// File: contracts/MMDutchAuction.sol



//SPDX-License-Identifier: Unlicense
pragma solidity ^0.8.0;
// import "@openzeppelin/contracts/access/Ownable.sol";
import "@divergencetech/ethier/contracts/sales/LinearDutchAuction.sol";
import "@openzeppelin/contracts/security/Pausable.sol";
import "./interfaces/IMMNFT.sol";

contract MMDutchAuction is LinearDutchAuction
{
    IMMNFT nft;
    constructor(
        address payable beneficiary
    )
        LinearDutchAuction(
            LinearDutchAuction.DutchAuctionConfig({
                startPoint: 0, // disabled at deployment
                startPrice: 1.5 ether,
                unit: AuctionIntervalUnit.Time,
                decreaseInterval: 360,
                decreaseSize: 0.01 ether,
                numDecreases: 135
            }),
            0.15 ether,
            Seller.SellerConfig({
                totalInventory: 6080,
                lockTotalInventory: true,
                maxPerAddress: 12,
                maxPerTx: 12,
                freeQuota: 0,
                lockFreeQuota: true,
                reserveFreeQuota: true
            }),
            beneficiary
        )
    {}

    /// LinearDutchAuction Required Functions
    /// @notice Entry point for purchase of a single token.
    function buy(uint256 count) external payable whenNotPaused {
        Seller._purchase(msg.sender, count);
    }

    /// @notice Internal override of Seller function for handling purchase (i.e. minting).
    function _handlePurchase(
        address to,
        uint256 num,
        bool
    ) internal override {
        nft.adminMint(num, to);
    }

    function setNFT(IMMNFT _nft) external onlyOwner {
        nft = _nft;
    }
}

// File: @divergencetech/ethier/contracts/sales/LinearDutchAuction.sol



// SPDX-License-Identifier: MIT
// Copyright (c) 2021 the ethier authors (github.com/divergencetech/ethier)
pragma solidity >=0.8.0 <0.9.0;

import "./Seller.sol";
import "@openzeppelin/contracts/utils/math/Math.sol";

/// @notice A Seller with a linearly decreasing price.
abstract contract LinearDutchAuction is Seller {
    /**
    @param unit The unit of "time" used for decreasing prices, block number or
    timestamp. NOTE: See the comment on AuctionIntervalUnit re use of Time as a
    unit.
    @param startPoint The block or timestamp at which the auction opens. A value
    of zero disables the auction. See setAuctionStartPoint().
    @param startPrice The price at `startPoint`.
    @param decreaseInterval The number of units to wait before decreasing the
    price. MUST be non-zero.
    @param decreaseSize The amount by which price decreases after every
    `decreaseInterval`.
    @param numDecreases The maximum number of price decreases before remaining
    constant. The reserve price is therefore implicit and equal to
    startPrice-numDecrease*decreaseSize.
     */
    struct DutchAuctionConfig {
        uint256 startPoint;
        uint256 startPrice;
        uint256 decreaseInterval;
        uint256 decreaseSize;
        // From https://docs.soliditylang.org/en/v0.8.10/types.html#enums "Enums
        // cannot have more than 256 members"; presumably they take 8 bits, so
        // use some of the numDecreases space instead.
        uint248 numDecreases;
        AuctionIntervalUnit unit;
    }

    /**
    @notice The unit of "time" along which the cost decreases.
    @dev If no value is provided then the zero UNSPECIFIED will trigger an
    error.

    NOTE: The Block unit is more reliable as it has an explicit progression
    (simply incrementing). Miners are allowed to have a time drift into the
    future although which predisposes to unexpected behaviour by which "future"
    costs are encountered. See the ConsenSys 15-second rule:
    https://consensys.net/blog/developers/solidity-best-practices-for-smart-contract-security/
     */
    enum AuctionIntervalUnit {
        UNSPECIFIED,
        Block,
        Time
    }

    /// @param expectedReserve See setAuctionConfig().
    constructor(
        DutchAuctionConfig memory config,
        uint256 expectedReserve,
        Seller.SellerConfig memory sellerConfig,
        address payable _beneficiary
    ) Seller(sellerConfig, _beneficiary) {
        setAuctionConfig(config, expectedReserve);
    }

    /// @notice Configuration of price changes.
    DutchAuctionConfig public dutchAuctionConfig;

    /**
    @notice Sets the auction config.
    @param expectedReserve A safety check that the reserve, as calculated from
    the config, is as expected.
     */
    function setAuctionConfig(
        DutchAuctionConfig memory config,
        uint256 expectedReserve
    ) public onlyOwner {
        // Underflow might occur is size/num decreases is too large.
        unchecked {
            require(
                config.startPrice - config.decreaseSize * config.numDecreases ==
                    expectedReserve,
                "LinearDutchAuction: incorrect reserve"
            );
        }
        require(
            config.unit != AuctionIntervalUnit.UNSPECIFIED,
            "LinearDutchAuction: unspecified unit"
        );
        require(
            config.decreaseInterval > 0,
            "LinearDutchAuction: zero decrease interval"
        );
        dutchAuctionConfig = config;
    }

    /**
    @notice Sets the config startPoint. A startPoint of zero disables the
    auction.
    @dev The auction can be toggle on and off with this function, without the
    cost of having to update the entire config.
     */
    function setAuctionStartPoint(uint256 startPoint) public onlyOwner {
        dutchAuctionConfig.startPoint = startPoint;
    }

    /// @notice Override of Seller.cost() with Dutch-auction logic.
    function cost(uint256 n) public view override returns (uint256) {
        DutchAuctionConfig storage cfg = dutchAuctionConfig;

        uint256 current;
        if (cfg.unit == AuctionIntervalUnit.Block) {
            current = block.number;
        } else if (cfg.unit == AuctionIntervalUnit.Time) {
            current = block.timestamp;
        }

        require(
            cfg.startPoint != 0 && current >= cfg.startPoint,
            "LinearDutchAuction: Not started"
        );

        uint256 decreases = Math.min(
            (current - cfg.startPoint) / cfg.decreaseInterval,
            cfg.numDecreases
        );
        return n * (cfg.startPrice - decreases * cfg.decreaseSize);
    }
}

// File: @openzeppelin/contracts/security/Pausable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (security/Pausable.sol)

pragma solidity ^0.8.0;

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

/**
 * @dev Contract module which allows children to implement an emergency stop
 * mechanism that can be triggered by an authorized account.
 *
 * This module is used through inheritance. It will make available the
 * modifiers `whenNotPaused` and `whenPaused`, which can be applied to
 * the functions of your contract. Note that they will not be pausable by
 * simply including this module, only once the modifiers are put in place.
 */
abstract contract Pausable is Context {
    /**
     * @dev Emitted when the pause is triggered by `account`.
     */
    event Paused(address account);

    /**
     * @dev Emitted when the pause is lifted by `account`.
     */
    event Unpaused(address account);

    bool private _paused;

    /**
     * @dev Initializes the contract in unpaused state.
     */
    constructor() {
        _paused = false;
    }

    /**
     * @dev Returns true if the contract is paused, and false otherwise.
     */
    function paused() public view virtual returns (bool) {
        return _paused;
    }

    /**
     * @dev Modifier to make a function callable only when the contract is not paused.
     *
     * Requirements:
     *
     * - The contract must not be paused.
     */
    modifier whenNotPaused() {
        require(!paused(), "Pausable: paused");
        _;
    }

    /**
     * @dev Modifier to make a function callable only when the contract is paused.
     *
     * Requirements:
     *
     * - The contract must be paused.
     */
    modifier whenPaused() {
        require(paused(), "Pausable: not paused");
        _;
    }

    /**
     * @dev Triggers stopped state.
     *
     * Requirements:
     *
     * - The contract must not be paused.
     */
    function _pause() internal virtual whenNotPaused {
        _paused = true;
        emit Paused(_msgSender());
    }

    /**
     * @dev Returns to normal state.
     *
     * Requirements:
     *
     * - The contract must be paused.
     */
    function _unpause() internal virtual whenPaused {
        _paused = false;
        emit Unpaused(_msgSender());
    }
}

// File: contracts/interfaces/IMMNFT.sol



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

interface IMMNFT {
    function adminMint(uint256 count, address to) external;
    function burn(uint256 tokenId) external;
    function totalSupply() external view returns (uint256);
    function supply() external view returns (uint256);
    function tokenByIndex(uint256 index) external view returns (uint256);
    function tokenOfOwnerByIndex(address owner, uint256 index) external view returns (uint256);
    function balanceOf(address owner) external view returns (uint256);
    function ownerOf(uint256 tokenId) external view returns (address);
    function tokenURI(uint256 tokenId) external view returns (string memory);
    function safeTransferFrom(
        address from,
        address to,
        uint256 tokenId
    ) external;
}
// File: @divergencetech/ethier/contracts/sales/Seller.sol



// SPDX-License-Identifier: MIT
// Copyright (c) 2021 the ethier authors (github.com/divergencetech/ethier)
pragma solidity >=0.8.0 <0.9.0;

import "../utils/Monotonic.sol";
import "../utils/OwnerPausable.sol";
import "@openzeppelin/contracts/security/ReentrancyGuard.sol";
import "@openzeppelin/contracts/utils/Address.sol";
import "@openzeppelin/contracts/utils/Context.sol";
import "@openzeppelin/contracts/utils/math/Math.sol";
import "@openzeppelin/contracts/utils/Strings.sol";

/**
@notice An abstract contract providing the _purchase() function to:
 - Enforce per-wallet / per-transaction limits
 - Calculate required cost, forwarding to a beneficiary, and refunding extra
 */
abstract contract Seller is OwnerPausable, ReentrancyGuard {
    using Address for address payable;
    using Monotonic for Monotonic.Increaser;
    using Strings for uint256;

    /**
    @dev Note that the address limits are vulnerable to wallet farming.
    @param maxPerAddress Unlimited if zero.
    @param maxPerTex Unlimited if zero.
    @param freeQuota Maximum number that can be purchased free of charge by
    the contract owner.
    @param reserveFreeQuota Whether to excplitly reserve the freeQuota amount
    and not let it be eroded by regular purchases.
    @param lockFreeQuota If true, calls to setSellerConfig() will ignore changes
    to freeQuota. Can be locked after initial setting, but not unlocked. This
    allows a contract owner to commit to a maximum number of reserved items.
    @param lockTotalInventory Similar to lockFreeQuota but applied to
    totalInventory.
    */
    struct SellerConfig {
        uint256 totalInventory;
        uint256 maxPerAddress;
        uint256 maxPerTx;
        uint248 freeQuota;
        bool reserveFreeQuota;
        bool lockFreeQuota;
        bool lockTotalInventory;
    }

    constructor(SellerConfig memory config, address payable _beneficiary) {
        setSellerConfig(config);
        setBeneficiary(_beneficiary);
    }

    /// @notice Configuration of purchase limits.
    SellerConfig public sellerConfig;

    /// @notice Sets the seller config.
    function setSellerConfig(SellerConfig memory config) public onlyOwner {
        require(
            config.totalInventory >= config.freeQuota,
            "Seller: excessive free quota"
        );
        require(
            config.totalInventory >= _totalSold.current(),
            "Seller: inventory < already sold"
        );
        require(
            config.freeQuota >= purchasedFreeOfCharge.current(),
            "Seller: free quota < already used"
        );

        // Overriding the in-memory fields before copying the whole struct, as
        // against writing individual fields, gives a greater guarantee of
        // correctness as the code is simpler to read.
        if (sellerConfig.lockTotalInventory) {
            config.lockTotalInventory = true;
            config.totalInventory = sellerConfig.totalInventory;
        }
        if (sellerConfig.lockFreeQuota) {
            config.lockFreeQuota = true;
            config.freeQuota = sellerConfig.freeQuota;
        }
        sellerConfig = config;
    }

    /// @notice Recipient of revenues.
    address payable public beneficiary;

    /// @notice Sets the recipient of revenues.
    function setBeneficiary(address payable _beneficiary) public onlyOwner {
        beneficiary = _beneficiary;
    }

    /**
    @dev Must return the current cost of a batch of items. This may be constant
    or, for example, decreasing for a Dutch auction or increasing for a bonding
    curve.
    @param n The number of items being purchased.
     */
    function cost(uint256 n) public view virtual returns (uint256);

    /**
    @dev Called by both _purchase() and purchaseFreeOfCharge() after all limits
    have been put in place; must perform all contract-specific sale logic, e.g.
    ERC721 minting. When _handlePurchase() is called, the value returned by
    Seller.totalSold() will be the pre-purchase amount.
    @param to The recipient of the item(s).
    @param n The number of items allowed to be purchased, which MAY be less than
    to the number passed to _purchase() but SHALL be greater than zero.
    @param freeOfCharge Indicates that the call originated from
    purchaseFreeOfCharge() and not _purchase().
    */
    function _handlePurchase(
        address to,
        uint256 n,
        bool freeOfCharge
    ) internal virtual;

    /**
    @notice Tracks total number of items sold by this contract, including those
    purchased free of charge by the contract owner.
     */
    Monotonic.Increaser private _totalSold;

    /// @notice Returns the total number of items sold by this contract.
    function totalSold() public view returns (uint256) {
        return _totalSold.current();
    }

    /**
    @notice Tracks the number of items already bought by an address, regardless
    of transferring out (in the case of ERC721).
    @dev This isn't public as it may be skewed due to differences in msg.sender
    and tx.origin, which it treats in the same way such that
    sum(_bought)>=totalSold().
     */
    mapping(address => uint256) private _bought;

    /**
    @notice Returns min(n, max(extra items addr can purchase)) and reverts if 0.
    @param zeroMsg The message with which to revert on 0 extra.
     */
    function _capExtra(
        uint256 n,
        address addr,
        string memory zeroMsg
    ) internal view returns (uint256) {
        uint256 extra = sellerConfig.maxPerAddress - _bought[addr];
        if (extra == 0) {
            revert(string(abi.encodePacked("Seller: ", zeroMsg)));
        }
        return Math.min(n, extra);
    }

    /// @notice Emitted when a buyer is refunded.
    event Refund(address indexed buyer, uint256 amount);

    /// @notice Emitted on all purchases of non-zero amount.
    event Revenue(
        address indexed beneficiary,
        uint256 numPurchased,
        uint256 amount
    );

    /// @notice Tracks number of items purchased free of charge.
    Monotonic.Increaser private purchasedFreeOfCharge;

    /**
    @notice Allows the contract owner to purchase without payment, within the
    quota enforced by the SellerConfig.
     */
    function purchaseFreeOfCharge(address to, uint256 n)
        public
        onlyOwner
        whenNotPaused
    {
        uint256 freeQuota = sellerConfig.freeQuota;
        n = Math.min(n, freeQuota - purchasedFreeOfCharge.current());
        require(n > 0, "Seller: Free quota exceeded");

        uint256 totalInventory = sellerConfig.totalInventory;
        n = Math.min(n, totalInventory - _totalSold.current());
        require(n > 0, "Seller: Sold out");

        _handlePurchase(to, n, true);

        _totalSold.add(n);
        purchasedFreeOfCharge.add(n);
        assert(_totalSold.current() <= totalInventory);
        assert(purchasedFreeOfCharge.current() <= freeQuota);
    }

    /**
    @notice Enforces all purchase limits (counts and costs) before calling
    _handlePurchase(), after which the received funds are disbursed to the
    beneficiary, less any required refunds.
    @param to The final recipient of the item(s).
    @param requested The number of items requested for purchase, which MAY be
    reduced when passed to _handlePurchase().
     */
    function _purchase(address to, uint256 requested)
        internal
        nonReentrant
        whenNotPaused
    {
        /**
         * ##### CHECKS
         */
        SellerConfig memory config = sellerConfig;

        uint256 n = config.maxPerTx == 0
            ? requested
            : Math.min(requested, config.maxPerTx);

        uint256 maxAvailable;
        uint256 sold;

        if (config.reserveFreeQuota) {
            maxAvailable = config.totalInventory - config.freeQuota;
            sold = _totalSold.current() - purchasedFreeOfCharge.current();
        } else {
            maxAvailable = config.totalInventory;
            sold = _totalSold.current();
        }

        n = Math.min(n, maxAvailable - sold);
        require(n > 0, "Seller: Sold out");

        if (config.maxPerAddress > 0) {
            bool alsoLimitSender = _msgSender() != to;
            bool alsoLimitOrigin = tx.origin != _msgSender() && tx.origin != to;

            n = _capExtra(n, to, "Buyer limit");
            if (alsoLimitSender) {
                n = _capExtra(n, _msgSender(), "Sender limit");
            }
            if (alsoLimitOrigin) {
                n = _capExtra(n, tx.origin, "Origin limit");
            }

            _bought[to] += n;
            if (alsoLimitSender) {
                _bought[_msgSender()] += n;
            }
            if (alsoLimitOrigin) {
                _bought[tx.origin] += n;
            }
        }

        uint256 _cost = cost(n);
        if (msg.value < _cost) {
            revert(
                string(
                    abi.encodePacked(
                        "Seller: Costs ",
                        (_cost / 1e9).toString(),
                        " GWei"
                    )
                )
            );
        }

        /**
         * ##### EFFECTS
         */

        _handlePurchase(to, n, false);
        _totalSold.add(n);
        assert(_totalSold.current() <= config.totalInventory);

        /**
         * ##### INTERACTIONS
         */

        // Ideally we'd be using a PullPayment here, but the user experience is
        // poor when there's a variable cost or the number of items purchased
        // has been capped. We've addressed reentrancy with both a nonReentrant
        // modifier and the checks, effects, interactions pattern.

        if (_cost > 0) {
            beneficiary.sendValue(_cost);
            emit Revenue(beneficiary, n, _cost);
        }

        if (msg.value > _cost) {
            address payable reimburse = payable(_msgSender());
            uint256 refund = msg.value - _cost;

            // Using Address.sendValue() here would mask the revertMsg upon
            // reentrancy, but we want to expose it to allow for more precise
            // testing. This otherwise uses the exact same pattern as
            // Address.sendValue().
            (bool success, bytes memory returnData) = reimburse.call{
                value: refund
            }("");
            // Although `returnData` will have a spurious prefix, all we really
            // care about is that it contains the ReentrancyGuard reversion
            // message so we can check in the tests.
            require(success, string(returnData));

            emit Refund(reimburse, refund);
        }
    }
}

// File: @openzeppelin/contracts/utils/math/Math.sol



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

pragma solidity ^0.8.0;

/**
 * @dev Standard math utilities missing in the Solidity language.
 */
library Math {
    /**
     * @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 / b + (a % b == 0 ? 0 : 1);
    }
}

// File: @divergencetech/ethier/contracts/utils/Monotonic.sol



// SPDX-License-Identifier: MIT
// Copyright (c) 2021 the ethier authors (github.com/divergencetech/ethier)
pragma solidity >=0.8.0 <0.9.0;

/**
@notice Provides monotonic increasing and decreasing values, similar to
OpenZeppelin's Counter but (a) limited in direction, and (b) allowing for steps
> 1.
 */
library Monotonic {
    /**
    @notice Holds a value that can only increase.
    @dev The internal value MUST NOT be accessed directly. Instead use current()
    and add().
     */
    struct Increaser {
        uint256 value;
    }

    /// @notice Returns the current value of the Increaser.
    function current(Increaser storage incr) internal view returns (uint256) {
        return incr.value;
    }

    /// @notice Adds x to the Increaser's value.
    function add(Increaser storage incr, uint256 x) internal {
        incr.value += x;
    }

    /**
    @notice Holds a value that can only decrease.
    @dev The internal value MUST NOT be accessed directly. Instead use current()
    and subtract().
     */
    struct Decreaser {
        uint256 value;
    }

    /// @notice Returns the current value of the Decreaser.
    function current(Decreaser storage decr) internal view returns (uint256) {
        return decr.value;
    }

    /// @notice Subtracts x from the Decreaser's value.
    function subtract(Decreaser storage decr, uint256 x) internal {
        decr.value -= x;
    }
}

// File: @divergencetech/ethier/contracts/utils/OwnerPausable.sol



// SPDX-License-Identifier: MIT
// Copyright (c) 2021 the ethier authors (github.com/divergencetech/ethier)
pragma solidity >=0.8.0 <0.9.0;

import "@openzeppelin/contracts/access/Ownable.sol";
import "@openzeppelin/contracts/security/Pausable.sol";

/// @notice A Pausable contract that can only be toggled by the Owner.
contract OwnerPausable is Ownable, Pausable {
    /// @notice Pauses the contract.
    function pause() public onlyOwner {
        Pausable._pause();
    }

    /// @notice Unpauses the contract.
    function unpause() public onlyOwner {
        Pausable._unpause();
    }
}

// File: @openzeppelin/contracts/security/ReentrancyGuard.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (security/ReentrancyGuard.sol)

pragma solidity ^0.8.0;

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

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

    uint256 private _status;

    constructor() {
        _status = _NOT_ENTERED;
    }

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

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

        _;

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

// File: @openzeppelin/contracts/utils/Address.sol



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

pragma solidity ^0.8.0;

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

    /**
     * @dev Tool to verifies that a low level call was successful, and revert if it wasn't, either by bubbling the
     * revert reason 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 {
            // Look for revert reason and bubble it up if present
            if (returndata.length > 0) {
                // The easiest way to bubble the revert reason is using memory via assembly

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

// File: @openzeppelin/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: @openzeppelin/contracts/utils/Strings.sol



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

pragma solidity ^0.8.0;

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

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

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

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

    /**
     * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation with fixed length.
     */
    function toHexString(uint256 value, uint256 length) internal pure returns (string memory) {
        bytes memory buffer = new bytes(2 * length + 2);
        buffer[0] = "0";
        buffer[1] = "x";
        for (uint256 i = 2 * length + 1; i > 1; --i) {
            buffer[i] = _HEX_SYMBOLS[value & 0xf];
            value >>= 4;
        }
        require(value == 0, "Strings: hex length insufficient");
        return string(buffer);
    }
}

// File: @openzeppelin/contracts/access/Ownable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (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 Returns the address of the current owner.
     */
    function owner() public view virtual returns (address) {
        return _owner;
    }

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

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