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Contract Name:
DegenerativeGames

Contract Source Code:

// SPDX-License-Identifier: MIT
pragma solidity ^0.8.21;

import { ERC721A } from "erc721a/contracts/ERC721A.sol";
import { Ownable } from "@openzeppelin/contracts/access/Ownable.sol";
import "./IAutoglyphs.sol";
import './Utils.sol';
import "./Array.sol";
import "./Base64.sol";


/*
@title  DegenerativeGames
@author @marka_eth
*/

contract DegenerativeGames is ERC721A, Ownable {

    IAutoglyphs public glyphs = IAutoglyphs(0xd4e4078ca3495DE5B1d4dB434BEbc5a986197782);

    uint public price = 0.083 ether;
   
    uint256 public constant MAX_SUPPLY = 512;
    uint256 public constant Total_Lifetime_Blocks = 216290735; 
    uint256 internal constant Initial_Cells = 4318;
    uint256 internal constant Cells_To_Ignore = 30;
    uint256 internal constant Reduced_Cells = Initial_Cells - Cells_To_Ignore; 
    string internal constant _THANKYOUCONWAY = "class Game{#e=[];#t=[];#s=!0;constructor(e){this.canvas=e,this.board=new Board(this.canvas),this.board.drawBackground(),this.launch=this.launch.bind(this),this.initBrowserEvents()}launch(){if(this.board.drawBackground(),0===this.#e.length&&this.firstGeneration(),this.#s)for(let e=0;e<this.board.size.cellNumberX;e++)for(let t=0;t<this.board.size.cellNumberY;t++)this.#e[e][t].draw();else{const e=this.serializeState();this.#t.includes(e)?(console.log('Generations:',loopCounter),this.#s=!this.#s):(loopCounter++,2===this.#t.length&&this.#t.shift(),this.#t.push(e));for(let e=0;e<this.board.size.cellNumberX;e++)for(let t=0;t<this.board.size.cellNumberY;t++)this.setCellNeighborsByCoords(e,t);for(let e=0;e<this.board.size.cellNumberX;e++)for(let t=0;t<this.board.size.cellNumberY;t++)this.#e[e][t].next()}setTimeout((()=>{requestAnimationFrame(this.launch)}),CELL_SPEED)}serializeState(){return this.#e.map((e=>e.map((e=>e.alive?'1':'0')).join(''))).join('|')}firstGeneration(){this.board.drawBackground();for(let e=0;e<this.board.size.cellNumberX;e++){this.#e[e]=[];for(let t=0;t<this.board.size.cellNumberY;t++)this.#e[e][t]=new Cell(this.board.context,e,t,this.board.size.cellSize),this.#e[e][t].alive=0,this.#e[e][t].draw()}}setCellNeighborsByCoords(e,t){let s=0;const i=[[e,t+1],[e,t-1],[e+1,t],[e-1,t],[e+1,t+1],[e-1,t-1],[e+1,t-1],[e-1,t+1]];for(const e of i){let[t,i]=e;t<0&&(t=this.board.size.cellNumberX-1),t>=this.board.size.cellNumberX&&(t=0),i<0&&(i=this.board.size.cellNumberY-1),i>=this.board.size.cellNumberY&&(i=0),this.#e[t]?.[i]?.alive&&s++}this.#e[e][t].neighbors=s}drawFromFlatArray(e){for(let t=0;t<4096;t++){let s=Math.floor(t/64)+CELL_PADDING,i=t%64+CELL_PADDING;1===e[t]&&(this.#e[i][s].alive=!0),this.#e[i][s].draw()}}stop(){loopCounter=0,CELL_SPEED=100,this.#s=!0;for(let e=0;e<this.board.size.cellNumberX;e++)for(let t=0;t<this.board.size.cellNumberY;t++)this.#e[e][t].alive=0;game.drawFromFlatArray(flatArray)}initBrowserEvents(){addEventListener('keypress',(({code:e})=>{switch(e){case'Space':case'KeyP':this.#s=!this.#s;break;case'KeyN':this.stop();break;case'KeyW':CELL_SPEED>20&&(CELL_SPEED-=20);break;case'KeyS':CELL_SPEED<1e3&&(CELL_SPEED+=20);break;case'KeyE':window.location.href=canvas.toDataURL('image/png').replace('image/png','image/octet-stream')}})),this.canvas.addEventListener('click',(()=>{this.#s=!this.#s}))}}class Board{#i=BOARD_WIDTH+2*BOARD_PADDING;#l=BOARD_HEIGHT+2*BOARD_PADDING;#a=DEFAULT_CELL_SIZE;#r='#000';constructor(e){this.canvas=e,this.ctx=this.canvas.getContext('2d'),this.canvas.width=this.#i,this.canvas.height=this.#l}drawBackground(){this.ctx.fillStyle=this.#r,this.ctx.fillRect(0,0,this.#i,this.#l)}get size(){return{cellNumberX:Math.ceil(this.#i/this.#a),cellNumberY:Math.ceil(this.#l/this.#a),cellSize:this.#a}}get context(){return this.ctx}}class Cell{#h=!0;#o=0;#c='#fff';constructor(e,t,s,i){this.ctx=e,this.x=t,this.y=s,this.cellSize=i}next(){this.#h||3!==this.#o?this.#h=this.#h&&(2===this.#o||3===this.#o):this.#h=!0,this.draw()}draw(){this.#h&&(this.ctx.fillStyle=this.#c,this.ctx.fillRect(...this.position))}get position(){return[this.x*this.cellSize,this.y*this.cellSize,this.cellSize,this.cellSize]}set alive(e){this.#h=e}get alive(){return this.#h}set neighbors(e){this.#o=e}}const canvas=document.getElementById('g'),SIZE_FACTOR=4,BOARD_WIDTH=2048,BOARD_HEIGHT=2048,BOARD_PADDING=384;let loopCounter=0;const DEFAULT_CELL_SIZE=32,CELL_PADDING=12;let CELL_SPEED=100;const game=new Game(canvas);game.launch();const pattern=/<p>.<\\/p>/g,matches=flatString.match(pattern),flatArray=matches.map((e=>e.includes('#')?1:0));game.drawFromFlatArray(flatArray);";

    event Infinity(uint tokenId);

    bool mintEnabled;

    struct DegenerativeGame {
        uint256 num;
        uint256 birthBlock;
        bool infinity;
        uint256 infinityBlock;
    }

    mapping(uint256 => DegenerativeGame) public degengames;

    error MintClosed();
    error MintedOut();
    error NoContracts();
    error NonceAlreadyUsed();
    error InvalidSignature();
    error InfinityIsInfinite();
    error WrongPrice();

    constructor() ERC721A("DegenerativeGames", "DGNRTVGMS") Ownable(msg.sender) {
    }

    function mint() external payable {
        
        if (msg.sender != tx.origin) revert NoContracts();
        if (mintEnabled == false) revert MintClosed();
        if (totalSupply() + 1 > MAX_SUPPLY ) revert MintedOut();
        if (msg.value != price) revert WrongPrice();

        uint256 tokenId = uint256(totalSupply() + 1);

        degengames[tokenId] = DegenerativeGame({
            num: tokenId,
            birthBlock: block.number,
            infinity: false,
            infinityBlock: 0
        });

        _mint(msg.sender, 1);
    }

    function promoMint(address _to, uint _count) external onlyOwner {
        if (totalSupply() + _count > MAX_SUPPLY) revert MintedOut();

        for (uint256 i = 1; i <= _count; i++) {

            uint256 tokenId = uint256(totalSupply() + 1);

            degengames[tokenId] = DegenerativeGame({
                num: tokenId,
                birthBlock: block.number,
                infinity: false,
                infinityBlock: 0
            });

           _mint(_to, 1);
        }

    }

    /// @notice *PERMANENTLY* sets a token to Infinity mode
    /// @dev Shout out to those that dare call their functions or contracts Infinity
    /// @param tokenId The tokenId, from 1 to tokenCounter (max MAX_SUPPLY)
    function enterInfinity(uint tokenId) public {

        require(msg.sender == ownerOf(tokenId));
        if ( degengames[tokenId].infinity == true) revert MintClosed();

        degengames[tokenId].infinity = true;
        degengames[tokenId].infinityBlock = block.number;
       
        emit Infinity(tokenId);
    }

    function tokenURI(uint256 _tokenId) public view virtual override returns (string memory) {
        require( _exists(_tokenId), "ERC721Metadata: URI query for nonexistent token");
        return buildMetadata(_tokenId);
    }

    function buildMetadata(uint256 _tokenId) internal view returns (string memory) {

        DegenerativeGame memory currentDG = degengames[_tokenId];

        bytes memory svg = getGlyphSVG(_tokenId);

        bytes memory combinedSVG = abi.encodePacked(
            '<svg xmlns="http://www.w3.org/2000/svg" preserveAspectRatio="xMinYMin meet" viewBox="0 0 1760 1760" style="background: black;">',
                '<style>',
                '@font-face{ font-family: "markaglyph"; font-display: block; src: url(data:application/font-woff2;charset=utf-8;base64,d09GMgABAAAAAAKMAA4AAAAABkQAAAI2AAEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAP0ZGVE0cGhwGYACCSggEEQgKcH4LDAABNgIkAxIEIAWELgcsG1EFIJ6FsfMijAaFKizPWf3nRTxP7cfv3N193zwaYulbRjyZRCKNiCeqWCpWkk3/CdVIY+ZZNd1+mgSEvEEl/fNBRVEdCJNCacVhVDUSyeA85D8WTqrVjv/fTe6iCD7nugfdy7LegTQWxRJwAZXAmMBFkrBn3qClCB+faS4SJaleCLzfeH0R+LT55idOfiuPAcbMUVAQBK3+yCMd5U754h7tOB+sRaLohgEEAE5dqvVxtZVbqU9Uz7ghANiEoaJiHgOHyYJ5il1gQBPFVm4P+sGi/9BvCEAGCCAFBQAQUAFo4ow2lwtITwEdGEHFGCYBDcskEFpro914uzDajQxOD+Q2v4Zf3+nFL5bP/H/8AM+Dld3vQcXf9ecD6hvNVInjoIo6jo+1/Hd0nswQ+heutrK7/w2N1h/DDqPnk/UMGALGq2eUJ7IRFNgB9BbszVbMGgg6MUctiGA/F8CEJwJYUsRAjLiKgWLQYwHVDj8BzUi2YaAzmZMYGDCSK2Rpw9gLVYg5bSgm3IbqmCc0c8lAZzHeNwyYS0vFytrF1sTI2B7R9RiIwAkFNtLQsTVDSkjdyskAPvsZ9IynsQg7hdUDdGx1GgCXm3Z3jMxdrI1hLhnaGc0v6zFwxsDIwVzHFm44KwJHrSzti2/eGhkggosjIZItMZuCzxFw+mDgqCaX3diOBrTucgoJA18nwncCB31bwNQFsrUzAVhAOM4HJiQ21mDxKvddbtrKHKMAfdZBAAB0TEfhgGkAAA==) format("woff2")}'
                ' .r{ width: 1280px; height: 1300px; font-size: 26px; display: grid; box-sizing: border-box; grid-template-columns: repeat(64, 20px); grid-template-rows: repeat(64, 20px); grid-gap: 0px; justify-content: space-evenly;  }',
                ' p{ font-family: "markaglyph", monospace; text-align: center; display: flex; justify-content: center; align-items: center; color: white;}',
                '</style>',
                '<foreignObject x="0" y="0" width="1280" height="1300" style="transform: translate(240px, 240px);">',
                    '<div xmlns="http://www.w3.org/1999/xhtml" class="meta">',
                        '<div  class="r">',
                            svg,
                        '</div>',
                    '</div>',
                '</foreignObject>',
            "</svg>"
        );

        bytes memory combinedHTML = abi.encodePacked(
            '<!DOCTYPE html>',
            '<html>',
            '<head>',
            '</head>',
            '<body>',
                "<style>html,body{height: 100%; margin: 0; padding: 0;display: flex;justify-content: center; align-items: center; background: #000;overflow: none;} #g{max-width: 100%;}</style>",
                "<canvas id='g'></canvas>",
                '<script>',
                    'const flatString = \' ',
                        svg,
                    ' \' ; ',
                    _THANKYOUCONWAY,
                    '</script>',
            '</body>',
            '</html>'
        );

        bytes memory name = abi.encodePacked(
            "DegenerativeGame #", toString(currentDG.num)
        );

        bytes memory metadata = abi.encodePacked(
            '{',
                '"name":"', name,'",', 
                '"image": ',
                    '"data:image/svg+xml;base64,',
                    Base64.encode(combinedSVG),
                    '",',
                  '"animation_url": ',
                    '"data:text/html;base64,',
                    Base64.encode(combinedHTML),
                    '",',
                '"attributes": [', attributes(currentDG), ']',
            '}'
        );

        return string(
            abi.encodePacked(
                "data:application/json;base64,",
                Base64.encode(metadata)
            )
        );
    }
    
    function getGlyphSVG( uint _tokenId ) public view returns (bytes memory svg) {

        DegenerativeGame memory currentDG = degengames[_tokenId];
        bytes memory glyphData = bytes(glyphs.tokenURI(_tokenId));
        uint256 len = glyphData.length;
        bytes[] memory fragments = new bytes[](len);

        uint cells;
       
        if(currentDG.infinity) {
            cells = calculateCurrentCells(currentDG.infinityBlock);
        }   
        else {
            cells = calculateCurrentCells(currentDG.birthBlock);
        }
       
        for (uint256 i = Cells_To_Ignore; i < cells; ) {

            bytes1 inst = glyphData[i];

            if (inst == 0x25) {
                unchecked {
                    i += 2;
                }
            } else if (inst == 0x2E) {
                fragments[i] = abi.encodePacked('<p>', '#' , '</p>' );

            } else {    
                fragments[i] = abi.encodePacked('<p>', '.' , '</p>' ); 
            }

            unchecked {
                i++;
            }
        }

        svg = abi.encodePacked(svg, Array.join(fragments));

    }

    function calculateCurrentCells(uint256 birthDate) public view returns (uint256) {
        uint256 currentBlock = block.number; 
       
        if (currentBlock <= birthDate) {
            return Initial_Cells;
        }

        uint256 blocksPassed = currentBlock - birthDate;
     
        if (blocksPassed >= Total_Lifetime_Blocks) {
            return 0;
        }

        uint256 reductionCount = blocksPassed * Reduced_Cells / Total_Lifetime_Blocks;
        uint256 currentCells = Initial_Cells - reductionCount;

        return currentCells;
    }
    
    function attributes(DegenerativeGame memory currentDG) internal pure returns (bytes memory) {

        return abi.encodePacked(
            (currentDG.infinity == false) ? trait('Mode', 'Degenerative', ',') : trait('Mode', 'Infinity', ','),
            (currentDG.infinity == true ) ? trait('Infinity Block', toString(currentDG.infinityBlock) , ',') : '',
            trait('Birth Block', toString(currentDG.birthBlock) , '')
         );
    }

    function trait(string memory traitType, string memory traitValue, string memory append) internal pure returns (string memory) {
        return string(abi.encodePacked(
            '{',
                '"trait_type": "', traitType, '",'
                '"value": "', traitValue, '"'
            '}',
            append
        ));
    }

    function toString(uint value) internal pure returns (string memory) {

        if (value == 0) {
            return "0";
        }
        uint temp = value;
        uint 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 _startTokenId() internal view virtual override returns (uint) {
        return 1;
    }

    function setMintOpen(bool _val) external onlyOwner {
        mintEnabled = _val;
    }

    function withdraw() external onlyOwner {
        (bool sent, ) = payable(owner()).call{value: address(this).balance}("");
        require(sent, "Withdraw failed");
    }

}

// SPDX-License-Identifier: MIT
pragma solidity ^0.8.21;

/// @title Base64
/// @author Brecht Devos - <[email protected]>
/// @notice Provides a function for encoding some bytes in base64
library Base64 {
    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;
    }
}

// SPDX-License-Identifier: MIT

/*
 * @title Arrays Utils
 * @author Clement Walter <[email protected]>
 *
 * @notice An attempt at implementing some of the widely used javascript's Array functions in solidity.
 */
pragma solidity ^0.8.21;

error EmptyArray();
error GlueOutOfBounds(uint256 length);

library Array {
    
    function join(string[] memory a, string memory glue)
        internal
        pure
        returns (string memory)
    {
        uint256 inputPointer;
        uint256 gluePointer;

        assembly {
            inputPointer := a
            gluePointer := glue
        }
        return string(_joinReferenceType(inputPointer, gluePointer));
    }

    function join(string[] memory a) internal pure returns (string memory) {
        return join(a, "");
    }

    function join(bytes[] memory a, bytes memory glue)
        internal
        pure
        returns (bytes memory)
    {
        uint256 inputPointer;
        uint256 gluePointer;

        assembly {
            inputPointer := a
            gluePointer := glue
        }
        return _joinReferenceType(inputPointer, gluePointer);
    }

    function join(bytes[] memory a) internal pure returns (bytes memory) {
        return join(a, bytes(""));
    }

    function join(bytes2[] memory a) internal pure returns (bytes memory) {
        uint256 pointer;

        assembly {
            pointer := a
        }
        return _joinValueType(pointer, 2, 0);
    }

    /// @dev Join the underlying array of bytes2 to a string.
    function join(uint16[] memory a) internal pure returns (bytes memory) {
        uint256 pointer;

        assembly {
            pointer := a
        }
        return _joinValueType(pointer, 2, 256 - 16);
    }

    function join(bytes3[] memory a) internal pure returns (bytes memory) {
        uint256 pointer;

        assembly {
            pointer := a
        }
        return _joinValueType(pointer, 3, 0);
    }

    function join(bytes4[] memory a) internal pure returns (bytes memory) {
        uint256 pointer;

        assembly {
            pointer := a
        }
        return _joinValueType(pointer, 4, 0);
    }

    function join(bytes8[] memory a) internal pure returns (bytes memory) {
        uint256 pointer;

        assembly {
            pointer := a
        }
        return _joinValueType(pointer, 8, 0);
    }

    function join(bytes16[] memory a) internal pure returns (bytes memory) {
        uint256 pointer;

        assembly {
            pointer := a
        }
        return _joinValueType(pointer, 16, 0);
    }

    function join(bytes32[] memory a) internal pure returns (bytes memory) {
        uint256 pointer;

        assembly {
            pointer := a
        }
        return _joinValueType(pointer, 32, 0);
    }

    function _joinValueType(
        uint256 a,
        uint256 typeLength,
        uint256 shiftLeft
    ) private pure returns (bytes memory) {
        bytes memory tempBytes;

        assembly {
            let inputLength := mload(a)
            let inputData := add(a, 0x20)
            let end := add(inputData, mul(inputLength, 0x20))

            // Get a location of some free memory and store it in tempBytes as
            // Solidity does for memory variables.
            tempBytes := mload(0x40)

            // Initialize the length of the final bytes: length is typeLength x inputLength (array of bytes4)
            mstore(tempBytes, mul(inputLength, typeLength))
            let memoryPointer := add(tempBytes, 0x20)

            // Iterate over all bytes4
            for {
                let pointer := inputData
            } lt(pointer, end) {
                pointer := add(pointer, 0x20)
            } {
                let currentSlot := shl(shiftLeft, mload(pointer))
                mstore(memoryPointer, currentSlot)
                memoryPointer := add(memoryPointer, typeLength)
            }

            mstore(0x40, and(add(memoryPointer, 31), not(31)))
        }
        return tempBytes;
    }

    function _joinReferenceType(uint256 inputPointer, uint256 gluePointer)
        internal
        pure
        returns (bytes memory tempBytes)
    {
        assembly {
            // Get a location of some free memory and store it in tempBytes as
            // Solidity does for memory variables.
            tempBytes := mload(0x40)

            // Skip the first 32 bytes where we will store the length of the result
            let memoryPointer := add(tempBytes, 0x20)

            // Load glue
            let glueLength := mload(gluePointer)
            if gt(glueLength, 0x20) {
                revert(gluePointer, 0x20)
            }
            let glue := mload(add(gluePointer, 0x20))

            // Load the length (first 32 bytes)
            let inputLength := mload(inputPointer)
            let inputData := add(inputPointer, 0x20)
            let end := add(inputData, mul(inputLength, 0x20))

            // Initialize the length of the final string
            let stringLength := 0

            // Iterate over all strings (a string is itself an array).
            for {
                let pointer := inputData
            } lt(pointer, end) {
                pointer := add(pointer, 0x20)
            } {
                let currentStringArray := mload(pointer)
                let currentStringLength := mload(currentStringArray)
                stringLength := add(stringLength, currentStringLength)
                let currentStringBytesCount := add(
                    div(currentStringLength, 0x20),
                    gt(mod(currentStringLength, 0x20), 0)
                )

                let currentPointer := add(currentStringArray, 0x20)

                for {
                    let copiedBytesCount := 0
                } lt(copiedBytesCount, currentStringBytesCount) {
                    copiedBytesCount := add(copiedBytesCount, 1)
                } {
                    mstore(
                        add(memoryPointer, mul(copiedBytesCount, 0x20)),
                        mload(currentPointer)
                    )
                    currentPointer := add(currentPointer, 0x20)
                }
                memoryPointer := add(memoryPointer, currentStringLength)
                mstore(memoryPointer, glue)
                memoryPointer := add(memoryPointer, glueLength)
            }

            mstore(
                tempBytes,
                add(stringLength, mul(sub(inputLength, 1), glueLength))
            )
            mstore(0x40, and(add(memoryPointer, 31), not(31)))
        }
        return tempBytes;
    }
}

// SPDX-License-Identifier: MIT
pragma solidity ^0.8.21;

library Utils {
    uint256 internal constant MULTIPLIER   = 100;
    uint256 internal constant GOLDEN_RATIO = 161803;

    /**
      * Compute the largest integer smaller than or equal to the square root of `n`
    */
    // function floorSqrt(uint256 n) internal pure returns (uint256) { unchecked {
    //     if (n > 0) {
    //         uint256 x = n / 2 + 1;
    //         uint256 y = (x + n / x) / 2;
    //         while (x > y) {
    //             x = y;
    //             y = (x + n / x) / 2;
    //         }
    //         return x;
    //     }
    //     return 0;
    // }}

    /**
      * Compute the smallest integer larger than or equal to the square root of `n`
    */
    // function ceilSqrt(uint256 n) internal pure returns (uint256) { unchecked {
    //     uint256 x = floorSqrt(n);
    //     return x ** 2 == n ? x : x + 1;
    // }}

    // function lerp(int256 targetFrom, int256 targetTo, int256 currentFrom, int256 currentTo, int current) internal pure returns (int256) { unchecked {
    //     int256 t = 0;
    //     int256 divisor = currentTo - currentFrom - 1;
        
    //     if (divisor > 0) {
    //         t = (current - currentFrom) * int256(MULTIPLIER) / (divisor);
    //     }

    //     return targetFrom * int256(MULTIPLIER) + t * (targetTo - targetFrom);
    // }}

    function toByteArray(bytes32 _bytes32) internal pure returns (bytes memory result) {
        uint8 i = 0;
        while(i < 32 && _bytes32[i] != 0) {
            i++;
        }
        bytes memory bytesArray = new bytes(i);
        for (i = 0; i < 32 && _bytes32[i] != 0; i++) {
            bytesArray[i] = _bytes32[i];
        }
        return bytesArray;
    }

    function toString(bytes32 _bytes32) internal pure returns (string memory result) {
        return string(toByteArray(_bytes32));
    }

    // todo: check this
    function toStringBytes3(bytes3 _bytes) public pure returns (string memory) {
        bytes memory hexChars = "0123456789abcdef";
        bytes memory hexString = new bytes(6); // Since bytes3 contains 3 bytes, resulting in 6 hex characters

        for (uint i = 0; i < 3; i++) {
            hexString[i * 2] = hexChars[uint8(_bytes[i] >> 4)];
            hexString[1 + i * 2] = hexChars[uint8(_bytes[i] & 0x0f)];
        }

        return string(hexString);
    }


    /*

        Gas Efficient uint/int to string functions
        Copied from: https://github.com/Vectorized/solady/blob/main/src/utils/LibString.sol

    */

    /// @dev Returns the base 10 decimal representation of `value`.
    function toString(uint256 value) internal pure returns (string memory str) {
        /// @solidity memory-safe-assembly
        assembly {
            // The maximum value of a uint256 contains 78 digits (1 byte per digit), but
            // we allocate 0xa0 bytes to keep the free memory pointer 32-byte word aligned.
            // We will need 1 word for the trailing zeros padding, 1 word for the length,
            // and 3 words for a maximum of 78 digits.
            str := add(mload(0x40), 0x80)
            // Update the free memory pointer to allocate.
            mstore(0x40, add(str, 0x20))
            // Zeroize the slot after the string.
            mstore(str, 0)

            // Cache the end of the memory to calculate the length later.
            let end := str

            let w := not(0) // Tsk.
            // We write the string from rightmost digit to leftmost digit.
            // The following is essentially a do-while loop that also handles the zero case.
            for { let temp := value } 1 {} {
                str := add(str, w) // `sub(str, 1)`.
                // Write the character to the pointer.
                // The ASCII index of the '0' character is 48.
                mstore8(str, add(48, mod(temp, 10)))
                // Keep dividing `temp` until zero.
                temp := div(temp, 10)
                if iszero(temp) { break }
            }

            let length := sub(end, str)
            // Move the pointer 32 bytes leftwards to make room for the length.
            str := sub(str, 0x20)
            // Store the length.
            mstore(str, length)
        }
    }

    /// @dev Returns the base 10 decimal representation of `value`.
    function toString(int256 value) internal pure returns (string memory str) {
        if (value >= 0) {
            return toString(uint256(value));
        }
        unchecked {
            str = toString(uint256(-value));
        }
        /// @solidity memory-safe-assembly
        assembly {
            // We still have some spare memory space on the left,
            // as we have allocated 3 words (96 bytes) for up to 78 digits.
            let length := mload(str) // Load the string length.
            mstore(str, 0x2d) // Store the '-' character.
            str := sub(str, 1) // Move back the string pointer by a byte.
            mstore(str, add(length, 1)) // Update the string length.
        }
    }

     /// @dev Encodes `data` using the base64 encoding described in RFC 4648.
    /// See: https://datatracker.ietf.org/doc/html/rfc4648
    /// @param fileSafe  Whether to replace '+' with '-' and '/' with '_'.
    /// @param noPadding Whether to strip away the padding.
    function encode(bytes memory data, bool fileSafe, bool noPadding) internal pure returns (string memory result) {
        /// @solidity memory-safe-assembly
        assembly {
            let dataLength := mload(data)

            if dataLength {
                // Multiply by 4/3 rounded up.
                // The `shl(2, ...)` is equivalent to multiplying by 4.
                let encodedLength := shl(2, div(add(dataLength, 2), 3))

                // Set `result` to point to the start of the free memory.
                result := mload(0x40)

                // Store the table into the scratch space.
                // Offsetted by -1 byte so that the `mload` will load the character.
                // We will rewrite the free memory pointer at `0x40` later with
                // the allocated size.
                // The magic constant 0x0670 will turn "-_" into "+/".
                mstore(0x1f, "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdef")
                mstore(0x3f, xor("ghijklmnopqrstuvwxyz0123456789-_", mul(iszero(fileSafe), 0x0670)))

                // Skip the first slot, which stores the length.
                let ptr := add(result, 0x20)
                let end := add(ptr, encodedLength)

                // Run over the input, 3 bytes at a time.
                for {} 1 {} {
                    data := add(data, 3) // Advance 3 bytes.
                    let input := mload(data)

                    // Write 4 bytes. Optimized for fewer stack operations.
                    mstore8(0, mload(and(shr(18, input), 0x3F)))
                    mstore8(1, mload(and(shr(12, input), 0x3F)))
                    mstore8(2, mload(and(shr(6, input), 0x3F)))
                    mstore8(3, mload(and(input, 0x3F)))
                    mstore(ptr, mload(0x00))

                    ptr := add(ptr, 4) // Advance 4 bytes.
                    if iszero(lt(ptr, end)) { break }
                }
                mstore(0x40, add(end, 0x20)) // Allocate the memory.
                // Equivalent to `o = [0, 2, 1][dataLength % 3]`.
                let o := div(2, mod(dataLength, 3))
                // Offset `ptr` and pad with '='. We can simply write over the end.
                mstore(sub(ptr, o), shl(240, 0x3d3d))
                // Set `o` to zero if there is padding.
                o := mul(iszero(iszero(noPadding)), o)
                mstore(sub(ptr, o), 0) // Zeroize the slot after the string.
                mstore(result, sub(encodedLength, o)) // Store the length.
            }
        }
    }

    /// @dev Encodes `data` using the base64 encoding described in RFC 4648.
    /// Equivalent to `encode(data, false, false)`.
    function encode(bytes memory data) internal pure returns (string memory result) {
        result = encode(data, false, false);
    }

    /// @dev Encodes `data` using the base64 encoding described in RFC 4648.
    /// Equivalent to `encode(data, fileSafe, false)`.
    function encode(bytes memory data, bool fileSafe) internal pure returns (string memory result) {
        result = encode(data, fileSafe, false);
    }

   


    // /// @dev Returns a concatenated string of `a` and `b`.
    // /// Cheaper than `string.concat()` and does not de-align the free memory pointer.
    // function concat(string memory a, string memory b)
    //     internal
    //     pure
    //     returns (string memory result)
    // {
    //     /// @solidity memory-safe-assembly
    //     assembly {
    //         let w := not(0x1f)
    //         result := mload(0x40)
    //         let aLength := mload(a)
    //         // Copy `a` one word at a time, backwards.
    //         for { let o := and(add(aLength, 0x20), w) } 1 {} {
    //             mstore(add(result, o), mload(add(a, o)))
    //             o := add(o, w) // `sub(o, 0x20)`.
    //             if iszero(o) { break }
    //         }
    //         let bLength := mload(b)
    //         let output := add(result, aLength)
    //         // Copy `b` one word at a time, backwards.
    //         for { let o := and(add(bLength, 0x20), w) } 1 {} {
    //             mstore(add(output, o), mload(add(b, o)))
    //             o := add(o, w) // `sub(o, 0x20)`.
    //             if iszero(o) { break }
    //         }
    //         let totalLength := add(aLength, bLength)
    //         let last := add(add(result, 0x20), totalLength)
    //         // Zeroize the slot after the string.
    //         mstore(last, 0)
    //         // Stores the length.
    //         mstore(result, totalLength)
    //         // Allocate memory for the length and the bytes,
    //         // rounded up to a multiple of 32.
    //         mstore(0x40, and(add(last, 0x1f), w))
    //     }
    // }
}

// SPDX-License-Identifier: MIT
pragma solidity ^0.8.21;

interface IAutoglyphs {

    function symbolScheme(uint256 index) external view returns (uint8);

    function tokenURI(uint256 index) external view returns (string memory);

}

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

pragma solidity ^0.8.20;

import {Context} from "../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.
 *
 * The initial owner is set to the address provided by the deployer. 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;

    /**
     * @dev The caller account is not authorized to perform an operation.
     */
    error OwnableUnauthorizedAccount(address account);

    /**
     * @dev The owner is not a valid owner account. (eg. `address(0)`)
     */
    error OwnableInvalidOwner(address owner);

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

    /**
     * @dev Initializes the contract setting the address provided by the deployer as the initial owner.
     */
    constructor(address initialOwner) {
        if (initialOwner == address(0)) {
            revert OwnableInvalidOwner(address(0));
        }
        _transferOwnership(initialOwner);
    }

    /**
     * @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 {
        if (owner() != _msgSender()) {
            revert OwnableUnauthorizedAccount(_msgSender());
        }
    }

    /**
     * @dev Leaves the contract without owner. It will not be possible to call
     * `onlyOwner` functions. Can only be called by the current owner.
     *
     * NOTE: Renouncing ownership will leave the contract without an owner,
     * thereby disabling 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 {
        if (newOwner == address(0)) {
            revert OwnableInvalidOwner(address(0));
        }
        _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);
    }
}

// SPDX-License-Identifier: MIT
// ERC721A Contracts v4.3.0
// Creator: Chiru Labs

pragma solidity ^0.8.4;

import './IERC721A.sol';

/**
 * @dev Interface of ERC721 token receiver.
 */
interface ERC721A__IERC721Receiver {
    function onERC721Received(
        address operator,
        address from,
        uint256 tokenId,
        bytes calldata data
    ) external returns (bytes4);
}

/**
 * @title ERC721A
 *
 * @dev Implementation of the [ERC721](https://eips.ethereum.org/EIPS/eip-721)
 * Non-Fungible Token Standard, including the Metadata extension.
 * Optimized for lower gas during batch mints.
 *
 * Token IDs are minted in sequential order (e.g. 0, 1, 2, 3, ...)
 * starting from `_startTokenId()`.
 *
 * The `_sequentialUpTo()` function can be overriden to enable spot mints
 * (i.e. non-consecutive mints) for `tokenId`s greater than `_sequentialUpTo()`.
 *
 * Assumptions:
 *
 * - An owner cannot have more than 2**64 - 1 (max value of uint64) of supply.
 * - The maximum token ID cannot exceed 2**256 - 1 (max value of uint256).
 */
contract ERC721A is IERC721A {
    // Bypass for a `--via-ir` bug (https://github.com/chiru-labs/ERC721A/pull/364).
    struct TokenApprovalRef {
        address value;
    }

    // =============================================================
    //                           CONSTANTS
    // =============================================================

    // Mask of an entry in packed address data.
    uint256 private constant _BITMASK_ADDRESS_DATA_ENTRY = (1 << 64) - 1;

    // The bit position of `numberMinted` in packed address data.
    uint256 private constant _BITPOS_NUMBER_MINTED = 64;

    // The bit position of `numberBurned` in packed address data.
    uint256 private constant _BITPOS_NUMBER_BURNED = 128;

    // The bit position of `aux` in packed address data.
    uint256 private constant _BITPOS_AUX = 192;

    // Mask of all 256 bits in packed address data except the 64 bits for `aux`.
    uint256 private constant _BITMASK_AUX_COMPLEMENT = (1 << 192) - 1;

    // The bit position of `startTimestamp` in packed ownership.
    uint256 private constant _BITPOS_START_TIMESTAMP = 160;

    // The bit mask of the `burned` bit in packed ownership.
    uint256 private constant _BITMASK_BURNED = 1 << 224;

    // The bit position of the `nextInitialized` bit in packed ownership.
    uint256 private constant _BITPOS_NEXT_INITIALIZED = 225;

    // The bit mask of the `nextInitialized` bit in packed ownership.
    uint256 private constant _BITMASK_NEXT_INITIALIZED = 1 << 225;

    // The bit position of `extraData` in packed ownership.
    uint256 private constant _BITPOS_EXTRA_DATA = 232;

    // Mask of all 256 bits in a packed ownership except the 24 bits for `extraData`.
    uint256 private constant _BITMASK_EXTRA_DATA_COMPLEMENT = (1 << 232) - 1;

    // The mask of the lower 160 bits for addresses.
    uint256 private constant _BITMASK_ADDRESS = (1 << 160) - 1;

    // The maximum `quantity` that can be minted with {_mintERC2309}.
    // This limit is to prevent overflows on the address data entries.
    // For a limit of 5000, a total of 3.689e15 calls to {_mintERC2309}
    // is required to cause an overflow, which is unrealistic.
    uint256 private constant _MAX_MINT_ERC2309_QUANTITY_LIMIT = 5000;

    // The `Transfer` event signature is given by:
    // `keccak256(bytes("Transfer(address,address,uint256)"))`.
    bytes32 private constant _TRANSFER_EVENT_SIGNATURE =
        0xddf252ad1be2c89b69c2b068fc378daa952ba7f163c4a11628f55a4df523b3ef;

    // =============================================================
    //                            STORAGE
    // =============================================================

    // The next token ID to be minted.
    uint256 private _currentIndex;

    // The number of tokens burned.
    uint256 private _burnCounter;

    // Token name
    string private _name;

    // Token symbol
    string private _symbol;

    // Mapping from token ID to ownership details
    // An empty struct value does not necessarily mean the token is unowned.
    // See {_packedOwnershipOf} implementation for details.
    //
    // Bits Layout:
    // - [0..159]   `addr`
    // - [160..223] `startTimestamp`
    // - [224]      `burned`
    // - [225]      `nextInitialized`
    // - [232..255] `extraData`
    mapping(uint256 => uint256) private _packedOwnerships;

    // Mapping owner address to address data.
    //
    // Bits Layout:
    // - [0..63]    `balance`
    // - [64..127]  `numberMinted`
    // - [128..191] `numberBurned`
    // - [192..255] `aux`
    mapping(address => uint256) private _packedAddressData;

    // Mapping from token ID to approved address.
    mapping(uint256 => TokenApprovalRef) private _tokenApprovals;

    // Mapping from owner to operator approvals
    mapping(address => mapping(address => bool)) private _operatorApprovals;

    // The amount of tokens minted above `_sequentialUpTo()`.
    // We call these spot mints (i.e. non-sequential mints).
    uint256 private _spotMinted;

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

    constructor(string memory name_, string memory symbol_) {
        _name = name_;
        _symbol = symbol_;
        _currentIndex = _startTokenId();

        if (_sequentialUpTo() < _startTokenId()) _revert(SequentialUpToTooSmall.selector);
    }

    // =============================================================
    //                   TOKEN COUNTING OPERATIONS
    // =============================================================

    /**
     * @dev Returns the starting token ID for sequential mints.
     *
     * Override this function to change the starting token ID for sequential mints.
     *
     * Note: The value returned must never change after any tokens have been minted.
     */
    function _startTokenId() internal view virtual returns (uint256) {
        return 0;
    }

    /**
     * @dev Returns the maximum token ID (inclusive) for sequential mints.
     *
     * Override this function to return a value less than 2**256 - 1,
     * but greater than `_startTokenId()`, to enable spot (non-sequential) mints.
     *
     * Note: The value returned must never change after any tokens have been minted.
     */
    function _sequentialUpTo() internal view virtual returns (uint256) {
        return type(uint256).max;
    }

    /**
     * @dev Returns the next token ID to be minted.
     */
    function _nextTokenId() internal view virtual returns (uint256) {
        return _currentIndex;
    }

    /**
     * @dev Returns the total number of tokens in existence.
     * Burned tokens will reduce the count.
     * To get the total number of tokens minted, please see {_totalMinted}.
     */
    function totalSupply() public view virtual override returns (uint256 result) {
        // Counter underflow is impossible as `_burnCounter` cannot be incremented
        // more than `_currentIndex + _spotMinted - _startTokenId()` times.
        unchecked {
            // With spot minting, the intermediate `result` can be temporarily negative,
            // and the computation must be unchecked.
            result = _currentIndex - _burnCounter - _startTokenId();
            if (_sequentialUpTo() != type(uint256).max) result += _spotMinted;
        }
    }

    /**
     * @dev Returns the total amount of tokens minted in the contract.
     */
    function _totalMinted() internal view virtual returns (uint256 result) {
        // Counter underflow is impossible as `_currentIndex` does not decrement,
        // and it is initialized to `_startTokenId()`.
        unchecked {
            result = _currentIndex - _startTokenId();
            if (_sequentialUpTo() != type(uint256).max) result += _spotMinted;
        }
    }

    /**
     * @dev Returns the total number of tokens burned.
     */
    function _totalBurned() internal view virtual returns (uint256) {
        return _burnCounter;
    }

    /**
     * @dev Returns the total number of tokens that are spot-minted.
     */
    function _totalSpotMinted() internal view virtual returns (uint256) {
        return _spotMinted;
    }

    // =============================================================
    //                    ADDRESS DATA OPERATIONS
    // =============================================================

    /**
     * @dev Returns the number of tokens in `owner`'s account.
     */
    function balanceOf(address owner) public view virtual override returns (uint256) {
        if (owner == address(0)) _revert(BalanceQueryForZeroAddress.selector);
        return _packedAddressData[owner] & _BITMASK_ADDRESS_DATA_ENTRY;
    }

    /**
     * Returns the number of tokens minted by `owner`.
     */
    function _numberMinted(address owner) internal view returns (uint256) {
        return (_packedAddressData[owner] >> _BITPOS_NUMBER_MINTED) & _BITMASK_ADDRESS_DATA_ENTRY;
    }

    /**
     * Returns the number of tokens burned by or on behalf of `owner`.
     */
    function _numberBurned(address owner) internal view returns (uint256) {
        return (_packedAddressData[owner] >> _BITPOS_NUMBER_BURNED) & _BITMASK_ADDRESS_DATA_ENTRY;
    }

    /**
     * Returns the auxiliary data for `owner`. (e.g. number of whitelist mint slots used).
     */
    function _getAux(address owner) internal view returns (uint64) {
        return uint64(_packedAddressData[owner] >> _BITPOS_AUX);
    }

    /**
     * Sets the auxiliary data for `owner`. (e.g. number of whitelist mint slots used).
     * If there are multiple variables, please pack them into a uint64.
     */
    function _setAux(address owner, uint64 aux) internal virtual {
        uint256 packed = _packedAddressData[owner];
        uint256 auxCasted;
        // Cast `aux` with assembly to avoid redundant masking.
        assembly {
            auxCasted := aux
        }
        packed = (packed & _BITMASK_AUX_COMPLEMENT) | (auxCasted << _BITPOS_AUX);
        _packedAddressData[owner] = packed;
    }

    // =============================================================
    //                            IERC165
    // =============================================================

    /**
     * @dev Returns true if this contract implements the interface defined by
     * `interfaceId`. See the corresponding
     * [EIP section](https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified)
     * to learn more about how these ids are created.
     *
     * This function call must use less than 30000 gas.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
        // The interface IDs are constants representing the first 4 bytes
        // of the XOR of all function selectors in the interface.
        // See: [ERC165](https://eips.ethereum.org/EIPS/eip-165)
        // (e.g. `bytes4(i.functionA.selector ^ i.functionB.selector ^ ...)`)
        return
            interfaceId == 0x01ffc9a7 || // ERC165 interface ID for ERC165.
            interfaceId == 0x80ac58cd || // ERC165 interface ID for ERC721.
            interfaceId == 0x5b5e139f; // ERC165 interface ID for ERC721Metadata.
    }

    // =============================================================
    //                        IERC721Metadata
    // =============================================================

    /**
     * @dev Returns the token collection name.
     */
    function name() public view virtual override returns (string memory) {
        return _name;
    }

    /**
     * @dev Returns the token collection symbol.
     */
    function symbol() public view virtual override returns (string memory) {
        return _symbol;
    }

    /**
     * @dev Returns the Uniform Resource Identifier (URI) for `tokenId` token.
     */
    function tokenURI(uint256 tokenId) public view virtual override returns (string memory) {
        if (!_exists(tokenId)) _revert(URIQueryForNonexistentToken.selector);

        string memory baseURI = _baseURI();
        return bytes(baseURI).length != 0 ? string(abi.encodePacked(baseURI, _toString(tokenId))) : '';
    }

    /**
     * @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, it can be overridden in child contracts.
     */
    function _baseURI() internal view virtual returns (string memory) {
        return '';
    }

    // =============================================================
    //                     OWNERSHIPS OPERATIONS
    // =============================================================

    /**
     * @dev Returns the owner of the `tokenId` token.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     */
    function ownerOf(uint256 tokenId) public view virtual override returns (address) {
        return address(uint160(_packedOwnershipOf(tokenId)));
    }

    /**
     * @dev Gas spent here starts off proportional to the maximum mint batch size.
     * It gradually moves to O(1) as tokens get transferred around over time.
     */
    function _ownershipOf(uint256 tokenId) internal view virtual returns (TokenOwnership memory) {
        return _unpackedOwnership(_packedOwnershipOf(tokenId));
    }

    /**
     * @dev Returns the unpacked `TokenOwnership` struct at `index`.
     */
    function _ownershipAt(uint256 index) internal view virtual returns (TokenOwnership memory) {
        return _unpackedOwnership(_packedOwnerships[index]);
    }

    /**
     * @dev Returns whether the ownership slot at `index` is initialized.
     * An uninitialized slot does not necessarily mean that the slot has no owner.
     */
    function _ownershipIsInitialized(uint256 index) internal view virtual returns (bool) {
        return _packedOwnerships[index] != 0;
    }

    /**
     * @dev Initializes the ownership slot minted at `index` for efficiency purposes.
     */
    function _initializeOwnershipAt(uint256 index) internal virtual {
        if (_packedOwnerships[index] == 0) {
            _packedOwnerships[index] = _packedOwnershipOf(index);
        }
    }

    /**
     * @dev Returns the packed ownership data of `tokenId`.
     */
    function _packedOwnershipOf(uint256 tokenId) private view returns (uint256 packed) {
        if (_startTokenId() <= tokenId) {
            packed = _packedOwnerships[tokenId];

            if (tokenId > _sequentialUpTo()) {
                if (_packedOwnershipExists(packed)) return packed;
                _revert(OwnerQueryForNonexistentToken.selector);
            }

            // If the data at the starting slot does not exist, start the scan.
            if (packed == 0) {
                if (tokenId >= _currentIndex) _revert(OwnerQueryForNonexistentToken.selector);
                // Invariant:
                // There will always be an initialized ownership slot
                // (i.e. `ownership.addr != address(0) && ownership.burned == false`)
                // before an unintialized ownership slot
                // (i.e. `ownership.addr == address(0) && ownership.burned == false`)
                // Hence, `tokenId` will not underflow.
                //
                // We can directly compare the packed value.
                // If the address is zero, packed will be zero.
                for (;;) {
                    unchecked {
                        packed = _packedOwnerships[--tokenId];
                    }
                    if (packed == 0) continue;
                    if (packed & _BITMASK_BURNED == 0) return packed;
                    // Otherwise, the token is burned, and we must revert.
                    // This handles the case of batch burned tokens, where only the burned bit
                    // of the starting slot is set, and remaining slots are left uninitialized.
                    _revert(OwnerQueryForNonexistentToken.selector);
                }
            }
            // Otherwise, the data exists and we can skip the scan.
            // This is possible because we have already achieved the target condition.
            // This saves 2143 gas on transfers of initialized tokens.
            // If the token is not burned, return `packed`. Otherwise, revert.
            if (packed & _BITMASK_BURNED == 0) return packed;
        }
        _revert(OwnerQueryForNonexistentToken.selector);
    }

    /**
     * @dev Returns the unpacked `TokenOwnership` struct from `packed`.
     */
    function _unpackedOwnership(uint256 packed) private pure returns (TokenOwnership memory ownership) {
        ownership.addr = address(uint160(packed));
        ownership.startTimestamp = uint64(packed >> _BITPOS_START_TIMESTAMP);
        ownership.burned = packed & _BITMASK_BURNED != 0;
        ownership.extraData = uint24(packed >> _BITPOS_EXTRA_DATA);
    }

    /**
     * @dev Packs ownership data into a single uint256.
     */
    function _packOwnershipData(address owner, uint256 flags) private view returns (uint256 result) {
        assembly {
            // Mask `owner` to the lower 160 bits, in case the upper bits somehow aren't clean.
            owner := and(owner, _BITMASK_ADDRESS)
            // `owner | (block.timestamp << _BITPOS_START_TIMESTAMP) | flags`.
            result := or(owner, or(shl(_BITPOS_START_TIMESTAMP, timestamp()), flags))
        }
    }

    /**
     * @dev Returns the `nextInitialized` flag set if `quantity` equals 1.
     */
    function _nextInitializedFlag(uint256 quantity) private pure returns (uint256 result) {
        // For branchless setting of the `nextInitialized` flag.
        assembly {
            // `(quantity == 1) << _BITPOS_NEXT_INITIALIZED`.
            result := shl(_BITPOS_NEXT_INITIALIZED, eq(quantity, 1))
        }
    }

    // =============================================================
    //                      APPROVAL OPERATIONS
    // =============================================================

    /**
     * @dev Gives permission to `to` to transfer `tokenId` token to another account. See {ERC721A-_approve}.
     *
     * Requirements:
     *
     * - The caller must own the token or be an approved operator.
     */
    function approve(address to, uint256 tokenId) public payable virtual override {
        _approve(to, tokenId, true);
    }

    /**
     * @dev Returns the account approved for `tokenId` token.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     */
    function getApproved(uint256 tokenId) public view virtual override returns (address) {
        if (!_exists(tokenId)) _revert(ApprovalQueryForNonexistentToken.selector);

        return _tokenApprovals[tokenId].value;
    }

    /**
     * @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) public virtual override {
        _operatorApprovals[_msgSenderERC721A()][operator] = approved;
        emit ApprovalForAll(_msgSenderERC721A(), operator, approved);
    }

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

    /**
     * @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. See {_mint}.
     */
    function _exists(uint256 tokenId) internal view virtual returns (bool result) {
        if (_startTokenId() <= tokenId) {
            if (tokenId > _sequentialUpTo()) return _packedOwnershipExists(_packedOwnerships[tokenId]);

            if (tokenId < _currentIndex) {
                uint256 packed;
                while ((packed = _packedOwnerships[tokenId]) == 0) --tokenId;
                result = packed & _BITMASK_BURNED == 0;
            }
        }
    }

    /**
     * @dev Returns whether `packed` represents a token that exists.
     */
    function _packedOwnershipExists(uint256 packed) private pure returns (bool result) {
        assembly {
            // The following is equivalent to `owner != address(0) && burned == false`.
            // Symbolically tested.
            result := gt(and(packed, _BITMASK_ADDRESS), and(packed, _BITMASK_BURNED))
        }
    }

    /**
     * @dev Returns whether `msgSender` is equal to `approvedAddress` or `owner`.
     */
    function _isSenderApprovedOrOwner(
        address approvedAddress,
        address owner,
        address msgSender
    ) private pure returns (bool result) {
        assembly {
            // Mask `owner` to the lower 160 bits, in case the upper bits somehow aren't clean.
            owner := and(owner, _BITMASK_ADDRESS)
            // Mask `msgSender` to the lower 160 bits, in case the upper bits somehow aren't clean.
            msgSender := and(msgSender, _BITMASK_ADDRESS)
            // `msgSender == owner || msgSender == approvedAddress`.
            result := or(eq(msgSender, owner), eq(msgSender, approvedAddress))
        }
    }

    /**
     * @dev Returns the storage slot and value for the approved address of `tokenId`.
     */
    function _getApprovedSlotAndAddress(uint256 tokenId)
        private
        view
        returns (uint256 approvedAddressSlot, address approvedAddress)
    {
        TokenApprovalRef storage tokenApproval = _tokenApprovals[tokenId];
        // The following is equivalent to `approvedAddress = _tokenApprovals[tokenId].value`.
        assembly {
            approvedAddressSlot := tokenApproval.slot
            approvedAddress := sload(approvedAddressSlot)
        }
    }

    // =============================================================
    //                      TRANSFER OPERATIONS
    // =============================================================

    /**
     * @dev Transfers `tokenId` from `from` to `to`.
     *
     * 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
    ) public payable virtual override {
        uint256 prevOwnershipPacked = _packedOwnershipOf(tokenId);

        // Mask `from` to the lower 160 bits, in case the upper bits somehow aren't clean.
        from = address(uint160(uint256(uint160(from)) & _BITMASK_ADDRESS));

        if (address(uint160(prevOwnershipPacked)) != from) _revert(TransferFromIncorrectOwner.selector);

        (uint256 approvedAddressSlot, address approvedAddress) = _getApprovedSlotAndAddress(tokenId);

        // The nested ifs save around 20+ gas over a compound boolean condition.
        if (!_isSenderApprovedOrOwner(approvedAddress, from, _msgSenderERC721A()))
            if (!isApprovedForAll(from, _msgSenderERC721A())) _revert(TransferCallerNotOwnerNorApproved.selector);

        _beforeTokenTransfers(from, to, tokenId, 1);

        // Clear approvals from the previous owner.
        assembly {
            if approvedAddress {
                // This is equivalent to `delete _tokenApprovals[tokenId]`.
                sstore(approvedAddressSlot, 0)
            }
        }

        // Underflow of the sender's balance is impossible because we check for
        // ownership above and the recipient's balance can't realistically overflow.
        // Counter overflow is incredibly unrealistic as `tokenId` would have to be 2**256.
        unchecked {
            // We can directly increment and decrement the balances.
            --_packedAddressData[from]; // Updates: `balance -= 1`.
            ++_packedAddressData[to]; // Updates: `balance += 1`.

            // Updates:
            // - `address` to the next owner.
            // - `startTimestamp` to the timestamp of transfering.
            // - `burned` to `false`.
            // - `nextInitialized` to `true`.
            _packedOwnerships[tokenId] = _packOwnershipData(
                to,
                _BITMASK_NEXT_INITIALIZED | _nextExtraData(from, to, prevOwnershipPacked)
            );

            // If the next slot may not have been initialized (i.e. `nextInitialized == false`) .
            if (prevOwnershipPacked & _BITMASK_NEXT_INITIALIZED == 0) {
                uint256 nextTokenId = tokenId + 1;
                // If the next slot's address is zero and not burned (i.e. packed value is zero).
                if (_packedOwnerships[nextTokenId] == 0) {
                    // If the next slot is within bounds.
                    if (nextTokenId != _currentIndex) {
                        // Initialize the next slot to maintain correctness for `ownerOf(tokenId + 1)`.
                        _packedOwnerships[nextTokenId] = prevOwnershipPacked;
                    }
                }
            }
        }

        // Mask `to` to the lower 160 bits, in case the upper bits somehow aren't clean.
        uint256 toMasked = uint256(uint160(to)) & _BITMASK_ADDRESS;
        assembly {
            // Emit the `Transfer` event.
            log4(
                0, // Start of data (0, since no data).
                0, // End of data (0, since no data).
                _TRANSFER_EVENT_SIGNATURE, // Signature.
                from, // `from`.
                toMasked, // `to`.
                tokenId // `tokenId`.
            )
        }
        if (toMasked == 0) _revert(TransferToZeroAddress.selector);

        _afterTokenTransfers(from, to, tokenId, 1);
    }

    /**
     * @dev Equivalent to `safeTransferFrom(from, to, tokenId, '')`.
     */
    function safeTransferFrom(
        address from,
        address to,
        uint256 tokenId
    ) public payable virtual override {
        safeTransferFrom(from, to, tokenId, '');
    }

    /**
     * @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 memory _data
    ) public payable virtual override {
        transferFrom(from, to, tokenId);
        if (to.code.length != 0)
            if (!_checkContractOnERC721Received(from, to, tokenId, _data)) {
                _revert(TransferToNonERC721ReceiverImplementer.selector);
            }
    }

    /**
     * @dev Hook that is called before a set of serially-ordered token IDs
     * are about to be transferred. This includes minting.
     * And also called before burning one token.
     *
     * `startTokenId` - the first token ID to be transferred.
     * `quantity` - the amount to be transferred.
     *
     * 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, `tokenId` will be burned by `from`.
     * - `from` and `to` are never both zero.
     */
    function _beforeTokenTransfers(
        address from,
        address to,
        uint256 startTokenId,
        uint256 quantity
    ) internal virtual {}

    /**
     * @dev Hook that is called after a set of serially-ordered token IDs
     * have been transferred. This includes minting.
     * And also called after one token has been burned.
     *
     * `startTokenId` - the first token ID to be transferred.
     * `quantity` - the amount to be transferred.
     *
     * Calling conditions:
     *
     * - When `from` and `to` are both non-zero, `from`'s `tokenId` has been
     * transferred to `to`.
     * - When `from` is zero, `tokenId` has been minted for `to`.
     * - When `to` is zero, `tokenId` has been burned by `from`.
     * - `from` and `to` are never both zero.
     */
    function _afterTokenTransfers(
        address from,
        address to,
        uint256 startTokenId,
        uint256 quantity
    ) internal virtual {}

    /**
     * @dev Private function to invoke {IERC721Receiver-onERC721Received} on a target contract.
     *
     * `from` - Previous owner of the given token ID.
     * `to` - Target address that will receive the token.
     * `tokenId` - Token ID to be transferred.
     * `_data` - Optional data to send along with the call.
     *
     * Returns whether the call correctly returned the expected magic value.
     */
    function _checkContractOnERC721Received(
        address from,
        address to,
        uint256 tokenId,
        bytes memory _data
    ) private returns (bool) {
        try ERC721A__IERC721Receiver(to).onERC721Received(_msgSenderERC721A(), from, tokenId, _data) returns (
            bytes4 retval
        ) {
            return retval == ERC721A__IERC721Receiver(to).onERC721Received.selector;
        } catch (bytes memory reason) {
            if (reason.length == 0) {
                _revert(TransferToNonERC721ReceiverImplementer.selector);
            }
            assembly {
                revert(add(32, reason), mload(reason))
            }
        }
    }

    // =============================================================
    //                        MINT OPERATIONS
    // =============================================================

    /**
     * @dev Mints `quantity` tokens and transfers them to `to`.
     *
     * Requirements:
     *
     * - `to` cannot be the zero address.
     * - `quantity` must be greater than 0.
     *
     * Emits a {Transfer} event for each mint.
     */
    function _mint(address to, uint256 quantity) internal virtual {
        uint256 startTokenId = _currentIndex;
        if (quantity == 0) _revert(MintZeroQuantity.selector);

        _beforeTokenTransfers(address(0), to, startTokenId, quantity);

        // Overflows are incredibly unrealistic.
        // `balance` and `numberMinted` have a maximum limit of 2**64.
        // `tokenId` has a maximum limit of 2**256.
        unchecked {
            // Updates:
            // - `address` to the owner.
            // - `startTimestamp` to the timestamp of minting.
            // - `burned` to `false`.
            // - `nextInitialized` to `quantity == 1`.
            _packedOwnerships[startTokenId] = _packOwnershipData(
                to,
                _nextInitializedFlag(quantity) | _nextExtraData(address(0), to, 0)
            );

            // Updates:
            // - `balance += quantity`.
            // - `numberMinted += quantity`.
            //
            // We can directly add to the `balance` and `numberMinted`.
            _packedAddressData[to] += quantity * ((1 << _BITPOS_NUMBER_MINTED) | 1);

            // Mask `to` to the lower 160 bits, in case the upper bits somehow aren't clean.
            uint256 toMasked = uint256(uint160(to)) & _BITMASK_ADDRESS;

            if (toMasked == 0) _revert(MintToZeroAddress.selector);

            uint256 end = startTokenId + quantity;
            uint256 tokenId = startTokenId;

            if (end - 1 > _sequentialUpTo()) _revert(SequentialMintExceedsLimit.selector);

            do {
                assembly {
                    // Emit the `Transfer` event.
                    log4(
                        0, // Start of data (0, since no data).
                        0, // End of data (0, since no data).
                        _TRANSFER_EVENT_SIGNATURE, // Signature.
                        0, // `address(0)`.
                        toMasked, // `to`.
                        tokenId // `tokenId`.
                    )
                }
                // The `!=` check ensures that large values of `quantity`
                // that overflows uint256 will make the loop run out of gas.
            } while (++tokenId != end);

            _currentIndex = end;
        }
        _afterTokenTransfers(address(0), to, startTokenId, quantity);
    }

    /**
     * @dev Mints `quantity` tokens and transfers them to `to`.
     *
     * This function is intended for efficient minting only during contract creation.
     *
     * It emits only one {ConsecutiveTransfer} as defined in
     * [ERC2309](https://eips.ethereum.org/EIPS/eip-2309),
     * instead of a sequence of {Transfer} event(s).
     *
     * Calling this function outside of contract creation WILL make your contract
     * non-compliant with the ERC721 standard.
     * For full ERC721 compliance, substituting ERC721 {Transfer} event(s) with the ERC2309
     * {ConsecutiveTransfer} event is only permissible during contract creation.
     *
     * Requirements:
     *
     * - `to` cannot be the zero address.
     * - `quantity` must be greater than 0.
     *
     * Emits a {ConsecutiveTransfer} event.
     */
    function _mintERC2309(address to, uint256 quantity) internal virtual {
        uint256 startTokenId = _currentIndex;
        if (to == address(0)) _revert(MintToZeroAddress.selector);
        if (quantity == 0) _revert(MintZeroQuantity.selector);
        if (quantity > _MAX_MINT_ERC2309_QUANTITY_LIMIT) _revert(MintERC2309QuantityExceedsLimit.selector);

        _beforeTokenTransfers(address(0), to, startTokenId, quantity);

        // Overflows are unrealistic due to the above check for `quantity` to be below the limit.
        unchecked {
            // Updates:
            // - `balance += quantity`.
            // - `numberMinted += quantity`.
            //
            // We can directly add to the `balance` and `numberMinted`.
            _packedAddressData[to] += quantity * ((1 << _BITPOS_NUMBER_MINTED) | 1);

            // Updates:
            // - `address` to the owner.
            // - `startTimestamp` to the timestamp of minting.
            // - `burned` to `false`.
            // - `nextInitialized` to `quantity == 1`.
            _packedOwnerships[startTokenId] = _packOwnershipData(
                to,
                _nextInitializedFlag(quantity) | _nextExtraData(address(0), to, 0)
            );

            if (startTokenId + quantity - 1 > _sequentialUpTo()) _revert(SequentialMintExceedsLimit.selector);

            emit ConsecutiveTransfer(startTokenId, startTokenId + quantity - 1, address(0), to);

            _currentIndex = startTokenId + quantity;
        }
        _afterTokenTransfers(address(0), to, startTokenId, quantity);
    }

    /**
     * @dev Safely mints `quantity` tokens and transfers them to `to`.
     *
     * Requirements:
     *
     * - If `to` refers to a smart contract, it must implement
     * {IERC721Receiver-onERC721Received}, which is called for each safe transfer.
     * - `quantity` must be greater than 0.
     *
     * See {_mint}.
     *
     * Emits a {Transfer} event for each mint.
     */
    function _safeMint(
        address to,
        uint256 quantity,
        bytes memory _data
    ) internal virtual {
        _mint(to, quantity);

        unchecked {
            if (to.code.length != 0) {
                uint256 end = _currentIndex;
                uint256 index = end - quantity;
                do {
                    if (!_checkContractOnERC721Received(address(0), to, index++, _data)) {
                        _revert(TransferToNonERC721ReceiverImplementer.selector);
                    }
                } while (index < end);
                // This prevents reentrancy to `_safeMint`.
                // It does not prevent reentrancy to `_safeMintSpot`.
                if (_currentIndex != end) revert();
            }
        }
    }

    /**
     * @dev Equivalent to `_safeMint(to, quantity, '')`.
     */
    function _safeMint(address to, uint256 quantity) internal virtual {
        _safeMint(to, quantity, '');
    }

    /**
     * @dev Mints a single token at `tokenId`.
     *
     * Note: A spot-minted `tokenId` that has been burned can be re-minted again.
     *
     * Requirements:
     *
     * - `to` cannot be the zero address.
     * - `tokenId` must be greater than `_sequentialUpTo()`.
     * - `tokenId` must not exist.
     *
     * Emits a {Transfer} event for each mint.
     */
    function _mintSpot(address to, uint256 tokenId) internal virtual {
        if (tokenId <= _sequentialUpTo()) _revert(SpotMintTokenIdTooSmall.selector);
        uint256 prevOwnershipPacked = _packedOwnerships[tokenId];
        if (_packedOwnershipExists(prevOwnershipPacked)) _revert(TokenAlreadyExists.selector);

        _beforeTokenTransfers(address(0), to, tokenId, 1);

        // Overflows are incredibly unrealistic.
        // The `numberMinted` for `to` is incremented by 1, and has a max limit of 2**64 - 1.
        // `_spotMinted` is incremented by 1, and has a max limit of 2**256 - 1.
        unchecked {
            // Updates:
            // - `address` to the owner.
            // - `startTimestamp` to the timestamp of minting.
            // - `burned` to `false`.
            // - `nextInitialized` to `true` (as `quantity == 1`).
            _packedOwnerships[tokenId] = _packOwnershipData(
                to,
                _nextInitializedFlag(1) | _nextExtraData(address(0), to, prevOwnershipPacked)
            );

            // Updates:
            // - `balance += 1`.
            // - `numberMinted += 1`.
            //
            // We can directly add to the `balance` and `numberMinted`.
            _packedAddressData[to] += (1 << _BITPOS_NUMBER_MINTED) | 1;

            // Mask `to` to the lower 160 bits, in case the upper bits somehow aren't clean.
            uint256 toMasked = uint256(uint160(to)) & _BITMASK_ADDRESS;

            if (toMasked == 0) _revert(MintToZeroAddress.selector);

            assembly {
                // Emit the `Transfer` event.
                log4(
                    0, // Start of data (0, since no data).
                    0, // End of data (0, since no data).
                    _TRANSFER_EVENT_SIGNATURE, // Signature.
                    0, // `address(0)`.
                    toMasked, // `to`.
                    tokenId // `tokenId`.
                )
            }

            ++_spotMinted;
        }

        _afterTokenTransfers(address(0), to, tokenId, 1);
    }

    /**
     * @dev Safely mints a single token at `tokenId`.
     *
     * Note: A spot-minted `tokenId` that has been burned can be re-minted again.
     *
     * Requirements:
     *
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}.
     * - `tokenId` must be greater than `_sequentialUpTo()`.
     * - `tokenId` must not exist.
     *
     * See {_mintSpot}.
     *
     * Emits a {Transfer} event.
     */
    function _safeMintSpot(
        address to,
        uint256 tokenId,
        bytes memory _data
    ) internal virtual {
        _mintSpot(to, tokenId);

        unchecked {
            if (to.code.length != 0) {
                uint256 currentSpotMinted = _spotMinted;
                if (!_checkContractOnERC721Received(address(0), to, tokenId, _data)) {
                    _revert(TransferToNonERC721ReceiverImplementer.selector);
                }
                // This prevents reentrancy to `_safeMintSpot`.
                // It does not prevent reentrancy to `_safeMint`.
                if (_spotMinted != currentSpotMinted) revert();
            }
        }
    }

    /**
     * @dev Equivalent to `_safeMintSpot(to, tokenId, '')`.
     */
    function _safeMintSpot(address to, uint256 tokenId) internal virtual {
        _safeMintSpot(to, tokenId, '');
    }

    // =============================================================
    //                       APPROVAL OPERATIONS
    // =============================================================

    /**
     * @dev Equivalent to `_approve(to, tokenId, false)`.
     */
    function _approve(address to, uint256 tokenId) internal virtual {
        _approve(to, tokenId, false);
    }

    /**
     * @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:
     *
     * - `tokenId` must exist.
     *
     * Emits an {Approval} event.
     */
    function _approve(
        address to,
        uint256 tokenId,
        bool approvalCheck
    ) internal virtual {
        address owner = ownerOf(tokenId);

        if (approvalCheck && _msgSenderERC721A() != owner)
            if (!isApprovedForAll(owner, _msgSenderERC721A())) {
                _revert(ApprovalCallerNotOwnerNorApproved.selector);
            }

        _tokenApprovals[tokenId].value = to;
        emit Approval(owner, to, tokenId);
    }

    // =============================================================
    //                        BURN OPERATIONS
    // =============================================================

    /**
     * @dev Equivalent to `_burn(tokenId, false)`.
     */
    function _burn(uint256 tokenId) internal virtual {
        _burn(tokenId, false);
    }

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

        address from = address(uint160(prevOwnershipPacked));

        (uint256 approvedAddressSlot, address approvedAddress) = _getApprovedSlotAndAddress(tokenId);

        if (approvalCheck) {
            // The nested ifs save around 20+ gas over a compound boolean condition.
            if (!_isSenderApprovedOrOwner(approvedAddress, from, _msgSenderERC721A()))
                if (!isApprovedForAll(from, _msgSenderERC721A())) _revert(TransferCallerNotOwnerNorApproved.selector);
        }

        _beforeTokenTransfers(from, address(0), tokenId, 1);

        // Clear approvals from the previous owner.
        assembly {
            if approvedAddress {
                // This is equivalent to `delete _tokenApprovals[tokenId]`.
                sstore(approvedAddressSlot, 0)
            }
        }

        // Underflow of the sender's balance is impossible because we check for
        // ownership above and the recipient's balance can't realistically overflow.
        // Counter overflow is incredibly unrealistic as `tokenId` would have to be 2**256.
        unchecked {
            // Updates:
            // - `balance -= 1`.
            // - `numberBurned += 1`.
            //
            // We can directly decrement the balance, and increment the number burned.
            // This is equivalent to `packed -= 1; packed += 1 << _BITPOS_NUMBER_BURNED;`.
            _packedAddressData[from] += (1 << _BITPOS_NUMBER_BURNED) - 1;

            // Updates:
            // - `address` to the last owner.
            // - `startTimestamp` to the timestamp of burning.
            // - `burned` to `true`.
            // - `nextInitialized` to `true`.
            _packedOwnerships[tokenId] = _packOwnershipData(
                from,
                (_BITMASK_BURNED | _BITMASK_NEXT_INITIALIZED) | _nextExtraData(from, address(0), prevOwnershipPacked)
            );

            // If the next slot may not have been initialized (i.e. `nextInitialized == false`) .
            if (prevOwnershipPacked & _BITMASK_NEXT_INITIALIZED == 0) {
                uint256 nextTokenId = tokenId + 1;
                // If the next slot's address is zero and not burned (i.e. packed value is zero).
                if (_packedOwnerships[nextTokenId] == 0) {
                    // If the next slot is within bounds.
                    if (nextTokenId != _currentIndex) {
                        // Initialize the next slot to maintain correctness for `ownerOf(tokenId + 1)`.
                        _packedOwnerships[nextTokenId] = prevOwnershipPacked;
                    }
                }
            }
        }

        emit Transfer(from, address(0), tokenId);
        _afterTokenTransfers(from, address(0), tokenId, 1);

        // Overflow not possible, as `_burnCounter` cannot be exceed `_currentIndex + _spotMinted` times.
        unchecked {
            _burnCounter++;
        }
    }

    // =============================================================
    //                     EXTRA DATA OPERATIONS
    // =============================================================

    /**
     * @dev Directly sets the extra data for the ownership data `index`.
     */
    function _setExtraDataAt(uint256 index, uint24 extraData) internal virtual {
        uint256 packed = _packedOwnerships[index];
        if (packed == 0) _revert(OwnershipNotInitializedForExtraData.selector);
        uint256 extraDataCasted;
        // Cast `extraData` with assembly to avoid redundant masking.
        assembly {
            extraDataCasted := extraData
        }
        packed = (packed & _BITMASK_EXTRA_DATA_COMPLEMENT) | (extraDataCasted << _BITPOS_EXTRA_DATA);
        _packedOwnerships[index] = packed;
    }

    /**
     * @dev Called during each token transfer to set the 24bit `extraData` field.
     * Intended to be overridden by the cosumer contract.
     *
     * `previousExtraData` - the value of `extraData` before transfer.
     *
     * 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, `tokenId` will be burned by `from`.
     * - `from` and `to` are never both zero.
     */
    function _extraData(
        address from,
        address to,
        uint24 previousExtraData
    ) internal view virtual returns (uint24) {}

    /**
     * @dev Returns the next extra data for the packed ownership data.
     * The returned result is shifted into position.
     */
    function _nextExtraData(
        address from,
        address to,
        uint256 prevOwnershipPacked
    ) private view returns (uint256) {
        uint24 extraData = uint24(prevOwnershipPacked >> _BITPOS_EXTRA_DATA);
        return uint256(_extraData(from, to, extraData)) << _BITPOS_EXTRA_DATA;
    }

    // =============================================================
    //                       OTHER OPERATIONS
    // =============================================================

    /**
     * @dev Returns the message sender (defaults to `msg.sender`).
     *
     * If you are writing GSN compatible contracts, you need to override this function.
     */
    function _msgSenderERC721A() internal view virtual returns (address) {
        return msg.sender;
    }

    /**
     * @dev Converts a uint256 to its ASCII string decimal representation.
     */
    function _toString(uint256 value) internal pure virtual returns (string memory str) {
        assembly {
            // The maximum value of a uint256 contains 78 digits (1 byte per digit), but
            // we allocate 0xa0 bytes to keep the free memory pointer 32-byte word aligned.
            // We will need 1 word for the trailing zeros padding, 1 word for the length,
            // and 3 words for a maximum of 78 digits. Total: 5 * 0x20 = 0xa0.
            let m := add(mload(0x40), 0xa0)
            // Update the free memory pointer to allocate.
            mstore(0x40, m)
            // Assign the `str` to the end.
            str := sub(m, 0x20)
            // Zeroize the slot after the string.
            mstore(str, 0)

            // Cache the end of the memory to calculate the length later.
            let end := str

            // We write the string from rightmost digit to leftmost digit.
            // The following is essentially a do-while loop that also handles the zero case.
            // prettier-ignore
            for { let temp := value } 1 {} {
                str := sub(str, 1)
                // Write the character to the pointer.
                // The ASCII index of the '0' character is 48.
                mstore8(str, add(48, mod(temp, 10)))
                // Keep dividing `temp` until zero.
                temp := div(temp, 10)
                // prettier-ignore
                if iszero(temp) { break }
            }

            let length := sub(end, str)
            // Move the pointer 32 bytes leftwards to make room for the length.
            str := sub(str, 0x20)
            // Store the length.
            mstore(str, length)
        }
    }

    /**
     * @dev For more efficient reverts.
     */
    function _revert(bytes4 errorSelector) internal pure {
        assembly {
            mstore(0x00, errorSelector)
            revert(0x00, 0x04)
        }
    }
}

// SPDX-License-Identifier: MIT
// ERC721A Contracts v4.3.0
// Creator: Chiru Labs

pragma solidity ^0.8.4;

/**
 * @dev Interface of ERC721A.
 */
interface IERC721A {
    /**
     * The caller must own the token or be an approved operator.
     */
    error ApprovalCallerNotOwnerNorApproved();

    /**
     * The token does not exist.
     */
    error ApprovalQueryForNonexistentToken();

    /**
     * Cannot query the balance for the zero address.
     */
    error BalanceQueryForZeroAddress();

    /**
     * Cannot mint to the zero address.
     */
    error MintToZeroAddress();

    /**
     * The quantity of tokens minted must be more than zero.
     */
    error MintZeroQuantity();

    /**
     * The token does not exist.
     */
    error OwnerQueryForNonexistentToken();

    /**
     * The caller must own the token or be an approved operator.
     */
    error TransferCallerNotOwnerNorApproved();

    /**
     * The token must be owned by `from`.
     */
    error TransferFromIncorrectOwner();

    /**
     * Cannot safely transfer to a contract that does not implement the
     * ERC721Receiver interface.
     */
    error TransferToNonERC721ReceiverImplementer();

    /**
     * Cannot transfer to the zero address.
     */
    error TransferToZeroAddress();

    /**
     * The token does not exist.
     */
    error URIQueryForNonexistentToken();

    /**
     * The `quantity` minted with ERC2309 exceeds the safety limit.
     */
    error MintERC2309QuantityExceedsLimit();

    /**
     * The `extraData` cannot be set on an unintialized ownership slot.
     */
    error OwnershipNotInitializedForExtraData();

    /**
     * `_sequentialUpTo()` must be greater than `_startTokenId()`.
     */
    error SequentialUpToTooSmall();

    /**
     * The `tokenId` of a sequential mint exceeds `_sequentialUpTo()`.
     */
    error SequentialMintExceedsLimit();

    /**
     * Spot minting requires a `tokenId` greater than `_sequentialUpTo()`.
     */
    error SpotMintTokenIdTooSmall();

    /**
     * Cannot mint over a token that already exists.
     */
    error TokenAlreadyExists();

    /**
     * The feature is not compatible with spot mints.
     */
    error NotCompatibleWithSpotMints();

    // =============================================================
    //                            STRUCTS
    // =============================================================

    struct TokenOwnership {
        // The address of the owner.
        address addr;
        // Stores the start time of ownership with minimal overhead for tokenomics.
        uint64 startTimestamp;
        // Whether the token has been burned.
        bool burned;
        // Arbitrary data similar to `startTimestamp` that can be set via {_extraData}.
        uint24 extraData;
    }

    // =============================================================
    //                         TOKEN COUNTERS
    // =============================================================

    /**
     * @dev Returns the total number of tokens in existence.
     * Burned tokens will reduce the count.
     * To get the total number of tokens minted, please see {_totalMinted}.
     */
    function totalSupply() external view returns (uint256);

    // =============================================================
    //                            IERC165
    // =============================================================

    /**
     * @dev Returns true if this contract implements the interface defined by
     * `interfaceId`. See the corresponding
     * [EIP section](https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified)
     * to learn more about how these ids are created.
     *
     * This function call must use less than 30000 gas.
     */
    function supportsInterface(bytes4 interfaceId) external view returns (bool);

    // =============================================================
    //                            IERC721
    // =============================================================

    /**
     * @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,
        bytes calldata data
    ) external payable;

    /**
     * @dev Equivalent to `safeTransferFrom(from, to, tokenId, '')`.
     */
    function safeTransferFrom(
        address from,
        address to,
        uint256 tokenId
    ) external payable;

    /**
     * @dev Transfers `tokenId` 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 payable;

    /**
     * @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 payable;

    /**
     * @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);

    // =============================================================
    //                        IERC721Metadata
    // =============================================================

    /**
     * @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);

    // =============================================================
    //                           IERC2309
    // =============================================================

    /**
     * @dev Emitted when tokens in `fromTokenId` to `toTokenId`
     * (inclusive) is transferred from `from` to `to`, as defined in the
     * [ERC2309](https://eips.ethereum.org/EIPS/eip-2309) standard.
     *
     * See {_mintERC2309} for more details.
     */
    event ConsecutiveTransfer(uint256 indexed fromTokenId, uint256 toTokenId, address indexed from, address indexed to);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.1) (utils/Context.sol)

pragma solidity ^0.8.20;

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

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

    function _contextSuffixLength() internal view virtual returns (uint256) {
        return 0;
    }
}

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