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{
  "language": "Solidity",
  "sources": {
    "contracts/TheFlags.sol": {
      "content": "pragma solidity 0.8.13;\r\n\r\nimport {ERC721} from \"@openzeppelin/contracts/token/ERC721/ERC721.sol\";\r\nimport {Ownable} from \"@openzeppelin/contracts/access/Ownable.sol\";\r\nimport {RevokableDefaultOperatorFilterer} from \"./RevokableDefaultOperatorFilterer.sol\";\r\nimport {UpdatableOperatorFilterer} from \"./UpdatableOperatorFilterer.sol\";\r\nimport {Base64} from \"./Base64.sol\";\r\n\r\ncontract TheFlags is ERC721, Ownable, RevokableDefaultOperatorFilterer {\r\n    string private constant SVG_HEADER = '<svg xmlns=\\'http://www.w3.org/2000/svg\\' version=\\'1.2\\' viewBox=\\'0 0 32 32\\' shape-rendering=\\'crispEdges\\'>';\r\n    string private constant SVG_FOOTER = '</svg>';\r\n    bytes16 private constant HEX_SYMBOLS = \"0123456789abcdef\";\r\n\r\n    enum FormType { Default, Square, Nepal }\r\n    enum BackgroundType { BgDefault, BgAdditional }\r\n    enum StickType { StickDefault, StickAdditional }\r\n    \r\n    mapping(FormType => FormParameters) formsParameters;\r\n    mapping(FormType => uint256[]) formsRowOffsets;\r\n    mapping(BackgroundType => bytes3) backgroundColors;\r\n    mapping(StickType => bytes3) stickColors;\r\n\r\n    mapping(uint256 => bytes) private flags;\r\n    mapping(uint256 => string) private names;\r\n\r\n    bool isMediaLocked;\r\n\r\n    struct FormParameters { uint256 startColumn; uint256 startRow; uint256 columnsCount; uint256 rowsCount; }\r\n    struct decompressionParameters{\r\n        FormType formType;\r\n        BackgroundType bgType;\r\n        StickType stickType;\r\n        uint8 paletteLength;\r\n        uint8 paletteIndexOffset;\r\n        bytes1 repeatsMultiplier;\r\n        bool isHorizontalCompression;\r\n    }\r\n\r\n    modifier checkIdExists(uint256 flagId){\r\n        require(flagId != 0, \"Flags idexes starts from 1\");\r\n        require(flagId <= 195, \"There are only 195 flags\");\r\n        _;\r\n    }\r\n\r\n    modifier ifMediaNotLocked(){\r\n        require(isMediaLocked == false, \"All media is locked\");\r\n        _;\r\n    }\r\n\r\n    constructor() ERC721(\"TheFlags\", \"FLG\") public {\r\n        backgroundColors[BackgroundType.BgDefault] = hex\"6AC3E6\";\r\n        backgroundColors[BackgroundType.BgAdditional] = hex\"D4D4D4\";\r\n        stickColors[StickType.StickDefault] = hex\"FFFFFF\";\r\n        stickColors[StickType.StickAdditional] = hex\"EBEBEB\";\r\n\r\n        formsParameters[FormType.Default] = FormParameters(10, 10, 13, 9);\r\n        formsParameters[FormType.Square] = FormParameters(11, 9, 10, 10);\r\n        formsParameters[FormType.Nepal] = FormParameters(11, 9, 10, 10);\r\n\r\n        formsRowOffsets[FormType.Default] = [ 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1 ];\r\n        formsRowOffsets[FormType.Square] = [ 0, 1, 2, 2, 2, 1, 0, 0, 0, 1 ];\r\n        formsRowOffsets[FormType.Nepal] = [ 0, 1, 2, 2, 2, 2, 2, 2, 2, 2 ];\r\n\r\n        isMediaLocked = false;\r\n    }\r\n\r\n    function safeMint(address to, uint256 flagId, string calldata name, bytes calldata flag)\r\n        public\r\n        onlyOwner\r\n        checkIdExists(flagId)\r\n    {\r\n        flags[flagId] = flag;\r\n        names[flagId] = name;\r\n        _safeMint(to, flagId);\r\n    }\r\n\r\n    function updateFlag(uint flagId, bytes calldata flag) public onlyOwner ifMediaNotLocked checkIdExists(flagId) {\r\n        flags[flagId] = flag;\r\n    }\r\n\r\n    function updateName(uint flagId, string calldata name) public onlyOwner ifMediaNotLocked checkIdExists(flagId) {\r\n        names[flagId] = name;\r\n    }\r\n\r\n    function batchMint(address to, uint256[] calldata _tokenIds, string[] calldata _names, bytes[] calldata _flags) \r\n        public \r\n        onlyOwner \r\n    {\r\n        for (uint256 i = 0; i < _tokenIds.length; i++) {\r\n            safeMint(to, _tokenIds[i], _names[i], _flags[i]);\r\n        }\r\n    }\r\n\r\n    function lockMedia() public onlyOwner {\r\n        isMediaLocked = true;\r\n    }\r\n\r\n    function getMediaLockedStatus() public view returns (bool isLocked){\r\n        isLocked = isMediaLocked;\r\n    } \r\n\r\n    function setApprovalForAll(address operator, bool approved) public override onlyAllowedOperatorApproval(operator) {\r\n        super.setApprovalForAll(operator, approved);\r\n    }\r\n\r\n    function approve(address operator, uint256 tokenId) public override onlyAllowedOperatorApproval(operator) {\r\n        super.approve(operator, tokenId);\r\n    }\r\n\r\n    function transferFrom(address from, address to, uint256 tokenId) public override onlyAllowedOperator(from) {\r\n        super.transferFrom(from, to, tokenId);\r\n    }\r\n\r\n    function safeTransferFrom(address from, address to, uint256 tokenId) public override onlyAllowedOperator(from) {\r\n        super.safeTransferFrom(from, to, tokenId);\r\n    }\r\n\r\n    function safeTransferFrom(address from, address to, uint256 tokenId, bytes memory data)\r\n        public\r\n        override\r\n        onlyAllowedOperator(from)\r\n    {\r\n        super.safeTransferFrom(from, to, tokenId, data);\r\n    }\r\n\r\n    function owner() public view override(Ownable, UpdatableOperatorFilterer) returns (address) {\r\n        return Ownable.owner();\r\n    }\r\n\r\n    function tokenURI(uint256 flagId) public view override(ERC721) checkIdExists(flagId) returns (string memory) {\r\n        string memory json = Base64.encode(\r\n            bytes(string(\r\n                abi.encodePacked(\r\n                    '{',\r\n                    '\"name\": \"', names[flagId], '\",',\r\n                    '\"image_data\": \"', getFlagSvg(flagId), '\"',\r\n                    '}'\r\n                )\r\n            )));\r\n        return string(abi.encodePacked('data:application/json;base64,', json));\r\n    }\r\n\r\n    function getFlagSvg(uint256 flagId) public view checkIdExists(flagId) returns (string memory svg) {\r\n        bytes memory data = flags[flagId];\r\n\r\n        decompressionParameters memory params = getConfigurations(data[0]);\r\n\r\n        svg = SVG_HEADER;\r\n        svg = string(abi.encodePacked(svg, getSvgBlock(0, 0, 32, 32, backgroundColors[params.bgType])));\r\n        svg = string(abi.encodePacked(svg, getSvgBlock(formsParameters[params.formType].startColumn, formsParameters[params.formType].startRow + 1, 1, 32 - (formsParameters[params.formType].startRow + 1), stickColors[params.stickType])));\r\n\r\n        bytes3 color;\r\n        uint256 interator = 0;\r\n        for (uint8 colorDataIndex = 1 + params.paletteLength * 3; colorDataIndex < data.length; colorDataIndex++)\r\n        {\r\n            uint8 colorIndex = 1 + uint8(data[colorDataIndex] >> params.paletteIndexOffset) * 3;\r\n            color = (bytes3(data[colorIndex])) | (bytes3(data[colorIndex + 1]) >> 8) | (bytes3(data[colorIndex + 2]) >> 16);\r\n\r\n            for (uint8 repeat = 0; repeat < uint8(data[colorDataIndex] & params.repeatsMultiplier) + 1; repeat++)\r\n            {\r\n                (uint256 column, uint256 row) = getFormPixelByIterator(params, interator);\r\n                interator++;\r\n                svg = string(abi.encodePacked(svg, getSvgBlock(column, row, 1, 1, color)));\r\n            }\r\n        }\r\n        \r\n        svg = string(abi.encodePacked(svg, SVG_FOOTER));\r\n    }\r\n\r\n    function getFlagRaw(uint256 flagId) public view checkIdExists(flagId) returns (bytes memory raw){\r\n        bytes memory data = flags[flagId];\r\n        decompressionParameters memory params = getConfigurations(data[0]);\r\n\r\n        raw = new bytes(3072);\r\n        for (uint256 index = 0; index < 1024; index++){\r\n            raw[index * 3] = backgroundColors[params.bgType][0];\r\n            raw[index * 3 + 1] = backgroundColors[params.bgType][1];\r\n            raw[index * 3 + 2] = backgroundColors[params.bgType][2];\r\n        }\r\n\r\n        for (uint256 row = formsParameters[params.formType].startRow + formsParameters[params.formType].rowsCount; row < 32; row++){\r\n            uint256 index = row * 32 + formsParameters[params.formType].startColumn;\r\n            raw[index * 3] = stickColors[params.stickType][0];\r\n            raw[index * 3 + 1] = stickColors[params.stickType][1];\r\n            raw[index * 3 + 2] = stickColors[params.stickType][2];\r\n        }\r\n\r\n        uint256 interator = 0;\r\n        for (uint8 colorDataIndex = 1 + params.paletteLength * 3; colorDataIndex < data.length; colorDataIndex++)\r\n        {\r\n            uint8 colorIndex = 1 + uint8(data[colorDataIndex] >> params.paletteIndexOffset) * 3;\r\n            for (uint8 repeat = 0; repeat < uint8(data[colorDataIndex] & params.repeatsMultiplier) + 1; repeat++)\r\n            {\r\n                (uint256 column, uint256 row) = getFormPixelByIterator(params, interator);\r\n                interator++;\r\n                uint256 index = (row * 32 + column) * 3;\r\n                raw[index] = data[colorIndex];\r\n                raw[index + 1] = data[colorIndex + 1];\r\n                raw[index + 2] = data[colorIndex + 2];\r\n            }\r\n        }\r\n    }\r\n\r\n    function getConfigurations(bytes1 config) private view returns (decompressionParameters memory params){\r\n        uint8 configByte = uint8(config);\r\n        uint8 formIndex = (configByte >> 6) & 0x3;\r\n        bool isHorizontalCompression = (configByte >> 5) & 0x1 == 0;\r\n        uint8 bgIndex = (configByte >> 4) & 0x1;\r\n        uint8 stickIndex = (configByte >> 3) & 0x1;\r\n        uint8 paletteLength = (configByte & 0x7) + 1;\r\n        uint8 paletteIndexOffset = paletteLength <= 2 ? 7 : paletteLength <= 4 ? 6 : 5;\r\n        bytes1 repeatsMultiplier = paletteLength <= 2 ? bytes1(0x7F) : paletteLength <= 4 ? bytes1(0x3F) : bytes1(0x1F);\r\n\r\n        params = decompressionParameters(\r\n            FormType(formIndex),\r\n            BackgroundType(bgIndex),\r\n            StickType(stickIndex),\r\n            paletteLength,\r\n            paletteIndexOffset,\r\n            repeatsMultiplier,\r\n            isHorizontalCompression\r\n        );\r\n    }\r\n\r\n    function getFormPixelByIterator(\r\n        decompressionParameters memory params,\r\n        uint256 iterator\r\n        ) private view returns (uint256 column, uint256 row) {\r\n        uint256 columnIndex = 0;\r\n        uint256 rowIndex = 0;\r\n\r\n        if (params.isHorizontalCompression) {\r\n            columnIndex = iterator % formsParameters[params.formType].columnsCount;\r\n            rowIndex = iterator / formsParameters[params.formType].columnsCount;\r\n        } else {\r\n            columnIndex = iterator / formsParameters[params.formType].rowsCount;\r\n            rowIndex = iterator % formsParameters[params.formType].rowsCount;\r\n        }\r\n\r\n        column = formsParameters[params.formType].startColumn + columnIndex;\r\n        row = formsParameters[params.formType].startRow + rowIndex + formsRowOffsets[params.formType][columnIndex];\r\n    }\r\n\r\n    function getSvgBlock(uint256 x, uint256 y, uint256 xSize, uint256 ySize, bytes3 color) private pure returns (string memory) {\r\n        bytes memory buffer = new bytes(6);\r\n        for (uint256 i = 0; i < 3; i++) {\r\n            uint8 value = uint8(color[i]);\r\n            buffer[i * 2 + 1] = HEX_SYMBOLS[value & 0xf];\r\n            value >>= 4;\r\n            buffer[i * 2] = HEX_SYMBOLS[value & 0xf];\r\n        }\r\n\r\n        return string(abi.encodePacked(\r\n                        '<rect x=\\'', toString(x), '\\' y=\\'', toString(y),'\\' width=\\'', toString(xSize), '\\' height=\\'', toString(ySize) ,'\\' fill=\\'#', string(buffer),'\\'/>'));\r\n    }\r\n\r\n    function toString(uint256 value) private pure returns (string memory) {\r\n        // Inspired by OraclizeAPI's implementation - MIT licence\r\n        // https://github.com/oraclize/ethereum-api/blob/b42146b063c7d6ee1358846c198246239e9360e8/oraclizeAPI_0.4.25.sol\r\n\r\n        if (value == 0) {\r\n            return \"0\";\r\n        }\r\n        uint256 temp = value;\r\n        uint256 digits;\r\n        while (temp != 0) {\r\n            digits++;\r\n            temp /= 10;\r\n        }\r\n        bytes memory buffer = new bytes(digits);\r\n        while (value != 0) {\r\n            digits -= 1;\r\n            buffer[digits] = bytes1(uint8(48 + uint256(value % 10)));\r\n            value /= 10;\r\n        }\r\n        return string(buffer);\r\n    }\r\n}"
    },
    "contracts/Base64.sol": {
      "content": "// SPDX-License-Identifier: MIT\r\npragma solidity ^0.8.9;\r\n\r\nlibrary Base64 {\r\n    string internal constant TABLE_ENCODE = 'ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/';\r\n    bytes  internal constant TABLE_DECODE = hex\"0000000000000000000000000000000000000000000000000000000000000000\"\r\n                                            hex\"00000000000000000000003e0000003f3435363738393a3b3c3d000000000000\"\r\n                                            hex\"00000102030405060708090a0b0c0d0e0f101112131415161718190000000000\"\r\n                                            hex\"001a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132330000000000\";\r\n\r\n    function encode(bytes memory data) internal pure returns (string memory) {\r\n        if (data.length == 0) return '';\r\n\r\n        // load the table into memory\r\n        string memory table = TABLE_ENCODE;\r\n\r\n        // multiply by 4/3 rounded up\r\n        uint256 encodedLen = 4 * ((data.length + 2) / 3);\r\n\r\n        // add some extra buffer at the end required for the writing\r\n        string memory result = new string(encodedLen + 32);\r\n\r\n        assembly {\r\n            // set the actual output length\r\n            mstore(result, encodedLen)\r\n\r\n            // prepare the lookup table\r\n            let tablePtr := add(table, 1)\r\n\r\n            // input ptr\r\n            let dataPtr := data\r\n            let endPtr := add(dataPtr, mload(data))\r\n\r\n            // result ptr, jump over length\r\n            let resultPtr := add(result, 32)\r\n\r\n            // run over the input, 3 bytes at a time\r\n            for {} lt(dataPtr, endPtr) {}\r\n            {\r\n                // read 3 bytes\r\n                dataPtr := add(dataPtr, 3)\r\n                let input := mload(dataPtr)\r\n\r\n                // write 4 characters\r\n                mstore8(resultPtr, mload(add(tablePtr, and(shr(18, input), 0x3F))))\r\n                resultPtr := add(resultPtr, 1)\r\n                mstore8(resultPtr, mload(add(tablePtr, and(shr(12, input), 0x3F))))\r\n                resultPtr := add(resultPtr, 1)\r\n                mstore8(resultPtr, mload(add(tablePtr, and(shr( 6, input), 0x3F))))\r\n                resultPtr := add(resultPtr, 1)\r\n                mstore8(resultPtr, mload(add(tablePtr, and(        input,  0x3F))))\r\n                resultPtr := add(resultPtr, 1)\r\n            }\r\n\r\n            // padding with '='\r\n            switch mod(mload(data), 3)\r\n            case 1 { mstore(sub(resultPtr, 2), shl(240, 0x3d3d)) }\r\n            case 2 { mstore(sub(resultPtr, 1), shl(248, 0x3d)) }\r\n        }\r\n\r\n        return result;\r\n    }\r\n\r\n    function decode(string memory _data) internal pure returns (bytes memory) {\r\n        bytes memory data = bytes(_data);\r\n\r\n        if (data.length == 0) return new bytes(0);\r\n        require(data.length % 4 == 0, \"invalid base64 decoder input\");\r\n\r\n        // load the table into memory\r\n        bytes memory table = TABLE_DECODE;\r\n\r\n        // every 4 characters represent 3 bytes\r\n        uint256 decodedLen = (data.length / 4) * 3;\r\n\r\n        // add some extra buffer at the end required for the writing\r\n        bytes memory result = new bytes(decodedLen + 32);\r\n\r\n        assembly {\r\n            // padding with '='\r\n            let lastBytes := mload(add(data, mload(data)))\r\n            if eq(and(lastBytes, 0xFF), 0x3d) {\r\n                decodedLen := sub(decodedLen, 1)\r\n                if eq(and(lastBytes, 0xFFFF), 0x3d3d) {\r\n                    decodedLen := sub(decodedLen, 1)\r\n                }\r\n            }\r\n\r\n            // set the actual output length\r\n            mstore(result, decodedLen)\r\n\r\n            // prepare the lookup table\r\n            let tablePtr := add(table, 1)\r\n\r\n            // input ptr\r\n            let dataPtr := data\r\n            let endPtr := add(dataPtr, mload(data))\r\n\r\n            // result ptr, jump over length\r\n            let resultPtr := add(result, 32)\r\n\r\n            // run over the input, 4 characters at a time\r\n            for {} lt(dataPtr, endPtr) {}\r\n            {\r\n               // read 4 characters\r\n               dataPtr := add(dataPtr, 4)\r\n               let input := mload(dataPtr)\r\n\r\n               // write 3 bytes\r\n               let output := add(\r\n                   add(\r\n                       shl(18, and(mload(add(tablePtr, and(shr(24, input), 0xFF))), 0xFF)),\r\n                       shl(12, and(mload(add(tablePtr, and(shr(16, input), 0xFF))), 0xFF))),\r\n                   add(\r\n                       shl( 6, and(mload(add(tablePtr, and(shr( 8, input), 0xFF))), 0xFF)),\r\n                               and(mload(add(tablePtr, and(        input , 0xFF))), 0xFF)\r\n                    )\r\n                )\r\n                mstore(resultPtr, shl(232, output))\r\n                resultPtr := add(resultPtr, 3)\r\n            }\r\n        }\r\n\r\n        return result;\r\n    }\r\n}"
    },
    "contracts/UpdatableOperatorFilterer.sol": {
      "content": "// SPDX-License-Identifier: MIT\r\npragma solidity ^0.8.13;\r\n\r\nimport {IOperatorFilterRegistry} from \"./IOperatorFilterRegistry.sol\";\r\n\r\n/**\r\n * @title  UpdatableOperatorFilterer\r\n * @notice Abstract contract whose constructor automatically registers and optionally subscribes to or copies another\r\n *         registrant's entries in the OperatorFilterRegistry. This contract allows the Owner to update the\r\n *         OperatorFilterRegistry address via updateOperatorFilterRegistryAddress, including to the zero address,\r\n *         which will bypass registry checks.\r\n *         Note that OpenSea will still disable creator fee enforcement if filtered operators begin fulfilling orders\r\n *         on-chain, eg, if the registry is revoked or bypassed.\r\n * @dev    This smart contract is meant to be inherited by token contracts so they can use the following:\r\n *         - `onlyAllowedOperator` modifier for `transferFrom` and `safeTransferFrom` methods.\r\n *         - `onlyAllowedOperatorApproval` modifier for `approve` and `setApprovalForAll` methods.\r\n */\r\nabstract contract UpdatableOperatorFilterer {\r\n    error OperatorNotAllowed(address operator);\r\n    error OnlyOwner();\r\n\r\n    IOperatorFilterRegistry public operatorFilterRegistry;\r\n\r\n    constructor(address _registry, address subscriptionOrRegistrantToCopy, bool subscribe) {\r\n        IOperatorFilterRegistry registry = IOperatorFilterRegistry(_registry);\r\n        operatorFilterRegistry = registry;\r\n        // If an inheriting token contract is deployed to a network without the registry deployed, the modifier\r\n        // will not revert, but the contract will need to be registered with the registry once it is deployed in\r\n        // order for the modifier to filter addresses.\r\n        if (address(registry).code.length > 0) {\r\n            if (subscribe) {\r\n                registry.registerAndSubscribe(address(this), subscriptionOrRegistrantToCopy);\r\n            } else {\r\n                if (subscriptionOrRegistrantToCopy != address(0)) {\r\n                    registry.registerAndCopyEntries(address(this), subscriptionOrRegistrantToCopy);\r\n                } else {\r\n                    registry.register(address(this));\r\n                }\r\n            }\r\n        }\r\n    }\r\n\r\n    modifier onlyAllowedOperator(address from) virtual {\r\n        // Allow spending tokens from addresses with balance\r\n        // Note that this still allows listings and marketplaces with escrow to transfer tokens if transferred\r\n        // from an EOA.\r\n        if (from != msg.sender) {\r\n            _checkFilterOperator(msg.sender);\r\n        }\r\n        _;\r\n    }\r\n\r\n    modifier onlyAllowedOperatorApproval(address operator) virtual {\r\n        _checkFilterOperator(operator);\r\n        _;\r\n    }\r\n\r\n    /**\r\n     * @notice Update the address that the contract will make OperatorFilter checks against. When set to the zero\r\n     *         address, checks will be bypassed. OnlyOwner.\r\n     */\r\n    function updateOperatorFilterRegistryAddress(address newRegistry) public virtual {\r\n        if (msg.sender != owner()) {\r\n            revert OnlyOwner();\r\n        }\r\n        operatorFilterRegistry = IOperatorFilterRegistry(newRegistry);\r\n    }\r\n\r\n    /**\r\n     * @dev assume the contract has an owner, but leave specific Ownable implementation up to inheriting contract\r\n     */\r\n    function owner() public view virtual returns (address);\r\n\r\n    function _checkFilterOperator(address operator) internal view virtual {\r\n        IOperatorFilterRegistry registry = operatorFilterRegistry;\r\n        // Check registry code length to facilitate testing in environments without a deployed registry.\r\n        if (address(registry) != address(0) && address(registry).code.length > 0) {\r\n            if (!registry.isOperatorAllowed(address(this), operator)) {\r\n                revert OperatorNotAllowed(operator);\r\n            }\r\n        }\r\n    }\r\n}"
    },
    "contracts/RevokableDefaultOperatorFilterer.sol": {
      "content": "// SPDX-License-Identifier: MIT\r\npragma solidity ^0.8.13;\r\n\r\nimport {RevokableOperatorFilterer} from \"./RevokableOperatorFilterer.sol\";\r\n\r\n/**\r\n * @title  RevokableDefaultOperatorFilterer\r\n * @notice Inherits from RevokableOperatorFilterer and automatically subscribes to the default OpenSea subscription.\r\n *         Note that OpenSea will disable creator fee enforcement if filtered operators begin fulfilling orders\r\n *         on-chain, eg, if the registry is revoked or bypassed.\r\n */\r\nabstract contract RevokableDefaultOperatorFilterer is RevokableOperatorFilterer {\r\n    address constant DEFAULT_SUBSCRIPTION = address(0x3cc6CddA760b79bAfa08dF41ECFA224f810dCeB6);\r\n\r\n    constructor() RevokableOperatorFilterer(0x000000000000AAeB6D7670E522A718067333cd4E, DEFAULT_SUBSCRIPTION, true) {}\r\n}"
    },
    "@openzeppelin/contracts/access/Ownable.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v4.7.0) (access/Ownable.sol)\n\npragma solidity ^0.8.0;\n\nimport \"../utils/Context.sol\";\n\n/**\n * @dev Contract module which provides a basic access control mechanism, where\n * there is an account (an owner) that can be granted exclusive access to\n * specific functions.\n *\n * By default, the owner account will be the one that deploys the contract. This\n * can later be changed with {transferOwnership}.\n *\n * This module is used through inheritance. It will make available the modifier\n * `onlyOwner`, which can be applied to your functions to restrict their use to\n * the owner.\n */\nabstract contract Ownable is Context {\n    address private _owner;\n\n    event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);\n\n    /**\n     * @dev Initializes the contract setting the deployer as the initial owner.\n     */\n    constructor() {\n        _transferOwnership(_msgSender());\n    }\n\n    /**\n     * @dev Throws if called by any account other than the owner.\n     */\n    modifier onlyOwner() {\n        _checkOwner();\n        _;\n    }\n\n    /**\n     * @dev Returns the address of the current owner.\n     */\n    function owner() public view virtual returns (address) {\n        return _owner;\n    }\n\n    /**\n     * @dev Throws if the sender is not the owner.\n     */\n    function _checkOwner() internal view virtual {\n        require(owner() == _msgSender(), \"Ownable: caller is not the owner\");\n    }\n\n    /**\n     * @dev Leaves the contract without owner. It will not be possible to call\n     * `onlyOwner` functions anymore. Can only be called by the current owner.\n     *\n     * NOTE: Renouncing ownership will leave the contract without an owner,\n     * thereby removing any functionality that is only available to the owner.\n     */\n    function renounceOwnership() public virtual onlyOwner {\n        _transferOwnership(address(0));\n    }\n\n    /**\n     * @dev Transfers ownership of the contract to a new account (`newOwner`).\n     * Can only be called by the current owner.\n     */\n    function transferOwnership(address newOwner) public virtual onlyOwner {\n        require(newOwner != address(0), \"Ownable: new owner is the zero address\");\n        _transferOwnership(newOwner);\n    }\n\n    /**\n     * @dev Transfers ownership of the contract to a new account (`newOwner`).\n     * Internal function without access restriction.\n     */\n    function _transferOwnership(address newOwner) internal virtual {\n        address oldOwner = _owner;\n        _owner = newOwner;\n        emit OwnershipTransferred(oldOwner, newOwner);\n    }\n}\n"
    },
    "@openzeppelin/contracts/token/ERC721/ERC721.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v4.8.0) (token/ERC721/ERC721.sol)\n\npragma solidity ^0.8.0;\n\nimport \"./IERC721.sol\";\nimport \"./IERC721Receiver.sol\";\nimport \"./extensions/IERC721Metadata.sol\";\nimport \"../../utils/Address.sol\";\nimport \"../../utils/Context.sol\";\nimport \"../../utils/Strings.sol\";\nimport \"../../utils/introspection/ERC165.sol\";\n\n/**\n * @dev Implementation of https://eips.ethereum.org/EIPS/eip-721[ERC721] Non-Fungible Token Standard, including\n * the Metadata extension, but not including the Enumerable extension, which is available separately as\n * {ERC721Enumerable}.\n */\ncontract ERC721 is Context, ERC165, IERC721, IERC721Metadata {\n    using Address for address;\n    using Strings for uint256;\n\n    // Token name\n    string private _name;\n\n    // Token symbol\n    string private _symbol;\n\n    // Mapping from token ID to owner address\n    mapping(uint256 => address) private _owners;\n\n    // Mapping owner address to token count\n    mapping(address => uint256) private _balances;\n\n    // Mapping from token ID to approved address\n    mapping(uint256 => address) private _tokenApprovals;\n\n    // Mapping from owner to operator approvals\n    mapping(address => mapping(address => bool)) private _operatorApprovals;\n\n    /**\n     * @dev Initializes the contract by setting a `name` and a `symbol` to the token collection.\n     */\n    constructor(string memory name_, string memory symbol_) {\n        _name = name_;\n        _symbol = symbol_;\n    }\n\n    /**\n     * @dev See {IERC165-supportsInterface}.\n     */\n    function supportsInterface(bytes4 interfaceId) public view virtual override(ERC165, IERC165) returns (bool) {\n        return\n            interfaceId == type(IERC721).interfaceId ||\n            interfaceId == type(IERC721Metadata).interfaceId ||\n            super.supportsInterface(interfaceId);\n    }\n\n    /**\n     * @dev See {IERC721-balanceOf}.\n     */\n    function balanceOf(address owner) public view virtual override returns (uint256) {\n        require(owner != address(0), \"ERC721: address zero is not a valid owner\");\n        return _balances[owner];\n    }\n\n    /**\n     * @dev See {IERC721-ownerOf}.\n     */\n    function ownerOf(uint256 tokenId) public view virtual override returns (address) {\n        address owner = _ownerOf(tokenId);\n        require(owner != address(0), \"ERC721: invalid token ID\");\n        return owner;\n    }\n\n    /**\n     * @dev See {IERC721Metadata-name}.\n     */\n    function name() public view virtual override returns (string memory) {\n        return _name;\n    }\n\n    /**\n     * @dev See {IERC721Metadata-symbol}.\n     */\n    function symbol() public view virtual override returns (string memory) {\n        return _symbol;\n    }\n\n    /**\n     * @dev See {IERC721Metadata-tokenURI}.\n     */\n    function tokenURI(uint256 tokenId) public view virtual override returns (string memory) {\n        _requireMinted(tokenId);\n\n        string memory baseURI = _baseURI();\n        return bytes(baseURI).length > 0 ? string(abi.encodePacked(baseURI, tokenId.toString())) : \"\";\n    }\n\n    /**\n     * @dev Base URI for computing {tokenURI}. If set, the resulting URI for each\n     * token will be the concatenation of the `baseURI` and the `tokenId`. Empty\n     * by default, can be overridden in child contracts.\n     */\n    function _baseURI() internal view virtual returns (string memory) {\n        return \"\";\n    }\n\n    /**\n     * @dev See {IERC721-approve}.\n     */\n    function approve(address to, uint256 tokenId) public virtual override {\n        address owner = ERC721.ownerOf(tokenId);\n        require(to != owner, \"ERC721: approval to current owner\");\n\n        require(\n            _msgSender() == owner || isApprovedForAll(owner, _msgSender()),\n            \"ERC721: approve caller is not token owner or approved for all\"\n        );\n\n        _approve(to, tokenId);\n    }\n\n    /**\n     * @dev See {IERC721-getApproved}.\n     */\n    function getApproved(uint256 tokenId) public view virtual override returns (address) {\n        _requireMinted(tokenId);\n\n        return _tokenApprovals[tokenId];\n    }\n\n    /**\n     * @dev See {IERC721-setApprovalForAll}.\n     */\n    function setApprovalForAll(address operator, bool approved) public virtual override {\n        _setApprovalForAll(_msgSender(), operator, approved);\n    }\n\n    /**\n     * @dev See {IERC721-isApprovedForAll}.\n     */\n    function isApprovedForAll(address owner, address operator) public view virtual override returns (bool) {\n        return _operatorApprovals[owner][operator];\n    }\n\n    /**\n     * @dev See {IERC721-transferFrom}.\n     */\n    function transferFrom(\n        address from,\n        address to,\n        uint256 tokenId\n    ) public virtual override {\n        //solhint-disable-next-line max-line-length\n        require(_isApprovedOrOwner(_msgSender(), tokenId), \"ERC721: caller is not token owner or approved\");\n\n        _transfer(from, to, tokenId);\n    }\n\n    /**\n     * @dev See {IERC721-safeTransferFrom}.\n     */\n    function safeTransferFrom(\n        address from,\n        address to,\n        uint256 tokenId\n    ) public virtual override {\n        safeTransferFrom(from, to, tokenId, \"\");\n    }\n\n    /**\n     * @dev See {IERC721-safeTransferFrom}.\n     */\n    function safeTransferFrom(\n        address from,\n        address to,\n        uint256 tokenId,\n        bytes memory data\n    ) public virtual override {\n        require(_isApprovedOrOwner(_msgSender(), tokenId), \"ERC721: caller is not token owner or approved\");\n        _safeTransfer(from, to, tokenId, data);\n    }\n\n    /**\n     * @dev Safely transfers `tokenId` token from `from` to `to`, checking first that contract recipients\n     * are aware of the ERC721 protocol to prevent tokens from being forever locked.\n     *\n     * `data` is additional data, it has no specified format and it is sent in call to `to`.\n     *\n     * This internal function is equivalent to {safeTransferFrom}, and can be used to e.g.\n     * implement alternative mechanisms to perform token transfer, such as signature-based.\n     *\n     * Requirements:\n     *\n     * - `from` cannot be the zero address.\n     * - `to` cannot be the zero address.\n     * - `tokenId` token must exist and be owned by `from`.\n     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.\n     *\n     * Emits a {Transfer} event.\n     */\n    function _safeTransfer(\n        address from,\n        address to,\n        uint256 tokenId,\n        bytes memory data\n    ) internal virtual {\n        _transfer(from, to, tokenId);\n        require(_checkOnERC721Received(from, to, tokenId, data), \"ERC721: transfer to non ERC721Receiver implementer\");\n    }\n\n    /**\n     * @dev Returns the owner of the `tokenId`. Does NOT revert if token doesn't exist\n     */\n    function _ownerOf(uint256 tokenId) internal view virtual returns (address) {\n        return _owners[tokenId];\n    }\n\n    /**\n     * @dev Returns whether `tokenId` exists.\n     *\n     * Tokens can be managed by their owner or approved accounts via {approve} or {setApprovalForAll}.\n     *\n     * Tokens start existing when they are minted (`_mint`),\n     * and stop existing when they are burned (`_burn`).\n     */\n    function _exists(uint256 tokenId) internal view virtual returns (bool) {\n        return _ownerOf(tokenId) != address(0);\n    }\n\n    /**\n     * @dev Returns whether `spender` is allowed to manage `tokenId`.\n     *\n     * Requirements:\n     *\n     * - `tokenId` must exist.\n     */\n    function _isApprovedOrOwner(address spender, uint256 tokenId) internal view virtual returns (bool) {\n        address owner = ERC721.ownerOf(tokenId);\n        return (spender == owner || isApprovedForAll(owner, spender) || getApproved(tokenId) == spender);\n    }\n\n    /**\n     * @dev Safely mints `tokenId` and transfers it to `to`.\n     *\n     * Requirements:\n     *\n     * - `tokenId` must not exist.\n     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.\n     *\n     * Emits a {Transfer} event.\n     */\n    function _safeMint(address to, uint256 tokenId) internal virtual {\n        _safeMint(to, tokenId, \"\");\n    }\n\n    /**\n     * @dev Same as {xref-ERC721-_safeMint-address-uint256-}[`_safeMint`], with an additional `data` parameter which is\n     * forwarded in {IERC721Receiver-onERC721Received} to contract recipients.\n     */\n    function _safeMint(\n        address to,\n        uint256 tokenId,\n        bytes memory data\n    ) internal virtual {\n        _mint(to, tokenId);\n        require(\n            _checkOnERC721Received(address(0), to, tokenId, data),\n            \"ERC721: transfer to non ERC721Receiver implementer\"\n        );\n    }\n\n    /**\n     * @dev Mints `tokenId` and transfers it to `to`.\n     *\n     * WARNING: Usage of this method is discouraged, use {_safeMint} whenever possible\n     *\n     * Requirements:\n     *\n     * - `tokenId` must not exist.\n     * - `to` cannot be the zero address.\n     *\n     * Emits a {Transfer} event.\n     */\n    function _mint(address to, uint256 tokenId) internal virtual {\n        require(to != address(0), \"ERC721: mint to the zero address\");\n        require(!_exists(tokenId), \"ERC721: token already minted\");\n\n        _beforeTokenTransfer(address(0), to, tokenId, 1);\n\n        // Check that tokenId was not minted by `_beforeTokenTransfer` hook\n        require(!_exists(tokenId), \"ERC721: token already minted\");\n\n        unchecked {\n            // Will not overflow unless all 2**256 token ids are minted to the same owner.\n            // Given that tokens are minted one by one, it is impossible in practice that\n            // this ever happens. Might change if we allow batch minting.\n            // The ERC fails to describe this case.\n            _balances[to] += 1;\n        }\n\n        _owners[tokenId] = to;\n\n        emit Transfer(address(0), to, tokenId);\n\n        _afterTokenTransfer(address(0), to, tokenId, 1);\n    }\n\n    /**\n     * @dev Destroys `tokenId`.\n     * The approval is cleared when the token is burned.\n     * This is an internal function that does not check if the sender is authorized to operate on the token.\n     *\n     * Requirements:\n     *\n     * - `tokenId` must exist.\n     *\n     * Emits a {Transfer} event.\n     */\n    function _burn(uint256 tokenId) internal virtual {\n        address owner = ERC721.ownerOf(tokenId);\n\n        _beforeTokenTransfer(owner, address(0), tokenId, 1);\n\n        // Update ownership in case tokenId was transferred by `_beforeTokenTransfer` hook\n        owner = ERC721.ownerOf(tokenId);\n\n        // Clear approvals\n        delete _tokenApprovals[tokenId];\n\n        unchecked {\n            // Cannot overflow, as that would require more tokens to be burned/transferred\n            // out than the owner initially received through minting and transferring in.\n            _balances[owner] -= 1;\n        }\n        delete _owners[tokenId];\n\n        emit Transfer(owner, address(0), tokenId);\n\n        _afterTokenTransfer(owner, address(0), tokenId, 1);\n    }\n\n    /**\n     * @dev Transfers `tokenId` from `from` to `to`.\n     *  As opposed to {transferFrom}, this imposes no restrictions on msg.sender.\n     *\n     * Requirements:\n     *\n     * - `to` cannot be the zero address.\n     * - `tokenId` token must be owned by `from`.\n     *\n     * Emits a {Transfer} event.\n     */\n    function _transfer(\n        address from,\n        address to,\n        uint256 tokenId\n    ) internal virtual {\n        require(ERC721.ownerOf(tokenId) == from, \"ERC721: transfer from incorrect owner\");\n        require(to != address(0), \"ERC721: transfer to the zero address\");\n\n        _beforeTokenTransfer(from, to, tokenId, 1);\n\n        // Check that tokenId was not transferred by `_beforeTokenTransfer` hook\n        require(ERC721.ownerOf(tokenId) == from, \"ERC721: transfer from incorrect owner\");\n\n        // Clear approvals from the previous owner\n        delete _tokenApprovals[tokenId];\n\n        unchecked {\n            // `_balances[from]` cannot overflow for the same reason as described in `_burn`:\n            // `from`'s balance is the number of token held, which is at least one before the current\n            // transfer.\n            // `_balances[to]` could overflow in the conditions described in `_mint`. That would require\n            // all 2**256 token ids to be minted, which in practice is impossible.\n            _balances[from] -= 1;\n            _balances[to] += 1;\n        }\n        _owners[tokenId] = to;\n\n        emit Transfer(from, to, tokenId);\n\n        _afterTokenTransfer(from, to, tokenId, 1);\n    }\n\n    /**\n     * @dev Approve `to` to operate on `tokenId`\n     *\n     * Emits an {Approval} event.\n     */\n    function _approve(address to, uint256 tokenId) internal virtual {\n        _tokenApprovals[tokenId] = to;\n        emit Approval(ERC721.ownerOf(tokenId), to, tokenId);\n    }\n\n    /**\n     * @dev Approve `operator` to operate on all of `owner` tokens\n     *\n     * Emits an {ApprovalForAll} event.\n     */\n    function _setApprovalForAll(\n        address owner,\n        address operator,\n        bool approved\n    ) internal virtual {\n        require(owner != operator, \"ERC721: approve to caller\");\n        _operatorApprovals[owner][operator] = approved;\n        emit ApprovalForAll(owner, operator, approved);\n    }\n\n    /**\n     * @dev Reverts if the `tokenId` has not been minted yet.\n     */\n    function _requireMinted(uint256 tokenId) internal view virtual {\n        require(_exists(tokenId), \"ERC721: invalid token ID\");\n    }\n\n    /**\n     * @dev Internal function to invoke {IERC721Receiver-onERC721Received} on a target address.\n     * The call is not executed if the target address is not a contract.\n     *\n     * @param from address representing the previous owner of the given token ID\n     * @param to target address that will receive the tokens\n     * @param tokenId uint256 ID of the token to be transferred\n     * @param data bytes optional data to send along with the call\n     * @return bool whether the call correctly returned the expected magic value\n     */\n    function _checkOnERC721Received(\n        address from,\n        address to,\n        uint256 tokenId,\n        bytes memory data\n    ) private returns (bool) {\n        if (to.isContract()) {\n            try IERC721Receiver(to).onERC721Received(_msgSender(), from, tokenId, data) returns (bytes4 retval) {\n                return retval == IERC721Receiver.onERC721Received.selector;\n            } catch (bytes memory reason) {\n                if (reason.length == 0) {\n                    revert(\"ERC721: transfer to non ERC721Receiver implementer\");\n                } else {\n                    /// @solidity memory-safe-assembly\n                    assembly {\n                        revert(add(32, reason), mload(reason))\n                    }\n                }\n            }\n        } else {\n            return true;\n        }\n    }\n\n    /**\n     * @dev Hook that is called before any token transfer. This includes minting and burning. If {ERC721Consecutive} is\n     * used, the hook may be called as part of a consecutive (batch) mint, as indicated by `batchSize` greater than 1.\n     *\n     * Calling conditions:\n     *\n     * - When `from` and `to` are both non-zero, ``from``'s tokens will be transferred to `to`.\n     * - When `from` is zero, the tokens will be minted for `to`.\n     * - When `to` is zero, ``from``'s tokens will be burned.\n     * - `from` and `to` are never both zero.\n     * - `batchSize` is non-zero.\n     *\n     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].\n     */\n    function _beforeTokenTransfer(\n        address from,\n        address to,\n        uint256, /* firstTokenId */\n        uint256 batchSize\n    ) internal virtual {\n        if (batchSize > 1) {\n            if (from != address(0)) {\n                _balances[from] -= batchSize;\n            }\n            if (to != address(0)) {\n                _balances[to] += batchSize;\n            }\n        }\n    }\n\n    /**\n     * @dev Hook that is called after any token transfer. This includes minting and burning. If {ERC721Consecutive} is\n     * used, the hook may be called as part of a consecutive (batch) mint, as indicated by `batchSize` greater than 1.\n     *\n     * Calling conditions:\n     *\n     * - When `from` and `to` are both non-zero, ``from``'s tokens were transferred to `to`.\n     * - When `from` is zero, the tokens were minted for `to`.\n     * - When `to` is zero, ``from``'s tokens were burned.\n     * - `from` and `to` are never both zero.\n     * - `batchSize` is non-zero.\n     *\n     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].\n     */\n    function _afterTokenTransfer(\n        address from,\n        address to,\n        uint256 firstTokenId,\n        uint256 batchSize\n    ) internal virtual {}\n}\n"
    },
    "contracts/IOperatorFilterRegistry.sol": {
      "content": "// SPDX-License-Identifier: MIT\r\npragma solidity ^0.8.13;\r\n\r\ninterface IOperatorFilterRegistry {\r\n    function isOperatorAllowed(address registrant, address operator) external view returns (bool);\r\n    function register(address registrant) external;\r\n    function registerAndSubscribe(address registrant, address subscription) external;\r\n    function registerAndCopyEntries(address registrant, address registrantToCopy) external;\r\n    function unregister(address addr) external;\r\n    function updateOperator(address registrant, address operator, bool filtered) external;\r\n    function updateOperators(address registrant, address[] calldata operators, bool filtered) external;\r\n    function updateCodeHash(address registrant, bytes32 codehash, bool filtered) external;\r\n    function updateCodeHashes(address registrant, bytes32[] calldata codeHashes, bool filtered) external;\r\n    function subscribe(address registrant, address registrantToSubscribe) external;\r\n    function unsubscribe(address registrant, bool copyExistingEntries) external;\r\n    function subscriptionOf(address addr) external returns (address registrant);\r\n    function subscribers(address registrant) external returns (address[] memory);\r\n    function subscriberAt(address registrant, uint256 index) external returns (address);\r\n    function copyEntriesOf(address registrant, address registrantToCopy) external;\r\n    function isOperatorFiltered(address registrant, address operator) external returns (bool);\r\n    function isCodeHashOfFiltered(address registrant, address operatorWithCode) external returns (bool);\r\n    function isCodeHashFiltered(address registrant, bytes32 codeHash) external returns (bool);\r\n    function filteredOperators(address addr) external returns (address[] memory);\r\n    function filteredCodeHashes(address addr) external returns (bytes32[] memory);\r\n    function filteredOperatorAt(address registrant, uint256 index) external returns (address);\r\n    function filteredCodeHashAt(address registrant, uint256 index) external returns (bytes32);\r\n    function isRegistered(address addr) external returns (bool);\r\n    function codeHashOf(address addr) external returns (bytes32);\r\n}"
    },
    "contracts/RevokableOperatorFilterer.sol": {
      "content": "// SPDX-License-Identifier: MIT\r\npragma solidity ^0.8.13;\r\n\r\nimport {UpdatableOperatorFilterer} from \"./UpdatableOperatorFilterer.sol\";\r\nimport {IOperatorFilterRegistry} from \"./IOperatorFilterRegistry.sol\";\r\n\r\n/**\r\n * @title  RevokableOperatorFilterer\r\n * @notice This contract is meant to allow contracts to permanently skip OperatorFilterRegistry checks if desired. The\r\n *         Registry itself has an \"unregister\" function, but if the contract is ownable, the owner can re-register at\r\n *         any point. As implemented, this abstract contract allows the contract owner to permanently skip the\r\n *         OperatorFilterRegistry checks by calling revokeOperatorFilterRegistry. Once done, the registry\r\n *         address cannot be further updated.\r\n *         Note that OpenSea will still disable creator fee enforcement if filtered operators begin fulfilling orders\r\n *         on-chain, eg, if the registry is revoked or bypassed.\r\n */\r\nabstract contract RevokableOperatorFilterer is UpdatableOperatorFilterer {\r\n    error RegistryHasBeenRevoked();\r\n    error InitialRegistryAddressCannotBeZeroAddress();\r\n\r\n    bool public isOperatorFilterRegistryRevoked;\r\n\r\n    constructor(address _registry, address subscriptionOrRegistrantToCopy, bool subscribe)\r\n        UpdatableOperatorFilterer(_registry, subscriptionOrRegistrantToCopy, subscribe)\r\n    {\r\n        // don't allow creating a contract with a permanently revoked registry\r\n        if (_registry == address(0)) {\r\n            revert InitialRegistryAddressCannotBeZeroAddress();\r\n        }\r\n    }\r\n\r\n    function _checkFilterOperator(address operator) internal view virtual override {\r\n        if (address(operatorFilterRegistry) != address(0)) {\r\n            super._checkFilterOperator(operator);\r\n        }\r\n    }\r\n\r\n    /**\r\n     * @notice Update the address that the contract will make OperatorFilter checks against. When set to the zero\r\n     *         address, checks will be permanently bypassed, and the address cannot be updated again. OnlyOwner.\r\n     */\r\n    function updateOperatorFilterRegistryAddress(address newRegistry) public override {\r\n        if (msg.sender != owner()) {\r\n            revert OnlyOwner();\r\n        }\r\n        // if registry has been revoked, do not allow further updates\r\n        if (isOperatorFilterRegistryRevoked) {\r\n            revert RegistryHasBeenRevoked();\r\n        }\r\n\r\n        operatorFilterRegistry = IOperatorFilterRegistry(newRegistry);\r\n    }\r\n\r\n    /**\r\n     * @notice Revoke the OperatorFilterRegistry address, permanently bypassing checks. OnlyOwner.\r\n     */\r\n    function revokeOperatorFilterRegistry() public {\r\n        if (msg.sender != owner()) {\r\n            revert OnlyOwner();\r\n        }\r\n        // if registry has been revoked, do not allow further updates\r\n        if (isOperatorFilterRegistryRevoked) {\r\n            revert RegistryHasBeenRevoked();\r\n        }\r\n\r\n        // set to zero address to bypass checks\r\n        operatorFilterRegistry = IOperatorFilterRegistry(address(0));\r\n        isOperatorFilterRegistryRevoked = true;\r\n    }\r\n}"
    },
    "@openzeppelin/contracts/utils/introspection/ERC165.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts v4.4.1 (utils/introspection/ERC165.sol)\n\npragma solidity ^0.8.0;\n\nimport \"./IERC165.sol\";\n\n/**\n * @dev Implementation of the {IERC165} interface.\n *\n * Contracts that want to implement ERC165 should inherit from this contract and override {supportsInterface} to check\n * for the additional interface id that will be supported. For example:\n *\n * ```solidity\n * function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {\n *     return interfaceId == type(MyInterface).interfaceId || super.supportsInterface(interfaceId);\n * }\n * ```\n *\n * Alternatively, {ERC165Storage} provides an easier to use but more expensive implementation.\n */\nabstract contract ERC165 is IERC165 {\n    /**\n     * @dev See {IERC165-supportsInterface}.\n     */\n    function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {\n        return interfaceId == type(IERC165).interfaceId;\n    }\n}\n"
    },
    "@openzeppelin/contracts/utils/Strings.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v4.8.0) (utils/Strings.sol)\n\npragma solidity ^0.8.0;\n\nimport \"./math/Math.sol\";\n\n/**\n * @dev String operations.\n */\nlibrary Strings {\n    bytes16 private constant _SYMBOLS = \"0123456789abcdef\";\n    uint8 private constant _ADDRESS_LENGTH = 20;\n\n    /**\n     * @dev Converts a `uint256` to its ASCII `string` decimal representation.\n     */\n    function toString(uint256 value) internal pure returns (string memory) {\n        unchecked {\n            uint256 length = Math.log10(value) + 1;\n            string memory buffer = new string(length);\n            uint256 ptr;\n            /// @solidity memory-safe-assembly\n            assembly {\n                ptr := add(buffer, add(32, length))\n            }\n            while (true) {\n                ptr--;\n                /// @solidity memory-safe-assembly\n                assembly {\n                    mstore8(ptr, byte(mod(value, 10), _SYMBOLS))\n                }\n                value /= 10;\n                if (value == 0) break;\n            }\n            return buffer;\n        }\n    }\n\n    /**\n     * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation.\n     */\n    function toHexString(uint256 value) internal pure returns (string memory) {\n        unchecked {\n            return toHexString(value, Math.log256(value) + 1);\n        }\n    }\n\n    /**\n     * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation with fixed length.\n     */\n    function toHexString(uint256 value, uint256 length) internal pure returns (string memory) {\n        bytes memory buffer = new bytes(2 * length + 2);\n        buffer[0] = \"0\";\n        buffer[1] = \"x\";\n        for (uint256 i = 2 * length + 1; i > 1; --i) {\n            buffer[i] = _SYMBOLS[value & 0xf];\n            value >>= 4;\n        }\n        require(value == 0, \"Strings: hex length insufficient\");\n        return string(buffer);\n    }\n\n    /**\n     * @dev Converts an `address` with fixed length of 20 bytes to its not checksummed ASCII `string` hexadecimal representation.\n     */\n    function toHexString(address addr) internal pure returns (string memory) {\n        return toHexString(uint256(uint160(addr)), _ADDRESS_LENGTH);\n    }\n}\n"
    },
    "@openzeppelin/contracts/utils/Context.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts v4.4.1 (utils/Context.sol)\n\npragma solidity ^0.8.0;\n\n/**\n * @dev Provides information about the current execution context, including the\n * sender of the transaction and its data. While these are generally available\n * via msg.sender and msg.data, they should not be accessed in such a direct\n * manner, since when dealing with meta-transactions the account sending and\n * paying for execution may not be the actual sender (as far as an application\n * is concerned).\n *\n * This contract is only required for intermediate, library-like contracts.\n */\nabstract contract Context {\n    function _msgSender() internal view virtual returns (address) {\n        return msg.sender;\n    }\n\n    function _msgData() internal view virtual returns (bytes calldata) {\n        return msg.data;\n    }\n}\n"
    },
    "@openzeppelin/contracts/utils/Address.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v4.8.0) (utils/Address.sol)\n\npragma solidity ^0.8.1;\n\n/**\n * @dev Collection of functions related to the address type\n */\nlibrary Address {\n    /**\n     * @dev Returns true if `account` is a contract.\n     *\n     * [IMPORTANT]\n     * ====\n     * It is unsafe to assume that an address for which this function returns\n     * false is an externally-owned account (EOA) and not a contract.\n     *\n     * Among others, `isContract` will return false for the following\n     * types of addresses:\n     *\n     *  - an externally-owned account\n     *  - a contract in construction\n     *  - an address where a contract will be created\n     *  - an address where a contract lived, but was destroyed\n     * ====\n     *\n     * [IMPORTANT]\n     * ====\n     * You shouldn't rely on `isContract` to protect against flash loan attacks!\n     *\n     * Preventing calls from contracts is highly discouraged. It breaks composability, breaks support for smart wallets\n     * like Gnosis Safe, and does not provide security since it can be circumvented by calling from a contract\n     * constructor.\n     * ====\n     */\n    function isContract(address account) internal view returns (bool) {\n        // This method relies on extcodesize/address.code.length, which returns 0\n        // for contracts in construction, since the code is only stored at the end\n        // of the constructor execution.\n\n        return account.code.length > 0;\n    }\n\n    /**\n     * @dev Replacement for Solidity's `transfer`: sends `amount` wei to\n     * `recipient`, forwarding all available gas and reverting on errors.\n     *\n     * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost\n     * of certain opcodes, possibly making contracts go over the 2300 gas limit\n     * imposed by `transfer`, making them unable to receive funds via\n     * `transfer`. {sendValue} removes this limitation.\n     *\n     * https://diligence.consensys.net/posts/2019/09/stop-using-soliditys-transfer-now/[Learn more].\n     *\n     * IMPORTANT: because control is transferred to `recipient`, care must be\n     * taken to not create reentrancy vulnerabilities. Consider using\n     * {ReentrancyGuard} or the\n     * https://solidity.readthedocs.io/en/v0.5.11/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].\n     */\n    function sendValue(address payable recipient, uint256 amount) internal {\n        require(address(this).balance >= amount, \"Address: insufficient balance\");\n\n        (bool success, ) = recipient.call{value: amount}(\"\");\n        require(success, \"Address: unable to send value, recipient may have reverted\");\n    }\n\n    /**\n     * @dev Performs a Solidity function call using a low level `call`. A\n     * plain `call` is an unsafe replacement for a function call: use this\n     * function instead.\n     *\n     * If `target` reverts with a revert reason, it is bubbled up by this\n     * function (like regular Solidity function calls).\n     *\n     * Returns the raw returned data. To convert to the expected return value,\n     * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].\n     *\n     * Requirements:\n     *\n     * - `target` must be a contract.\n     * - calling `target` with `data` must not revert.\n     *\n     * _Available since v3.1._\n     */\n    function functionCall(address target, bytes memory data) internal returns (bytes memory) {\n        return functionCallWithValue(target, data, 0, \"Address: low-level call failed\");\n    }\n\n    /**\n     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with\n     * `errorMessage` as a fallback revert reason when `target` reverts.\n     *\n     * _Available since v3.1._\n     */\n    function functionCall(\n        address target,\n        bytes memory data,\n        string memory errorMessage\n    ) internal returns (bytes memory) {\n        return functionCallWithValue(target, data, 0, errorMessage);\n    }\n\n    /**\n     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],\n     * but also transferring `value` wei to `target`.\n     *\n     * Requirements:\n     *\n     * - the calling contract must have an ETH balance of at least `value`.\n     * - the called Solidity function must be `payable`.\n     *\n     * _Available since v3.1._\n     */\n    function functionCallWithValue(\n        address target,\n        bytes memory data,\n        uint256 value\n    ) internal returns (bytes memory) {\n        return functionCallWithValue(target, data, value, \"Address: low-level call with value failed\");\n    }\n\n    /**\n     * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but\n     * with `errorMessage` as a fallback revert reason when `target` reverts.\n     *\n     * _Available since v3.1._\n     */\n    function functionCallWithValue(\n        address target,\n        bytes memory data,\n        uint256 value,\n        string memory errorMessage\n    ) internal returns (bytes memory) {\n        require(address(this).balance >= value, \"Address: insufficient balance for call\");\n        (bool success, bytes memory returndata) = target.call{value: value}(data);\n        return verifyCallResultFromTarget(target, success, returndata, errorMessage);\n    }\n\n    /**\n     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],\n     * but performing a static call.\n     *\n     * _Available since v3.3._\n     */\n    function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {\n        return functionStaticCall(target, data, \"Address: low-level static call failed\");\n    }\n\n    /**\n     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],\n     * but performing a static call.\n     *\n     * _Available since v3.3._\n     */\n    function functionStaticCall(\n        address target,\n        bytes memory data,\n        string memory errorMessage\n    ) internal view returns (bytes memory) {\n        (bool success, bytes memory returndata) = target.staticcall(data);\n        return verifyCallResultFromTarget(target, success, returndata, errorMessage);\n    }\n\n    /**\n     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],\n     * but performing a delegate call.\n     *\n     * _Available since v3.4._\n     */\n    function functionDelegateCall(address target, bytes memory data) internal returns (bytes memory) {\n        return functionDelegateCall(target, data, \"Address: low-level delegate call failed\");\n    }\n\n    /**\n     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],\n     * but performing a delegate call.\n     *\n     * _Available since v3.4._\n     */\n    function functionDelegateCall(\n        address target,\n        bytes memory data,\n        string memory errorMessage\n    ) internal returns (bytes memory) {\n        (bool success, bytes memory returndata) = target.delegatecall(data);\n        return verifyCallResultFromTarget(target, success, returndata, errorMessage);\n    }\n\n    /**\n     * @dev Tool to verify that a low level call to smart-contract was successful, and revert (either by bubbling\n     * the revert reason or using the provided one) in case of unsuccessful call or if target was not a contract.\n     *\n     * _Available since v4.8._\n     */\n    function verifyCallResultFromTarget(\n        address target,\n        bool success,\n        bytes memory returndata,\n        string memory errorMessage\n    ) internal view returns (bytes memory) {\n        if (success) {\n            if (returndata.length == 0) {\n                // only check isContract if the call was successful and the return data is empty\n                // otherwise we already know that it was a contract\n                require(isContract(target), \"Address: call to non-contract\");\n            }\n            return returndata;\n        } else {\n            _revert(returndata, errorMessage);\n        }\n    }\n\n    /**\n     * @dev Tool to verify that a low level call was successful, and revert if it wasn't, either by bubbling the\n     * revert reason or using the provided one.\n     *\n     * _Available since v4.3._\n     */\n    function verifyCallResult(\n        bool success,\n        bytes memory returndata,\n        string memory errorMessage\n    ) internal pure returns (bytes memory) {\n        if (success) {\n            return returndata;\n        } else {\n            _revert(returndata, errorMessage);\n        }\n    }\n\n    function _revert(bytes memory returndata, string memory errorMessage) private pure {\n        // Look for revert reason and bubble it up if present\n        if (returndata.length > 0) {\n            // The easiest way to bubble the revert reason is using memory via assembly\n            /// @solidity memory-safe-assembly\n            assembly {\n                let returndata_size := mload(returndata)\n                revert(add(32, returndata), returndata_size)\n            }\n        } else {\n            revert(errorMessage);\n        }\n    }\n}\n"
    },
    "@openzeppelin/contracts/token/ERC721/extensions/IERC721Metadata.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts v4.4.1 (token/ERC721/extensions/IERC721Metadata.sol)\n\npragma solidity ^0.8.0;\n\nimport \"../IERC721.sol\";\n\n/**\n * @title ERC-721 Non-Fungible Token Standard, optional metadata extension\n * @dev See https://eips.ethereum.org/EIPS/eip-721\n */\ninterface IERC721Metadata is IERC721 {\n    /**\n     * @dev Returns the token collection name.\n     */\n    function name() external view returns (string memory);\n\n    /**\n     * @dev Returns the token collection symbol.\n     */\n    function symbol() external view returns (string memory);\n\n    /**\n     * @dev Returns the Uniform Resource Identifier (URI) for `tokenId` token.\n     */\n    function tokenURI(uint256 tokenId) external view returns (string memory);\n}\n"
    },
    "@openzeppelin/contracts/token/ERC721/IERC721Receiver.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v4.6.0) (token/ERC721/IERC721Receiver.sol)\n\npragma solidity ^0.8.0;\n\n/**\n * @title ERC721 token receiver interface\n * @dev Interface for any contract that wants to support safeTransfers\n * from ERC721 asset contracts.\n */\ninterface IERC721Receiver {\n    /**\n     * @dev Whenever an {IERC721} `tokenId` token is transferred to this contract via {IERC721-safeTransferFrom}\n     * by `operator` from `from`, this function is called.\n     *\n     * It must return its Solidity selector to confirm the token transfer.\n     * If any other value is returned or the interface is not implemented by the recipient, the transfer will be reverted.\n     *\n     * The selector can be obtained in Solidity with `IERC721Receiver.onERC721Received.selector`.\n     */\n    function onERC721Received(\n        address operator,\n        address from,\n        uint256 tokenId,\n        bytes calldata data\n    ) external returns (bytes4);\n}\n"
    },
    "@openzeppelin/contracts/token/ERC721/IERC721.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v4.8.0) (token/ERC721/IERC721.sol)\n\npragma solidity ^0.8.0;\n\nimport \"../../utils/introspection/IERC165.sol\";\n\n/**\n * @dev Required interface of an ERC721 compliant contract.\n */\ninterface IERC721 is IERC165 {\n    /**\n     * @dev Emitted when `tokenId` token is transferred from `from` to `to`.\n     */\n    event Transfer(address indexed from, address indexed to, uint256 indexed tokenId);\n\n    /**\n     * @dev Emitted when `owner` enables `approved` to manage the `tokenId` token.\n     */\n    event Approval(address indexed owner, address indexed approved, uint256 indexed tokenId);\n\n    /**\n     * @dev Emitted when `owner` enables or disables (`approved`) `operator` to manage all of its assets.\n     */\n    event ApprovalForAll(address indexed owner, address indexed operator, bool approved);\n\n    /**\n     * @dev Returns the number of tokens in ``owner``'s account.\n     */\n    function balanceOf(address owner) external view returns (uint256 balance);\n\n    /**\n     * @dev Returns the owner of the `tokenId` token.\n     *\n     * Requirements:\n     *\n     * - `tokenId` must exist.\n     */\n    function ownerOf(uint256 tokenId) external view returns (address owner);\n\n    /**\n     * @dev Safely transfers `tokenId` token from `from` to `to`.\n     *\n     * Requirements:\n     *\n     * - `from` cannot be the zero address.\n     * - `to` cannot be the zero address.\n     * - `tokenId` token must exist and be owned by `from`.\n     * - If the caller is not `from`, it must be approved to move this token by either {approve} or {setApprovalForAll}.\n     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.\n     *\n     * Emits a {Transfer} event.\n     */\n    function safeTransferFrom(\n        address from,\n        address to,\n        uint256 tokenId,\n        bytes calldata data\n    ) external;\n\n    /**\n     * @dev Safely transfers `tokenId` token from `from` to `to`, checking first that contract recipients\n     * are aware of the ERC721 protocol to prevent tokens from being forever locked.\n     *\n     * Requirements:\n     *\n     * - `from` cannot be the zero address.\n     * - `to` cannot be the zero address.\n     * - `tokenId` token must exist and be owned by `from`.\n     * - If the caller is not `from`, it must have been allowed to move this token by either {approve} or {setApprovalForAll}.\n     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.\n     *\n     * Emits a {Transfer} event.\n     */\n    function safeTransferFrom(\n        address from,\n        address to,\n        uint256 tokenId\n    ) external;\n\n    /**\n     * @dev Transfers `tokenId` token from `from` to `to`.\n     *\n     * WARNING: Note that the caller is responsible to confirm that the recipient is capable of receiving ERC721\n     * or else they may be permanently lost. Usage of {safeTransferFrom} prevents loss, though the caller must\n     * understand this adds an external call which potentially creates a reentrancy vulnerability.\n     *\n     * Requirements:\n     *\n     * - `from` cannot be the zero address.\n     * - `to` cannot be the zero address.\n     * - `tokenId` token must be owned by `from`.\n     * - If the caller is not `from`, it must be approved to move this token by either {approve} or {setApprovalForAll}.\n     *\n     * Emits a {Transfer} event.\n     */\n    function transferFrom(\n        address from,\n        address to,\n        uint256 tokenId\n    ) external;\n\n    /**\n     * @dev Gives permission to `to` to transfer `tokenId` token to another account.\n     * The approval is cleared when the token is transferred.\n     *\n     * Only a single account can be approved at a time, so approving the zero address clears previous approvals.\n     *\n     * Requirements:\n     *\n     * - The caller must own the token or be an approved operator.\n     * - `tokenId` must exist.\n     *\n     * Emits an {Approval} event.\n     */\n    function approve(address to, uint256 tokenId) external;\n\n    /**\n     * @dev Approve or remove `operator` as an operator for the caller.\n     * Operators can call {transferFrom} or {safeTransferFrom} for any token owned by the caller.\n     *\n     * Requirements:\n     *\n     * - The `operator` cannot be the caller.\n     *\n     * Emits an {ApprovalForAll} event.\n     */\n    function setApprovalForAll(address operator, bool _approved) external;\n\n    /**\n     * @dev Returns the account approved for `tokenId` token.\n     *\n     * Requirements:\n     *\n     * - `tokenId` must exist.\n     */\n    function getApproved(uint256 tokenId) external view returns (address operator);\n\n    /**\n     * @dev Returns if the `operator` is allowed to manage all of the assets of `owner`.\n     *\n     * See {setApprovalForAll}\n     */\n    function isApprovedForAll(address owner, address operator) external view returns (bool);\n}\n"
    },
    "@openzeppelin/contracts/utils/introspection/IERC165.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts v4.4.1 (utils/introspection/IERC165.sol)\n\npragma solidity ^0.8.0;\n\n/**\n * @dev Interface of the ERC165 standard, as defined in the\n * https://eips.ethereum.org/EIPS/eip-165[EIP].\n *\n * Implementers can declare support of contract interfaces, which can then be\n * queried by others ({ERC165Checker}).\n *\n * For an implementation, see {ERC165}.\n */\ninterface IERC165 {\n    /**\n     * @dev Returns true if this contract implements the interface defined by\n     * `interfaceId`. See the corresponding\n     * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[EIP section]\n     * to learn more about how these ids are created.\n     *\n     * This function call must use less than 30 000 gas.\n     */\n    function supportsInterface(bytes4 interfaceId) external view returns (bool);\n}\n"
    },
    "@openzeppelin/contracts/utils/math/Math.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v4.8.0) (utils/math/Math.sol)\n\npragma solidity ^0.8.0;\n\n/**\n * @dev Standard math utilities missing in the Solidity language.\n */\nlibrary Math {\n    enum Rounding {\n        Down, // Toward negative infinity\n        Up, // Toward infinity\n        Zero // Toward zero\n    }\n\n    /**\n     * @dev Returns the largest of two numbers.\n     */\n    function max(uint256 a, uint256 b) internal pure returns (uint256) {\n        return a > b ? a : b;\n    }\n\n    /**\n     * @dev Returns the smallest of two numbers.\n     */\n    function min(uint256 a, uint256 b) internal pure returns (uint256) {\n        return a < b ? a : b;\n    }\n\n    /**\n     * @dev Returns the average of two numbers. The result is rounded towards\n     * zero.\n     */\n    function average(uint256 a, uint256 b) internal pure returns (uint256) {\n        // (a + b) / 2 can overflow.\n        return (a & b) + (a ^ b) / 2;\n    }\n\n    /**\n     * @dev Returns the ceiling of the division of two numbers.\n     *\n     * This differs from standard division with `/` in that it rounds up instead\n     * of rounding down.\n     */\n    function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) {\n        // (a + b - 1) / b can overflow on addition, so we distribute.\n        return a == 0 ? 0 : (a - 1) / b + 1;\n    }\n\n    /**\n     * @notice Calculates floor(x * y / denominator) with full precision. Throws if result overflows a uint256 or denominator == 0\n     * @dev Original credit to Remco Bloemen under MIT license (https://xn--2-umb.com/21/muldiv)\n     * with further edits by Uniswap Labs also under MIT license.\n     */\n    function mulDiv(\n        uint256 x,\n        uint256 y,\n        uint256 denominator\n    ) internal pure returns (uint256 result) {\n        unchecked {\n            // 512-bit multiply [prod1 prod0] = x * y. Compute the product mod 2^256 and mod 2^256 - 1, then use\n            // use the Chinese Remainder Theorem to reconstruct the 512 bit result. The result is stored in two 256\n            // variables such that product = prod1 * 2^256 + prod0.\n            uint256 prod0; // Least significant 256 bits of the product\n            uint256 prod1; // Most significant 256 bits of the product\n            assembly {\n                let mm := mulmod(x, y, not(0))\n                prod0 := mul(x, y)\n                prod1 := sub(sub(mm, prod0), lt(mm, prod0))\n            }\n\n            // Handle non-overflow cases, 256 by 256 division.\n            if (prod1 == 0) {\n                return prod0 / denominator;\n            }\n\n            // Make sure the result is less than 2^256. Also prevents denominator == 0.\n            require(denominator > prod1);\n\n            ///////////////////////////////////////////////\n            // 512 by 256 division.\n            ///////////////////////////////////////////////\n\n            // Make division exact by subtracting the remainder from [prod1 prod0].\n            uint256 remainder;\n            assembly {\n                // Compute remainder using mulmod.\n                remainder := mulmod(x, y, denominator)\n\n                // Subtract 256 bit number from 512 bit number.\n                prod1 := sub(prod1, gt(remainder, prod0))\n                prod0 := sub(prod0, remainder)\n            }\n\n            // Factor powers of two out of denominator and compute largest power of two divisor of denominator. Always >= 1.\n            // See https://cs.stackexchange.com/q/138556/92363.\n\n            // Does not overflow because the denominator cannot be zero at this stage in the function.\n            uint256 twos = denominator & (~denominator + 1);\n            assembly {\n                // Divide denominator by twos.\n                denominator := div(denominator, twos)\n\n                // Divide [prod1 prod0] by twos.\n                prod0 := div(prod0, twos)\n\n                // Flip twos such that it is 2^256 / twos. If twos is zero, then it becomes one.\n                twos := add(div(sub(0, twos), twos), 1)\n            }\n\n            // Shift in bits from prod1 into prod0.\n            prod0 |= prod1 * twos;\n\n            // Invert denominator mod 2^256. Now that denominator is an odd number, it has an inverse modulo 2^256 such\n            // that denominator * inv = 1 mod 2^256. Compute the inverse by starting with a seed that is correct for\n            // four bits. That is, denominator * inv = 1 mod 2^4.\n            uint256 inverse = (3 * denominator) ^ 2;\n\n            // Use the Newton-Raphson iteration to improve the precision. Thanks to Hensel's lifting lemma, this also works\n            // in modular arithmetic, doubling the correct bits in each step.\n            inverse *= 2 - denominator * inverse; // inverse mod 2^8\n            inverse *= 2 - denominator * inverse; // inverse mod 2^16\n            inverse *= 2 - denominator * inverse; // inverse mod 2^32\n            inverse *= 2 - denominator * inverse; // inverse mod 2^64\n            inverse *= 2 - denominator * inverse; // inverse mod 2^128\n            inverse *= 2 - denominator * inverse; // inverse mod 2^256\n\n            // Because the division is now exact we can divide by multiplying with the modular inverse of denominator.\n            // This will give us the correct result modulo 2^256. Since the preconditions guarantee that the outcome is\n            // less than 2^256, this is the final result. We don't need to compute the high bits of the result and prod1\n            // is no longer required.\n            result = prod0 * inverse;\n            return result;\n        }\n    }\n\n    /**\n     * @notice Calculates x * y / denominator with full precision, following the selected rounding direction.\n     */\n    function mulDiv(\n        uint256 x,\n        uint256 y,\n        uint256 denominator,\n        Rounding rounding\n    ) internal pure returns (uint256) {\n        uint256 result = mulDiv(x, y, denominator);\n        if (rounding == Rounding.Up && mulmod(x, y, denominator) > 0) {\n            result += 1;\n        }\n        return result;\n    }\n\n    /**\n     * @dev Returns the square root of a number. If the number is not a perfect square, the value is rounded down.\n     *\n     * Inspired by Henry S. Warren, Jr.'s \"Hacker's Delight\" (Chapter 11).\n     */\n    function sqrt(uint256 a) internal pure returns (uint256) {\n        if (a == 0) {\n            return 0;\n        }\n\n        // For our first guess, we get the biggest power of 2 which is smaller than the square root of the target.\n        //\n        // We know that the \"msb\" (most significant bit) of our target number `a` is a power of 2 such that we have\n        // `msb(a) <= a < 2*msb(a)`. This value can be written `msb(a)=2**k` with `k=log2(a)`.\n        //\n        // This can be rewritten `2**log2(a) <= a < 2**(log2(a) + 1)`\n        // → `sqrt(2**k) <= sqrt(a) < sqrt(2**(k+1))`\n        // → `2**(k/2) <= sqrt(a) < 2**((k+1)/2) <= 2**(k/2 + 1)`\n        //\n        // Consequently, `2**(log2(a) / 2)` is a good first approximation of `sqrt(a)` with at least 1 correct bit.\n        uint256 result = 1 << (log2(a) >> 1);\n\n        // At this point `result` is an estimation with one bit of precision. We know the true value is a uint128,\n        // since it is the square root of a uint256. Newton's method converges quadratically (precision doubles at\n        // every iteration). We thus need at most 7 iteration to turn our partial result with one bit of precision\n        // into the expected uint128 result.\n        unchecked {\n            result = (result + a / result) >> 1;\n            result = (result + a / result) >> 1;\n            result = (result + a / result) >> 1;\n            result = (result + a / result) >> 1;\n            result = (result + a / result) >> 1;\n            result = (result + a / result) >> 1;\n            result = (result + a / result) >> 1;\n            return min(result, a / result);\n        }\n    }\n\n    /**\n     * @notice Calculates sqrt(a), following the selected rounding direction.\n     */\n    function sqrt(uint256 a, Rounding rounding) internal pure returns (uint256) {\n        unchecked {\n            uint256 result = sqrt(a);\n            return result + (rounding == Rounding.Up && result * result < a ? 1 : 0);\n        }\n    }\n\n    /**\n     * @dev Return the log in base 2, rounded down, of a positive value.\n     * Returns 0 if given 0.\n     */\n    function log2(uint256 value) internal pure returns (uint256) {\n        uint256 result = 0;\n        unchecked {\n            if (value >> 128 > 0) {\n                value >>= 128;\n                result += 128;\n            }\n            if (value >> 64 > 0) {\n                value >>= 64;\n                result += 64;\n            }\n            if (value >> 32 > 0) {\n                value >>= 32;\n                result += 32;\n            }\n            if (value >> 16 > 0) {\n                value >>= 16;\n                result += 16;\n            }\n            if (value >> 8 > 0) {\n                value >>= 8;\n                result += 8;\n            }\n            if (value >> 4 > 0) {\n                value >>= 4;\n                result += 4;\n            }\n            if (value >> 2 > 0) {\n                value >>= 2;\n                result += 2;\n            }\n            if (value >> 1 > 0) {\n                result += 1;\n            }\n        }\n        return result;\n    }\n\n    /**\n     * @dev Return the log in base 2, following the selected rounding direction, of a positive value.\n     * Returns 0 if given 0.\n     */\n    function log2(uint256 value, Rounding rounding) internal pure returns (uint256) {\n        unchecked {\n            uint256 result = log2(value);\n            return result + (rounding == Rounding.Up && 1 << result < value ? 1 : 0);\n        }\n    }\n\n    /**\n     * @dev Return the log in base 10, rounded down, of a positive value.\n     * Returns 0 if given 0.\n     */\n    function log10(uint256 value) internal pure returns (uint256) {\n        uint256 result = 0;\n        unchecked {\n            if (value >= 10**64) {\n                value /= 10**64;\n                result += 64;\n            }\n            if (value >= 10**32) {\n                value /= 10**32;\n                result += 32;\n            }\n            if (value >= 10**16) {\n                value /= 10**16;\n                result += 16;\n            }\n            if (value >= 10**8) {\n                value /= 10**8;\n                result += 8;\n            }\n            if (value >= 10**4) {\n                value /= 10**4;\n                result += 4;\n            }\n            if (value >= 10**2) {\n                value /= 10**2;\n                result += 2;\n            }\n            if (value >= 10**1) {\n                result += 1;\n            }\n        }\n        return result;\n    }\n\n    /**\n     * @dev Return the log in base 10, following the selected rounding direction, of a positive value.\n     * Returns 0 if given 0.\n     */\n    function log10(uint256 value, Rounding rounding) internal pure returns (uint256) {\n        unchecked {\n            uint256 result = log10(value);\n            return result + (rounding == Rounding.Up && 10**result < value ? 1 : 0);\n        }\n    }\n\n    /**\n     * @dev Return the log in base 256, rounded down, of a positive value.\n     * Returns 0 if given 0.\n     *\n     * Adding one to the result gives the number of pairs of hex symbols needed to represent `value` as a hex string.\n     */\n    function log256(uint256 value) internal pure returns (uint256) {\n        uint256 result = 0;\n        unchecked {\n            if (value >> 128 > 0) {\n                value >>= 128;\n                result += 16;\n            }\n            if (value >> 64 > 0) {\n                value >>= 64;\n                result += 8;\n            }\n            if (value >> 32 > 0) {\n                value >>= 32;\n                result += 4;\n            }\n            if (value >> 16 > 0) {\n                value >>= 16;\n                result += 2;\n            }\n            if (value >> 8 > 0) {\n                result += 1;\n            }\n        }\n        return result;\n    }\n\n    /**\n     * @dev Return the log in base 10, following the selected rounding direction, of a positive value.\n     * Returns 0 if given 0.\n     */\n    function log256(uint256 value, Rounding rounding) internal pure returns (uint256) {\n        unchecked {\n            uint256 result = log256(value);\n            return result + (rounding == Rounding.Up && 1 << (result * 8) < value ? 1 : 0);\n        }\n    }\n}\n"
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