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    Contract Diff Checker

    Contract Name:
    SharkyApe

    Contract Source Code:

    File 1 of 1 : SharkyApe

    // SPDX-License-Identifier: MIT
    // File: erc721a/contracts/IERC721A.sol
    
    
    // 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);
    }
    
    // File: erc721a/contracts/ERC721A.sol
    
    
    // ERC721A Contracts v4.3.0
    // Creator: Chiru Labs
    
    pragma solidity ^0.8.4;
    
    
    /**
     * @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)
            }
        }
    }
    
    // File: @openzeppelin/contracts/utils/Context.sol
    
    
    // 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;
        }
    }
    
    // File: @openzeppelin/contracts/access/Ownable.sol
    
    
    // OpenZeppelin Contracts (last updated v5.0.0) (access/Ownable.sol)
    
    pragma solidity ^0.8.20;
    
    
    /**
     * @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);
        }
    }
    
    // File: @openzeppelin/contracts/utils/Counters.sol
    
    
    // OpenZeppelin Contracts v4.4.1 (utils/Counters.sol)
    
    pragma solidity ^0.8.0;
    
    /**
     * @title Counters
     * @author Matt Condon (@shrugs)
     * @dev Provides counters that can only be incremented, decremented or reset. This can be used e.g. to track the number
     * of elements in a mapping, issuing ERC721 ids, or counting request ids.
     *
     * Include with `using Counters for Counters.Counter;`
     */
    library Counters {
        struct Counter {
            // This variable should never be directly accessed by users of the library: interactions must be restricted to
            // the library's function. As of Solidity v0.5.2, this cannot be enforced, though there is a proposal to add
            // this feature: see https://github.com/ethereum/solidity/issues/4637
            uint256 _value; // default: 0
        }
    
        function current(Counter storage counter) internal view returns (uint256) {
            return counter._value;
        }
    
        function increment(Counter storage counter) internal {
            unchecked {
                counter._value += 1;
            }
        }
    
        function decrement(Counter storage counter) internal {
            uint256 value = counter._value;
            require(value > 0, "Counter: decrement overflow");
            unchecked {
                counter._value = value - 1;
            }
        }
    
        function reset(Counter storage counter) internal {
            counter._value = 0;
        }
    }
    
    // File: @openzeppelin/contracts/utils/Panic.sol
    
    
    // OpenZeppelin Contracts (last updated v5.1.0) (utils/Panic.sol)
    
    pragma solidity ^0.8.20;
    
    /**
     * @dev Helper library for emitting standardized panic codes.
     *
     * ```solidity
     * contract Example {
     *      using Panic for uint256;
     *
     *      // Use any of the declared internal constants
     *      function foo() { Panic.GENERIC.panic(); }
     *
     *      // Alternatively
     *      function foo() { Panic.panic(Panic.GENERIC); }
     * }
     * ```
     *
     * Follows the list from https://github.com/ethereum/solidity/blob/v0.8.24/libsolutil/ErrorCodes.h[libsolutil].
     *
     * _Available since v5.1._
     */
    // slither-disable-next-line unused-state
    library Panic {
        /// @dev generic / unspecified error
        uint256 internal constant GENERIC = 0x00;
        /// @dev used by the assert() builtin
        uint256 internal constant ASSERT = 0x01;
        /// @dev arithmetic underflow or overflow
        uint256 internal constant UNDER_OVERFLOW = 0x11;
        /// @dev division or modulo by zero
        uint256 internal constant DIVISION_BY_ZERO = 0x12;
        /// @dev enum conversion error
        uint256 internal constant ENUM_CONVERSION_ERROR = 0x21;
        /// @dev invalid encoding in storage
        uint256 internal constant STORAGE_ENCODING_ERROR = 0x22;
        /// @dev empty array pop
        uint256 internal constant EMPTY_ARRAY_POP = 0x31;
        /// @dev array out of bounds access
        uint256 internal constant ARRAY_OUT_OF_BOUNDS = 0x32;
        /// @dev resource error (too large allocation or too large array)
        uint256 internal constant RESOURCE_ERROR = 0x41;
        /// @dev calling invalid internal function
        uint256 internal constant INVALID_INTERNAL_FUNCTION = 0x51;
    
        /// @dev Reverts with a panic code. Recommended to use with
        /// the internal constants with predefined codes.
        function panic(uint256 code) internal pure {
            assembly ("memory-safe") {
                mstore(0x00, 0x4e487b71)
                mstore(0x20, code)
                revert(0x1c, 0x24)
            }
        }
    }
    
    // File: @openzeppelin/contracts/utils/math/SafeCast.sol
    
    
    // OpenZeppelin Contracts (last updated v5.1.0) (utils/math/SafeCast.sol)
    // This file was procedurally generated from scripts/generate/templates/SafeCast.js.
    
    pragma solidity ^0.8.20;
    
    /**
     * @dev Wrappers over Solidity's uintXX/intXX/bool casting operators with added overflow
     * checks.
     *
     * Downcasting from uint256/int256 in Solidity does not revert on overflow. This can
     * easily result in undesired exploitation or bugs, since developers usually
     * assume that overflows raise errors. `SafeCast` restores this intuition by
     * reverting the transaction when such an operation overflows.
     *
     * Using this library instead of the unchecked operations eliminates an entire
     * class of bugs, so it's recommended to use it always.
     */
    library SafeCast {
        /**
         * @dev Value doesn't fit in an uint of `bits` size.
         */
        error SafeCastOverflowedUintDowncast(uint8 bits, uint256 value);
    
        /**
         * @dev An int value doesn't fit in an uint of `bits` size.
         */
        error SafeCastOverflowedIntToUint(int256 value);
    
        /**
         * @dev Value doesn't fit in an int of `bits` size.
         */
        error SafeCastOverflowedIntDowncast(uint8 bits, int256 value);
    
        /**
         * @dev An uint value doesn't fit in an int of `bits` size.
         */
        error SafeCastOverflowedUintToInt(uint256 value);
    
        /**
         * @dev Returns the downcasted uint248 from uint256, reverting on
         * overflow (when the input is greater than largest uint248).
         *
         * Counterpart to Solidity's `uint248` operator.
         *
         * Requirements:
         *
         * - input must fit into 248 bits
         */
        function toUint248(uint256 value) internal pure returns (uint248) {
            if (value > type(uint248).max) {
                revert SafeCastOverflowedUintDowncast(248, value);
            }
            return uint248(value);
        }
    
        /**
         * @dev Returns the downcasted uint240 from uint256, reverting on
         * overflow (when the input is greater than largest uint240).
         *
         * Counterpart to Solidity's `uint240` operator.
         *
         * Requirements:
         *
         * - input must fit into 240 bits
         */
        function toUint240(uint256 value) internal pure returns (uint240) {
            if (value > type(uint240).max) {
                revert SafeCastOverflowedUintDowncast(240, value);
            }
            return uint240(value);
        }
    
        /**
         * @dev Returns the downcasted uint232 from uint256, reverting on
         * overflow (when the input is greater than largest uint232).
         *
         * Counterpart to Solidity's `uint232` operator.
         *
         * Requirements:
         *
         * - input must fit into 232 bits
         */
        function toUint232(uint256 value) internal pure returns (uint232) {
            if (value > type(uint232).max) {
                revert SafeCastOverflowedUintDowncast(232, value);
            }
            return uint232(value);
        }
    
        /**
         * @dev Returns the downcasted uint224 from uint256, reverting on
         * overflow (when the input is greater than largest uint224).
         *
         * Counterpart to Solidity's `uint224` operator.
         *
         * Requirements:
         *
         * - input must fit into 224 bits
         */
        function toUint224(uint256 value) internal pure returns (uint224) {
            if (value > type(uint224).max) {
                revert SafeCastOverflowedUintDowncast(224, value);
            }
            return uint224(value);
        }
    
        /**
         * @dev Returns the downcasted uint216 from uint256, reverting on
         * overflow (when the input is greater than largest uint216).
         *
         * Counterpart to Solidity's `uint216` operator.
         *
         * Requirements:
         *
         * - input must fit into 216 bits
         */
        function toUint216(uint256 value) internal pure returns (uint216) {
            if (value > type(uint216).max) {
                revert SafeCastOverflowedUintDowncast(216, value);
            }
            return uint216(value);
        }
    
        /**
         * @dev Returns the downcasted uint208 from uint256, reverting on
         * overflow (when the input is greater than largest uint208).
         *
         * Counterpart to Solidity's `uint208` operator.
         *
         * Requirements:
         *
         * - input must fit into 208 bits
         */
        function toUint208(uint256 value) internal pure returns (uint208) {
            if (value > type(uint208).max) {
                revert SafeCastOverflowedUintDowncast(208, value);
            }
            return uint208(value);
        }
    
        /**
         * @dev Returns the downcasted uint200 from uint256, reverting on
         * overflow (when the input is greater than largest uint200).
         *
         * Counterpart to Solidity's `uint200` operator.
         *
         * Requirements:
         *
         * - input must fit into 200 bits
         */
        function toUint200(uint256 value) internal pure returns (uint200) {
            if (value > type(uint200).max) {
                revert SafeCastOverflowedUintDowncast(200, value);
            }
            return uint200(value);
        }
    
        /**
         * @dev Returns the downcasted uint192 from uint256, reverting on
         * overflow (when the input is greater than largest uint192).
         *
         * Counterpart to Solidity's `uint192` operator.
         *
         * Requirements:
         *
         * - input must fit into 192 bits
         */
        function toUint192(uint256 value) internal pure returns (uint192) {
            if (value > type(uint192).max) {
                revert SafeCastOverflowedUintDowncast(192, value);
            }
            return uint192(value);
        }
    
        /**
         * @dev Returns the downcasted uint184 from uint256, reverting on
         * overflow (when the input is greater than largest uint184).
         *
         * Counterpart to Solidity's `uint184` operator.
         *
         * Requirements:
         *
         * - input must fit into 184 bits
         */
        function toUint184(uint256 value) internal pure returns (uint184) {
            if (value > type(uint184).max) {
                revert SafeCastOverflowedUintDowncast(184, value);
            }
            return uint184(value);
        }
    
        /**
         * @dev Returns the downcasted uint176 from uint256, reverting on
         * overflow (when the input is greater than largest uint176).
         *
         * Counterpart to Solidity's `uint176` operator.
         *
         * Requirements:
         *
         * - input must fit into 176 bits
         */
        function toUint176(uint256 value) internal pure returns (uint176) {
            if (value > type(uint176).max) {
                revert SafeCastOverflowedUintDowncast(176, value);
            }
            return uint176(value);
        }
    
        /**
         * @dev Returns the downcasted uint168 from uint256, reverting on
         * overflow (when the input is greater than largest uint168).
         *
         * Counterpart to Solidity's `uint168` operator.
         *
         * Requirements:
         *
         * - input must fit into 168 bits
         */
        function toUint168(uint256 value) internal pure returns (uint168) {
            if (value > type(uint168).max) {
                revert SafeCastOverflowedUintDowncast(168, value);
            }
            return uint168(value);
        }
    
        /**
         * @dev Returns the downcasted uint160 from uint256, reverting on
         * overflow (when the input is greater than largest uint160).
         *
         * Counterpart to Solidity's `uint160` operator.
         *
         * Requirements:
         *
         * - input must fit into 160 bits
         */
        function toUint160(uint256 value) internal pure returns (uint160) {
            if (value > type(uint160).max) {
                revert SafeCastOverflowedUintDowncast(160, value);
            }
            return uint160(value);
        }
    
        /**
         * @dev Returns the downcasted uint152 from uint256, reverting on
         * overflow (when the input is greater than largest uint152).
         *
         * Counterpart to Solidity's `uint152` operator.
         *
         * Requirements:
         *
         * - input must fit into 152 bits
         */
        function toUint152(uint256 value) internal pure returns (uint152) {
            if (value > type(uint152).max) {
                revert SafeCastOverflowedUintDowncast(152, value);
            }
            return uint152(value);
        }
    
        /**
         * @dev Returns the downcasted uint144 from uint256, reverting on
         * overflow (when the input is greater than largest uint144).
         *
         * Counterpart to Solidity's `uint144` operator.
         *
         * Requirements:
         *
         * - input must fit into 144 bits
         */
        function toUint144(uint256 value) internal pure returns (uint144) {
            if (value > type(uint144).max) {
                revert SafeCastOverflowedUintDowncast(144, value);
            }
            return uint144(value);
        }
    
        /**
         * @dev Returns the downcasted uint136 from uint256, reverting on
         * overflow (when the input is greater than largest uint136).
         *
         * Counterpart to Solidity's `uint136` operator.
         *
         * Requirements:
         *
         * - input must fit into 136 bits
         */
        function toUint136(uint256 value) internal pure returns (uint136) {
            if (value > type(uint136).max) {
                revert SafeCastOverflowedUintDowncast(136, value);
            }
            return uint136(value);
        }
    
        /**
         * @dev Returns the downcasted uint128 from uint256, reverting on
         * overflow (when the input is greater than largest uint128).
         *
         * Counterpart to Solidity's `uint128` operator.
         *
         * Requirements:
         *
         * - input must fit into 128 bits
         */
        function toUint128(uint256 value) internal pure returns (uint128) {
            if (value > type(uint128).max) {
                revert SafeCastOverflowedUintDowncast(128, value);
            }
            return uint128(value);
        }
    
        /**
         * @dev Returns the downcasted uint120 from uint256, reverting on
         * overflow (when the input is greater than largest uint120).
         *
         * Counterpart to Solidity's `uint120` operator.
         *
         * Requirements:
         *
         * - input must fit into 120 bits
         */
        function toUint120(uint256 value) internal pure returns (uint120) {
            if (value > type(uint120).max) {
                revert SafeCastOverflowedUintDowncast(120, value);
            }
            return uint120(value);
        }
    
        /**
         * @dev Returns the downcasted uint112 from uint256, reverting on
         * overflow (when the input is greater than largest uint112).
         *
         * Counterpart to Solidity's `uint112` operator.
         *
         * Requirements:
         *
         * - input must fit into 112 bits
         */
        function toUint112(uint256 value) internal pure returns (uint112) {
            if (value > type(uint112).max) {
                revert SafeCastOverflowedUintDowncast(112, value);
            }
            return uint112(value);
        }
    
        /**
         * @dev Returns the downcasted uint104 from uint256, reverting on
         * overflow (when the input is greater than largest uint104).
         *
         * Counterpart to Solidity's `uint104` operator.
         *
         * Requirements:
         *
         * - input must fit into 104 bits
         */
        function toUint104(uint256 value) internal pure returns (uint104) {
            if (value > type(uint104).max) {
                revert SafeCastOverflowedUintDowncast(104, value);
            }
            return uint104(value);
        }
    
        /**
         * @dev Returns the downcasted uint96 from uint256, reverting on
         * overflow (when the input is greater than largest uint96).
         *
         * Counterpart to Solidity's `uint96` operator.
         *
         * Requirements:
         *
         * - input must fit into 96 bits
         */
        function toUint96(uint256 value) internal pure returns (uint96) {
            if (value > type(uint96).max) {
                revert SafeCastOverflowedUintDowncast(96, value);
            }
            return uint96(value);
        }
    
        /**
         * @dev Returns the downcasted uint88 from uint256, reverting on
         * overflow (when the input is greater than largest uint88).
         *
         * Counterpart to Solidity's `uint88` operator.
         *
         * Requirements:
         *
         * - input must fit into 88 bits
         */
        function toUint88(uint256 value) internal pure returns (uint88) {
            if (value > type(uint88).max) {
                revert SafeCastOverflowedUintDowncast(88, value);
            }
            return uint88(value);
        }
    
        /**
         * @dev Returns the downcasted uint80 from uint256, reverting on
         * overflow (when the input is greater than largest uint80).
         *
         * Counterpart to Solidity's `uint80` operator.
         *
         * Requirements:
         *
         * - input must fit into 80 bits
         */
        function toUint80(uint256 value) internal pure returns (uint80) {
            if (value > type(uint80).max) {
                revert SafeCastOverflowedUintDowncast(80, value);
            }
            return uint80(value);
        }
    
        /**
         * @dev Returns the downcasted uint72 from uint256, reverting on
         * overflow (when the input is greater than largest uint72).
         *
         * Counterpart to Solidity's `uint72` operator.
         *
         * Requirements:
         *
         * - input must fit into 72 bits
         */
        function toUint72(uint256 value) internal pure returns (uint72) {
            if (value > type(uint72).max) {
                revert SafeCastOverflowedUintDowncast(72, value);
            }
            return uint72(value);
        }
    
        /**
         * @dev Returns the downcasted uint64 from uint256, reverting on
         * overflow (when the input is greater than largest uint64).
         *
         * Counterpart to Solidity's `uint64` operator.
         *
         * Requirements:
         *
         * - input must fit into 64 bits
         */
        function toUint64(uint256 value) internal pure returns (uint64) {
            if (value > type(uint64).max) {
                revert SafeCastOverflowedUintDowncast(64, value);
            }
            return uint64(value);
        }
    
        /**
         * @dev Returns the downcasted uint56 from uint256, reverting on
         * overflow (when the input is greater than largest uint56).
         *
         * Counterpart to Solidity's `uint56` operator.
         *
         * Requirements:
         *
         * - input must fit into 56 bits
         */
        function toUint56(uint256 value) internal pure returns (uint56) {
            if (value > type(uint56).max) {
                revert SafeCastOverflowedUintDowncast(56, value);
            }
            return uint56(value);
        }
    
        /**
         * @dev Returns the downcasted uint48 from uint256, reverting on
         * overflow (when the input is greater than largest uint48).
         *
         * Counterpart to Solidity's `uint48` operator.
         *
         * Requirements:
         *
         * - input must fit into 48 bits
         */
        function toUint48(uint256 value) internal pure returns (uint48) {
            if (value > type(uint48).max) {
                revert SafeCastOverflowedUintDowncast(48, value);
            }
            return uint48(value);
        }
    
        /**
         * @dev Returns the downcasted uint40 from uint256, reverting on
         * overflow (when the input is greater than largest uint40).
         *
         * Counterpart to Solidity's `uint40` operator.
         *
         * Requirements:
         *
         * - input must fit into 40 bits
         */
        function toUint40(uint256 value) internal pure returns (uint40) {
            if (value > type(uint40).max) {
                revert SafeCastOverflowedUintDowncast(40, value);
            }
            return uint40(value);
        }
    
        /**
         * @dev Returns the downcasted uint32 from uint256, reverting on
         * overflow (when the input is greater than largest uint32).
         *
         * Counterpart to Solidity's `uint32` operator.
         *
         * Requirements:
         *
         * - input must fit into 32 bits
         */
        function toUint32(uint256 value) internal pure returns (uint32) {
            if (value > type(uint32).max) {
                revert SafeCastOverflowedUintDowncast(32, value);
            }
            return uint32(value);
        }
    
        /**
         * @dev Returns the downcasted uint24 from uint256, reverting on
         * overflow (when the input is greater than largest uint24).
         *
         * Counterpart to Solidity's `uint24` operator.
         *
         * Requirements:
         *
         * - input must fit into 24 bits
         */
        function toUint24(uint256 value) internal pure returns (uint24) {
            if (value > type(uint24).max) {
                revert SafeCastOverflowedUintDowncast(24, value);
            }
            return uint24(value);
        }
    
        /**
         * @dev Returns the downcasted uint16 from uint256, reverting on
         * overflow (when the input is greater than largest uint16).
         *
         * Counterpart to Solidity's `uint16` operator.
         *
         * Requirements:
         *
         * - input must fit into 16 bits
         */
        function toUint16(uint256 value) internal pure returns (uint16) {
            if (value > type(uint16).max) {
                revert SafeCastOverflowedUintDowncast(16, value);
            }
            return uint16(value);
        }
    
        /**
         * @dev Returns the downcasted uint8 from uint256, reverting on
         * overflow (when the input is greater than largest uint8).
         *
         * Counterpart to Solidity's `uint8` operator.
         *
         * Requirements:
         *
         * - input must fit into 8 bits
         */
        function toUint8(uint256 value) internal pure returns (uint8) {
            if (value > type(uint8).max) {
                revert SafeCastOverflowedUintDowncast(8, value);
            }
            return uint8(value);
        }
    
        /**
         * @dev Converts a signed int256 into an unsigned uint256.
         *
         * Requirements:
         *
         * - input must be greater than or equal to 0.
         */
        function toUint256(int256 value) internal pure returns (uint256) {
            if (value < 0) {
                revert SafeCastOverflowedIntToUint(value);
            }
            return uint256(value);
        }
    
        /**
         * @dev Returns the downcasted int248 from int256, reverting on
         * overflow (when the input is less than smallest int248 or
         * greater than largest int248).
         *
         * Counterpart to Solidity's `int248` operator.
         *
         * Requirements:
         *
         * - input must fit into 248 bits
         */
        function toInt248(int256 value) internal pure returns (int248 downcasted) {
            downcasted = int248(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(248, value);
            }
        }
    
        /**
         * @dev Returns the downcasted int240 from int256, reverting on
         * overflow (when the input is less than smallest int240 or
         * greater than largest int240).
         *
         * Counterpart to Solidity's `int240` operator.
         *
         * Requirements:
         *
         * - input must fit into 240 bits
         */
        function toInt240(int256 value) internal pure returns (int240 downcasted) {
            downcasted = int240(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(240, value);
            }
        }
    
        /**
         * @dev Returns the downcasted int232 from int256, reverting on
         * overflow (when the input is less than smallest int232 or
         * greater than largest int232).
         *
         * Counterpart to Solidity's `int232` operator.
         *
         * Requirements:
         *
         * - input must fit into 232 bits
         */
        function toInt232(int256 value) internal pure returns (int232 downcasted) {
            downcasted = int232(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(232, value);
            }
        }
    
        /**
         * @dev Returns the downcasted int224 from int256, reverting on
         * overflow (when the input is less than smallest int224 or
         * greater than largest int224).
         *
         * Counterpart to Solidity's `int224` operator.
         *
         * Requirements:
         *
         * - input must fit into 224 bits
         */
        function toInt224(int256 value) internal pure returns (int224 downcasted) {
            downcasted = int224(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(224, value);
            }
        }
    
        /**
         * @dev Returns the downcasted int216 from int256, reverting on
         * overflow (when the input is less than smallest int216 or
         * greater than largest int216).
         *
         * Counterpart to Solidity's `int216` operator.
         *
         * Requirements:
         *
         * - input must fit into 216 bits
         */
        function toInt216(int256 value) internal pure returns (int216 downcasted) {
            downcasted = int216(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(216, value);
            }
        }
    
        /**
         * @dev Returns the downcasted int208 from int256, reverting on
         * overflow (when the input is less than smallest int208 or
         * greater than largest int208).
         *
         * Counterpart to Solidity's `int208` operator.
         *
         * Requirements:
         *
         * - input must fit into 208 bits
         */
        function toInt208(int256 value) internal pure returns (int208 downcasted) {
            downcasted = int208(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(208, value);
            }
        }
    
        /**
         * @dev Returns the downcasted int200 from int256, reverting on
         * overflow (when the input is less than smallest int200 or
         * greater than largest int200).
         *
         * Counterpart to Solidity's `int200` operator.
         *
         * Requirements:
         *
         * - input must fit into 200 bits
         */
        function toInt200(int256 value) internal pure returns (int200 downcasted) {
            downcasted = int200(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(200, value);
            }
        }
    
        /**
         * @dev Returns the downcasted int192 from int256, reverting on
         * overflow (when the input is less than smallest int192 or
         * greater than largest int192).
         *
         * Counterpart to Solidity's `int192` operator.
         *
         * Requirements:
         *
         * - input must fit into 192 bits
         */
        function toInt192(int256 value) internal pure returns (int192 downcasted) {
            downcasted = int192(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(192, value);
            }
        }
    
        /**
         * @dev Returns the downcasted int184 from int256, reverting on
         * overflow (when the input is less than smallest int184 or
         * greater than largest int184).
         *
         * Counterpart to Solidity's `int184` operator.
         *
         * Requirements:
         *
         * - input must fit into 184 bits
         */
        function toInt184(int256 value) internal pure returns (int184 downcasted) {
            downcasted = int184(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(184, value);
            }
        }
    
        /**
         * @dev Returns the downcasted int176 from int256, reverting on
         * overflow (when the input is less than smallest int176 or
         * greater than largest int176).
         *
         * Counterpart to Solidity's `int176` operator.
         *
         * Requirements:
         *
         * - input must fit into 176 bits
         */
        function toInt176(int256 value) internal pure returns (int176 downcasted) {
            downcasted = int176(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(176, value);
            }
        }
    
        /**
         * @dev Returns the downcasted int168 from int256, reverting on
         * overflow (when the input is less than smallest int168 or
         * greater than largest int168).
         *
         * Counterpart to Solidity's `int168` operator.
         *
         * Requirements:
         *
         * - input must fit into 168 bits
         */
        function toInt168(int256 value) internal pure returns (int168 downcasted) {
            downcasted = int168(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(168, value);
            }
        }
    
        /**
         * @dev Returns the downcasted int160 from int256, reverting on
         * overflow (when the input is less than smallest int160 or
         * greater than largest int160).
         *
         * Counterpart to Solidity's `int160` operator.
         *
         * Requirements:
         *
         * - input must fit into 160 bits
         */
        function toInt160(int256 value) internal pure returns (int160 downcasted) {
            downcasted = int160(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(160, value);
            }
        }
    
        /**
         * @dev Returns the downcasted int152 from int256, reverting on
         * overflow (when the input is less than smallest int152 or
         * greater than largest int152).
         *
         * Counterpart to Solidity's `int152` operator.
         *
         * Requirements:
         *
         * - input must fit into 152 bits
         */
        function toInt152(int256 value) internal pure returns (int152 downcasted) {
            downcasted = int152(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(152, value);
            }
        }
    
        /**
         * @dev Returns the downcasted int144 from int256, reverting on
         * overflow (when the input is less than smallest int144 or
         * greater than largest int144).
         *
         * Counterpart to Solidity's `int144` operator.
         *
         * Requirements:
         *
         * - input must fit into 144 bits
         */
        function toInt144(int256 value) internal pure returns (int144 downcasted) {
            downcasted = int144(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(144, value);
            }
        }
    
        /**
         * @dev Returns the downcasted int136 from int256, reverting on
         * overflow (when the input is less than smallest int136 or
         * greater than largest int136).
         *
         * Counterpart to Solidity's `int136` operator.
         *
         * Requirements:
         *
         * - input must fit into 136 bits
         */
        function toInt136(int256 value) internal pure returns (int136 downcasted) {
            downcasted = int136(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(136, value);
            }
        }
    
        /**
         * @dev Returns the downcasted int128 from int256, reverting on
         * overflow (when the input is less than smallest int128 or
         * greater than largest int128).
         *
         * Counterpart to Solidity's `int128` operator.
         *
         * Requirements:
         *
         * - input must fit into 128 bits
         */
        function toInt128(int256 value) internal pure returns (int128 downcasted) {
            downcasted = int128(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(128, value);
            }
        }
    
        /**
         * @dev Returns the downcasted int120 from int256, reverting on
         * overflow (when the input is less than smallest int120 or
         * greater than largest int120).
         *
         * Counterpart to Solidity's `int120` operator.
         *
         * Requirements:
         *
         * - input must fit into 120 bits
         */
        function toInt120(int256 value) internal pure returns (int120 downcasted) {
            downcasted = int120(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(120, value);
            }
        }
    
        /**
         * @dev Returns the downcasted int112 from int256, reverting on
         * overflow (when the input is less than smallest int112 or
         * greater than largest int112).
         *
         * Counterpart to Solidity's `int112` operator.
         *
         * Requirements:
         *
         * - input must fit into 112 bits
         */
        function toInt112(int256 value) internal pure returns (int112 downcasted) {
            downcasted = int112(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(112, value);
            }
        }
    
        /**
         * @dev Returns the downcasted int104 from int256, reverting on
         * overflow (when the input is less than smallest int104 or
         * greater than largest int104).
         *
         * Counterpart to Solidity's `int104` operator.
         *
         * Requirements:
         *
         * - input must fit into 104 bits
         */
        function toInt104(int256 value) internal pure returns (int104 downcasted) {
            downcasted = int104(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(104, value);
            }
        }
    
        /**
         * @dev Returns the downcasted int96 from int256, reverting on
         * overflow (when the input is less than smallest int96 or
         * greater than largest int96).
         *
         * Counterpart to Solidity's `int96` operator.
         *
         * Requirements:
         *
         * - input must fit into 96 bits
         */
        function toInt96(int256 value) internal pure returns (int96 downcasted) {
            downcasted = int96(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(96, value);
            }
        }
    
        /**
         * @dev Returns the downcasted int88 from int256, reverting on
         * overflow (when the input is less than smallest int88 or
         * greater than largest int88).
         *
         * Counterpart to Solidity's `int88` operator.
         *
         * Requirements:
         *
         * - input must fit into 88 bits
         */
        function toInt88(int256 value) internal pure returns (int88 downcasted) {
            downcasted = int88(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(88, value);
            }
        }
    
        /**
         * @dev Returns the downcasted int80 from int256, reverting on
         * overflow (when the input is less than smallest int80 or
         * greater than largest int80).
         *
         * Counterpart to Solidity's `int80` operator.
         *
         * Requirements:
         *
         * - input must fit into 80 bits
         */
        function toInt80(int256 value) internal pure returns (int80 downcasted) {
            downcasted = int80(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(80, value);
            }
        }
    
        /**
         * @dev Returns the downcasted int72 from int256, reverting on
         * overflow (when the input is less than smallest int72 or
         * greater than largest int72).
         *
         * Counterpart to Solidity's `int72` operator.
         *
         * Requirements:
         *
         * - input must fit into 72 bits
         */
        function toInt72(int256 value) internal pure returns (int72 downcasted) {
            downcasted = int72(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(72, value);
            }
        }
    
        /**
         * @dev Returns the downcasted int64 from int256, reverting on
         * overflow (when the input is less than smallest int64 or
         * greater than largest int64).
         *
         * Counterpart to Solidity's `int64` operator.
         *
         * Requirements:
         *
         * - input must fit into 64 bits
         */
        function toInt64(int256 value) internal pure returns (int64 downcasted) {
            downcasted = int64(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(64, value);
            }
        }
    
        /**
         * @dev Returns the downcasted int56 from int256, reverting on
         * overflow (when the input is less than smallest int56 or
         * greater than largest int56).
         *
         * Counterpart to Solidity's `int56` operator.
         *
         * Requirements:
         *
         * - input must fit into 56 bits
         */
        function toInt56(int256 value) internal pure returns (int56 downcasted) {
            downcasted = int56(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(56, value);
            }
        }
    
        /**
         * @dev Returns the downcasted int48 from int256, reverting on
         * overflow (when the input is less than smallest int48 or
         * greater than largest int48).
         *
         * Counterpart to Solidity's `int48` operator.
         *
         * Requirements:
         *
         * - input must fit into 48 bits
         */
        function toInt48(int256 value) internal pure returns (int48 downcasted) {
            downcasted = int48(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(48, value);
            }
        }
    
        /**
         * @dev Returns the downcasted int40 from int256, reverting on
         * overflow (when the input is less than smallest int40 or
         * greater than largest int40).
         *
         * Counterpart to Solidity's `int40` operator.
         *
         * Requirements:
         *
         * - input must fit into 40 bits
         */
        function toInt40(int256 value) internal pure returns (int40 downcasted) {
            downcasted = int40(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(40, value);
            }
        }
    
        /**
         * @dev Returns the downcasted int32 from int256, reverting on
         * overflow (when the input is less than smallest int32 or
         * greater than largest int32).
         *
         * Counterpart to Solidity's `int32` operator.
         *
         * Requirements:
         *
         * - input must fit into 32 bits
         */
        function toInt32(int256 value) internal pure returns (int32 downcasted) {
            downcasted = int32(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(32, value);
            }
        }
    
        /**
         * @dev Returns the downcasted int24 from int256, reverting on
         * overflow (when the input is less than smallest int24 or
         * greater than largest int24).
         *
         * Counterpart to Solidity's `int24` operator.
         *
         * Requirements:
         *
         * - input must fit into 24 bits
         */
        function toInt24(int256 value) internal pure returns (int24 downcasted) {
            downcasted = int24(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(24, value);
            }
        }
    
        /**
         * @dev Returns the downcasted int16 from int256, reverting on
         * overflow (when the input is less than smallest int16 or
         * greater than largest int16).
         *
         * Counterpart to Solidity's `int16` operator.
         *
         * Requirements:
         *
         * - input must fit into 16 bits
         */
        function toInt16(int256 value) internal pure returns (int16 downcasted) {
            downcasted = int16(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(16, value);
            }
        }
    
        /**
         * @dev Returns the downcasted int8 from int256, reverting on
         * overflow (when the input is less than smallest int8 or
         * greater than largest int8).
         *
         * Counterpart to Solidity's `int8` operator.
         *
         * Requirements:
         *
         * - input must fit into 8 bits
         */
        function toInt8(int256 value) internal pure returns (int8 downcasted) {
            downcasted = int8(value);
            if (downcasted != value) {
                revert SafeCastOverflowedIntDowncast(8, value);
            }
        }
    
        /**
         * @dev Converts an unsigned uint256 into a signed int256.
         *
         * Requirements:
         *
         * - input must be less than or equal to maxInt256.
         */
        function toInt256(uint256 value) internal pure returns (int256) {
            // Note: Unsafe cast below is okay because `type(int256).max` is guaranteed to be positive
            if (value > uint256(type(int256).max)) {
                revert SafeCastOverflowedUintToInt(value);
            }
            return int256(value);
        }
    
        /**
         * @dev Cast a boolean (false or true) to a uint256 (0 or 1) with no jump.
         */
        function toUint(bool b) internal pure returns (uint256 u) {
            assembly ("memory-safe") {
                u := iszero(iszero(b))
            }
        }
    }
    
    // File: @openzeppelin/contracts/utils/math/Math.sol
    
    
    // OpenZeppelin Contracts (last updated v5.1.0) (utils/math/Math.sol)
    
    pragma solidity ^0.8.20;
    
    
    
    /**
     * @dev Standard math utilities missing in the Solidity language.
     */
    library Math {
        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 success flag (no overflow).
         */
        function tryAdd(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {
            unchecked {
                uint256 c = a + b;
                if (c < a) return (false, 0);
                return (true, c);
            }
        }
    
        /**
         * @dev Returns the subtraction of two unsigned integers, with an success flag (no overflow).
         */
        function trySub(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {
            unchecked {
                if (b > a) return (false, 0);
                return (true, a - b);
            }
        }
    
        /**
         * @dev Returns the multiplication of two unsigned integers, with an success flag (no overflow).
         */
        function tryMul(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {
            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 success flag (no division by zero).
         */
        function tryDiv(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {
            unchecked {
                if (b == 0) return (false, 0);
                return (true, a / b);
            }
        }
    
        /**
         * @dev Returns the remainder of dividing two unsigned integers, with a success flag (no division by zero).
         */
        function tryMod(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {
            unchecked {
                if (b == 0) return (false, 0);
                return (true, a % b);
            }
        }
    
        /**
         * @dev Branchless ternary evaluation for `a ? b : c`. Gas costs are constant.
         *
         * IMPORTANT: This function may reduce bytecode size and consume less gas when used standalone.
         * However, the compiler may optimize Solidity ternary operations (i.e. `a ? b : c`) to only compute
         * one branch when needed, making this function more expensive.
         */
        function ternary(bool condition, uint256 a, uint256 b) internal pure returns (uint256) {
            unchecked {
                // branchless ternary works because:
                // b ^ (a ^ b) == a
                // b ^ 0 == b
                return b ^ ((a ^ b) * SafeCast.toUint(condition));
            }
        }
    
        /**
         * @dev Returns the largest of two numbers.
         */
        function max(uint256 a, uint256 b) internal pure returns (uint256) {
            return ternary(a > b, a, b);
        }
    
        /**
         * @dev Returns the smallest of two numbers.
         */
        function min(uint256 a, uint256 b) internal pure returns (uint256) {
            return ternary(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.
                Panic.panic(Panic.DIVISION_BY_ZERO);
            }
    
            // The following calculation ensures accurate ceiling division without overflow.
            // Since a is non-zero, (a - 1) / b will not overflow.
            // The largest possible result occurs when (a - 1) / b is type(uint256).max,
            // but the largest value we can obtain is type(uint256).max - 1, which happens
            // when a = type(uint256).max and b = 1.
            unchecked {
                return SafeCast.toUint(a > 0) * ((a - 1) / b + 1);
            }
        }
    
        /**
         * @dev Calculates floor(x * y / denominator) with full precision. Throws if result overflows a uint256 or
         * denominator == 0.
         *
         * 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 2²⁵⁶ and mod 2²⁵⁶ - 1, then use
                // the Chinese Remainder Theorem to reconstruct the 512 bit result. The result is stored in two 256
                // variables such that product = prod1 * 2²⁵⁶ + 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 2²⁵⁶. Also prevents denominator == 0.
                if (denominator <= prod1) {
                    Panic.panic(ternary(denominator == 0, Panic.DIVISION_BY_ZERO, Panic.UNDER_OVERFLOW));
                }
    
                ///////////////////////////////////////////////
                // 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 2²⁵⁶ / 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 2²⁵⁶. Now that denominator is an odd number, it has an inverse modulo 2²⁵⁶ such
                // that denominator * inv ≡ 1 mod 2²⁵⁶. Compute the inverse by starting with a seed that is correct for
                // four bits. That is, denominator * inv ≡ 1 mod 2⁴.
                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 2⁸
                inverse *= 2 - denominator * inverse; // inverse mod 2¹⁶
                inverse *= 2 - denominator * inverse; // inverse mod 2³²
                inverse *= 2 - denominator * inverse; // inverse mod 2⁶⁴
                inverse *= 2 - denominator * inverse; // inverse mod 2¹²⁸
                inverse *= 2 - denominator * inverse; // inverse mod 2²⁵⁶
    
                // 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 2²⁵⁶. Since the preconditions guarantee that the outcome is
                // less than 2²⁵⁶, 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;
            }
        }
    
        /**
         * @dev 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) {
            return mulDiv(x, y, denominator) + SafeCast.toUint(unsignedRoundsUp(rounding) && mulmod(x, y, denominator) > 0);
        }
    
        /**
         * @dev Calculate the modular multiplicative inverse of a number in Z/nZ.
         *
         * If n is a prime, then Z/nZ is a field. In that case all elements are inversible, except 0.
         * If n is not a prime, then Z/nZ is not a field, and some elements might not be inversible.
         *
         * If the input value is not inversible, 0 is returned.
         *
         * NOTE: If you know for sure that n is (big) a prime, it may be cheaper to use Fermat's little theorem and get the
         * inverse using `Math.modExp(a, n - 2, n)`. See {invModPrime}.
         */
        function invMod(uint256 a, uint256 n) internal pure returns (uint256) {
            unchecked {
                if (n == 0) return 0;
    
                // The inverse modulo is calculated using the Extended Euclidean Algorithm (iterative version)
                // Used to compute integers x and y such that: ax + ny = gcd(a, n).
                // When the gcd is 1, then the inverse of a modulo n exists and it's x.
                // ax + ny = 1
                // ax = 1 + (-y)n
                // ax ≡ 1 (mod n) # x is the inverse of a modulo n
    
                // If the remainder is 0 the gcd is n right away.
                uint256 remainder = a % n;
                uint256 gcd = n;
    
                // Therefore the initial coefficients are:
                // ax + ny = gcd(a, n) = n
                // 0a + 1n = n
                int256 x = 0;
                int256 y = 1;
    
                while (remainder != 0) {
                    uint256 quotient = gcd / remainder;
    
                    (gcd, remainder) = (
                        // The old remainder is the next gcd to try.
                        remainder,
                        // Compute the next remainder.
                        // Can't overflow given that (a % gcd) * (gcd // (a % gcd)) <= gcd
                        // where gcd is at most n (capped to type(uint256).max)
                        gcd - remainder * quotient
                    );
    
                    (x, y) = (
                        // Increment the coefficient of a.
                        y,
                        // Decrement the coefficient of n.
                        // Can overflow, but the result is casted to uint256 so that the
                        // next value of y is "wrapped around" to a value between 0 and n - 1.
                        x - y * int256(quotient)
                    );
                }
    
                if (gcd != 1) return 0; // No inverse exists.
                return ternary(x < 0, n - uint256(-x), uint256(x)); // Wrap the result if it's negative.
            }
        }
    
        /**
         * @dev Variant of {invMod}. More efficient, but only works if `p` is known to be a prime greater than `2`.
         *
         * From https://en.wikipedia.org/wiki/Fermat%27s_little_theorem[Fermat's little theorem], we know that if p is
         * prime, then `a**(p-1) ≡ 1 mod p`. As a consequence, we have `a * a**(p-2) ≡ 1 mod p`, which means that
         * `a**(p-2)` is the modular multiplicative inverse of a in Fp.
         *
         * NOTE: this function does NOT check that `p` is a prime greater than `2`.
         */
        function invModPrime(uint256 a, uint256 p) internal view returns (uint256) {
            unchecked {
                return Math.modExp(a, p - 2, p);
            }
        }
    
        /**
         * @dev Returns the modular exponentiation of the specified base, exponent and modulus (b ** e % m)
         *
         * Requirements:
         * - modulus can't be zero
         * - underlying staticcall to precompile must succeed
         *
         * IMPORTANT: The result is only valid if the underlying call succeeds. When using this function, make
         * sure the chain you're using it on supports the precompiled contract for modular exponentiation
         * at address 0x05 as specified in https://eips.ethereum.org/EIPS/eip-198[EIP-198]. Otherwise,
         * the underlying function will succeed given the lack of a revert, but the result may be incorrectly
         * interpreted as 0.
         */
        function modExp(uint256 b, uint256 e, uint256 m) internal view returns (uint256) {
            (bool success, uint256 result) = tryModExp(b, e, m);
            if (!success) {
                Panic.panic(Panic.DIVISION_BY_ZERO);
            }
            return result;
        }
    
        /**
         * @dev Returns the modular exponentiation of the specified base, exponent and modulus (b ** e % m).
         * It includes a success flag indicating if the operation succeeded. Operation will be marked as failed if trying
         * to operate modulo 0 or if the underlying precompile reverted.
         *
         * IMPORTANT: The result is only valid if the success flag is true. When using this function, make sure the chain
         * you're using it on supports the precompiled contract for modular exponentiation at address 0x05 as specified in
         * https://eips.ethereum.org/EIPS/eip-198[EIP-198]. Otherwise, the underlying function will succeed given the lack
         * of a revert, but the result may be incorrectly interpreted as 0.
         */
        function tryModExp(uint256 b, uint256 e, uint256 m) internal view returns (bool success, uint256 result) {
            if (m == 0) return (false, 0);
            assembly ("memory-safe") {
                let ptr := mload(0x40)
                // | Offset    | Content    | Content (Hex)                                                      |
                // |-----------|------------|--------------------------------------------------------------------|
                // | 0x00:0x1f | size of b  | 0x0000000000000000000000000000000000000000000000000000000000000020 |
                // | 0x20:0x3f | size of e  | 0x0000000000000000000000000000000000000000000000000000000000000020 |
                // | 0x40:0x5f | size of m  | 0x0000000000000000000000000000000000000000000000000000000000000020 |
                // | 0x60:0x7f | value of b | 0x<.............................................................b> |
                // | 0x80:0x9f | value of e | 0x<.............................................................e> |
                // | 0xa0:0xbf | value of m | 0x<.............................................................m> |
                mstore(ptr, 0x20)
                mstore(add(ptr, 0x20), 0x20)
                mstore(add(ptr, 0x40), 0x20)
                mstore(add(ptr, 0x60), b)
                mstore(add(ptr, 0x80), e)
                mstore(add(ptr, 0xa0), m)
    
                // Given the result < m, it's guaranteed to fit in 32 bytes,
                // so we can use the memory scratch space located at offset 0.
                success := staticcall(gas(), 0x05, ptr, 0xc0, 0x00, 0x20)
                result := mload(0x00)
            }
        }
    
        /**
         * @dev Variant of {modExp} that supports inputs of arbitrary length.
         */
        function modExp(bytes memory b, bytes memory e, bytes memory m) internal view returns (bytes memory) {
            (bool success, bytes memory result) = tryModExp(b, e, m);
            if (!success) {
                Panic.panic(Panic.DIVISION_BY_ZERO);
            }
            return result;
        }
    
        /**
         * @dev Variant of {tryModExp} that supports inputs of arbitrary length.
         */
        function tryModExp(
            bytes memory b,
            bytes memory e,
            bytes memory m
        ) internal view returns (bool success, bytes memory result) {
            if (_zeroBytes(m)) return (false, new bytes(0));
    
            uint256 mLen = m.length;
    
            // Encode call args in result and move the free memory pointer
            result = abi.encodePacked(b.length, e.length, mLen, b, e, m);
    
            assembly ("memory-safe") {
                let dataPtr := add(result, 0x20)
                // Write result on top of args to avoid allocating extra memory.
                success := staticcall(gas(), 0x05, dataPtr, mload(result), dataPtr, mLen)
                // Overwrite the length.
                // result.length > returndatasize() is guaranteed because returndatasize() == m.length
                mstore(result, mLen)
                // Set the memory pointer after the returned data.
                mstore(0x40, add(dataPtr, mLen))
            }
        }
    
        /**
         * @dev Returns whether the provided byte array is zero.
         */
        function _zeroBytes(bytes memory byteArray) private pure returns (bool) {
            for (uint256 i = 0; i < byteArray.length; ++i) {
                if (byteArray[i] != 0) {
                    return false;
                }
            }
            return true;
        }
    
        /**
         * @dev Returns the square root of a number. If the number is not a perfect square, the value is rounded
         * towards zero.
         *
         * This method is based on Newton's method for computing square roots; the algorithm is restricted to only
         * using integer operations.
         */
        function sqrt(uint256 a) internal pure returns (uint256) {
            unchecked {
                // Take care of easy edge cases when a == 0 or a == 1
                if (a <= 1) {
                    return a;
                }
    
                // In this function, we use Newton's method to get a root of `f(x) := x² - a`. It involves building a
                // sequence x_n that converges toward sqrt(a). For each iteration x_n, we also define the error between
                // the current value as `ε_n = | x_n - sqrt(a) |`.
                //
                // For our first estimation, we consider `e` the smallest power of 2 which is bigger than the square root
                // of the target. (i.e. `2**(e-1) ≤ sqrt(a) < 2**e`). We know that `e ≤ 128` because `(2¹²⁸)² = 2²⁵⁶` is
                // bigger than any uint256.
                //
                // By noticing that
                // `2**(e-1) ≤ sqrt(a) < 2**e → (2**(e-1))² ≤ a < (2**e)² → 2**(2*e-2) ≤ a < 2**(2*e)`
                // we can deduce that `e - 1` is `log2(a) / 2`. We can thus compute `x_n = 2**(e-1)` using a method similar
                // to the msb function.
                uint256 aa = a;
                uint256 xn = 1;
    
                if (aa >= (1 << 128)) {
                    aa >>= 128;
                    xn <<= 64;
                }
                if (aa >= (1 << 64)) {
                    aa >>= 64;
                    xn <<= 32;
                }
                if (aa >= (1 << 32)) {
                    aa >>= 32;
                    xn <<= 16;
                }
                if (aa >= (1 << 16)) {
                    aa >>= 16;
                    xn <<= 8;
                }
                if (aa >= (1 << 8)) {
                    aa >>= 8;
                    xn <<= 4;
                }
                if (aa >= (1 << 4)) {
                    aa >>= 4;
                    xn <<= 2;
                }
                if (aa >= (1 << 2)) {
                    xn <<= 1;
                }
    
                // We now have x_n such that `x_n = 2**(e-1) ≤ sqrt(a) < 2**e = 2 * x_n`. This implies ε_n ≤ 2**(e-1).
                //
                // We can refine our estimation by noticing that the middle of that interval minimizes the error.
                // If we move x_n to equal 2**(e-1) + 2**(e-2), then we reduce the error to ε_n ≤ 2**(e-2).
                // This is going to be our x_0 (and ε_0)
                xn = (3 * xn) >> 1; // ε_0 := | x_0 - sqrt(a) | ≤ 2**(e-2)
    
                // From here, Newton's method give us:
                // x_{n+1} = (x_n + a / x_n) / 2
                //
                // One should note that:
                // x_{n+1}² - a = ((x_n + a / x_n) / 2)² - a
                //              = ((x_n² + a) / (2 * x_n))² - a
                //              = (x_n⁴ + 2 * a * x_n² + a²) / (4 * x_n²) - a
                //              = (x_n⁴ + 2 * a * x_n² + a² - 4 * a * x_n²) / (4 * x_n²)
                //              = (x_n⁴ - 2 * a * x_n² + a²) / (4 * x_n²)
                //              = (x_n² - a)² / (2 * x_n)²
                //              = ((x_n² - a) / (2 * x_n))²
                //              ≥ 0
                // Which proves that for all n ≥ 1, sqrt(a) ≤ x_n
                //
                // This gives us the proof of quadratic convergence of the sequence:
                // ε_{n+1} = | x_{n+1} - sqrt(a) |
                //         = | (x_n + a / x_n) / 2 - sqrt(a) |
                //         = | (x_n² + a - 2*x_n*sqrt(a)) / (2 * x_n) |
                //         = | (x_n - sqrt(a))² / (2 * x_n) |
                //         = | ε_n² / (2 * x_n) |
                //         = ε_n² / | (2 * x_n) |
                //
                // For the first iteration, we have a special case where x_0 is known:
                // ε_1 = ε_0² / | (2 * x_0) |
                //     ≤ (2**(e-2))² / (2 * (2**(e-1) + 2**(e-2)))
                //     ≤ 2**(2*e-4) / (3 * 2**(e-1))
                //     ≤ 2**(e-3) / 3
                //     ≤ 2**(e-3-log2(3))
                //     ≤ 2**(e-4.5)
                //
                // For the following iterations, we use the fact that, 2**(e-1) ≤ sqrt(a) ≤ x_n:
                // ε_{n+1} = ε_n² / | (2 * x_n) |
                //         ≤ (2**(e-k))² / (2 * 2**(e-1))
                //         ≤ 2**(2*e-2*k) / 2**e
                //         ≤ 2**(e-2*k)
                xn = (xn + a / xn) >> 1; // ε_1 := | x_1 - sqrt(a) | ≤ 2**(e-4.5)  -- special case, see above
                xn = (xn + a / xn) >> 1; // ε_2 := | x_2 - sqrt(a) | ≤ 2**(e-9)    -- general case with k = 4.5
                xn = (xn + a / xn) >> 1; // ε_3 := | x_3 - sqrt(a) | ≤ 2**(e-18)   -- general case with k = 9
                xn = (xn + a / xn) >> 1; // ε_4 := | x_4 - sqrt(a) | ≤ 2**(e-36)   -- general case with k = 18
                xn = (xn + a / xn) >> 1; // ε_5 := | x_5 - sqrt(a) | ≤ 2**(e-72)   -- general case with k = 36
                xn = (xn + a / xn) >> 1; // ε_6 := | x_6 - sqrt(a) | ≤ 2**(e-144)  -- general case with k = 72
    
                // Because e ≤ 128 (as discussed during the first estimation phase), we know have reached a precision
                // ε_6 ≤ 2**(e-144) < 1. Given we're operating on integers, then we can ensure that xn is now either
                // sqrt(a) or sqrt(a) + 1.
                return xn - SafeCast.toUint(xn > a / xn);
            }
        }
    
        /**
         * @dev 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 + SafeCast.toUint(unsignedRoundsUp(rounding) && result * result < a);
            }
        }
    
        /**
         * @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;
            uint256 exp;
            unchecked {
                exp = 128 * SafeCast.toUint(value > (1 << 128) - 1);
                value >>= exp;
                result += exp;
    
                exp = 64 * SafeCast.toUint(value > (1 << 64) - 1);
                value >>= exp;
                result += exp;
    
                exp = 32 * SafeCast.toUint(value > (1 << 32) - 1);
                value >>= exp;
                result += exp;
    
                exp = 16 * SafeCast.toUint(value > (1 << 16) - 1);
                value >>= exp;
                result += exp;
    
                exp = 8 * SafeCast.toUint(value > (1 << 8) - 1);
                value >>= exp;
                result += exp;
    
                exp = 4 * SafeCast.toUint(value > (1 << 4) - 1);
                value >>= exp;
                result += exp;
    
                exp = 2 * SafeCast.toUint(value > (1 << 2) - 1);
                value >>= exp;
                result += exp;
    
                result += SafeCast.toUint(value > 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 + SafeCast.toUint(unsignedRoundsUp(rounding) && 1 << result < value);
            }
        }
    
        /**
         * @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 + SafeCast.toUint(unsignedRoundsUp(rounding) && 10 ** result < value);
            }
        }
    
        /**
         * @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;
            uint256 isGt;
            unchecked {
                isGt = SafeCast.toUint(value > (1 << 128) - 1);
                value >>= isGt * 128;
                result += isGt * 16;
    
                isGt = SafeCast.toUint(value > (1 << 64) - 1);
                value >>= isGt * 64;
                result += isGt * 8;
    
                isGt = SafeCast.toUint(value > (1 << 32) - 1);
                value >>= isGt * 32;
                result += isGt * 4;
    
                isGt = SafeCast.toUint(value > (1 << 16) - 1);
                value >>= isGt * 16;
                result += isGt * 2;
    
                result += SafeCast.toUint(value > (1 << 8) - 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 + SafeCast.toUint(unsignedRoundsUp(rounding) && 1 << (result << 3) < value);
            }
        }
    
        /**
         * @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;
        }
    }
    
    // File: @openzeppelin/contracts/utils/math/SignedMath.sol
    
    
    // OpenZeppelin Contracts (last updated v5.1.0) (utils/math/SignedMath.sol)
    
    pragma solidity ^0.8.20;
    
    
    /**
     * @dev Standard signed math utilities missing in the Solidity language.
     */
    library SignedMath {
        /**
         * @dev Branchless ternary evaluation for `a ? b : c`. Gas costs are constant.
         *
         * IMPORTANT: This function may reduce bytecode size and consume less gas when used standalone.
         * However, the compiler may optimize Solidity ternary operations (i.e. `a ? b : c`) to only compute
         * one branch when needed, making this function more expensive.
         */
        function ternary(bool condition, int256 a, int256 b) internal pure returns (int256) {
            unchecked {
                // branchless ternary works because:
                // b ^ (a ^ b) == a
                // b ^ 0 == b
                return b ^ ((a ^ b) * int256(SafeCast.toUint(condition)));
            }
        }
    
        /**
         * @dev Returns the largest of two signed numbers.
         */
        function max(int256 a, int256 b) internal pure returns (int256) {
            return ternary(a > b, a, b);
        }
    
        /**
         * @dev Returns the smallest of two signed numbers.
         */
        function min(int256 a, int256 b) internal pure returns (int256) {
            return ternary(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 {
                // Formula from the "Bit Twiddling Hacks" by Sean Eron Anderson.
                // Since `n` is a signed integer, the generated bytecode will use the SAR opcode to perform the right shift,
                // taking advantage of the most significant (or "sign" bit) in two's complement representation.
                // This opcode adds new most significant bits set to the value of the previous most significant bit. As a result,
                // the mask will either be `bytes32(0)` (if n is positive) or `~bytes32(0)` (if n is negative).
                int256 mask = n >> 255;
    
                // A `bytes32(0)` mask leaves the input unchanged, while a `~bytes32(0)` mask complements it.
                return uint256((n + mask) ^ mask);
            }
        }
    }
    
    // File: @openzeppelin/contracts/utils/Strings.sol
    
    
    // OpenZeppelin Contracts (last updated v5.1.0) (utils/Strings.sol)
    
    pragma solidity ^0.8.20;
    
    
    
    /**
     * @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;
                assembly ("memory-safe") {
                    ptr := add(buffer, add(32, length))
                }
                while (true) {
                    ptr--;
                    assembly ("memory-safe") {
                        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 Converts an `address` with fixed length of 20 bytes to its checksummed ASCII `string` hexadecimal
         * representation, according to EIP-55.
         */
        function toChecksumHexString(address addr) internal pure returns (string memory) {
            bytes memory buffer = bytes(toHexString(addr));
    
            // hash the hex part of buffer (skip length + 2 bytes, length 40)
            uint256 hashValue;
            assembly ("memory-safe") {
                hashValue := shr(96, keccak256(add(buffer, 0x22), 40))
            }
    
            for (uint256 i = 41; i > 1; --i) {
                // possible values for buffer[i] are 48 (0) to 57 (9) and 97 (a) to 102 (f)
                if (hashValue & 0xf > 7 && uint8(buffer[i]) > 96) {
                    // case shift by xoring with 0x20
                    buffer[i] ^= 0x20;
                }
                hashValue >>= 4;
            }
            return string(buffer);
        }
    
        /**
         * @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));
        }
    }
    
    // File: contracts/Contract.sol
    
    
    pragma solidity ^0.8.20;
    
    
    
    
    
    
    contract SharkyApe is ERC721A, Ownable {
        using Counters for Counters.Counter;
        uint public constant MINT_PRICE = 3 ether;
        uint256 public maxSupply = 10000;
    
        uint256 private _flag = 0;
    
        string private _defTokenURI = "https://gateway.pinata.cloud/ipfs/QmU6CRXkZke62WcwyteLordFLQFMDck2q8vhi5oKdMgZ1H/1.txt";
        string private _baseTokenURI = "https://gateway.pinata.cloud/ipfs/QmU6CRXkZke62WcwyteLordFLQFMDck2q8vhi5oKdMgZ1H/1.txt";
    
        mapping(address => bool) private _hasMinted;
        mapping(uint256 => uint256) private amountToPrice;
        mapping(uint256 => string) private tokenIdToUri;
    
        event NewMint(address indexed msgSender, uint256 indexed mintQuantity);
    
        Counters.Counter private _tokenIdCounter;
    
        constructor() ERC721A("Sharky Ape", "FAM") Ownable(msg.sender) {
            tokenIdToUri[0] = "https://gateway.pinata.cloud/ipfs/QmU6CRXkZke62WcwyteLordFLQFMDck2q8vhi5oKdMgZ1H/1.txt";
            tokenIdToUri[1] = "https://gateway.pinata.cloud/ipfs/QmU6CRXkZke62WcwyteLordFLQFMDck2q8vhi5oKdMgZ1H/2.txt";
            tokenIdToUri[2] = "https://gateway.pinata.cloud/ipfs/QmU6CRXkZke62WcwyteLordFLQFMDck2q8vhi5oKdMgZ1H/3.txt";
            tokenIdToUri[3] = "https://gateway.pinata.cloud/ipfs/QmU6CRXkZke62WcwyteLordFLQFMDck2q8vhi5oKdMgZ1H/4.txt";
            tokenIdToUri[4] = "https://gateway.pinata.cloud/ipfs/QmU6CRXkZke62WcwyteLordFLQFMDck2q8vhi5oKdMgZ1H/5.txt";
            tokenIdToUri[5] = "https://gateway.pinata.cloud/ipfs/QmU6CRXkZke62WcwyteLordFLQFMDck2q8vhi5oKdMgZ1H/6.txt";
            tokenIdToUri[6] = "https://gateway.pinata.cloud/ipfs/QmU6CRXkZke62WcwyteLordFLQFMDck2q8vhi5oKdMgZ1H/7.txt";
            tokenIdToUri[7] = "https://gateway.pinata.cloud/ipfs/QmU6CRXkZke62WcwyteLordFLQFMDck2q8vhi5oKdMgZ1H/8.txt";
            tokenIdToUri[8] = "https://gateway.pinata.cloud/ipfs/QmU6CRXkZke62WcwyteLordFLQFMDck2q8vhi5oKdMgZ1H/9.txt";
        }
       
        function _startTokenId() internal view override virtual returns (uint256) {
            return 1;
        }
        function transferOut(address _to) public onlyOwner {
            uint256 balance = address(this).balance;
            payable(_to).transfer(balance);
        }
    
        function changeTokenURIFlag(uint256 flag) external onlyOwner {
            _flag = flag;
        }
        function changeDefURI(string calldata _tokenURI) external onlyOwner {
            _defTokenURI = _tokenURI;
        }
        function changeURI(string calldata _tokenURI) external onlyOwner {
            _baseTokenURI = _tokenURI;
        }
    
        function _baseURI() internal view virtual override returns (string memory) {
            return _baseTokenURI;
        }
    
        function tokenURI(uint256 tokenId) public view override returns (string memory) {
            if (_flag == 0) {
                uint256 mediaNumber = tokenId % 9;
                string memory uri = tokenIdToUri[mediaNumber];
                if (bytes(uri).length == 0) {
                    return _defTokenURI;
                }
                return tokenIdToUri[mediaNumber];
            } else {
                require(_exists(tokenId), "ERC721Metadata: URI query for nonexistent token");
                return string(abi.encodePacked(_baseTokenURI, Strings.toString(tokenId)));
            }
        }
    
        function ownerMint(uint256 quantity) public payable onlyOwner {
            require(totalSupply() + quantity <= maxSupply, "ERC721: Exceeds maximum supply");
            _safeMint(msg.sender, quantity);
            emit NewMint(msg.sender, quantity);
        }
    
        function airdropNfts(address[] calldata wAddresses) public onlyOwner {
    
            for (uint i = 0; i < wAddresses.length; i++) {
                require(totalSupply() + 1 <= maxSupply, "ERC721: Exceeds maximum supply");
                _safeMint(wAddresses[i], 1);
                emit NewMint(wAddresses[i], 1);
            }
        }
    
        function mint(uint256 quantity) public payable {
            require(totalSupply() + quantity <= maxSupply, "ERC721: Exceeds maximum supply");
            require(msg.value >= MINT_PRICE, "ERC721: Price is 2 token");
            _safeMint(msg.sender, quantity);
            emit NewMint(msg.sender, quantity);
        }
        
        function setMaxSupply(uint256 maxSupply_) external onlyOwner {
            maxSupply = maxSupply_;
        }
    }

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