// File: src/IAmTheOptimizor.sol



// SPDX-License-Identifier: MIT

// This was a weird idea I had at 1am but thought could be fun. This has not been tested very well
// nor optimized - cut me some slack. This is heavily inspired from the project "I Am The Chad".
//
// Goal: Create a smart contract (a "player") by implementing the IPlayer interface that uses the smallest
// size of bytecode and uses the smallest amount of gas to solve the problem.
//
// Problem: An array of length 10 will be pseudo randomly generated along with a target number `n`. Find the
// 3 indexes in the array where the values of the array at the 3 indexes sum up to `n`.
//
// e.g. inputArr = [1,2,3,4,5,6,7,8,11,15], n = 18.
// solution is [1,4,8] becaues inputArr[1] + inputArr[4] + inputArr[8] == 18.
//
// Constraints: The input array will always be length 10. All numbers in the inputArr are [0, 49]. ANY permutation
// of 3 indexes are allowed as long as they are all unique indexes and sum up to `n`. There will ALWAYS be a set of 3
// numbers that add up to `n`.
//
// Everytime you write a more optimized player contract, you get minted THE OPTIMIZOR NFT and the previous optimizor's
// NFT is burnt. There will always just be 1 holder - the current best optimizor.
//
// You get to mint the NFT by having the LOWEST score. score = bytecode_size + gasUsed().
//
// How to play:
// 1. Create a player contract by implementing IPLAYER.sol
// It is CRUCIAL to set the owner of the player contract to be the EOA you will be calling IAmTheOptimizor.sol from. We check to see
// msg.sender == player.owner() to prevent random ppl from using your code and cheating.
//
// 2. Implement solve(). The first argument is the inputArr and second arg is the target number. Return an array of length 3
// of the 3 indexes.
//
// 3. Once you finished your player contract, deploy your contract and call becomeTheOptimizor(player_contract_address) when you think
// you can beat the current best optimizor. NOTE: The txn WILL fail if your player is less optimized than the current optimizors
// that holds the NFT.
//
// Have fun!
/// @author: 0xBeans

pragma solidity ^0.8.13;

import "./IPlayer.sol";
import "openzeppelin/token/ERC721/ERC721.sol";
import "openzeppelin/access/Ownable.sol";

import {console} from "forge-std/console.sol";

contract IAmTheOptimizor is ERC721, Ownable {
    // used to generate random numbers in array
    uint256 public constant BIT_MASK_LENGTH = 10;
    uint256 public constant BIT_MASK = 2**BIT_MASK_LENGTH - 1;

    struct LowestPoints {
        address optimizor;
        uint64 bytecodeSize;
        uint64 gasUsage;
        uint64 totalScore;
    }

    // current best optimizor
    LowestPoints public lowestPoints;

    // history of optimizors
    address[] public hallOfFame;

    string internal _baseTokenUri;

    constructor() ERC721("I Am The Optimizor", "IAMTHEOPTIMIZOR") {
        // set to highest limits so first submission is new optimizor
        lowestPoints = LowestPoints(
            address(0),
            type(uint64).max,
            type(uint64).max,
            type(uint64).max
        );

        _mint(msg.sender, 1);
        hallOfFame.push(msg.sender);
    }

    function becomeTheOptimizor(address player) external {
        // check so players dont use other ppls code
        require(IPlayer(player).owner() == msg.sender, "not your player");

        // grab bytecode size
        uint256 size;
        assembly {
            size := extcodesize(player)
        }

        unchecked {
            // pseudo random number to seed the arrays
            uint256 seed = uint256(
                keccak256(
                    abi.encodePacked(
                        block.coinbase,
                        block.number,
                        block.timestamp,
                        size
                    )
                )
            );

            // generate random arrays using seed
            uint256[10] memory inputArr = constructProblemArray(seed);

            // we shift the seed by 100 bits because we used the first 100 bits
            // to see the inputArr. We want to use fresh bits to seed the index array
            uint256[3] memory indexesFor3Sum = constructIndexesFor3Sum(
                seed >> (BIT_MASK_LENGTH * 10)
            );

            // target sum for player, calculated from the generated arrays
            // we take our pseudo random indexes and sum up the values at the indexes
            // in the inputArr to get our desired target 'n' for the player
            uint256 desiredSum = inputArr[indexesFor3Sum[0]] +
                inputArr[indexesFor3Sum[1]] +
                inputArr[indexesFor3Sum[2]];

            // calculate gas usage of player
            uint256 startGas = gasleft();
            uint256[3] memory playerAnswerIndexes = IPlayer(player).solve(
                inputArr,
                desiredSum
            );
            uint256 gasUsed = startGas - gasleft();

            // cache
            LowestPoints memory currLowestPoints = lowestPoints;

            // new submission needs to be more optimized
            require(
                gasUsed + size < currLowestPoints.totalScore,
                "not optimized enough"
            );

            // check indexes are unique
            require(
                playerAnswerIndexes[0] != playerAnswerIndexes[1] &&
                    playerAnswerIndexes[0] != playerAnswerIndexes[2] &&
                    playerAnswerIndexes[1] != playerAnswerIndexes[2],
                "not unique indexes"
            );

            // check indexes actually lead to correct sum
            require(
                inputArr[playerAnswerIndexes[0]] +
                    inputArr[playerAnswerIndexes[1]] +
                    inputArr[playerAnswerIndexes[2]] ==
                    desiredSum,
                "incorrect answer"
            );

            // burn previous optimizors token and issue a new one to new optimizor
            _burn(1);
            _mint(msg.sender, 1);
            hallOfFame.push(msg.sender);

            // set new optimizor requirement
            lowestPoints = LowestPoints(
                msg.sender,
                uint64(size),
                uint64(gasUsed),
                uint64(size + gasUsed)
            );
        }
    }

    // seed the array with random numbers from [0, 49] by taking 10 bits
    // of the seed for every number and mod by 50 (we end up using 100 bits of the seed)
    function constructProblemArray(uint256 seed)
        public
        pure
        returns (uint256[10] memory arr)
    {
        unchecked {
            for (uint256 i = 0; i < 10; i++) {
                arr[i] = (seed & BIT_MASK) % 50;
                seed >>= BIT_MASK_LENGTH;
            }
        }
    }

    // this function pseudo randomly chooses the desired number we want
    // the player to figure out. We already have a pseudo random array of
    // 10 elements, and we want pseudo randomly choose 3 unique (index) elements.
    function constructIndexesFor3Sum(uint256 seed)
        public
        pure
        returns (uint256[3] memory arr)
    {
        unchecked {
            arr[0] = (seed & BIT_MASK) % 10;
            seed >>= BIT_MASK_LENGTH;

            // make sure indexes are unique
            // statistically, this loop shouldnt run much
            while (true) {
                arr[1] = (seed & BIT_MASK) % 10;
                seed >>= BIT_MASK_LENGTH;

                if (arr[1] != arr[0]) {
                    break;
                }
            }

            // make sure indexes are unique
            // statistically, this loop shouldnt run much
            while (true) {
                arr[2] = (seed & BIT_MASK) % 10;
                seed >>= BIT_MASK_LENGTH;

                if (arr[2] != arr[1] && arr[2] != arr[0]) {
                    break;
                }
            }
        }
    }

    function changeTokenURI(string calldata uri) external onlyOwner {
        _baseTokenUri = uri;
    }

    function tokenURI(uint256) public view override returns (string memory) {
        return _baseTokenUri;
    }
}

// File: src/IPlayer.sol



//SPDX-License-Identifier: MIT
pragma solidity ^0.8.13;

// interface players have to implement
interface IPlayer {
    // must be the EOA you will be calling the IAmTheOptimizor contract from.
    // this value is to check that no one else is using your code to play.
    function owner() external view returns (address);

    // implement this function and return an array of the 3 indexes (NOT the values)
    // from the inputArr that add up to n.
    // ALL INDEXES MUST BE UNIQUE
    function solve(uint256[10] calldata inputArr, uint256 n)
        external
        returns (uint256[3] calldata);
}

// File: lib/openzeppelin-contracts/contracts/token/ERC721/ERC721.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.7.0) (token/ERC721/ERC721.sol)

pragma solidity ^0.8.0;

import "./IERC721.sol";
import "./IERC721Receiver.sol";
import "./extensions/IERC721Metadata.sol";
import "../../utils/Address.sol";
import "../../utils/Context.sol";
import "../../utils/Strings.sol";
import "../../utils/introspection/ERC165.sol";

/**
 * @dev Implementation of https://eips.ethereum.org/EIPS/eip-721[ERC721] Non-Fungible Token Standard, including
 * the Metadata extension, but not including the Enumerable extension, which is available separately as
 * {ERC721Enumerable}.
 */
contract ERC721 is Context, ERC165, IERC721, IERC721Metadata {
    using Address for address;
    using Strings for uint256;

    // Token name
    string private _name;

    // Token symbol
    string private _symbol;

    // Mapping from token ID to owner address
    mapping(uint256 => address) private _owners;

    // Mapping owner address to token count
    mapping(address => uint256) private _balances;

    // 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 Initializes the contract by setting a `name` and a `symbol` to the token collection.
     */
    constructor(string memory name_, string memory symbol_) {
        _name = name_;
        _symbol = symbol_;
    }

    /**
     * @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 ||
            super.supportsInterface(interfaceId);
    }

    /**
     * @dev See {IERC721-balanceOf}.
     */
    function balanceOf(address owner) public view virtual override returns (uint256) {
        require(owner != address(0), "ERC721: address zero is not a valid owner");
        return _balances[owner];
    }

    /**
     * @dev See {IERC721-ownerOf}.
     */
    function ownerOf(uint256 tokenId) public view virtual override returns (address) {
        address owner = _ownerOf(tokenId);
        require(owner != address(0), "ERC721: invalid token ID");
        return owner;
    }

    /**
     * @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) {
        _requireMinted(tokenId);

        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 overridden in child contracts.
     */
    function _baseURI() internal view virtual returns (string memory) {
        return "";
    }

    /**
     * @dev See {IERC721-approve}.
     */
    function approve(address to, uint256 tokenId) public virtual override {
        address owner = ERC721.ownerOf(tokenId);
        require(to != owner, "ERC721: approval to current owner");

        require(
            _msgSender() == owner || isApprovedForAll(owner, _msgSender()),
            "ERC721: approve caller is not token owner or approved for all"
        );

        _approve(to, tokenId);
    }

    /**
     * @dev See {IERC721-getApproved}.
     */
    function getApproved(uint256 tokenId) public view virtual override returns (address) {
        _requireMinted(tokenId);

        return _tokenApprovals[tokenId];
    }

    /**
     * @dev See {IERC721-setApprovalForAll}.
     */
    function setApprovalForAll(address operator, bool approved) public virtual override {
        _setApprovalForAll(_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 {
        //solhint-disable-next-line max-line-length
        require(_isApprovedOrOwner(_msgSender(), tokenId), "ERC721: caller is not token owner or approved");

        _transfer(from, to, tokenId);
    }

    /**
     * @dev See {IERC721-safeTransferFrom}.
     */
    function safeTransferFrom(
        address from,
        address to,
        uint256 tokenId
    ) public virtual override {
        safeTransferFrom(from, to, tokenId, "");
    }

    /**
     * @dev See {IERC721-safeTransferFrom}.
     */
    function safeTransferFrom(
        address from,
        address to,
        uint256 tokenId,
        bytes memory data
    ) public virtual override {
        require(_isApprovedOrOwner(_msgSender(), tokenId), "ERC721: caller is not token owner or approved");
        _safeTransfer(from, to, tokenId, data);
    }

    /**
     * @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.
     *
     * `data` is additional data, it has no specified format and it is sent in call to `to`.
     *
     * This internal function is equivalent to {safeTransferFrom}, and can be used to e.g.
     * implement alternative mechanisms to perform token transfer, such as signature-based.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must exist and be owned by `from`.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function _safeTransfer(
        address from,
        address to,
        uint256 tokenId,
        bytes memory data
    ) internal virtual {
        _transfer(from, to, tokenId);
        require(_checkOnERC721Received(from, to, tokenId, data), "ERC721: transfer to non ERC721Receiver implementer");
    }

    /**
     * @dev Returns the owner of the `tokenId`. Does NOT revert if token doesn't exist
     */
    function _ownerOf(uint256 tokenId) internal view virtual returns (address) {
        return _owners[tokenId];
    }

    /**
     * @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`),
     * and stop existing when they are burned (`_burn`).
     */
    function _exists(uint256 tokenId) internal view virtual returns (bool) {
        return _ownerOf(tokenId) != address(0);
    }

    /**
     * @dev Returns whether `spender` is allowed to manage `tokenId`.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     */
    function _isApprovedOrOwner(address spender, uint256 tokenId) internal view virtual returns (bool) {
        address owner = ERC721.ownerOf(tokenId);
        return (spender == owner || isApprovedForAll(owner, spender) || getApproved(tokenId) == spender);
    }

    /**
     * @dev Safely mints `tokenId` and transfers it to `to`.
     *
     * Requirements:
     *
     * - `tokenId` must not exist.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function _safeMint(address to, uint256 tokenId) internal virtual {
        _safeMint(to, tokenId, "");
    }

    /**
     * @dev Same as {xref-ERC721-_safeMint-address-uint256-}[`_safeMint`], with an additional `data` parameter which is
     * forwarded in {IERC721Receiver-onERC721Received} to contract recipients.
     */
    function _safeMint(
        address to,
        uint256 tokenId,
        bytes memory data
    ) internal virtual {
        _mint(to, tokenId);
        require(
            _checkOnERC721Received(address(0), to, tokenId, data),
            "ERC721: transfer to non ERC721Receiver implementer"
        );
    }

    /**
     * @dev Mints `tokenId` and transfers it to `to`.
     *
     * WARNING: Usage of this method is discouraged, use {_safeMint} whenever possible
     *
     * Requirements:
     *
     * - `tokenId` must not exist.
     * - `to` cannot be the zero address.
     *
     * Emits a {Transfer} event.
     */
    function _mint(address to, uint256 tokenId) internal virtual {
        require(to != address(0), "ERC721: mint to the zero address");
        require(!_exists(tokenId), "ERC721: token already minted");

        _beforeTokenTransfer(address(0), to, tokenId);

        // Check that tokenId was not minted by `_beforeTokenTransfer` hook
        require(!_exists(tokenId), "ERC721: token already minted");

        unchecked {
            // Will not overflow unless all 2**256 token ids are minted to the same owner.
            // Given that tokens are minted one by one, it is impossible in practice that
            // this ever happens. Might change if we allow batch minting.
            // The ERC fails to describe this case.
            _balances[to] += 1;
        }

        _owners[tokenId] = to;

        emit Transfer(address(0), to, tokenId);

        _afterTokenTransfer(address(0), to, tokenId);
    }

    /**
     * @dev Destroys `tokenId`.
     * The approval is cleared when the token is burned.
     * This is an internal function that does not check if the sender is authorized to operate on the token.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     *
     * Emits a {Transfer} event.
     */
    function _burn(uint256 tokenId) internal virtual {
        address owner = ERC721.ownerOf(tokenId);

        _beforeTokenTransfer(owner, address(0), tokenId);

        // Update ownership in case tokenId was transferred by `_beforeTokenTransfer` hook
        owner = ERC721.ownerOf(tokenId);

        // Clear approvals
        delete _tokenApprovals[tokenId];

        unchecked {
            // Cannot overflow, as that would require more tokens to be burned/transferred
            // out than the owner initially received through minting and transferring in.
            _balances[owner] -= 1;
        }
        delete _owners[tokenId];

        emit Transfer(owner, address(0), tokenId);

        _afterTokenTransfer(owner, address(0), tokenId);
    }

    /**
     * @dev Transfers `tokenId` from `from` to `to`.
     *  As opposed to {transferFrom}, this imposes no restrictions on msg.sender.
     *
     * 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 {
        require(ERC721.ownerOf(tokenId) == from, "ERC721: transfer from incorrect owner");
        require(to != address(0), "ERC721: transfer to the zero address");

        _beforeTokenTransfer(from, to, tokenId);

        // Check that tokenId was not transferred by `_beforeTokenTransfer` hook
        require(ERC721.ownerOf(tokenId) == from, "ERC721: transfer from incorrect owner");

        // Clear approvals from the previous owner
        delete _tokenApprovals[tokenId];

        unchecked {
            // `_balances[from]` cannot overflow for the same reason as described in `_burn`:
            // `from`'s balance is the number of token held, which is at least one before the current
            // transfer.
            // `_balances[to]` could overflow in the conditions described in `_mint`. That would require
            // all 2**256 token ids to be minted, which in practice is impossible.
            _balances[from] -= 1;
            _balances[to] += 1;
        }
        _owners[tokenId] = to;

        emit Transfer(from, to, tokenId);

        _afterTokenTransfer(from, to, tokenId);
    }

    /**
     * @dev Approve `to` to operate on `tokenId`
     *
     * Emits an {Approval} event.
     */
    function _approve(address to, uint256 tokenId) internal virtual {
        _tokenApprovals[tokenId] = to;
        emit Approval(ERC721.ownerOf(tokenId), to, tokenId);
    }

    /**
     * @dev Approve `operator` to operate on all of `owner` tokens
     *
     * Emits an {ApprovalForAll} event.
     */
    function _setApprovalForAll(
        address owner,
        address operator,
        bool approved
    ) internal virtual {
        require(owner != operator, "ERC721: approve to caller");
        _operatorApprovals[owner][operator] = approved;
        emit ApprovalForAll(owner, operator, approved);
    }

    /**
     * @dev Reverts if the `tokenId` has not been minted yet.
     */
    function _requireMinted(uint256 tokenId) internal view virtual {
        require(_exists(tokenId), "ERC721: invalid token ID");
    }

    /**
     * @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.onERC721Received.selector;
            } catch (bytes memory reason) {
                if (reason.length == 0) {
                    revert("ERC721: transfer to non ERC721Receiver implementer");
                } else {
                    /// @solidity memory-safe-assembly
                    assembly {
                        revert(add(32, reason), mload(reason))
                    }
                }
            }
        } else {
            return true;
        }
    }

    /**
     * @dev Hook that is called before any (single) token transfer. This includes minting and burning.
     * See {_beforeConsecutiveTokenTransfer}.
     *
     * 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, ``from``'s `tokenId` will be burned.
     * - `from` and `to` are never both zero.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _beforeTokenTransfer(
        address from,
        address to,
        uint256 tokenId
    ) internal virtual {}

    /**
     * @dev Hook that is called after any (single) transfer of tokens. This includes minting and burning.
     * See {_afterConsecutiveTokenTransfer}.
     *
     * Calling conditions:
     *
     * - when `from` and `to` are both non-zero.
     * - `from` and `to` are never both zero.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _afterTokenTransfer(
        address from,
        address to,
        uint256 tokenId
    ) internal virtual {}

    /**
     * @dev Hook that is called before consecutive token transfers.
     * Calling conditions are similar to {_beforeTokenTransfer}.
     *
     * The default implementation include balances updates that extensions such as {ERC721Consecutive} cannot perform
     * directly.
     */
    function _beforeConsecutiveTokenTransfer(
        address from,
        address to,
        uint256, /*first*/
        uint96 size
    ) internal virtual {
        if (from != address(0)) {
            _balances[from] -= size;
        }
        if (to != address(0)) {
            _balances[to] += size;
        }
    }

    /**
     * @dev Hook that is called after consecutive token transfers.
     * Calling conditions are similar to {_afterTokenTransfer}.
     */
    function _afterConsecutiveTokenTransfer(
        address, /*from*/
        address, /*to*/
        uint256, /*first*/
        uint96 /*size*/
    ) internal virtual {}
}

// File: lib/openzeppelin-contracts/contracts/access/Ownable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.7.0) (access/Ownable.sol)

pragma solidity ^0.8.0;

import "../utils/Context.sol";

/**
 * @dev Contract module which provides a basic access control mechanism, where
 * there is an account (an owner) that can be granted exclusive access to
 * specific functions.
 *
 * 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() {
        _transferOwnership(_msgSender());
    }

    /**
     * @dev Throws if called by any account other than the owner.
     */
    modifier onlyOwner() {
        _checkOwner();
        _;
    }

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

    /**
     * @dev Throws if the sender is not the owner.
     */
    function _checkOwner() internal view virtual {
        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 {
        _transferOwnership(address(0));
    }

    /**
     * @dev Transfers ownership of the contract to a new account (`newOwner`).
     * Can only be called by the current owner.
     */
    function transferOwnership(address newOwner) public virtual onlyOwner {
        require(newOwner != address(0), "Ownable: new owner is the zero address");
        _transferOwnership(newOwner);
    }

    /**
     * @dev Transfers ownership of the contract to a new account (`newOwner`).
     * Internal function without access restriction.
     */
    function _transferOwnership(address newOwner) internal virtual {
        address oldOwner = _owner;
        _owner = newOwner;
        emit OwnershipTransferred(oldOwner, newOwner);
    }
}

// File: lib/forge-std/src/console.sol



// SPDX-License-Identifier: MIT
pragma solidity >=0.4.22 <0.9.0;

library console {
    address constant CONSOLE_ADDRESS = address(0x000000000000000000636F6e736F6c652e6c6f67);

    function _sendLogPayload(bytes memory payload) private view {
        uint256 payloadLength = payload.length;
        address consoleAddress = CONSOLE_ADDRESS;
        /// @solidity memory-safe-assembly
        assembly {
            let payloadStart := add(payload, 32)
            let r := staticcall(gas(), consoleAddress, payloadStart, payloadLength, 0, 0)
        }
    }

    function log() internal view {
        _sendLogPayload(abi.encodeWithSignature("log()"));
    }

    function logInt(int p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(int)", p0));
    }

    function logUint(uint p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint)", p0));
    }

    function logString(string memory p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string)", p0));
    }

    function logBool(bool p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool)", p0));
    }

    function logAddress(address p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address)", p0));
    }

    function logBytes(bytes memory p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes)", p0));
    }

    function logBytes1(bytes1 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes1)", p0));
    }

    function logBytes2(bytes2 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes2)", p0));
    }

    function logBytes3(bytes3 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes3)", p0));
    }

    function logBytes4(bytes4 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes4)", p0));
    }

    function logBytes5(bytes5 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes5)", p0));
    }

    function logBytes6(bytes6 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes6)", p0));
    }

    function logBytes7(bytes7 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes7)", p0));
    }

    function logBytes8(bytes8 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes8)", p0));
    }

    function logBytes9(bytes9 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes9)", p0));
    }

    function logBytes10(bytes10 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes10)", p0));
    }

    function logBytes11(bytes11 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes11)", p0));
    }

    function logBytes12(bytes12 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes12)", p0));
    }

    function logBytes13(bytes13 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes13)", p0));
    }

    function logBytes14(bytes14 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes14)", p0));
    }

    function logBytes15(bytes15 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes15)", p0));
    }

    function logBytes16(bytes16 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes16)", p0));
    }

    function logBytes17(bytes17 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes17)", p0));
    }

    function logBytes18(bytes18 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes18)", p0));
    }

    function logBytes19(bytes19 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes19)", p0));
    }

    function logBytes20(bytes20 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes20)", p0));
    }

    function logBytes21(bytes21 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes21)", p0));
    }

    function logBytes22(bytes22 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes22)", p0));
    }

    function logBytes23(bytes23 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes23)", p0));
    }

    function logBytes24(bytes24 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes24)", p0));
    }

    function logBytes25(bytes25 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes25)", p0));
    }

    function logBytes26(bytes26 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes26)", p0));
    }

    function logBytes27(bytes27 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes27)", p0));
    }

    function logBytes28(bytes28 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes28)", p0));
    }

    function logBytes29(bytes29 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes29)", p0));
    }

    function logBytes30(bytes30 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes30)", p0));
    }

    function logBytes31(bytes31 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes31)", p0));
    }

    function logBytes32(bytes32 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes32)", p0));
    }

    function log(uint p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint)", p0));
    }

    function log(string memory p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string)", p0));
    }

    function log(bool p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool)", p0));
    }

    function log(address p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address)", p0));
    }

    function log(uint p0, uint p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint)", p0, p1));
    }

    function log(uint p0, string memory p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string)", p0, p1));
    }

    function log(uint p0, bool p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool)", p0, p1));
    }

    function log(uint p0, address p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address)", p0, p1));
    }

    function log(string memory p0, uint p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint)", p0, p1));
    }

    function log(string memory p0, string memory p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string)", p0, p1));
    }

    function log(string memory p0, bool p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool)", p0, p1));
    }

    function log(string memory p0, address p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address)", p0, p1));
    }

    function log(bool p0, uint p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint)", p0, p1));
    }

    function log(bool p0, string memory p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string)", p0, p1));
    }

    function log(bool p0, bool p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool)", p0, p1));
    }

    function log(bool p0, address p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address)", p0, p1));
    }

    function log(address p0, uint p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint)", p0, p1));
    }

    function log(address p0, string memory p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string)", p0, p1));
    }

    function log(address p0, bool p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool)", p0, p1));
    }

    function log(address p0, address p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address)", p0, p1));
    }

    function log(uint p0, uint p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,uint)", p0, p1, p2));
    }

    function log(uint p0, uint p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,string)", p0, p1, p2));
    }

    function log(uint p0, uint p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,bool)", p0, p1, p2));
    }

    function log(uint p0, uint p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,address)", p0, p1, p2));
    }

    function log(uint p0, string memory p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,uint)", p0, p1, p2));
    }

    function log(uint p0, string memory p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,string)", p0, p1, p2));
    }

    function log(uint p0, string memory p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,bool)", p0, p1, p2));
    }

    function log(uint p0, string memory p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,address)", p0, p1, p2));
    }

    function log(uint p0, bool p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,uint)", p0, p1, p2));
    }

    function log(uint p0, bool p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,string)", p0, p1, p2));
    }

    function log(uint p0, bool p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,bool)", p0, p1, p2));
    }

    function log(uint p0, bool p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,address)", p0, p1, p2));
    }

    function log(uint p0, address p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,uint)", p0, p1, p2));
    }

    function log(uint p0, address p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,string)", p0, p1, p2));
    }

    function log(uint p0, address p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,bool)", p0, p1, p2));
    }

    function log(uint p0, address p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,address)", p0, p1, p2));
    }

    function log(string memory p0, uint p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,uint)", p0, p1, p2));
    }

    function log(string memory p0, uint p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,string)", p0, p1, p2));
    }

    function log(string memory p0, uint p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,bool)", p0, p1, p2));
    }

    function log(string memory p0, uint p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,address)", p0, p1, p2));
    }

    function log(string memory p0, string memory p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,uint)", p0, p1, p2));
    }

    function log(string memory p0, string memory p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,string)", p0, p1, p2));
    }

    function log(string memory p0, string memory p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,bool)", p0, p1, p2));
    }

    function log(string memory p0, string memory p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,address)", p0, p1, p2));
    }

    function log(string memory p0, bool p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,uint)", p0, p1, p2));
    }

    function log(string memory p0, bool p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,string)", p0, p1, p2));
    }

    function log(string memory p0, bool p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,bool)", p0, p1, p2));
    }

    function log(string memory p0, bool p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,address)", p0, p1, p2));
    }

    function log(string memory p0, address p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,uint)", p0, p1, p2));
    }

    function log(string memory p0, address p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,string)", p0, p1, p2));
    }

    function log(string memory p0, address p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,bool)", p0, p1, p2));
    }

    function log(string memory p0, address p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,address)", p0, p1, p2));
    }

    function log(bool p0, uint p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,uint)", p0, p1, p2));
    }

    function log(bool p0, uint p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,string)", p0, p1, p2));
    }

    function log(bool p0, uint p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,bool)", p0, p1, p2));
    }

    function log(bool p0, uint p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,address)", p0, p1, p2));
    }

    function log(bool p0, string memory p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,uint)", p0, p1, p2));
    }

    function log(bool p0, string memory p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,string)", p0, p1, p2));
    }

    function log(bool p0, string memory p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,bool)", p0, p1, p2));
    }

    function log(bool p0, string memory p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,address)", p0, p1, p2));
    }

    function log(bool p0, bool p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint)", p0, p1, p2));
    }

    function log(bool p0, bool p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,string)", p0, p1, p2));
    }

    function log(bool p0, bool p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool)", p0, p1, p2));
    }

    function log(bool p0, bool p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,address)", p0, p1, p2));
    }

    function log(bool p0, address p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,uint)", p0, p1, p2));
    }

    function log(bool p0, address p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,string)", p0, p1, p2));
    }

    function log(bool p0, address p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,bool)", p0, p1, p2));
    }

    function log(bool p0, address p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,address)", p0, p1, p2));
    }

    function log(address p0, uint p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,uint)", p0, p1, p2));
    }

    function log(address p0, uint p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,string)", p0, p1, p2));
    }

    function log(address p0, uint p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,bool)", p0, p1, p2));
    }

    function log(address p0, uint p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,address)", p0, p1, p2));
    }

    function log(address p0, string memory p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,uint)", p0, p1, p2));
    }

    function log(address p0, string memory p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,string)", p0, p1, p2));
    }

    function log(address p0, string memory p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,bool)", p0, p1, p2));
    }

    function log(address p0, string memory p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,address)", p0, p1, p2));
    }

    function log(address p0, bool p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,uint)", p0, p1, p2));
    }

    function log(address p0, bool p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,string)", p0, p1, p2));
    }

    function log(address p0, bool p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,bool)", p0, p1, p2));
    }

    function log(address p0, bool p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,address)", p0, p1, p2));
    }

    function log(address p0, address p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,uint)", p0, p1, p2));
    }

    function log(address p0, address p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,string)", p0, p1, p2));
    }

    function log(address p0, address p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,bool)", p0, p1, p2));
    }

    function log(address p0, address p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,address)", p0, p1, p2));
    }

    function log(uint p0, uint p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,uint,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,uint,string)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,uint,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,uint,address)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,string,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,string,string)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,string,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,string,address)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,bool,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,bool,string)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,bool,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,bool,address)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,address,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,address,string)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,address,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,address,address)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,uint,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,uint,string)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,uint,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,uint,address)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,string,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,string,string)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,string,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,string,address)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,bool,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,bool,string)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,bool,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,bool,address)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,address,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,address,string)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,address,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,address,address)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,uint,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,uint,string)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,uint,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,uint,address)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,string,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,string,string)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,string,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,string,address)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,bool,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,bool,string)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,bool,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,bool,address)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,address,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,address,string)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,address,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,address,address)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,uint,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,uint,string)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,uint,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,uint,address)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,string,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,string,string)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,string,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,string,address)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,bool,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,bool,string)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,bool,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,bool,address)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,address,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,address,string)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,address,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,address,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,uint,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,uint,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,uint,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,uint,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,string,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,string,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,string,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,string,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,bool,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,bool,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,bool,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,bool,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,address,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,address,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,address,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,address,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,uint,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,uint,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,uint,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,uint,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,string,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,string,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,string,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,string,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,bool,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,bool,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,bool,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,bool,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,address,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,address,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,address,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,address,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,uint,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,uint,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,uint,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,uint,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,string,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,string,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,string,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,string,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,address,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,address,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,address,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,address,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,uint,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,uint,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,uint,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,uint,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,string,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,string,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,string,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,string,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,bool,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,bool,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,bool,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,bool,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,address,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,address,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,address,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,address,address)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,uint,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,uint,string)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,uint,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,uint,address)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,string,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,string,string)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,string,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,string,address)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,bool,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,bool,string)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,bool,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,bool,address)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,address,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,address,string)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,address,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,address,address)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,uint,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,uint,string)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,uint,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,uint,address)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,string,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,string,string)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,string,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,string,address)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,string)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,address)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,address,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,address,string)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,address,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,address,address)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint,string)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint,address)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,string)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,address)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,string)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,address)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,string)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,address)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,uint,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,uint,string)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,uint,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,uint,address)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,string,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,string,string)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,string,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,string,address)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,string)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,address)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,address,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,address,string)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,address,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,address,address)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,uint,uint)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,uint,string)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,uint,bool)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,uint,address)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,string,uint)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,string,string)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,string,bool)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,string,address)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,bool,uint)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,bool,string)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,bool,bool)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,bool,address)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,address,uint)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,address,string)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,address,bool)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,address,address)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,uint,uint)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,uint,string)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,uint,bool)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,uint,address)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,string,uint)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,string,string)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,string,bool)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,string,address)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,bool,uint)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,bool,string)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,bool,bool)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,bool,address)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,address,uint)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,address,string)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,address,bool)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,address,address)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,uint,uint)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,uint,string)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,uint,bool)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,uint,address)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,string,uint)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,string,string)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,string,bool)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,string,address)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,uint)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,string)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,bool)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,address)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,address,uint)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,address,string)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,address,bool)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,address,address)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,uint,uint)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,uint,string)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,uint,bool)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,uint,address)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,string,uint)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,string,string)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,string,bool)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,string,address)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,bool,uint)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,bool,string)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,bool,bool)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,bool,address)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,address,uint)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,address,string)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,address,bool)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,address,address)", p0, p1, p2, p3));
    }

}
// File: lib/openzeppelin-contracts/contracts/token/ERC721/IERC721.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.7.0) (token/ERC721/IERC721.sol)

pragma solidity ^0.8.0;

import "../../utils/introspection/IERC165.sol";

/**
 * @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`.
     *
     * 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;

    /**
     * @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 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: Note that the caller is responsible to confirm that the recipient is capable of receiving ERC721
     * or else they may be permanently lost. Usage of {safeTransferFrom} prevents loss, though the caller must
     * understand this adds an external call which potentially creates a reentrancy vulnerability.
     *
     * 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 Approve or remove `operator` as an operator for the caller.
     * Operators can call {transferFrom} or {safeTransferFrom} for any token owned by the caller.
     *
     * Requirements:
     *
     * - The `operator` cannot be the caller.
     *
     * Emits an {ApprovalForAll} event.
     */
    function setApprovalForAll(address operator, bool _approved) external;

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

    /**
     * @dev Returns if the `operator` is allowed to manage all of the assets of `owner`.
     *
     * See {setApprovalForAll}
     */
    function isApprovedForAll(address owner, address operator) external view returns (bool);
}

// File: lib/openzeppelin-contracts/contracts/token/ERC721/IERC721Receiver.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.6.0) (token/ERC721/IERC721Receiver.sol)

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 `IERC721Receiver.onERC721Received.selector`.
     */
    function onERC721Received(
        address operator,
        address from,
        uint256 tokenId,
        bytes calldata data
    ) external returns (bytes4);
}

// File: lib/openzeppelin-contracts/contracts/token/ERC721/extensions/IERC721Metadata.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (token/ERC721/extensions/IERC721Metadata.sol)

pragma solidity ^0.8.0;

import "../IERC721.sol";

/**
 * @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);
}

// File: lib/openzeppelin-contracts/contracts/utils/Address.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.7.0) (utils/Address.sol)

pragma solidity ^0.8.1;

/**
 * @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
     * ====
     *
     * [IMPORTANT]
     * ====
     * You shouldn't rely on `isContract` to protect against flash loan attacks!
     *
     * Preventing calls from contracts is highly discouraged. It breaks composability, breaks support for smart wallets
     * like Gnosis Safe, and does not provide security since it can be circumvented by calling from a contract
     * constructor.
     * ====
     */
    function isContract(address account) internal view returns (bool) {
        // This method relies on extcodesize/address.code.length, which returns 0
        // for contracts in construction, since the code is only stored at the end
        // of the constructor execution.

        return account.code.length > 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 functionCallWithValue(target, data, 0, "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");
        (bool success, bytes memory returndata) = target.call{value: value}(data);
        return verifyCallResultFromTarget(target, 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) {
        (bool success, bytes memory returndata) = target.staticcall(data);
        return verifyCallResultFromTarget(target, 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) {
        (bool success, bytes memory returndata) = target.delegatecall(data);
        return verifyCallResultFromTarget(target, success, returndata, errorMessage);
    }

    /**
     * @dev Tool to verify that a low level call to smart-contract was successful, and revert (either by bubbling
     * the revert reason or using the provided one) in case of unsuccessful call or if target was not a contract.
     *
     * _Available since v4.8._
     */
    function verifyCallResultFromTarget(
        address target,
        bool success,
        bytes memory returndata,
        string memory errorMessage
    ) internal view returns (bytes memory) {
        if (success) {
            if (returndata.length == 0) {
                // only check isContract if the call was successful and the return data is empty
                // otherwise we already know that it was a contract
                require(isContract(target), "Address: call to non-contract");
            }
            return returndata;
        } else {
            _revert(returndata, errorMessage);
        }
    }

    /**
     * @dev Tool to verify that a low level call was successful, and revert if it wasn't, either by bubbling the
     * revert reason or using the provided one.
     *
     * _Available since v4.3._
     */
    function verifyCallResult(
        bool success,
        bytes memory returndata,
        string memory errorMessage
    ) internal pure returns (bytes memory) {
        if (success) {
            return returndata;
        } else {
            _revert(returndata, errorMessage);
        }
    }

    function _revert(bytes memory returndata, string memory errorMessage) private pure {
        // 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
            /// @solidity memory-safe-assembly
            assembly {
                let returndata_size := mload(returndata)
                revert(add(32, returndata), returndata_size)
            }
        } else {
            revert(errorMessage);
        }
    }
}

// File: lib/openzeppelin-contracts/contracts/utils/Context.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/Context.sol)

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;
    }
}

// File: lib/openzeppelin-contracts/contracts/utils/Strings.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.7.0) (utils/Strings.sol)

pragma solidity ^0.8.0;

import "./math/Math.sol";

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

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

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

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

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

// File: lib/openzeppelin-contracts/contracts/utils/introspection/ERC165.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/introspection/ERC165.sol)

pragma solidity ^0.8.0;

import "./IERC165.sol";

/**
 * @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;
    }
}

// File: lib/openzeppelin-contracts/contracts/utils/introspection/IERC165.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/introspection/IERC165.sol)

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC165 standard, as defined in the
 * https://eips.ethereum.org/EIPS/eip-165[EIP].
 *
 * Implementers can declare support of contract interfaces, which can then be
 * queried by others ({ERC165Checker}).
 *
 * For an implementation, see {ERC165}.
 */
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);
}

// File: lib/openzeppelin-contracts/contracts/utils/math/Math.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.7.0) (utils/math/Math.sol)

pragma solidity ^0.8.0;

/**
 * @dev Standard math utilities missing in the Solidity language.
 */
library Math {
    enum Rounding {
        Down, // Toward negative infinity
        Up, // Toward infinity
        Zero // Toward zero
    }

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

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

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

    /**
     * @dev Returns the ceiling of the division of two numbers.
     *
     * This differs from standard division with `/` in that it rounds up instead
     * of rounding down.
     */
    function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) {
        // (a + b - 1) / b can overflow on addition, so we distribute.
        return a == 0 ? 0 : (a - 1) / b + 1;
    }

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

            // Handle non-overflow cases, 256 by 256 division.
            if (prod1 == 0) {
                return prod0 / denominator;
            }

            // Make sure the result is less than 2^256. Also prevents denominator == 0.
            require(denominator > prod1);

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

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

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

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

            // Does not overflow because the denominator cannot be zero at this stage in the function.
            uint256 twos = denominator & (~denominator + 1);
            assembly {
                // Divide denominator by twos.
                denominator := div(denominator, twos)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

    /**
     * @dev Return the log in base 10, following the selected rounding direction, of a positive value.
     * Returns 0 if given 0.
     */
    function log256(uint256 value, Rounding rounding) internal pure returns (uint256) {
        unchecked {
            uint256 result = log256(value);
            return result + (rounding == Rounding.Up && 1 << (result * 8) < value ? 1 : 0);
        }
    }
}