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// SPDX-License-Identifier: MIT


/**********************************************************************
 *          ┓ •      •     ┓                                          *
 *    ┏┳┓┏┓┏┣┓┓┏┓┏┓  ┓┏┓  ╋┣┓┏┓                                       *
 *    ┛┗┗┗┻┗┛┗┗┛┗┗   ┗┛┗  ┗┛┗┗        ᵈᶦᶦᵈ ᵃⁿᵈ ᵛᵉʳᵗᵘ ᶠᶦⁿᵉ ᵃʳᵗ ᵖʳᵉˢᵉⁿᵗ *
 *  ░▒▓██████▓▒░░▒▓█▓▒░░▒▓█▓▒░░▒▓██████▓▒░ ░▒▓███████▓▒░▒▓████████▓▒░ *
 * ░▒▓█▓▒░      ░▒▓█▓▒░░▒▓█▓▒░▒▓█▓▒░░▒▓█▓▒░▒▓█▓▒░         ░▒▓█▓▒░     *
 * ░▒▓█▓▒▒▓███▓▒░▒▓████████▓▒░▒▓█▓▒░░▒▓█▓▒░░▒▓██████▓▒░   ░▒▓█▓▒░     *
 * ░▒▓█▓▒░░▒▓█▓▒░▒▓█▓▒░░▒▓█▓▒░▒▓█▓▒░░▒▓█▓▒░      ░▒▓█▓▒░  ░▒▓█▓▒░     *
 *  ░▒▓██████▓▒░░▒▓█▓▒░░▒▓█▓▒░░▒▓██████▓▒░░▒▓███████▓▒░   ░▒▓█▓▒░     *
 *                                                                    *
 **********************************************************************/



pragma solidity ^0.8.20;

import "erc721a/contracts/ERC721A.sol";

import "@openzeppelin/contracts/access/Ownable.sol";
import "@openzeppelin/contracts/utils/Strings.sol";
import "@openzeppelin/contracts/utils/cryptography/MerkleProof.sol";

import "solady/src/utils/SSTORE2.sol";
import "solady/src/utils/Base64.sol";

abstract contract InflateLib {
    function puff(bytes memory source, uint256 destlen) external pure virtual returns (bytes memory);
}

contract MachineInTheGhost is ERC721A, Ownable(msg.sender) {
    InflateLib inflateLib;

    struct Image {
        address[] pointers;
        uint length;
        string name;
    }

    Image[64] public images;

    struct Palette {
        string name;
        bytes1[3][] colors;
    }

    Palette[32] public palettes;

    struct BayerGrid {
        uint[16] grid;
        uint length;
        string name;
    }

    BayerGrid[16] public bayerGrids;

    bytes32[16] physicals;

    uint seed;

    bool locked = false;

    uint MAX_SUPPLY = 512;
    uint PHYSICALS = 16;
    uint RESERVED = 32;
    uint price = .1 ether;
    bytes32 ZERO_HASH = 0x00000000000000000000000000000000;

    uint public allowlistStartTime;
    uint public publicStartTime;
    bytes32 public root;

    mapping(address => uint) public minted;

    mapping(uint => bytes32) hashes;

    /*
       ______  ______  ______  __  __  ______  
      /\  ___\/\  ___\/\__  _\/\ \/\ \/\  == \ 
      \ \___  \ \  __\\/_/\ \/\ \ \_\ \ \  _-/ 
       \/\_____\ \_____\ \ \_\ \ \_____\ \_\   
        \/_____/\/_____/  \/_/  \/_____/\/_/   
                     begin setup
                 (aka pre-mint stuff)
    */

    constructor(address inflate) ERC721A("machine in the ghost", "MITG") {
        inflateLib = InflateLib(inflate);

        root = 0xacd18baca68279e4a841c887392d24ed6a03564c07be64ac5b5bdd556aae9475;

        _mintERC2309(msg.sender, 16);
        seed = block.timestamp;
    }

    modifier isUnlocked() {
        require(!locked, 'Contract is locked and cannot be edited');
        _;
    }

    function lockContract() public onlyOwner {
        locked = true;
    }

    function setPhysicals(bytes32[] memory _physicals) public onlyOwner isUnlocked {
        for (uint i = 0; i < _physicals.length; i++) {
            physicals[i] = _physicals[i];
        }
    }

    function setPhysical(bytes32 physical, uint i) public onlyOwner isUnlocked {
        physicals[i] = physical;
    }

    function setImages(Image[] memory _images) public onlyOwner isUnlocked {
        for (uint i = 0; i < _images.length; i++) {
            images[i] = _images[i];
        }
    }

    function setPalettes(Palette[] calldata _palettes) public onlyOwner isUnlocked {
        for (uint i = 0; i < _palettes.length; i++) {
            palettes[i] = _palettes[i];
        }
    }

    function setBayerGrids(BayerGrid[] calldata grids) public onlyOwner isUnlocked {
        for (uint i = 0; i < grids.length; i++) {
            bayerGrids[i] = grids[i];
        }
    }

    function _startTokenId() internal view virtual override returns (uint256) {
        return 1;
    }

    /* end setup */

    /*
        __  __  ______  __  __        
       /\ \/\ \/\__  _\/\ \/\ \       
       \ \ \_\ \/_/\ \/\ \ \ \ \____  
        \ \_____\ \ \_\ \ \_\ \_____\ 
         \/_____/  \/_/  \/_/\/_____/ 
                 begin util
    (aka everything that was barely touched)
    */

    function _max(int[3] memory options) private pure returns (int) {
        int max = 0;
        for (uint i = 0; i < options.length; i++) {
            if (options[i] > max) max = options[i];
        }

        return max;
    }
    
    function _min(int[3] memory options) private pure returns (int) {
        int min = 0xFFFFFFFFFFFFFFFF;

        for (uint i = 0; i < options.length; i++) {
            if (options[i] < min) min = options[i];
        }

        return min;
    }

    function _loadRawImage(uint imageId) private view returns (bytes memory) {
        Image memory image = images[imageId];

        // unroll the loop for efficiency, nothing is bigger than 50kb
        bytes memory data = SSTORE2.read(image.pointers[0]);
        if (image.pointers.length > 1) {
            data = abi.encodePacked(data, SSTORE2.read(image.pointers[1]));
        }

        data = inflateLib.puff(data, image.length);

        return data;
    }

    function _wrap(string memory imageUri, uint width, uint height) private pure returns(string memory) {
        string memory w = Strings.toString(width * 10);
        string memory h = Strings.toString(height * 10);

        return string(abi.encodePacked(
            '<svg viewBox="0 0 ', w, ' ', h, '" width="', w, '" height="', h, '" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><defs><style>image {image-rendering: optimizeSpeed;image-rendering: -moz-crisp-edges;image-rendering: -o-crisp-edges;image-rendering: -webkit-optimize-contrast;image-rendering: optimize-contrast;image-rendering: crisp-edges;image-rendering: pixelated;-ms-interpolation-mode: nearest-neighbor;}</style></defs><image width="', w, 'px" height="', h, 'px" href="data:image/bmp;base64,', imageUri, '" /></svg>'
        ));
    }

    function _getDouble(bytes1 first, bytes1 second) private pure returns(uint) {
        return (uint(uint8(first)) << 8) + uint8(second);
    }

    /* end util */

    /*
     __    __  ______  ______  ______  _____   ______  ______  ______    
    /\ "-./  \/\  ___\/\__  _\/\  __ \/\  __-./\  __ \/\__  _\/\  __ \   
    \ \ \-./\ \ \  __\\/_/\ \/\ \  __ \ \ \/\ \ \  __ \/_/\ \/\ \  __ \  
     \ \_\ \ \_\ \_____\ \ \_\ \ \_\ \_\ \____-\ \_\ \_\ \ \_\ \ \_\ \_\ 
      \/_/  \/_/\/_____/  \/_/  \/_/\/_/\/____/ \/_/\/_/  \/_/  \/_/\/_/ 
                                start metadata
    */
    function _paletteName(bytes32 hash) private view returns(string memory) {
        return palettes[uint8(hash[1]) % palettes.length].name;
    }

    function _imageId(bytes32 hash) private pure returns(uint) {
        return uint(uint8(hash[0])) & 0x3F;
    }

    function _bayerGrid(bytes32 hash) private view returns(string memory) {
        uint alg = (uint8(hash[2]) % 8 > 0) ? 1 : 0;
        uint gridIndex = (uint8(hash[3]) & 0x0f) % bayerGrids.length;
        if (alg == 0) {
            gridIndex = gridIndex % 4;
        }

        return bayerGrids[gridIndex].name;
    }

    function _comparison(bytes32 hash) private pure returns(string memory) {
        uint comp = (uint8(hash[3]) >> 4) % 3;

        if (comp == 0) {
            return "RGB";
        } else if (comp == 1) {
            return "Luma";
        } else {
            return "Lightness";
        }
    }

    function _initialPalette(bytes32 hash) private view returns(bytes1[3][] memory) {
        return palettes[uint8(hash[1]) % palettes.length].colors;
    }

    function _getNewHash() private view returns (bytes32) {
        return keccak256(abi.encodePacked(seed, _nextTokenId(), msg.sender, block.timestamp));
    }

    function getHash(uint256 tokenId) public view returns (bytes32) {
        if (tokenId <= 16) return physicals[tokenId - 1];
        else if (hashes[tokenId] != ZERO_HASH) return hashes[tokenId];

        return keccak256(abi.encodePacked(tokenId, seed));
    }

    function getProperties(bytes32 hash) public view returns (string memory) {
        string memory attributes = '"attributes": [';
        string memory image = images[_imageId(hash)].name;
        string memory grid = _bayerGrid(hash);
        string memory comparison = _comparison(hash);
        string memory palette = _paletteName(hash);
        uint colorCorrect = (uint8(hash[4]) & 0x0f) % 10;

        if (colorCorrect > 6) {
            attributes = string(abi.encodePacked(
                attributes,
                '{"trait_type":"color correction","value":"true"},'
            ));
        }

        if (colorCorrect < 9) {
            // bayer grid
            attributes = string(abi.encodePacked(
                attributes,
                '{"trait_type":"grid","value":"',
                grid,
                '"},'
            ));
        }

        // image
        attributes = string(abi.encodePacked(
            attributes,
            '{"trait_type":"source","value":"',
            image,
            '"},'
        ));

        // palette
        attributes = string(abi.encodePacked(
            attributes,
            '{"trait_type":"palette","value":"',
            palette,
            '"},'
        ));

        // comparison
        attributes = string(abi.encodePacked(
            attributes,
            '{"trait_type":"comparison","value":"',
            comparison,
            '"}'
        ));

        return string(
            abi.encodePacked(
                attributes,
                ']'
            )
        );
    }

    function tokenURI(uint256 tokenId) public view virtual override returns (string memory) {
        bytes32 hash = getHash(tokenId);
        return string(abi.encodePacked(
            'data:application/json;utf8,{"name":"',
            Strings.toString(tokenId),
            '","image":"data:image/svg+xml;base64,',
            Base64.encode(bytes(generate(hash))),
            '",',
            getProperties(hash),
            '}'
        ));  
    }

    /* end metadata */

    /*
     ______  ______  __      ______  ______    
    /\  ___\/\  __ \/\ \    /\  __ \/\  == \   
    \ \ \___\ \ \/\ \ \ \___\ \ \/\ \ \  __<   
     \ \_____\ \_____\ \_____\ \_____\ \_\ \_\ 
      \/_____/\/_____/\/_____/\/_____/\/_/ /_/ 
                    start color
    */

    function _writeColorTable(bytes memory data, bytes1[3][] memory colorTable) private pure returns(bytes memory) {
        for (uint i = 0; i < colorTable.length; i++) {
            data[0x36 + i * 4] = colorTable[i][2];
            data[0x36 + i * 4 + 1] = colorTable[i][1];
            data[0x36 + i * 4 + 2] = colorTable[i][0];
        }

        return data;
    }

    function _writeFullColorTable(bytes memory data, bytes1[3][16] memory colorTable) private pure returns(bytes memory) {
        for (uint i = 0; i < 16; i++) {
            data[0x36 + i * 4] = colorTable[i][2];
            data[0x36 + i * 4 + 1] = colorTable[i][1];
            data[0x36 + i * 4 + 2] = colorTable[i][0];
        }

        return data;
    }

    function _extractColorTable(bytes memory data) private pure returns(bytes1[3][16] memory) {
        bytes1[3][16] memory colorTable;
        for (uint i = 0; i < 16; i++) {
            colorTable[i][2] = data[0x36 + i * 4];
            colorTable[i][1] = data[0x36 + i * 4 + 1];
            colorTable[i][0] = data[0x36 + i * 4 + 2];
        }

        return colorTable;
    }

    function _diff(uint a, uint b) private pure returns(uint) {
        uint d;
        if (a > b) {
            d = a - b;
        } else {
            d = b - a;
        }

        return d * d;
    }

    function _diffb(bytes1 a, bytes1 b) private pure returns(uint) {
        return _diff(uint8(a), uint8(b));
    }

    function _distRGB(bytes1[3] memory a, bytes1[3] memory b) private pure returns(uint) {
        return _diffb(a[0], b[0]) + _diffb(a[1], b[1]) + _diffb(a[2], b[2]);
    }

    function _distLightness(bytes1[3] memory a, bytes1[3] memory b) private pure returns(uint) {
        uint b1 = _getBrightness(a);
        uint b2 = _getBrightness(b);

        return _diff(b1, b2);
    }

    function _distLuma(bytes1[3] memory x, bytes1[3] memory y) private pure returns(uint) {
        uint lumadiff = _distLightness(x, y);

        uint r = _diffb(x[0], y[0]);
        uint g = _diffb(x[1], y[1]);
        uint b = _diffb(x[2], y[2]);

        return _getBrightnessInt(r, g, b) * 3 / 4 + lumadiff * lumadiff;
    }

    function _dist(bytes1[3] memory a, bytes1[3] memory b, uint alg) private pure returns (uint) {
        if (alg == 0) {
            return _distRGB(a, b);
        } else if (alg == 1) {
            return _distLuma(a, b);
        } else {
            return _distLightness(a, b);
        }
    }

    function _getBrightnessInt(uint r, uint g, uint b) private pure returns (uint) {
        uint bright = 299 * r + 587 * g + 114 * b;

        return bright / 1000;

    }

    function _getBrightness(bytes1[3] memory color) private pure returns(uint) {
        return _getBrightnessInt(uint(uint8(color[0])), uint(uint8(color[1])), uint(uint8(color[2])));
    }

    function _getNormalizedPalette(bytes1[3][16] memory colorTable, uint len) private pure returns(bytes1[3][] memory) {
        uint[16] memory brightnesses;
        bytes1[3][] memory returnVal = new bytes1[3][](len);

        for (uint i = 0; i < 16; i++) {
            brightnesses[i] = 0;
        }

        for (uint i = 0; i < 16; i++) {
            uint brightness = _getBrightness(colorTable[i]);

            brightnesses[i] = brightness;

            for (uint j = 0; j < i; j++) {
                if (brightnesses[j] >= brightness) {
                    if (j < 15) {
                        brightnesses[j + 1] = brightnesses[j];
                    }

                    brightnesses[j] = brightness;
                    
                    break;
                }
            }
        }

        for (uint i = 0; i < len; i++) {
            uint j = i * 15 / (len - 1);
            uint b = brightnesses[j];

            if (i == 0 && b > 0) b--;
            else if (i == len - 1 && b < 255) b++;

            returnVal[i] = [
                abi.encodePacked(b)[0],
                abi.encodePacked(b)[0],
                abi.encodePacked(b)[0]
            ];
        }

        return returnVal;
    }

    /* end color */

    /*
     _____   __  ______  __  __  ______  ______    
    /\  __-./\ \/\__  _\/\ \_\ \/\  ___\/\  == \   
    \ \ \/\ \ \ \/_/\ \/\ \  __ \ \  __\\ \  __<   
     \ \____-\ \_\ \ \_\ \ \_\ \_\ \_____\ \_\ \_\ 
      \/____/ \/_/  \/_/  \/_/\/_/\/_____/\/_/ /_/ 
                     start dithering
    */

    function _getBayerColor(bytes1 color, uint i, uint gridIndex) private view returns (bytes1) {
        uint[16] memory grid = bayerGrids[gridIndex].grid;
        uint offset = 180 / (bayerGrids[gridIndex].length);
        uint adjustment = 90;

        uint modifiedColor = uint(uint8(color)) + offset * grid[i];

        if (modifiedColor < adjustment) modifiedColor = adjustment;

        modifiedColor -= adjustment;

       return abi.encodePacked(uint8(modifiedColor & 0xFF))[0];
    }

    function _getBayerReplacements(uint len, bytes1[3][16] memory colorTable, bytes1[3][] memory palette, uint gridIndex, uint distAlg) private view returns(uint8[16][16] memory) {
        uint8[16][16] memory replacements;

        for (uint i = 0; i < len; i++) {
            for (uint j = 0; j < 16; j++) {
                bytes1[3] memory tempTable;
                tempTable[0] = _getBayerColor(colorTable[j][0], i, gridIndex);
                tempTable[1] = _getBayerColor(colorTable[j][1], i, gridIndex);
                tempTable[2] = _getBayerColor(colorTable[j][2], i, gridIndex);

                uint8 replacement;
                uint minDist = 3 * 256 * 256 + 1;

                for (uint8 c = 0; c < palette.length; c++) {
                    uint dist = _dist(tempTable, palette[c], distAlg);

                    if (dist < minDist) {
                        replacement = c;
                        minDist = dist;
                    }
                }

                replacements[i][j] = replacement;
            }
        }

        return replacements;
    }

    function _bayer(bytes1[3][16] memory colorTable, bytes1[3][] memory palette, bytes memory data, uint width, uint height, uint gridIndex, uint distAlg) private view {
        uint len = bayerGrids[gridIndex].length;
        uint8[16][16] memory replacements = _getBayerReplacements(len, colorTable, palette, gridIndex, distAlg);

        uint w = len == 4 ? 2 : 4;

        for (uint y = 0; y < height; y++) {
            for (uint x = 0; x < width / 2; x++) {
                uint i = 0x76 + (y * width) / 2 + x;

                uint8 p0 = uint8(data[i]) >> 4;
                uint8 p1 = uint8(data[i]) & 0x0F;

                uint j = w * (y % w) + (w / 2) * (x % (w / 2));

                data[i] = abi.encodePacked(
                    (replacements[j][p0] << 4) + replacements[j + 1][p1]
                )[0];
            }
        }
    }

    /* end dither */

    /*
     ______  ______  ______  ______  ______  ______  ______  
    /\  ___\/\  __ \/\  == \/\  == \/\  ___\/\  ___\/\__  _\ 
    \ \ \___\ \ \/\ \ \  __<\ \  __<\ \  __\\ \ \___\/_/\ \/ 
     \ \_____\ \_____\ \_\ \_\ \_\ \_\ \_____\ \_____\ \ \_\ 
      \/_____/\/_____/\/_/ /_/\/_/ /_/\/_____/\/_____/  \/_/ 
                       start color correction
    */

    function _getHSV(bytes1[3] memory color) private pure returns (int[3] memory) {
        int r = int(uint(uint8(color[0])));
        int g = int(uint(uint8(color[1])));
        int b = int(uint(uint8(color[2])));

        int v = _max([r, g, b]);
        int c = v - _min([r, g, b]);

        int h = 0;
        if (c == 0) {
            h = c;
        } else if (v == r) {
            h = (256 * (g - b)) / c;
        } else if (v == g) {
            h = 512 + (256 * (b - r)) / c;
        } else {
            h = 1024 + (256 * (r - g)) / c;
        }

        // sat = c / v
        return [
            (h < 0 ? h + 1536 : h) / 6,
            v != 0 ? (256 * c) / v : v,
            v
        ];
    }

    function _getRGBComponent(int n, int[3] memory color) private pure returns(bytes1) {
        int h = color[0];
        int s = color[1];
        int v = color[2];

        int k = (n * 256 + h * 6) % (6 * 256);
        int l = _min([k, 1024 - k, 256]);
        int m = l > 0 ? l : int(0);
        return abi.encodePacked(uint((v * (256 - (s * m) / 256)) / 256))[31];
    }

    function _getRGB(int[3] memory color) private pure returns (bytes1[3] memory) {
        return [
            _getRGBComponent(5, color),
            _getRGBComponent(3, color),
            _getRGBComponent(1, color)
        ];
    }

    function _shift(int val, int amount) private pure returns (int) {
        if (amount != 0) {
            val += amount;

            if (val < 0) val = 0;
            else if (val > 255) val = 255;
        }
        
        return val;
    }

    function _norm(uint n, int v, int val, int min, int max) private pure returns (int) {
        if (n == 0) return v;
        int offset = (8 * ((v * v) / 256 - v + 64)) / int(n);
        if (v > 128) {
            val -= offset;
            if (val < min) val = min;
        } else {
            val += offset;
            if (val > max) val = max;
        }

        return val;
    }

    function _hueShift(uint maxShift, uint targetHue, int h) private pure returns (int) {
        if (maxShift == 0) return h;
        uint dist;
        int change;

        if (int(targetHue) > h) {
            int c1 = int(targetHue) - h;
            int c2 = 255 - h + int(targetHue);

            if (c1 > c2) {
                dist = uint(c2);
                change = -c2;
            } else {
                dist = uint(c1);
                change = c2;
            }
        } else {
            int c1 = h - int(targetHue);
            int c2 = 255 - int(targetHue) + h;

            if (c1 < c2) {
                dist = uint(c1);
                change = -c1;
            } else {
                dist = uint(c2);
                change = c2;
            }
        }

        if (dist < maxShift) h = int(targetHue);
        else {
            h += change;

            if (h < 0) h = 256 + h;
            else if (h > 255) h = h - 256;
        }

        return h;
    }

    // start at random[5]
    function _colorCorrect(bytes1[3][16] memory colorTable, bytes32 random) private pure {
        int[3][16] memory hueTable;
        for (uint i = 0; i < 16; i++) {
            hueTable[i] = _getHSV(colorTable[i]);
        }

        /*
        satShift --> 5
        brightShift --> 6
        muddle --> 7
        satNorm --> 8
        hueNorm --> 9
        hueShift --> 10
        targetHue --> 11

        probably want to normalize these more
        */

        // simply move saturation up or down, -64 to 64 --> 6 bit
        int satShift = int(uint(uint8(random[5]) % 128)) - 64;

        // ignore brightness shift, use sat shift alongside it
        // to increase moodiness
        bool muddle = uint8(random[7]) % 2 > 0;

        // simply move brightness up or down, -64 to 64 --> 7 bit
        int brightShift = muddle ? satShift / 2 : int(uint(uint8(random[6]) % 128)) - 64;

        // increase saturation in dark colors, decrease in bright, 0 to 15
        uint satNorm = uint(uint8(random[8]) % 16);

        // warm colors in bright colors, cool in dark, 0 to 15
        uint hueNorm = uint(uint8(random[9]) % 16);

        // shift towards the target hue, 2 * hueShift is the max shift. 128 is a good max
        // target hue from 0 to 255
        uint hueShift = uint(uint8(random[10]) / 2);
        if (uint(uint8(random[11])) % 4 > 0) hueShift = 0;

        uint targetHue = uint(uint8(random[12]));

        for (uint i = 0; i < 16; i++) {
            int h = hueTable[i][0];
            int s = hueTable[i][1];
            int v = hueTable[i][2];

            s = _shift(s, satShift);
            v = _shift(v, brightShift);
            s = _norm(satNorm, v, s, 0, 255);
            h = _norm(hueNorm, v, s, 35, 200);
            h = _hueShift(hueShift, targetHue, h);

            hueTable[i] = [h, s, v];
        }
        
        for (uint i = 0; i < 16; i++) {
            colorTable[i] = _getRGB(hueTable[i]);
        }
    }

    /* end color correction */

    /*
     ______  ______  __   __  ______  ______  ______  ______  ______    
    /\  ___\/\  ___\/\ "-.\ \/\  ___\/\  == \/\  __ \/\__  _\/\  ___\   
    \ \ \__ \ \  __\\ \ \-.  \ \  __\\ \  __<\ \  __ \/_/\ \/\ \  __\   
     \ \_____\ \_____\ \_\\"\_\ \_____\ \_\ \_\ \_\ \_\ \ \_\ \ \_____\ 
      \/_____/\/_____/\/_/ \/_/\/_____/\/_/ /_/\/_/\/_/  \/_/  \/_____/ 
                              start generator
    */

    function render(bytes memory data, bytes1[3][] memory palette, uint8 alg, bool normalize, uint bayerIndex, uint distAlg, uint colorCorrect, bytes32 random) public view returns(string memory) {
        uint w = _getDouble(data[0x13], data[0x12]);
        uint h = _getDouble(data[0x17], data[0x16]);

        w = (w * 4 + 31) / 32;
        w = w * 8;

        bytes1[3][16] memory colorTable = _extractColorTable(data);

        if (colorCorrect < 9) {
            if (alg == 0) bayerIndex = bayerIndex % 4;
            if (normalize) {
                _bayer(colorTable, _getNormalizedPalette(colorTable, palette.length), data, w, h, bayerIndex, distAlg);
            } else {
                _bayer(colorTable, palette, data, w, h, bayerIndex, distAlg);
            }
            _writeColorTable(data, palette);
        }

 
        if (colorCorrect > 6) {
            // gotta re-extract the palette
            if (colorCorrect < 9) colorTable = _extractColorTable(data);

            _colorCorrect(colorTable, random);
            _writeFullColorTable(data, colorTable);
        }

        return _wrap(Base64.encode(data), w, h);
    }

    function generate(bytes32 hash) public view returns(string memory) {
        uint imageId = _imageId(hash);
        bytes1[3][] memory palette = _initialPalette(hash);

        bytes memory data = _loadRawImage(imageId);

        return render(data, palette, (uint8(hash[2]) % 8 > 0) ? 1 : 0, (uint8(hash[2]) << 4) % 2 == 1, (uint8(hash[3]) & 0x0f) % bayerGrids.length, (uint8(hash[3]) >> 4) % 3, (uint8(hash[4]) & 0x0f) % 10, hash);
    }

    /* end generator */

    /*
     __    __  __  __   __  ______  
    /\ "-./  \/\ \/\ "-.\ \/\__  _\ 
    \ \ \-./\ \ \ \ \ \-.  \/_/\ \/ 
     \ \_\ \ \_\ \_\ \_\\"\_\ \ \_\ 
      \/_/  \/_/\/_/\/_/ \/_/  \/_/ 
              start mint
    */

    function _publicSaleActive() internal view returns (bool) {
        return block.timestamp >= publicStartTime && publicStartTime != 0;
    }

    function _allowlistSaleActive() internal view returns (bool) {
        return block.timestamp >= allowlistStartTime && allowlistStartTime != 0;
    }

    function allowlistSaleActive() public view returns (bool) {
        return _allowlistSaleActive() && !_publicSaleActive();
    }

    function saleActive() public view returns (bool) {
        return _allowlistSaleActive() || _publicSaleActive();
    }

    function remainingAdminSupply() public view returns (uint) {
        return MAX_SUPPLY - _nextTokenId() + 1;
    }

    function remainingSupply() public view returns (uint) {
        return remainingAdminSupply() - RESERVED;
    }

    modifier isNotSoldOut(uint count) {
        require(remainingSupply() >= count, 'sold out!');
        _;
    }

    modifier isNotMintedOut(uint count) {
        require(remainingAdminSupply() >= count, 'minted out');
        _;
    }

    modifier hasPaid(uint count) {
        require(msg.value == price * count, 'you gotta pay to play');
        _;
    }

    modifier saleIsActive() {
        require(saleActive(), 'sale is not live');
        _;
    }

    modifier publicSaleIsActive() {
        require(_publicSaleActive(), 'sale is allowlist only');
        _;
    }

    function _mintTokenWithHash(bytes32 hash, address to) private {
        hashes[_nextTokenId()] = hash;
        _mint(to, 1);
    }

    function mint() public payable hasPaid(1) saleIsActive publicSaleIsActive isNotSoldOut(1) {
        _mintTokenWithHash(_getNewHash(), msg.sender);
    }

    function mintAllowlist(bytes32[] calldata proof, uint count) public payable hasPaid(count) saleIsActive isNotSoldOut(count) {
        require(
            MerkleProof.verifyCalldata(
                proof,
                root,
                keccak256(abi.encodePacked(msg.sender))
            ),
            'not on allowlist');
        require(minted[msg.sender] + count <= 3, 'already minted');

        minted[msg.sender] += count;
        for (uint i = 0; i < count; i++) {
            _mintTokenWithHash(_getNewHash(), msg.sender);
        }
    }

    function adminMint(bytes32[] calldata hashesToMint, address to, uint count) public onlyOwner isNotMintedOut(count) {
        for (uint i = 0; i < count; i++) {
            bytes32 hash = ZERO_HASH;

            if (hashesToMint.length > i) {
                hash = hashesToMint[i];
            }

            if (hash == ZERO_HASH) {
                hash = _getNewHash();
            }

            _mintTokenWithHash(hash, to);
        }
    }

    /* end mint */

    /*
      ______  _____   __    __  __  __   __    
     /\  __ \/\  __-./\ "-./  \/\ \/\ "-.\ \   
     \ \  __ \ \ \/\ \ \ \-./\ \ \ \ \ \-.  \  
      \ \_\ \_\ \____-\ \_\ \ \_\ \_\ \_\\"\_\ 
       \/_/\/_/\/____/ \/_/  \/_/\/_/\/_/ \/_/ 
                    begin admin
    */

    /**
     * @notice sets the merkle root for allowlist checking
     * 
     * @param _root the new root to set
     */
    function setRoot(bytes32 _root) external onlyOwner {
        root = _root;
    }

    /**
     * @notice immediately starts the public sale (no allowlist)
     */
    function startPublicSale() external onlyOwner {
        publicStartTime = block.timestamp;
        allowlistStartTime = block.timestamp;
    }

    /**
     * @notice starts the allowlist sale (signed AL spot required)
     */
    function startAllowlistSale() external onlyOwner {
        publicStartTime = 0;
        allowlistStartTime = block.timestamp;
    }

    /**
     * @notice sets the start time for public sale
     * 
     * @param start the start time
     */
    function setPublicStartTime(uint start) external onlyOwner {
        publicStartTime = start;
    }

    /**
     * @notice sets the start time for allowlist sale
     * 
     * @param start the start time
     */
    function setAllowlistStartTime(uint start) external onlyOwner {
        allowlistStartTime = start;
    }

    /**
     * @notice sets a new per-piece price
     * 
     * @param _price the new price to set
     */
    function setPrice(uint _price) external onlyOwner {
        price = _price;
    }

    /**
     * @notice withdraw to the owner
     */
    function withdraw() external onlyOwner {
        (bool s,) = owner().call{value: (address(this).balance)}("");
        require(s, "Withdraw failed.");
    }
    /* end admin */
}

// 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
// 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;
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (utils/cryptography/MerkleProof.sol)

pragma solidity ^0.8.20;

/**
 * @dev These functions deal with verification of Merkle Tree proofs.
 *
 * The tree and the proofs can be generated using our
 * https://github.com/OpenZeppelin/merkle-tree[JavaScript library].
 * You will find a quickstart guide in the readme.
 *
 * WARNING: You should avoid using leaf values that are 64 bytes long prior to
 * hashing, or use a hash function other than keccak256 for hashing leaves.
 * This is because the concatenation of a sorted pair of internal nodes in
 * the Merkle tree could be reinterpreted as a leaf value.
 * OpenZeppelin's JavaScript library generates Merkle trees that are safe
 * against this attack out of the box.
 */
library MerkleProof {
    /**
     *@dev The multiproof provided is not valid.
     */
    error MerkleProofInvalidMultiproof();

    /**
     * @dev Returns true if a `leaf` can be proved to be a part of a Merkle tree
     * defined by `root`. For this, a `proof` must be provided, containing
     * sibling hashes on the branch from the leaf to the root of the tree. Each
     * pair of leaves and each pair of pre-images are assumed to be sorted.
     */
    function verify(bytes32[] memory proof, bytes32 root, bytes32 leaf) internal pure returns (bool) {
        return processProof(proof, leaf) == root;
    }

    /**
     * @dev Calldata version of {verify}
     */
    function verifyCalldata(bytes32[] calldata proof, bytes32 root, bytes32 leaf) internal pure returns (bool) {
        return processProofCalldata(proof, leaf) == root;
    }

    /**
     * @dev Returns the rebuilt hash obtained by traversing a Merkle tree up
     * from `leaf` using `proof`. A `proof` is valid if and only if the rebuilt
     * hash matches the root of the tree. When processing the proof, the pairs
     * of leafs & pre-images are assumed to be sorted.
     */
    function processProof(bytes32[] memory proof, bytes32 leaf) internal pure returns (bytes32) {
        bytes32 computedHash = leaf;
        for (uint256 i = 0; i < proof.length; i++) {
            computedHash = _hashPair(computedHash, proof[i]);
        }
        return computedHash;
    }

    /**
     * @dev Calldata version of {processProof}
     */
    function processProofCalldata(bytes32[] calldata proof, bytes32 leaf) internal pure returns (bytes32) {
        bytes32 computedHash = leaf;
        for (uint256 i = 0; i < proof.length; i++) {
            computedHash = _hashPair(computedHash, proof[i]);
        }
        return computedHash;
    }

    /**
     * @dev Returns true if the `leaves` can be simultaneously proven to be a part of a Merkle tree defined by
     * `root`, according to `proof` and `proofFlags` as described in {processMultiProof}.
     *
     * CAUTION: Not all Merkle trees admit multiproofs. See {processMultiProof} for details.
     */
    function multiProofVerify(
        bytes32[] memory proof,
        bool[] memory proofFlags,
        bytes32 root,
        bytes32[] memory leaves
    ) internal pure returns (bool) {
        return processMultiProof(proof, proofFlags, leaves) == root;
    }

    /**
     * @dev Calldata version of {multiProofVerify}
     *
     * CAUTION: Not all Merkle trees admit multiproofs. See {processMultiProof} for details.
     */
    function multiProofVerifyCalldata(
        bytes32[] calldata proof,
        bool[] calldata proofFlags,
        bytes32 root,
        bytes32[] memory leaves
    ) internal pure returns (bool) {
        return processMultiProofCalldata(proof, proofFlags, leaves) == root;
    }

    /**
     * @dev Returns the root of a tree reconstructed from `leaves` and sibling nodes in `proof`. The reconstruction
     * proceeds by incrementally reconstructing all inner nodes by combining a leaf/inner node with either another
     * leaf/inner node or a proof sibling node, depending on whether each `proofFlags` item is true or false
     * respectively.
     *
     * CAUTION: Not all Merkle trees admit multiproofs. To use multiproofs, it is sufficient to ensure that: 1) the tree
     * is complete (but not necessarily perfect), 2) the leaves to be proven are in the opposite order they are in the
     * tree (i.e., as seen from right to left starting at the deepest layer and continuing at the next layer).
     */
    function processMultiProof(
        bytes32[] memory proof,
        bool[] memory proofFlags,
        bytes32[] memory leaves
    ) internal pure returns (bytes32 merkleRoot) {
        // This function rebuilds the root hash by traversing the tree up from the leaves. The root is rebuilt by
        // consuming and producing values on a queue. The queue starts with the `leaves` array, then goes onto the
        // `hashes` array. At the end of the process, the last hash in the `hashes` array should contain the root of
        // the Merkle tree.
        uint256 leavesLen = leaves.length;
        uint256 proofLen = proof.length;
        uint256 totalHashes = proofFlags.length;

        // Check proof validity.
        if (leavesLen + proofLen != totalHashes + 1) {
            revert MerkleProofInvalidMultiproof();
        }

        // The xxxPos values are "pointers" to the next value to consume in each array. All accesses are done using
        // `xxx[xxxPos++]`, which return the current value and increment the pointer, thus mimicking a queue's "pop".
        bytes32[] memory hashes = new bytes32[](totalHashes);
        uint256 leafPos = 0;
        uint256 hashPos = 0;
        uint256 proofPos = 0;
        // At each step, we compute the next hash using two values:
        // - a value from the "main queue". If not all leaves have been consumed, we get the next leaf, otherwise we
        //   get the next hash.
        // - depending on the flag, either another value from the "main queue" (merging branches) or an element from the
        //   `proof` array.
        for (uint256 i = 0; i < totalHashes; i++) {
            bytes32 a = leafPos < leavesLen ? leaves[leafPos++] : hashes[hashPos++];
            bytes32 b = proofFlags[i]
                ? (leafPos < leavesLen ? leaves[leafPos++] : hashes[hashPos++])
                : proof[proofPos++];
            hashes[i] = _hashPair(a, b);
        }

        if (totalHashes > 0) {
            if (proofPos != proofLen) {
                revert MerkleProofInvalidMultiproof();
            }
            unchecked {
                return hashes[totalHashes - 1];
            }
        } else if (leavesLen > 0) {
            return leaves[0];
        } else {
            return proof[0];
        }
    }

    /**
     * @dev Calldata version of {processMultiProof}.
     *
     * CAUTION: Not all Merkle trees admit multiproofs. See {processMultiProof} for details.
     */
    function processMultiProofCalldata(
        bytes32[] calldata proof,
        bool[] calldata proofFlags,
        bytes32[] memory leaves
    ) internal pure returns (bytes32 merkleRoot) {
        // This function rebuilds the root hash by traversing the tree up from the leaves. The root is rebuilt by
        // consuming and producing values on a queue. The queue starts with the `leaves` array, then goes onto the
        // `hashes` array. At the end of the process, the last hash in the `hashes` array should contain the root of
        // the Merkle tree.
        uint256 leavesLen = leaves.length;
        uint256 proofLen = proof.length;
        uint256 totalHashes = proofFlags.length;

        // Check proof validity.
        if (leavesLen + proofLen != totalHashes + 1) {
            revert MerkleProofInvalidMultiproof();
        }

        // The xxxPos values are "pointers" to the next value to consume in each array. All accesses are done using
        // `xxx[xxxPos++]`, which return the current value and increment the pointer, thus mimicking a queue's "pop".
        bytes32[] memory hashes = new bytes32[](totalHashes);
        uint256 leafPos = 0;
        uint256 hashPos = 0;
        uint256 proofPos = 0;
        // At each step, we compute the next hash using two values:
        // - a value from the "main queue". If not all leaves have been consumed, we get the next leaf, otherwise we
        //   get the next hash.
        // - depending on the flag, either another value from the "main queue" (merging branches) or an element from the
        //   `proof` array.
        for (uint256 i = 0; i < totalHashes; i++) {
            bytes32 a = leafPos < leavesLen ? leaves[leafPos++] : hashes[hashPos++];
            bytes32 b = proofFlags[i]
                ? (leafPos < leavesLen ? leaves[leafPos++] : hashes[hashPos++])
                : proof[proofPos++];
            hashes[i] = _hashPair(a, b);
        }

        if (totalHashes > 0) {
            if (proofPos != proofLen) {
                revert MerkleProofInvalidMultiproof();
            }
            unchecked {
                return hashes[totalHashes - 1];
            }
        } else if (leavesLen > 0) {
            return leaves[0];
        } else {
            return proof[0];
        }
    }

    /**
     * @dev Sorts the pair (a, b) and hashes the result.
     */
    function _hashPair(bytes32 a, bytes32 b) private pure returns (bytes32) {
        return a < b ? _efficientHash(a, b) : _efficientHash(b, a);
    }

    /**
     * @dev Implementation of keccak256(abi.encode(a, b)) that doesn't allocate or expand memory.
     */
    function _efficientHash(bytes32 a, bytes32 b) private pure returns (bytes32 value) {
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x00, a)
            mstore(0x20, b)
            value := keccak256(0x00, 0x40)
        }
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (utils/math/Math.sol)

pragma solidity ^0.8.20;

/**
 * @dev Standard math utilities missing in the Solidity language.
 */
library Math {
    /**
     * @dev Muldiv operation overflow.
     */
    error MathOverflowedMulDiv();

    enum Rounding {
        Floor, // Toward negative infinity
        Ceil, // Toward positive infinity
        Trunc, // Toward zero
        Expand // Away from zero
    }

    /**
     * @dev Returns the addition of two unsigned integers, with an overflow flag.
     */
    function tryAdd(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        unchecked {
            uint256 c = a + b;
            if (c < a) return (false, 0);
            return (true, c);
        }
    }

    /**
     * @dev Returns the subtraction of two unsigned integers, with an overflow flag.
     */
    function trySub(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        unchecked {
            if (b > a) return (false, 0);
            return (true, a - b);
        }
    }

    /**
     * @dev Returns the multiplication of two unsigned integers, with an overflow flag.
     */
    function tryMul(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        unchecked {
            // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
            // benefit is lost if 'b' is also tested.
            // See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522
            if (a == 0) return (true, 0);
            uint256 c = a * b;
            if (c / a != b) return (false, 0);
            return (true, c);
        }
    }

    /**
     * @dev Returns the division of two unsigned integers, with a division by zero flag.
     */
    function tryDiv(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        unchecked {
            if (b == 0) return (false, 0);
            return (true, a / b);
        }
    }

    /**
     * @dev Returns the remainder of dividing two unsigned integers, with a division by zero flag.
     */
    function tryMod(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        unchecked {
            if (b == 0) return (false, 0);
            return (true, a % b);
        }
    }

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

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

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

    /**
     * @dev Returns the ceiling of the division of two numbers.
     *
     * This differs from standard division with `/` in that it rounds towards infinity instead
     * of rounding towards zero.
     */
    function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) {
        if (b == 0) {
            // Guarantee the same behavior as in a regular Solidity division.
            return a / b;
        }

        // (a + b - 1) / b can overflow on addition, so we distribute.
        return a == 0 ? 0 : (a - 1) / b + 1;
    }

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

            // Handle non-overflow cases, 256 by 256 division.
            if (prod1 == 0) {
                // Solidity will revert if denominator == 0, unlike the div opcode on its own.
                // The surrounding unchecked block does not change this fact.
                // See https://docs.soliditylang.org/en/latest/control-structures.html#checked-or-unchecked-arithmetic.
                return prod0 / denominator;
            }

            // Make sure the result is less than 2^256. Also prevents denominator == 0.
            if (denominator <= prod1) {
                revert MathOverflowedMulDiv();
            }

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

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

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

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

            uint256 twos = denominator & (0 - denominator);
            assembly {
                // Divide denominator by twos.
                denominator := div(denominator, twos)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

    /**
     * @dev Return the log in base 256, following the selected rounding direction, of a positive value.
     * Returns 0 if given 0.
     */
    function log256(uint256 value, Rounding rounding) internal pure returns (uint256) {
        unchecked {
            uint256 result = log256(value);
            return result + (unsignedRoundsUp(rounding) && 1 << (result << 3) < value ? 1 : 0);
        }
    }

    /**
     * @dev Returns whether a provided rounding mode is considered rounding up for unsigned integers.
     */
    function unsignedRoundsUp(Rounding rounding) internal pure returns (bool) {
        return uint8(rounding) % 2 == 1;
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (utils/math/SignedMath.sol)

pragma solidity ^0.8.20;

/**
 * @dev Standard signed math utilities missing in the Solidity language.
 */
library SignedMath {
    /**
     * @dev Returns the largest of two signed numbers.
     */
    function max(int256 a, int256 b) internal pure returns (int256) {
        return a > b ? a : b;
    }

    /**
     * @dev Returns the smallest of two signed numbers.
     */
    function min(int256 a, int256 b) internal pure returns (int256) {
        return a < b ? a : b;
    }

    /**
     * @dev Returns the average of two signed numbers without overflow.
     * The result is rounded towards zero.
     */
    function average(int256 a, int256 b) internal pure returns (int256) {
        // Formula from the book "Hacker's Delight"
        int256 x = (a & b) + ((a ^ b) >> 1);
        return x + (int256(uint256(x) >> 255) & (a ^ b));
    }

    /**
     * @dev Returns the absolute unsigned value of a signed value.
     */
    function abs(int256 n) internal pure returns (uint256) {
        unchecked {
            // must be unchecked in order to support `n = type(int256).min`
            return uint256(n >= 0 ? n : -n);
        }
    }
}

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

pragma solidity ^0.8.20;

import {Math} from "./math/Math.sol";
import {SignedMath} from "./math/SignedMath.sol";

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

    /**
     * @dev The `value` string doesn't fit in the specified `length`.
     */
    error StringsInsufficientHexLength(uint256 value, uint256 length);

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

    /**
     * @dev Converts a `int256` to its ASCII `string` decimal representation.
     */
    function toStringSigned(int256 value) internal pure returns (string memory) {
        return string.concat(value < 0 ? "-" : "", toString(SignedMath.abs(value)));
    }

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

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

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

    /**
     * @dev Returns true if the two strings are equal.
     */
    function equal(string memory a, string memory b) internal pure returns (bool) {
        return bytes(a).length == bytes(b).length && keccak256(bytes(a)) == keccak256(bytes(b));
    }
}

// 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
pragma solidity ^0.8.4;

/// @notice Library to encode strings in Base64.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/Base64.sol)
/// @author Modified from Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/Base64.sol)
/// @author Modified from (https://github.com/Brechtpd/base64/blob/main/base64.sol) by Brecht Devos - <[email protected]>.
library Base64 {
    /// @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)

                let dataEnd := add(add(0x20, data), dataLength)
                let dataEndValue := mload(dataEnd) // Cache the value at the `dataEnd` slot.
                mstore(dataEnd, 0x00) // Zeroize the `dataEnd` slot to clear dirty bits.

                // 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(dataEnd, dataEndValue) // Restore the cached value at `dataEnd`.
                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 Decodes base64 encoded `data`.
    ///
    /// Supports:
    /// - RFC 4648 (both standard and file-safe mode).
    /// - RFC 3501 (63: ',').
    ///
    /// Does not support:
    /// - Line breaks.
    ///
    /// Note: For performance reasons,
    /// this function will NOT revert on invalid `data` inputs.
    /// Outputs for invalid inputs will simply be undefined behaviour.
    /// It is the user's responsibility to ensure that the `data`
    /// is a valid base64 encoded string.
    function decode(string memory data) internal pure returns (bytes memory result) {
        /// @solidity memory-safe-assembly
        assembly {
            let dataLength := mload(data)

            if dataLength {
                let decodedLength := mul(shr(2, dataLength), 3)

                for {} 1 {} {
                    // If padded.
                    if iszero(and(dataLength, 3)) {
                        let t := xor(mload(add(data, dataLength)), 0x3d3d)
                        // forgefmt: disable-next-item
                        decodedLength := sub(
                            decodedLength,
                            add(iszero(byte(30, t)), iszero(byte(31, t)))
                        )
                        break
                    }
                    // If non-padded.
                    decodedLength := add(decodedLength, sub(and(dataLength, 3), 1))
                    break
                }
                result := mload(0x40)

                // Write the length of the bytes.
                mstore(result, decodedLength)

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

                // Load the table into the scratch space.
                // Constants are optimized for smaller bytecode with zero gas overhead.
                // `m` also doubles as the mask of the upper 6 bits.
                let m := 0xfc000000fc00686c7074787c8084888c9094989ca0a4a8acb0b4b8bcc0c4c8cc
                mstore(0x5b, m)
                mstore(0x3b, 0x04080c1014181c2024282c3034383c4044484c5054585c6064)
                mstore(0x1a, 0xf8fcf800fcd0d4d8dce0e4e8ecf0f4)

                for {} 1 {} {
                    // Read 4 bytes.
                    data := add(data, 4)
                    let input := mload(data)

                    // Write 3 bytes.
                    // forgefmt: disable-next-item
                    mstore(ptr, or(
                        and(m, mload(byte(28, input))),
                        shr(6, or(
                            and(m, mload(byte(29, input))),
                            shr(6, or(
                                and(m, mload(byte(30, input))),
                                shr(6, mload(byte(31, input)))
                            ))
                        ))
                    ))
                    ptr := add(ptr, 3)
                    if iszero(lt(ptr, end)) { break }
                }
                mstore(0x40, add(end, 0x20)) // Allocate the memory.
                mstore(end, 0) // Zeroize the slot after the bytes.
                mstore(0x60, 0) // Restore the zero slot.
            }
        }
    }
}

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

/// @notice Read and write to persistent storage at a fraction of the cost.
/// @author Solady (https://github.com/vectorized/solmady/blob/main/src/utils/SSTORE2.sol)
/// @author Saw-mon-and-Natalie (https://github.com/Saw-mon-and-Natalie)
/// @author Modified from Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/SSTORE2.sol)
/// @author Modified from 0xSequence (https://github.com/0xSequence/sstore2/blob/master/contracts/SSTORE2.sol)
library SSTORE2 {
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                         CONSTANTS                          */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev We skip the first byte as it's a STOP opcode,
    /// which ensures the contract can't be called.
    uint256 internal constant DATA_OFFSET = 1;

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

    /// @dev Unable to deploy the storage contract.
    error DeploymentFailed();

    /// @dev The storage contract address is invalid.
    error InvalidPointer();

    /// @dev Attempt to read outside of the storage contract's bytecode bounds.
    error ReadOutOfBounds();

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                         WRITE LOGIC                        */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Writes `data` into the bytecode of a storage contract and returns its address.
    function write(bytes memory data) internal returns (address pointer) {
        /// @solidity memory-safe-assembly
        assembly {
            let originalDataLength := mload(data)

            // Add 1 to data size since we are prefixing it with a STOP opcode.
            let dataSize := add(originalDataLength, DATA_OFFSET)

            /**
             * ------------------------------------------------------------------------------+
             * Opcode      | Mnemonic        | Stack                   | Memory              |
             * ------------------------------------------------------------------------------|
             * 61 dataSize | PUSH2 dataSize  | dataSize                |                     |
             * 80          | DUP1            | dataSize dataSize       |                     |
             * 60 0xa      | PUSH1 0xa       | 0xa dataSize dataSize   |                     |
             * 3D          | RETURNDATASIZE  | 0 0xa dataSize dataSize |                     |
             * 39          | CODECOPY        | dataSize                | [0..dataSize): code |
             * 3D          | RETURNDATASIZE  | 0 dataSize              | [0..dataSize): code |
             * F3          | RETURN          |                         | [0..dataSize): code |
             * 00          | STOP            |                         |                     |
             * ------------------------------------------------------------------------------+
             * @dev Prefix the bytecode with a STOP opcode to ensure it cannot be called.
             * Also PUSH2 is used since max contract size cap is 24,576 bytes which is less than 2 ** 16.
             */
            mstore(
                // Do a out-of-gas revert if `dataSize` is more than 2 bytes.
                // The actual EVM limit may be smaller and may change over time.
                add(data, gt(dataSize, 0xffff)),
                // Left shift `dataSize` by 64 so that it lines up with the 0000 after PUSH2.
                or(0xfd61000080600a3d393df300, shl(0x40, dataSize))
            )

            // Deploy a new contract with the generated creation code.
            pointer := create(0, add(data, 0x15), add(dataSize, 0xa))

            // If `pointer` is zero, revert.
            if iszero(pointer) {
                // Store the function selector of `DeploymentFailed()`.
                mstore(0x00, 0x30116425)
                // Revert with (offset, size).
                revert(0x1c, 0x04)
            }

            // Restore original length of the variable size `data`.
            mstore(data, originalDataLength)
        }
    }

    /// @dev Writes `data` into the bytecode of a storage contract with `salt`
    /// and returns its deterministic address.
    function writeDeterministic(bytes memory data, bytes32 salt)
        internal
        returns (address pointer)
    {
        /// @solidity memory-safe-assembly
        assembly {
            let originalDataLength := mload(data)
            let dataSize := add(originalDataLength, DATA_OFFSET)

            mstore(
                // Do a out-of-gas revert if `dataSize` is more than 2 bytes.
                // The actual EVM limit may be smaller and may change over time.
                add(data, gt(dataSize, 0xffff)),
                // Left shift `dataSize` by 64 so that it lines up with the 0000 after PUSH2.
                or(0xfd61000080600a3d393df300, shl(0x40, dataSize))
            )

            // Deploy a new contract with the generated creation code.
            pointer := create2(0, add(data, 0x15), add(dataSize, 0xa), salt)

            // If `pointer` is zero, revert.
            if iszero(pointer) {
                // Store the function selector of `DeploymentFailed()`.
                mstore(0x00, 0x30116425)
                // Revert with (offset, size).
                revert(0x1c, 0x04)
            }

            // Restore original length of the variable size `data`.
            mstore(data, originalDataLength)
        }
    }

    /// @dev Returns the initialization code hash of the storage contract for `data`.
    /// Used for mining vanity addresses with create2crunch.
    function initCodeHash(bytes memory data) internal pure returns (bytes32 hash) {
        /// @solidity memory-safe-assembly
        assembly {
            let originalDataLength := mload(data)
            let dataSize := add(originalDataLength, DATA_OFFSET)

            // Do a out-of-gas revert if `dataSize` is more than 2 bytes.
            // The actual EVM limit may be smaller and may change over time.
            returndatacopy(returndatasize(), returndatasize(), shr(16, dataSize))

            mstore(data, or(0x61000080600a3d393df300, shl(0x40, dataSize)))

            hash := keccak256(add(data, 0x15), add(dataSize, 0xa))

            // Restore original length of the variable size `data`.
            mstore(data, originalDataLength)
        }
    }

    /// @dev Returns the address of the storage contract for `data`
    /// deployed with `salt` by `deployer`.
    /// Note: The returned result has dirty upper 96 bits. Please clean if used in assembly.
    function predictDeterministicAddress(bytes memory data, bytes32 salt, address deployer)
        internal
        pure
        returns (address predicted)
    {
        bytes32 hash = initCodeHash(data);
        /// @solidity memory-safe-assembly
        assembly {
            // Compute and store the bytecode hash.
            mstore8(0x00, 0xff) // Write the prefix.
            mstore(0x35, hash)
            mstore(0x01, shl(96, deployer))
            mstore(0x15, salt)
            predicted := keccak256(0x00, 0x55)
            // Restore the part of the free memory pointer that has been overwritten.
            mstore(0x35, 0)
        }
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                         READ LOGIC                         */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev Returns all the `data` from the bytecode of the storage contract at `pointer`.
    function read(address pointer) internal view returns (bytes memory data) {
        /// @solidity memory-safe-assembly
        assembly {
            let pointerCodesize := extcodesize(pointer)
            if iszero(pointerCodesize) {
                // Store the function selector of `InvalidPointer()`.
                mstore(0x00, 0x11052bb4)
                // Revert with (offset, size).
                revert(0x1c, 0x04)
            }
            // Offset all indices by 1 to skip the STOP opcode.
            let size := sub(pointerCodesize, DATA_OFFSET)

            // Get the pointer to the free memory and allocate
            // enough 32-byte words for the data and the length of the data,
            // then copy the code to the allocated memory.
            // Masking with 0xffe0 will suffice, since contract size is less than 16 bits.
            data := mload(0x40)
            mstore(0x40, add(data, and(add(size, 0x3f), 0xffe0)))
            mstore(data, size)
            mstore(add(add(data, 0x20), size), 0) // Zeroize the last slot.
            extcodecopy(pointer, add(data, 0x20), DATA_OFFSET, size)
        }
    }

    /// @dev Returns the `data` from the bytecode of the storage contract at `pointer`,
    /// from the byte at `start`, to the end of the data stored.
    function read(address pointer, uint256 start) internal view returns (bytes memory data) {
        /// @solidity memory-safe-assembly
        assembly {
            let pointerCodesize := extcodesize(pointer)
            if iszero(pointerCodesize) {
                // Store the function selector of `InvalidPointer()`.
                mstore(0x00, 0x11052bb4)
                // Revert with (offset, size).
                revert(0x1c, 0x04)
            }

            // If `!(pointer.code.size > start)`, reverts.
            // This also handles the case where `start + DATA_OFFSET` overflows.
            if iszero(gt(pointerCodesize, start)) {
                // Store the function selector of `ReadOutOfBounds()`.
                mstore(0x00, 0x84eb0dd1)
                // Revert with (offset, size).
                revert(0x1c, 0x04)
            }
            let size := sub(pointerCodesize, add(start, DATA_OFFSET))

            // Get the pointer to the free memory and allocate
            // enough 32-byte words for the data and the length of the data,
            // then copy the code to the allocated memory.
            // Masking with 0xffe0 will suffice, since contract size is less than 16 bits.
            data := mload(0x40)
            mstore(0x40, add(data, and(add(size, 0x3f), 0xffe0)))
            mstore(data, size)
            mstore(add(add(data, 0x20), size), 0) // Zeroize the last slot.
            extcodecopy(pointer, add(data, 0x20), add(start, DATA_OFFSET), size)
        }
    }

    /// @dev Returns the `data` from the bytecode of the storage contract at `pointer`,
    /// from the byte at `start`, to the byte at `end` (exclusive) of the data stored.
    function read(address pointer, uint256 start, uint256 end)
        internal
        view
        returns (bytes memory data)
    {
        /// @solidity memory-safe-assembly
        assembly {
            let pointerCodesize := extcodesize(pointer)
            if iszero(pointerCodesize) {
                // Store the function selector of `InvalidPointer()`.
                mstore(0x00, 0x11052bb4)
                // Revert with (offset, size).
                revert(0x1c, 0x04)
            }

            // If `!(pointer.code.size > end) || (start > end)`, revert.
            // This also handles the cases where
            // `end + DATA_OFFSET` or `start + DATA_OFFSET` overflows.
            if iszero(
                and(
                    gt(pointerCodesize, end), // Within bounds.
                    iszero(gt(start, end)) // Valid range.
                )
            ) {
                // Store the function selector of `ReadOutOfBounds()`.
                mstore(0x00, 0x84eb0dd1)
                // Revert with (offset, size).
                revert(0x1c, 0x04)
            }
            let size := sub(end, start)

            // Get the pointer to the free memory and allocate
            // enough 32-byte words for the data and the length of the data,
            // then copy the code to the allocated memory.
            // Masking with 0xffe0 will suffice, since contract size is less than 16 bits.
            data := mload(0x40)
            mstore(0x40, add(data, and(add(size, 0x3f), 0xffe0)))
            mstore(data, size)
            mstore(add(add(data, 0x20), size), 0) // Zeroize the last slot.
            extcodecopy(pointer, add(data, 0x20), add(start, DATA_OFFSET), size)
        }
    }
}

{
  "optimizer": {
    "enabled": true,
    "runs": 1000
  },
  "evmVersion": "paris",
  "outputSelection": {
    "*": {
      "*": [
        "evm.bytecode",
        "evm.deployedBytecode",
        "devdoc",
        "userdoc",
        "metadata",
        "abi"
      ]
    }
  },
  "libraries": {}
}

• No Contract Security Audit Submitted- Submit Audit Here

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name":"","type":"string"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"","type":"uint256"}],"name":"images","outputs":[{"internalType":"uint256","name":"length","type":"uint256"},{"internalType":"string","name":"name","type":"string"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"owner","type":"address"},{"internalType":"address","name":"operator","type":"address"}],"name":"isApprovedForAll","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"lockContract","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"mint","outputs":[],"stateMutability":"payable","type":"function"},{"inputs":[{"internalType":"bytes32[]","name":"proof","type":"bytes32[]"},{"internalType":"uint256","name":"count","type":"uint256"}],"name":"mintAllowlist","outputs":[],"stateMutability":"payable","type":"function"},{"inputs":[{"internalType":"address","name":"","type":"address"}],"name":"minted","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"name","outputs":[{"internalType":"string","name":"","type":"string"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"owner","outputs":[{"internalType":"address","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"tokenId","type":"uint256"}],"name":"ownerOf","outputs":[{"internalType":"address","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"","type":"uint256"}],"name":"palettes","outputs":[{"internalType":"string","name":"name","type":"string"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"publicStartTime","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"remainingAdminSupply","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"remainingSupply","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"bytes","name":"data","type":"bytes"},{"internalType":"bytes1[3][]","name":"palette","type":"bytes1[3][]"},{"internalType":"uint8","name":"alg","type":"uint8"},{"internalType":"bool","name":"normalize","type":"bool"},{"internalType":"uint256","name":"bayerIndex","type":"uint256"},{"internalType":"uint256","name":"distAlg","type":"uint256"},{"internalType":"uint256","name":"colorCorrect","type":"uint256"},{"internalType":"bytes32","name":"random","type":"bytes32"}],"name":"render","outputs":[{"internalType":"string","name":"","type":"string"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"renounceOwnership","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"root","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"from","type":"address"},{"internalType":"address","name":"to","type":"address"},{"internalType":"uint256","name":"tokenId","type":"uint256"}],"name":"safeTransferFrom","outputs":[],"stateMutability":"payable","type":"function"},{"inputs":[{"internalType":"address","name":"from","type":"address"},{"internalType":"address","name":"to","type":"address"},{"internalType":"uint256","name":"tokenId","type":"uint256"},{"internalType":"bytes","name":"_data","type":"bytes"}],"name":"safeTransferFrom","outputs":[],"stateMutability":"payable","type":"function"},{"inputs":[],"name":"saleActive","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"start","type":"uint256"}],"name":"setAllowlistStartTime","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"operator","type":"address"},{"internalType":"bool","name":"approved","type":"bool"}],"name":"setApprovalForAll","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"components":[{"internalType":"uint256[16]","name":"grid","type":"uint256[16]"},{"internalType":"uint256","name":"length","type":"uint256"},{"internalType":"string","name":"name","type":"string"}],"internalType":"struct MachineInTheGhost.BayerGrid[]","name":"grids","type":"tuple[]"}],"name":"setBayerGrids","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"components":[{"internalType":"address[]","name":"pointers","type":"address[]"},{"internalType":"uint256","name":"length","type":"uint256"},{"internalType":"string","name":"name","type":"string"}],"internalType":"struct MachineInTheGhost.Image[]","name":"_images","type":"tuple[]"}],"name":"setImages","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"components":[{"internalType":"string","name":"name","type":"string"},{"internalType":"bytes1[3][]","name":"colors","type":"bytes1[3][]"}],"internalType":"struct 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00000000000000000000000072ff4bfc711800644fb21cf08b2e0d10958b9de7

-----Decoded View---------------
Arg [0] : inflate (address): 0x72Ff4BFc711800644fb21CF08b2E0D10958B9De7

-----Encoded View---------------
1 Constructor Arguments found :
Arg [0] : 00000000000000000000000072ff4bfc711800644fb21cf08b2e0d10958b9de7