/**
 *Submitted for verification at Etherscan.io on 2022-02-07
*/

// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;

/*
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Gas optimization credited to Azuki: https://www.erc721a.org/
*/




interface IERC165 {
    /**
     * @dev Returns true if this contract implements the interface defined by
     * `interfaceId`. See the corresponding
     * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[EIP section]
     * to learn more about how these ids are created.
     *
     * This function call must use less than 30 000 gas.
     */
    function supportsInterface(bytes4 interfaceId) external view returns (bool);
}

pragma solidity ^0.8.0;


/**
 * @dev Implementation of the {IERC165} interface.
 *
 * Contracts that want to implement ERC165 should inherit from this contract and override {supportsInterface} to check
 * for the additional interface id that will be supported. For example:
 *
 * ```solidity
 * function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
 *     return interfaceId == type(MyInterface).interfaceId || super.supportsInterface(interfaceId);
 * }
 * ```
 *
 * Alternatively, {ERC165Storage} provides an easier to use but more expensive implementation.
 */
abstract contract ERC165 is IERC165 {
    /**
     * @dev See {IERC165-supportsInterface}.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
        return interfaceId == type(IERC165).interfaceId;
    }
}

pragma solidity ^0.8.0;

/**
 * @dev Collection of functions related to the address type
 */
library Address {
    /**
     * @dev Returns true if `account` is a contract.
     *
     * [IMPORTANT]
     * ====
     * It is unsafe to assume that an address for which this function returns
     * false is an externally-owned account (EOA) and not a contract.
     *
     * Among others, `isContract` will return false for the following
     * types of addresses:
     *
     *  - an externally-owned account
     *  - a contract in construction
     *  - an address where a contract will be created
     *  - an address where a contract lived, but was destroyed
     * ====
     */
    function isContract(address account) internal view returns (bool) {
        // This method relies on extcodesize, which returns 0 for contracts in
        // construction, since the code is only stored at the end of the
        // constructor execution.

        uint256 size;
        assembly {
            size := extcodesize(account)
        }
        return size > 0;
    }

    /**
     * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
     * `recipient`, forwarding all available gas and reverting on errors.
     *
     * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
     * of certain opcodes, possibly making contracts go over the 2300 gas limit
     * imposed by `transfer`, making them unable to receive funds via
     * `transfer`. {sendValue} removes this limitation.
     *
     * https://diligence.consensys.net/posts/2019/09/stop-using-soliditys-transfer-now/[Learn more].
     *
     * IMPORTANT: because control is transferred to `recipient`, care must be
     * taken to not create reentrancy vulnerabilities. Consider using
     * {ReentrancyGuard} or the
     * https://solidity.readthedocs.io/en/v0.5.11/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
     */
    function sendValue(address payable recipient, uint256 amount) internal {
        require(address(this).balance >= amount, "Address: insufficient balance");

        (bool success, ) = recipient.call{value: amount}("");
        require(success, "Address: unable to send value, recipient may have reverted");
    }

    /**
     * @dev Performs a Solidity function call using a low level `call`. A
     * plain `call` is an unsafe replacement for a function call: use this
     * function instead.
     *
     * If `target` reverts with a revert reason, it is bubbled up by this
     * function (like regular Solidity function calls).
     *
     * Returns the raw returned data. To convert to the expected return value,
     * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
     *
     * Requirements:
     *
     * - `target` must be a contract.
     * - calling `target` with `data` must not revert.
     *
     * _Available since v3.1._
     */
    function functionCall(address target, bytes memory data) internal returns (bytes memory) {
        return functionCall(target, data, "Address: low-level call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with
     * `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal returns (bytes memory) {
        return functionCallWithValue(target, data, 0, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but also transferring `value` wei to `target`.
     *
     * Requirements:
     *
     * - the calling contract must have an ETH balance of at least `value`.
     * - the called Solidity function must be `payable`.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(
        address target,
        bytes memory data,
        uint256 value
    ) internal returns (bytes memory) {
        return functionCallWithValue(target, data, value, "Address: low-level call with value failed");
    }

    /**
     * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but
     * with `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(
        address target,
        bytes memory data,
        uint256 value,
        string memory errorMessage
    ) internal returns (bytes memory) {
        require(address(this).balance >= value, "Address: insufficient balance for call");
        require(isContract(target), "Address: call to non-contract");

        (bool success, bytes memory returndata) = target.call{value: value}(data);
        return _verifyCallResult(success, returndata, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
        return functionStaticCall(target, data, "Address: low-level static call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal view returns (bytes memory) {
        require(isContract(target), "Address: static call to non-contract");

        (bool success, bytes memory returndata) = target.staticcall(data);
        return _verifyCallResult(success, returndata, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but performing a delegate call.
     *
     * _Available since v3.4._
     */
    function functionDelegateCall(address target, bytes memory data) internal returns (bytes memory) {
        return functionDelegateCall(target, data, "Address: low-level delegate call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a delegate call.
     *
     * _Available since v3.4._
     */
    function functionDelegateCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal returns (bytes memory) {
        require(isContract(target), "Address: delegate call to non-contract");

        (bool success, bytes memory returndata) = target.delegatecall(data);
        return _verifyCallResult(success, returndata, errorMessage);
    }

    function _verifyCallResult(
        bool success,
        bytes memory returndata,
        string memory errorMessage
    ) private pure returns (bytes memory) {
        if (success) {
            return returndata;
        } else {
            // Look for revert reason and bubble it up if present
            if (returndata.length > 0) {
                // The easiest way to bubble the revert reason is using memory via assembly

                assembly {
                    let returndata_size := mload(returndata)
                    revert(add(32, returndata), returndata_size)
                }
            } else {
                revert(errorMessage);
            }
        }
    }
}



pragma solidity ^0.8.0;


/**
 * @dev Required interface of an ERC721 compliant contract.
 */
interface IERC721 is IERC165 {
    /**
     * @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
    ) external;

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

    /**
     * @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;

    /**
     * @dev Returns the account approved for `tokenId` token.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     */
    function getApproved(uint256 tokenId) external view returns (address operator);

    /**
     * @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 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);

    /**
     * @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 calldata data
    ) external;
}



pragma solidity ^0.8.0;

/**
 * @title ERC721 token receiver interface
 * @dev Interface for any contract that wants to support safeTransfers
 * from ERC721 asset contracts.
 */
interface IERC721Receiver {
    /**
     * @dev Whenever an {IERC721} `tokenId` token is transferred to this contract via {IERC721-safeTransferFrom}
     * by `operator` from `from`, this function is called.
     *
     * It must return its Solidity selector to confirm the token transfer.
     * If any other value is returned or the interface is not implemented by the recipient, the transfer will be reverted.
     *
     * The selector can be obtained in Solidity with `IERC721.onERC721Received.selector`.
     */
    function onERC721Received(
        address operator,
        address from,
        uint256 tokenId,
        bytes calldata data
    ) external returns (bytes4);
}



pragma solidity ^0.8.0;

/*
 * @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;
    }
}


pragma solidity ^0.8.0;

/**
 * @dev String operations.
 */
library Strings {
    bytes16 private constant _HEX_SYMBOLS = "0123456789abcdef";

    /**
     * @dev Converts a `uint256` to its ASCII `string` decimal representation.
     */
    function toString(uint256 value) internal pure returns (string memory) {
        // Inspired by OraclizeAPI's implementation - MIT licence
        // https://github.com/oraclize/ethereum-api/blob/b42146b063c7d6ee1358846c198246239e9360e8/oraclizeAPI_0.4.25.sol

        if (value == 0) {
            return "0";
        }
        uint256 temp = value;
        uint256 digits;
        while (temp != 0) {
            digits++;
            temp /= 10;
        }
        bytes memory buffer = new bytes(digits);
        while (value != 0) {
            digits -= 1;
            buffer[digits] = bytes1(uint8(48 + uint256(value % 10)));
            value /= 10;
        }
        return string(buffer);
    }

    /**
     * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation.
     */
    function toHexString(uint256 value) internal pure returns (string memory) {
        if (value == 0) {
            return "0x00";
        }
        uint256 temp = value;
        uint256 length = 0;
        while (temp != 0) {
            length++;
            temp >>= 8;
        }
        return toHexString(value, length);
    }

    /**
     * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation with fixed length.
     */
    function toHexString(uint256 value, uint256 length) internal pure returns (string memory) {
        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_SYMBOLS[value & 0xf];
            value >>= 4;
        }
        require(value == 0, "Strings: hex length insufficient");
        return string(buffer);
    }
}



pragma solidity ^0.8.0;


/**
 * @title ERC-721 Non-Fungible Token Standard, optional enumeration extension
 * @dev See https://eips.ethereum.org/EIPS/eip-721
 */
interface IERC721Enumerable is IERC721 {
    /**
     * @dev Returns the total amount of tokens stored by the contract.
     */
    function totalSupply() external view returns (uint256);

    /**
     * @dev Returns a token ID owned by `owner` at a given `index` of its token list.
     * Use along with {balanceOf} to enumerate all of ``owner``'s tokens.
     */
    function tokenOfOwnerByIndex(address owner, uint256 index) external view returns (uint256 tokenId);

    /**
     * @dev Returns a token ID at a given `index` of all the tokens stored by the contract.
     * Use along with {totalSupply} to enumerate all tokens.
     */
    function tokenByIndex(uint256 index) external view returns (uint256);
}



pragma solidity ^0.8.0;



/**
 * @title ERC-721 Non-Fungible Token Standard, optional metadata extension
 * @dev See https://eips.ethereum.org/EIPS/eip-721
 */
interface IERC721Metadata is IERC721 {
    /**
     * @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);
}



pragma solidity ^0.8.0;

/**
 * @dev Implementation of https://eips.ethereum.org/EIPS/eip-721[ERC721] Non-Fungible Token Standard, including
 * the Metadata and Enumerable extension. Built to optimize for lower gas during batch mints.
 *
 * Assumes serials are sequentially minted starting at 0 (e.g. 0, 1, 2, 3..).
 *
 * Assumes the number of issuable tokens (collection size) is capped and fits in a uint128.
 *
 * Does not support burning tokens to address(0).
 */
contract ERC721A is
  Context,
  ERC165,
  IERC721,
  IERC721Metadata,
  IERC721Enumerable
{
  using Address for address;
  using Strings for uint256;

  struct TokenOwnership {
    address addr;
    uint64 startTimestamp;
  }

  struct AddressData {
    uint128 balance;
    uint128 numberMinted;
  }

  uint256 private currentIndex = 1;

  uint256 internal immutable collectionSize;
  uint256 internal immutable maxBatchSize;

  // 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 ownershipOf implementation for details.
  mapping(uint256 => TokenOwnership) private _ownerships;

  // Mapping owner address to address data
  mapping(address => AddressData) private _addressData;

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

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

  /**
   * @dev
   * `maxBatchSize` refers to how much a minter can mint at a time.
   * `collectionSize_` refers to how many tokens are in the collection.
   */
  constructor(
    string memory name_,
    string memory symbol_,
    uint256 maxBatchSize_,
    uint256 collectionSize_
  ) {
    require(
      collectionSize_ > 0,
      "ERC721A: collection must have a nonzero supply"
    );
    require(maxBatchSize_ > 0, "ERC721A: max batch size must be nonzero");
    _name = name_;
    _symbol = symbol_;
    maxBatchSize = maxBatchSize_;
    collectionSize = collectionSize_;
  }

  /**
   * @dev See {IERC721Enumerable-totalSupply}.
   */
  function totalSupplyA() private view returns (uint256) {
    return currentIndex;
  }

  function totalSupply() public view override returns (uint256) {
    return currentIndex - 1;
  }

  /**
   * @dev See {IERC721Enumerable-tokenByIndex}.
   */
  function tokenByIndex(uint256 index) public view override returns (uint256) {
    require(index < totalSupplyA(), "ERC721A: global index out of bounds");
    return index;
  }

  /**
   * @dev See {IERC721Enumerable-tokenOfOwnerByIndex}.
   * This read function is O(collectionSize). If calling from a separate contract, be sure to test gas first.
   * It may also degrade with extremely large collection sizes (e.g >> 10000), test for your use case.
   */
  function tokenOfOwnerByIndex(address owner, uint256 index)
    public
    view
    override
    returns (uint256)
  {
    require(index < balanceOf(owner), "ERC721A: owner index out of bounds");
    uint256 numMintedSoFar = totalSupplyA();
    uint256 tokenIdsIdx = 0;
    address currOwnershipAddr = address(0);
    for (uint256 i = 0; i < numMintedSoFar; i++) {
      TokenOwnership memory ownership = _ownerships[i];
      if (ownership.addr != address(0)) {
        currOwnershipAddr = ownership.addr;
      }
      if (currOwnershipAddr == owner) {
        if (tokenIdsIdx == index) {
          return i;
        }
        tokenIdsIdx++;
      }
    }
    revert("ERC721A: unable to get token of owner by index");
  }

  /**
   * @dev See {IERC165-supportsInterface}.
   */
  function supportsInterface(bytes4 interfaceId)
    public
    view
    virtual
    override(ERC165, IERC165)
    returns (bool)
  {
    return
      interfaceId == type(IERC721).interfaceId ||
      interfaceId == type(IERC721Metadata).interfaceId ||
      interfaceId == type(IERC721Enumerable).interfaceId ||
      super.supportsInterface(interfaceId);
  }

  /**
   * @dev See {IERC721-balanceOf}.
   */
  function balanceOf(address owner) public view override returns (uint256) {
    require(owner != address(0), "ERC721A: balance query for the zero address");
    return uint256(_addressData[owner].balance);
  }

  function _numberMinted(address owner) internal view returns (uint256) {
    require(
      owner != address(0),
      "ERC721A: number minted query for the zero address"
    );
    return uint256(_addressData[owner].numberMinted);
  }

  function ownershipOf(uint256 tokenId)
    internal
    view
    returns (TokenOwnership memory)
  {
    require(_exists(tokenId), "ERC721A: owner query for nonexistent token");

    uint256 lowestTokenToCheck;
    if (tokenId >= maxBatchSize) {
      lowestTokenToCheck = tokenId - maxBatchSize + 1;
    }

    for (uint256 curr = tokenId; curr >= lowestTokenToCheck; curr--) {
      TokenOwnership memory ownership = _ownerships[curr];
      if (ownership.addr != address(0)) {
        return ownership;
      }
    }

    revert("ERC721A: unable to determine the owner of token");
  }

  /**
   * @dev See {IERC721-ownerOf}.
   */
  function ownerOf(uint256 tokenId) public view override returns (address) {
    return ownershipOf(tokenId).addr;
  }

  /**
   * @dev See {IERC721Metadata-name}.
   */
  function name() public view virtual override returns (string memory) {
    return _name;
  }

  /**
   * @dev See {IERC721Metadata-symbol}.
   */
  function symbol() public view virtual override returns (string memory) {
    return _symbol;
  }

  /**
   * @dev See {IERC721Metadata-tokenURI}.
   */
  function tokenURI(uint256 tokenId)
    public
    view
    virtual
    override
    returns (string memory)
  {
    require(
      _exists(tokenId),
      "ERC721Metadata: URI query for nonexistent token"
    );

    string memory baseURI = _baseURI();
    return
      bytes(baseURI).length > 0
        ? string(abi.encodePacked(baseURI, tokenId.toString()))
        : "";
  }

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

  /**
   * @dev See {IERC721-approve}.
   */
  function approve(address to, uint256 tokenId) public override {
    address owner = ERC721A.ownerOf(tokenId);
    require(to != owner, "ERC721A: approval to current owner");

    require(
      _msgSender() == owner || isApprovedForAll(owner, _msgSender()),
      "ERC721A: approve caller is not owner nor approved for all"
    );

    _approve(to, tokenId, owner);
  }

  /**
   * @dev See {IERC721-getApproved}.
   */
  function getApproved(uint256 tokenId) public view override returns (address) {
    require(_exists(tokenId), "ERC721A: approved query for nonexistent token");

    return _tokenApprovals[tokenId];
  }

  /**
   * @dev See {IERC721-setApprovalForAll}.
   */
  function setApprovalForAll(address operator, bool approved) public override {
    require(operator != _msgSender(), "ERC721A: approve to caller");

    _operatorApprovals[_msgSender()][operator] = approved;
    emit ApprovalForAll(_msgSender(), operator, approved);
  }

  /**
   * @dev See {IERC721-isApprovedForAll}.
   */
  function isApprovedForAll(address owner, address operator)
    public
    view
    virtual
    override
    returns (bool)
  {
    return _operatorApprovals[owner][operator];
  }

  /**
   * @dev See {IERC721-transferFrom}.
   */

  function transferFrom(
    address from,
    address to,
    uint256 tokenId
  ) public virtual override {
    _transfer(from, to, tokenId);
  }

  /**
   * @dev See {IERC721-safeTransferFrom}.
   */

  function safeTransferFrom(
    address from,
    address to,
    uint256 tokenId
  ) public override {
    safeTransferFrom(from, to, tokenId, "");
  }

  /**
   * @dev See {IERC721-safeTransferFrom}.
   */
  function safeTransferFrom(
    address from,
    address to,
    uint256 tokenId,
    bytes memory _data
  ) public virtual override {
    _transfer(from, to, tokenId);
    require(
      _checkOnERC721Received(from, to, tokenId, _data),
      "ERC721A: transfer to non ERC721Receiver implementer"
    );
  }

  /**
   * @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 (`_mint`),
   */
  function _exists(uint256 tokenId) internal view returns (bool) {
    return tokenId < currentIndex;
  }

  function _safeMint(address to, uint256 quantity) internal {
    _safeMint(to, quantity, "");
  }

  function _isApprovedOrOwner(address spender, uint256 tokenId) internal view virtual returns (bool) {
         require(_exists(tokenId), "ERC721: operator query for nonexistent token");
         address owner = ERC721A.ownerOf(tokenId);
         return (spender == owner || getApproved(tokenId) == spender || isApprovedForAll(owner, spender));
   }
  /**
   * @dev Mints `quantity` tokens and transfers them to `to`.
   *
   * Requirements:
   *
   * - there must be `quantity` tokens remaining unminted in the total collection.
   * - `to` cannot be the zero address.
   * - `quantity` cannot be larger than the max batch size.
   *
   * Emits a {Transfer} event.
   */



  function _safeMint(
    address to,
    uint256 quantity,
    bytes memory _data
  ) internal {
    uint256 startTokenId = currentIndex;
    require(to != address(0), "ERC721A: mint to the zero address");
    // We know if the first token in the batch doesn't exist, the other ones don't as well, because of serial ordering.
    require(!_exists(startTokenId), "ERC721A: token already minted");
    require(quantity <= maxBatchSize, "ERC721A: quantity to mint too high");

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

    AddressData memory addressData = _addressData[to];
    _addressData[to] = AddressData(
      addressData.balance + uint128(quantity),
      addressData.numberMinted + uint128(quantity)
    );
    _ownerships[startTokenId] = TokenOwnership(to, uint64(block.timestamp));

    uint256 updatedIndex = startTokenId;

    for (uint256 i = 0; i < quantity; i++) {
      emit Transfer(address(0), to, updatedIndex);
      require(
        _checkOnERC721Received(address(0), to, updatedIndex, _data),
        "ERC721A: transfer to non ERC721Receiver implementer"
      );
      updatedIndex++;
    }

    currentIndex = updatedIndex;
    _afterTokenTransfers(address(0), to, startTokenId, quantity);
  }

  /**
   * @dev Transfers `tokenId` from `from` to `to`.
   *
   * Requirements:
   *
   * - `to` cannot be the zero address.
   * - `tokenId` token must be owned by `from`.
   *
   * Emits a {Transfer} event.
   */
  function _transfer(
    address from,
    address to,
    uint256 tokenId
  ) internal virtual {
    TokenOwnership memory prevOwnership = ownershipOf(tokenId);

    require(
      prevOwnership.addr == from,
      "ERC721A: transfer from incorrect owner"
    );
    require(to != address(0), "ERC721A: transfer to the zero address");

    _beforeTokenTransfers(from, to, tokenId, 1);

    // Clear approvals from the previous owner
    // ruleid: erc721-arbitrary-transferfrom
    _approve(address(0), tokenId, prevOwnership.addr);

    _addressData[from].balance -= 1;
    _addressData[to].balance += 1;
    _ownerships[tokenId] = TokenOwnership(to, uint64(block.timestamp));

    // If the ownership slot of tokenId+1 is not explicitly set, that means the transfer initiator owns it.
    // Set the slot of tokenId+1 explicitly in storage to maintain correctness for ownerOf(tokenId+1) calls.
    uint256 nextTokenId = tokenId + 1;
    if (_ownerships[nextTokenId].addr == address(0)) {
      if (_exists(nextTokenId)) {
        _ownerships[nextTokenId] = TokenOwnership(
          prevOwnership.addr,
          prevOwnership.startTimestamp
        );
      }
    }

    emit Transfer(from, to, tokenId);
    _afterTokenTransfers(from, to, tokenId, 1);
  }
  
  // correct _transfer from Azuki ERC721A https://github.com/chiru-labs/ERC721A/blob/main/contracts/ERC721A.sol#L442=
  function _transfer(
        address from,
        address to,
        uint256 tokenId
    ) private {
        TokenOwnership memory prevOwnership = _ownershipOf(tokenId);

        if (prevOwnership.addr != from) revert TransferFromIncorrectOwner();

        bool isApprovedOrOwner = (_msgSender() == from ||
            isApprovedForAll(from, _msgSender()) ||
            getApproved(tokenId) == _msgSender());

        if (!isApprovedOrOwner) revert TransferCallerNotOwnerNorApproved();
        if (to == address(0)) revert TransferToZeroAddress();

        _beforeTokenTransfers(from, to, tokenId, 1);

        // Clear approvals from the previous owner
        // ok: erc721-arbitrary-transferfrom
        _approve(address(0), tokenId, from);

        // 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 {
            _addressData[from].balance -= 1;
            _addressData[to].balance += 1;

            TokenOwnership storage currSlot = _ownerships[tokenId];
            currSlot.addr = to;
            currSlot.startTimestamp = uint64(block.timestamp);

            // If the ownership slot of tokenId+1 is not explicitly set, that means the transfer initiator owns it.
            // Set the slot of tokenId+1 explicitly in storage to maintain correctness for ownerOf(tokenId+1) calls.
            uint256 nextTokenId = tokenId + 1;
            TokenOwnership storage nextSlot = _ownerships[nextTokenId];
            if (nextSlot.addr == address(0)) {
                // This will suffice for checking _exists(nextTokenId),
                // as a burned slot cannot contain the zero address.
                if (nextTokenId != _currentIndex) {
                    nextSlot.addr = from;
                    nextSlot.startTimestamp = prevOwnership.startTimestamp;
                }
            }
        }

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

    // correct _transfer from OpenZeppelin ERC721
    function _transfer(
        address from,
        address to,
        uint256 tokenId
    ) internal virtual {
        require(ERC721.ownerOf(tokenId) == from, "ERC721: transfer from incorrect owner");
        require(to != address(0), "ERC721: transfer to the zero address");

        _beforeTokenTransfer(from, to, tokenId);

        // Clear approvals from the previous owner
        // ok: erc721-arbitrary-transferfrom
        _approve(address(0), tokenId);

        _balances[from] -= 1;
        _balances[to] += 1;
        _owners[tokenId] = to;

        emit Transfer(from, to, tokenId);

        _afterTokenTransfer(from, to, tokenId);
    }

    // correct transferFrom from OpenZeppelin

    function transferFrom(
        address from,
        address to,
        uint256 tokenId
    ) public virtual override {
        //solhint-disable-next-line max-line-length
        require(_isApprovedOrOwner(_msgSender(), tokenId), "ERC721: transfer caller is not owner nor approved");
        // ok: erc721-arbitrary-transferfrom
        _transfer(from, to, tokenId);
    }

    // another correct transfer
    function _transfer(
        address from,
        address to,
        uint256 tokenId
    ) private {
        TokenOwnership memory prevOwnership = ownershipOf(tokenId);

        bool isApprovedOrOwner = (_msgSender() == prevOwnership.addr ||
        getApproved(tokenId) == _msgSender() ||
        isApprovedForAll(prevOwnership.addr, _msgSender()));

        require(
            isApprovedOrOwner,
            "ERC721A: transfer caller is not owner nor approved"
        );

        require(
            prevOwnership.addr == from,
            "ERC721A: transfer from incorrect owner"
        );
        require(to != address(0), "ERC721A: transfer to the zero address");

        _beforeTokenTransfers(from, to, tokenId, 1);

        // Clear approvals from the previous owner
        // ok: erc721-arbitrary-transferfrom
        _approve(address(0), tokenId, prevOwnership.addr);

        _addressData[from].balance -= 1;
        _addressData[to].balance += 1;
        _ownerships[tokenId] = TokenOwnership(to, uint64(block.timestamp));

        // If the ownership slot of tokenId+1 is not explicitly set, that means the transfer initiator owns it.
        // Set the slot of tokenId+1 explicitly in storage to maintain correctness for ownerOf(tokenId+1) calls.
        uint256 nextTokenId = tokenId + 1;
        if (_ownerships[nextTokenId].addr == address(0)) {
            if (_exists(nextTokenId)) {
                _ownerships[nextTokenId] = TokenOwnership(
                    prevOwnership.addr,
                    prevOwnership.startTimestamp
                );
            }
        }

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

    // ERC721X
    function _transfer(
        address from,
        address to,
        uint256 tokenId
    ) internal virtual {
        TokenOwnership memory prevOwnership = ownershipOf(tokenId);

        //bool isApprovedOrOwner = (_msgSender() == prevOwnership.addr ||
        //getApproved(tokenId) == _msgSender() ||
        //isApprovedForAll(prevOwnership.addr, _msgSender()));

        require(_isApprovedOrOwner(_msgSender(), tokenId), "ERC721X: transfer caller is not owner nor approved");
        require(prevOwnership.addr == from, "ERC721X: transfer from incorrect owner");
        require(to != address(0), "ERC721X: transfer to the zero address");

        _beforeTokenTransfers(from, to, tokenId, 1);

        // Clear approvals from the previous owner
        // ok: erc721-arbitrary-transferfrom
        _approve(address(0), tokenId, prevOwnership.addr);

        _addressData[from].balance -= 1;
        _addressData[to].balance += 1;
        _ownerships[tokenId] = TokenOwnership(to, uint64(block.timestamp));

        // If the ownership slot of tokenId+1 is not explicitly set, that means the transfer initiator owns it.
        // Set the slot of tokenId+1 explicitly in storage to maintain correctness for ownerOf(tokenId+1) calls.
        uint256 nextTokenId = tokenId + 1;
        if (_ownerships[nextTokenId].addr == address(0)) {
            if (_exists(nextTokenId)) {
                _ownerships[nextTokenId] = TokenOwnership(
                prevOwnership.addr,
                prevOwnership.startTimestamp
                );
            }
        }

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

  /**
   * @dev Approve `to` to operate on `tokenId`
   *
   * Emits a {Approval} event.
   */
  function _approve(
    address to,
    uint256 tokenId,
    address owner
  ) private {
    _tokenApprovals[tokenId] = to;
    emit Approval(owner, to, tokenId);
  }

  uint256 public nextOwnerToExplicitlySet = 0;

  /**
   * @dev Explicitly set `owners` to eliminate loops in future calls of ownerOf().
   */
  function _setOwnersExplicit(uint256 quantity) internal {
    uint256 oldNextOwnerToSet = nextOwnerToExplicitlySet;
    require(quantity > 0, "quantity must be nonzero");
    uint256 endIndex = oldNextOwnerToSet + quantity - 1;
    if (endIndex > collectionSize - 1) {
      endIndex = collectionSize - 1;
    }
    // We know if the last one in the group exists, all in the group exist, due to serial ordering.
    require(_exists(endIndex), "not enough minted yet for this cleanup");
    for (uint256 i = oldNextOwnerToSet; i <= endIndex; i++) {
      if (_ownerships[i].addr == address(0)) {
        TokenOwnership memory ownership = ownershipOf(i);
        _ownerships[i] = TokenOwnership(
          ownership.addr,
          ownership.startTimestamp
        );
      }
    }
    nextOwnerToExplicitlySet = endIndex + 1;
  }

  /**
   * @dev Internal function to invoke {IERC721Receiver-onERC721Received} on a target address.
   * The call is not executed if the target address is not a contract.
   *
   * @param from address representing the previous owner of the given token ID
   * @param to target address that will receive the tokens
   * @param tokenId uint256 ID of the token to be transferred
   * @param _data bytes optional data to send along with the call
   * @return bool whether the call correctly returned the expected magic value
   */
  function _checkOnERC721Received(
    address from,
    address to,
    uint256 tokenId,
    bytes memory _data
  ) private returns (bool) {
    if (to.isContract()) {
      try
        IERC721Receiver(to).onERC721Received(_msgSender(), from, tokenId, _data)
      returns (bytes4 retval) {
        return retval == IERC721Receiver(to).onERC721Received.selector;
      } catch (bytes memory reason) {
        if (reason.length == 0) {
          revert("ERC721A: transfer to non ERC721Receiver implementer");
        } else {
          assembly {
            revert(add(32, reason), mload(reason))
          }
        }
      }
    } else {
      return true;
    }
  }

  /**
   * @dev Hook that is called before a set of serially-ordered token ids are about to be transferred. This includes minting.
   *
   * 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`.
   */
  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.
   *
   * 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` and `to` are never both zero.
   */
  function _afterTokenTransfers(
    address from,
    address to,
    uint256 startTokenId,
    uint256 quantity
  ) internal virtual {}
}



pragma solidity ^0.8.0;

/**
 * @dev Contract module that helps prevent reentrant calls to a function.
 *
 * Inheriting from `ReentrancyGuard` will make the {nonReentrant} modifier
 * available, which can be applied to functions to make sure there are no nested
 * (reentrant) calls to them.
 *
 * Note that because there is a single `nonReentrant` guard, functions marked as
 * `nonReentrant` may not call one another. This can be worked around by making
 * those functions `private`, and then adding `external` `nonReentrant` entry
 * points to them.
 *
 * TIP: If you would like to learn more about reentrancy and alternative ways
 * to protect against it, check out our blog post
 * https://blog.openzeppelin.com/reentrancy-after-istanbul/[Reentrancy After Istanbul].
 */
abstract contract ReentrancyGuard {
    // Booleans are more expensive than uint256 or any type that takes up a full
    // word because each write operation emits an extra SLOAD to first read the
    // slot's contents, replace the bits taken up by the boolean, and then write
    // back. This is the compiler's defense against contract upgrades and
    // pointer aliasing, and it cannot be disabled.

    // The values being non-zero value makes deployment a bit more expensive,
    // but in exchange the refund on every call to nonReentrant will be lower in
    // amount. Since refunds are capped to a percentage of the total
    // transaction's gas, it is best to keep them low in cases like this one, to
    // increase the likelihood of the full refund coming into effect.
    uint256 private constant _NOT_ENTERED = 1;
    uint256 private constant _ENTERED = 2;

    uint256 private _status;

    constructor() {
        _status = _NOT_ENTERED;
    }

    /**
     * @dev Prevents a contract from calling itself, directly or indirectly.
     * Calling a `nonReentrant` function from another `nonReentrant`
     * function is not supported. It is possible to prevent this from happening
     * by making the `nonReentrant` function external, and make it call a
     * `private` function that does the actual work.
     */
    modifier nonReentrant() {
        // On the first call to nonReentrant, _notEntered will be true
        require(_status != _ENTERED, "ReentrancyGuard: reentrant call");

        // Any calls to nonReentrant after this point will fail
        _status = _ENTERED;

        _;

        // By storing the original value once again, a refund is triggered (see
        // https://eips.ethereum.org/EIPS/eip-2200)
        _status = _NOT_ENTERED;
    }
}



pragma solidity ^0.8.0;


/**
 * @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.
 *
 * By default, the owner account will be the one that deploys the contract. 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;

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

    /**
     * @dev Initializes the contract setting the deployer as the initial owner.
     */
    constructor() {
        _setOwner(_msgSender());
    }

    /**
     * @dev Returns the address of the current owner.
     */
    function owner() public view virtual returns (address) {
        return _owner;
    }

    /**
     * @dev Throws if called by any account other than the owner.
     */
    modifier onlyOwner() {
        require(owner() == _msgSender(), "Ownable: caller is not the owner");
        _;
    }

    /**
     * @dev Leaves the contract without owner. It will not be possible to call
     * `onlyOwner` functions anymore. Can only be called by the current owner.
     *
     * NOTE: Renouncing ownership will leave the contract without an owner,
     * thereby removing any functionality that is only available to the owner.
     */
    function renounceOwnership() public virtual onlyOwner {
        _setOwner(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 {
        require(newOwner != address(0), "Ownable: new owner is the zero address");
        _setOwner(newOwner);
    }

    function _setOwner(address newOwner) private {
        address oldOwner = _owner;
        _owner = newOwner;
        emit OwnershipTransferred(oldOwner, newOwner);
    }
}


pragma solidity ^0.8.0;


contract Distortion is ERC721A, Ownable, ReentrancyGuard {



  bool public isClaimActive = false;
  uint public maxSupply = 1000;
  uint public maxFree = 200;
  uint256 public price = 0.05 ether;    
  address payable private immutable payoutAddress;


  // keep track of wallets that have claimed
  mapping(address => uint) private claimed;
  mapping(address => uint) private claimedFree;

  // randomness of block in the future (#xxxxxxxx)
  string private hashOfBlock;
  bool private hashSet = false;

  constructor(
    address payable _payoutAddress
  ) ERC721A("Distortion", "DST", 1, maxSupply) {

    require(_payoutAddress != address(0));
    payoutAddress = _payoutAddress;

  }


  /*

  ███╗░░░███╗██╗███╗░░██╗████████╗
  ████╗░████║██║████╗░██║╚══██╔══╝
  ██╔████╔██║██║██╔██╗██║░░░██║░░░
  ██║╚██╔╝██║██║██║╚████║░░░██║░░░
  ██║░╚═╝░██║██║██║░╚███║░░░██║░░░
  ╚═╝░░░░░╚═╝╚═╝╚═╝░░╚══╝░░░╚═╝░░░
  Information on 0xDistortion.com
  */

  function mint() public payable callerIsWallet {
    require(isClaimActive, "Claim is not active...");
    require(totalSupply() + 1 <= maxSupply, "We have no more supply in stock.");

    if (totalSupply() + 1 > maxFree) {
      require(price == msg.value, "Wrong ether amount. Free supply depleted.");
      require(claimed[msg.sender] + 1 <= 2, "Max 2 per wallet."); 
      claimed[msg.sender] += 1;

    } else {
      require(msg.value == 0, "Don't send ether for the free mint.");
      require(claimedFree[msg.sender] < 1, "You can only get 1 free mint.");
      claimedFree[msg.sender] += 1;
    }
    
    _safeMint(msg.sender, 1);
  }



  /*
  ██████╗░███████╗██╗░░░██╗
  ██╔══██╗██╔════╝██║░░░██║
  ██║░░██║█████╗░░╚██╗░██╔╝
  ██║░░██║██╔══╝░░░╚████╔╝░
  ██████╔╝███████╗░░╚██╔╝░░
  ╚═════╝░╚══════╝░░░╚═╝░░░
  Developer functions:
  - Dev mint
  - Dev airdrop
  - Start the sale/claim
  - Update the price of the sale
  - Update the hash/provenance for the reveal (can only be called once)
  */

  function devMint() public onlyOwner {
    require(totalSupply() + 1 <= maxSupply, "Creator cannot mint if supply has been reached.");
    _safeMint(msg.sender, 1);
  }

  function devAirdrop(address _recipient) public onlyOwner {
    require(totalSupply() + 1 <= maxSupply, "Creator cannot airdrop if supply has been reached.");
    _safeMint(_recipient, 1);
  }


  function setClaimState(bool _trueOrFalse) public onlyOwner {
    isClaimActive = _trueOrFalse;
  }

  // adding the hash of the block of the last mint to ensure randomness.
  function updateHash(string memory _hash) public onlyOwner {
    require(!hashSet, "Randomness hash can only be set once by the deployer.");
    hashOfBlock = _hash;
    hashSet = true;
  }

  function updatePrice(uint256 _price) public onlyOwner {
    price = _price;
  }



  /*

  ░██████╗░███████╗███╗░░██╗███████╗██████╗░░█████╗░████████╗██╗██╗░░░██╗███████╗
  ██╔════╝░██╔════╝████╗░██║██╔════╝██╔══██╗██╔══██╗╚══██╔══╝██║██║░░░██║██╔════╝
  ██║░░██╗░█████╗░░██╔██╗██║█████╗░░██████╔╝███████║░░░██║░░░██║╚██╗░██╔╝█████╗░░
  ██║░░╚██╗██╔══╝░░██║╚████║██╔══╝░░██╔══██╗██╔══██║░░░██║░░░██║░╚████╔╝░██╔══╝░░
  ╚██████╔╝███████╗██║░╚███║███████╗██║░░██║██║░░██║░░░██║░░░██║░░╚██╔╝░░███████╗
  ░╚═════╝░╚══════╝╚═╝░░╚══╝╚══════╝╚═╝░░╚═╝╚═╝░░╚═╝░░░╚═╝░░░╚═╝░░░╚═╝░░░╚══════╝
  Everything to do with the on-chain generation of the Distortion pieces.
  */



  string[] private colorNames = [
    'White' ,
    'Red',
    'Green',
    'Blue',
    'Gold',
    'Rose',
    'Purple'
  ]; 


  string[] private left = [
    'rgb(140,140,140)' ,
    'rgb(255, 26, 26)',
    'rgb(92, 214, 92)',
    'rgb(26, 140, 255)',
    'rgb(255, 215, 0)',
    'rgb(255, 128, 128)',
    'rgb(192, 50, 227)'
  ]; 

  string[] private right = [
    'rgb(52,52,52)' ,
    'rgb(230, 0, 0)',
    'rgb(51, 204, 51)',
    'rgb(0, 115, 230)',
    'rgb(204, 173, 0)',
    'rgb(255, 102, 102)',
    'rgb(167, 40, 199)'
  ]; 

  string[] private middleLeft = [
    'rgb(57,57,57)' ,
    'rgb(179, 0, 0)',
    'rgb(41, 163, 41)',
    'rgb(0, 89, 179)',
    'rgb(153, 130, 0)',
    'rgb(255, 77, 77)',
    'rgb(127, 32, 150)'
  ]; 

  string[] private middleRight = [
    'rgb(20,20,20)',
    'rgb(128, 0, 0)',
    'rgb(31, 122, 31)',
    'rgb(0, 64, 128)',
    'rgb(179, 152, 0)',
    'rgb(255, 51, 51)',
    'rgb(98, 19, 117)'
  ]; 
  



  string[] private frequencies = [
    '',
    '0',
    '00'
  ]; 

        
  function generateString(string memory name, uint256 tokenId, string[] memory array) internal view returns (string memory) {

    uint rand = uint(keccak256(abi.encodePacked(name, toString(tokenId)))) % array.length;
    string memory output = string(abi.encodePacked(array[rand % array.length]));
    return output;

  }


  function generateColorNumber(string memory name, uint256 tokenId) internal view returns (uint) {

    uint output;
    uint rand = uint(keccak256(abi.encodePacked(name, toString(tokenId)))) % 100;

    if (keccak256(bytes(hashOfBlock)) == keccak256(bytes(''))) {
        output = 0; //unrevealed
    } else {
      if (rand <= 15) {
        output = 1; //Red with 15% rarity.
      } else if (rand > 15 && rand <= 30) {
        output = 2; //Green with 15% rarity.
      } else if (rand > 30 && rand <= 45) {
        output = 3; //Blue with 15% rarity.
      } else if (rand > 45 && rand <= 75) {
        output = 0; //Black with 30% rarity.
      } else if (rand > 75 && rand <= 80) {
        output = 4; //Gold with 5% rarity.
      } else if (rand > 80 && rand <= 90) {
        output = 5; //Rose with 10% rarity.
      } else if (rand > 90) {
        output = 6; //Purple with 10% rarity.
      }

    }
    return output;
  }


  function generateNum(string memory name, uint256 tokenId, string memory genVar, uint low, uint high) internal view returns (string memory) {

    uint difference = high - low;
    uint randomnumber = uint(keccak256(abi.encodePacked(genVar, tokenId, name))) % difference + 1;
    randomnumber = randomnumber + low;
    return toString(randomnumber);

  }

  function generateNumUint(string memory name, uint256 tokenId, string memory genVar, uint low, uint high) internal view returns (uint) {

    uint difference = high - low;
    uint randomnumber = uint(keccak256(abi.encodePacked(genVar, tokenId, name))) % difference + 1;
    randomnumber = randomnumber + low;
    return randomnumber;

  }


  function genDefs(uint256 tokenId) internal view returns (string memory) {

    string memory output;
    string memory xFrequency = generateString("xF", tokenId, frequencies);
    string memory yFrequency = generateString("yF", tokenId, frequencies);
    string memory scale = generateNum("scale", tokenId, hashOfBlock, 10, 40);

    if (keccak256(bytes(hashOfBlock)) == keccak256(bytes(''))) {
      xFrequency = '';
      yFrequency = '';
      scale = '30';
    }

    output = string(abi.encodePacked(
      '<defs><filter id="squares" x="-30%" y="-30%" width="160%" height="160%"> <feTurbulence type="turbulence" baseFrequency="',
      '0.',
      xFrequency,
      '5 0.',
      yFrequency,
      '5',
      '" numOctaves="10" seed="" result="turbulence"> <animate attributeName="seed" dur="0.3s" repeatCount="indefinite" calcMode="discrete" values="1;2;3;4;5;6;7;8;9;1"/> </feTurbulence> <feDisplacementMap in="SourceGraphic" in2="turbulence" scale="',
      scale,
      '" xChannelSelector="R" yChannelSelector="G" /> </filter> </defs>'
      ));
    return output;

  }
      

  function genMiddle(uint256 tokenId) internal view returns (string memory) {

    string memory translate = toString(divide(generateNumUint("scale", tokenId, hashOfBlock, 10, 40), 5, 0));
    string[5] memory p;

    if (keccak256(bytes(hashOfBlock)) == keccak256(bytes(''))) {
      translate = '6';
    }

    p[0] = '<style alt="surround"> #1 { stroke-dasharray: 50,50,150 }</style> <!-- translate below is equal to scale above divided by 5 --> <!-- x starts at 5, increments by 2 | width is equal to 100 - (2*x) --> <g style="filter: url(#squares);" opacity="100%" id="1"> <g transform="translate(-';
    p[1] = translate;
    p[2] = ', -';
    p[3] = translate;
    p[4] = ')" >';

    string memory output = string(abi.encodePacked(p[0], p[1], p[2], p[3], p[4]));
    return output;

  }



  function genSquares(uint256 tokenId) internal view returns (string memory) {

    string memory output1;
    string memory output2;
    uint ringCount = generateNumUint("ringCount", tokenId, hashOfBlock, 5, 15);
    string[2] memory xywh;
    uint ringScaling = divide(25, ringCount, 0);

    if (keccak256(bytes(hashOfBlock)) == keccak256(bytes(''))) {
      ringCount = 5;
      ringScaling = 5;
    }

    for (uint i = 0; i < ringCount; i++) {    
      xywh[0] = toString(ringScaling*i + 5);
      xywh[1] = toString(100 - (ringScaling*i + 5)*2);
      output1 = string(abi.encodePacked(
          '<g style="animation: glitch 1.',
          toString(i),
          's infinite;"> <rect x="',
          xywh[0],
          '%" y="',
          xywh[0],
          '%" width="',
          xywh[1],
          '%" height="',
          xywh[1],
          '%" fill="none" stroke="',
          left[generateColorNumber("color", tokenId)],
          '" id="1" /> </g>'
          ));
      output2 = string(abi.encodePacked(output1, output2));
    }
    return output2;
          
  }


  function genEnd(uint256 tokenId) internal view returns (string memory) {

    uint colorNum = generateColorNumber("color", tokenId);
    string[13] memory p;
    p[0] = '</g> </g> <!-- END SQUARES --> <g style="animation: glitch 0.5s infinite;filter: url(#squares);"> <g transform="scale(0.50) translate(370, 287)" style="opacity:40%"> <path fill="';
    p[1] = right[colorNum];
    p[2] = '" d="M125.166 285.168l2.795 2.79 127.962-75.638L127.961 0l-2.795 9.5z"/><path fill="';
    p[3] = left[colorNum];
    p[4] = '" d="M127.962 287.959V0L0 212.32z"/><path fill="';
    p[5] = right[colorNum];
    p[6] = '" d="M126.386 412.306l1.575 4.6L256 236.587l-128.038 75.6-1.575 1.92z"/><path fill="';
    p[7] = left[colorNum];
    p[8] = '" d="M0 236.585l127.962 180.32v-104.72z"/><path fill="';
    p[9] = middleRight[colorNum];
    p[10] = '" d="M127.961 154.159v133.799l127.96-75.637z"/><path fill="';
    p[11] = middleLeft[colorNum];
    p[12] = '" d="M127.96 154.159L0 212.32l127.96 75.637z"/> </g> </g> </svg>';
    string memory output = string(abi.encodePacked(p[0], p[1], p[2], p[3], p[4], p[5], p[6], p[7], p[8]));
    output = string(abi.encodePacked(output, p[9], p[10], p[11], p[12]));
    return output;

  }


  function generateDistortion(uint256 tokenId) public view returns (string memory) {

    string memory output;
    output = string(abi.encodePacked(
        '<svg width="750px" height="750px" viewBox="0 0 500 500" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" style="background-color: #101010;"> <!-- START BACKGROUND --> <style> @keyframes glitch { 0% {transform: translate(0px); opacity: 0.15;} 7% {transform: translate(2px); opacity: 0.65;} 45% {transform: translate(0px); opacity: 0.35;} 50% {transform: translate(-2px); opacity: 0.85;} 100% {transform: translate(0px); opacity: 0.25;} } </style> <defs> <filter id="background" x="-20%" y="-20%" width="140%" height="140%" filterUnits="objectBoundingBox" primitiveUnits="userSpaceOnUse" color-interpolation-filters="linearRGB"> <feTurbulence type="fractalNoise" baseFrequency="10" numOctaves="4" seed="1" stitchTiles="stitch" x="0%" y="0%" width="100%" height="100%" result="turbulence"> <animate attributeName="seed" dur="1s" repeatCount="indefinite" calcMode="discrete" values="1;2;3;4;5;6;7;8;9;10" /> </feTurbulence> <feSpecularLighting surfaceScale="10" specularExponent="10" lighting-color="#fff" width="100%" height="100%"> <animate attributeName="surfaceScale" dur="1s" repeatCount="indefinite" calcMode="discrete" values="10;11;12;13;14;15;14;13;12;11" /> <feDistantLight elevation="100"/> </feSpecularLighting> </filter> </defs> <g opacity="10%"> <rect width="700" height="700" fill="hsl(23, 0%, 100%)" filter="url(#background)"></rect> </g> <!-- END BACKGROUND --> <!-- START SQUARES -->',
        genDefs(tokenId),
        genMiddle(tokenId),
        genSquares(tokenId),
        genEnd(tokenId)
        ));
    return output;

  }
    
    
  function getFrequency(uint256 tokenId) internal view returns (uint) {

    uint[2] memory xy;
    string memory y = generateString("yF", tokenId, frequencies);
    string memory x = generateString("xF", tokenId, frequencies);

    if (keccak256(bytes(x)) == keccak256(bytes('0'))){
      xy[0] = 2;
    } else if (keccak256(bytes(x)) == keccak256(bytes('00'))){
      xy[0] = 1;
    } else {
      xy[0] = 3;
    }

    if (keccak256(bytes(y)) == keccak256(bytes('0'))){
      xy[1] = 2;
    } else if (keccak256(bytes(y)) == keccak256(bytes('00'))){
      xy[1] = 1;
    } else {
      xy[1] = 3;
    }
    return xy[0] * xy[1];

  }



  /**
  * @dev See {IERC721Metadata-tokenURI}.
  */
  function tokenURI(uint256 tokenId) override public view returns (string memory) {
    
    string memory ringCount = generateNum("ringCount", tokenId, hashOfBlock, 5, 15);
    string memory scale = generateNum("scale", tokenId, hashOfBlock, 10, 40);
    uint freq = getFrequency(tokenId);
    string memory unr;

    // if unrevealed
    if (keccak256(bytes(hashOfBlock)) == keccak256(bytes(''))) { scale = '0'; ringCount = '0'; unr = ' (Unrevealed)'; freq = 0;}

    string memory json = Base64.encode(bytes(string(abi.encodePacked('{"name": "Distortion #', toString(tokenId), unr,
    '","attributes": [ { "trait_type": "Color", "value": "',
    colorNames[generateColorNumber("color", tokenId)],
    '" }, { "trait_type": "Distortion Scale", "value": ',
    scale,
    ' }, { "trait_type": "Rings", "value": ', 
    ringCount,
    ' }, { "trait_type": "Frequency Multiple", "value": ', 
    toString(freq),
    ' }]',
    ', "description": "Distortion is a fully hand-typed 100% on-chain art collection limited to 1,000 pieces.", "image": "data:image/svg+xml;base64,',
    Base64.encode(bytes(string(abi.encodePacked(generateDistortion(tokenId))))),
    '"}'))));
    string memory output = string(abi.encodePacked('data:application/json;base64,', json));

    return output;

  }
	
	
  /**
    * @dev Converts a `uint256` to its ASCII `string` decimal representation.
    */
  function toString(uint256 value) internal pure returns (string memory) {
    // Inspired by OraclizeAPI's implementation - MIT licence
    // https://github.com/oraclize/ethereum-api/blob/b42146b063c7d6ee1358846c198246239e9360e8/oraclizeAPI_0.4.25.sol

    if (value == 0) {
        return "0";
    }
    uint256 temp = value;
    uint256 digits;
    while (temp != 0) {
        digits++;
        temp /= 10;
    }
    bytes memory buffer = new bytes(digits);
    while (value != 0) {
        digits -= 1;
        buffer[digits] = bytes1(uint8(48 + uint256(value % 10)));
        value /= 10;
    }
    return string(buffer);
  }


  function divide(uint a, uint b, uint precision) internal view returns ( uint) {
    return a*(10**precision)/b;
  }


  /**
  * @dev safety measure
  */
  modifier callerIsWallet() {
    require(tx.origin == msg.sender, "The caller is another contract");
    _;
  }


  function withdraw() public onlyOwner {
    uint256 balance = address(this).balance;
    Address.sendValue(payoutAddress, balance);
  }


  /**
  * @notice For the attributes to be revealed, the hash of the block of the final mint must be set so provenance can be verified.
  *
  */
  function getHash() public view returns (string memory) {
    return hashOfBlock;
  }


}


/// [MIT License]
/// @title Base64
/// @notice Provides a function for encoding some bytes in base64
/// @author Brecht Devos <brecht@loopring.org>
library Base64 {
    bytes internal constant TABLE = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/";

    /// @notice Encodes some bytes to the base64 representation
    function encode(bytes memory data) internal pure returns (string memory) {
        uint256 len = data.length;
        if (len == 0) return "";

        // multiply by 4/3 rounded up
        uint256 encodedLen = 4 * ((len + 2) / 3);

        // Add some extra buffer at the end
        bytes memory result = new bytes(encodedLen + 32);

        bytes memory table = TABLE;

        assembly {
            let tablePtr := add(table, 1)
            let resultPtr := add(result, 32)

            for {
                let i := 0
            } lt(i, len) {

            } {
                i := add(i, 3)
                let input := and(mload(add(data, i)), 0xffffff)

                let out := mload(add(tablePtr, and(shr(18, input), 0x3F)))
                out := shl(8, out)
                out := add(out, and(mload(add(tablePtr, and(shr(12, input), 0x3F))), 0xFF))
                out := shl(8, out)
                out := add(out, and(mload(add(tablePtr, and(shr(6, input), 0x3F))), 0xFF))
                out := shl(8, out)
                out := add(out, and(mload(add(tablePtr, and(input, 0x3F))), 0xFF))
                out := shl(224, out)

                mstore(resultPtr, out)

                resultPtr := add(resultPtr, 4)
            }

            switch mod(len, 3)
            case 1 {
                mstore(sub(resultPtr, 2), shl(240, 0x3d3d))
            }
            case 2 {
                mstore(sub(resultPtr, 1), shl(248, 0x3d))
            }

            mstore(result, encodedLen)
        }

        return string(result);
    }
}