// File: GoatSoup.sol



// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

import "@openzeppelin/contracts/token/ERC721/ERC721.sol";
import "@openzeppelin/contracts/token/ERC721/extensions/ERC721Enumerable.sol";
import "@openzeppelin/contracts/access/Ownable.sol";
import "@openzeppelin/contracts/utils/cryptography/ECDSA.sol";
import "GoatLibrary.sol";

contract GoatSoup is ERC721, Ownable {
    using ECDSA for bytes32;

    uint256 private constant GS_PRICE = 0.08 ether;
    uint256 private constant GS_PRIVATE_MAX = 3500;
    uint256 private constant GS_SALE_MAX = 3744;
    uint256 private constant GS_AIRDROP = 100;
    address private constant GS_TEAM = 0xfa5d05Df712B059B74cCeFe4084785BE7f2ea1B8;

    mapping(string => bool) private _nonces;
    address private _signer = 0x818cDA2bA9CbC2dE202105E08dF37a26793f96A1;
    uint256 private _reserveCounter;
    uint256 private _presaleCounter;
    uint256 private _publicCounter;

    mapping(address => bool) public purchasedPresales;
    uint256 public currentSupply;
    bool public saleLive = false;
    bool public presaleLive = false;

    struct Attribute {
        string name;
        string attr_type;
        string svgPath;
        uint256 pixelCount;
    }

    mapping(uint256 => Attribute[]) _attributes;
    mapping(uint256 => uint256) _tokens;
    uint256 _nonce;

    constructor() ERC721("Goat Soup", "GSOUP") { }

    function verifyPublicMint(address sender, uint256 amount, string memory nonce, bytes memory signature) private view returns(bool) {
        bytes32 hash = keccak256(abi.encodePacked(sender, amount, nonce));
        return _signer == hash.recover(signature);
    }

    function verify(address sender, bytes memory signature) private view returns(bool) {
        bytes32 hash = keccak256(abi.encodePacked(sender));
        return _signer == hash.recover(signature);
    }
    
    function mint(uint256 amount, string memory nonce, bytes memory signature) external payable {
        require(saleLive, "NOT_RELEASED");
        require(totalSupply() < GS_SALE_MAX, "SOLD_OUT");
        require(amount <= 2, "MAX_PER_TX_SALE");
        require(!_nonces[nonce], "NONCE_USED");
        require(verifyPublicMint(msg.sender, amount, nonce, signature), "INVALID_TRANSACTION");
        require(_publicCounter + amount <= GS_SALE_MAX - _presaleCounter - GS_AIRDROP, "MAX_PUBLIC_SALE");
        require(msg.value * amount >= GS_PRICE, "INSUFFICIENT_ETH_SENT");
        
        _nonces[nonce] = true;
        _publicCounter += amount;
        for(uint256 i = 0; i < amount; i++) {
            internalMint(msg.sender);
        }
    }

    function presale(bytes memory signature) external payable {
        require(presaleLive, "NOT_RELEASED");
        require(totalSupply() < GS_SALE_MAX, "SOLD_OUT");
        require(_presaleCounter < GS_PRIVATE_MAX, "MAX_PRIVATE_SALE");
        require(!purchasedPresales[msg.sender], "MAX_PER_PRESALE");
        require(verify(msg.sender, signature), "INVALID_TRANSACTION");
        require(msg.value >= GS_PRICE, "INSUFFICIENT_ETH_SENT");

        purchasedPresales[msg.sender] = true;
        _presaleCounter++;
        internalMint(msg.sender);
    }

    function reserveGoatSoup(address[] calldata _receivers) external onlyOwner {   
        require(totalSupply() + _receivers.length <= GS_SALE_MAX);
        _reserveCounter += _receivers.length;
        require(_reserveCounter <= GS_AIRDROP);  

        for (uint256 i = 0; i < _receivers.length; i++) {
            internalMint(_receivers[i]);
        }
    }

    function internalMint(address destination) internal {
        _tokens[currentSupply] = _generateAttributeSet(currentSupply, destination);
        _mint(destination, currentSupply);
        currentSupply++;
    }

    function flipSaleState() external onlyOwner {
        saleLive = !saleLive;
    }

    function flipPresaleState() external onlyOwner {
        presaleLive = !presaleLive;
    }

    function setSignerAddress(address newSigner) external onlyOwner {
        _signer = newSigner;
    }

    function withdraw() external onlyOwner {
        payable(GS_TEAM).transfer(address(this).balance);
    }
    
    function totalSupply() public view returns (uint) {
        return currentSupply;
    }

    function tokensOfOwner(address _owner, uint startId, uint endId) external view returns(uint256[] memory ) {
        uint256 tokenCount = balanceOf(_owner);
        if (tokenCount == 0) {
            return new uint256[](0);
        } else {
            uint256[] memory result = new uint256[](tokenCount);
            uint256 index = 0;

            for (uint256 tokenId = startId; tokenId < endId; tokenId++) {
                if (index == tokenCount) break;

                if (ownerOf(tokenId) == _owner) {
                    result[index] = tokenId;
                    index++;
                }
            }

            return result;
        }
    }
    
    function _generateAttributeSet(uint256 _tokenId, address _sender) internal returns(uint256) {
        _nonce++;
        uint256 rndNumber = uint256(keccak256(abi.encodePacked(block.difficulty, block.timestamp, _tokenId, _sender, _nonce)));

        uint256 hash = GoatLibrary.selectTraitSoup(rndNumber % 100);
        rndNumber >>= 12;
        hash |= GoatLibrary.selectTraitBowl(rndNumber % 100) << 8;
        rndNumber >>= 12;
        hash |= GoatLibrary.selectTraitFur(rndNumber % 100) << 16;
        rndNumber >>= 12;
        hash |= GoatLibrary.selectTraitTeeth(rndNumber % 100) << 24;
        rndNumber >>= 12;
        hash |= GoatLibrary.selectTraitHorns(rndNumber % 100) << 32;
        rndNumber >>= 12;
        hash |= GoatLibrary.selectTraitHats(rndNumber % 100) << 40;
        rndNumber >>= 12;
        hash |= GoatLibrary.selectTraitEyes(rndNumber % 100) << 48;

        return hash;
    }
    
    // credits to Anoynmice Mouse Dev for the inspiration of the SVG generation and compression algorithm
    // which is an MIT licensed contract
    function _generateSvg(uint256 _traitSet) internal view returns(string memory) {
        string memory svg;

        for(uint256 i = 0; i < 7; i++) {
            uint256 idx = _traitSet & 0xff;
            
            for(uint256 p = 0; p < _attributes[i][idx].pixelCount; p++) {
                string memory data = GoatLibrary.substring(_attributes[i][idx].svgPath, p * 5, p * 5 + 5);
                uint8 x = uint8(bytes(data)[0]) - 97;
                uint8 y = uint8(bytes(data)[1]) - 97;
                                
                svg = string(abi.encodePacked(
                        svg,"<rect class='g",GoatLibrary.substring(data, 2, 5),"' x='", GoatLibrary.toString(x),"' y='",GoatLibrary.toString(y),"'/>"
                    )
                );
            }

            _traitSet >>= 8;
        }
        
        svg = string(abi.encodePacked(
                "<svg id='gs' xmlns='http://www.w3.org/2000/svg' preserveAspectRatio='xMinYMin meet' viewBox='0 0 24 24'>",
                svg,
                "<style>#gs{shape-rendering: crispedges;}rect{width:1px;height:1px;}.g100{fill:#000000}.g101{fill:#313131}.g102{fill:#252525}.g103{fill:#414040}.g104{fill:#4D4D4D}.g105{fill:#363636}.g106{fill:#003471}.g107{fill:#004A80}.g108{fill:#005E20}.g109{fill:#74A33E}.g110{fill:#6A9736}.g111{fill:#0054A6}.g112{fill:#598527}.g113{fill:#ABA000}.g114{fill:#CFBA5D}.g115{fill:#E8D782}.g116{fill:#E5D685}.g117{fill:#E0CE78}.g118{fill:#D7C264}.g119{fill:#C1AC50}.g120{fill:#DBC86D}.g121{fill:#D4BE5D}.g122{fill:#CCCCCC}.g123{fill:#FFFFFF}.g124{fill:#EBEBEB}.g125{fill:#C4393C}.g126{fill:#D14448}.g127{fill:#BC282C}.g128{fill:#B1191D}.g129{fill:#2C2422}.g130{fill:#6D6A6A}.g131{fill:#603913}.g132{fill:#593008}.g133{fill:#B5B5B5}.g134{fill:#563310}.g135{fill:#683F18}.g136{fill:#5C330B}.g137{fill:#5B3511}.g138{fill:#197B30}.g139{fill:#D7CC03}.g140{fill:#FFF200}.g141{fill:#8B3E0E}.g142{fill:#A34E19}.g143{fill:#D7640C}.g144{fill:#BD5717}.g145{fill:#2075A8}.g146{fill:#5F99BB}.g147{fill:#4D463E}.g148{fill:#F33C43}.g149{fill:#0E5024}.g150{fill:#5D981A}.g151{fill:#0C5D28}.g152{fill:#824E1C}.g153{fill:#C69C6D}.g154{fill:#362F2D}.g155{fill:#A67C52}.g156{fill:#F8F8F8}.g157{fill:#111111}.g158{fill:#636363}.g159{fill:#827C53}.g160{fill:#2F2D1E}.g161{fill:#00FFFF}.g162{fill:#27E5E5}.g163{fill:#2E3192}.g164{fill:#E60009}.g165{fill:#ED1C24}.g166{fill:#F6F6F6}.g167{fill:#08FFF4}.g168{fill:#00E4DA}.g169{fill:#6DCFF6}.g170{fill:#EFAE20}.g171{fill:#F8D00F}.g172{fill:#ECB223}.g173{fill:#F2B423}.g174{fill:#F7CE12}.g175{fill:#F7CF0D}.g176{fill:#F5BC13}.g177{fill:#F6CB0D}.g178{fill:#FBBA1E}.g179{fill:#F5CC10}.g180{fill:#F8D00E}.g181{fill:#F3BC1B}.g182{fill:#F6CD0F}.g183{fill:#FBBB1B}.g184{fill:#F9CD12}.g185{fill:#F6BA1B}.g186{fill:#F6C90E}.g187{fill:#EEAD1D}.g188{fill:#F7CB12}.g189{fill:#EBAC1F}.g190{fill:#ECAA16}.g191{fill:#F7C614}.g192{fill:#F0B31A}.g193{fill:#EDAE23}.g194{fill:#F2AD21}.g195{fill:#F3B71B}.g196{fill:#F3BF14}.g197{fill:#E4A12E}.g198{fill:#E5A124}.g199{fill:#EAA621}.g200{fill:#F4B51C}.g201{fill:#F5B619}.g202{fill:#F2B21C}.g203{fill:#F6B71C}.g204{fill:#FFFF00}.g205{fill:#03A600}.g206{fill:#A6001C}.g207{fill:#A1B92F}.g208{fill:#B2813E}.g209{fill:#BB9F4B}.g210{fill:#FCF8FF}.g211{fill:#5D8429}.g212{fill:#6E930F}.g213{fill:#E9EBB9}.g214{fill:#B59854}.g215{fill:#C4994B}.g216{fill:#69A22D}.g217{fill:#7EA21A}.g218{fill:#CAE4A7}.g219{fill:#779A18}.g220{fill:#B2CC09}.g221{fill:#C4EA32}.g222{fill:#7C9F0D}.g223{fill:#C1D224}.g224{fill:#A2CA1C}.g225{fill:#947235}.g226{fill:#906D29}.g227{fill:#6EA21A}.g228{fill:#EBF6D4}.g229{fill:#8AB510}.g230{fill:#8C692F}.g231{fill:#8B6A34}.g232{fill:#86B62E}.g233{fill:#8D9F3B}.g234{fill:#6FA11E}.g235{fill:#F6FBF4}.g236{fill:#FFFFFA}.g237{fill:#D7EFA1}.g238{fill:#F49AC1}.g239{fill:#F06EAA}.g240{fill:#FDBED9}.g241{fill:#F3438F}.g242{fill:#FBD1E3}.g243{fill:#B9006E}.g244{fill:#1A1A18}.g245{fill:#E01313}.g246{fill:#B7B7B7}.g247{fill:#C92121}.g248{fill:#FF0000}.g249{fill:#FF4747}.g250{fill:#6D3703}.g251{fill:#763B02}.g252{fill:#81450B}.g253{fill:#6D3907}.g254{fill:#99724A}.g255{fill:#894C11}.g256{fill:#8C6239}.g257{fill:#592D00}.g258{fill:#9B4E00}.g259{fill:#B47A40}.g260{fill:#261300}.g261{fill:#F9FB96}.g262{fill:#5674B9}.g263{fill:#7DA7D9}.g264{fill:#B5D3F6}.g265{fill:#F26522}.g266{fill:#D65A20}.g267{fill:#8A8A8A}.g268{fill:#8E8E8E}.g269{fill:#ACA49E}.g270{fill:#8560A8}.g271{fill:#F26C4F}.g272{fill:#007236}.g273{fill:#00A651}.g274{fill:#616161}.g275{fill:#BE8053}.g276{fill:#575656}.g277{fill:#A87046}.g278{fill:#302F2F}.g279{fill:#679CF1}.g280{fill:#3C81F0}.g281{fill:#26518F}.g282{fill:#CEB858}.g283{fill:#D6C162}.g284{fill:#EDE198}.g285{fill:#E9DC8E}.g286{fill:#E1D07B}.g287{fill:#D9C569}.g288{fill:#F3EBA7}.g289{fill:#F0E6A0}.g290{fill:#DDCA72}.g291{fill:#F5EEAC}.g292{fill:#BFBCBC}.g293{fill:#ACACAC}.g294{fill:#D7D7D7}.g295{fill:#7FFEA1}.g296{fill:#0FFF50}.g297{fill:#64FB8D}.g298{fill:#FD48AB}.g299{fill:#FF1494}.g300{fill:#980F5A}.g301{fill:#F1A367}.g302{fill:#F08B3C}.g303{fill:#8F5526}.g304{fill:#BB77E2}.g305{fill:#AA51DC}.g306{fill:#643283}.g307{fill:#8E11BF}.g308{fill:#B32DE8}.g309{fill:#F13655}.g310{fill:#BF1330}.g311{fill:#00BFF3}.g312{fill:#069AC3}.g313{fill:#B1462E}.g314{fill:#3CB878}.g315{fill:#0D9951}.g316{fill:#DCD331}.g317{fill:#BBD8A8}.g318{fill:#F26D7D}.g319{fill:#9E0B0F}.g320{fill:#9B5D2F}.g321{fill:#CD0C12}.g322{fill:#FCE695}.g323{fill:#C7945B}.g324{fill:#E9C364}.g325{fill:#F6ED5C}.g326{fill:#754C24}.g327{fill:#CDA0DE}.g328{fill:#E7BAF8}.g329{fill:#DDB2ED}.g330{fill:#AE7C4B}.g331{fill:#E1AEF5}.g332{fill:#CDA3DD}.g333{fill:#E3B5F5}.g334{fill:#E8BFF9}.g335{fill:#BE92D0}.g336{fill:#720F0F}.g337{fill:#1C84C8}.g338{fill:#FBFBFB}.g339{fill:#4DC0B8}.g340{fill:#F7941D}.g341{fill:#FECB4B}.g342{fill:#65D7CF}.g343{fill:#DCA825}.g344{fill:#5C5354}.g345{fill:#FFD8AD}.g346{fill:#C8C9CB}.g347{fill:#706C6D}.g348{fill:#38F152}.g349{fill:#636161}.g350{fill:#A7A7A7}.g351{fill:#AA7147}.g352{fill:#FF5900}.g353{fill:#7A0026}.g354{fill:#7A1010}.g355{fill:#7A2910}.g356{fill:#FF5300}.g357{fill:#E9D837}.g358{fill:#39B54A}.g359{fill:#FFF596}.g360{fill:#FDC689}.g361{fill:#685647}.g362{fill:#C79672}.g363{fill:#9EFAB6}.g364{fill:#4CFB7C}.g365{fill:#CB67FC}.g366{fill:#DA92FE}.g367{fill:#343434}.g368{fill:#BB33FF}.g369{fill:#F9F9F9}.g370{fill:#ACB8B7}.g371{fill:#E58A1D}.g372{fill:#B6714B}.g373{fill:#E0BF6C}.g374{fill:#A67DBD}.g375{fill:#7B2E00}.g376{fill:#A0410D}.g377{fill:#EDE10C}.g378{fill:#BD8CBF}.g379{fill:#2CF222}</style></svg>"
            )
        );
        
        return svg;
    }

    // credits to Anoynmice Mouse Dev for the implementation of the trait set conversion to OpenSea metadata JSON format,
    // which is an MIT licensed contract
    function hashToMetadata(uint256 _traitSet) internal view returns (string memory) {
        string memory metadataString;

        for (uint8 i = 0; i < 7; i++) {
            uint256 idx = _traitSet & 0xff;

            metadataString = string(abi.encodePacked(metadataString,'{"trait_type":"',_attributes[i][idx].attr_type,'","value":"',_attributes[i][idx].name,'"}'));
            
            if (i != 6)
                metadataString = string(abi.encodePacked(metadataString, ","));
            
            _traitSet >>= 8;
        }

        return string(abi.encodePacked("[", metadataString, "]"));
    }
    
    function tokenURI(uint256 _id) public view override returns (string memory) {
        require(_exists(_id), "TOKEN_DOES_NOT_EXIST");
        
        uint256 hash = _tokens[_id];
        
        return
            string(
                abi.encodePacked(
                    "data:application/json;base64,",
                    GoatLibrary.encode(
                        bytes(
                            string(
                                abi.encodePacked(
                                    '{"name": "Goat Soup #',
                                    GoatLibrary.toString(_id),
                                    '", "description": "Goat Soup genesis collection is a fully on chain NFT series of 3,744. All the metadata and images are generated and stored 100% on-chain.", "image": "data:image/svg+xml;base64,',
                                    GoatLibrary.encode(
                                        bytes(_generateSvg(hash))
                                    ),
                                    '","attributes":',
                                        hashToMetadata(hash),
                                    "}"
                                )
                            )
                        )
                    )
                )
            );
    }
    
    function clearAttributes() external onlyOwner {
        for(uint8 i = 0; i < 7; i++) {
            delete _attributes[i];
        }
    }
    
    function addAttributes(uint _attributeIndex, Attribute[] memory attributes) external onlyOwner {
        for(uint8 i = 0; i < attributes.length; i++) {
            _attributes[_attributeIndex].push(
                Attribute(
                    attributes[i].name,
                    attributes[i].attr_type,
                    attributes[i].svgPath,
                    attributes[i].pixelCount
                )
            );
        }
    }
}
// File: GoatLibrary.sol



// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

library GoatLibrary {
    // Provides a function for encoding some bytes in base64
    // By Brecht Devos <brecht@loopring.org>
    string internal constant TABLE = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/";
    
    function encode(bytes memory data) internal pure returns (string memory) {
        if (data.length == 0) return "";

        // load the table into memory
        string memory table = TABLE;

        // multiply by 4/3 rounded up
        uint256 encodedLen = 4 * ((data.length + 2) / 3);

        // add some extra buffer at the end required for the writing
        string memory result = new string(encodedLen + 32);

        assembly {
            // set the actual output length
            mstore(result, encodedLen)

            // prepare the lookup table
            let tablePtr := add(table, 1)

            // input ptr
            let dataPtr := data
            let endPtr := add(dataPtr, mload(data))

            // result ptr, jump over length
            let resultPtr := add(result, 32)

            // run over the input, 3 bytes at a time
            for {

            } lt(dataPtr, endPtr) {

            } {
                dataPtr := add(dataPtr, 3)

                // read 3 bytes
                let input := mload(dataPtr)

                // write 4 characters
                mstore(
                    resultPtr,
                    shl(248, mload(add(tablePtr, and(shr(18, input), 0x3F))))
                )
                resultPtr := add(resultPtr, 1)
                mstore(
                    resultPtr,
                    shl(248, mload(add(tablePtr, and(shr(12, input), 0x3F))))
                )
                resultPtr := add(resultPtr, 1)
                mstore(
                    resultPtr,
                    shl(248, mload(add(tablePtr, and(shr(6, input), 0x3F))))
                )
                resultPtr := add(resultPtr, 1)
                mstore(
                    resultPtr,
                    shl(248, mload(add(tablePtr, and(input, 0x3F))))
                )
                resultPtr := add(resultPtr, 1)
            }

            // padding with '='
            switch mod(mload(data), 3)
            case 1 {
                mstore(sub(resultPtr, 2), shl(240, 0x3d3d))
            }
            case 2 {
                mstore(sub(resultPtr, 1), shl(248, 0x3d))
            }
        }

        return result;
    }

    function parseInt(string memory _a) internal pure returns (uint8 _parsedInt) {
        bytes memory bresult = bytes(_a);
        uint8 minty = 0;
        for (uint8 i = 0; i < bresult.length; i++) {
            if (
                (uint8(uint8(bresult[i])) >= 48) &&
                (uint8(uint8(bresult[i])) <= 57)
            ) {
                minty *= 10;
                minty += uint8(bresult[i]) - 48;
            }
        }
        return minty;
    }

    function substring(string memory str, uint startIndex, uint endIndex) internal pure returns (string memory) {
        bytes memory strBytes = bytes(str);
        bytes memory result = new bytes(endIndex-startIndex);
        for(uint i = startIndex; i < endIndex; i++) {
            result[i-startIndex] = strBytes[i];
        }
        return string(result);
    }
    
    function toString(uint256 value) internal pure returns (string memory) {
        // Inspired by OraclizeAPI's implementation - MIT licence
        // https://github.com/oraclize/ethereum-api/blob/b42146b063c7d6ee1358846c198246239e9360e8/oraclizeAPI_0.4.25.sol

        if (value == 0) {
            return "0";
        }
        uint256 temp = value;
        uint256 digits;
        while (temp != 0) {
            digits++;
            temp /= 10;
        }
        bytes memory buffer = new bytes(digits);
        while (value != 0) {
            digits -= 1;
            buffer[digits] = bytes1(uint8(48 + uint256(value % 10)));
            value /= 10;
        }
        return string(buffer);
    }

    function selectTraitSoup(uint256 _rnd) internal pure returns(uint256) {
        if(_rnd < 2) { return 0; }
        if(_rnd < 6) { return 1; }
        if(_rnd < 11) { return 2; }
        if(_rnd < 18) { return 3; }
        if(_rnd < 26) { return 4; }
        if(_rnd < 34) { return 5; }
        if(_rnd < 42) { return 6; }
        if(_rnd < 52) { return 7; }
        if(_rnd < 65) { return 8; }
        if(_rnd < 80) { return 9; }
        return 10;
    }

    function selectTraitBowl(uint256 _rnd) internal pure returns(uint256) {
        if(_rnd < 2) { return 0; }
        if(_rnd < 6) { return 1; }
        if(_rnd < 11) { return 2; }
        if(_rnd < 18) { return 3; }
        if(_rnd < 25) { return 4; }
        if(_rnd < 33) { return 5; }
        if(_rnd < 42) { return 6; }
        if(_rnd < 52) { return 7; }
        if(_rnd < 64) { return 8; }
        return 9;
    }

    function selectTraitFur(uint256 _rnd) internal pure returns(uint256) {
        if(_rnd < 2) { return 0; }
        if(_rnd < 5) { return 1; }
        if(_rnd < 9) { return 2; }
        if(_rnd < 14) { return 3; }
        if(_rnd < 24) { return 4; }
        if(_rnd < 34) { return 5; }
        if(_rnd < 50) { return 6; }
        if(_rnd < 70) { return 7; }
        return 8;
    }

    function selectTraitTeeth(uint256 _rnd) internal pure returns(uint256) {
        if(_rnd < 2) { return 0; }
        if(_rnd < 7) { return 1; }
        if(_rnd < 17) { return 2; }
        if(_rnd < 35) { return 3; }
        if(_rnd < 60) { return 4; }
        return 5;
    }

    function selectTraitHorns(uint256 _rnd) internal pure returns(uint256) {
        if(_rnd < 5) { return 0; }
        if(_rnd < 15) { return 1; }
        if(_rnd < 50) { return 2; }
        return 3;
    }

    function selectTraitHats(uint256 _rnd) internal pure returns(uint256) {
        if(_rnd < 1) { return 0; }
        if(_rnd < 3) { return 1; }
        if(_rnd < 6) { return 2; }
        if(_rnd < 9) { return 3; }
        if(_rnd < 15) { return 4; }
        if(_rnd < 22) { return 5; }
        if(_rnd < 29) { return 6; }
        if(_rnd < 38) { return 7; }
        if(_rnd < 48) { return 8; }
        if(_rnd < 59) { return 9; }
        return 10;
    }
    
    function selectTraitEyes(uint256 _rnd) internal pure returns(uint256) {
        if(_rnd < 1) { return 0; }
        if(_rnd < 3) { return 1; }
        if(_rnd < 6) { return 2; }
        if(_rnd < 11) { return 3; }
        if(_rnd < 19) { return 4; }
        if(_rnd < 31) { return 5; }
        if(_rnd < 49) { return 6; }
        if(_rnd < 72) { return 7; }
        return 8;
    }
}
// File: @openzeppelin/contracts/utils/cryptography/ECDSA.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.0 (utils/cryptography/ECDSA.sol)

pragma solidity ^0.8.0;

import "../Strings.sol";

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

    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");
        } else if (error == RecoverError.InvalidSignatureV) {
            revert("ECDSA: invalid signature 'v' 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) {
        // Check the signature length
        // - case 65: r,s,v signature (standard)
        // - case 64: r,vs signature (cf https://eips.ethereum.org/EIPS/eip-2098) _Available since v4.1._
        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.
            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 if (signature.length == 64) {
            bytes32 r;
            bytes32 vs;
            // ecrecover takes the signature parameters, and the only way to get them
            // currently is to use assembly.
            assembly {
                r := mload(add(signature, 0x20))
                vs := mload(add(signature, 0x40))
            }
            return tryRecover(hash, r, vs);
        } 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;
        uint8 v;
        assembly {
            s := and(vs, 0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff)
            v := add(shr(255, vs), 27)
        }
        return tryRecover(hash, v, r, s);
    }

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

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

        // 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: @openzeppelin/contracts/access/Ownable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.0 (access/Ownable.sol)

pragma solidity ^0.8.0;

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

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

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

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

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

    /**
     * @dev Throws if called by any account other than the owner.
     */
    modifier onlyOwner() {
        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/token/ERC721/extensions/ERC721Enumerable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.0 (token/ERC721/extensions/ERC721Enumerable.sol)

pragma solidity ^0.8.0;

import "../ERC721.sol";
import "./IERC721Enumerable.sol";

/**
 * @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 Hook that is called before any token transfer. This includes minting
     * and burning.
     *
     * Calling conditions:
     *
     * - When `from` and `to` are both non-zero, ``from``'s `tokenId` will be
     * transferred to `to`.
     * - When `from` is zero, `tokenId` will be minted for `to`.
     * - When `to` is zero, ``from``'s `tokenId` will be burned.
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _beforeTokenTransfer(
        address from,
        address to,
        uint256 tokenId
    ) internal virtual override {
        super._beforeTokenTransfer(from, to, tokenId);

        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/token/ERC721/ERC721.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.0 (token/ERC721/ERC721.sol)

pragma solidity ^0.8.0;

import "./IERC721.sol";
import "./IERC721Receiver.sol";
import "./extensions/IERC721Metadata.sol";
import "../../utils/Address.sol";
import "../../utils/Context.sol";
import "../../utils/Strings.sol";
import "../../utils/introspection/ERC165.sol";

/**
 * @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: balance query for the zero address");
        return _balances[owner];
    }

    /**
     * @dev See {IERC721-ownerOf}.
     */
    function ownerOf(uint256 tokenId) public view virtual override returns (address) {
        address owner = _owners[tokenId];
        require(owner != address(0), "ERC721: owner query for nonexistent token");
        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) {
        require(_exists(tokenId), "ERC721Metadata: URI query for nonexistent token");

        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 overriden 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 owner nor approved for all"
        );

        _approve(to, tokenId);
    }

    /**
     * @dev See {IERC721-getApproved}.
     */
    function getApproved(uint256 tokenId) public view virtual override returns (address) {
        require(_exists(tokenId), "ERC721: approved query for nonexistent token");

        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: transfer caller is not owner nor 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: transfer caller is not owner nor 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 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 _owners[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) {
        require(_exists(tokenId), "ERC721: operator query for nonexistent token");
        address owner = ERC721.ownerOf(tokenId);
        return (spender == owner || getApproved(tokenId) == spender || isApprovedForAll(owner, 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);

        _balances[to] += 1;
        _owners[tokenId] = to;

        emit Transfer(address(0), to, tokenId);
    }

    /**
     * @dev Destroys `tokenId`.
     * The approval is cleared when the token is burned.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     *
     * Emits a {Transfer} event.
     */
    function _burn(uint256 tokenId) internal virtual {
        address owner = ERC721.ownerOf(tokenId);

        _beforeTokenTransfer(owner, address(0), tokenId);

        // Clear approvals
        _approve(address(0), tokenId);

        _balances[owner] -= 1;
        delete _owners[tokenId];

        emit Transfer(owner, address(0), tokenId);
    }

    /**
     * @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 of token that is not own");
        require(to != address(0), "ERC721: transfer to the zero address");

        _beforeTokenTransfer(from, to, tokenId);

        // Clear approvals from the previous owner
        _approve(address(0), tokenId);

        _balances[from] -= 1;
        _balances[to] += 1;
        _owners[tokenId] = to;

        emit Transfer(from, to, tokenId);
    }

    /**
     * @dev Approve `to` to operate on `tokenId`
     *
     * Emits a {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 a {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 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 {
                    assembly {
                        revert(add(32, reason), mload(reason))
                    }
                }
            }
        } else {
            return true;
        }
    }

    /**
     * @dev Hook that is called before any token transfer. This includes minting
     * and burning.
     *
     * Calling conditions:
     *
     * - When `from` and `to` are both non-zero, ``from``'s `tokenId` will be
     * transferred to `to`.
     * - When `from` is zero, `tokenId` will be minted for `to`.
     * - When `to` is zero, ``from``'s `tokenId` will be burned.
     * - `from` and `to` are never both zero.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _beforeTokenTransfer(
        address from,
        address to,
        uint256 tokenId
    ) internal virtual {}
}

// File: @openzeppelin/contracts/utils/Strings.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.0 (utils/Strings.sol)

pragma solidity ^0.8.0;

/**
 * @dev String operations.
 */
library Strings {
    bytes16 private constant _HEX_SYMBOLS = "0123456789abcdef";

    /**
     * @dev Converts a `uint256` to its ASCII `string` decimal representation.
     */
    function toString(uint256 value) internal pure returns (string memory) {
        // Inspired by OraclizeAPI's implementation - MIT licence
        // https://github.com/oraclize/ethereum-api/blob/b42146b063c7d6ee1358846c198246239e9360e8/oraclizeAPI_0.4.25.sol

        if (value == 0) {
            return "0";
        }
        uint256 temp = value;
        uint256 digits;
        while (temp != 0) {
            digits++;
            temp /= 10;
        }
        bytes memory buffer = new bytes(digits);
        while (value != 0) {
            digits -= 1;
            buffer[digits] = bytes1(uint8(48 + uint256(value % 10)));
            value /= 10;
        }
        return string(buffer);
    }

    /**
     * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation.
     */
    function toHexString(uint256 value) internal pure returns (string memory) {
        if (value == 0) {
            return "0x00";
        }
        uint256 temp = value;
        uint256 length = 0;
        while (temp != 0) {
            length++;
            temp >>= 8;
        }
        return toHexString(value, length);
    }

    /**
     * @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] = _HEX_SYMBOLS[value & 0xf];
            value >>= 4;
        }
        require(value == 0, "Strings: hex length insufficient");
        return string(buffer);
    }
}

// File: @openzeppelin/contracts/token/ERC721/extensions/IERC721Enumerable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.0 (token/ERC721/extensions/IERC721Enumerable.sol)

pragma solidity ^0.8.0;

import "../IERC721.sol";

/**
 * @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 tokenId);

    /**
     * @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/utils/introspection/ERC165.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.0 (utils/introspection/ERC165.sol)

pragma solidity ^0.8.0;

import "./IERC165.sol";

/**
 * @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/utils/Context.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.0 (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/Address.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.0 (utils/Address.sol)

pragma solidity ^0.8.0;

/**
 * @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
     * ====
     */
    function isContract(address account) internal view returns (bool) {
        // This method relies on extcodesize, which returns 0 for contracts in
        // construction, since the code is only stored at the end of the
        // constructor execution.

        uint256 size;
        assembly {
            size := extcodesize(account)
        }
        return size > 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 functionCall(target, data, "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");
        require(isContract(target), "Address: call to non-contract");

        (bool success, bytes memory returndata) = target.call{value: value}(data);
        return verifyCallResult(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) {
        require(isContract(target), "Address: static call to non-contract");

        (bool success, bytes memory returndata) = target.staticcall(data);
        return verifyCallResult(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) {
        require(isContract(target), "Address: delegate call to non-contract");

        (bool success, bytes memory returndata) = target.delegatecall(data);
        return verifyCallResult(success, returndata, errorMessage);
    }

    /**
     * @dev Tool to verifies that a low level call was successful, and revert if it wasn't, either by bubbling the
     * revert reason 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 {
            // 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

                assembly {
                    let returndata_size := mload(returndata)
                    revert(add(32, returndata), returndata_size)
                }
            } else {
                revert(errorMessage);
            }
        }
    }
}

// File: @openzeppelin/contracts/token/ERC721/extensions/IERC721Metadata.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.0 (token/ERC721/extensions/IERC721Metadata.sol)

pragma solidity ^0.8.0;

import "../IERC721.sol";

/**
 * @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/token/ERC721/IERC721Receiver.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.0 (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 `IERC721.onERC721Received.selector`.
     */
    function onERC721Received(
        address operator,
        address from,
        uint256 tokenId,
        bytes calldata data
    ) external returns (bytes4);
}

// File: @openzeppelin/contracts/token/ERC721/IERC721.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.0 (token/ERC721/IERC721.sol)

pragma solidity ^0.8.0;

import "../../utils/introspection/IERC165.sol";

/**
 * @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`, 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 be 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: Usage of this method is discouraged, use {safeTransferFrom} whenever possible.
     *
     * 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 Returns the account approved for `tokenId` token.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     */
    function getApproved(uint256 tokenId) external view returns (address operator);

    /**
     * @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 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);

    /**
     * @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;
}

// File: @openzeppelin/contracts/utils/introspection/IERC165.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.0 (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);
}