
	 * @dev 'This' address mapping represents global features of the smart contract
	 */
	mapping(address => uint256) public userRoles;

	/**
	 * @dev Fired in updateRole() and updateFeatures()
	 *
	 * @param _by operator which called the function
	 * @param _to address which was granted/revoked permissions
	 * @param _requested permissions requested
	 * @param _actual permissions effectively set
	 */
	event RoleUpdated(address indexed _by, address indexed _to, uint256 _requested, uint256 _actual);

	/**
	 * @notice Creates an access control instance,
	 *      setting contract creator to have full privileges
	 */
	constructor() {
		// contract creator has full privileges
		userRoles[msg.sender] = FULL_PRIVILEGES_MASK;
	}

	/**
	 * @notice Retrieves globally set of features enabled
	 *
	 * @dev Effectively reads userRoles role for the contract itself
	 *
	 * @return 256-bit bitmask of the features enabled
	 */
	function features() public view returns(uint256) {
		// features are stored in 'this' address  mapping of `userRoles` structure
		return userRoles[address(this)];
	}

	/**
	 * @notice Updates set of the globally enabled features (`features`),
	 *      taking into account sender's permissions
	 *
	 * @dev Requires transaction sender to have `ROLE_ACCESS_MANAGER` permission
	 * @dev Function is left for backward compatibility with older versions
	 *
	 * @param _mask bitmask representing a set of features to enable/disable
	 */
	function updateFeatures(uint256 _mask) public {
		// delegate call to `updateRole`
		updateRole(address(this), _mask);
	}

	/**
	 * @notice Updates set of permissions (role) for a given user,
	 *      taking into account sender's permissions.
	 *
	 * @dev Setting role to zero is equivalent to removing an all permissions
	 * @dev Setting role to `FULL_PRIVILEGES_MASK` is equivalent to
	 *      copying senders' permissions (role) to the user
	 * @dev Requires transaction sender to have `ROLE_ACCESS_MANAGER` permission
	 *
	 * @param operator address of a user to alter permissions for or zero
	 *      to alter global features of the smart contract
	 * @param role bitmask representing a set of permissions to
	 *      enable/disable for a user specified
	 */
	function updateRole(address operator, uint256 role) public {
		// caller must have a permission to update user roles
		require(isSenderInRole(ROLE_ACCESS_MANAGER), "access denied");

		// evaluate the role and reassign it
		userRoles[operator] = evaluateBy(msg.sender, userRoles[operator], role);

		// fire an event
		emit RoleUpdated(msg.sender, operator, role, userRoles[operator]);
	}

	/**
	 * @notice Determines the permission bitmask an operator can set on the
	 *      target permission set
	 * @notice Used to calculate the permission bitmask to be set when requested
	 *     in `updateRole` and `updateFeatures` functions
	 *
	 * @dev Calculated based on:
	 *      1) operator's own permission set read from userRoles[operator]
	 *      2) target permission set - what is already set on the target
	 *      3) desired permission set - what do we want set target to
	 *
	 * @dev Corner cases:
	 *      1) Operator is super admin and its permission set is `FULL_PRIVILEGES_MASK`:
	 *        `desired` bitset is returned regardless of the `target` permission set value
	 *        (what operator sets is what they get)
	 *      2) Operator with no permissions (zero bitset):
	 *        `target` bitset is returned regardless of the `desired` value
	 *        (operator has no authority and cannot modify anything)
	 *
	 * @dev Example:
	 *      Consider an operator with the permissions bitmask     00001111
	 *      is about to modify the target permission set          01010101
	 *      Operator wants to set that permission set to          00110011
	 *      Based on their role, an operator has the permissions
	 *      to update only lowest 4 bits on the target, meaning that
	 *      high 4 bits of the target set in this example is left
	 *      unchanged and low 4 bits get changed as desired:      01010011
	 *
	 * @param operator address of the contract operator which is about to set the permissions
	 * @param target input set of permissions to operator is going to modify
	 * @param desired desired set of permissions operator would like to set
	 * @return resulting set of permissions given operator will set
	 */
	function evaluateBy(address operator, uint256 target, uint256 desired) public view returns(uint256) {
		// read operator's permissions
		uint256 p = userRoles[operator];

		// taking into account operator's permissions,
		// 1) enable the permissions desired on the `target`
		target |= p & desired;
		// 2) disable the permissions desired on the `target`
		target &= FULL_PRIVILEGES_MASK ^ (p & (FULL_PRIVILEGES_MASK ^ desired));

		// return calculated result
		return target;
	}

	/**
	 * @notice Checks if requested set of features is enabled globally on the contract
	 *
	 * @param required set of features to check against
	 * @return true if all the features requested are enabled, false otherwise
	 */
	function isFeatureEnabled(uint256 required) public view returns(bool) {
		// delegate call to `__hasRole`, passing `features` property
		return __hasRole(features(), required);
	}

	/**
	 * @notice Checks if transaction sender `msg.sender` has all the permissions required
	 *
	 * @param required set of permissions (role) to check against
	 * @return true if all the permissions requested are enabled, false otherwise
	 */
	function isSenderInRole(uint256 required) public view returns(bool) {
		// delegate call to `isOperatorInRole`, passing transaction sender
		return isOperatorInRole(msg.sender, required);
	}

	/**
	 * @notice Checks if operator has all the permissions (role) required
	 *
	 * @param operator address of the user to check role for
	 * @param required set of permissions (role) to check
	 * @return true if all the permissions requested are enabled, false otherwise
	 */
	function isOperatorInRole(address operator, uint256 required) public view returns(bool) {
		// delegate call to `__hasRole`, passing operator's permissions (role)
		return __hasRole(userRoles[operator], required);
	}

	/**
	 * @dev Checks if role `actual` contains all the permissions required `required`
	 *
	 * @param actual existent role
	 * @param required required role
	 * @return true if actual has required role (all permissions), false otherwise
	 */
	function __hasRole(uint256 actual, uint256 required) internal pure returns(bool) {
		// check the bitmask for the role required and return the result
		return actual & required == required;
	}
}


// File contracts/interfaces/IERC4907.sol


pragma solidity 0.8.18;

interface IERC4907 {

    // Logged when the user of an NFT is changed or expires is changed
    /// @notice Emitted when the `user` of an NFT or the `expires` of the `user` is changed
    /// The zero address for user indicates that there is no user address
    event UpdateUser(uint256 indexed tokenId, address indexed user, uint64 expires);

    /// @notice set the user and expires of an NFT
    /// @dev The zero address indicates there is no user
    /// Throws if `tokenId` is not valid NFT
    /// @param user  The new user of the NFT
    /// @param expires  UNIX timestamp, The new user could use the NFT before expires
    function setUser(uint256 tokenId, address user, uint64 expires) external;

    /// @notice Get the user address of an NFT
    /// @dev The zero address indicates that there is no user or the user is expired
    /// @param tokenId The NFT to get the user address for
    /// @return The user address for this NFT
    function userOf(uint256 tokenId) external view returns(address);

    /// @notice Get the user expires of an NFT
    /// @dev The zero value indicates that there is no user
    /// @param tokenId The NFT to get the user expires for
    /// @return The user expires for this NFT
    function userExpires(uint256 tokenId) external view returns(uint256);
}


// File contracts/token/MemeCrafterNFT.sol


pragma solidity 0.8.18;
/**
 * @title MemeCrafter NFT version 1.0
 * 
 * @notice This smart contract is designed to be inherited by concrete implementations,
 *      which are expected to define token metadata, auxiliary functions to access the metadata,
 *      and explicitly define token minting interface, which should be built on top
 *      of current smart contract internal interface
 * 
 * @notice Fully ERC721-compatible with all optional interfaces implemented (metadata, enumeration),
 *      see https://eips.ethereum.org/EIPS/eip-721
 * 
 * @notice Fully ERC4907-compatible,
 * 		see https://eips.ethereum.org/EIPS/eip-4907
 * 
 * @dev Supports EIP-712 powered permits - permit() - approve() with signature.
 *      Supports EIP-712 powered operator permits - permitForAll() - setApprovalForAll() with signature.
 * 		See https://eips.ethereum.org/EIPS/eip-712
 * 
 * @dev Supports EIP-2981 royalties on NFT secondary sales
 *      Supports OpenSea contract metadata royalties
 *      Introduces "owner" to support OpenSea collections
 */
contract MemeCrafterNFT is ERC721Enumerable, Ownable, AccessControl, IERC4907 {
    using Strings for uint256;
	
    /**
	 * @dev Base URI is used to construct ERC721Metadata.tokenURI as
	 *      `base URI + token ID`
	 *
	 * @dev For example, if base URI is https://api.com/token/, then token #1
	 *      will have an URI https://api.com/token/1
	 */
	string public baseURI = "";

	/**
	 * @dev `UserInfo` keeps user information, including user address and expiry time for given token ID
	 */
	struct UserInfo 
    {
        address user;   // address of user role
        uint64 expires; // unix timestamp, user expires
    }

	/**
	 * @notice User information for all the tokens in existence
	 *
	 * @dev Token user information for a given token ID
	 */
    mapping (uint256  => UserInfo) internal _users;

	/**
	 * @notice Creator information for all the tokens in existence
	 *
	 * @dev Token Creator Address for a given token ID
	 */ 
    mapping(uint256 => address) public creator;

	/**
	 * @dev A record of nonces for signing/validating signatures in EIP-712 based
	 *      `permit` and `permitForAll` functions
	 *
	 * @dev Each time the nonce is used, it is increased by one, meaning reordering
	 *      of the EIP-712 transactions is not possible
	 *
	 * @dev Inspired by EIP-2612 extension for ERC20 token standard
	 *
	 * @dev Maps token owner address => token owner nonce
	 */
	mapping(address => uint256) public permitNonces;

	/**
	 * @dev A record of filter operator addresses
	 *
	 * @dev Inspired by opensea operator filter registry
	 *
	 * @dev Maps operator address => filter list
	 */
	mapping (address => bool) public isFilterOperator;

	/**
	 * @notice Percentage of token sale price to be used for EIP-2981 royalties from secondary sales
	 *         see https://eips.ethereum.org/EIPS/eip-2981
	 *
	 * @dev Has 2 decimal precision. E.g. a value of 500 would result in a 5% royalty fee
	 */
	uint16 public royaltyPercentage = 750; // default OpenSea value

    /**
	 * @notice Enables token owners to burn their own tokens
	 *
	 * @dev Feature FEATURE_OWN_BURNS must be enabled in order for
	 *      `burn()` function to succeed when called by token owner
	 */
	uint32 public constant FEATURE_OWN_BURNS = 0x0000_0001;

	/**
	 * @notice Enables approved operators to burn tokens on behalf of their owners
	 *
	 * @dev Feature FEATURE_BURNS_ON_BEHALF must be enabled in order for
	 *      `burn()` function to succeed when called by approved operator
	 */
	uint32 public constant FEATURE_BURNS_ON_BEHALF = 0x0000_0002;

	/**
	 * @notice Enables token owners to set user for their own tokens
	 *
	 * @dev Feature FEATURE_SET_USER must be enabled in order for
	 *      `setUser()` function to succeed when called by token owner
	 */
	uint32 public constant FEATURE_SET_USER = 0x0000_0004;

	/**
	 * @notice Enables approved operators to set user for tokens on behalf of their owners
	 *
	 * @dev Feature FEATURE_SET_USER_ON_BEHALF must be enabled in order for
	 *      `setUser()` function to succeed when called by approved operator
	 */
	uint32 public constant FEATURE_SET_USER_ON_BEHALF = 0x0000_0008;
    
    /**
	 * @notice Token creator is responsible for creating (minting)
	 *      tokens to an arbitrary address
	 * @dev Role ROLE_TOKEN_CREATOR allows minting tokens
	 *      (calling `mint` function)
	 */
	uint32 public constant ROLE_TOKEN_CREATOR = 0x0001_0000;

	/**
	 * @notice Token destroyer is responsible for destroying (burning)
	 *      tokens owned by an arbitrary address
	 * @dev Role ROLE_TOKEN_DESTROYER allows burning tokens
	 *      (calling `burn` function)
	 */
	uint32 public constant ROLE_TOKEN_DESTROYER = 0x0002_0000;

	/**
	 * @notice URI manager is responsible for managing base URI
	 *      part of the token URI ERC721Metadata interface
	 *
	 * @dev Role ROLE_URI_MANAGER allows updating the base URI
	 *      (executing `setBaseURI` function)
	 */
	uint32 public constant ROLE_URI_MANAGER = 0x0004_0000;

	/**
	 * @notice Royalty manager is responsible for managing the EIP2981 royalty info
	 *
	 * @dev Role ROLE_ROYALTY_MANAGER allows updating the royalty information
	 *      (executing `setRoyaltyInfo` function)
	 */
	uint32 public constant ROLE_ROYALTY_MANAGER = 0x0008_0000;

	/**
	 * @notice User manager is responsible for setting users for
	 *      tokens owned by an arbitrary address
	 * @dev Role ROLE_USER_MANAGER allows set user for token
	 *      (calling `setUser` function)
	 */
	uint32 public constant ROLE_USER_MANAGER = 0x0010_0000;

	/**
	 * @notice Operator filter is responsible for managing the operator filter registry
	 *
	 * @dev Role ROLE_OPERATOR_FILTER allows updating the operator filter information
	 *      (executing `setOperatorFilter` function)
	 */
	uint32 public constant ROLE_OPERATOR_FILTER = 0x0020_0000;

	/**
	 * @notice EIP-712 contract's domain typeHash,
	 *      see https://eips.ethereum.org/EIPS/eip-712#rationale-for-typehash
	 *
	 * @dev Note: we do not include version into the domain typehash/separator,
	 *      it is implied version is concatenated to the name field, like "MemeCrafter"
	 */
	// keccak256("EIP712Domain(string name,uint256 chainId,address verifyingContract)")
	bytes32 public constant DOMAIN_TYPEHASH = 0x8cad95687ba82c2ce50e74f7b754645e5117c3a5bec8151c0726d5857980a866;

	/**
	 * @notice EIP-712 contract's domain separator,
	 *      see https://eips.ethereum.org/EIPS/eip-712#definition-of-domainseparator
	 */
	bytes32 public immutable DOMAIN_SEPARATOR;

	/**
	 * @notice EIP-712 permit (EIP-2612) struct typeHash,
	 *      see https://eips.ethereum.org/EIPS/eip-712#rationale-for-typehash
	 */
	// keccak256("Permit(address owner,address operator,uint256 tokenId,uint256 nonce,uint256 deadline)")
	bytes32 public constant PERMIT_TYPEHASH = 0xee2282d7affd5a432b221a559e429129347b0c19a3f102179a5fb1859eef3d29;

	/**
	 * @notice EIP-712 permitForAll (EIP-2612) struct typeHash,
	 *      see https://eips.ethereum.org/EIPS/eip-712#rationale-for-typehash
	 */
	// keccak256("PermitForAll(address owner,address operator,bool approved,uint256 nonce,uint256 deadline)")
	bytes32 public constant PERMIT_FOR_ALL_TYPEHASH = 0x47ab88482c90e4bb94b82a947ae78fa91fb25de1469ab491f4c15b9a0a2677ee;

    /**
	 * @dev Fired in setBaseURI()
	 *
	 * @param by an address which executed update
	 * @param oldVal old _baseURI value
	 * @param newVal new _baseURI value
	 */
	event BaseURIUpdated(address indexed by, string oldVal, string newVal);

	/**
	 * @dev Fired in setRoyaltyInfo()
	 *
	 * @param by an address which executed update
	 * @param prevPercentage previous royaltyPercentage value
	 * @param newPercentage new royaltyPercentage value
	 */
	event RoyaltyInfoUpdated(
		address indexed by,
		uint16 prevPercentage,
		uint16 newPercentage
	);

	/**
	 * @dev Fired in setOperatorFilter()
	 *
	 * @param operator an operator address
	 * @param isFilter is operator filter or not
	 */
	event UpdateOperator(address indexed operator, bool isFilter);

	/**
	 * @dev Creates/deploys MemeCrafter NFT version 1.0
	 *
	 * @param name_ name of MemeCrafter NFT collection
	 * @param symbol_ symbol of MemeCrafter NFT collection
	 */
    constructor(string memory name_, string memory symbol_) ERC721(name_, symbol_) {
		// build the EIP-712 contract domain separator, see https://eips.ethereum.org/EIPS/eip-712#definition-of-domainseparator
		// note: we specify contract version in its name
		DOMAIN_SEPARATOR = keccak256(abi.encode(DOMAIN_TYPEHASH, keccak256(bytes("MemeCrafter")), block.chainid, address(this)));
	}

	/**
     * @dev A helper function to check if an operator is allowed.
     */
    modifier onlyAllowedOperator(address from) virtual {
        // Allow spending tokens from addresses with balance
        // Note that this still allows listings and marketplaces with escrow to transfer tokens if transferred
        // from an EOA.
        if (from != msg.sender) {
			require(!isFilterOperator[msg.sender], "operator not allowed");
        }
        _;
    }

    /**
     * @dev A helper function to check if an operator approval is allowed.
     */
    modifier onlyAllowedOperatorApproval(address operator) virtual {
        require(!isFilterOperator[operator], "operator not allowed");
        _;
    }

	// ===== Start: MemeCrafter NFT Metadata (view functions) =====

	/**
	 * @inheritdoc ERC165
	 */
	function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
		// construct the interface support from EIP-2981, ERC4907 and super interfaces
		// bytes4(keccak256("royaltyInfo(uint256,uint256)")) == 0x2a55205a
		return interfaceId == 0x2a55205a
				|| interfaceId == type(IERC4907).interfaceId
				|| super.supportsInterface(interfaceId);
	}

	/**
	 * @dev Returns token URI, constructs it as base URI + token ID
	 */
    function tokenURI(uint256 tokenId_) public view virtual override returns (string memory) {
        require(_exists(tokenId_), "token doesn't exist");

        return bytes(baseURI).length > 0 ? string(abi.encodePacked(baseURI, tokenId_.toString())) : "";
    }

	/**
	 * @notice EIP-2981 function to calculate royalties for sales in secondary marketplaces.
	 *         see https://eips.ethereum.org/EIPS/eip-2981
	 */
    function royaltyInfo(uint256 tokenId_, uint256 salePrice_)
        public
        view
        returns (address receiver_, uint256 royaltyAmount_)
    {
		// simply calculate the values and return the result
		return (creator[tokenId_], salePrice_ * royaltyPercentage / 100_00);
    }

	/**
	 * @inheritdoc IERC4907
	 */
	function userOf(uint256 tokenId_) public view returns(address){
        if( uint256(_users[tokenId_].expires) >=  block.timestamp){
            return  _users[tokenId_].user;
        }
        else{
            return address(0);
        }
    }

	/**
	 * @inheritdoc IERC4907
	 */
    function userExpires(uint256 tokenId_) public view returns(uint256){
        return _users[tokenId_].expires;
    }

	// ===== End: MemeCrafter NFT Metadata (view functions) =====

	// ===== Start: ERC721 Metadata =====

	/**
	 * @dev Restricted access function which updates base URI used to construct
	 *      ERC721Metadata.tokenURI
	 *
	 * @dev Requires executor to have ROLE_URI_MANAGER permission
	 *
	 * @param baseURI_ new base URI to set
	 */
    function setBaseURI(string memory baseURI_) external {
		// verify the access permission
		require(isSenderInRole(ROLE_URI_MANAGER), "access denied");

		// emit an event first - to log both old and new values
		emit BaseURIUpdated(msg.sender, baseURI, baseURI_);

		// and update base URI
		baseURI = baseURI_;
	}

	// ===== End: ERC721 Metadata =====

	// ===== Start: EIP2981 mutative functions =====

	/**
	 * @dev Restricted access function which updates the royalty info
	 *
	 * @dev Requires executor to have ROLE_ROYALTY_MANAGER permission
	 *
	 * @param royaltyPercentage_ new royalty percentage to set
	 */
	function setRoyaltyInfo(uint16 royaltyPercentage_) external {
		// verify the access permission
		require(isSenderInRole(ROLE_ROYALTY_MANAGER), "access denied");

		// verify royalty percentage doesn't exceed 100%
		require(royaltyPercentage_ <= 100_00, "royalty percentage exceeds 100%");

		// emit an event first - to log both old and new values
		emit RoyaltyInfoUpdated(msg.sender, royaltyPercentage, royaltyPercentage_);

		// update the values
		royaltyPercentage = royaltyPercentage_;
	}

	// ===== End: EIP2981 mutative functions =====

	// ===== Start: Operator filter registry mutative functions =====

	/**
	 * @dev Restricted access function which updates the operator filter info
	 *
	 * @dev Requires executor to have ROLE_OPERATOR_FILTER permission
	 *
	 * @param operator_ operator address to filter / unfilter
	 * @param isFilter_ is operator filter or not
	 */
	function setOperatorFilter(address operator_, bool isFilter_) external {
		// verify the access permission
		require(isSenderInRole(ROLE_OPERATOR_FILTER), "access denied");

		// verify input address
		require(operator_ != address(0), "invalid input");

		// update the operator detail
		isFilterOperator[operator_] = isFilter_;

		// emit an event
		emit UpdateOperator(operator_, isFilter_);
	}

	// ===== End: Operator filter registry mutative functions =====

	// ===== Start: ERC721 mutative functions (transfers, approvals) =====

	/**
     * @dev See {IERC721-setApprovalForAll}.
     *      added modifier ensures that the operator is allowed by the OperatorFilterRegistry.
     */
	function setApprovalForAll(address operator, bool approved) public override(ERC721, IERC721) onlyAllowedOperatorApproval(operator) {
        super.setApprovalForAll(operator, approved);
    }

	/**
     * @dev See {IERC721-approve}.
     *      added modifier ensures that the operator is allowed by the OperatorFilterRegistry.
     */
    function approve(address operator, uint256 tokenId) public override(ERC721, IERC721) onlyAllowedOperatorApproval(operator) {
        super.approve(operator, tokenId);
    }

	/**
     * @dev See {IERC721-transferFrom}.
     *      added modifier ensures that the operator is allowed by the OperatorFilterRegistry.
     */
    function transferFrom(address from, address to, uint256 tokenId) public override(ERC721, IERC721) onlyAllowedOperator(from) {
        super.transferFrom(from, to, tokenId);
    }

	/**
     * @dev See {IERC721-safeTransferFrom}.
     *      added modifier ensures that the operator is allowed by the OperatorFilterRegistry.
     */
    function safeTransferFrom(address from, address to, uint256 tokenId) public override(ERC721, IERC721) onlyAllowedOperator(from) {
        super.safeTransferFrom(from, to, tokenId);
    }

	/**
     * @dev See {IERC721-safeTransferFrom}.
     *      added modifier ensures that the operator is allowed by the OperatorFilterRegistry.
     */
    function safeTransferFrom(address from, address to, uint256 tokenId, bytes memory data)
        public
        override(ERC721, IERC721)
        onlyAllowedOperator(from)
    {
        super.safeTransferFrom(from, to, tokenId, data);
    }

	// ===== End: ERC721 mutative functions (transfers, approvals) =====

	// ===== Start: mint/burn support =====

	/**
	 * @dev Creates new token with token ID specified
	 *      and assigns an ownership `_to` for this token
	 *
	 * @dev Requires executor to have `ROLE_TOKEN_CREATOR` permission
	 *
	 * @param to_ an address to mint token to
	 * @param tokenId_ ID of the token to mint
	 */
    function mint(address to_, uint256 tokenId_) external {
        // check if caller has sufficient permissions to mint tokens
        require(isSenderInRole(ROLE_TOKEN_CREATOR), "access denied");

        // mint given token ID
        _mint(to_, tokenId_);

		// record creator address
        creator[tokenId_] = to_;
    }

	/**
	 * @dev Destroys the token with token ID specified
	 *
	 * @dev Requires executor to have `ROLE_TOKEN_DESTROYER` permission
	 *      or FEATURE_OWN_BURNS/FEATURE_BURNS_ON_BEHALF features to be enabled
	 *
	 * @dev Can be disabled by the contract creator forever by disabling
	 *      FEATURE_OWN_BURNS/FEATURE_BURNS_ON_BEHALF features and then revoking
	 *      its own roles to burn tokens and to enable burning features
	 *
	 * @param tokenId_ ID of the token to burn
	 */
    function burn(uint256 tokenId_) external {
		// read token owner data
		// verifies token exists under the hood
		address _from = ownerOf(tokenId_);

		// check if caller has sufficient permissions to burn tokens
		// and if not - check for possibility to burn own tokens or to burn on behalf
		if(!isSenderInRole(ROLE_TOKEN_DESTROYER)) {
			// if `_from` is equal to sender, require own burns feature to be enabled
			// otherwise require burns on behalf feature to be enabled
			require(_from == msg.sender && isFeatureEnabled(FEATURE_OWN_BURNS)
			     || _from != msg.sender && isFeatureEnabled(FEATURE_BURNS_ON_BEHALF),
			        _from == msg.sender? "burns are disabled": "burns on behalf are disabled");

			// verify sender is either token owner, or approved by the token owner to burn tokens
			require(_from == msg.sender || msg.sender == getApproved(tokenId_) || isApprovedForAll(_from, msg.sender), "access denied");
		}

		// burn given token ID
        _burn(tokenId_);

		// delete creator address
        delete creator[tokenId_];
	}

	// ===== End: mint/burn support =====

	// ===== Start: Meta-transactions Support =====

	/**
	 * @notice Change or reaffirm the approved address for an NFT on behalf
	 *
	 * @dev Executes approve(_operator, _tokenId) on behalf of the token owner
	 *      who EIP-712 signed the transaction, i.e. as if transaction sender is the EIP712 signer
	 *
	 * @dev Sets the `_tokenId` as the allowance of `_operator` over `_owner` token,
	 *      given `_owner` EIP-712 signed approval
	 *
	 * @dev Emits `Approval` event in the same way as `approve` does
	 *
	 * @dev Requires:
	 *     - `_operator` to be non-zero address
	 *     - `_exp` to be a timestamp in the future
	 *     - `v`, `r` and `s` to be a valid `secp256k1` signature from `_owner`
	 *        over the EIP712-formatted function arguments.
	 *     - the signature to use `_owner` current nonce (see `permitNonces`).
	 *
	 * @dev For more information on the signature format, see the
	 *      https://eips.ethereum.org/EIPS/eip-2612#specification
	 *
	 * @param owner_ owner of the token to set approval on behalf of,
	 *      an address which signed the EIP-712 message
	 * @param operator_ new approved NFT controller
	 * @param tokenId_ token ID to approve
	 * @param exp_ signature expiration time (unix timestamp)
	 * @param v the recovery byte of the signature
	 * @param r half of the ECDSA signature pair
	 * @param s half of the ECDSA signature pair
	 */
	function permit(
		address owner_,
		address operator_,
		uint256 tokenId_,
		uint256 exp_,
		uint8 v,
		bytes32 r,
		bytes32 s
	) external {
		// derive signer of the EIP712 Permit message, and
		// update the nonce for that particular signer to avoid replay attack!!! ----------->>> ΓåôΓåôΓåôΓåôΓåôΓåôΓåôΓåôΓåôΓåôΓåôΓåôΓåôΓåôΓåôΓåôΓåôΓåôΓåôΓåôΓåôΓåô
		address signer = __deriveSigner(abi.encode(PERMIT_TYPEHASH, owner_, operator_, tokenId_, permitNonces[owner_]++, exp_), v, r, s);

		// perform message integrity and security validations
		require(signer == owner_, "invalid signature");
		require(block.timestamp < exp_, "signature expired");

		// delegate call to `__approve` - execute the logic required
		_approve(operator_, tokenId_);
	}

	/**
	 * @notice Enable or disable approval for a third party ("operator") to manage
	 *      all of owner's assets - on behalf
	 *
	 * @dev Executes setApprovalForAll(_operator, _approved) on behalf of the owner
	 *      who EIP-712 signed the transaction, i.e. as if transaction sender is the EIP712 signer
	 *
	 * @dev Sets the `_operator` as the token operator for `_owner` tokens,
	 *      given `_owner` EIP-712 signed approval
	 *
	 * @dev Emits `ApprovalForAll` event in the same way as `setApprovalForAll` does
	 *
	 * @dev Requires:
	 *     - `_operator` to be non-zero address
	 *     - `_exp` to be a timestamp in the future
	 *     - `v`, `r` and `s` to be a valid `secp256k1` signature from `_owner`
	 *        over the EIP712-formatted function arguments.
	 *     - the signature to use `_owner` current nonce (see `permitNonces`).
	 *
	 * @dev For more information on the signature format, see the
	 *      https://eips.ethereum.org/EIPS/eip-2612#specification
	 *
	 * @param owner_ owner of the tokens to set approval on behalf of,
	 *      an address which signed the EIP-712 message
	 * @param operator_ an address to add to the set of authorized operators, i.e.
	 *      an address approved by the token owner to spend tokens on its behalf
	 * @param approved_ true if the operator is approved, false to revoke approval
	 * @param exp_ signature expiration time (unix timestamp)
	 * @param v the recovery byte of the signature
	 * @param r half of the ECDSA signature pair
	 * @param s half of the ECDSA signature pair
	 */
	function permitForAll(
		address owner_,
		address operator_,
		bool approved_,
		uint256 exp_,
		uint8 v,
		bytes32 r,
		bytes32 s
	) external {
		// derive signer of the EIP712 PermitForAll message, and
		// update the nonce for that particular signer to avoid replay attack!!! --------------------->>> ΓåôΓåôΓåôΓåôΓåôΓåôΓåôΓåôΓåôΓåôΓåôΓåôΓåôΓåôΓåôΓåôΓåôΓåôΓåôΓåôΓåôΓåô
		address signer = __deriveSigner(abi.encode(PERMIT_FOR_ALL_TYPEHASH, owner_, operator_, approved_, permitNonces[owner_]++, exp_), v, r, s);

		// perform message integrity and security validations
		require(signer == owner_, "invalid signature");
		require(block.timestamp < exp_, "signature expired");

		// delegate call to `__approve` - execute the logic required
		_setApprovalForAll(owner_, operator_, approved_);
	}

	// ===== End: Meta-transactions Support =====

	// ===== Start: ERC4907 mutative functions =====

	/**
	 * @dev Set the user and expires of an NFT
	 *
	 * @dev Requires executor to have `ROLE_USER_MANAGER` permission
	 *      or FEATURE_SET_USER/FEATURE_SET_USER_ON_BEHALF features to be enabled
	 *
	 * @dev Can be disabled by the contract creator forever by disabling
	 *      FEATURE_SET_USER/FEATURE_SET_USER_ON_BEHALF features and then revoking
	 *      its own roles to set token user
	 *
	 * @param tokenId_ ID of token to set user
	 * @param user_  address of user
	 * @param expires_ UNIX timestamp, The new user could use the NFT before expires
	 */
	function setUser(uint256 tokenId_, address user_, uint64 expires_) external {
        // read token owner data
		// verifies token exists under the hood
		address _from = ownerOf(tokenId_);
		
		// check if caller has sufficient permissions to set token user
		// and if not - check for possibility to set user for own tokens or to set user on behalf
		if(!isSenderInRole(ROLE_USER_MANAGER)) {
			// if `_from` is equal to sender, require set user feature to be enabled
			// otherwise require set user on behalf feature to be enabled
			require(_from == msg.sender && isFeatureEnabled(FEATURE_SET_USER)
			     || _from != msg.sender && isFeatureEnabled(FEATURE_SET_USER_ON_BEHALF),
			        _from == msg.sender? "set user is disabled": "set user on behalf is disabled");

			// verify sender is either token owner, or approved by the token owner to set user
			require(_from == msg.sender || msg.sender == getApproved(tokenId_) || isApprovedForAll(_from, msg.sender), "access denied");
		}
		
		// record the user address
		_users[tokenId_].user = user_;

		// record the expiry time
        _users[tokenId_].expires = expires_;

		// emit an event
        emit UpdateUser(tokenId_, user_, expires_);
    }

	// ===== End: ERC4907 mutative functions =====

	// ----- Start: auxiliary internal/private functions -----

	/**
	 * @dev Auxiliary function to verify structured EIP712 message signature and derive its signer
	 *
	 * @param abiEncodedTypehash abi.encode of the message typehash together with all its parameters
	 * @param v the recovery byte of the signature
	 * @param r half of the ECDSA signature pair
	 * @param s half of the ECDSA signature pair
	 */
	function __deriveSigner(bytes memory abiEncodedTypehash, uint8 v, bytes32 r, bytes32 s) private view returns(address) {
		// build the EIP-712 hashStruct of the message
		bytes32 hashStruct = keccak256(abiEncodedTypehash);

		// calculate the EIP-712 digest "\x19\x01" ΓÇû domainSeparator ΓÇû hashStruct(message)
		bytes32 digest = keccak256(abi.encodePacked("\x19\x01", DOMAIN_SEPARATOR, hashStruct));

		// recover the address which signed the message with v, r, s
		address signer = ECDSA.recover(digest, v, r, s);

		// return the signer address derived from the signature
		return signer;
	}

	/**
     * @dev See {ERC721-_beforeTokenTransfer}.
     */
	function _beforeTokenTransfer(
        address from,
        address to,
        uint256 tokenId,
		uint256 batchSize
    ) internal virtual override {
        super._beforeTokenTransfer(from, to, tokenId, batchSize);

		require(userOf(tokenId) == address(0), "token in use");
    }

	// ----- End: auxiliary internal/private functions -----
}