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

pragma solidity ^0.8.4;

import './IERC721A.sol';

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

    // Token name
    string private _name;

    // Token symbol
    string private _symbol;

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

    /**
     * @dev Base URI for computing {tokenURI}. If set, the resulting URI for each
     * token will be the concatenation of the `baseURI` and the `tokenId`. Empty
     * by default, it can be overridden in child contracts.
     */
    function _baseURI() internal view virtual returns (string memory) {
        return '';
    }

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

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

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

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

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

    /**
     * @dev Initializes the ownership slot minted at `index` for efficiency purposes.
     */
    function _initializeOwnershipAt(uint256 index) internal virtual {
        if (_packedOwnerships[index] == uint256(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 == uint256(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 == uint256(0)) continue;
                    if (packed & _BITMASK_BURNED == uint256(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 == uint256(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]) == uint256(0)) --tokenId;
                result = packed & _BITMASK_BURNED == uint256(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(
        uint256 approvedAddressValue,
        uint256 ownerMasked,
        uint256 msgSenderMasked
    ) private pure returns (bool result) {
        assembly {
            result := or(eq(msgSenderMasked, ownerMasked), eq(msgSenderMasked, approvedAddressValue))
        }
    }

    /**
     * @dev Returns the storage slot and value for the approved address of `tokenId` casted to a uint256.
     */
    function _getApprovedSlotAndValue(uint256 tokenId)
        private
        view
        returns (uint256 approvedAddressSlot, uint256 approvedAddressValue)
    {
        TokenApprovalRef storage tokenApproval = _tokenApprovals[tokenId];
        // The following is equivalent to `approvedAddressValue = uint160(_tokenApprovals[tokenId].value)`.
        assembly {
            approvedAddressSlot := tokenApproval.slot
            approvedAddressValue := 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);
        uint256 fromMasked = uint160(from);

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

        (uint256 approvedAddressSlot, uint256 approvedAddressValue) = _getApprovedSlotAndValue(tokenId);

        // The nested ifs save around 20+ gas over a compound boolean condition.
        if (!_isSenderApprovedOrOwner(approvedAddressValue, fromMasked, uint160(_msgSenderERC721A())))
            if (!isApprovedForAll(from, _msgSenderERC721A())) _revert(TransferCallerNotOwnerNorApproved.selector);

        _beforeTokenTransfers(from, to, tokenId, 1);

        assembly {
            if approvedAddressValue {
                sstore(approvedAddressSlot, 0) // Equivalent to `delete _tokenApprovals[tokenId]`.
            }
        }

        // 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 == uint256(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] == uint256(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 the lower 160 bits, in case the upper bits somehow aren't clean.
        uint256 toMasked = uint160(to);
        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.
                fromMasked, // `from`.
                toMasked, // `to`.
                tokenId // `tokenId`.
            )
        }
        if (toMasked == uint256(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 Equivalent to `_batchTransferFrom(from, to, tokenIds)`.
     */
    function _batchTransferFrom(
        address from,
        address to,
        uint256[] memory tokenIds
    ) internal virtual {
        _batchTransferFrom(address(0), from, to, tokenIds);
    }

    /**
     * @dev Transfers `tokenIds` in batch from `from` to `to`.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenIds` tokens must be owned by `from`.
     * - `tokenIds` must be strictly ascending.
     * - If `by` is not `from`, it must be approved to move these tokens
     * by either {approve} or {setApprovalForAll}.
     *
     * `by` is the address that to check token approval for.
     * If token approval check is not needed, pass in `address(0)` for `by`.
     *
     * Emits a {Transfer} event for each transfer.
     */
    function _batchTransferFrom(
        address by,
        address from,
        address to,
        uint256[] memory tokenIds
    ) internal virtual {
        uint256 byMasked = uint160(by);
        uint256 fromMasked = uint160(from);
        uint256 toMasked = uint160(to);
        // Disallow transfer to zero address.
        if (toMasked == uint256(0)) _revert(TransferToZeroAddress.selector);
        // Whether `by` may transfer the tokens.
        bool mayTransfer = _orERC721A(byMasked == uint256(0), byMasked == fromMasked) || isApprovedForAll(from, by);

        // Early return if `tokenIds` is empty.
        if (tokenIds.length == uint256(0)) return;
        // The next `tokenId` to be minted (i.e. `_nextTokenId()`).
        uint256 end = _currentIndex;
        // Pointer to start and end (exclusive) of `tokenIds`.
        (uint256 ptr, uint256 ptrEnd) = _mdataERC721A(tokenIds);

        uint256 prevTokenId;
        uint256 prevOwnershipPacked;
        unchecked {
            do {
                uint256 tokenId = _mloadERC721A(ptr);
                uint256 miniBatchStart = tokenId;
                // Revert `tokenId` is out of bounds.
                if (_orERC721A(tokenId < _startTokenId(), end <= tokenId))
                    _revert(OwnerQueryForNonexistentToken.selector);
                // Revert if `tokenIds` is not strictly ascending.
                if (prevOwnershipPacked != 0)
                    if (tokenId <= prevTokenId) _revert(TokenIdsNotStrictlyAscending.selector);
                // Scan backwards for an initialized packed ownership slot.
                // ERC721A's invariant guarantees that there will always be an initialized slot as long as
                // the start of the backwards scan falls within `[_startTokenId() .. _nextTokenId())`.
                for (uint256 j = tokenId; (prevOwnershipPacked = _packedOwnerships[j]) == uint256(0); ) --j;
                // If the initialized slot is burned, revert.
                if (prevOwnershipPacked & _BITMASK_BURNED != 0) _revert(OwnerQueryForNonexistentToken.selector);
                // Check that `tokenId` is owned by `from`.
                if (uint160(prevOwnershipPacked) != fromMasked) _revert(TransferFromIncorrectOwner.selector);

                do {
                    (uint256 approvedAddressSlot, uint256 approvedAddressValue) = _getApprovedSlotAndValue(tokenId);
                    _beforeTokenTransfers(address(uint160(fromMasked)), address(uint160(toMasked)), tokenId, 1);
                    // Revert if the sender is not authorized to transfer the token.
                    if (!mayTransfer)
                        if (byMasked != approvedAddressValue) _revert(TransferCallerNotOwnerNorApproved.selector);
                    assembly {
                        if approvedAddressValue {
                            sstore(approvedAddressSlot, 0) // Equivalent to `delete _tokenApprovals[tokenId]`.
                        }
                        // Emit the `Transfer` event.
                        log4(0, 0, _TRANSFER_EVENT_SIGNATURE, fromMasked, toMasked, tokenId)
                    }

                    if (_mloadERC721A(ptr += 0x20) != ++tokenId) break;
                    if (ptr == ptrEnd) break;
                } while (_packedOwnerships[tokenId] == uint256(0));

                // Updates tokenId:
                // - `address` to the next owner.
                // - `startTimestamp` to the timestamp of transferring.
                // - `burned` to `false`.
                // - `nextInitialized` to `false`, as it is optional.
                _packedOwnerships[miniBatchStart] = _packOwnershipData(
                    address(uint160(toMasked)),
                    _nextExtraData(address(uint160(fromMasked)), address(uint160(toMasked)), prevOwnershipPacked)
                );
                uint256 miniBatchLength = tokenId - miniBatchStart;
                // Update the address data.
                _packedAddressData[address(uint160(fromMasked))] -= miniBatchLength;
                _packedAddressData[address(uint160(toMasked))] += miniBatchLength;
                // Initialize the next slot if needed.
                if (tokenId != end)
                    if (_packedOwnerships[tokenId] == uint256(0)) _packedOwnerships[tokenId] = prevOwnershipPacked;
                // Perform the after hook for the batch.
                _afterTokenTransfers(
                    address(uint160(fromMasked)),
                    address(uint160(toMasked)),
                    miniBatchStart,
                    miniBatchLength
                );
                // Set the `prevTokenId` for checking that the `tokenIds` is strictly ascending.
                prevTokenId = tokenId - 1;
            } while (ptr != ptrEnd);
        }
    }

    /**
     * @dev Safely transfers `tokenIds` in batch from `from` to `to`.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenIds` tokens must be owned by `from`.
     * - If `by` is not `from`, it must be approved to move these tokens
     * by either {approve} or {setApprovalForAll}.
     * - If `to` refers to a smart contract, it must implement
     * {IERC721Receiver-onERC721Received}, which is called for each transferred token.
     *
     * `by` is the address that to check token approval for.
     * If token approval check is not needed, pass in `address(0)` for `by`.
     *
     * Emits a {Transfer} event for each transfer.
     */
    function _safeBatchTransferFrom(
        address by,
        address from,
        address to,
        uint256[] memory tokenIds,
        bytes memory _data
    ) internal virtual {
        _batchTransferFrom(by, from, to, tokenIds);

        unchecked {
            if (to.code.length != 0) {
                for ((uint256 ptr, uint256 ptrEnd) = _mdataERC721A(tokenIds); ptr != ptrEnd; ptr += 0x20) {
                    if (!_checkContractOnERC721Received(from, to, _mloadERC721A(ptr), _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 == uint256(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 == uint256(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 the lower 160 bits, in case the upper bits somehow aren't clean.
            uint256 toMasked = uint160(to);

            if (toMasked == uint256(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 == uint256(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 the lower 160 bits, in case the upper bits somehow aren't clean.
            uint256 toMasked = uint160(to);

            if (toMasked == uint256(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);

        uint256 fromMasked = uint160(prevOwnershipPacked);
        address from = address(uint160(fromMasked));

        (uint256 approvedAddressSlot, uint256 approvedAddressValue) = _getApprovedSlotAndValue(tokenId);

        if (approvalCheck) {
            // The nested ifs save around 20+ gas over a compound boolean condition.
            if (!_isSenderApprovedOrOwner(approvedAddressValue, fromMasked, uint160(_msgSenderERC721A())))
                if (!isApprovedForAll(from, _msgSenderERC721A())) _revert(TransferCallerNotOwnerNorApproved.selector);
        }

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

        assembly {
            if approvedAddressValue {
                sstore(approvedAddressSlot, 0) // Equivalent to `delete _tokenApprovals[tokenId]`.
            }
        }

        // 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 == uint256(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] == uint256(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++;
        }
    }

    /**
     * @dev Destroys `tokenIds`.
     * Approvals are not cleared when tokenIds are burned.
     *
     * Requirements:
     *
     * - `tokenIds` must exist.
     * - `tokenIds` must be strictly ascending.
     * - `by` must be approved to burn these tokens by either {approve} or {setApprovalForAll}.
     *
     * `by` is the address that to check token approval for.
     * If token approval check is not needed, pass in `address(0)` for `by`.
     *
     * Emits a {Transfer} event for each token burned.
     */
    function _batchBurn(address by, uint256[] memory tokenIds) internal virtual {
        // Early return if `tokenIds` is empty.
        if (tokenIds.length == uint256(0)) return;
        // The next `tokenId` to be minted (i.e. `_nextTokenId()`).
        uint256 end = _currentIndex;
        // Pointer to start and end (exclusive) of `tokenIds`.
        (uint256 ptr, uint256 ptrEnd) = _mdataERC721A(tokenIds);

        uint256 prevOwnershipPacked;
        address prevTokenOwner;
        uint256 prevTokenId;
        bool mayBurn;
        unchecked {
            do {
                uint256 tokenId = _mloadERC721A(ptr);
                uint256 miniBatchStart = tokenId;
                // Revert `tokenId` is out of bounds.
                if (_orERC721A(tokenId < _startTokenId(), end <= tokenId))
                    _revert(OwnerQueryForNonexistentToken.selector);
                // Revert if `tokenIds` is not strictly ascending.
                if (prevOwnershipPacked != 0)
                    if (tokenId <= prevTokenId) _revert(TokenIdsNotStrictlyAscending.selector);
                // Scan backwards for an initialized packed ownership slot.
                // ERC721A's invariant guarantees that there will always be an initialized slot as long as
                // the start of the backwards scan falls within `[_startTokenId() .. _nextTokenId())`.
                for (uint256 j = tokenId; (prevOwnershipPacked = _packedOwnerships[j]) == uint256(0); ) --j;
                // If the initialized slot is burned, revert.
                if (prevOwnershipPacked & _BITMASK_BURNED != 0) _revert(OwnerQueryForNonexistentToken.selector);

                address tokenOwner = address(uint160(prevOwnershipPacked));
                if (tokenOwner != prevTokenOwner) {
                    prevTokenOwner = tokenOwner;
                    mayBurn = _orERC721A(by == address(0), tokenOwner == by) || isApprovedForAll(tokenOwner, by);
                }

                do {
                    (uint256 approvedAddressSlot, uint256 approvedAddressValue) = _getApprovedSlotAndValue(tokenId);
                    _beforeTokenTransfers(tokenOwner, address(0), tokenId, 1);
                    // Revert if the sender is not authorized to transfer the token.
                    if (!mayBurn)
                        if (uint160(by) != approvedAddressValue) _revert(TransferCallerNotOwnerNorApproved.selector);
                    assembly {
                        if approvedAddressValue {
                            sstore(approvedAddressSlot, 0) // Equivalent to `delete _tokenApprovals[tokenId]`.
                        }
                        // Emit the `Transfer` event.
                        log4(0, 0, _TRANSFER_EVENT_SIGNATURE, and(_BITMASK_ADDRESS, tokenOwner), 0, tokenId)
                    }
                    if (_mloadERC721A(ptr += 0x20) != ++tokenId) break;
                    if (ptr == ptrEnd) break;
                } while (_packedOwnerships[tokenId] == uint256(0));

                // Updates tokenId:
                // - `address` to the same `tokenOwner`.
                // - `startTimestamp` to the timestamp of transferring.
                // - `burned` to `true`.
                // - `nextInitialized` to `false`, as it is optional.
                _packedOwnerships[miniBatchStart] = _packOwnershipData(
                    tokenOwner,
                    _BITMASK_BURNED | _nextExtraData(tokenOwner, address(0), prevOwnershipPacked)
                );
                uint256 miniBatchLength = tokenId - miniBatchStart;
                // Update the address data.
                _packedAddressData[tokenOwner] += (miniBatchLength << _BITPOS_NUMBER_BURNED) - miniBatchLength;
                // Initialize the next slot if needed.
                if (tokenId != end)
                    if (_packedOwnerships[tokenId] == uint256(0)) _packedOwnerships[tokenId] = prevOwnershipPacked;
                // Perform the after hook for the batch.
                _afterTokenTransfers(tokenOwner, address(0), miniBatchStart, miniBatchLength);
                // Set the `prevTokenId` for checking that the `tokenIds` is strictly ascending.
                prevTokenId = tokenId - 1;
            } while (ptr != ptrEnd);
            // Increment the overall burn counter.
            _burnCounter += tokenIds.length;
        }
    }

    // =============================================================
    //                     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 == uint256(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;
    }

    // =============================================================
    //                        PRIVATE HELPERS
    // =============================================================

    /**
     * @dev Returns a memory pointer to the start of `a`'s data.
     */
    function _mdataERC721A(uint256[] memory a) private pure returns (uint256 start, uint256 end) {
        assembly {
            start := add(a, 0x20)
            end := add(start, shl(5, mload(a)))
        }
    }

    /**
     * @dev Returns the uint256 at `p` in memory.
     */
    function _mloadERC721A(uint256 p) private pure returns (uint256 result) {
        assembly {
            result := mload(p)
        }
    }

    /**
     * @dev Branchless boolean or.
     */
    function _orERC721A(bool a, bool b) private pure returns (bool result) {
        assembly {
            result := or(iszero(iszero(a)), iszero(iszero(b)))
        }
    }

    // =============================================================
    //                       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)
        }
    }
}