// File: @openzeppelin/contracts-upgradeable/proxy/utils/Initializable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.1) (proxy/utils/Initializable.sol)

pragma solidity ^0.8.2;

import "../../utils/AddressUpgradeable.sol";

/**
 * @dev This is a base contract to aid in writing upgradeable contracts, or any kind of contract that will be deployed
 * behind a proxy. Since proxied contracts do not make use of a constructor, it's common to move constructor logic to an
 * external initializer function, usually called `initialize`. It then becomes necessary to protect this initializer
 * function so it can only be called once. The {initializer} modifier provided by this contract will have this effect.
 *
 * The initialization functions use a version number. Once a version number is used, it is consumed and cannot be
 * reused. This mechanism prevents re-execution of each "step" but allows the creation of new initialization steps in
 * case an upgrade adds a module that needs to be initialized.
 *
 * For example:
 *
 * [.hljs-theme-light.nopadding]
 * ```
 * contract MyToken is ERC20Upgradeable {
 *     function initialize() initializer public {
 *         __ERC20_init("MyToken", "MTK");
 *     }
 * }
 * contract MyTokenV2 is MyToken, ERC20PermitUpgradeable {
 *     function initializeV2() reinitializer(2) public {
 *         __ERC20Permit_init("MyToken");
 *     }
 * }
 * ```
 *
 * TIP: To avoid leaving the proxy in an uninitialized state, the initializer function should be called as early as
 * possible by providing the encoded function call as the `_data` argument to {ERC1967Proxy-constructor}.
 *
 * CAUTION: When used with inheritance, manual care must be taken to not invoke a parent initializer twice, or to ensure
 * that all initializers are idempotent. This is not verified automatically as constructors are by Solidity.
 *
 * [CAUTION]
 * ====
 * Avoid leaving a contract uninitialized.
 *
 * An uninitialized contract can be taken over by an attacker. This applies to both a proxy and its implementation
 * contract, which may impact the proxy. To prevent the implementation contract from being used, you should invoke
 * the {_disableInitializers} function in the constructor to automatically lock it when it is deployed:
 *
 * [.hljs-theme-light.nopadding]
 * ```
 * /// @custom:oz-upgrades-unsafe-allow constructor
 * constructor() {
 *     _disableInitializers();
 * }
 * ```
 * ====
 */
abstract contract Initializable {
    /**
     * @dev Indicates that the contract has been initialized.
     * @custom:oz-retyped-from bool
     */
    uint8 private _initialized;

    /**
     * @dev Indicates that the contract is in the process of being initialized.
     */
    bool private _initializing;

    /**
     * @dev Triggered when the contract has been initialized or reinitialized.
     */
    event Initialized(uint8 version);

    /**
     * @dev A modifier that defines a protected initializer function that can be invoked at most once. In its scope,
     * `onlyInitializing` functions can be used to initialize parent contracts.
     *
     * Similar to `reinitializer(1)`, except that functions marked with `initializer` can be nested in the context of a
     * constructor.
     *
     * Emits an {Initialized} event.
     */
    modifier initializer() {
        bool isTopLevelCall = !_initializing;
        require(
            (isTopLevelCall && _initialized < 1) || (!AddressUpgradeable.isContract(address(this)) && _initialized == 1),
            "Initializable: contract is already initialized"
        );
        _initialized = 1;
        if (isTopLevelCall) {
            _initializing = true;
        }
        _;
        if (isTopLevelCall) {
            _initializing = false;
            emit Initialized(1);
        }
    }

    /**
     * @dev A modifier that defines a protected reinitializer function that can be invoked at most once, and only if the
     * contract hasn't been initialized to a greater version before. In its scope, `onlyInitializing` functions can be
     * used to initialize parent contracts.
     *
     * A reinitializer may be used after the original initialization step. This is essential to configure modules that
     * are added through upgrades and that require initialization.
     *
     * When `version` is 1, this modifier is similar to `initializer`, except that functions marked with `reinitializer`
     * cannot be nested. If one is invoked in the context of another, execution will revert.
     *
     * Note that versions can jump in increments greater than 1; this implies that if multiple reinitializers coexist in
     * a contract, executing them in the right order is up to the developer or operator.
     *
     * WARNING: setting the version to 255 will prevent any future reinitialization.
     *
     * Emits an {Initialized} event.
     */
    modifier reinitializer(uint8 version) {
        require(!_initializing && _initialized < version, "Initializable: contract is already initialized");
        _initialized = version;
        _initializing = true;
        _;
        _initializing = false;
        emit Initialized(version);
    }

    /**
     * @dev Modifier to protect an initialization function so that it can only be invoked by functions with the
     * {initializer} and {reinitializer} modifiers, directly or indirectly.
     */
    modifier onlyInitializing() {
        require(_initializing, "Initializable: contract is not initializing");
        _;
    }

    /**
     * @dev Locks the contract, preventing any future reinitialization. This cannot be part of an initializer call.
     * Calling this in the constructor of a contract will prevent that contract from being initialized or reinitialized
     * to any version. It is recommended to use this to lock implementation contracts that are designed to be called
     * through proxies.
     *
     * Emits an {Initialized} event the first time it is successfully executed.
     */
    function _disableInitializers() internal virtual {
        require(!_initializing, "Initializable: contract is initializing");
        if (_initialized < type(uint8).max) {
            _initialized = type(uint8).max;
            emit Initialized(type(uint8).max);
        }
    }

    /**
     * @dev Returns the highest version that has been initialized. See {reinitializer}.
     */
    function _getInitializedVersion() internal view returns (uint8) {
        return _initialized;
    }

    /**
     * @dev Returns `true` if the contract is currently initializing. See {onlyInitializing}.
     */
    function _isInitializing() internal view returns (bool) {
        return _initializing;
    }
}

// File: @openzeppelin/contracts-upgradeable/token/ERC1155/ERC1155Upgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (token/ERC1155/ERC1155.sol)

pragma solidity ^0.8.0;

import "./IERC1155Upgradeable.sol";
import "./IERC1155ReceiverUpgradeable.sol";
import "./extensions/IERC1155MetadataURIUpgradeable.sol";
import "../../utils/AddressUpgradeable.sol";
import "../../utils/ContextUpgradeable.sol";
import "../../utils/introspection/ERC165Upgradeable.sol";
import "../../proxy/utils/Initializable.sol";

/**
 * @dev Implementation of the basic standard multi-token.
 * See https://eips.ethereum.org/EIPS/eip-1155
 * Originally based on code by Enjin: https://github.com/enjin/erc-1155
 *
 * _Available since v3.1._
 */
contract ERC1155Upgradeable is Initializable, ContextUpgradeable, ERC165Upgradeable, IERC1155Upgradeable, IERC1155MetadataURIUpgradeable {
    using AddressUpgradeable for address;

    // Mapping from token ID to account balances
    mapping(uint256 => mapping(address => uint256)) private _balances;

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

    // Used as the URI for all token types by relying on ID substitution, e.g. https://token-cdn-domain/{id}.json
    string private _uri;

    /**
     * @dev See {_setURI}.
     */
    function __ERC1155_init(string memory uri_) internal onlyInitializing {
        __ERC1155_init_unchained(uri_);
    }

    function __ERC1155_init_unchained(string memory uri_) internal onlyInitializing {
        _setURI(uri_);
    }

    /**
     * @dev See {IERC165-supportsInterface}.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override(ERC165Upgradeable, IERC165Upgradeable) returns (bool) {
        return
            interfaceId == type(IERC1155Upgradeable).interfaceId ||
            interfaceId == type(IERC1155MetadataURIUpgradeable).interfaceId ||
            super.supportsInterface(interfaceId);
    }

    /**
     * @dev See {IERC1155MetadataURI-uri}.
     *
     * This implementation returns the same URI for *all* token types. It relies
     * on the token type ID substitution mechanism
     * https://eips.ethereum.org/EIPS/eip-1155#metadata[defined in the EIP].
     *
     * Clients calling this function must replace the `\{id\}` substring with the
     * actual token type ID.
     */
    function uri(uint256) public view virtual override returns (string memory) {
        return _uri;
    }

    /**
     * @dev See {IERC1155-balanceOf}.
     *
     * Requirements:
     *
     * - `account` cannot be the zero address.
     */
    function balanceOf(address account, uint256 id) public view virtual override returns (uint256) {
        require(account != address(0), "ERC1155: address zero is not a valid owner");
        return _balances[id][account];
    }

    /**
     * @dev See {IERC1155-balanceOfBatch}.
     *
     * Requirements:
     *
     * - `accounts` and `ids` must have the same length.
     */
    function balanceOfBatch(address[] memory accounts, uint256[] memory ids)
        public
        view
        virtual
        override
        returns (uint256[] memory)
    {
        require(accounts.length == ids.length, "ERC1155: accounts and ids length mismatch");

        uint256[] memory batchBalances = new uint256[](accounts.length);

        for (uint256 i = 0; i < accounts.length; ++i) {
            batchBalances[i] = balanceOf(accounts[i], ids[i]);
        }

        return batchBalances;
    }

    /**
     * @dev See {IERC1155-setApprovalForAll}.
     */
    function setApprovalForAll(address operator, bool approved) public virtual override {
        _setApprovalForAll(_msgSender(), operator, approved);
    }

    /**
     * @dev See {IERC1155-isApprovedForAll}.
     */
    function isApprovedForAll(address account, address operator) public view virtual override returns (bool) {
        return _operatorApprovals[account][operator];
    }

    /**
     * @dev See {IERC1155-safeTransferFrom}.
     */
    function safeTransferFrom(
        address from,
        address to,
        uint256 id,
        uint256 amount,
        bytes memory data
    ) public virtual override {
        require(
            from == _msgSender() || isApprovedForAll(from, _msgSender()),
            "ERC1155: caller is not token owner or approved"
        );
        _safeTransferFrom(from, to, id, amount, data);
    }

    /**
     * @dev See {IERC1155-safeBatchTransferFrom}.
     */
    function safeBatchTransferFrom(
        address from,
        address to,
        uint256[] memory ids,
        uint256[] memory amounts,
        bytes memory data
    ) public virtual override {
        require(
            from == _msgSender() || isApprovedForAll(from, _msgSender()),
            "ERC1155: caller is not token owner or approved"
        );
        _safeBatchTransferFrom(from, to, ids, amounts, data);
    }

    /**
     * @dev Transfers `amount` tokens of token type `id` from `from` to `to`.
     *
     * Emits a {TransferSingle} event.
     *
     * Requirements:
     *
     * - `to` cannot be the zero address.
     * - `from` must have a balance of tokens of type `id` of at least `amount`.
     * - If `to` refers to a smart contract, it must implement {IERC1155Receiver-onERC1155Received} and return the
     * acceptance magic value.
     */
    function _safeTransferFrom(
        address from,
        address to,
        uint256 id,
        uint256 amount,
        bytes memory data
    ) internal virtual {
        require(to != address(0), "ERC1155: transfer to the zero address");

        address operator = _msgSender();
        uint256[] memory ids = _asSingletonArray(id);
        uint256[] memory amounts = _asSingletonArray(amount);

        _beforeTokenTransfer(operator, from, to, ids, amounts, data);

        uint256 fromBalance = _balances[id][from];
        require(fromBalance >= amount, "ERC1155: insufficient balance for transfer");
        unchecked {
            _balances[id][from] = fromBalance - amount;
        }
        _balances[id][to] += amount;

        emit TransferSingle(operator, from, to, id, amount);

        _afterTokenTransfer(operator, from, to, ids, amounts, data);

        _doSafeTransferAcceptanceCheck(operator, from, to, id, amount, data);
    }

    /**
     * @dev xref:ROOT:erc1155.adoc#batch-operations[Batched] version of {_safeTransferFrom}.
     *
     * Emits a {TransferBatch} event.
     *
     * Requirements:
     *
     * - If `to` refers to a smart contract, it must implement {IERC1155Receiver-onERC1155BatchReceived} and return the
     * acceptance magic value.
     */
    function _safeBatchTransferFrom(
        address from,
        address to,
        uint256[] memory ids,
        uint256[] memory amounts,
        bytes memory data
    ) internal virtual {
        require(ids.length == amounts.length, "ERC1155: ids and amounts length mismatch");
        require(to != address(0), "ERC1155: transfer to the zero address");

        address operator = _msgSender();

        _beforeTokenTransfer(operator, from, to, ids, amounts, data);

        for (uint256 i = 0; i < ids.length; ++i) {
            uint256 id = ids[i];
            uint256 amount = amounts[i];

            uint256 fromBalance = _balances[id][from];
            require(fromBalance >= amount, "ERC1155: insufficient balance for transfer");
            unchecked {
                _balances[id][from] = fromBalance - amount;
            }
            _balances[id][to] += amount;
        }

        emit TransferBatch(operator, from, to, ids, amounts);

        _afterTokenTransfer(operator, from, to, ids, amounts, data);

        _doSafeBatchTransferAcceptanceCheck(operator, from, to, ids, amounts, data);
    }

    /**
     * @dev Sets a new URI for all token types, by relying on the token type ID
     * substitution mechanism
     * https://eips.ethereum.org/EIPS/eip-1155#metadata[defined in the EIP].
     *
     * By this mechanism, any occurrence of the `\{id\}` substring in either the
     * URI or any of the amounts in the JSON file at said URI will be replaced by
     * clients with the token type ID.
     *
     * For example, the `https://token-cdn-domain/\{id\}.json` URI would be
     * interpreted by clients as
     * `https://token-cdn-domain/000000000000000000000000000000000000000000000000000000000004cce0.json`
     * for token type ID 0x4cce0.
     *
     * See {uri}.
     *
     * Because these URIs cannot be meaningfully represented by the {URI} event,
     * this function emits no events.
     */
    function _setURI(string memory newuri) internal virtual {
        _uri = newuri;
    }

    /**
     * @dev Creates `amount` tokens of token type `id`, and assigns them to `to`.
     *
     * Emits a {TransferSingle} event.
     *
     * Requirements:
     *
     * - `to` cannot be the zero address.
     * - If `to` refers to a smart contract, it must implement {IERC1155Receiver-onERC1155Received} and return the
     * acceptance magic value.
     */
    function _mint(
        address to,
        uint256 id,
        uint256 amount,
        bytes memory data
    ) internal virtual {
        require(to != address(0), "ERC1155: mint to the zero address");

        address operator = _msgSender();
        uint256[] memory ids = _asSingletonArray(id);
        uint256[] memory amounts = _asSingletonArray(amount);

        _beforeTokenTransfer(operator, address(0), to, ids, amounts, data);

        _balances[id][to] += amount;
        emit TransferSingle(operator, address(0), to, id, amount);

        _afterTokenTransfer(operator, address(0), to, ids, amounts, data);

        _doSafeTransferAcceptanceCheck(operator, address(0), to, id, amount, data);
    }

    /**
     * @dev xref:ROOT:erc1155.adoc#batch-operations[Batched] version of {_mint}.
     *
     * Emits a {TransferBatch} event.
     *
     * Requirements:
     *
     * - `ids` and `amounts` must have the same length.
     * - If `to` refers to a smart contract, it must implement {IERC1155Receiver-onERC1155BatchReceived} and return the
     * acceptance magic value.
     */
    function _mintBatch(
        address to,
        uint256[] memory ids,
        uint256[] memory amounts,
        bytes memory data
    ) internal virtual {
        require(to != address(0), "ERC1155: mint to the zero address");
        require(ids.length == amounts.length, "ERC1155: ids and amounts length mismatch");

        address operator = _msgSender();

        _beforeTokenTransfer(operator, address(0), to, ids, amounts, data);

        for (uint256 i = 0; i < ids.length; i++) {
            _balances[ids[i]][to] += amounts[i];
        }

        emit TransferBatch(operator, address(0), to, ids, amounts);

        _afterTokenTransfer(operator, address(0), to, ids, amounts, data);

        _doSafeBatchTransferAcceptanceCheck(operator, address(0), to, ids, amounts, data);
    }

    /**
     * @dev Destroys `amount` tokens of token type `id` from `from`
     *
     * Emits a {TransferSingle} event.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `from` must have at least `amount` tokens of token type `id`.
     */
    function _burn(
        address from,
        uint256 id,
        uint256 amount
    ) internal virtual {
        require(from != address(0), "ERC1155: burn from the zero address");

        address operator = _msgSender();
        uint256[] memory ids = _asSingletonArray(id);
        uint256[] memory amounts = _asSingletonArray(amount);

        _beforeTokenTransfer(operator, from, address(0), ids, amounts, "");

        uint256 fromBalance = _balances[id][from];
        require(fromBalance >= amount, "ERC1155: burn amount exceeds balance");
        unchecked {
            _balances[id][from] = fromBalance - amount;
        }

        emit TransferSingle(operator, from, address(0), id, amount);

        _afterTokenTransfer(operator, from, address(0), ids, amounts, "");
    }

    /**
     * @dev xref:ROOT:erc1155.adoc#batch-operations[Batched] version of {_burn}.
     *
     * Emits a {TransferBatch} event.
     *
     * Requirements:
     *
     * - `ids` and `amounts` must have the same length.
     */
    function _burnBatch(
        address from,
        uint256[] memory ids,
        uint256[] memory amounts
    ) internal virtual {
        require(from != address(0), "ERC1155: burn from the zero address");
        require(ids.length == amounts.length, "ERC1155: ids and amounts length mismatch");

        address operator = _msgSender();

        _beforeTokenTransfer(operator, from, address(0), ids, amounts, "");

        for (uint256 i = 0; i < ids.length; i++) {
            uint256 id = ids[i];
            uint256 amount = amounts[i];

            uint256 fromBalance = _balances[id][from];
            require(fromBalance >= amount, "ERC1155: burn amount exceeds balance");
            unchecked {
                _balances[id][from] = fromBalance - amount;
            }
        }

        emit TransferBatch(operator, from, address(0), ids, amounts);

        _afterTokenTransfer(operator, from, address(0), ids, amounts, "");
    }

    /**
     * @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, "ERC1155: setting approval status for self");
        _operatorApprovals[owner][operator] = approved;
        emit ApprovalForAll(owner, operator, approved);
    }

    /**
     * @dev Hook that is called before any token transfer. This includes minting
     * and burning, as well as batched variants.
     *
     * The same hook is called on both single and batched variants. For single
     * transfers, the length of the `ids` and `amounts` arrays will be 1.
     *
     * Calling conditions (for each `id` and `amount` pair):
     *
     * - When `from` and `to` are both non-zero, `amount` of ``from``'s tokens
     * of token type `id` will be  transferred to `to`.
     * - When `from` is zero, `amount` tokens of token type `id` will be minted
     * for `to`.
     * - when `to` is zero, `amount` of ``from``'s tokens of token type `id`
     * will be burned.
     * - `from` and `to` are never both zero.
     * - `ids` and `amounts` have the same, non-zero length.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _beforeTokenTransfer(
        address operator,
        address from,
        address to,
        uint256[] memory ids,
        uint256[] memory amounts,
        bytes memory data
    ) internal virtual {}

    /**
     * @dev Hook that is called after any token transfer. This includes minting
     * and burning, as well as batched variants.
     *
     * The same hook is called on both single and batched variants. For single
     * transfers, the length of the `id` and `amount` arrays will be 1.
     *
     * Calling conditions (for each `id` and `amount` pair):
     *
     * - When `from` and `to` are both non-zero, `amount` of ``from``'s tokens
     * of token type `id` will be  transferred to `to`.
     * - When `from` is zero, `amount` tokens of token type `id` will be minted
     * for `to`.
     * - when `to` is zero, `amount` of ``from``'s tokens of token type `id`
     * will be burned.
     * - `from` and `to` are never both zero.
     * - `ids` and `amounts` have the same, non-zero length.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _afterTokenTransfer(
        address operator,
        address from,
        address to,
        uint256[] memory ids,
        uint256[] memory amounts,
        bytes memory data
    ) internal virtual {}

    function _doSafeTransferAcceptanceCheck(
        address operator,
        address from,
        address to,
        uint256 id,
        uint256 amount,
        bytes memory data
    ) private {
        if (to.isContract()) {
            try IERC1155ReceiverUpgradeable(to).onERC1155Received(operator, from, id, amount, data) returns (bytes4 response) {
                if (response != IERC1155ReceiverUpgradeable.onERC1155Received.selector) {
                    revert("ERC1155: ERC1155Receiver rejected tokens");
                }
            } catch Error(string memory reason) {
                revert(reason);
            } catch {
                revert("ERC1155: transfer to non-ERC1155Receiver implementer");
            }
        }
    }

    function _doSafeBatchTransferAcceptanceCheck(
        address operator,
        address from,
        address to,
        uint256[] memory ids,
        uint256[] memory amounts,
        bytes memory data
    ) private {
        if (to.isContract()) {
            try IERC1155ReceiverUpgradeable(to).onERC1155BatchReceived(operator, from, ids, amounts, data) returns (
                bytes4 response
            ) {
                if (response != IERC1155ReceiverUpgradeable.onERC1155BatchReceived.selector) {
                    revert("ERC1155: ERC1155Receiver rejected tokens");
                }
            } catch Error(string memory reason) {
                revert(reason);
            } catch {
                revert("ERC1155: transfer to non-ERC1155Receiver implementer");
            }
        }
    }

    function _asSingletonArray(uint256 element) private pure returns (uint256[] memory) {
        uint256[] memory array = new uint256[](1);
        array[0] = element;

        return array;
    }

    /**
     * @dev This empty reserved space is put in place to allow future versions to add new
     * variables without shifting down storage in the inheritance chain.
     * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
     */
    uint256[47] private __gap;
}

// File: @openzeppelin/contracts-upgradeable/token/ERC1155/extensions/ERC1155SupplyUpgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.6.0) (token/ERC1155/extensions/ERC1155Supply.sol)

pragma solidity ^0.8.0;

import "../ERC1155Upgradeable.sol";
import "../../../proxy/utils/Initializable.sol";

/**
 * @dev Extension of ERC1155 that adds tracking of total supply per id.
 *
 * Useful for scenarios where Fungible and Non-fungible tokens have to be
 * clearly identified. Note: While a totalSupply of 1 might mean the
 * corresponding is an NFT, there is no guarantees that no other token with the
 * same id are not going to be minted.
 */
abstract contract ERC1155SupplyUpgradeable is Initializable, ERC1155Upgradeable {
    function __ERC1155Supply_init() internal onlyInitializing {
    }

    function __ERC1155Supply_init_unchained() internal onlyInitializing {
    }
    mapping(uint256 => uint256) private _totalSupply;

    /**
     * @dev Total amount of tokens in with a given id.
     */
    function totalSupply(uint256 id) public view virtual returns (uint256) {
        return _totalSupply[id];
    }

    /**
     * @dev Indicates whether any token exist with a given id, or not.
     */
    function exists(uint256 id) public view virtual returns (bool) {
        return ERC1155SupplyUpgradeable.totalSupply(id) > 0;
    }

    /**
     * @dev See {ERC1155-_beforeTokenTransfer}.
     */
    function _beforeTokenTransfer(
        address operator,
        address from,
        address to,
        uint256[] memory ids,
        uint256[] memory amounts,
        bytes memory data
    ) internal virtual override {
        super._beforeTokenTransfer(operator, from, to, ids, amounts, data);

        if (from == address(0)) {
            for (uint256 i = 0; i < ids.length; ++i) {
                _totalSupply[ids[i]] += amounts[i];
            }
        }

        if (to == address(0)) {
            for (uint256 i = 0; i < ids.length; ++i) {
                uint256 id = ids[i];
                uint256 amount = amounts[i];
                uint256 supply = _totalSupply[id];
                require(supply >= amount, "ERC1155: burn amount exceeds totalSupply");
                unchecked {
                    _totalSupply[id] = supply - amount;
                }
            }
        }
    }

    /**
     * @dev This empty reserved space is put in place to allow future versions to add new
     * variables without shifting down storage in the inheritance chain.
     * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
     */
    uint256[49] private __gap;
}

// File: @openzeppelin/contracts-upgradeable/token/ERC1155/extensions/IERC1155MetadataURIUpgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (token/ERC1155/extensions/IERC1155MetadataURI.sol)

pragma solidity ^0.8.0;

import "../IERC1155Upgradeable.sol";

/**
 * @dev Interface of the optional ERC1155MetadataExtension interface, as defined
 * in the https://eips.ethereum.org/EIPS/eip-1155#metadata-extensions[EIP].
 *
 * _Available since v3.1._
 */
interface IERC1155MetadataURIUpgradeable is IERC1155Upgradeable {
    /**
     * @dev Returns the URI for token type `id`.
     *
     * If the `\{id\}` substring is present in the URI, it must be replaced by
     * clients with the actual token type ID.
     */
    function uri(uint256 id) external view returns (string memory);
}

// File: @openzeppelin/contracts-upgradeable/token/ERC1155/IERC1155ReceiverUpgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.5.0) (token/ERC1155/IERC1155Receiver.sol)

pragma solidity ^0.8.0;

import "../../utils/introspection/IERC165Upgradeable.sol";

/**
 * @dev _Available since v3.1._
 */
interface IERC1155ReceiverUpgradeable is IERC165Upgradeable {
    /**
     * @dev Handles the receipt of a single ERC1155 token type. This function is
     * called at the end of a `safeTransferFrom` after the balance has been updated.
     *
     * NOTE: To accept the transfer, this must return
     * `bytes4(keccak256("onERC1155Received(address,address,uint256,uint256,bytes)"))`
     * (i.e. 0xf23a6e61, or its own function selector).
     *
     * @param operator The address which initiated the transfer (i.e. msg.sender)
     * @param from The address which previously owned the token
     * @param id The ID of the token being transferred
     * @param value The amount of tokens being transferred
     * @param data Additional data with no specified format
     * @return `bytes4(keccak256("onERC1155Received(address,address,uint256,uint256,bytes)"))` if transfer is allowed
     */
    function onERC1155Received(
        address operator,
        address from,
        uint256 id,
        uint256 value,
        bytes calldata data
    ) external returns (bytes4);

    /**
     * @dev Handles the receipt of a multiple ERC1155 token types. This function
     * is called at the end of a `safeBatchTransferFrom` after the balances have
     * been updated.
     *
     * NOTE: To accept the transfer(s), this must return
     * `bytes4(keccak256("onERC1155BatchReceived(address,address,uint256[],uint256[],bytes)"))`
     * (i.e. 0xbc197c81, or its own function selector).
     *
     * @param operator The address which initiated the batch transfer (i.e. msg.sender)
     * @param from The address which previously owned the token
     * @param ids An array containing ids of each token being transferred (order and length must match values array)
     * @param values An array containing amounts of each token being transferred (order and length must match ids array)
     * @param data Additional data with no specified format
     * @return `bytes4(keccak256("onERC1155BatchReceived(address,address,uint256[],uint256[],bytes)"))` if transfer is allowed
     */
    function onERC1155BatchReceived(
        address operator,
        address from,
        uint256[] calldata ids,
        uint256[] calldata values,
        bytes calldata data
    ) external returns (bytes4);
}

// File: @openzeppelin/contracts-upgradeable/token/ERC1155/IERC1155Upgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.7.0) (token/ERC1155/IERC1155.sol)

pragma solidity ^0.8.0;

import "../../utils/introspection/IERC165Upgradeable.sol";

/**
 * @dev Required interface of an ERC1155 compliant contract, as defined in the
 * https://eips.ethereum.org/EIPS/eip-1155[EIP].
 *
 * _Available since v3.1._
 */
interface IERC1155Upgradeable is IERC165Upgradeable {
    /**
     * @dev Emitted when `value` tokens of token type `id` are transferred from `from` to `to` by `operator`.
     */
    event TransferSingle(address indexed operator, address indexed from, address indexed to, uint256 id, uint256 value);

    /**
     * @dev Equivalent to multiple {TransferSingle} events, where `operator`, `from` and `to` are the same for all
     * transfers.
     */
    event TransferBatch(
        address indexed operator,
        address indexed from,
        address indexed to,
        uint256[] ids,
        uint256[] values
    );

    /**
     * @dev Emitted when `account` grants or revokes permission to `operator` to transfer their tokens, according to
     * `approved`.
     */
    event ApprovalForAll(address indexed account, address indexed operator, bool approved);

    /**
     * @dev Emitted when the URI for token type `id` changes to `value`, if it is a non-programmatic URI.
     *
     * If an {URI} event was emitted for `id`, the standard
     * https://eips.ethereum.org/EIPS/eip-1155#metadata-extensions[guarantees] that `value` will equal the value
     * returned by {IERC1155MetadataURI-uri}.
     */
    event URI(string value, uint256 indexed id);

    /**
     * @dev Returns the amount of tokens of token type `id` owned by `account`.
     *
     * Requirements:
     *
     * - `account` cannot be the zero address.
     */
    function balanceOf(address account, uint256 id) external view returns (uint256);

    /**
     * @dev xref:ROOT:erc1155.adoc#batch-operations[Batched] version of {balanceOf}.
     *
     * Requirements:
     *
     * - `accounts` and `ids` must have the same length.
     */
    function balanceOfBatch(address[] calldata accounts, uint256[] calldata ids)
        external
        view
        returns (uint256[] memory);

    /**
     * @dev Grants or revokes permission to `operator` to transfer the caller's tokens, according to `approved`,
     *
     * Emits an {ApprovalForAll} event.
     *
     * Requirements:
     *
     * - `operator` cannot be the caller.
     */
    function setApprovalForAll(address operator, bool approved) external;

    /**
     * @dev Returns true if `operator` is approved to transfer ``account``'s tokens.
     *
     * See {setApprovalForAll}.
     */
    function isApprovedForAll(address account, address operator) external view returns (bool);

    /**
     * @dev Transfers `amount` tokens of token type `id` from `from` to `to`.
     *
     * Emits a {TransferSingle} event.
     *
     * Requirements:
     *
     * - `to` cannot be the zero address.
     * - If the caller is not `from`, it must have been approved to spend ``from``'s tokens via {setApprovalForAll}.
     * - `from` must have a balance of tokens of type `id` of at least `amount`.
     * - If `to` refers to a smart contract, it must implement {IERC1155Receiver-onERC1155Received} and return the
     * acceptance magic value.
     */
    function safeTransferFrom(
        address from,
        address to,
        uint256 id,
        uint256 amount,
        bytes calldata data
    ) external;

    /**
     * @dev xref:ROOT:erc1155.adoc#batch-operations[Batched] version of {safeTransferFrom}.
     *
     * Emits a {TransferBatch} event.
     *
     * Requirements:
     *
     * - `ids` and `amounts` must have the same length.
     * - If `to` refers to a smart contract, it must implement {IERC1155Receiver-onERC1155BatchReceived} and return the
     * acceptance magic value.
     */
    function safeBatchTransferFrom(
        address from,
        address to,
        uint256[] calldata ids,
        uint256[] calldata amounts,
        bytes calldata data
    ) external;
}

// File: @openzeppelin/contracts-upgradeable/token/ERC20/ERC20Upgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (token/ERC20/ERC20.sol)

pragma solidity ^0.8.0;

import "./IERC20Upgradeable.sol";
import "./extensions/IERC20MetadataUpgradeable.sol";
import "../../utils/ContextUpgradeable.sol";
import "../../proxy/utils/Initializable.sol";

/**
 * @dev Implementation of the {IERC20} interface.
 *
 * This implementation is agnostic to the way tokens are created. This means
 * that a supply mechanism has to be added in a derived contract using {_mint}.
 * For a generic mechanism see {ERC20PresetMinterPauser}.
 *
 * TIP: For a detailed writeup see our guide
 * https://forum.openzeppelin.com/t/how-to-implement-erc20-supply-mechanisms/226[How
 * to implement supply mechanisms].
 *
 * We have followed general OpenZeppelin Contracts guidelines: functions revert
 * instead returning `false` on failure. This behavior is nonetheless
 * conventional and does not conflict with the expectations of ERC20
 * applications.
 *
 * Additionally, an {Approval} event is emitted on calls to {transferFrom}.
 * This allows applications to reconstruct the allowance for all accounts just
 * by listening to said events. Other implementations of the EIP may not emit
 * these events, as it isn't required by the specification.
 *
 * Finally, the non-standard {decreaseAllowance} and {increaseAllowance}
 * functions have been added to mitigate the well-known issues around setting
 * allowances. See {IERC20-approve}.
 */
contract ERC20Upgradeable is Initializable, ContextUpgradeable, IERC20Upgradeable, IERC20MetadataUpgradeable {
    mapping(address => uint256) private _balances;

    mapping(address => mapping(address => uint256)) private _allowances;

    uint256 private _totalSupply;

    string private _name;
    string private _symbol;

    /**
     * @dev Sets the values for {name} and {symbol}.
     *
     * The default value of {decimals} is 18. To select a different value for
     * {decimals} you should overload it.
     *
     * All two of these values are immutable: they can only be set once during
     * construction.
     */
    function __ERC20_init(string memory name_, string memory symbol_) internal onlyInitializing {
        __ERC20_init_unchained(name_, symbol_);
    }

    function __ERC20_init_unchained(string memory name_, string memory symbol_) internal onlyInitializing {
        _name = name_;
        _symbol = symbol_;
    }

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

    /**
     * @dev Returns the symbol of the token, usually a shorter version of the
     * name.
     */
    function symbol() public view virtual override returns (string memory) {
        return _symbol;
    }

    /**
     * @dev Returns the number of decimals used to get its user representation.
     * For example, if `decimals` equals `2`, a balance of `505` tokens should
     * be displayed to a user as `5.05` (`505 / 10 ** 2`).
     *
     * Tokens usually opt for a value of 18, imitating the relationship between
     * Ether and Wei. This is the value {ERC20} uses, unless this function is
     * overridden;
     *
     * NOTE: This information is only used for _display_ purposes: it in
     * no way affects any of the arithmetic of the contract, including
     * {IERC20-balanceOf} and {IERC20-transfer}.
     */
    function decimals() public view virtual override returns (uint8) {
        return 18;
    }

    /**
     * @dev See {IERC20-totalSupply}.
     */
    function totalSupply() public view virtual override returns (uint256) {
        return _totalSupply;
    }

    /**
     * @dev See {IERC20-balanceOf}.
     */
    function balanceOf(address account) public view virtual override returns (uint256) {
        return _balances[account];
    }

    /**
     * @dev See {IERC20-transfer}.
     *
     * Requirements:
     *
     * - `to` cannot be the zero address.
     * - the caller must have a balance of at least `amount`.
     */
    function transfer(address to, uint256 amount) public virtual override returns (bool) {
        address owner = _msgSender();
        _transfer(owner, to, amount);
        return true;
    }

    /**
     * @dev See {IERC20-allowance}.
     */
    function allowance(address owner, address spender) public view virtual override returns (uint256) {
        return _allowances[owner][spender];
    }

    /**
     * @dev See {IERC20-approve}.
     *
     * NOTE: If `amount` is the maximum `uint256`, the allowance is not updated on
     * `transferFrom`. This is semantically equivalent to an infinite approval.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     */
    function approve(address spender, uint256 amount) public virtual override returns (bool) {
        address owner = _msgSender();
        _approve(owner, spender, amount);
        return true;
    }

    /**
     * @dev See {IERC20-transferFrom}.
     *
     * Emits an {Approval} event indicating the updated allowance. This is not
     * required by the EIP. See the note at the beginning of {ERC20}.
     *
     * NOTE: Does not update the allowance if the current allowance
     * is the maximum `uint256`.
     *
     * Requirements:
     *
     * - `from` and `to` cannot be the zero address.
     * - `from` must have a balance of at least `amount`.
     * - the caller must have allowance for ``from``'s tokens of at least
     * `amount`.
     */
    function transferFrom(
        address from,
        address to,
        uint256 amount
    ) public virtual override returns (bool) {
        address spender = _msgSender();
        _spendAllowance(from, spender, amount);
        _transfer(from, to, amount);
        return true;
    }

    /**
     * @dev Atomically increases the allowance granted to `spender` by the caller.
     *
     * This is an alternative to {approve} that can be used as a mitigation for
     * problems described in {IERC20-approve}.
     *
     * Emits an {Approval} event indicating the updated allowance.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     */
    function increaseAllowance(address spender, uint256 addedValue) public virtual returns (bool) {
        address owner = _msgSender();
        _approve(owner, spender, allowance(owner, spender) + addedValue);
        return true;
    }

    /**
     * @dev Atomically decreases the allowance granted to `spender` by the caller.
     *
     * This is an alternative to {approve} that can be used as a mitigation for
     * problems described in {IERC20-approve}.
     *
     * Emits an {Approval} event indicating the updated allowance.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     * - `spender` must have allowance for the caller of at least
     * `subtractedValue`.
     */
    function decreaseAllowance(address spender, uint256 subtractedValue) public virtual returns (bool) {
        address owner = _msgSender();
        uint256 currentAllowance = allowance(owner, spender);
        require(currentAllowance >= subtractedValue, "ERC20: decreased allowance below zero");
        unchecked {
            _approve(owner, spender, currentAllowance - subtractedValue);
        }

        return true;
    }

    /**
     * @dev Moves `amount` of tokens from `from` to `to`.
     *
     * This internal function is equivalent to {transfer}, and can be used to
     * e.g. implement automatic token fees, slashing mechanisms, etc.
     *
     * Emits a {Transfer} event.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `from` must have a balance of at least `amount`.
     */
    function _transfer(
        address from,
        address to,
        uint256 amount
    ) internal virtual {
        require(from != address(0), "ERC20: transfer from the zero address");
        require(to != address(0), "ERC20: transfer to the zero address");

        _beforeTokenTransfer(from, to, amount);

        uint256 fromBalance = _balances[from];
        require(fromBalance >= amount, "ERC20: transfer amount exceeds balance");
        unchecked {
            _balances[from] = fromBalance - amount;
            // Overflow not possible: the sum of all balances is capped by totalSupply, and the sum is preserved by
            // decrementing then incrementing.
            _balances[to] += amount;
        }

        emit Transfer(from, to, amount);

        _afterTokenTransfer(from, to, amount);
    }

    /** @dev Creates `amount` tokens and assigns them to `account`, increasing
     * the total supply.
     *
     * Emits a {Transfer} event with `from` set to the zero address.
     *
     * Requirements:
     *
     * - `account` cannot be the zero address.
     */
    function _mint(address account, uint256 amount) internal virtual {
        require(account != address(0), "ERC20: mint to the zero address");

        _beforeTokenTransfer(address(0), account, amount);

        _totalSupply += amount;
        unchecked {
            // Overflow not possible: balance + amount is at most totalSupply + amount, which is checked above.
            _balances[account] += amount;
        }
        emit Transfer(address(0), account, amount);

        _afterTokenTransfer(address(0), account, amount);
    }

    /**
     * @dev Destroys `amount` tokens from `account`, reducing the
     * total supply.
     *
     * Emits a {Transfer} event with `to` set to the zero address.
     *
     * Requirements:
     *
     * - `account` cannot be the zero address.
     * - `account` must have at least `amount` tokens.
     */
    function _burn(address account, uint256 amount) internal virtual {
        require(account != address(0), "ERC20: burn from the zero address");

        _beforeTokenTransfer(account, address(0), amount);

        uint256 accountBalance = _balances[account];
        require(accountBalance >= amount, "ERC20: burn amount exceeds balance");
        unchecked {
            _balances[account] = accountBalance - amount;
            // Overflow not possible: amount <= accountBalance <= totalSupply.
            _totalSupply -= amount;
        }

        emit Transfer(account, address(0), amount);

        _afterTokenTransfer(account, address(0), amount);
    }

    /**
     * @dev Sets `amount` as the allowance of `spender` over the `owner` s tokens.
     *
     * This internal function is equivalent to `approve`, and can be used to
     * e.g. set automatic allowances for certain subsystems, etc.
     *
     * Emits an {Approval} event.
     *
     * Requirements:
     *
     * - `owner` cannot be the zero address.
     * - `spender` cannot be the zero address.
     */
    function _approve(
        address owner,
        address spender,
        uint256 amount
    ) internal virtual {
        require(owner != address(0), "ERC20: approve from the zero address");
        require(spender != address(0), "ERC20: approve to the zero address");

        _allowances[owner][spender] = amount;
        emit Approval(owner, spender, amount);
    }

    /**
     * @dev Updates `owner` s allowance for `spender` based on spent `amount`.
     *
     * Does not update the allowance amount in case of infinite allowance.
     * Revert if not enough allowance is available.
     *
     * Might emit an {Approval} event.
     */
    function _spendAllowance(
        address owner,
        address spender,
        uint256 amount
    ) internal virtual {
        uint256 currentAllowance = allowance(owner, spender);
        if (currentAllowance != type(uint256).max) {
            require(currentAllowance >= amount, "ERC20: insufficient allowance");
            unchecked {
                _approve(owner, spender, currentAllowance - amount);
            }
        }
    }

    /**
     * @dev Hook that is called before any transfer of tokens. This includes
     * minting and burning.
     *
     * Calling conditions:
     *
     * - when `from` and `to` are both non-zero, `amount` of ``from``'s tokens
     * will be transferred to `to`.
     * - when `from` is zero, `amount` tokens will be minted for `to`.
     * - when `to` is zero, `amount` of ``from``'s tokens 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 amount
    ) internal virtual {}

    /**
     * @dev Hook that is called after any transfer of tokens. This includes
     * minting and burning.
     *
     * Calling conditions:
     *
     * - when `from` and `to` are both non-zero, `amount` of ``from``'s tokens
     * has been transferred to `to`.
     * - when `from` is zero, `amount` tokens have been minted for `to`.
     * - when `to` is zero, `amount` of ``from``'s tokens have been 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 _afterTokenTransfer(
        address from,
        address to,
        uint256 amount
    ) internal virtual {}

    /**
     * @dev This empty reserved space is put in place to allow future versions to add new
     * variables without shifting down storage in the inheritance chain.
     * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
     */
    uint256[45] private __gap;
}

// File: @openzeppelin/contracts-upgradeable/token/ERC20/extensions/IERC20MetadataUpgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (token/ERC20/extensions/IERC20Metadata.sol)

pragma solidity ^0.8.0;

import "../IERC20Upgradeable.sol";

/**
 * @dev Interface for the optional metadata functions from the ERC20 standard.
 *
 * _Available since v4.1._
 */
interface IERC20MetadataUpgradeable is IERC20Upgradeable {
    /**
     * @dev Returns the name of the token.
     */
    function name() external view returns (string memory);

    /**
     * @dev Returns the symbol of the token.
     */
    function symbol() external view returns (string memory);

    /**
     * @dev Returns the decimals places of the token.
     */
    function decimals() external view returns (uint8);
}

// File: @openzeppelin/contracts-upgradeable/token/ERC20/IERC20Upgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.6.0) (token/ERC20/IERC20.sol)

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC20 standard as defined in the EIP.
 */
interface IERC20Upgradeable {
    /**
     * @dev Emitted when `value` tokens are moved from one account (`from`) to
     * another (`to`).
     *
     * Note that `value` may be zero.
     */
    event Transfer(address indexed from, address indexed to, uint256 value);

    /**
     * @dev Emitted when the allowance of a `spender` for an `owner` is set by
     * a call to {approve}. `value` is the new allowance.
     */
    event Approval(address indexed owner, address indexed spender, uint256 value);

    /**
     * @dev Returns the amount of tokens in existence.
     */
    function totalSupply() external view returns (uint256);

    /**
     * @dev Returns the amount of tokens owned by `account`.
     */
    function balanceOf(address account) external view returns (uint256);

    /**
     * @dev Moves `amount` tokens from the caller's account to `to`.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * Emits a {Transfer} event.
     */
    function transfer(address to, uint256 amount) external returns (bool);

    /**
     * @dev Returns the remaining number of tokens that `spender` will be
     * allowed to spend on behalf of `owner` through {transferFrom}. This is
     * zero by default.
     *
     * This value changes when {approve} or {transferFrom} are called.
     */
    function allowance(address owner, address spender) external view returns (uint256);

    /**
     * @dev Sets `amount` as the allowance of `spender` over the caller's tokens.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * IMPORTANT: Beware that changing an allowance with this method brings the risk
     * that someone may use both the old and the new allowance by unfortunate
     * transaction ordering. One possible solution to mitigate this race
     * condition is to first reduce the spender's allowance to 0 and set the
     * desired value afterwards:
     * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
     *
     * Emits an {Approval} event.
     */
    function approve(address spender, uint256 amount) external returns (bool);

    /**
     * @dev Moves `amount` tokens from `from` to `to` using the
     * allowance mechanism. `amount` is then deducted from the caller's
     * allowance.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * Emits a {Transfer} event.
     */
    function transferFrom(
        address from,
        address to,
        uint256 amount
    ) external returns (bool);
}

// File: @openzeppelin/contracts-upgradeable/token/ERC721/ERC721Upgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (token/ERC721/ERC721.sol)

pragma solidity ^0.8.0;

import "./IERC721Upgradeable.sol";
import "./IERC721ReceiverUpgradeable.sol";
import "./extensions/IERC721MetadataUpgradeable.sol";
import "../../utils/AddressUpgradeable.sol";
import "../../utils/ContextUpgradeable.sol";
import "../../utils/StringsUpgradeable.sol";
import "../../utils/introspection/ERC165Upgradeable.sol";
import "../../proxy/utils/Initializable.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 ERC721Upgradeable is Initializable, ContextUpgradeable, ERC165Upgradeable, IERC721Upgradeable, IERC721MetadataUpgradeable {
    using AddressUpgradeable for address;
    using StringsUpgradeable 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.
     */
    function __ERC721_init(string memory name_, string memory symbol_) internal onlyInitializing {
        __ERC721_init_unchained(name_, symbol_);
    }

    function __ERC721_init_unchained(string memory name_, string memory symbol_) internal onlyInitializing {
        _name = name_;
        _symbol = symbol_;
    }

    /**
     * @dev See {IERC165-supportsInterface}.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override(ERC165Upgradeable, IERC165Upgradeable) returns (bool) {
        return
            interfaceId == type(IERC721Upgradeable).interfaceId ||
            interfaceId == type(IERC721MetadataUpgradeable).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 = ERC721Upgradeable.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 = ERC721Upgradeable.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, 1);

        // 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, 1);
    }

    /**
     * @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 = ERC721Upgradeable.ownerOf(tokenId);

        _beforeTokenTransfer(owner, address(0), tokenId, 1);

        // Update ownership in case tokenId was transferred by `_beforeTokenTransfer` hook
        owner = ERC721Upgradeable.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, 1);
    }

    /**
     * @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(ERC721Upgradeable.ownerOf(tokenId) == from, "ERC721: transfer from incorrect owner");
        require(to != address(0), "ERC721: transfer to the zero address");

        _beforeTokenTransfer(from, to, tokenId, 1);

        // Check that tokenId was not transferred by `_beforeTokenTransfer` hook
        require(ERC721Upgradeable.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, 1);
    }

    /**
     * @dev Approve `to` to operate on `tokenId`
     *
     * Emits an {Approval} event.
     */
    function _approve(address to, uint256 tokenId) internal virtual {
        _tokenApprovals[tokenId] = to;
        emit Approval(ERC721Upgradeable.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 IERC721ReceiverUpgradeable(to).onERC721Received(_msgSender(), from, tokenId, data) returns (bytes4 retval) {
                return retval == IERC721ReceiverUpgradeable.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 token transfer. This includes minting and burning. If {ERC721Consecutive} is
     * used, the hook may be called as part of a consecutive (batch) mint, as indicated by `batchSize` greater than 1.
     *
     * Calling conditions:
     *
     * - When `from` and `to` are both non-zero, ``from``'s tokens will be transferred to `to`.
     * - When `from` is zero, the tokens will be minted for `to`.
     * - When `to` is zero, ``from``'s tokens will be burned.
     * - `from` and `to` are never both zero.
     * - `batchSize` is non-zero.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _beforeTokenTransfer(
        address from,
        address to,
        uint256, /* firstTokenId */
        uint256 batchSize
    ) internal virtual {
        if (batchSize > 1) {
            if (from != address(0)) {
                _balances[from] -= batchSize;
            }
            if (to != address(0)) {
                _balances[to] += batchSize;
            }
        }
    }

    /**
     * @dev Hook that is called after any token transfer. This includes minting and burning. If {ERC721Consecutive} is
     * used, the hook may be called as part of a consecutive (batch) mint, as indicated by `batchSize` greater than 1.
     *
     * Calling conditions:
     *
     * - When `from` and `to` are both non-zero, ``from``'s tokens were transferred to `to`.
     * - When `from` is zero, the tokens were minted for `to`.
     * - When `to` is zero, ``from``'s tokens were burned.
     * - `from` and `to` are never both zero.
     * - `batchSize` is non-zero.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _afterTokenTransfer(
        address from,
        address to,
        uint256 firstTokenId,
        uint256 batchSize
    ) internal virtual {}

    /**
     * @dev This empty reserved space is put in place to allow future versions to add new
     * variables without shifting down storage in the inheritance chain.
     * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
     */
    uint256[44] private __gap;
}

// File: @openzeppelin/contracts-upgradeable/token/ERC721/extensions/IERC721MetadataUpgradeable.sol



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

pragma solidity ^0.8.0;

import "../IERC721Upgradeable.sol";

/**
 * @title ERC-721 Non-Fungible Token Standard, optional metadata extension
 * @dev See https://eips.ethereum.org/EIPS/eip-721
 */
interface IERC721MetadataUpgradeable is IERC721Upgradeable {
    /**
     * @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: @openzeppelin/contracts-upgradeable/token/ERC721/IERC721ReceiverUpgradeable.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 IERC721ReceiverUpgradeable {
    /**
     * @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: @openzeppelin/contracts-upgradeable/token/ERC721/IERC721Upgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (token/ERC721/IERC721.sol)

pragma solidity ^0.8.0;

import "../../utils/introspection/IERC165Upgradeable.sol";

/**
 * @dev Required interface of an ERC721 compliant contract.
 */
interface IERC721Upgradeable is IERC165Upgradeable {
    /**
     * @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: @openzeppelin/contracts-upgradeable/utils/AddressUpgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (utils/Address.sol)

pragma solidity ^0.8.1;

/**
 * @dev Collection of functions related to the address type
 */
library AddressUpgradeable {
    /**
     * @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 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: @openzeppelin/contracts-upgradeable/utils/ContextUpgradeable.sol



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

pragma solidity ^0.8.0;
import "../proxy/utils/Initializable.sol";

/**
 * @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 ContextUpgradeable is Initializable {
    function __Context_init() internal onlyInitializing {
    }

    function __Context_init_unchained() internal onlyInitializing {
    }
    function _msgSender() internal view virtual returns (address) {
        return msg.sender;
    }

    function _msgData() internal view virtual returns (bytes calldata) {
        return msg.data;
    }

    /**
     * @dev This empty reserved space is put in place to allow future versions to add new
     * variables without shifting down storage in the inheritance chain.
     * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
     */
    uint256[50] private __gap;
}

// File: @openzeppelin/contracts-upgradeable/utils/introspection/ERC165Upgradeable.sol



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

pragma solidity ^0.8.0;

import "./IERC165Upgradeable.sol";
import "../../proxy/utils/Initializable.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 ERC165Upgradeable is Initializable, IERC165Upgradeable {
    function __ERC165_init() internal onlyInitializing {
    }

    function __ERC165_init_unchained() internal onlyInitializing {
    }
    /**
     * @dev See {IERC165-supportsInterface}.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
        return interfaceId == type(IERC165Upgradeable).interfaceId;
    }

    /**
     * @dev This empty reserved space is put in place to allow future versions to add new
     * variables without shifting down storage in the inheritance chain.
     * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
     */
    uint256[50] private __gap;
}

// File: @openzeppelin/contracts-upgradeable/utils/introspection/IERC165Upgradeable.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 IERC165Upgradeable {
    /**
     * @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: @openzeppelin/contracts-upgradeable/utils/math/MathUpgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (utils/math/Math.sol)

pragma solidity ^0.8.0;

/**
 * @dev Standard math utilities missing in the Solidity language.
 */
library MathUpgradeable {
    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);
        }
    }
}

// File: @openzeppelin/contracts-upgradeable/utils/StringsUpgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (utils/Strings.sol)

pragma solidity ^0.8.0;

import "./math/MathUpgradeable.sol";

/**
 * @dev String operations.
 */
library StringsUpgradeable {
    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 = MathUpgradeable.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, MathUpgradeable.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: @openzeppelin/contracts/access/AccessControl.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (access/AccessControl.sol)

pragma solidity ^0.8.0;

import "./IAccessControl.sol";
import "../utils/Context.sol";
import "../utils/Strings.sol";
import "../utils/introspection/ERC165.sol";

/**
 * @dev Contract module that allows children to implement role-based access
 * control mechanisms. This is a lightweight version that doesn't allow enumerating role
 * members except through off-chain means by accessing the contract event logs. Some
 * applications may benefit from on-chain enumerability, for those cases see
 * {AccessControlEnumerable}.
 *
 * Roles are referred to by their `bytes32` identifier. These should be exposed
 * in the external API and be unique. The best way to achieve this is by
 * using `public constant` hash digests:
 *
 * ```
 * bytes32 public constant MY_ROLE = keccak256("MY_ROLE");
 * ```
 *
 * Roles can be used to represent a set of permissions. To restrict access to a
 * function call, use {hasRole}:
 *
 * ```
 * function foo() public {
 *     require(hasRole(MY_ROLE, msg.sender));
 *     ...
 * }
 * ```
 *
 * Roles can be granted and revoked dynamically via the {grantRole} and
 * {revokeRole} functions. Each role has an associated admin role, and only
 * accounts that have a role's admin role can call {grantRole} and {revokeRole}.
 *
 * By default, the admin role for all roles is `DEFAULT_ADMIN_ROLE`, which means
 * that only accounts with this role will be able to grant or revoke other
 * roles. More complex role relationships can be created by using
 * {_setRoleAdmin}.
 *
 * WARNING: The `DEFAULT_ADMIN_ROLE` is also its own admin: it has permission to
 * grant and revoke this role. Extra precautions should be taken to secure
 * accounts that have been granted it.
 */
abstract contract AccessControl is Context, IAccessControl, ERC165 {
    struct RoleData {
        mapping(address => bool) members;
        bytes32 adminRole;
    }

    mapping(bytes32 => RoleData) private _roles;

    bytes32 public constant DEFAULT_ADMIN_ROLE = 0x00;

    /**
     * @dev Modifier that checks that an account has a specific role. Reverts
     * with a standardized message including the required role.
     *
     * The format of the revert reason is given by the following regular expression:
     *
     *  /^AccessControl: account (0x[0-9a-f]{40}) is missing role (0x[0-9a-f]{64})$/
     *
     * _Available since v4.1._
     */
    modifier onlyRole(bytes32 role) {
        _checkRole(role);
        _;
    }

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

    /**
     * @dev Returns `true` if `account` has been granted `role`.
     */
    function hasRole(bytes32 role, address account) public view virtual override returns (bool) {
        return _roles[role].members[account];
    }

    /**
     * @dev Revert with a standard message if `_msgSender()` is missing `role`.
     * Overriding this function changes the behavior of the {onlyRole} modifier.
     *
     * Format of the revert message is described in {_checkRole}.
     *
     * _Available since v4.6._
     */
    function _checkRole(bytes32 role) internal view virtual {
        _checkRole(role, _msgSender());
    }

    /**
     * @dev Revert with a standard message if `account` is missing `role`.
     *
     * The format of the revert reason is given by the following regular expression:
     *
     *  /^AccessControl: account (0x[0-9a-f]{40}) is missing role (0x[0-9a-f]{64})$/
     */
    function _checkRole(bytes32 role, address account) internal view virtual {
        if (!hasRole(role, account)) {
            revert(
                string(
                    abi.encodePacked(
                        "AccessControl: account ",
                        Strings.toHexString(account),
                        " is missing role ",
                        Strings.toHexString(uint256(role), 32)
                    )
                )
            );
        }
    }

    /**
     * @dev Returns the admin role that controls `role`. See {grantRole} and
     * {revokeRole}.
     *
     * To change a role's admin, use {_setRoleAdmin}.
     */
    function getRoleAdmin(bytes32 role) public view virtual override returns (bytes32) {
        return _roles[role].adminRole;
    }

    /**
     * @dev Grants `role` to `account`.
     *
     * If `account` had not been already granted `role`, emits a {RoleGranted}
     * event.
     *
     * Requirements:
     *
     * - the caller must have ``role``'s admin role.
     *
     * May emit a {RoleGranted} event.
     */
    function grantRole(bytes32 role, address account) public virtual override onlyRole(getRoleAdmin(role)) {
        _grantRole(role, account);
    }

    /**
     * @dev Revokes `role` from `account`.
     *
     * If `account` had been granted `role`, emits a {RoleRevoked} event.
     *
     * Requirements:
     *
     * - the caller must have ``role``'s admin role.
     *
     * May emit a {RoleRevoked} event.
     */
    function revokeRole(bytes32 role, address account) public virtual override onlyRole(getRoleAdmin(role)) {
        _revokeRole(role, account);
    }

    /**
     * @dev Revokes `role` from the calling account.
     *
     * Roles are often managed via {grantRole} and {revokeRole}: this function's
     * purpose is to provide a mechanism for accounts to lose their privileges
     * if they are compromised (such as when a trusted device is misplaced).
     *
     * If the calling account had been revoked `role`, emits a {RoleRevoked}
     * event.
     *
     * Requirements:
     *
     * - the caller must be `account`.
     *
     * May emit a {RoleRevoked} event.
     */
    function renounceRole(bytes32 role, address account) public virtual override {
        require(account == _msgSender(), "AccessControl: can only renounce roles for self");

        _revokeRole(role, account);
    }

    /**
     * @dev Grants `role` to `account`.
     *
     * If `account` had not been already granted `role`, emits a {RoleGranted}
     * event. Note that unlike {grantRole}, this function doesn't perform any
     * checks on the calling account.
     *
     * May emit a {RoleGranted} event.
     *
     * [WARNING]
     * ====
     * This function should only be called from the constructor when setting
     * up the initial roles for the system.
     *
     * Using this function in any other way is effectively circumventing the admin
     * system imposed by {AccessControl}.
     * ====
     *
     * NOTE: This function is deprecated in favor of {_grantRole}.
     */
    function _setupRole(bytes32 role, address account) internal virtual {
        _grantRole(role, account);
    }

    /**
     * @dev Sets `adminRole` as ``role``'s admin role.
     *
     * Emits a {RoleAdminChanged} event.
     */
    function _setRoleAdmin(bytes32 role, bytes32 adminRole) internal virtual {
        bytes32 previousAdminRole = getRoleAdmin(role);
        _roles[role].adminRole = adminRole;
        emit RoleAdminChanged(role, previousAdminRole, adminRole);
    }

    /**
     * @dev Grants `role` to `account`.
     *
     * Internal function without access restriction.
     *
     * May emit a {RoleGranted} event.
     */
    function _grantRole(bytes32 role, address account) internal virtual {
        if (!hasRole(role, account)) {
            _roles[role].members[account] = true;
            emit RoleGranted(role, account, _msgSender());
        }
    }

    /**
     * @dev Revokes `role` from `account`.
     *
     * Internal function without access restriction.
     *
     * May emit a {RoleRevoked} event.
     */
    function _revokeRole(bytes32 role, address account) internal virtual {
        if (hasRole(role, account)) {
            _roles[role].members[account] = false;
            emit RoleRevoked(role, account, _msgSender());
        }
    }
}

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



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (access/IAccessControl.sol)

pragma solidity ^0.8.0;

/**
 * @dev External interface of AccessControl declared to support ERC165 detection.
 */
interface IAccessControl {
    /**
     * @dev Emitted when `newAdminRole` is set as ``role``'s admin role, replacing `previousAdminRole`
     *
     * `DEFAULT_ADMIN_ROLE` is the starting admin for all roles, despite
     * {RoleAdminChanged} not being emitted signaling this.
     *
     * _Available since v3.1._
     */
    event RoleAdminChanged(bytes32 indexed role, bytes32 indexed previousAdminRole, bytes32 indexed newAdminRole);

    /**
     * @dev Emitted when `account` is granted `role`.
     *
     * `sender` is the account that originated the contract call, an admin role
     * bearer except when using {AccessControl-_setupRole}.
     */
    event RoleGranted(bytes32 indexed role, address indexed account, address indexed sender);

    /**
     * @dev Emitted when `account` is revoked `role`.
     *
     * `sender` is the account that originated the contract call:
     *   - if using `revokeRole`, it is the admin role bearer
     *   - if using `renounceRole`, it is the role bearer (i.e. `account`)
     */
    event RoleRevoked(bytes32 indexed role, address indexed account, address indexed sender);

    /**
     * @dev Returns `true` if `account` has been granted `role`.
     */
    function hasRole(bytes32 role, address account) external view returns (bool);

    /**
     * @dev Returns the admin role that controls `role`. See {grantRole} and
     * {revokeRole}.
     *
     * To change a role's admin, use {AccessControl-_setRoleAdmin}.
     */
    function getRoleAdmin(bytes32 role) external view returns (bytes32);

    /**
     * @dev Grants `role` to `account`.
     *
     * If `account` had not been already granted `role`, emits a {RoleGranted}
     * event.
     *
     * Requirements:
     *
     * - the caller must have ``role``'s admin role.
     */
    function grantRole(bytes32 role, address account) external;

    /**
     * @dev Revokes `role` from `account`.
     *
     * If `account` had been granted `role`, emits a {RoleRevoked} event.
     *
     * Requirements:
     *
     * - the caller must have ``role``'s admin role.
     */
    function revokeRole(bytes32 role, address account) external;

    /**
     * @dev Revokes `role` from the calling account.
     *
     * Roles are often managed via {grantRole} and {revokeRole}: this function's
     * purpose is to provide a mechanism for accounts to lose their privileges
     * if they are compromised (such as when a trusted device is misplaced).
     *
     * If the calling account had been granted `role`, emits a {RoleRevoked}
     * event.
     *
     * Requirements:
     *
     * - the caller must be `account`.
     */
    function renounceRole(bytes32 role, address account) external;
}

// File: @openzeppelin/contracts/proxy/utils/Initializable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.1) (proxy/utils/Initializable.sol)

pragma solidity ^0.8.2;

import "../../utils/Address.sol";

/**
 * @dev This is a base contract to aid in writing upgradeable contracts, or any kind of contract that will be deployed
 * behind a proxy. Since proxied contracts do not make use of a constructor, it's common to move constructor logic to an
 * external initializer function, usually called `initialize`. It then becomes necessary to protect this initializer
 * function so it can only be called once. The {initializer} modifier provided by this contract will have this effect.
 *
 * The initialization functions use a version number. Once a version number is used, it is consumed and cannot be
 * reused. This mechanism prevents re-execution of each "step" but allows the creation of new initialization steps in
 * case an upgrade adds a module that needs to be initialized.
 *
 * For example:
 *
 * [.hljs-theme-light.nopadding]
 * ```
 * contract MyToken is ERC20Upgradeable {
 *     function initialize() initializer public {
 *         __ERC20_init("MyToken", "MTK");
 *     }
 * }
 * contract MyTokenV2 is MyToken, ERC20PermitUpgradeable {
 *     function initializeV2() reinitializer(2) public {
 *         __ERC20Permit_init("MyToken");
 *     }
 * }
 * ```
 *
 * TIP: To avoid leaving the proxy in an uninitialized state, the initializer function should be called as early as
 * possible by providing the encoded function call as the `_data` argument to {ERC1967Proxy-constructor}.
 *
 * CAUTION: When used with inheritance, manual care must be taken to not invoke a parent initializer twice, or to ensure
 * that all initializers are idempotent. This is not verified automatically as constructors are by Solidity.
 *
 * [CAUTION]
 * ====
 * Avoid leaving a contract uninitialized.
 *
 * An uninitialized contract can be taken over by an attacker. This applies to both a proxy and its implementation
 * contract, which may impact the proxy. To prevent the implementation contract from being used, you should invoke
 * the {_disableInitializers} function in the constructor to automatically lock it when it is deployed:
 *
 * [.hljs-theme-light.nopadding]
 * ```
 * /// @custom:oz-upgrades-unsafe-allow constructor
 * constructor() {
 *     _disableInitializers();
 * }
 * ```
 * ====
 */
abstract contract Initializable {
    /**
     * @dev Indicates that the contract has been initialized.
     * @custom:oz-retyped-from bool
     */
    uint8 private _initialized;

    /**
     * @dev Indicates that the contract is in the process of being initialized.
     */
    bool private _initializing;

    /**
     * @dev Triggered when the contract has been initialized or reinitialized.
     */
    event Initialized(uint8 version);

    /**
     * @dev A modifier that defines a protected initializer function that can be invoked at most once. In its scope,
     * `onlyInitializing` functions can be used to initialize parent contracts.
     *
     * Similar to `reinitializer(1)`, except that functions marked with `initializer` can be nested in the context of a
     * constructor.
     *
     * Emits an {Initialized} event.
     */
    modifier initializer() {
        bool isTopLevelCall = !_initializing;
        require(
            (isTopLevelCall && _initialized < 1) || (!Address.isContract(address(this)) && _initialized == 1),
            "Initializable: contract is already initialized"
        );
        _initialized = 1;
        if (isTopLevelCall) {
            _initializing = true;
        }
        _;
        if (isTopLevelCall) {
            _initializing = false;
            emit Initialized(1);
        }
    }

    /**
     * @dev A modifier that defines a protected reinitializer function that can be invoked at most once, and only if the
     * contract hasn't been initialized to a greater version before. In its scope, `onlyInitializing` functions can be
     * used to initialize parent contracts.
     *
     * A reinitializer may be used after the original initialization step. This is essential to configure modules that
     * are added through upgrades and that require initialization.
     *
     * When `version` is 1, this modifier is similar to `initializer`, except that functions marked with `reinitializer`
     * cannot be nested. If one is invoked in the context of another, execution will revert.
     *
     * Note that versions can jump in increments greater than 1; this implies that if multiple reinitializers coexist in
     * a contract, executing them in the right order is up to the developer or operator.
     *
     * WARNING: setting the version to 255 will prevent any future reinitialization.
     *
     * Emits an {Initialized} event.
     */
    modifier reinitializer(uint8 version) {
        require(!_initializing && _initialized < version, "Initializable: contract is already initialized");
        _initialized = version;
        _initializing = true;
        _;
        _initializing = false;
        emit Initialized(version);
    }

    /**
     * @dev Modifier to protect an initialization function so that it can only be invoked by functions with the
     * {initializer} and {reinitializer} modifiers, directly or indirectly.
     */
    modifier onlyInitializing() {
        require(_initializing, "Initializable: contract is not initializing");
        _;
    }

    /**
     * @dev Locks the contract, preventing any future reinitialization. This cannot be part of an initializer call.
     * Calling this in the constructor of a contract will prevent that contract from being initialized or reinitialized
     * to any version. It is recommended to use this to lock implementation contracts that are designed to be called
     * through proxies.
     *
     * Emits an {Initialized} event the first time it is successfully executed.
     */
    function _disableInitializers() internal virtual {
        require(!_initializing, "Initializable: contract is initializing");
        if (_initialized < type(uint8).max) {
            _initialized = type(uint8).max;
            emit Initialized(type(uint8).max);
        }
    }

    /**
     * @dev Returns the highest version that has been initialized. See {reinitializer}.
     */
    function _getInitializedVersion() internal view returns (uint8) {
        return _initialized;
    }

    /**
     * @dev Returns `true` if the contract is currently initializing. See {onlyInitializing}.
     */
    function _isInitializing() internal view returns (bool) {
        return _initializing;
    }
}

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



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.7.0) (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 Modifier to make a function callable only when the contract is not paused.
     *
     * Requirements:
     *
     * - The contract must not be paused.
     */
    modifier whenNotPaused() {
        _requireNotPaused();
        _;
    }

    /**
     * @dev Modifier to make a function callable only when the contract is paused.
     *
     * Requirements:
     *
     * - The contract must be paused.
     */
    modifier whenPaused() {
        _requirePaused();
        _;
    }

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

    /**
     * @dev Throws if the contract is paused.
     */
    function _requireNotPaused() internal view virtual {
        require(!paused(), "Pausable: paused");
    }

    /**
     * @dev Throws if the contract is not paused.
     */
    function _requirePaused() internal view virtual {
        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: @openzeppelin/contracts/token/ERC1155/IERC1155.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.7.0) (token/ERC1155/IERC1155.sol)

pragma solidity ^0.8.0;

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

/**
 * @dev Required interface of an ERC1155 compliant contract, as defined in the
 * https://eips.ethereum.org/EIPS/eip-1155[EIP].
 *
 * _Available since v3.1._
 */
interface IERC1155 is IERC165 {
    /**
     * @dev Emitted when `value` tokens of token type `id` are transferred from `from` to `to` by `operator`.
     */
    event TransferSingle(address indexed operator, address indexed from, address indexed to, uint256 id, uint256 value);

    /**
     * @dev Equivalent to multiple {TransferSingle} events, where `operator`, `from` and `to` are the same for all
     * transfers.
     */
    event TransferBatch(
        address indexed operator,
        address indexed from,
        address indexed to,
        uint256[] ids,
        uint256[] values
    );

    /**
     * @dev Emitted when `account` grants or revokes permission to `operator` to transfer their tokens, according to
     * `approved`.
     */
    event ApprovalForAll(address indexed account, address indexed operator, bool approved);

    /**
     * @dev Emitted when the URI for token type `id` changes to `value`, if it is a non-programmatic URI.
     *
     * If an {URI} event was emitted for `id`, the standard
     * https://eips.ethereum.org/EIPS/eip-1155#metadata-extensions[guarantees] that `value` will equal the value
     * returned by {IERC1155MetadataURI-uri}.
     */
    event URI(string value, uint256 indexed id);

    /**
     * @dev Returns the amount of tokens of token type `id` owned by `account`.
     *
     * Requirements:
     *
     * - `account` cannot be the zero address.
     */
    function balanceOf(address account, uint256 id) external view returns (uint256);

    /**
     * @dev xref:ROOT:erc1155.adoc#batch-operations[Batched] version of {balanceOf}.
     *
     * Requirements:
     *
     * - `accounts` and `ids` must have the same length.
     */
    function balanceOfBatch(address[] calldata accounts, uint256[] calldata ids)
        external
        view
        returns (uint256[] memory);

    /**
     * @dev Grants or revokes permission to `operator` to transfer the caller's tokens, according to `approved`,
     *
     * Emits an {ApprovalForAll} event.
     *
     * Requirements:
     *
     * - `operator` cannot be the caller.
     */
    function setApprovalForAll(address operator, bool approved) external;

    /**
     * @dev Returns true if `operator` is approved to transfer ``account``'s tokens.
     *
     * See {setApprovalForAll}.
     */
    function isApprovedForAll(address account, address operator) external view returns (bool);

    /**
     * @dev Transfers `amount` tokens of token type `id` from `from` to `to`.
     *
     * Emits a {TransferSingle} event.
     *
     * Requirements:
     *
     * - `to` cannot be the zero address.
     * - If the caller is not `from`, it must have been approved to spend ``from``'s tokens via {setApprovalForAll}.
     * - `from` must have a balance of tokens of type `id` of at least `amount`.
     * - If `to` refers to a smart contract, it must implement {IERC1155Receiver-onERC1155Received} and return the
     * acceptance magic value.
     */
    function safeTransferFrom(
        address from,
        address to,
        uint256 id,
        uint256 amount,
        bytes calldata data
    ) external;

    /**
     * @dev xref:ROOT:erc1155.adoc#batch-operations[Batched] version of {safeTransferFrom}.
     *
     * Emits a {TransferBatch} event.
     *
     * Requirements:
     *
     * - `ids` and `amounts` must have the same length.
     * - If `to` refers to a smart contract, it must implement {IERC1155Receiver-onERC1155BatchReceived} and return the
     * acceptance magic value.
     */
    function safeBatchTransferFrom(
        address from,
        address to,
        uint256[] calldata ids,
        uint256[] calldata amounts,
        bytes calldata data
    ) external;
}

// File: @openzeppelin/contracts/token/ERC20/extensions/draft-IERC20Permit.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (token/ERC20/extensions/draft-IERC20Permit.sol)

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC20 Permit extension allowing approvals to be made via signatures, as defined in
 * https://eips.ethereum.org/EIPS/eip-2612[EIP-2612].
 *
 * Adds the {permit} method, which can be used to change an account's ERC20 allowance (see {IERC20-allowance}) by
 * presenting a message signed by the account. By not relying on {IERC20-approve}, the token holder account doesn't
 * need to send a transaction, and thus is not required to hold Ether at all.
 */
interface IERC20Permit {
    /**
     * @dev Sets `value` as the allowance of `spender` over ``owner``'s tokens,
     * given ``owner``'s signed approval.
     *
     * IMPORTANT: The same issues {IERC20-approve} has related to transaction
     * ordering also apply here.
     *
     * Emits an {Approval} event.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     * - `deadline` must be a timestamp in the future.
     * - `v`, `r` and `s` must be a valid `secp256k1` signature from `owner`
     * over the EIP712-formatted function arguments.
     * - the signature must use ``owner``'s current nonce (see {nonces}).
     *
     * For more information on the signature format, see the
     * https://eips.ethereum.org/EIPS/eip-2612#specification[relevant EIP
     * section].
     */
    function permit(
        address owner,
        address spender,
        uint256 value,
        uint256 deadline,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) external;

    /**
     * @dev Returns the current nonce for `owner`. This value must be
     * included whenever a signature is generated for {permit}.
     *
     * Every successful call to {permit} increases ``owner``'s nonce by one. This
     * prevents a signature from being used multiple times.
     */
    function nonces(address owner) external view returns (uint256);

    /**
     * @dev Returns the domain separator used in the encoding of the signature for {permit}, as defined by {EIP712}.
     */
    // solhint-disable-next-line func-name-mixedcase
    function DOMAIN_SEPARATOR() external view returns (bytes32);
}

// File: @openzeppelin/contracts/token/ERC20/IERC20.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.6.0) (token/ERC20/IERC20.sol)

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC20 standard as defined in the EIP.
 */
interface IERC20 {
    /**
     * @dev Emitted when `value` tokens are moved from one account (`from`) to
     * another (`to`).
     *
     * Note that `value` may be zero.
     */
    event Transfer(address indexed from, address indexed to, uint256 value);

    /**
     * @dev Emitted when the allowance of a `spender` for an `owner` is set by
     * a call to {approve}. `value` is the new allowance.
     */
    event Approval(address indexed owner, address indexed spender, uint256 value);

    /**
     * @dev Returns the amount of tokens in existence.
     */
    function totalSupply() external view returns (uint256);

    /**
     * @dev Returns the amount of tokens owned by `account`.
     */
    function balanceOf(address account) external view returns (uint256);

    /**
     * @dev Moves `amount` tokens from the caller's account to `to`.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * Emits a {Transfer} event.
     */
    function transfer(address to, uint256 amount) external returns (bool);

    /**
     * @dev Returns the remaining number of tokens that `spender` will be
     * allowed to spend on behalf of `owner` through {transferFrom}. This is
     * zero by default.
     *
     * This value changes when {approve} or {transferFrom} are called.
     */
    function allowance(address owner, address spender) external view returns (uint256);

    /**
     * @dev Sets `amount` as the allowance of `spender` over the caller's tokens.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * IMPORTANT: Beware that changing an allowance with this method brings the risk
     * that someone may use both the old and the new allowance by unfortunate
     * transaction ordering. One possible solution to mitigate this race
     * condition is to first reduce the spender's allowance to 0 and set the
     * desired value afterwards:
     * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
     *
     * Emits an {Approval} event.
     */
    function approve(address spender, uint256 amount) external returns (bool);

    /**
     * @dev Moves `amount` tokens from `from` to `to` using the
     * allowance mechanism. `amount` is then deducted from the caller's
     * allowance.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * Emits a {Transfer} event.
     */
    function transferFrom(
        address from,
        address to,
        uint256 amount
    ) external returns (bool);
}

// File: @openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (token/ERC20/utils/SafeERC20.sol)

pragma solidity ^0.8.0;

import "../IERC20.sol";
import "../extensions/draft-IERC20Permit.sol";
import "../../../utils/Address.sol";

/**
 * @title SafeERC20
 * @dev Wrappers around ERC20 operations that throw on failure (when the token
 * contract returns false). Tokens that return no value (and instead revert or
 * throw on failure) are also supported, non-reverting calls are assumed to be
 * successful.
 * To use this library you can add a `using SafeERC20 for IERC20;` statement to your contract,
 * which allows you to call the safe operations as `token.safeTransfer(...)`, etc.
 */
library SafeERC20 {
    using Address for address;

    function safeTransfer(
        IERC20 token,
        address to,
        uint256 value
    ) internal {
        _callOptionalReturn(token, abi.encodeWithSelector(token.transfer.selector, to, value));
    }

    function safeTransferFrom(
        IERC20 token,
        address from,
        address to,
        uint256 value
    ) internal {
        _callOptionalReturn(token, abi.encodeWithSelector(token.transferFrom.selector, from, to, value));
    }

    /**
     * @dev Deprecated. This function has issues similar to the ones found in
     * {IERC20-approve}, and its usage is discouraged.
     *
     * Whenever possible, use {safeIncreaseAllowance} and
     * {safeDecreaseAllowance} instead.
     */
    function safeApprove(
        IERC20 token,
        address spender,
        uint256 value
    ) internal {
        // safeApprove should only be called when setting an initial allowance,
        // or when resetting it to zero. To increase and decrease it, use
        // 'safeIncreaseAllowance' and 'safeDecreaseAllowance'
        require(
            (value == 0) || (token.allowance(address(this), spender) == 0),
            "SafeERC20: approve from non-zero to non-zero allowance"
        );
        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, value));
    }

    function safeIncreaseAllowance(
        IERC20 token,
        address spender,
        uint256 value
    ) internal {
        uint256 newAllowance = token.allowance(address(this), spender) + value;
        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, newAllowance));
    }

    function safeDecreaseAllowance(
        IERC20 token,
        address spender,
        uint256 value
    ) internal {
        unchecked {
            uint256 oldAllowance = token.allowance(address(this), spender);
            require(oldAllowance >= value, "SafeERC20: decreased allowance below zero");
            uint256 newAllowance = oldAllowance - value;
            _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, newAllowance));
        }
    }

    function safePermit(
        IERC20Permit token,
        address owner,
        address spender,
        uint256 value,
        uint256 deadline,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) internal {
        uint256 nonceBefore = token.nonces(owner);
        token.permit(owner, spender, value, deadline, v, r, s);
        uint256 nonceAfter = token.nonces(owner);
        require(nonceAfter == nonceBefore + 1, "SafeERC20: permit did not succeed");
    }

    /**
     * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement
     * on the return value: the return value is optional (but if data is returned, it must not be false).
     * @param token The token targeted by the call.
     * @param data The call data (encoded using abi.encode or one of its variants).
     */
    function _callOptionalReturn(IERC20 token, bytes memory data) private {
        // We need to perform a low level call here, to bypass Solidity's return data size checking mechanism, since
        // we're implementing it ourselves. We use {Address-functionCall} to perform this call, which verifies that
        // the target address contains contract code and also asserts for success in the low-level call.

        bytes memory returndata = address(token).functionCall(data, "SafeERC20: low-level call failed");
        if (returndata.length > 0) {
            // Return data is optional
            require(abi.decode(returndata, (bool)), "SafeERC20: ERC20 operation did not succeed");
        }
    }
}

// File: @openzeppelin/contracts/token/ERC721/ERC721.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (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, 1);

        // 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, 1);
    }

    /**
     * @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, 1);

        // 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, 1);
    }

    /**
     * @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, 1);

        // 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, 1);
    }

    /**
     * @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 token transfer. This includes minting and burning. If {ERC721Consecutive} is
     * used, the hook may be called as part of a consecutive (batch) mint, as indicated by `batchSize` greater than 1.
     *
     * Calling conditions:
     *
     * - When `from` and `to` are both non-zero, ``from``'s tokens will be transferred to `to`.
     * - When `from` is zero, the tokens will be minted for `to`.
     * - When `to` is zero, ``from``'s tokens will be burned.
     * - `from` and `to` are never both zero.
     * - `batchSize` is non-zero.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _beforeTokenTransfer(
        address from,
        address to,
        uint256, /* firstTokenId */
        uint256 batchSize
    ) internal virtual {
        if (batchSize > 1) {
            if (from != address(0)) {
                _balances[from] -= batchSize;
            }
            if (to != address(0)) {
                _balances[to] += batchSize;
            }
        }
    }

    /**
     * @dev Hook that is called after any token transfer. This includes minting and burning. If {ERC721Consecutive} is
     * used, the hook may be called as part of a consecutive (batch) mint, as indicated by `batchSize` greater than 1.
     *
     * Calling conditions:
     *
     * - When `from` and `to` are both non-zero, ``from``'s tokens were transferred to `to`.
     * - When `from` is zero, the tokens were minted for `to`.
     * - When `to` is zero, ``from``'s tokens were burned.
     * - `from` and `to` are never both zero.
     * - `batchSize` is non-zero.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _afterTokenTransfer(
        address from,
        address to,
        uint256 firstTokenId,
        uint256 batchSize
    ) internal virtual {}
}

// File: @openzeppelin/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: @openzeppelin/contracts/token/ERC721/IERC721.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (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: @openzeppelin/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: @openzeppelin/contracts/utils/Address.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (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: @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/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: @openzeppelin/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: @openzeppelin/contracts/utils/math/Math.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (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);
        }
    }
}

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



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.6.0) (utils/math/SafeMath.sol)

pragma solidity ^0.8.0;

// CAUTION
// This version of SafeMath should only be used with Solidity 0.8 or later,
// because it relies on the compiler's built in overflow checks.

/**
 * @dev Wrappers over Solidity's arithmetic operations.
 *
 * NOTE: `SafeMath` is generally not needed starting with Solidity 0.8, since the compiler
 * now has built in overflow checking.
 */
library SafeMath {
    /**
     * @dev Returns the addition of two unsigned integers, with an overflow flag.
     *
     * _Available since v3.4._
     */
    function tryAdd(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        unchecked {
            uint256 c = a + b;
            if (c < a) return (false, 0);
            return (true, c);
        }
    }

    /**
     * @dev Returns the subtraction of two unsigned integers, with an overflow flag.
     *
     * _Available since v3.4._
     */
    function trySub(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        unchecked {
            if (b > a) return (false, 0);
            return (true, a - b);
        }
    }

    /**
     * @dev Returns the multiplication of two unsigned integers, with an overflow flag.
     *
     * _Available since v3.4._
     */
    function tryMul(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        unchecked {
            // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
            // benefit is lost if 'b' is also tested.
            // See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522
            if (a == 0) return (true, 0);
            uint256 c = a * b;
            if (c / a != b) return (false, 0);
            return (true, c);
        }
    }

    /**
     * @dev Returns the division of two unsigned integers, with a division by zero flag.
     *
     * _Available since v3.4._
     */
    function tryDiv(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        unchecked {
            if (b == 0) return (false, 0);
            return (true, a / b);
        }
    }

    /**
     * @dev Returns the remainder of dividing two unsigned integers, with a division by zero flag.
     *
     * _Available since v3.4._
     */
    function tryMod(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        unchecked {
            if (b == 0) return (false, 0);
            return (true, a % b);
        }
    }

    /**
     * @dev Returns the addition of two unsigned integers, reverting on
     * overflow.
     *
     * Counterpart to Solidity's `+` operator.
     *
     * Requirements:
     *
     * - Addition cannot overflow.
     */
    function add(uint256 a, uint256 b) internal pure returns (uint256) {
        return a + b;
    }

    /**
     * @dev Returns the subtraction of two unsigned integers, reverting on
     * overflow (when the result is negative).
     *
     * Counterpart to Solidity's `-` operator.
     *
     * Requirements:
     *
     * - Subtraction cannot overflow.
     */
    function sub(uint256 a, uint256 b) internal pure returns (uint256) {
        return a - b;
    }

    /**
     * @dev Returns the multiplication of two unsigned integers, reverting on
     * overflow.
     *
     * Counterpart to Solidity's `*` operator.
     *
     * Requirements:
     *
     * - Multiplication cannot overflow.
     */
    function mul(uint256 a, uint256 b) internal pure returns (uint256) {
        return a * b;
    }

    /**
     * @dev Returns the integer division of two unsigned integers, reverting on
     * division by zero. The result is rounded towards zero.
     *
     * Counterpart to Solidity's `/` operator.
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function div(uint256 a, uint256 b) internal pure returns (uint256) {
        return a / b;
    }

    /**
     * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
     * reverting when dividing by zero.
     *
     * Counterpart to Solidity's `%` operator. This function uses a `revert`
     * opcode (which leaves remaining gas untouched) while Solidity uses an
     * invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function mod(uint256 a, uint256 b) internal pure returns (uint256) {
        return a % b;
    }

    /**
     * @dev Returns the subtraction of two unsigned integers, reverting with custom message on
     * overflow (when the result is negative).
     *
     * CAUTION: This function is deprecated because it requires allocating memory for the error
     * message unnecessarily. For custom revert reasons use {trySub}.
     *
     * Counterpart to Solidity's `-` operator.
     *
     * Requirements:
     *
     * - Subtraction cannot overflow.
     */
    function sub(
        uint256 a,
        uint256 b,
        string memory errorMessage
    ) internal pure returns (uint256) {
        unchecked {
            require(b <= a, errorMessage);
            return a - b;
        }
    }

    /**
     * @dev Returns the integer division of two unsigned integers, reverting with custom message on
     * division by zero. The result is rounded towards zero.
     *
     * Counterpart to Solidity's `/` operator. Note: this function uses a
     * `revert` opcode (which leaves remaining gas untouched) while Solidity
     * uses an invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function div(
        uint256 a,
        uint256 b,
        string memory errorMessage
    ) internal pure returns (uint256) {
        unchecked {
            require(b > 0, errorMessage);
            return a / b;
        }
    }

    /**
     * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
     * reverting with custom message when dividing by zero.
     *
     * CAUTION: This function is deprecated because it requires allocating memory for the error
     * message unnecessarily. For custom revert reasons use {tryMod}.
     *
     * Counterpart to Solidity's `%` operator. This function uses a `revert`
     * opcode (which leaves remaining gas untouched) while Solidity uses an
     * invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function mod(
        uint256 a,
        uint256 b,
        string memory errorMessage
    ) internal pure returns (uint256) {
        unchecked {
            require(b > 0, errorMessage);
            return a % b;
        }
    }
}

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



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (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: contracts/core/Bancor/BancorFormula.sol



// SPDX-License-Identifier: BUSL-1.1

pragma solidity 0.8.10;

import { SafeMath } from "@openzeppelin/contracts/utils/math/SafeMath.sol";

/**
* @title Bancor formula by Bancor
*
* Licensed to the Apache Software Foundation (ASF) under one or more contributor license agreements;
* and to You under the Apache License, Version 2.0. "
*/
contract BancorFormula {
    using SafeMath for uint256;
    
    uint256 private constant ONE = 1;
    uint32 private constant MAX_WEIGHT = 1_000_000;
    uint8 private constant MIN_PRECISION = 32;
    uint8 private constant MAX_PRECISION = 127;

    /**
        Auto-generated via 'PrintIntScalingFactors.py'
    */
    uint256 private constant FIXED_1 = 0x080000000000000000000000000000000;
    uint256 private constant FIXED_2 = 0x100000000000000000000000000000000;
    uint256 private constant MAX_NUM = 0x200000000000000000000000000000000;

    /**
        Auto-generated via 'PrintLn2ScalingFactors.py'
    */
    uint256 private constant LN2_NUMERATOR   = 0x3f80fe03f80fe03f80fe03f80fe03f8;
    uint256 private constant LN2_DENOMINATOR = 0x5b9de1d10bf4103d647b0955897ba80;

    /**
        Auto-generated via 'PrintFunctionOptimalLog.py' and 'PrintFunctionOptimalExp.py'
    */
    uint256 private constant OPT_LOG_MAX_VAL = 0x15bf0a8b1457695355fb8ac404e7a79e3;
    uint256 private constant OPT_EXP_MAX_VAL = 0x800000000000000000000000000000000;

    /**
        Auto-generated via 'PrintFunctionConstructor.py'
    */
    uint256[128] private maxExpArray;
    constructor() {
    //  maxExpArray[  0] = 0x6bffffffffffffffffffffffffffffffff;
    //  maxExpArray[  1] = 0x67ffffffffffffffffffffffffffffffff;
    //  maxExpArray[  2] = 0x637fffffffffffffffffffffffffffffff;
    //  maxExpArray[  3] = 0x5f6fffffffffffffffffffffffffffffff;
    //  maxExpArray[  4] = 0x5b77ffffffffffffffffffffffffffffff;
    //  maxExpArray[  5] = 0x57b3ffffffffffffffffffffffffffffff;
    //  maxExpArray[  6] = 0x5419ffffffffffffffffffffffffffffff;
    //  maxExpArray[  7] = 0x50a2ffffffffffffffffffffffffffffff;
    //  maxExpArray[  8] = 0x4d517fffffffffffffffffffffffffffff;
    //  maxExpArray[  9] = 0x4a233fffffffffffffffffffffffffffff;
    //  maxExpArray[ 10] = 0x47165fffffffffffffffffffffffffffff;
    //  maxExpArray[ 11] = 0x4429afffffffffffffffffffffffffffff;
    //  maxExpArray[ 12] = 0x415bc7ffffffffffffffffffffffffffff;
    //  maxExpArray[ 13] = 0x3eab73ffffffffffffffffffffffffffff;
    //  maxExpArray[ 14] = 0x3c1771ffffffffffffffffffffffffffff;
    //  maxExpArray[ 15] = 0x399e96ffffffffffffffffffffffffffff;
    //  maxExpArray[ 16] = 0x373fc47fffffffffffffffffffffffffff;
    //  maxExpArray[ 17] = 0x34f9e8ffffffffffffffffffffffffffff;
    //  maxExpArray[ 18] = 0x32cbfd5fffffffffffffffffffffffffff;
    //  maxExpArray[ 19] = 0x30b5057fffffffffffffffffffffffffff;
    //  maxExpArray[ 20] = 0x2eb40f9fffffffffffffffffffffffffff;
    //  maxExpArray[ 21] = 0x2cc8340fffffffffffffffffffffffffff;
    //  maxExpArray[ 22] = 0x2af09481ffffffffffffffffffffffffff;
    //  maxExpArray[ 23] = 0x292c5bddffffffffffffffffffffffffff;
    //  maxExpArray[ 24] = 0x277abdcdffffffffffffffffffffffffff;
    //  maxExpArray[ 25] = 0x25daf6657fffffffffffffffffffffffff;
    //  maxExpArray[ 26] = 0x244c49c65fffffffffffffffffffffffff;
    //  maxExpArray[ 27] = 0x22ce03cd5fffffffffffffffffffffffff;
    //  maxExpArray[ 28] = 0x215f77c047ffffffffffffffffffffffff;
    //  maxExpArray[ 29] = 0x1fffffffffffffffffffffffffffffffff;
    //  maxExpArray[ 30] = 0x1eaefdbdabffffffffffffffffffffffff;
    //  maxExpArray[ 31] = 0x1d6bd8b2ebffffffffffffffffffffffff;
        maxExpArray[ 32] = 0x1c35fedd14ffffffffffffffffffffffff;
        maxExpArray[ 33] = 0x1b0ce43b323fffffffffffffffffffffff;
        maxExpArray[ 34] = 0x19f0028ec1ffffffffffffffffffffffff;
        maxExpArray[ 35] = 0x18ded91f0e7fffffffffffffffffffffff;
        maxExpArray[ 36] = 0x17d8ec7f0417ffffffffffffffffffffff;
        maxExpArray[ 37] = 0x16ddc6556cdbffffffffffffffffffffff;
        maxExpArray[ 38] = 0x15ecf52776a1ffffffffffffffffffffff;
        maxExpArray[ 39] = 0x15060c256cb2ffffffffffffffffffffff;
        maxExpArray[ 40] = 0x1428a2f98d72ffffffffffffffffffffff;
        maxExpArray[ 41] = 0x13545598e5c23fffffffffffffffffffff;
        maxExpArray[ 42] = 0x1288c4161ce1dfffffffffffffffffffff;
        maxExpArray[ 43] = 0x11c592761c666fffffffffffffffffffff;
        maxExpArray[ 44] = 0x110a688680a757ffffffffffffffffffff;
        maxExpArray[ 45] = 0x1056f1b5bedf77ffffffffffffffffffff;
        maxExpArray[ 46] = 0x0faadceceeff8bffffffffffffffffffff;
        maxExpArray[ 47] = 0x0f05dc6b27edadffffffffffffffffffff;
        maxExpArray[ 48] = 0x0e67a5a25da4107fffffffffffffffffff;
        maxExpArray[ 49] = 0x0dcff115b14eedffffffffffffffffffff;
        maxExpArray[ 50] = 0x0d3e7a392431239fffffffffffffffffff;
        maxExpArray[ 51] = 0x0cb2ff529eb71e4fffffffffffffffffff;
        maxExpArray[ 52] = 0x0c2d415c3db974afffffffffffffffffff;
        maxExpArray[ 53] = 0x0bad03e7d883f69bffffffffffffffffff;
        maxExpArray[ 54] = 0x0b320d03b2c343d5ffffffffffffffffff;
        maxExpArray[ 55] = 0x0abc25204e02828dffffffffffffffffff;
        maxExpArray[ 56] = 0x0a4b16f74ee4bb207fffffffffffffffff;
        maxExpArray[ 57] = 0x09deaf736ac1f569ffffffffffffffffff;
        maxExpArray[ 58] = 0x0976bd9952c7aa957fffffffffffffffff;
        maxExpArray[ 59] = 0x09131271922eaa606fffffffffffffffff;
        maxExpArray[ 60] = 0x08b380f3558668c46fffffffffffffffff;
        maxExpArray[ 61] = 0x0857ddf0117efa215bffffffffffffffff;
        maxExpArray[ 62] = 0x07ffffffffffffffffffffffffffffffff;
        maxExpArray[ 63] = 0x07abbf6f6abb9d087fffffffffffffffff;
        maxExpArray[ 64] = 0x075af62cbac95f7dfa7fffffffffffffff;
        maxExpArray[ 65] = 0x070d7fb7452e187ac13fffffffffffffff;
        maxExpArray[ 66] = 0x06c3390ecc8af379295fffffffffffffff;
        maxExpArray[ 67] = 0x067c00a3b07ffc01fd6fffffffffffffff;
        maxExpArray[ 68] = 0x0637b647c39cbb9d3d27ffffffffffffff;
        maxExpArray[ 69] = 0x05f63b1fc104dbd39587ffffffffffffff;
        maxExpArray[ 70] = 0x05b771955b36e12f7235ffffffffffffff;
        maxExpArray[ 71] = 0x057b3d49dda84556d6f6ffffffffffffff;
        maxExpArray[ 72] = 0x054183095b2c8ececf30ffffffffffffff;
        maxExpArray[ 73] = 0x050a28be635ca2b888f77fffffffffffff;
        maxExpArray[ 74] = 0x04d5156639708c9db33c3fffffffffffff;
        maxExpArray[ 75] = 0x04a23105873875bd52dfdfffffffffffff;
        maxExpArray[ 76] = 0x0471649d87199aa990756fffffffffffff;
        maxExpArray[ 77] = 0x04429a21a029d4c1457cfbffffffffffff;
        maxExpArray[ 78] = 0x0415bc6d6fb7dd71af2cb3ffffffffffff;
        maxExpArray[ 79] = 0x03eab73b3bbfe282243ce1ffffffffffff;
        maxExpArray[ 80] = 0x03c1771ac9fb6b4c18e229ffffffffffff;
        maxExpArray[ 81] = 0x0399e96897690418f785257fffffffffff;
        maxExpArray[ 82] = 0x0373fc456c53bb779bf0ea9fffffffffff;
        maxExpArray[ 83] = 0x034f9e8e490c48e67e6ab8bfffffffffff;
        maxExpArray[ 84] = 0x032cbfd4a7adc790560b3337ffffffffff;
        maxExpArray[ 85] = 0x030b50570f6e5d2acca94613ffffffffff;
        maxExpArray[ 86] = 0x02eb40f9f620fda6b56c2861ffffffffff;
        maxExpArray[ 87] = 0x02cc8340ecb0d0f520a6af58ffffffffff;
        maxExpArray[ 88] = 0x02af09481380a0a35cf1ba02ffffffffff;
        maxExpArray[ 89] = 0x0292c5bdd3b92ec810287b1b3fffffffff;
        maxExpArray[ 90] = 0x0277abdcdab07d5a77ac6d6b9fffffffff;
        maxExpArray[ 91] = 0x025daf6654b1eaa55fd64df5efffffffff;
        maxExpArray[ 92] = 0x0244c49c648baa98192dce88b7ffffffff;
        maxExpArray[ 93] = 0x022ce03cd5619a311b2471268bffffffff;
        maxExpArray[ 94] = 0x0215f77c045fbe885654a44a0fffffffff;
        maxExpArray[ 95] = 0x01ffffffffffffffffffffffffffffffff;
        maxExpArray[ 96] = 0x01eaefdbdaaee7421fc4d3ede5ffffffff;
        maxExpArray[ 97] = 0x01d6bd8b2eb257df7e8ca57b09bfffffff;
        maxExpArray[ 98] = 0x01c35fedd14b861eb0443f7f133fffffff;
        maxExpArray[ 99] = 0x01b0ce43b322bcde4a56e8ada5afffffff;
        maxExpArray[100] = 0x019f0028ec1fff007f5a195a39dfffffff;
        maxExpArray[101] = 0x018ded91f0e72ee74f49b15ba527ffffff;
        maxExpArray[102] = 0x017d8ec7f04136f4e5615fd41a63ffffff;
        maxExpArray[103] = 0x016ddc6556cdb84bdc8d12d22e6fffffff;
        maxExpArray[104] = 0x015ecf52776a1155b5bd8395814f7fffff;
        maxExpArray[105] = 0x015060c256cb23b3b3cc3754cf40ffffff;
        maxExpArray[106] = 0x01428a2f98d728ae223ddab715be3fffff;
        maxExpArray[107] = 0x013545598e5c23276ccf0ede68034fffff;
        maxExpArray[108] = 0x01288c4161ce1d6f54b7f61081194fffff;
        maxExpArray[109] = 0x011c592761c666aa641d5a01a40f17ffff;
        maxExpArray[110] = 0x0110a688680a7530515f3e6e6cfdcdffff;
        maxExpArray[111] = 0x01056f1b5bedf75c6bcb2ce8aed428ffff;
        maxExpArray[112] = 0x00faadceceeff8a0890f3875f008277fff;
        maxExpArray[113] = 0x00f05dc6b27edad306388a600f6ba0bfff;
        maxExpArray[114] = 0x00e67a5a25da41063de1495d5b18cdbfff;
        maxExpArray[115] = 0x00dcff115b14eedde6fc3aa5353f2e4fff;
        maxExpArray[116] = 0x00d3e7a3924312399f9aae2e0f868f8fff;
        maxExpArray[117] = 0x00cb2ff529eb71e41582cccd5a1ee26fff;
        maxExpArray[118] = 0x00c2d415c3db974ab32a51840c0b67edff;
        maxExpArray[119] = 0x00bad03e7d883f69ad5b0a186184e06bff;
        maxExpArray[120] = 0x00b320d03b2c343d4829abd6075f0cc5ff;
        maxExpArray[121] = 0x00abc25204e02828d73c6e80bcdb1a95bf;
        maxExpArray[122] = 0x00a4b16f74ee4bb2040a1ec6c15fbbf2df;
        maxExpArray[123] = 0x009deaf736ac1f569deb1b5ae3f36c130f;
        maxExpArray[124] = 0x00976bd9952c7aa957f5937d790ef65037;
        maxExpArray[125] = 0x009131271922eaa6064b73a22d0bd4f2bf;
        maxExpArray[126] = 0x008b380f3558668c46c91c49a2f8e967b9;
        maxExpArray[127] = 0x00857ddf0117efa215952912839f6473e6;
    }

    /**
        @dev given a token supply, connector balance, weight and a deposit amount (in the connector token),
        calculates the return for a given conversion (in the main token)
        Formula:
        Return = _supply * ((1 + _depositAmount / _connectorBalance) ^ (_connectorWeight / 1000000) - 1)
        @param _supply              token total supply
        @param _connectorBalance    total connector balance
        @param _connectorWeight     connector weight, represented in ppm, 1-1000000
        @param _depositAmount       deposit amount, in connector token
        @return purchase return amount
    */
    function _calculatePurchaseReturn(uint256 _supply, uint256 _connectorBalance, uint32 _connectorWeight, uint256 _depositAmount) internal view returns (uint256) {
        // validate input
        require(_supply > 0 && _connectorBalance > 0 && _connectorWeight > 0 && _connectorWeight <= MAX_WEIGHT);

        // special case for 0 deposit amount
        if (_depositAmount == 0)
            return 0;

        // special case if the weight = 100%
        if (_connectorWeight == MAX_WEIGHT)
            return _supply.mul(_depositAmount) / _connectorBalance;

        uint256 result;
        uint8 precision;
        uint256 baseN = _depositAmount.add(_connectorBalance);
        (result, precision) = power(baseN, _connectorBalance, _connectorWeight, MAX_WEIGHT);
        uint256 temp = _supply.mul(result) >> precision;
        return temp - _supply;
    }

    /**
        @dev given a token supply, connector balance, weight and a sell amount (in the main token),
        calculates the return for a given conversion (in the connector token)
        Formula:
        Return = _connectorBalance * (1 - (1 - _sellAmount / _supply) ^ (1 / (_connectorWeight / 1000000)))
        @param _supply              token total supply
        @param _connectorBalance    total connector
        @param _connectorWeight     constant connector Weight, represented in ppm, 1-1000000
        @param _sellAmount          sell amount, in the token itself
        @return sale return amount
    */
    function _calculateSaleReturn(uint256 _supply, uint256 _connectorBalance, uint32 _connectorWeight, uint256 _sellAmount) internal view returns (uint256) {
        // validate input
        require(_supply > 0 && _connectorBalance > 0 && _connectorWeight > 0 && _connectorWeight <= MAX_WEIGHT && _sellAmount <= _supply);

        // special case for 0 sell amount
        if (_sellAmount == 0)
            return 0;

        // special case for selling the entire supply
        if (_sellAmount == _supply)
            return _connectorBalance;

        // special case if the weight = 100%
        if (_connectorWeight == MAX_WEIGHT)
            return _connectorBalance.mul(_sellAmount) / _supply;

        uint256 result;
        uint8 precision;
        uint256 baseD = _supply - _sellAmount;
        (result, precision) = power(_supply, baseD, MAX_WEIGHT, _connectorWeight);
        uint256 temp1 = _connectorBalance.mul(result);
        uint256 temp2 = _connectorBalance << precision;
        return (temp1 - temp2) / result;
    }

    /**
        General Description:
            Determine a value of precision.
            Calculate an integer approximation of (_baseN / _baseD) ^ (_expN / _expD) * 2 ^ precision.
            Return the result along with the precision used.
        Detailed Description:
            Instead of calculating "base ^ exp", we calculate "e ^ (log(base) * exp)".
            The value of "log(base)" is represented with an integer slightly smaller than "log(base) * 2 ^ precision".
            The larger "precision" is, the more accurately this value represents the real value.
            However, the larger "precision" is, the more bits are required in order to store this value.
            And the exponentiation function, which takes "x" and calculates "e ^ x", is limited to a maximum exponent (maximum value of "x").
            This maximum exponent depends on the "precision" used, and it is given by "maxExpArray[precision] >> (MAX_PRECISION - precision)".
            Hence we need to determine the highest precision which can be used for the given input, before calling the exponentiation function.
            This allows us to compute "base ^ exp" with maximum accuracy and without exceeding 256 bits in any of the intermediate computations.
            This functions assumes that "_expN < 2 ^ 256 / log(MAX_NUM - 1)", otherwise the multiplication should be replaced with a "safeMul".
    */
    function power(uint256 _baseN, uint256 _baseD, uint32 _expN, uint32 _expD) private view returns (uint256, uint8) {
        require(_baseN < MAX_NUM);

        uint256 baseLog;
        uint256 base = _baseN * FIXED_1 / _baseD;
        if (base < OPT_LOG_MAX_VAL) {
            baseLog = optimalLog(base);
        }
        else {
            baseLog = generalLog(base);
        }

        uint256 baseLogTimesExp = baseLog * _expN / _expD;
        if (baseLogTimesExp < OPT_EXP_MAX_VAL) {
            return (optimalExp(baseLogTimesExp), MAX_PRECISION);
        }
        else {
            uint8 precision = findPositionInMaxExpArray(baseLogTimesExp);
            return (generalExp(baseLogTimesExp >> (MAX_PRECISION - precision), precision), precision);
        }
    }

    /**
        Compute log(x / FIXED_1) * FIXED_1.
        This functions assumes that "x >= FIXED_1", because the output would be negative otherwise.
    */
    function generalLog(uint256 x) private pure returns (uint256) {
        uint256 res = 0;

        // If x >= 2, then we compute the integer part of log2(x), which is larger than 0.
        if (x >= FIXED_2) {
            uint8 count = floorLog2(x / FIXED_1);
            x >>= count; // now x < 2
            res = count * FIXED_1;
        }

        // If x > 1, then we compute the fraction part of log2(x), which is larger than 0.
        if (x > FIXED_1) {
            for (uint8 i = MAX_PRECISION; i > 0; --i) {
                x = (x * x) / FIXED_1; // now 1 < x < 4
                if (x >= FIXED_2) {
                    x >>= 1; // now 1 < x < 2
                    res += ONE << (i - 1);
                }
            }
        }

        return res * LN2_NUMERATOR / LN2_DENOMINATOR;
    }

    /**
        Compute the largest integer smaller than or equal to the binary logarithm of the input.
    */
    function floorLog2(uint256 _n) private pure returns (uint8) {
        uint8 res = 0;

        if (_n < 256) {
            // At most 8 iterations
            while (_n > 1) {
                _n >>= 1;
                res += 1;
            }
        }
        else {
            // Exactly 8 iterations
            for (uint8 s = 128; s > 0; s >>= 1) {
                if (_n >= (ONE << s)) {
                    _n >>= s;
                    res |= s;
                }
            }
        }

        return res;
    }

    /**
        The global "maxExpArray" is sorted in descending order, and therefore the following statements are equivalent:
        - This function finds the position of [the smallest value in "maxExpArray" larger than or equal to "x"]
        - This function finds the highest position of [a value in "maxExpArray" larger than or equal to "x"]
    */
    function findPositionInMaxExpArray(uint256 _x) private view returns (uint8) {
        uint8 lo = MIN_PRECISION;
        uint8 hi = MAX_PRECISION;

        while (lo + 1 < hi) {
            uint8 mid = (lo + hi) / 2;
            if (maxExpArray[mid] >= _x)
                lo = mid;
            else
                hi = mid;
        }

        if (maxExpArray[hi] >= _x)
            return hi;
        if (maxExpArray[lo] >= _x)
            return lo;

        require(false);
        return 0;
    }

    /**
        This function can be auto-generated by the script 'PrintFunctionGeneralExp.py'.
        It approximates "e ^ x" via maclaurin summation: "(x^0)/0! + (x^1)/1! + ... + (x^n)/n!".
        It returns "e ^ (x / 2 ^ precision) * 2 ^ precision", that is, the result is upshifted for accuracy.
        The global "maxExpArray" maps each "precision" to "((maximumExponent + 1) << (MAX_PRECISION - precision)) - 1".
        The maximum permitted value for "x" is therefore given by "maxExpArray[precision] >> (MAX_PRECISION - precision)".
    */
    function generalExp(uint256 _x, uint8 _precision) private pure returns (uint256) {
        uint256 xi = _x;
        uint256 res = 0;

        xi = (xi * _x) >> _precision; res += xi * 0x3442c4e6074a82f1797f72ac0000000; // add x^02 * (33! / 02!)
        xi = (xi * _x) >> _precision; res += xi * 0x116b96f757c380fb287fd0e40000000; // add x^03 * (33! / 03!)
        xi = (xi * _x) >> _precision; res += xi * 0x045ae5bdd5f0e03eca1ff4390000000; // add x^04 * (33! / 04!)
        xi = (xi * _x) >> _precision; res += xi * 0x00defabf91302cd95b9ffda50000000; // add x^05 * (33! / 05!)
        xi = (xi * _x) >> _precision; res += xi * 0x002529ca9832b22439efff9b8000000; // add x^06 * (33! / 06!)
        xi = (xi * _x) >> _precision; res += xi * 0x00054f1cf12bd04e516b6da88000000; // add x^07 * (33! / 07!)
        xi = (xi * _x) >> _precision; res += xi * 0x0000a9e39e257a09ca2d6db51000000; // add x^08 * (33! / 08!)
        xi = (xi * _x) >> _precision; res += xi * 0x000012e066e7b839fa050c309000000; // add x^09 * (33! / 09!)
        xi = (xi * _x) >> _precision; res += xi * 0x000001e33d7d926c329a1ad1a800000; // add x^10 * (33! / 10!)
        xi = (xi * _x) >> _precision; res += xi * 0x0000002bee513bdb4a6b19b5f800000; // add x^11 * (33! / 11!)
        xi = (xi * _x) >> _precision; res += xi * 0x00000003a9316fa79b88eccf2a00000; // add x^12 * (33! / 12!)
        xi = (xi * _x) >> _precision; res += xi * 0x0000000048177ebe1fa812375200000; // add x^13 * (33! / 13!)
        xi = (xi * _x) >> _precision; res += xi * 0x0000000005263fe90242dcbacf00000; // add x^14 * (33! / 14!)
        xi = (xi * _x) >> _precision; res += xi * 0x000000000057e22099c030d94100000; // add x^15 * (33! / 15!)
        xi = (xi * _x) >> _precision; res += xi * 0x0000000000057e22099c030d9410000; // add x^16 * (33! / 16!)
        xi = (xi * _x) >> _precision; res += xi * 0x00000000000052b6b54569976310000; // add x^17 * (33! / 17!)
        xi = (xi * _x) >> _precision; res += xi * 0x00000000000004985f67696bf748000; // add x^18 * (33! / 18!)
        xi = (xi * _x) >> _precision; res += xi * 0x000000000000003dea12ea99e498000; // add x^19 * (33! / 19!)
        xi = (xi * _x) >> _precision; res += xi * 0x00000000000000031880f2214b6e000; // add x^20 * (33! / 20!)
        xi = (xi * _x) >> _precision; res += xi * 0x000000000000000025bcff56eb36000; // add x^21 * (33! / 21!)
        xi = (xi * _x) >> _precision; res += xi * 0x000000000000000001b722e10ab1000; // add x^22 * (33! / 22!)
        xi = (xi * _x) >> _precision; res += xi * 0x0000000000000000001317c70077000; // add x^23 * (33! / 23!)
        xi = (xi * _x) >> _precision; res += xi * 0x00000000000000000000cba84aafa00; // add x^24 * (33! / 24!)
        xi = (xi * _x) >> _precision; res += xi * 0x00000000000000000000082573a0a00; // add x^25 * (33! / 25!)
        xi = (xi * _x) >> _precision; res += xi * 0x00000000000000000000005035ad900; // add x^26 * (33! / 26!)
        xi = (xi * _x) >> _precision; res += xi * 0x000000000000000000000002f881b00; // add x^27 * (33! / 27!)
        xi = (xi * _x) >> _precision; res += xi * 0x0000000000000000000000001b29340; // add x^28 * (33! / 28!)
        xi = (xi * _x) >> _precision; res += xi * 0x00000000000000000000000000efc40; // add x^29 * (33! / 29!)
        xi = (xi * _x) >> _precision; res += xi * 0x0000000000000000000000000007fe0; // add x^30 * (33! / 30!)
        xi = (xi * _x) >> _precision; res += xi * 0x0000000000000000000000000000420; // add x^31 * (33! / 31!)
        xi = (xi * _x) >> _precision; res += xi * 0x0000000000000000000000000000021; // add x^32 * (33! / 32!)
        xi = (xi * _x) >> _precision; res += xi * 0x0000000000000000000000000000001; // add x^33 * (33! / 33!)

        return res / 0x688589cc0e9505e2f2fee5580000000 + _x + (ONE << _precision); // divide by 33! and then add x^1 / 1! + x^0 / 0!
    }

    /**
        Return log(x / FIXED_1) * FIXED_1
        Input range: FIXED_1 <= x <= LOG_EXP_MAX_VAL - 1
        Auto-generated via 'PrintFunctionOptimalLog.py'
        Detailed description:
        - Rewrite the input as a product of natural exponents and a single residual r, such that 1 < r < 2
        - The natural logarithm of each (pre-calculated) exponent is the degree of the exponent
        - The natural logarithm of r is calculated via Taylor series for log(1 + x), where x = r - 1
        - The natural logarithm of the input is calculated by summing up the intermediate results above
        - For example: log(250) = log(e^4 * e^1 * e^0.5 * 1.021692859) = 4 + 1 + 0.5 + log(1 + 0.021692859)
    */
    function optimalLog(uint256 x) private pure returns (uint256) {
        uint256 res = 0;

        uint256 y;
        uint256 z;
        uint256 w;

        if (x >= 0xd3094c70f034de4b96ff7d5b6f99fcd8) {res += 0x40000000000000000000000000000000; x = x * FIXED_1 / 0xd3094c70f034de4b96ff7d5b6f99fcd8;} // add 1 / 2^1
        if (x >= 0xa45af1e1f40c333b3de1db4dd55f29a7) {res += 0x20000000000000000000000000000000; x = x * FIXED_1 / 0xa45af1e1f40c333b3de1db4dd55f29a7;} // add 1 / 2^2
        if (x >= 0x910b022db7ae67ce76b441c27035c6a1) {res += 0x10000000000000000000000000000000; x = x * FIXED_1 / 0x910b022db7ae67ce76b441c27035c6a1;} // add 1 / 2^3
        if (x >= 0x88415abbe9a76bead8d00cf112e4d4a8) {res += 0x08000000000000000000000000000000; x = x * FIXED_1 / 0x88415abbe9a76bead8d00cf112e4d4a8;} // add 1 / 2^4
        if (x >= 0x84102b00893f64c705e841d5d4064bd3) {res += 0x04000000000000000000000000000000; x = x * FIXED_1 / 0x84102b00893f64c705e841d5d4064bd3;} // add 1 / 2^5
        if (x >= 0x8204055aaef1c8bd5c3259f4822735a2) {res += 0x02000000000000000000000000000000; x = x * FIXED_1 / 0x8204055aaef1c8bd5c3259f4822735a2;} // add 1 / 2^6
        if (x >= 0x810100ab00222d861931c15e39b44e99) {res += 0x01000000000000000000000000000000; x = x * FIXED_1 / 0x810100ab00222d861931c15e39b44e99;} // add 1 / 2^7
        if (x >= 0x808040155aabbbe9451521693554f733) {res += 0x00800000000000000000000000000000; x = x * FIXED_1 / 0x808040155aabbbe9451521693554f733;} // add 1 / 2^8

        z = y = x - FIXED_1;
        w = y * y / FIXED_1;
        res += z * (0x100000000000000000000000000000000 - y) / 0x100000000000000000000000000000000; z = z * w / FIXED_1; // add y^01 / 01 - y^02 / 02
        res += z * (0x0aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa - y) / 0x200000000000000000000000000000000; z = z * w / FIXED_1; // add y^03 / 03 - y^04 / 04
        res += z * (0x099999999999999999999999999999999 - y) / 0x300000000000000000000000000000000; z = z * w / FIXED_1; // add y^05 / 05 - y^06 / 06
        res += z * (0x092492492492492492492492492492492 - y) / 0x400000000000000000000000000000000; z = z * w / FIXED_1; // add y^07 / 07 - y^08 / 08
        res += z * (0x08e38e38e38e38e38e38e38e38e38e38e - y) / 0x500000000000000000000000000000000; z = z * w / FIXED_1; // add y^09 / 09 - y^10 / 10
        res += z * (0x08ba2e8ba2e8ba2e8ba2e8ba2e8ba2e8b - y) / 0x600000000000000000000000000000000; z = z * w / FIXED_1; // add y^11 / 11 - y^12 / 12
        res += z * (0x089d89d89d89d89d89d89d89d89d89d89 - y) / 0x700000000000000000000000000000000; z = z * w / FIXED_1; // add y^13 / 13 - y^14 / 14
        res += z * (0x088888888888888888888888888888888 - y) / 0x800000000000000000000000000000000;                      // add y^15 / 15 - y^16 / 16

        return res;
    }

    /**
        Return e ^ (x / FIXED_1) * FIXED_1
        Input range: 0 <= x <= OPT_EXP_MAX_VAL - 1
        Auto-generated via 'PrintFunctionOptimalExp.py'
        Detailed description:
        - Rewrite the input as a sum of binary exponents and a single residual r, as small as possible
        - The exponentiation of each binary exponent is given (pre-calculated)
        - The exponentiation of r is calculated via Taylor series for e^x, where x = r
        - The exponentiation of the input is calculated by multiplying the intermediate results above
        - For example: e^5.521692859 = e^(4 + 1 + 0.5 + 0.021692859) = e^4 * e^1 * e^0.5 * e^0.021692859
    */
    function optimalExp(uint256 x) private pure returns (uint256) {
        uint256 res = 0;

        uint256 y;
        uint256 z;

        z = y = x % 0x10000000000000000000000000000000; // get the input modulo 2^(-3)
        z = z * y / FIXED_1; res += z * 0x10e1b3be415a0000; // add y^02 * (20! / 02!)
        z = z * y / FIXED_1; res += z * 0x05a0913f6b1e0000; // add y^03 * (20! / 03!)
        z = z * y / FIXED_1; res += z * 0x0168244fdac78000; // add y^04 * (20! / 04!)
        z = z * y / FIXED_1; res += z * 0x004807432bc18000; // add y^05 * (20! / 05!)
        z = z * y / FIXED_1; res += z * 0x000c0135dca04000; // add y^06 * (20! / 06!)
        z = z * y / FIXED_1; res += z * 0x0001b707b1cdc000; // add y^07 * (20! / 07!)
        z = z * y / FIXED_1; res += z * 0x000036e0f639b800; // add y^08 * (20! / 08!)
        z = z * y / FIXED_1; res += z * 0x00000618fee9f800; // add y^09 * (20! / 09!)
        z = z * y / FIXED_1; res += z * 0x0000009c197dcc00; // add y^10 * (20! / 10!)
        z = z * y / FIXED_1; res += z * 0x0000000e30dce400; // add y^11 * (20! / 11!)
        z = z * y / FIXED_1; res += z * 0x000000012ebd1300; // add y^12 * (20! / 12!)
        z = z * y / FIXED_1; res += z * 0x0000000017499f00; // add y^13 * (20! / 13!)
        z = z * y / FIXED_1; res += z * 0x0000000001a9d480; // add y^14 * (20! / 14!)
        z = z * y / FIXED_1; res += z * 0x00000000001c6380; // add y^15 * (20! / 15!)
        z = z * y / FIXED_1; res += z * 0x000000000001c638; // add y^16 * (20! / 16!)
        z = z * y / FIXED_1; res += z * 0x0000000000001ab8; // add y^17 * (20! / 17!)
        z = z * y / FIXED_1; res += z * 0x000000000000017c; // add y^18 * (20! / 18!)
        z = z * y / FIXED_1; res += z * 0x0000000000000014; // add y^19 * (20! / 19!)
        z = z * y / FIXED_1; res += z * 0x0000000000000001; // add y^20 * (20! / 20!)
        res = res / 0x21c3677c82b40000 + y + FIXED_1; // divide by 20! and then add y^1 / 1! + y^0 / 0!

        if ((x & 0x010000000000000000000000000000000) != 0) res = res * 0x1c3d6a24ed82218787d624d3e5eba95f9 / 0x18ebef9eac820ae8682b9793ac6d1e776; // multiply by e^2^(-3)
        if ((x & 0x020000000000000000000000000000000) != 0) res = res * 0x18ebef9eac820ae8682b9793ac6d1e778 / 0x1368b2fc6f9609fe7aceb46aa619baed4; // multiply by e^2^(-2)
        if ((x & 0x040000000000000000000000000000000) != 0) res = res * 0x1368b2fc6f9609fe7aceb46aa619baed5 / 0x0bc5ab1b16779be3575bd8f0520a9f21f; // multiply by e^2^(-1)
        if ((x & 0x080000000000000000000000000000000) != 0) res = res * 0x0bc5ab1b16779be3575bd8f0520a9f21e / 0x0454aaa8efe072e7f6ddbab84b40a55c9; // multiply by e^2^(+0)
        if ((x & 0x100000000000000000000000000000000) != 0) res = res * 0x0454aaa8efe072e7f6ddbab84b40a55c5 / 0x00960aadc109e7a3bf4578099615711ea; // multiply by e^2^(+1)
        if ((x & 0x200000000000000000000000000000000) != 0) res = res * 0x00960aadc109e7a3bf4578099615711d7 / 0x0002bf84208204f5977f9a8cf01fdce3d; // multiply by e^2^(+2)
        if ((x & 0x400000000000000000000000000000000) != 0) res = res * 0x0002bf84208204f5977f9a8cf01fdc307 / 0x0000003c6ab775dd0b95b4cbee7e65d11; // multiply by e^2^(+3)

        return res;
    }
}
// File: contracts/core/Basket.sol



// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.10;

import { IERC20 } from "@openzeppelin/contracts/token/ERC20/IERC20.sol";
import { IERC1155 } from "@openzeppelin/contracts/token/ERC1155/IERC1155.sol";
import { IERC721 } from "@openzeppelin/contracts/token/ERC721/ERC721.sol";
import { SafeERC20 } from "@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol";
import { IBasket } from "./Interfaces/IBasket.sol";
import { Initializable } from "@openzeppelin/contracts/proxy/utils/Initializable.sol";
import { IERC721ReceiverUpgradeable } from "@openzeppelin/contracts-upgradeable/token/ERC721/IERC721ReceiverUpgradeable.sol";
import { ERC721Upgradeable, IERC721Upgradeable } from "@openzeppelin/contracts-upgradeable/token/ERC721/ERC721Upgradeable.sol";
import { IERC1155ReceiverUpgradeable, IERC165Upgradeable } from "@openzeppelin/contracts-upgradeable/token/ERC1155/IERC1155ReceiverUpgradeable.sol";
/**
 * Mint a single ERC721 which can hold NFTs
 */
contract Basket is IBasket, ERC721Upgradeable {

    using SafeERC20 for IERC20;

    constructor () {
        _disableInitializers();
    }

    function initialize(address _curator) external override initializer {
        __ERC721_init("NibblBasket", "NB");
        _mint(_curator, 0);
    }

    function supportsInterface(bytes4 interfaceId) public view override(IERC165Upgradeable, ERC721Upgradeable) returns (bool) {
        return
            super.supportsInterface(interfaceId) || interfaceId == type(IBasket).interfaceId;
    }

    /// @notice withdraw an ERC721 token from this contract into your wallet
    /// @param _token the address of the NFT you are withdrawing
    /// @param _tokenId the ID of the NFT you are withdrawing
    function withdrawERC721(address _token, uint256 _tokenId, address _to) external override {
        require(_isApprovedOrOwner(msg.sender, 0), "withdraw:not allowed");
        IERC721(_token).safeTransferFrom(address(this), _to, _tokenId);
        emit WithdrawERC721(_token, _tokenId, _to);
    }

    function withdrawMultipleERC721(address[] calldata _tokens, uint256[] calldata _tokenId, address _to) external override {
        require(_isApprovedOrOwner(msg.sender, 0), "withdraw:not allowed");
        uint256 _length = _tokens.length;
        for (uint256 i; i < _length; ++i) {
            IERC721(_tokens[i]).safeTransferFrom(address(this), _to, _tokenId[i]);
            emit WithdrawERC721(_tokens[i], _tokenId[i], _to);
        }
    }
    
    /// @notice withdraw an ERC721 token from this contract into your wallet
    /// @param _token the address of the NFT you are withdrawing
    /// @param _tokenId the ID of the NFT you are withdrawing
    function withdrawERC721Unsafe(address _token, uint256 _tokenId, address _to) external override {
        require(_isApprovedOrOwner(msg.sender, 0), "withdraw:not allowed");
        IERC721(_token).transferFrom(address(this), _to, _tokenId);
        emit WithdrawERC721(_token, _tokenId, _to);
    }
    
    /// @notice withdraw an ERC721 token from this contract into your wallet
    /// @param _token the address of the NFT you are withdrawing
    /// @param _tokenId the ID of the NFT you are withdrawing
    function withdrawERC1155(address _token, uint256 _tokenId, address _to) external override {
        require(_isApprovedOrOwner(msg.sender, 0), "withdraw:not allowed");
        uint256 _balance = IERC1155(_token).balanceOf(address(this),  _tokenId);
        IERC1155(_token).safeTransferFrom(address(this), _to, _tokenId, _balance, "");
        emit WithdrawERC1155(_token, _tokenId, _balance, _to);
    }

    function withdrawMultipleERC1155(address[] calldata _tokens, uint256[] calldata _tokenIds, address _to) external override {
        require(_isApprovedOrOwner(msg.sender, 0), "withdraw:not allowed");
        uint256 _length = _tokens.length;
        for (uint256 i; i < _length; ++i) {
            uint256 _balance = IERC1155(_tokens[i]).balanceOf(address(this),  _tokenIds[i]);
            IERC1155(_tokens[i]).safeTransferFrom(address(this), _to, _tokenIds[i], _balance, "");
            emit WithdrawERC1155(_tokens[i], _tokenIds[i], _balance, _to);
        }
    }

    /// @notice withdraw ETH in the case a held NFT earned ETH (ie. euler beats)
    function withdrawETH(address payable _to) external override {
        require(_isApprovedOrOwner(msg.sender, 0), "withdraw:not allowed");
        (bool success, ) = _to.call{value: address(this).balance}("");
        require(success, "ETH transfer failed");
        emit WithdrawETH(_to);
    }

    /// @notice withdraw ERC20 in the case a held NFT earned ERC20
    function withdrawERC20(address _token, address _to) external override {
        require(_isApprovedOrOwner(msg.sender, 0), "withdraw:not allowed");
        IERC20(_token).safeTransfer(_to, IERC20(_token).balanceOf(address(this)));
        emit WithdrawERC20(_token, msg.sender);
    }

    function withdrawMultipleERC20(address[] calldata _tokens, address _to) external override {
        require(_isApprovedOrOwner(msg.sender, 0), "withdraw:not allowed");
        uint256 _length = _tokens.length;
        for (uint256 i; i < _length; ++i) {
            IERC20(_tokens[i]).safeTransfer(_to, IERC20(_tokens[i]).balanceOf(address(this)));
            emit WithdrawERC20(_tokens[i], msg.sender);
        }
    }

    function onERC721Received(address, address from, uint256 id, bytes memory) public override returns(bytes4) {
        emit DepositERC721(msg.sender, id, from);
        return this.onERC721Received.selector;
    }

    function onERC1155Received(address, address from, uint256 id, uint256 amount, bytes memory) external virtual override returns (bytes4) {
        emit DepositERC1155(msg.sender, id, amount, from);
        return this.onERC1155Received.selector;
    }

    function onERC1155BatchReceived(address, address from, uint256[] calldata ids, uint256[] calldata amounts, bytes memory) external virtual override returns (bytes4) {
        emit DepositERC1155Bulk(msg.sender, ids, amounts, from);
        return this.onERC1155BatchReceived.selector;
    }
    
    receive() external payable {}
}
// File: contracts/core/ERC1155Link.sol



// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.10;

import { ERC1155SupplyUpgradeable } from "@openzeppelin/contracts-upgradeable/token/ERC1155/extensions/ERC1155SupplyUpgradeable.sol";
import { Initializable } from "@openzeppelin/contracts-upgradeable/proxy/utils/Initializable.sol";
import { NibblVault } from "./NibblVault.sol";
import { NibblVaultFactory } from "./NibblVaultFactory.sol";
import { ERC1155 } from "solmate/src/tokens/ERC1155.sol";

contract ERC1155Link is ERC1155, Initializable {

    event TierAdded(uint256 indexed tier, uint256 indexed mintRatio, uint256 indexed maxCap, uint256 userCap );
    event Wrapped(uint256 indexed amount, uint256 indexed tokenID, address indexed to );
    event UnWrapped(uint256 indexed amount, uint256 indexed tokenID, address indexed to );

    NibblVaultFactory private immutable factory; // Factory
    
    NibblVault public linkErc20; // Fractionalised Token

    mapping ( uint256 => string ) private _uri; // Metadata TokenURI  
    mapping ( uint256 => uint256 ) public mintRatio; // Number of ERC20s required for each ERC1155 tokenID
    mapping ( uint256 => uint256 ) public userCap; // max erc1155 for a tokenID a user can mint
    mapping ( uint256 => mapping(address => uint256) ) public userMint; // amt of ERC1155 tokens for a tokenID minted by users (tokenID => (Address => amt))
    mapping ( uint256 => uint256 ) public maxCap; // max erc1155s for a tokenID that can be minted
    mapping ( uint256 => uint256 ) public totalSupply; // totalSupply minted or burned for each tokenID


    /// @notice To check if system isn't paused
    /// @dev pausablity implemented in factory
    modifier whenNotPaused() {
        require(!factory.paused(), 'ERC1155Link: Paused');
        _;
    }

    /// @notice Checks if tier corresponding to _id has been added by curator
    /// @dev as mintRatio of a initialized tier can't be 0, the condition should hold true
    /// @param _id tokenID of tier
    modifier isValidTokenID(uint256 _id) {
        require(mintRatio[_id] > 0, "ERC1155Link: !TokenID");
        _;
    }

    constructor (address payable _factory) {
        factory = NibblVaultFactory(_factory);
        _disableInitializers();
    }

    /// @notice Initializer function for proxy
    function initialize() external initializer {
        linkErc20 = NibblVault(payable(msg.sender));
    }

    /// @notice Adds a tier for the token
    /// @param _maxCap Max Supply of tokens that can be minted for the tokenID
    /// @param _userCap Max Supply of tokens a user cna mint
    /// @param _mintRatio Number of ERC20s required for a tokenID
    /// @param _tokenID tokenID to start tier on
    /// @param _tokenURI MetaData URI for a new tier

    function addTier(uint256 _maxCap, uint256 _userCap, uint256 _mintRatio, uint256 _tokenID, string calldata _tokenURI) external {
        require(msg.sender == NibblVault(linkErc20).curator(),  "ERC1155Link: Only Curator");
        require(mintRatio[_tokenID] == 0,   "ERC1155Link: Tier Exists");
        require(_mintRatio != 0,    "ERC1155Link: !Ratio");
        _uri[_tokenID] = _tokenURI;
        mintRatio[_tokenID] = _mintRatio;
        maxCap[_tokenID] = _maxCap;
        userCap[_tokenID] = _userCap;
        emit TierAdded(_tokenID, _mintRatio, _maxCap, _userCap);
    }


    /// @notice Wraps ERC20 to ERC1155
    /// @param _amount _number of ERC1155 to mint
    /// @param _tokenID tier to wrap on
    /// @param _to address to recieve ERC1155
    function wrap(uint256 _amount, uint256 _tokenID, address _to) external whenNotPaused isValidTokenID(_tokenID) {
        totalSupply[_tokenID] += _amount;
        userMint[_tokenID][msg.sender] += _amount;
        require(totalSupply[_tokenID] <= maxCap[_tokenID], "ERC1155Link: !MaxCap");
        require(userMint[_tokenID][msg.sender] <= userCap[_tokenID], "ERC1155Link: !UserCap");
        linkErc20.transferFrom(msg.sender, address(this), _amount * mintRatio[_tokenID]);
        _mint(_to, _tokenID, _amount, "0");
        emit Wrapped(_amount, _tokenID, _to);
    }

    /// @notice Unwraps ERC1155 to ERC20
    /// @param _amount _amount of erc1155s to unwrap
    /// @param _tokenID tier of token to unwrap
    /// @param _to address to recieve unwrapped tokens
    function unwrap(uint256 _amount, uint256 _tokenID, address _to) external whenNotPaused {
        totalSupply[_tokenID] -= _amount;
        _burn(msg.sender, _tokenID, _amount);
        linkErc20.transfer(_to, _amount * mintRatio[_tokenID]);
        emit UnWrapped(_amount, _tokenID, _to);
    }

    function uri(uint256 _tokenID) public view override returns(string memory) {
        return _uri[_tokenID];
    }

}
// File: contracts/core/Interfaces/IAccessControlMechanism.sol



// SPDX-License-Identifier: BUSL-1.1
// OpenZeppelin Contracts v4.4.1 (access/AccessControl.sol)

pragma solidity 0.8.10;

interface IAccessControlMechanism {

    function setRoleAdmin(bytes32 _role, bytes32 _adminRole) external;

    function proposeGrantRole(bytes32 _role, address _to) external;
    
    function claimRole(bytes32 _role) external;


}
// File: contracts/core/Interfaces/IBasket.sol



// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.10;

import { IERC721ReceiverUpgradeable } from "@openzeppelin/contracts-upgradeable/token/ERC721/IERC721ReceiverUpgradeable.sol";
import { IERC721Upgradeable } from "@openzeppelin/contracts-upgradeable/token/ERC721/ERC721Upgradeable.sol";
import { IERC1155ReceiverUpgradeable } from "@openzeppelin/contracts-upgradeable/token/ERC1155/IERC1155ReceiverUpgradeable.sol";

interface IBasket is IERC721Upgradeable, IERC721ReceiverUpgradeable, IERC1155ReceiverUpgradeable{

    event DepositERC721(address indexed token, uint256 tokenId, address indexed from);
    event WithdrawERC721(address indexed token, uint256 tokenId, address indexed to);
    event DepositERC1155(address indexed token, uint256 tokenId, uint256 amount, address indexed from);
    event DepositERC1155Bulk(address indexed token, uint256[] tokenId, uint256[] amount, address indexed from);
    event WithdrawERC1155(address indexed token, uint256 tokenId, uint256 amount, address indexed from);
    event WithdrawETH(address indexed who);
    event WithdrawERC20(address indexed token, address indexed who);

    function initialize(address _curator) external;
    function withdrawERC721(address _token, uint256 _tokenId, address _to) external;
    function withdrawMultipleERC721(address[] memory _tokens, uint256[] memory _tokenId, address _to) external;
    function withdrawERC721Unsafe(address _token, uint256 _tokenId, address _to) external;
    function withdrawERC1155(address _token, uint256 _tokenId, address _to) external;
    function withdrawMultipleERC1155(address[] memory _tokens, uint256[] memory _tokenIds, address _to) external;
    function withdrawETH(address payable _to) external;
    function withdrawERC20(address _token, address _to) external;
    function withdrawMultipleERC20(address[] memory _tokens, address _to) external;
    
}
// File: contracts/core/Interfaces/INibblVault.sol



// SPDX-License-Identifier: BUSL-1.1

pragma solidity 0.8.10;
import { IERC20Upgradeable } from "@openzeppelin/contracts-upgradeable/token/ERC20/IERC20Upgradeable.sol";


interface INibblVault is IERC20Upgradeable {

    event BuyoutInitiated(address indexed bidder, uint256 indexed bid);
    event BuyoutRejected(uint256 indexed rejectionValuation);
    event CuratorFeeUpdated(uint256 indexed fee);
    event Buy(address indexed buyer, uint256 indexed continousTokenAmount, uint256 indexed reserveTokenAmt);
    event Sell(address indexed seller, uint256 indexed continousTokenAmount, uint256 indexed reserveTokenAmt);

    function initialize(string memory _tokenName, string memory _tokenSymbol, address _assetAddress, uint256 _assetID, address _curator, uint256 _initialTokenSupply, uint256 _initialTokenPrice, uint256 _minBuyoutTime) external payable;
    function buy(uint256 _minAmtOut, address _to) external payable returns(uint256 _purchaseReturn);
    function sell(uint256 _amtIn, uint256 _minAmtOut, address payable _to) external returns(uint256 _saleReturn);
    function initiateBuyout() external payable returns(uint256 _buyoutBid);
    function withdrawUnsettledBids(address payable _to) external;
    function redeem(address payable _to) external returns(uint256 _amtOut);
    function redeemCuratorFee(address payable _to) external returns(uint256 _feeAccruedCurator);
    function updateCurator(address _newCurator) external;
    function withdrawERC721(address _assetAddress, uint256 _assetID, address _to) external;
    function withdrawMultipleERC721(address[] memory _assetAddresses, uint256[] memory _assetIDs, address _to) external;
    function withdrawERC20(address _asset, address _to) external;
    function withdrawMultipleERC20(address[] memory _assets, address _to) external;
    function withdrawERC1155(address _asset, uint256 _assetID, address _to) external;
    function withdrawMultipleERC1155(address[] memory _assets, uint256[] memory _assetIDs, address _to) external;

    function permit(address owner, address spender, uint256 value, uint256 deadline, uint8 v, bytes32 r, bytes32 s) external;
}
// File: contracts/core/Interfaces/INibblVault2.sol



// SPDX-License-Identifier: BUSL-1.1

pragma solidity 0.8.10;
import { IERC20Upgradeable } from "@openzeppelin/contracts-upgradeable/token/ERC20/IERC20Upgradeable.sol";


interface INibblVault2 is IERC20Upgradeable {

    event BuyoutInitiated(address indexed bidder, uint256 indexed bid);
    event BuyoutRejected(uint256 indexed rejectionValuation);
    event CuratorFeeUpdated(uint256 indexed fee);
    event Buy(address indexed buyer, uint256 indexed continousTokenAmount, uint256 indexed reserveTokenAmt);
    event Sell(address indexed seller, uint256 indexed continousTokenAmount, uint256 indexed reserveTokenAmt);
    event ERC1155LinkCreated(address indexed link, address indexed vault);

    function initialize(string memory _tokenName, string memory _tokenSymbol, address _assetAddress, uint256 _assetID, address _curator, uint256 _initialTokenSupply, uint256 _initialTokenPrice, uint256 _minBuyoutTime) external payable;
    function buy(uint256 _minAmtOut, address _to) external payable returns(uint256 _purchaseReturn);
    function sell(uint256 _amtIn, uint256 _minAmtOut, address payable _to) external returns(uint256 _saleReturn);
    function initiateBuyout() external payable returns(uint256 _buyoutBid);
    function withdrawUnsettledBids(address payable _to) external;
    function redeem(address payable _to) external returns(uint256 _amtOut);
    function redeemCuratorFee(address payable _to) external returns(uint256 _feeAccruedCurator);
    function updateCurator(address _newCurator) external;
    function withdrawERC721(address _assetAddress, uint256 _assetID, address _to) external;
    function withdrawERC20(address _asset, address _to) external;
    function withdrawERC1155(address _asset, uint256 _assetID, address _to) external;
}
// File: contracts/core/Interfaces/INibblVaultFactory.sol



// SPDX-License-Identifier: BUSL-1.1

pragma solidity 0.8.10;
interface INibblVaultFactory {
    event Fractionalise(address assetAddress, uint256 assetTokenID, address proxyVault);
    event BasketCreated(address indexed _curator, address indexed _basket);

    function createVault(address _assetAddress, address _curator, string memory _name, string memory _symbol, uint256 _assetTokenID, uint256 _initialSupply, uint256 _initialTokenPrice, uint256 _minBuyoutTime) external payable returns(address payable _proxyVault);
    function withdrawAdminFee() external;
    function proposeNewAdminFeeAddress(address _newFeeAddress) external;
    function updateNewAdminFeeAddress() external;
    function proposeNewAdminFee(uint256 _newFee) external;
    function updateNewAdminFee() external;
    function proposeNewVaultImplementation(address _newVaultImplementation) external;
    function updateVaultImplementation() external;
    function pause() external;
    function unPause() external;
    function createBasket(address _curator, string memory _mix) external returns(address);
    function getBasketAddress(address _curator, string memory _mix) external view returns(address);
    function proposeNewBasketImplementation(address _newBasketImplementation) external;
    function updateBasketImplementation() external;

}
// File: contracts/core/NibblVault.sol




// SPDX-License-Identifier: BUSL-1.1

pragma solidity 0.8.10;

import { ERC20Upgradeable } from "@openzeppelin/contracts-upgradeable/token/ERC20/ERC20Upgradeable.sol";
import { BancorFormula } from "./Bancor/BancorFormula.sol";
import { IERC721 } from "@openzeppelin/contracts/token/ERC721/IERC721.sol";
import { IERC1155 } from "@openzeppelin/contracts/token/ERC1155/IERC1155.sol";
import { IERC20 } from "@openzeppelin/contracts/token/ERC20/IERC20.sol";
import { SafeERC20 } from "@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol";
import { NibblVaultFactory } from "./NibblVaultFactory.sol";
import { Twav } from "./Twav/Twav.sol";
import { EIP712Base } from "./Utilities/EIP712Base.sol";
import { INibblVault } from "./Interfaces/INibblVault.sol";

/// @title Vault to lock NFTs and fractionalize ERC721 to ERC20.
/// @dev This contract uses Bancor Formula to create an automated market for fractionalized ERC20s.
/// @dev This contract creates 2 bonding curves, referred to as primary curve and secondary curve.
/// @dev The primary curve has fixed specifications and reserveRatio.
/// @dev The secondary curve is dynamic and has a variable reserveRatio, which depends on initial conditions given by the curator and the fee accumulated by the curve.
contract NibblVault is INibblVault, BancorFormula, ERC20Upgradeable, Twav, EIP712Base {

    using SafeERC20 for IERC20;

    /// @notice Scale for calculations to avoid rounding errors
    uint256 private constant SCALE = 1_000_000; 

    /// @notice Reserve ratio of primary curve 
    /// @dev primaryReserveRatio has been multiplied with SCALE
    /// @dev primaryReserveRatio lies between 0 and 1_000_000, 500_000 is equivalent to 50% reserve ratio
    uint32 private constant primaryReserveRatio = 300_000; //30%
    
    /// @notice The premium percentage above the buyoutBid at which the buyout is rejected
    /// @dev REJECTION_PREMIUM has been multiplied with SCALE
    /// @dev REJECTION_PREMIUM lies between 0 and 1_000_000, i.e. 100_000 means 10%
    /// @dev if REJECTION_PREMIUM is 15% and the buyoutBid is 100, then the buyout is rejected when the valuation reaches 115
    uint256 private constant REJECTION_PREMIUM = 150_000; //15%

    /// @notice The days until which a buyout bid is valid, if the bid isn't rejected in buyout duration time, its automatically considered boughtOut
    uint256 private constant BUYOUT_DURATION = 4 days; 


    /// @notice minimum reserve ratio that the secondary curve can have initially 
    uint256 private constant MIN_SECONDARY_RESERVE_RATIO = 50_000;

    /// @notice minimum curator fee that the curator will get on adding minimal liquidity to the secondary curve
    uint256 private constant MIN_CURATOR_FEE = 7_500; //.75%

    uint256 private constant CURATOR_FEE_VARIABLE = 7_500; //.75%
    
    uint256 private constant MAX_CURATOR_FEE = 15_000; //1.5%

    /// @notice minimum reserve balance that the secondary curve can have initially 
    uint256 private constant MIN_SECONDARY_RESERVE_BALANCE = 1e9;

    bytes32 private constant PERMIT_TYPEHASH = 0x6e71edae12b1b97f4d1f60370fef10105fa2faae0126114a169c64845d6126c9;
    // bytes32 private constant PERMIT_TYPEHASH = keccak256("Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)");

    /// @notice The percentage of fee that goes for liquidity in lower curve until its reserve ratio becomes equal to primaryReserveRatio
    uint256 private curveFee;

    /// @notice The reserve ratio of the secondary curve.
    /// @dev secondaryReserveRatio has been multiplied with SCALE
    /// @dev secondary reserve ratio is dynamic and it can be <= primaryReserveRatio
    uint32 public secondaryReserveRatio;

    /// @notice address of the factory contract
    address payable public factory;

    /// @notice address of the original NFT owner
    address public curator; 

    /// @notice token address of the NFT being deposited in the vault
    address public assetAddress;

    /// @notice token ID of the NFT being deposited in the vault  
    uint256 public assetID;

    /// @notice address which triggered the buyout
    address public bidder; 

    /// @notice initial price of the fractional ERC20 Token set by the curator
    uint256 public initialTokenPrice;

    /// @notice fictitious primary reserve balance, this is used for calculation purposes of trading on primary bonding curve.
    /// @dev This variable defines the amount of reserve token that should be in the secondary curve if secondaryReserveRatio == primaryReserveRatio
    /// @dev This variable also defines the amount of reserve token that should be in the primary curve if the primary curve started from 0 and went till initialTokenSupply 
    uint256 public fictitiousPrimaryReserveBalance;

    /// @notice the valuation at which the buyout is rejected.
    uint256 public buyoutRejectionValuation; 
    
    /// @notice deposit made by bidder to initiate buyout 
    /// @dev buyoutValuationDeposit = currentValuation - ((reserveTokens in primary curve) + (reserveTokens in secondary curve))
    uint256 public buyoutValuationDeposit; 
    
    /// @notice initial token supply minted by curator
    uint256 public initialTokenSupply; 
    
    /// @notice reserve balance of the primary curve
    uint256 public primaryReserveBalance;
    
    /// @notice reserve balance of the secondary curve
    uint256 public secondaryReserveBalance;
    
    /// @notice total value of unclaimed fees accrued to the curator via trading on the bonding curve
    uint256 public feeAccruedCurator; 
    
    /// @notice the time at which the current buyout ends
    uint256 public buyoutEndTime; 
    
    /// @notice valuation at which the buyout was triggered
    uint256 public buyoutBid;

    /// @notice percentage of trading fee on the bonding curve that goes to the curator
    uint256 public curatorFee;

    /// @notice total value of unclaimed buyout bids
    uint256 public totalUnsettledBids; 

    /// @notice minimum time after which buyout can be triggered
    uint256 public minBuyoutTime;

    /// @notice mapping of buyout bidders and their respective unsettled bids
    mapping(address => uint256) public unsettledBids; 
    mapping(address => uint256) public nonces; 
    
    enum Status {initialized, buyout}

    ///@notice current status of vault
    Status public status;

    ///@notice reentrancy guard
    uint256 private unlocked = 2;

    string public imageUrl;

    modifier lock() {
        require(unlocked == 1, 'NibblVault: LOCKED');
        unlocked = 2;
        _;
        unlocked = 1;
    }


    /// @notice To check if buyout hasn't succeeded
    /// @dev Check for the case when buyoutTime has not passed or buyout has been rejected
    modifier notBoughtOut() {
        require(buyoutEndTime > block.timestamp || buyoutEndTime == 0,'NibblVault: Bought Out');
        _;
    }

    /// @notice To check if buyout has succeeded
    /// @dev For the case when buyoutTime has passed and buyout has not been rejected
    modifier boughtOut() {
        require(status == Status.buyout, "NibblVault: status != buyout");
        require(buyoutEndTime <= block.timestamp, "NibblVault: buyoutEndTime <= now");
        _;
    }

    /// @notice To check if system isn't paused
    /// @dev pausablity implemented in factory
    modifier whenNotPaused() {
        require(!NibblVaultFactory(factory).paused(), 'NibblVault: Paused');
        _;
    }

    constructor () {
        _disableInitializers();
    }

    /// @notice the function to initialize proxy vault parameters
    /// @param _tokenName name of the fractionalized ERC20 token to be created
    /// @param _tokenSymbol symbol of the fractionalized ERC20 token
    /// @param _assetAddress address of the ERC721 being fractionalized
    /// @param _assetID tokenId of the ERC721 being fractionalized
    /// @param _curator owner of the asset getting fractionalized
    /// @param _initialTokenSupply desired initial supply to be minted to curator
    /// @param _initialTokenPrice desired initial token price set by curator 
    /// @param  _minBuyoutTime minimum time after which buyout can be triggered 
    /// @dev valuation = price * supply
    /// @dev reserveBalance = valuation * reserveRatio
    /// @dev Reserve Ratio = Reserve Token Balance / (Continuous Token Supply x Continuous Token Price)
    /// @dev curatorFee is proportional to initialLiquidity added by user. 
    /// @dev curatorFee can be maximum of 2 * MinimumCuratorFee.

    function initialize(
        string memory _tokenName, 
        string memory _tokenSymbol, 
        address _assetAddress,
        uint256 _assetID,
        address _curator,
        uint256 _initialTokenSupply,
        uint256 _initialTokenPrice,
        uint256 _minBuyoutTime
    ) external override initializer payable {
        uint32 _secondaryReserveRatio = uint32((msg.value * SCALE * 1e18) / (_initialTokenSupply * _initialTokenPrice));
        require(_secondaryReserveRatio <= primaryReserveRatio, "NibblVault: Excess initial funds");
        require(_secondaryReserveRatio >= MIN_SECONDARY_RESERVE_RATIO, "NibblVault: secResRatio too low");
        INIT_EIP712("NibblVault", "1");
        __ERC20_init(_tokenName, _tokenSymbol);
        unlocked = 1;
        initialTokenPrice=_initialTokenPrice;
        factory = payable(msg.sender);
        assetAddress = _assetAddress;
        assetID = _assetID;
        curator = _curator;
        initialTokenSupply = _initialTokenSupply;
        uint256 _primaryReserveBalance = (primaryReserveRatio * _initialTokenSupply * _initialTokenPrice) / (SCALE * 1e18);
        primaryReserveBalance = _primaryReserveBalance;
        fictitiousPrimaryReserveBalance = _primaryReserveBalance;
        secondaryReserveBalance = msg.value;
        secondaryReserveRatio = _secondaryReserveRatio;
        //curator fee is proportional to the secondary reserve ratio/primaryReserveRatio i.e. initial liquidity added by curator
        curatorFee = (((_secondaryReserveRatio - MIN_SECONDARY_RESERVE_RATIO) * CURATOR_FEE_VARIABLE) / (primaryReserveRatio - MIN_SECONDARY_RESERVE_RATIO)) + MIN_CURATOR_FEE; //curator fee is proportional to the secondary reserve ratio/primaryReseveRatio i.e. initial liquidity added by curator
        curveFee = MAX_CURATOR_FEE - curatorFee;
        minBuyoutTime = _minBuyoutTime;
        _mint(_curator, _initialTokenSupply);
    }

    /// @notice Function used to charge fee on trades
    /// @dev There are 3 different fees charged - admin, curator and curve
    /// @dev Admin fee percentage is fetched from the factory contract and the fee charged is transferred to factory contract
    /// @dev Curator fee is fetched from curatorFee variable and total fee accrued is stored in feeAccruedCurator variable
    /// @dev Curve fee is fetched from the curveFee variable and is added to the secondaryReserveBalance variable
    /// @param _amount amount to charge fee on either a buy or sell order, fee is charged in reserve token
    /// @return the amount after fee is deducted
    function _chargeFee(uint256 _amount) private returns(uint256) {
        address payable _factory = factory;
        uint256 _adminFeeAmt = NibblVaultFactory(_factory).feeAdmin();
        uint256 _feeAdmin = (_amount * _adminFeeAmt) / SCALE ;
        uint256 _feeCurator = (_amount * curatorFee) / SCALE ;
        uint256 _feeCurve = (_amount * curveFee) / SCALE ;
        feeAccruedCurator += _feeCurator;
        //_maxSecondaryBalanceIncrease: is the max amount of secondary reserve balance that can be added to the vault
        //_maxSecondaryBalanceIncrease cannot be more than fictitiousPrimaryReserveBalance
        uint256 _maxSecondaryBalanceIncrease = fictitiousPrimaryReserveBalance - secondaryReserveBalance;
        // _feeCurve can't be higher than _maxSecondaryBalanceIncrease
        _feeCurve = _maxSecondaryBalanceIncrease > _feeCurve ? _feeCurve : _maxSecondaryBalanceIncrease; // the curve fee is capped so that secondaryReserveBalance <= fictitiousPrimaryReserveBalance
        secondaryReserveBalance = secondaryReserveBalance + _feeCurve;
        secondaryReserveRatio = uint32((secondaryReserveBalance * SCALE * 1e18) / (initialTokenSupply * initialTokenPrice)); //secondaryReserveRatio is updated on every trade 
        if(_feeAdmin > 0) {
            safeTransferETH(_factory, _feeAdmin); //Transfers admin fee to the factory contract
        }
        return _amount - (_feeAdmin + _feeCurator + _feeCurve);
    }

    /// @notice Function to charge fee in secondary curve
    /// @dev only admin and curator fee is charged in secondary curve
    /// @param _amount amount to charge fee on trade order, fee is charged in reserve token
    /// @return amount of tokens after fee is deducted
    function _chargeFeeSecondaryCurve(uint256 _amount) private returns(uint256) {
       address payable _factory = factory;
        uint256 _adminFeeAmt = NibblVaultFactory(_factory).feeAdmin();
        uint256 _feeAdmin = (_amount * _adminFeeAmt) / SCALE ;
        uint256 _feeCurator = (_amount * curatorFee) / SCALE ;
        feeAccruedCurator += _feeCurator;
        if(_adminFeeAmt > 0) {
            safeTransferETH(_factory, _feeAdmin); //Transfers admin fee to the factory contract
        }
        return _amount - (_feeAdmin + _feeCurator);
    }

    /// @notice Maximum number of reserve tokens that can be held on SecondaryCurve at current secondary reserve ratio
    /// @dev The max continuous tokens on SecondaryCurve is equal to initialTokenSupply
    /// @dev Reserve Token Balance = Reserve Ratio * (Continuous Token Supply x Continuous Token Price)
    function getMaxSecondaryCurveBalance() private view returns(uint256){
            return ((secondaryReserveRatio * initialTokenSupply * initialTokenPrice) / (1e18 * SCALE));
    }

    /// @notice gives current valuation of the system
    /// @dev valuation = price * supply
    /// @dev fictitiousPrimaryReserveBalance doesn't denote any actual reserve balance its just for calculation purpose
    /// @dev Actual reserve balance in primary curve = primaryReserveBalance - fictitiousPrimaryReserveBalance
    /// @dev Total reserve balance = Actual reserve balance in primary curve + secondaryReserveBalance
    /// @dev Total reserve balance = (primaryReserveBalance - fictitiousPrimaryReserveBalance) + secondaryReserveBalance
    /// @dev Valuation = (Continuous Token Supply x Continuous Token Price) = Reserve Token Balance / Reserve Ratio
    /// @dev Valuation = If current supply is on secondary curve we use secondaryReserveBalance and secondaryReserveRatio to calculate valuation else we use primary reserve ratio and balance
    /// @return Current valuation of the system
    function getCurrentValuation() private view returns(uint256) {
            return totalSupply() < initialTokenSupply ? (secondaryReserveBalance * SCALE /secondaryReserveRatio) : ((primaryReserveBalance) * SCALE  / primaryReserveRatio);
    }

    /// @notice function to buy tokens on the primary curve
    /// @param _amount amount of reserve tokens to buy continuous tokens
    /// @dev This is executed when current supply >= initial supply
    /// @dev _amount is charged with fee
    /// @dev _purchaseReturn is minted to _to
    /// @return _purchaseReturn Purchase return
    function _buyPrimaryCurve(uint256 _amount, uint256 _totalSupply) private returns (uint256 _purchaseReturn) {
        uint256 _amountIn = _chargeFee(_amount);
        uint256 _primaryReserveBalance = primaryReserveBalance;
        _purchaseReturn = _calculatePurchaseReturn(_totalSupply, _primaryReserveBalance, primaryReserveRatio, _amountIn);
        primaryReserveBalance = _primaryReserveBalance + _amountIn;
    }
    /// @notice function to buy tokens on secondary curve
    /// @param _amount amount of reserve tokens to buy continuous tokens
    /// @dev This is executed when current supply < initial supply
    /// @dev only admin and curator fee is charged in secondary curve
    /// @dev _purchaseReturn is minted to _to
    /// @return _purchaseReturn Purchase return
    function _buySecondaryCurve(uint256 _amount, uint256 _totalSupply) private returns (uint256 _purchaseReturn) {
        uint256 _amountIn = _chargeFeeSecondaryCurve(_amount);
        uint256 _secondaryReserveBalance = secondaryReserveBalance;
        _purchaseReturn = _calculatePurchaseReturn(_totalSupply, _secondaryReserveBalance, secondaryReserveRatio, _amountIn);
        secondaryReserveBalance = _secondaryReserveBalance + _amountIn;
    }

    /// @notice The function to buy fractional tokens for reserveTokens
    /// @dev TWAV is updated only if buyout is active and only on first buy or sell txs of block.
    /// @dev It internally calls _buyPrimaryCurve or _buySecondaryCurve or both depending on the buyAmount and current supply
    /// @dev if current totalSupply < initialTokenSupply AND _amount to buy tokens for is greater than (maxSecondaryCurveBalance - currentSecondaryCurveBalance) then buy happens on secondary curve and primary curve both
    /// @param _minAmtOut Minimum amount of continuous token user receives, else the tx fails.
    /// @param _to Address to mint the purchase return to
    function buy(uint256 _minAmtOut, address _to) external override payable notBoughtOut lock whenNotPaused returns(uint256 _purchaseReturn) {
        //Make update on the first tx of the block
        if (status == Status.buyout) {
            uint32 _blockTimestamp = uint32(block.timestamp % 2**32);
            if (_blockTimestamp != lastBlockTimeStamp) {
                _updateTWAV(getCurrentValuation(), _blockTimestamp);   
                _rejectBuyout();
            }
        }
        uint256 _totalSupply = totalSupply();
        if (_totalSupply >= initialTokenSupply) {
            _purchaseReturn = _buyPrimaryCurve(msg.value, _totalSupply);
        } else {
            uint256 _lowerCurveDiff = getMaxSecondaryCurveBalance() - secondaryReserveBalance;
            if (_lowerCurveDiff >= msg.value) {
                _purchaseReturn = _buySecondaryCurve(msg.value, _totalSupply);
            } else {
                //Gas Optimization
                _purchaseReturn = initialTokenSupply - _totalSupply;
                secondaryReserveBalance += _lowerCurveDiff;
                // _purchaseReturn = _buySecondaryCurve(_to, _lowerCurveDiff);
                _purchaseReturn += _buyPrimaryCurve(msg.value - _lowerCurveDiff, _totalSupply + _purchaseReturn);
            } 
        }
        require(_minAmtOut <= _purchaseReturn, "NibblVault: Return too low");
        _mint(_to, _purchaseReturn);
        emit Buy(msg.sender, _purchaseReturn, msg.value);
    }

    /// @notice The function to sell fractional tokens on primary curve
    /// @dev Executed when currentSupply > initialSupply
    /// @dev _amount is charged with fee
    /// @param _amount Amount of tokens to be sold on primary curve
    /// @return _saleReturn Sale Return
    function _sellPrimaryCurve(uint256 _amount, uint256 _totalSupply) private returns(uint256 _saleReturn) {
        uint256 _primaryReserveBalance = primaryReserveBalance;
        _saleReturn = _calculateSaleReturn(_totalSupply, _primaryReserveBalance, primaryReserveRatio, _amount);
        primaryReserveBalance = _primaryReserveBalance - _saleReturn;
        _saleReturn = _chargeFee(_saleReturn);
    }

    /// @notice The function to sell fractional tokens on secondary curve
    /// @dev Executed when current supply <= initial supply
    /// @dev only admin and curator fee is charged in secondary curve
    /// @param _amount Amount of tokens to be sold on SecondaryCurve
    ///  @return _saleReturn Sale Return
    function _sellSecondaryCurve(uint256 _amount, uint256 _totalSupply) private returns(uint256 _saleReturn){
        uint256 _secondaryReserveBalance = secondaryReserveBalance;
        _saleReturn = _calculateSaleReturn(_totalSupply, _secondaryReserveBalance, secondaryReserveRatio, _amount);
        secondaryReserveBalance = _secondaryReserveBalance - _saleReturn;
        require(_secondaryReserveBalance - _saleReturn >= MIN_SECONDARY_RESERVE_BALANCE, "NibblVault: Excess sell");
        _saleReturn = _chargeFeeSecondaryCurve(_saleReturn);
    }

    /// @notice The function to sell fractional tokens for reserve token
    /// @dev TWAV is updated only if buyout is active and only on first buy or sell txs of block.
    /// @dev internally calls _sellPrimaryCurve or _sellSecondaryCurve or both depending on the sellAmount and current supply
    /// @dev if totalSupply > initialTokenSupply AND _amount to sell is greater than (_amtIn > totalSupply - initialTokenSupply) then sell happens on primary curve and secondary curve both
    /// @param _amtIn continuous Tokens to be sold
    /// @param _minAmtOut Minimum amount of reserve token user receives, else the tx fails.
    /// @param _to Address to receive the reserve token to
    function sell(uint256 _amtIn, uint256 _minAmtOut, address payable _to) external override notBoughtOut whenNotPaused lock returns(uint256 _saleReturn) {
        //Make update on the first tx of the block
        if (status == Status.buyout) {
            uint32 _blockTimestamp = uint32(block.timestamp % 2**32);

            if (_blockTimestamp >= lastBlockTimeStamp) {
                _updateTWAV(getCurrentValuation(), _blockTimestamp);   
                _rejectBuyout(); //For the case when TWAV goes up when updated on sell
            }
        }
        uint256 _initialTokenSupply = initialTokenSupply;
        uint256 _totalSupply = totalSupply();
        if(_totalSupply > _initialTokenSupply) {
            if ((_initialTokenSupply + _amtIn) <= _totalSupply) {
                _saleReturn = _sellPrimaryCurve(_amtIn, _totalSupply);
            } else {
                //Gas Optimization
                uint256 _tokensPrimaryCurve = _totalSupply - _initialTokenSupply;
                _saleReturn = primaryReserveBalance - fictitiousPrimaryReserveBalance;
                primaryReserveBalance -= _saleReturn;
                _saleReturn = _chargeFee(_saleReturn);
                // _saleReturn = _sellPrimaryCurve(_tokensPrimaryCurve);
                _saleReturn += _sellSecondaryCurve(_amtIn - _tokensPrimaryCurve, _initialTokenSupply);
            } } else {
                _saleReturn = _sellSecondaryCurve(_amtIn,_totalSupply);
        }
        require(_saleReturn >= _minAmtOut, "NibblVault: Return too low");
        _burn(msg.sender, _amtIn);
        safeTransferETH(_to, _saleReturn); //send _saleReturn to _to
        emit Sell(msg.sender, _amtIn, _saleReturn);
    }

    /// @notice Function to initiate buyout of ERC721
    /// @dev buyoutBid is set to current valuation
    /// @dev bidder needs to send funds equal to current valuation - ((primaryReserveBalance - fictitiousPrimaryReserveBalance) + secondaryReserveBalance) to initiate buyout
    /// This ensures that the original bidder doesn't need to support the whole valuation and liquidity in reserve can be used as well.
    /// Buyout is initiated only when total bid amount >= currentValuation but extra funds over currentValuation are sent back to bidder.
    function initiateBuyout() external override payable whenNotPaused returns(uint256 _buyoutBid) {
        require(block.timestamp >= minBuyoutTime, "NibblVault: minBuyoutTime < now");
        require(status == Status.initialized, "NibblVault: Status!=initialized");
        _buyoutBid = msg.value + (primaryReserveBalance - fictitiousPrimaryReserveBalance) + secondaryReserveBalance;
        //_buyoutBid: Bid User has made
        uint256 _currentValuation = getCurrentValuation();
        require(_buyoutBid >= _currentValuation, "NibblVault: Bid too low");
        // buyoutValuationDeposit = _currentValuation - ((primaryReserveBalance - fictitiousPrimaryReserveBalance) + secondaryReserveBalance); 
        buyoutValuationDeposit = msg.value - (_buyoutBid - _currentValuation);
        bidder = msg.sender;
        buyoutBid = _currentValuation;
        // buyoutBid: Bid can only be placed at current valuation
        buyoutRejectionValuation = (_currentValuation * (SCALE + REJECTION_PREMIUM)) / SCALE;
        buyoutEndTime = block.timestamp + BUYOUT_DURATION;
        status = Status.buyout;
        _updateTWAV(_currentValuation, uint32(block.timestamp % 2**32));
        if (_buyoutBid > _currentValuation) {
            safeTransferETH(payable(msg.sender), (_buyoutBid - _currentValuation));
        }
        emit BuyoutInitiated(msg.sender, _buyoutBid);
    }

    /// @notice Function to reject buyout
    /// @dev Triggered when someone buys tokens and curve valuation increases
    /// @dev If TWAV >= Buyout rejection valuation then the buyout is rejected
    /// @dev Called only when TWAV is updated
    function _rejectBuyout() private notBoughtOut {
        uint256 _twav = _getTwav();
        if (_twav >= buyoutRejectionValuation) {
            uint256 _buyoutValuationDeposit = buyoutValuationDeposit;
            unsettledBids[bidder] += _buyoutValuationDeposit;
            totalUnsettledBids += _buyoutValuationDeposit;
            delete buyoutRejectionValuation;
            delete buyoutEndTime;
            delete bidder;
            delete twavObservations;
            delete twavObservationsIndex;
            delete lastBlockTimeStamp;
            status = Status.initialized;
            emit BuyoutRejected(_twav);
        }
    }

    function setURL(string memory _url) public {
        require(msg.sender == curator, "NibblVault: Only Curator");
        require(bytes(imageUrl).length == 0, "NibblVault: Already set");
        imageUrl = _url;
    }

    /// @notice Function to allow withdrawal of unsettledBids after buyout has been rejected
    /// @param _to Address to receive the funds
    function withdrawUnsettledBids(address payable _to) external override {
        uint256 _amount = unsettledBids[msg.sender];
        delete unsettledBids[msg.sender];
        totalUnsettledBids -= _amount;
        safeTransferETH(_to, _amount);
    }

    /// @notice Function for tokenholders to redeem their tokens for reserve token in case of buyout success
    /// @dev The redeemed reserve token are in proportion to the token supply someone owns
    /// @dev The amount available for redemption is contract balance - (total unsettled bid and curator fees accrued)
    function redeem(address payable _to) external override boughtOut returns(uint256 _amtOut){
        uint256 _balance = balanceOf(msg.sender);
        _amtOut = ((address(this).balance - feeAccruedCurator - totalUnsettledBids) * _balance) / totalSupply();
        _burn(msg.sender, _balance);
        safeTransferETH(_to, _amtOut);
    }

    /// @notice Function to allow curator to redeem accumulated curator fee.
    /// @param _to the address where curator fee will be sent
    /// @dev can only be called by curator
    function redeemCuratorFee(address payable _to) external override returns(uint256 _feeAccruedCurator) {
        require(msg.sender == curator,"NibblVault: Only Curator");
        _feeAccruedCurator = feeAccruedCurator;
        feeAccruedCurator = 0;
        safeTransferETH(_to, _feeAccruedCurator);
    }


    /// @notice to update the curator address
    /// @param _newCurator new curator address 
    /// @dev can only be called by curator
    function updateCurator(address _newCurator) external override {
        require(msg.sender == curator,"NibblVault: Only Curator");
        curator = _newCurator;
    }


    /// @notice Function for allowing bidder to unlock his ERC721 in case of buyout success
    /// @param _assetAddress the address of asset to be unlocked
    /// @param _assetID the ID of asset to be unlocked
    /// @param _to the address where unlocked NFT will be sent
    function withdrawERC721(address _assetAddress, uint256 _assetID, address _to) external override boughtOut {
        require(msg.sender == bidder,"NibblVault: Only winner");
        IERC721(_assetAddress).safeTransferFrom(address(this), _to, _assetID);
    }

    ///@notice withdraw multiple ERC721s
    /// @param _assetAddresses the addresses of assets to be unlocked
    /// @param _assetIDs the IDs of assets to be unlocked
    /// @param _to the address where unlocked NFT will be sent
    function withdrawMultipleERC721(address[] calldata _assetAddresses, uint256[] calldata _assetIDs, address _to) external override boughtOut {
        require(msg.sender == bidder,"NibblVault: Only winner");
        uint256 _length = _assetAddresses.length;
        for (uint256 i; i < _length; ++i) {
            IERC721(_assetAddresses[i]).safeTransferFrom(address(this), _to, _assetIDs[i]);
        }
    }

    /// @notice Function for allowing bidder to unlock his ERC20s in case of buyout success
    /// @notice ERC20s can be accumulated by the underlying ERC721 in the vault as royalty or airdrops 
    /// @param _asset the address of asset to be unlocked
    /// @param _to the address where unlocked NFT will be sent
    function withdrawERC20(address _asset, address _to) external override boughtOut {
        require(msg.sender == bidder, "NibblVault: Only winner");
        IERC20(_asset).safeTransfer(_to, IERC20(_asset).balanceOf(address(this)));
    }

    /// @notice withdraw multiple ERC20s
    /// @param _assets the addresses of assets to be unlocked
    /// @param _to the address where unlocked NFTs will be sent
    function withdrawMultipleERC20(address[] calldata _assets, address _to) external override boughtOut {
        require(msg.sender == bidder, "NibblVault: Only winner");
        uint256 _length = _assets.length;
        for (uint256 i; i < _length; ++i) {
            IERC20(_assets[i]).safeTransfer(_to, IERC20(_assets[i]).balanceOf(address(this)));
        }
    }

    /// @notice Function for allowing bidder to unlock his ERC1155s in case of buyout success
    /// @notice ERC1155s can be accumulated by the underlying ERC721 in the vault as royalty or airdrops 
    /// @param _asset the address of asset to be unlocked
    /// @param _assetID the ID of asset to be unlocked
    /// @param _to the address where unlocked NFT will be sent
    function withdrawERC1155(address _asset, uint256 _assetID, address _to) external override boughtOut {
        require(msg.sender == bidder, "NibblVault: Only winner");
        uint256 balance = IERC1155(_asset).balanceOf(address(this),  _assetID);
        IERC1155(_asset).safeTransferFrom(address(this), _to, _assetID, balance, "0");
    }

    /// @notice withdraw multiple ERC1155s
    /// @param _assets the addresses of assets to be unlocked
    /// @param _assetIDs the IDs of assets to be unlocked
    /// @param _to the address where unlocked NFT will be sent
    function withdrawMultipleERC1155(address[] calldata _assets, uint256[] calldata _assetIDs, address _to) external override boughtOut {
        require(msg.sender == bidder, "NibblVault: Only winner");
        uint256 _length = _assets.length;
        for (uint256 i; i < _length; ++i) {
            uint256 balance = IERC1155(_assets[i]).balanceOf(address(this),  _assetIDs[i]);
            IERC1155(_assets[i]).safeTransferFrom(address(this), _to, _assetIDs[i], balance, "0");
        }
    }
    function permit(
        address owner,
        address spender,
        uint256 value,
        uint256 deadline,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) external override {
        require(owner != address(0));
        require(block.timestamp <= deadline, "NibblVault: expired deadline");
        bytes32 structHash = keccak256(abi.encode(PERMIT_TYPEHASH, owner, spender, value, nonces[owner]++, deadline));
        address signer = ecrecover(toTypedMessageHash(structHash), v, r, s);
        require(signer == owner, "NibblVault: invalid signature");
        _approve(owner, spender, value);
    }
    
    function safeTransferETH(address payable _to, uint256 _amount) private {
        (bool success, ) = _to.call{value: _amount}("");
        require(success, "NibblVault: ETH transfer failed");
    }

    function onERC721Received( address, address, uint256, bytes calldata ) external pure returns (bytes4) {
        return this.onERC721Received.selector;
    }

    function onERC1155Received(address, address, uint256, uint256, bytes memory) external pure returns (bytes4) {
        return this.onERC1155Received.selector;
    }

    function onERC1155BatchReceived(address, address, uint256[] memory, uint256[] memory, bytes memory) external pure returns (bytes4) {
        return this.onERC1155BatchReceived.selector;
    }

    receive() external payable {}
}
// File: contracts/core/NibblVault2.sol




// SPDX-License-Identifier: BUSL-1.1

pragma solidity 0.8.10;

import { ERC20Upgradeable } from "@openzeppelin/contracts-upgradeable/token/ERC20/ERC20Upgradeable.sol";
import { BancorFormula } from "./Bancor/BancorFormula.sol";
import { IERC721 } from "@openzeppelin/contracts/token/ERC721/IERC721.sol";
import { IERC1155 } from "@openzeppelin/contracts/token/ERC1155/IERC1155.sol";
import { IERC20 } from "@openzeppelin/contracts/token/ERC20/IERC20.sol";
import { SafeERC20 } from "@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol";
import { NibblVaultFactory } from "./NibblVaultFactory.sol";
import { Twav2 } from "./Twav/Twav2.sol";
import { EIP712Base } from "./Utilities/EIP712Base.sol";
import { INibblVault2 } from "./Interfaces/INibblVault2.sol";
import { ERC1155Link } from "./ERC1155Link.sol";
import { ProxyERC1155Link } from "./Proxy/ProxyERC1155Link.sol";

/// @title Vault to lock NFTs and fractionalize ERC721 to ERC20.
/// @dev This contract uses Bancor Formula to create an automated market for fractionalized ERC20s.
/// @dev This contract creates 2 bonding curves, referred to as primary curve and secondary curve.
/// @dev The primary curve has fixed specifications and reserveRatio.
/// @dev The secondary curve is dynamic and has a variable reserveRatio, which depends on initial conditions given by the curator and the fee accumulated by the curve.
contract NibblVault2 is INibblVault2, BancorFormula, ERC20Upgradeable, Twav2 {

    using SafeERC20 for IERC20;

    bytes32 storageFill; //Storage fill for previously inherited EIP712Base

    /// @notice Scale for calculations to avoid rounding errors
    uint256 private constant SCALE = 1_000_000; 

    /// @notice Reserve ratio of primary curve 
    /// @dev primaryReserveRatio has been multiplied with SCALE
    /// @dev primaryReserveRatio lies between 0 and 1_000_000, 500_000 is equivalent to 50% reserve ratio
    uint32 private constant primaryReserveRatio = 300_000; //30%
    
    /// @notice The premium percentage above the buyoutBid at which the buyout is rejected
    /// @dev REJECTION_PREMIUM has been multiplied with SCALE
    /// @dev REJECTION_PREMIUM lies between 0 and 1_000_000, i.e. 100_000 means 10%
    /// @dev if REJECTION_PREMIUM is 15% and the buyoutBid is 100, then the buyout is rejected when the valuation reaches 115
    uint256 private constant REJECTION_PREMIUM = 150_000; //15%

    /// @notice The days until which a buyout bid is valid, if the bid isn't rejected in buyout duration time, its automatically considered boughtOut
    uint256 private constant BUYOUT_DURATION = 4 days; 


    /// @notice minimum reserve ratio that the secondary curve can have initially 
    uint256 private constant MIN_SECONDARY_RESERVE_RATIO = 50_000;

    /// @notice minimum curator fee that the curator will get on adding minimal liquidity to the secondary curve
    uint256 private constant MIN_CURATOR_FEE = 7_500; //.75%

    uint256 private constant CURATOR_FEE_VARIABLE = 7_500; //.75%
    
    uint256 private constant MAX_CURATOR_FEE = 15_000; //1.5%

    /// @notice minimum reserve balance that the secondary curve can have initially 
    uint256 private constant MIN_SECONDARY_RESERVE_BALANCE = 1e9;

    // bytes32 private constant PERMIT_TYPEHASH = 0x6e71edae12b1b97f4d1f60370fef10105fa2faae0126114a169c64845d6126c9;
    // bytes32 private constant PERMIT_TYPEHASH = keccak256("Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)");
    address public immutable nibblERC1155LinkImplementation;

    /// @notice The percentage of fee that goes for liquidity in lower curve until its reserve ratio becomes equal to primaryReserveRatio
    uint256 private curveFee;

    /// @notice The reserve ratio of the secondary curve.
    /// @dev secondaryReserveRatio has been multiplied with SCALE
    /// @dev secondary reserve ratio is dynamic and it can be <= primaryReserveRatio
    uint32 public secondaryReserveRatio;

    /// @notice address of the factory contract
    address payable public factory;

    /// @notice address of the original NFT owner
    address public curator; 

    /// @notice token address of the NFT being deposited in the vault
    address public assetAddress;

    /// @notice token ID of the NFT being deposited in the vault  
    uint256 public assetID;

    /// @notice address which triggered the buyout
    address public bidder; 

    /// @notice initial price of the fractional ERC20 Token set by the curator
    uint256 public initialTokenPrice;

    /// @notice fictitious primary reserve balance, this is used for calculation purposes of trading on primary bonding curve.
    /// @dev This variable defines the amount of reserve token that should be in the secondary curve if secondaryReserveRatio == primaryReserveRatio
    /// @dev This variable also defines the amount of reserve token that should be in the primary curve if the primary curve started from 0 and went till initialTokenSupply 
    uint256 public fictitiousPrimaryReserveBalance;

    /// @notice the valuation at which the buyout is rejected.
    uint256 public buyoutRejectionValuation; 
    
    /// @notice deposit made by bidder to initiate buyout 
    /// @dev buyoutValuationDeposit = currentValuation - ((reserveTokens in primary curve) + (reserveTokens in secondary curve))
    uint256 public buyoutValuationDeposit; 
    
    /// @notice initial token supply minted by curator
    uint256 public initialTokenSupply; 
    
    /// @notice reserve balance of the primary curve
    uint256 public primaryReserveBalance;
    
    /// @notice reserve balance of the secondary curve
    uint256 public secondaryReserveBalance;
    
    /// @notice total value of unclaimed fees accrued to the curator via trading on the bonding curve
    uint256 public feeAccruedCurator; 
    
    /// @notice the time at which the current buyout ends
    uint256 public buyoutEndTime; 
    
    /// @notice valuation at which the buyout was triggered
    uint256 public buyoutBid;

    /// @notice percentage of trading fee on the bonding curve that goes to the curator
    uint256 public curatorFee;

    /// @notice total value of unclaimed buyout bids
    uint256 public totalUnsettledBids; 

    /// @notice minimum time after which buyout can be triggered
    uint256 public minBuyoutTime;

    /// @notice mapping of buyout bidders and their respective unsettled bids
    mapping(address => uint256) public unsettledBids; 
    mapping(address => uint256) public nonces; 
    
    enum Status {initialized, buyout}

    ///@notice current status of vault
    Status public status;

    ///@notice reentrancy guard
    uint256 private unlocked;

    string public imageUrl;

    address public nibblERC1155Link;

    modifier lock() {
        require(unlocked == 1, 'NibblVault: LOCKED');
        unlocked = 2;
        _;
        unlocked = 1;
    }


    /// @notice To check if buyout hasn't succeeded
    /// @dev Check for the case when buyoutTime has not passed or buyout has been rejected
    modifier notBoughtOut() {
        require(buyoutEndTime > block.timestamp || buyoutEndTime == 0,'NibblVault: Bought Out');
        _;
    }

    /// @notice To check if buyout has succeeded
    /// @dev For the case when buyoutTime has passed and buyout has not been rejected
    modifier boughtOut() {
        require(status == Status.buyout, "NibblVault: status != buyout");
        require(buyoutEndTime <= block.timestamp, "NibblVault: buyoutEndTime <= now");
        _;
    }

    /// @notice To check if system isn't paused
    /// @dev pausablity implemented in factory
    modifier whenNotPaused() {
        require(!NibblVaultFactory(factory).paused(), 'NibblVault: Paused');
        _;
    }

    modifier onlyCurator() {
        require(msg.sender == curator,"NibblVault: Only Curator");
        _;
    }

    modifier onlyBidder() {
        require(msg.sender == bidder,"NibblVault: Only winner");
        _;
    }

    constructor (address _nibblERC1155LinkImplementation) {
        nibblERC1155LinkImplementation = _nibblERC1155LinkImplementation;
        _disableInitializers();
    }

    /// @notice the function to initialize proxy vault parameters
    /// @param _tokenName name of the fractionalized ERC20 token to be created
    /// @param _tokenSymbol symbol of the fractionalized ERC20 token
    /// @param _assetAddress address of the ERC721 being fractionalized
    /// @param _assetID tokenId of the ERC721 being fractionalized
    /// @param _curator owner of the asset getting fractionalized
    /// @param _initialTokenSupply desired initial supply to be minted to curator
    /// @param _initialTokenPrice desired initial token price set by curator 
    /// @param  _minBuyoutTime minimum time after which buyout can be triggered 
    /// @dev valuation = price * supply
    /// @dev reserveBalance = valuation * reserveRatio
    /// @dev Reserve Ratio = Reserve Token Balance / (Continuous Token Supply x Continuous Token Price)
    /// @dev curatorFee is proportional to initialLiquidity added by user. 
    /// @dev curatorFee can be maximum of 2 * MinimumCuratorFee.

    function initialize(
        string memory _tokenName, 
        string memory _tokenSymbol, 
        address _assetAddress,
        uint256 _assetID,
        address _curator,
        uint256 _initialTokenSupply,
        uint256 _initialTokenPrice,
        uint256 _minBuyoutTime
    ) external override initializer payable {
        uint32 _secondaryReserveRatio = uint32((msg.value * SCALE * 1e18) / (_initialTokenSupply * _initialTokenPrice));
        require(_secondaryReserveRatio <= primaryReserveRatio, "NibblVault: Excess initial funds");
        require(_secondaryReserveRatio >= MIN_SECONDARY_RESERVE_RATIO, "NibblVault: secResRatio too low");
        __ERC20_init(_tokenName, _tokenSymbol);
        unlocked = 1;
        initialTokenPrice=_initialTokenPrice;
        factory = payable(msg.sender);
        assetAddress = _assetAddress;
        assetID = _assetID;
        curator = _curator;
        initialTokenSupply = _initialTokenSupply;
        uint256 _primaryReserveBalance = (primaryReserveRatio * _initialTokenSupply * _initialTokenPrice) / (SCALE * 1e18);
        primaryReserveBalance = _primaryReserveBalance;
        fictitiousPrimaryReserveBalance = _primaryReserveBalance;
        secondaryReserveBalance = msg.value;
        secondaryReserveRatio = _secondaryReserveRatio;
        //curator fee is proportional to the secondary reserve ratio/primaryReserveRatio i.e. initial liquidity added by curator
        curatorFee = (((_secondaryReserveRatio - MIN_SECONDARY_RESERVE_RATIO) * CURATOR_FEE_VARIABLE) / (primaryReserveRatio - MIN_SECONDARY_RESERVE_RATIO)) + MIN_CURATOR_FEE; //curator fee is proportional to the secondary reserve ratio/primaryReseveRatio i.e. initial liquidity added by curator
        curveFee = MAX_CURATOR_FEE - curatorFee;
        minBuyoutTime = _minBuyoutTime;
        _mint(_curator, _initialTokenSupply);
    }

    /// @notice Function used to charge fee on trades
    /// @dev There are 3 different fees charged - admin, curator and curve
    /// @dev Admin fee percentage is fetched from the factory contract and the fee charged is transferred to factory contract
    /// @dev Curator fee is fetched from curatorFee variable and total fee accrued is stored in feeAccruedCurator variable
    /// @dev Curve fee is fetched from the curveFee variable and is added to the secondaryReserveBalance variable
    /// @param _amount amount to charge fee on either a buy or sell order, fee is charged in reserve token
    /// @return the amount after fee is deducted
    function _chargeFee(uint256 _amount) private returns(uint256) {
        address payable _factory = factory;
        uint256 _adminFeeAmt = NibblVaultFactory(_factory).feeAdmin();
        uint256 _feeAdmin = (_amount * _adminFeeAmt) / SCALE ;
        uint256 _feeCurator = (_amount * curatorFee) / SCALE ;
        uint256 _feeCurve = (_amount * curveFee) / SCALE ;
        feeAccruedCurator += _feeCurator;
        //_maxSecondaryBalanceIncrease: is the max amount of secondary reserve balance that can be added to the vault
        //_maxSecondaryBalanceIncrease cannot be more than fictitiousPrimaryReserveBalance
        uint256 _maxSecondaryBalanceIncrease = fictitiousPrimaryReserveBalance - secondaryReserveBalance;
        // _feeCurve can't be higher than _maxSecondaryBalanceIncrease
        _feeCurve = _maxSecondaryBalanceIncrease > _feeCurve ? _feeCurve : _maxSecondaryBalanceIncrease; // the curve fee is capped so that secondaryReserveBalance <= fictitiousPrimaryReserveBalance
        secondaryReserveBalance = secondaryReserveBalance + _feeCurve;
        secondaryReserveRatio = uint32((secondaryReserveBalance * SCALE * 1e18) / (initialTokenSupply * initialTokenPrice)); //secondaryReserveRatio is updated on every trade 
        if(_feeAdmin > 0) {
            safeTransferETH(_factory, _feeAdmin); //Transfers admin fee to the factory contract
        }
        return _amount - (_feeAdmin + _feeCurator + _feeCurve);
    }

    /// @notice Function to charge fee in secondary curve
    /// @dev only admin and curator fee is charged in secondary curve
    /// @param _amount amount to charge fee on trade order, fee is charged in reserve token
    /// @return amount of tokens after fee is deducted
    function _chargeFeeSecondaryCurve(uint256 _amount) private returns(uint256) {
       address payable _factory = factory;
        uint256 _adminFeeAmt = NibblVaultFactory(_factory).feeAdmin();
        uint256 _feeAdmin = (_amount * _adminFeeAmt) / SCALE ;
        uint256 _feeCurator = (_amount * curatorFee) / SCALE ;
        feeAccruedCurator += _feeCurator;
        if(_adminFeeAmt > 0) {
            safeTransferETH(_factory, _feeAdmin); //Transfers admin fee to the factory contract
        }
        return _amount - (_feeAdmin + _feeCurator);
    }

    /// @notice Maximum number of reserve tokens that can be held on SecondaryCurve at current secondary reserve ratio
    /// @dev The max continuous tokens on SecondaryCurve is equal to initialTokenSupply
    /// @dev Reserve Token Balance = Reserve Ratio * (Continuous Token Supply x Continuous Token Price)
    function getMaxSecondaryCurveBalance() private view returns(uint256){
            return ((secondaryReserveRatio * initialTokenSupply * initialTokenPrice) / (1e18 * SCALE));
    }

    /// @notice gives current valuation of the system
    /// @dev valuation = price * supply
    /// @dev fictitiousPrimaryReserveBalance doesn't denote any actual reserve balance its just for calculation purpose
    /// @dev Actual reserve balance in primary curve = primaryReserveBalance - fictitiousPrimaryReserveBalance
    /// @dev Total reserve balance = Actual reserve balance in primary curve + secondaryReserveBalance
    /// @dev Total reserve balance = (primaryReserveBalance - fictitiousPrimaryReserveBalance) + secondaryReserveBalance
    /// @dev Valuation = (Continuous Token Supply x Continuous Token Price) = Reserve Token Balance / Reserve Ratio
    /// @dev Valuation = If current supply is on secondary curve we use secondaryReserveBalance and secondaryReserveRatio to calculate valuation else we use primary reserve ratio and balance
    /// @return Current valuation of the system
    function getCurrentValuation() private view returns(uint256) {
            return totalSupply() < initialTokenSupply ? (secondaryReserveBalance * SCALE /secondaryReserveRatio) : ((primaryReserveBalance) * SCALE  / primaryReserveRatio);
    }

    /// @notice function to buy tokens on the primary curve
    /// @param _amount amount of reserve tokens to buy continuous tokens
    /// @dev This is executed when current supply >= initial supply
    /// @dev _amount is charged with fee
    /// @dev _purchaseReturn is minted to _to
    /// @return _purchaseReturn Purchase return
    function _buyPrimaryCurve(uint256 _amount, uint256 _totalSupply) private returns (uint256 _purchaseReturn) {
        uint256 _amountIn = _chargeFee(_amount);
        uint256 _primaryReserveBalance = primaryReserveBalance;
        _purchaseReturn = _calculatePurchaseReturn(_totalSupply, _primaryReserveBalance, primaryReserveRatio, _amountIn);
        primaryReserveBalance = _primaryReserveBalance + _amountIn;
    }
    /// @notice function to buy tokens on secondary curve
    /// @param _amount amount of reserve tokens to buy continuous tokens
    /// @dev This is executed when current supply < initial supply
    /// @dev only admin and curator fee is charged in secondary curve
    /// @dev _purchaseReturn is minted to _to
    /// @return _purchaseReturn Purchase return
    function _buySecondaryCurve(uint256 _amount, uint256 _totalSupply) private returns (uint256 _purchaseReturn) {
        uint256 _amountIn = _chargeFeeSecondaryCurve(_amount);
        uint256 _secondaryReserveBalance = secondaryReserveBalance;
        _purchaseReturn = _calculatePurchaseReturn(_totalSupply, _secondaryReserveBalance, secondaryReserveRatio, _amountIn);
        secondaryReserveBalance = _secondaryReserveBalance + _amountIn;
    }

    /// @notice The function to buy fractional tokens for reserveTokens
    /// @dev TWAV is updated only if buyout is active and only on first buy or sell txs of block.
    /// @dev It internally calls _buyPrimaryCurve or _buySecondaryCurve or both depending on the buyAmount and current supply
    /// @dev if current totalSupply < initialTokenSupply AND _amount to buy tokens for is greater than (maxSecondaryCurveBalance - currentSecondaryCurveBalance) then buy happens on secondary curve and primary curve both
    /// @param _minAmtOut Minimum amount of continuous token user receives, else the tx fails.
    /// @param _to Address to mint the purchase return to
    function buy(uint256 _minAmtOut, address _to) external override payable notBoughtOut lock whenNotPaused returns(uint256 _purchaseReturn) {
        //Make update on the first tx of the block
        if (status == Status.buyout) {
            uint32 _blockTimestamp = uint32(block.timestamp % 2**32);
            if (_blockTimestamp >= lastBlockTimeStamp + period) {
                _updateTWAV(getCurrentValuation(), _blockTimestamp);   
                _rejectBuyout();
            }
        }
        uint256 _totalSupply = totalSupply();
        if (_totalSupply >= initialTokenSupply) {
            _purchaseReturn = _buyPrimaryCurve(msg.value, _totalSupply);
        } else {
            uint256 _lowerCurveDiff = getMaxSecondaryCurveBalance() - secondaryReserveBalance;
            if (_lowerCurveDiff >= msg.value) {
                _purchaseReturn = _buySecondaryCurve(msg.value, _totalSupply);
            } else {
                //Gas Optimization
                _purchaseReturn = initialTokenSupply - _totalSupply;
                secondaryReserveBalance += _lowerCurveDiff;
                // _purchaseReturn = _buySecondaryCurve(_to, _lowerCurveDiff);
                _purchaseReturn += _buyPrimaryCurve(msg.value - _lowerCurveDiff, _totalSupply + _purchaseReturn);
            } 
        }
        require(_minAmtOut <= _purchaseReturn, "NibblVault: Return too low");
        _mint(_to, _purchaseReturn);
        emit Buy(msg.sender, _purchaseReturn, msg.value);
    }

    /// @notice The function to sell fractional tokens on primary curve
    /// @dev Executed when currentSupply > initialSupply
    /// @dev _amount is charged with fee
    /// @param _amount Amount of tokens to be sold on primary curve
    /// @return _saleReturn Sale Return
    function _sellPrimaryCurve(uint256 _amount, uint256 _totalSupply) private returns(uint256 _saleReturn) {
        uint256 _primaryReserveBalance = primaryReserveBalance;
        _saleReturn = _calculateSaleReturn(_totalSupply, _primaryReserveBalance, primaryReserveRatio, _amount);
        primaryReserveBalance = _primaryReserveBalance - _saleReturn;
        _saleReturn = _chargeFee(_saleReturn);
    }

    /// @notice The function to sell fractional tokens on secondary curve
    /// @dev Executed when current supply <= initial supply
    /// @dev only admin and curator fee is charged in secondary curve
    /// @param _amount Amount of tokens to be sold on SecondaryCurve
    ///  @return _saleReturn Sale Return
    function _sellSecondaryCurve(uint256 _amount, uint256 _totalSupply) private returns(uint256 _saleReturn){
        uint256 _secondaryReserveBalance = secondaryReserveBalance;
        _saleReturn = _calculateSaleReturn(_totalSupply, _secondaryReserveBalance, secondaryReserveRatio, _amount);
        secondaryReserveBalance = _secondaryReserveBalance - _saleReturn;
        require(_secondaryReserveBalance - _saleReturn >= MIN_SECONDARY_RESERVE_BALANCE, "NibblVault: Excess sell");
        _saleReturn = _chargeFeeSecondaryCurve(_saleReturn);
    }

    /// @notice The function to sell fractional tokens for reserve token
    /// @dev TWAV is updated only if buyout is active and only on first buy or sell txs of block.
    /// @dev internally calls _sellPrimaryCurve or _sellSecondaryCurve or both depending on the sellAmount and current supply
    /// @dev if totalSupply > initialTokenSupply AND _amount to sell is greater than (_amtIn > totalSupply - initialTokenSupply) then sell happens on primary curve and secondary curve both
    /// @param _amtIn continuous Tokens to be sold
    /// @param _minAmtOut Minimum amount of reserve token user receives, else the tx fails.
    /// @param _to Address to receive the reserve token to
    function sell(uint256 _amtIn, uint256 _minAmtOut, address payable _to) external override notBoughtOut whenNotPaused lock returns(uint256 _saleReturn) {
        //Make update on the first tx of the block
        if (status == Status.buyout) {
            uint32 _blockTimestamp = uint32(block.timestamp % 2**32);
            if (_blockTimestamp >= lastBlockTimeStamp + period) {
                _updateTWAV(getCurrentValuation(), _blockTimestamp);   
                _rejectBuyout(); //For the case when TWAV goes up when updated on sell
            }
        }
        uint256 _initialTokenSupply = initialTokenSupply;
        uint256 _totalSupply = totalSupply();
        if(_totalSupply > _initialTokenSupply) {
            if ((_initialTokenSupply + _amtIn) <= _totalSupply) {
                _saleReturn = _sellPrimaryCurve(_amtIn, _totalSupply);
            } else {
                //Gas Optimization
                uint256 _tokensPrimaryCurve = _totalSupply - _initialTokenSupply;
                _saleReturn = primaryReserveBalance - fictitiousPrimaryReserveBalance;
                primaryReserveBalance -= _saleReturn;
                _saleReturn = _chargeFee(_saleReturn);
                
                // _saleReturn = _sellPrimaryCurve(_tokensPrimaryCurve);
                _saleReturn += _sellSecondaryCurve(_amtIn - _tokensPrimaryCurve, _initialTokenSupply);
            } } else {
                _saleReturn = _sellSecondaryCurve(_amtIn,_totalSupply);
        }
        require(_saleReturn >= _minAmtOut, "NibblVault: Return too low");
        _burn(msg.sender, _amtIn);
        safeTransferETH(_to, _saleReturn); //send _saleReturn to _to
        emit Sell(msg.sender, _amtIn, _saleReturn);
    }

    /// @notice Function to initiate buyout of ERC721
    /// @dev buyoutBid is set to current valuation
    /// @dev bidder needs to send funds equal to current valuation - ((primaryReserveBalance - fictitiousPrimaryReserveBalance) + secondaryReserveBalance) to initiate buyout
    /// This ensures that the original bidder doesn't need to support the whole valuation and liquidity in reserve can be used as well.
    /// Buyout is initiated only when total bid amount >= currentValuation but extra funds over currentValuation are sent back to bidder.
    function initiateBuyout() external override payable whenNotPaused returns(uint256 _buyoutBid) {
        require(block.timestamp >= minBuyoutTime, "NibblVault: minBuyoutTime < now");
        require(status == Status.initialized, "NibblVault: Status!=initialized");
        _buyoutBid = msg.value + (primaryReserveBalance - fictitiousPrimaryReserveBalance) + secondaryReserveBalance;
        //_buyoutBid: Bid User has made
        uint256 _currentValuation = getCurrentValuation();
        require(_buyoutBid >= _currentValuation, "NibblVault: Bid too low");
        // buyoutValuationDeposit = _currentValuation - ((primaryReserveBalance - fictitiousPrimaryReserveBalance) + secondaryReserveBalance); 
        buyoutValuationDeposit = msg.value - (_buyoutBid - _currentValuation);
        bidder = msg.sender;
        buyoutBid = _currentValuation;
        // buyoutBid: Bid can only be placed at current valuation
        buyoutRejectionValuation = (_currentValuation * (SCALE + REJECTION_PREMIUM)) / SCALE;
        buyoutEndTime = block.timestamp + BUYOUT_DURATION;
        status = Status.buyout;
        _updateTWAV(_currentValuation, uint32(block.timestamp % 2**32));
        if (_buyoutBid > _currentValuation) {
            safeTransferETH(payable(msg.sender), (_buyoutBid - _currentValuation));
        }
        emit BuyoutInitiated(msg.sender, _buyoutBid);
    }

    /// @notice Function to reject buyout
    /// @dev Triggered when someone buys tokens and curve valuation increases
    /// @dev If TWAV >= Buyout rejection valuation then the buyout is rejected
    /// @dev Called only when TWAV is updated
    function _rejectBuyout() private notBoughtOut {
        uint256 _twav = _getTwav();
        if (_twav >= buyoutRejectionValuation) {
            uint256 _buyoutValuationDeposit = buyoutValuationDeposit;
            unsettledBids[bidder] += _buyoutValuationDeposit;
            totalUnsettledBids += _buyoutValuationDeposit;
            delete buyoutRejectionValuation;
            delete buyoutEndTime;
            delete bidder;
            delete twavObservations;
            delete twavObservationsIndex;
            delete lastBlockTimeStamp;
            status = Status.initialized;
            emit BuyoutRejected(_twav);
        }
    }

    function setURL(string memory _url) public onlyCurator {
        require(bytes(imageUrl).length == 0, "NibblVault: Already set");
        imageUrl = _url;
    }

    /// @notice Function to allow withdrawal of unsettledBids after buyout has been rejected
    /// @param _to Address to receive the funds
    function withdrawUnsettledBids(address payable _to) external override {
        uint256 _amount = unsettledBids[msg.sender];
        delete unsettledBids[msg.sender];
        totalUnsettledBids -= _amount;
        safeTransferETH(_to, _amount);
    }

    /// @notice Function for tokenholders to redeem their tokens for reserve token in case of buyout success
    /// @dev The redeemed reserve token are in proportion to the token supply someone owns
    /// @dev The amount available for redemption is contract balance - (total unsettled bid and curator fees accrued)
    function redeem(address payable _to) external override boughtOut returns(uint256 _amtOut){
        uint256 _balance = balanceOf(msg.sender);
        _amtOut = ((address(this).balance - feeAccruedCurator - totalUnsettledBids) * _balance) / totalSupply();
        _burn(msg.sender, _balance);
        safeTransferETH(_to, _amtOut);
    }

    /// @notice Function to allow curator to redeem accumulated curator fee.
    /// @param _to the address where curator fee will be sent
    /// @dev can only be called by curator
    function redeemCuratorFee(address payable _to) external override onlyCurator returns(uint256 _feeAccruedCurator) {
        _feeAccruedCurator = feeAccruedCurator;
        feeAccruedCurator = 0;
        safeTransferETH(_to, _feeAccruedCurator);
    }


    /// @notice to update the curator address
    /// @param _newCurator new curator address 
    /// @dev can only be called by curator
    function updateCurator(address _newCurator) external override onlyCurator {
        curator = _newCurator;
    }


    /// @notice Function for allowing bidder to unlock his ERC721 in case of buyout success
    /// @param _assetAddress the address of asset to be unlocked
    /// @param _assetID the ID of asset to be unlocked
    /// @param _to the address where unlocked NFT will be sent
    function withdrawERC721(address _assetAddress, uint256 _assetID, address _to) external override boughtOut onlyBidder {
        IERC721(_assetAddress).safeTransferFrom(address(this), _to, _assetID);
    }

    /// @notice Function for allowing bidder to unlock his ERC20s in case of buyout success
    /// @notice ERC20s can be accumulated by the underlying ERC721 in the vault as royalty or airdrops 
    /// @param _asset the address of asset to be unlocked
    /// @param _to the address where unlocked NFT will be sent
    function withdrawERC20(address _asset, address _to) external override boughtOut onlyBidder {
        IERC20(_asset).safeTransfer(_to, IERC20(_asset).balanceOf(address(this)));
    }

    /// @notice Function for allowing bidder to unlock his ERC1155s in case of buyout success
    /// @notice ERC1155s can be accumulated by the underlying ERC721 in the vault as royalty or airdrops 
    /// @param _asset the address of asset to be unlocked
    /// @param _assetID the ID of asset to be unlocked
    /// @param _to the address where unlocked NFT will be sent
    function withdrawERC1155(address _asset, uint256 _assetID, address _to) external override boughtOut onlyBidder {
        uint256 balance = IERC1155(_asset).balanceOf(address(this),  _assetID);
        IERC1155(_asset).safeTransferFrom(address(this), _to, _assetID, balance, "0");
    }
    
    /// @notice Creates a ERC1155Link
    function createERC1155Link(string memory _n, string memory _ns) external onlyCurator {
        require(nibblERC1155Link == address(0), "NibblVault: Link Exists");
        address _link = address(new ProxyERC1155Link(address(this)));
        ERC1155Link(_link).initialize();
        nibblERC1155Link = _link;
        emit ERC1155LinkCreated(_link, address(this));
    }

    function safeTransferETH(address payable _to, uint256 _amount) private {
        (bool success, ) = _to.call{value: _amount}("");
        require(success, "NibblVault: ETH transfer failed");
    }

    function onERC721Received( address, address, uint256, bytes calldata ) external pure returns (bytes4) {
        return this.onERC721Received.selector;
    }

    function onERC1155Received(address, address, uint256, uint256, bytes memory) external pure returns (bytes4) {
        return this.onERC1155Received.selector;
    }

    function onERC1155BatchReceived(address, address, uint256[] memory, uint256[] memory, bytes memory) external pure returns (bytes4) {
        return this.onERC1155BatchReceived.selector;
    }

    receive() external payable {}
}
// File: contracts/core/NibblVaultFactory.sol



// SPDX-License-Identifier: BUSL-1.1

pragma solidity 0.8.10;
import { IERC721 } from "@openzeppelin/contracts/token/ERC721/IERC721.sol";
import { IERC20 } from "@openzeppelin/contracts/token/ERC20/IERC20.sol";
import { IERC1155 } from "@openzeppelin/contracts/token/ERC1155/IERC1155.sol";
import { Pausable } from "@openzeppelin/contracts/security/Pausable.sol";
import { NibblVault } from "./NibblVault.sol";
import { ProxyVault } from "./Proxy/ProxyVault.sol";
import { ProxyBasket } from "./Proxy/ProxyBasket.sol";
import { NibblVaultFactoryData } from "./Utilities/NibblVaultFactoryData.sol";
import { AccessControlMechanism } from "./Utilities/AccessControlMechanism.sol";
import { INibblVaultFactory } from "./Interfaces/INibblVaultFactory.sol";
import { Basket } from "./Basket.sol";

contract NibblVaultFactory is INibblVaultFactory, AccessControlMechanism, Pausable, NibblVaultFactoryData {
    /// @notice Minimum initial reserve balance a user has to deposit to create a new vault
    uint256 private constant MIN_INITIAL_RESERVE_BALANCE = 1e9;

    /// @notice array containing the addresses of all the vaults
    ProxyVault[] public nibbledTokens;
    constructor (address _vaultImplementation, address _feeTo, address _admin, address _basketImplementation) AccessControlMechanism(_admin) {
        vaultImplementation = _vaultImplementation;
        feeTo = _feeTo;
        basketImplementation = _basketImplementation;
    }

    /// @notice mints a new vault
    /// @param _assetAddress address of the NFT contract which is being fractionalized
    /// @param _curator address of the vault curator
    /// @param _name name of the fractional token to be created
    /// @param _symbol symbol of the fractional token
    /// @param _assetTokenID tokenId of the NFT being fractionalized
    /// @param _initialSupply desired initial token supply
    /// @param _initialTokenPrice desired initial token price
    /// @param _minBuyoutTime minimum time after which buyout can be triggered
    function createVault(
        address _assetAddress,
        address _curator,
        string memory _name,
        string memory _symbol,
        uint256 _assetTokenID,
        uint256 _initialSupply,
        uint256 _initialTokenPrice,
        uint256 _minBuyoutTime
        ) external payable override whenNotPaused returns(address payable _proxyVault) {
        require(msg.value >= MIN_INITIAL_RESERVE_BALANCE, "Factory: Value low");
        require(IERC721(_assetAddress).ownerOf(_assetTokenID) == msg.sender, "Factory: Invalid sender");
        _proxyVault = payable(new ProxyVault{salt: keccak256(abi.encodePacked(_curator, _assetAddress, _assetTokenID, _initialSupply, _initialTokenPrice))}(payable(address(this))));
        NibblVault _vault = NibblVault(payable(_proxyVault));
        _vault.initialize{value: msg.value}(_name, _symbol, _assetAddress, _assetTokenID, _curator, _initialSupply,_initialTokenPrice, _minBuyoutTime);
        IERC721(_assetAddress).safeTransferFrom(msg.sender, address(_vault), _assetTokenID);
        nibbledTokens.push(ProxyVault(_proxyVault));
        emit Fractionalise(_assetAddress, _assetTokenID, _proxyVault);
    }

    /// @notice get address of vault to be deployed
    /// @param _curator address of curator
    /// @param _assetAddress address of the NFT contract which is being fractionalized
    /// @param _assetTokenID tokenId of the NFT being fractionalized
    /// @param _initialSupply desired initial token supply
    /// @param _initialTokenPrice desired initial token price    
    function getVaultAddress(
        address _curator,
        address _assetAddress,
        uint256 _assetTokenID,
        uint256 _initialSupply,
        uint256 _initialTokenPrice) external view returns(address _vault) {
        bytes32 newsalt = keccak256(abi.encodePacked(_curator, _assetAddress, _assetTokenID,  _initialSupply, _initialTokenPrice));
        bytes memory code = abi.encodePacked(type(ProxyVault).creationCode, uint256(uint160(address(this))));
        bytes32 _hash = keccak256(abi.encodePacked(bytes1(0xff), address(this), newsalt, keccak256(code)));
        _vault = address(uint160(uint256(_hash)));     
    }

    function getVaults() external view returns(ProxyVault[] memory ) {
        return nibbledTokens;
    }

    function createBasket(address _curator, string memory _mix) external override returns(address)  {
        address payable _basketAddress = payable(new ProxyBasket{salt: keccak256(abi.encodePacked(_curator, _mix))}(basketImplementation));
        Basket _basket = Basket(_basketAddress);
        _basket.initialize(_curator);
        emit BasketCreated(_curator, _basketAddress);
        return _basketAddress;
    }

    function getBasketAddress(address _curator, string memory _mix) external override view returns(address _basket) {
        bytes32 newsalt = keccak256(abi.encodePacked(_curator, _mix));
        bytes memory code = abi.encodePacked(type(ProxyBasket).creationCode, uint256(uint160(basketImplementation)));
        bytes32 hash = keccak256(abi.encodePacked(bytes1(0xff), address(this), newsalt, keccak256(code)));
        _basket = address(uint160(uint256(hash)));     
    }

    /// @notice proposes new Basket implementation
    /// @dev new implementation can be updated only after timelock
    /// @dev can only be called by IMPLEMENTER_ROLE
    /// @param _newBasketImplementation new implementation basket address
    function proposeNewBasketImplementation(address _newBasketImplementation) external override onlyRole(IMPLEMENTER_ROLE) {
        pendingBasketImplementation = _newBasketImplementation;
        basketUpdateTime = block.timestamp + UPDATE_TIME;
    }

    /// @notice updates new basket implementation
    /// @dev new vault implementation can be updated only after timelock
    function updateBasketImplementation() external override {
        uint256 _basketUpdateTime = basketUpdateTime;
        require(_basketUpdateTime != 0, "Factory: !Proposed");
        require(block.timestamp >= _basketUpdateTime, "Factory: UPDATE_TIME");
        basketImplementation = pendingBasketImplementation;
        delete basketUpdateTime;
    }

    function withdrawAdminFee() external override {
        (bool _success, ) = payable(feeTo).call{value: address(this).balance}("");
        require(_success);
    }

    // Cancellation functions aren't required as we can call propose function again with different parameters

    /// @notice proposes new admin fee address
    /// @dev new address can be updated only after timelock
    /// @dev can only be called by FEE_ROLE
    /// @param _newFeeAddress new address to receive admin fee on address
    function proposeNewAdminFeeAddress(address _newFeeAddress) external override onlyRole(FEE_ROLE) {
        pendingFeeTo = _newFeeAddress;
        feeToUpdateTime = block.timestamp + UPDATE_TIME;
    }

    /// @notice updates new admin fee address
    /// @dev can only be updated after timelock
    function updateNewAdminFeeAddress() external override {
        uint256 _feeToUpdateTime = feeToUpdateTime;
        require(_feeToUpdateTime != 0, "Factory: !Proposed");
        require(block.timestamp >= _feeToUpdateTime, "Factory: UPDATE_TIME");
        feeTo = pendingFeeTo;
        delete feeToUpdateTime;
    }

    /// @notice proposes new admin fee
    /// @dev new fee can be updated only after timelock
    /// @dev can only be called by FEE_ROLE
    /// @param _newFee new admin fee 
    function proposeNewAdminFee(uint256 _newFee) external override onlyRole(FEE_ROLE) {
        require(_newFee <= MAX_ADMIN_FEE, "Factory: Fee too high");
        pendingFeeAdmin = _newFee;
        feeAdminUpdateTime = block.timestamp + UPDATE_TIME;
    }

    /// @notice updates new admin fee
    /// @dev new fee can be updated only after timelock
    function updateNewAdminFee() external override {
        uint256 _feeAdminUpdateTime = feeAdminUpdateTime;
        require(_feeAdminUpdateTime != 0, "Factory: !Proposed");
        require( block.timestamp >= _feeAdminUpdateTime, "Factory: UPDATE_TIME");
        feeAdmin = pendingFeeAdmin;
        delete feeAdminUpdateTime;
    }

    /// @notice proposes new vault implementation
    /// @dev new implementation can be updated only after timelock
    /// @dev can only be called by FEE_ROLE
    /// @param _newVaultImplementation new implementation vault address
    function proposeNewVaultImplementation(address _newVaultImplementation) external override onlyRole(IMPLEMENTER_ROLE) {
        pendingVaultImplementation = _newVaultImplementation;
        vaultUpdateTime = block.timestamp + UPDATE_TIME;
    }

    /// @notice updates new vault implementation
    /// @dev new vault implementation can be updated only after timelock
    function updateVaultImplementation() external override {
        uint256 _vaultUpdateTime = vaultUpdateTime;
        require(_vaultUpdateTime != 0, "Factory: !Proposed");
        require(block.timestamp >= _vaultUpdateTime, "Factory: UPDATE_TIME");
        vaultImplementation = pendingVaultImplementation;
        delete vaultUpdateTime;
    }

    /// @notice pauses the system
    /// @dev can only be called by PAUSER_ROLE
    function pause() external onlyRole(PAUSER_ROLE) override {
        _pause();
    }

    /// @notice unpauses the system
    /// @dev can only be called by PAUSER_ROLE
    function unPause() external onlyRole(PAUSER_ROLE) override {
        _unpause();
    }

    receive() payable external {    }

}
// File: contracts/core/NibblVaultHelper.sol



// SPDX-License-Identifier: MIT

pragma solidity 0.8.10;
import {NibblVault2} from "./NibblVault2.sol";
import {ERC1155Link} from "./ERC1155Link.sol";

contract NibblVaultHelper {
    function wrapNativeToERC1155(
        address payable _vault,
        address _link,
        address _to,
        uint256 _minERC20Out,
        uint256 _amtERC1155,
        uint256 _tokenID
    ) external payable {
        uint256 _out = NibblVault2(_vault).buy{value: msg.value}(
            _minERC20Out,
            address(this)
        );

        if (NibblVault2(_vault).allowance(address(this), _link) < _out) {
            NibblVault2(_vault).approve(_link, type(uint256).max);
        }
        ERC1155Link(_link).wrap(_amtERC1155, _tokenID, _to);
        NibblVault2(_vault).transfer(
            _to,
            NibblVault2(_vault).balanceOf(address(this))
        );
    }

    function unwrapERC1155ToNative(
        address payable _vault,
        address _link,
        address payable _to,
        uint256 _minNativeOut,
        uint256 _tokenID,
        uint256 _amt
    ) external {
        ERC1155Link(_link).safeTransferFrom(
            msg.sender,
            address(this),
            _tokenID,
            _amt,
            "0x"
        );
        ERC1155Link(_link).unwrap(_amt, _tokenID, address(this));
        NibblVault2(_vault).sell(
            NibblVault2(_vault).balanceOf(address(this)),
            _minNativeOut,
            _to
        );
    }

    function redeemEditionForNative(
        ERC1155Link _link,
        NibblVault2 _vault,
        uint256 _tokenID,
        address payable _to
    ) external {
        _link.safeTransferFrom(
            msg.sender,
            address(this),
            _tokenID,
            _link.balanceOf(msg.sender, _tokenID),
            "0x"
        );
        _vault.redeem(_to);
    }

    function redeemMultipleEditionsForNative(
        ERC1155Link _link,
        NibblVault2 _vault,
        uint256[] calldata _tokenIDs,
        address payable _to
    ) external {
        uint256 _len = _tokenIDs.length;
        for (uint256 index = 0; index < _len; index++) {
            _link.safeTransferFrom(
                msg.sender,
                address(this),
                _tokenIDs[index],
                _link.balanceOf(msg.sender, _tokenIDs[index]),
                "0x"
            );
            _vault.redeem(_to);
        }
    }

    function setMaxApproval(address payable _vault, address _link) external {
        NibblVault2(_vault).approve(_link, type(uint256).max);
    }

    function onERC1155Received(
        address,
        address,
        uint256,
        uint256,
        bytes calldata
    ) external virtual returns (bytes4) {
        return this.onERC1155Received.selector;
    }
}

// File: contracts/core/Proxy/ProxyBasket.sol



// SPDX-License-Identifier: BUSL-1.1

pragma solidity 0.8.10;
import { NibblVaultFactory } from "../NibblVaultFactory.sol";

/**
 * @dev This abstract contract provides a fallback function that delegates all calls to another contract using the EVM
 * instruction `delegatecall`. We refer to the second contract as the _implementation_ behind the proxy, and it has to
 * be specified by overriding the virtual {_implementation} function.
 *
 * Additionally, delegation to the implementation can be triggered manually through the {_fallback} function, or to a
 * different contract through the {_delegate} function.
 *
 * The success and return data of the delegated call will be returned back to the caller of the proxy.
 */
contract ProxyBasket {
    address immutable public implementation;

    constructor(address _implementation) {
        implementation = payable(_implementation);
    }

    /**
     * @dev Delegates the current call to `implementation`.
     *
     * This function does not return to its internal call site, it will return directly to the external caller.
     */
    //solhint-disable-next-line no-complex-fallback
    fallback() external payable virtual {
        address _implementation = implementation;
        //solhint-disable-next-line no-inline-assembly
        assembly {
            // Copy msg.data. We take full control of memory in this inline assembly
            // block because it will not return to Solidity code. We overwrite the
            // Solidity scratch pad at memory position 0.
            calldatacopy(0, 0, calldatasize())

            // Call the implementation.
            // out and outsize are 0 because we don't know the size yet.
            let result := delegatecall(gas(), _implementation, 0, calldatasize(), 0, 0)

            // Copy the returned data.
            returndatacopy(0, 0, returndatasize())

            switch result
            // delegatecall returns 0 on error.
            case 0 {
                revert(0, returndatasize())
            }
            default {
                return(0, returndatasize())
            }
        }    
    }

    receive() external payable {    }

    }



// File: contracts/core/Proxy/ProxyERC1155Link.sol



// SPDX-License-Identifier: BUSL-1.1

pragma solidity 0.8.10;
import { NibblVault2 } from "../NibblVault2.sol";

/**
 * @dev This abstract contract provides a fallback function that delegates all calls to another contract using the EVM
 * instruction `delegatecall`. We refer to the second contract as the _implementation_ behind the proxy, and it has to
 * be specified by overriding the virtual {_implementation} function.
 *
 * Additionally, delegation to the implementation can be triggered manually through the {_fallback} function, or to a
 * different contract through the {_delegate} function.
 *
 * The success and return data of the delegated call will be returned back to the caller of the proxy.
 */
contract ProxyERC1155Link {
    address payable immutable public nibblVault;

    constructor(address _nibblVault) {
        nibblVault = payable(_nibblVault);
    }

    /**
     * @dev Delegates the current call to `implementation`.
     *
     * This function does not return to its internal call site, it will return directly to the external caller.
     */
    //solhint-disable-next-line no-complex-fallback
    fallback() external payable virtual {
        address _implementation = NibblVault2(nibblVault).nibblERC1155LinkImplementation();
        //solhint-disable-next-line no-inline-assembly
        assembly {
            // Copy msg.data. We take full control of memory in this inline assembly
            // block because it will not return to Solidity code. We overwrite the
            // Solidity scratch pad at memory position 0.
            calldatacopy(0, 0, calldatasize())

            // Call the implementation.
            // out and outsize are 0 because we don't know the size yet.
            let result := delegatecall(gas(), _implementation, 0, calldatasize(), 0, 0)

            // Copy the returned data.
            returndatacopy(0, 0, returndatasize())

            switch result
            // delegatecall returns 0 on error.
            case 0 {
                revert(0, returndatasize())
            }
            default {
                return(0, returndatasize())
            }
        }    
    }

    receive() external payable {    }

    }



// File: contracts/core/Proxy/ProxyVault.sol



// SPDX-License-Identifier: BUSL-1.1

pragma solidity 0.8.10;
import { NibblVaultFactory } from "../NibblVaultFactory.sol";

/**
 * @dev This abstract contract provides a fallback function that delegates all calls to another contract using the EVM
 * instruction `delegatecall`. We refer to the second contract as the _implementation_ behind the proxy, and it has to
 * be specified by overriding the virtual {_implementation} function.
 *
 * Additionally, delegation to the implementation can be triggered manually through the {_fallback} function, or to a
 * different contract through the {_delegate} function.
 *
 * The success and return data of the delegated call will be returned back to the caller of the proxy.
 */
contract ProxyVault {
    address payable immutable public factory;

    constructor(address _factory) {
        factory = payable(_factory);
    }

    /**
     * @dev Delegates the current call to `implementation`.
     *
     * This function does not return to its internal call site, it will return directly to the external caller.
     */
    //solhint-disable-next-line no-complex-fallback
    fallback() external payable virtual {
        address _implementation = NibblVaultFactory(factory).vaultImplementation();
        //solhint-disable-next-line no-inline-assembly
        assembly {
            // Copy msg.data. We take full control of memory in this inline assembly
            // block because it will not return to Solidity code. We overwrite the
            // Solidity scratch pad at memory position 0.
            calldatacopy(0, 0, calldatasize())

            // Call the implementation.
            // out and outsize are 0 because we don't know the size yet.
            let result := delegatecall(gas(), _implementation, 0, calldatasize(), 0, 0)

            // Copy the returned data.
            returndatacopy(0, 0, returndatasize())

            switch result
            // delegatecall returns 0 on error.
            case 0 {
                revert(0, returndatasize())
            }
            default {
                return(0, returndatasize())
            }
        }    
    }

    receive() external payable {    }

    }



// File: contracts/core/Twav/Twav.sol



// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.10;

contract Twav {
    struct TwavObservation {
        uint32 timestamp;
        uint256 cumulativeValuation;
    }

    /// @notice current index of twavObservations index
    uint8 public twavObservationsIndex;
    uint8 private constant TWAV_BLOCK_NUMBERS = 6;
    uint32 public lastBlockTimeStamp;

    /// @notice record of TWAV 
    TwavObservation[TWAV_BLOCK_NUMBERS] public twavObservations;
    uint256[50] private _gaps; 
    /// @notice updates twavObservations array
    /// @param _blockTimestamp timestamp of the block
    /// @param _valuation current valuation
    function _updateTWAV(uint256 _valuation, uint32 _blockTimestamp) internal {
        uint32 _timeElapsed; 
        unchecked {
            _timeElapsed = _blockTimestamp - lastBlockTimeStamp;
        }
        uint256 _prevCumulativeValuation = twavObservations[((twavObservationsIndex + TWAV_BLOCK_NUMBERS) - 1) % TWAV_BLOCK_NUMBERS].cumulativeValuation;
        twavObservations[twavObservationsIndex] = TwavObservation(_blockTimestamp, _prevCumulativeValuation + (_valuation * _timeElapsed)); //add the previous observation to make it cumulative
        twavObservationsIndex = (twavObservationsIndex + 1) % TWAV_BLOCK_NUMBERS;
        lastBlockTimeStamp = _blockTimestamp;
    }

    /// @notice returns the TWAV of the last 4 blocks
    /// @return _twav TWAV of the last 4 blocks
    function _getTwav() internal view returns(uint256 _twav){
        if (twavObservations[TWAV_BLOCK_NUMBERS - 1].cumulativeValuation != 0) {
            uint8 _index = ((twavObservationsIndex + TWAV_BLOCK_NUMBERS) - 1) % TWAV_BLOCK_NUMBERS;
            TwavObservation memory _twavObservationCurrent = twavObservations[(_index)];
            TwavObservation memory _twavObservationPrev = twavObservations[(_index + 1) % TWAV_BLOCK_NUMBERS];
            _twav = (_twavObservationCurrent.cumulativeValuation - _twavObservationPrev.cumulativeValuation) / (_twavObservationCurrent.timestamp - _twavObservationPrev.timestamp);
        }
    }

    function getTwavObservations() public view returns(TwavObservation[TWAV_BLOCK_NUMBERS] memory) {
        return twavObservations;
    }
}
// File: contracts/core/Twav/Twav2.sol



// SPDX-License-Identifier: BUSL-1.1

pragma solidity 0.8.10;
contract Twav2 {
    struct TwavObservation {
        uint32 timestamp;
        uint256 cumulativeValuation;
    }

    uint256 constant period = 2 minutes; // Interval in which Observation should updated into twavObservations
    
    /// @notice current index of twavObservations index
    uint8 public twavObservationsIndex;
    uint8 private constant TWAV_BLOCK_NUMBERS = 6;
    uint32 public lastBlockTimeStamp;


    /// @notice record of TWAV 
    TwavObservation[TWAV_BLOCK_NUMBERS] public twavObservations;
    uint256[50] private _gaps; 

    /// @notice updates twavObservations array
    /// @param _blockTimestamp timestamp of the block
    /// @param _valuation current valuation
    function _updateTWAV(uint256 _valuation, uint32 _blockTimestamp) internal {
        uint32 _timeElapsed; 
        unchecked {
            _timeElapsed = _blockTimestamp - lastBlockTimeStamp;
        }
        uint256 _prevCumulativeValuation = twavObservations[((twavObservationsIndex + TWAV_BLOCK_NUMBERS) - 1) % TWAV_BLOCK_NUMBERS].cumulativeValuation;
        twavObservations[twavObservationsIndex] = TwavObservation(_blockTimestamp, _prevCumulativeValuation + (_valuation * _timeElapsed)); //add the previous observation to make it cumulative
        twavObservationsIndex = (twavObservationsIndex + 1) % TWAV_BLOCK_NUMBERS;
        lastBlockTimeStamp = _blockTimestamp;
    }

    /// @notice returns the TWAV of the last 4 blocks
    /// @return _twav TWAV of the last 4 blocks
    function _getTwav() internal view returns(uint256 _twav){
        if (twavObservations[TWAV_BLOCK_NUMBERS - 1].cumulativeValuation != 0) {
            uint8 _index = ((twavObservationsIndex + TWAV_BLOCK_NUMBERS) - 1) % TWAV_BLOCK_NUMBERS;
            TwavObservation memory _twavObservationCurrent = twavObservations[(_index)];
            TwavObservation memory _twavObservationPrev = twavObservations[(_index + 1) % TWAV_BLOCK_NUMBERS];
            _twav = (_twavObservationCurrent.cumulativeValuation - _twavObservationPrev.cumulativeValuation) / (_twavObservationCurrent.timestamp - _twavObservationPrev.timestamp);
        }
    }

    function getTwavObservations() public view returns(TwavObservation[TWAV_BLOCK_NUMBERS] memory) {
        return twavObservations;
    }
}
// File: contracts/core/Utilities/AccessControlMechanism.sol



// SPDX-License-Identifier: BUSL-1.1
// OpenZeppelin Contracts v4.4.1 (access/AccessControl.sol)

pragma solidity 0.8.10;
import { IAccessControlMechanism } from "../Interfaces/IAccessControlMechanism.sol";
import { AccessControl } from "@openzeppelin/contracts/access/AccessControl.sol";

contract AccessControlMechanism is IAccessControlMechanism, AccessControl {
    // Mechanism to implement propose and claim Access control Roles 
    // grantRole, revokeRole can be used to grant and revoke roles directly
    
    bytes32 public constant FEE_ROLE = keccak256("FEE_ROLE");
    bytes32 public constant PAUSER_ROLE = keccak256("PAUSER_ROLE");
    bytes32 public constant IMPLEMENTER_ROLE = keccak256("IMPLEMENTER_ROLE");

    mapping(bytes32 => mapping(address => bool)) public pendingRoles;


    constructor (address _admin) {
        _grantRole(DEFAULT_ADMIN_ROLE, _admin);
        _setRoleAdmin(DEFAULT_ADMIN_ROLE, DEFAULT_ADMIN_ROLE);
        _setRoleAdmin(FEE_ROLE, DEFAULT_ADMIN_ROLE);
        _setRoleAdmin(PAUSER_ROLE, DEFAULT_ADMIN_ROLE);
        _setRoleAdmin(IMPLEMENTER_ROLE, DEFAULT_ADMIN_ROLE);
    }

    /// @notice sets admin role for a role
    /// @dev can only be called adminRole of _role
    /// @param _role roles whose admin needs to be updated
    /// @param _adminRole new admin role
    function setRoleAdmin(bytes32 _role, bytes32 _adminRole) external override onlyRole(getRoleAdmin(_role)) {
        _setRoleAdmin(_role, _adminRole);
    }

    /// @notice proposes a user for a role
    /// @dev can only be called by admin of that role
    /// @param _role _role to which the user is proposed
    /// @param _to user proposed
    function proposeGrantRole(bytes32 _role, address _to) external override onlyRole(getRoleAdmin(_role)) {
        pendingRoles[_role][_to] = true;
    }

    /// @notice proposed user needs to claim the role
    /// @dev can only be called by the proposed user
    /// @param _role role to be claimed
    function claimRole(bytes32 _role) external override {
        require(pendingRoles[_role][msg.sender], "AccessControl: Role not pending");
        _grantRole(_role, msg.sender);
        delete pendingRoles[_role][msg.sender];
    }


}
// File: contracts/core/Utilities/EIP712Base.sol



// SPDX-License-Identifier: BUSL-1.1

pragma solidity 0.8.10;

contract EIP712Base {

    bytes32 internal constant EIP712_DOMAIN_TYPEHASH = keccak256(
        bytes(
            "EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)"
        )
    );

    bytes32 internal domainSeperator;

    function INIT_EIP712(string memory name, string memory version) internal {
        domainSeperator = keccak256(
            abi.encode(
                EIP712_DOMAIN_TYPEHASH,
                keccak256(bytes(name)),
                keccak256(bytes(version)),
                getChainID(),
                address(this)
            )
        );
    }

    function getChainID() internal view returns (uint256 id) {
        assembly {
            id := chainid()
        }
    }

    /**
     * Accept message hash and returns hash message in EIP712 compatible form
     * So that it can be used to recover signer from signature signed using EIP712 formatted data
     * https://eips.ethereum.org/EIPS/eip-712
     * "\\x19" makes the encoding deterministic
     * "\\x01" is the version byte to make it compatible to EIP-191
     **/
    function toTypedMessageHash(bytes32 messageHash)
        internal
        view
        returns (bytes32)
    {
        return
            keccak256(
                abi.encodePacked("\x19\x01", domainSeperator, messageHash)
            );
    }
}
// File: contracts/core/Utilities/NibblVaultFactoryData.sol



// SPDX-License-Identifier: BUSL-1.1

pragma solidity 0.8.10;

contract NibblVaultFactoryData {
    uint256 public constant UPDATE_TIME = 2 days;
    uint256 public constant MAX_ADMIN_FEE = 10_000; //1%

    address public vaultImplementation;
    address public pendingVaultImplementation;
    uint256 public vaultUpdateTime; //Cooldown period

    address public feeTo;
    address public pendingFeeTo;
    uint256 public feeToUpdateTime; //Cooldown period  

    uint256 public feeAdmin = 2500;
    uint256 public pendingFeeAdmin;
    uint256 public feeAdminUpdateTime; //Cooldown period

    address public basketImplementation;
    address public pendingBasketImplementation;
    uint256 public basketUpdateTime; //Cooldown period    

}
// File: solmate/src/tokens/ERC1155.sol



// SPDX-License-Identifier: AGPL-3.0-only
pragma solidity >=0.8.0;

/// @notice Minimalist and gas efficient standard ERC1155 implementation.
/// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/tokens/ERC1155.sol)
abstract contract ERC1155 {
    /*//////////////////////////////////////////////////////////////
                                 EVENTS
    //////////////////////////////////////////////////////////////*/

    event TransferSingle(
        address indexed operator,
        address indexed from,
        address indexed to,
        uint256 id,
        uint256 amount
    );

    event TransferBatch(
        address indexed operator,
        address indexed from,
        address indexed to,
        uint256[] ids,
        uint256[] amounts
    );

    event ApprovalForAll(address indexed owner, address indexed operator, bool approved);

    event URI(string value, uint256 indexed id);

    /*//////////////////////////////////////////////////////////////
                             ERC1155 STORAGE
    //////////////////////////////////////////////////////////////*/

    mapping(address => mapping(uint256 => uint256)) public balanceOf;

    mapping(address => mapping(address => bool)) public isApprovedForAll;

    /*//////////////////////////////////////////////////////////////
                             METADATA LOGIC
    //////////////////////////////////////////////////////////////*/

    function uri(uint256 id) public view virtual returns (string memory);

    /*//////////////////////////////////////////////////////////////
                              ERC1155 LOGIC
    //////////////////////////////////////////////////////////////*/

    function setApprovalForAll(address operator, bool approved) public virtual {
        isApprovedForAll[msg.sender][operator] = approved;

        emit ApprovalForAll(msg.sender, operator, approved);
    }

    function safeTransferFrom(
        address from,
        address to,
        uint256 id,
        uint256 amount,
        bytes calldata data
    ) public virtual {
        require(msg.sender == from || isApprovedForAll[from][msg.sender], "NOT_AUTHORIZED");

        balanceOf[from][id] -= amount;
        balanceOf[to][id] += amount;

        emit TransferSingle(msg.sender, from, to, id, amount);

        require(
            to.code.length == 0
                ? to != address(0)
                : ERC1155TokenReceiver(to).onERC1155Received(msg.sender, from, id, amount, data) ==
                    ERC1155TokenReceiver.onERC1155Received.selector,
            "UNSAFE_RECIPIENT"
        );
    }

    function safeBatchTransferFrom(
        address from,
        address to,
        uint256[] calldata ids,
        uint256[] calldata amounts,
        bytes calldata data
    ) public virtual {
        require(ids.length == amounts.length, "LENGTH_MISMATCH");

        require(msg.sender == from || isApprovedForAll[from][msg.sender], "NOT_AUTHORIZED");

        // Storing these outside the loop saves ~15 gas per iteration.
        uint256 id;
        uint256 amount;

        for (uint256 i = 0; i < ids.length; ) {
            id = ids[i];
            amount = amounts[i];

            balanceOf[from][id] -= amount;
            balanceOf[to][id] += amount;

            // An array can't have a total length
            // larger than the max uint256 value.
            unchecked {
                ++i;
            }
        }

        emit TransferBatch(msg.sender, from, to, ids, amounts);

        require(
            to.code.length == 0
                ? to != address(0)
                : ERC1155TokenReceiver(to).onERC1155BatchReceived(msg.sender, from, ids, amounts, data) ==
                    ERC1155TokenReceiver.onERC1155BatchReceived.selector,
            "UNSAFE_RECIPIENT"
        );
    }

    function balanceOfBatch(address[] calldata owners, uint256[] calldata ids)
        public
        view
        virtual
        returns (uint256[] memory balances)
    {
        require(owners.length == ids.length, "LENGTH_MISMATCH");

        balances = new uint256[](owners.length);

        // Unchecked because the only math done is incrementing
        // the array index counter which cannot possibly overflow.
        unchecked {
            for (uint256 i = 0; i < owners.length; ++i) {
                balances[i] = balanceOf[owners[i]][ids[i]];
            }
        }
    }

    /*//////////////////////////////////////////////////////////////
                              ERC165 LOGIC
    //////////////////////////////////////////////////////////////*/

    function supportsInterface(bytes4 interfaceId) public view virtual returns (bool) {
        return
            interfaceId == 0x01ffc9a7 || // ERC165 Interface ID for ERC165
            interfaceId == 0xd9b67a26 || // ERC165 Interface ID for ERC1155
            interfaceId == 0x0e89341c; // ERC165 Interface ID for ERC1155MetadataURI
    }

    /*//////////////////////////////////////////////////////////////
                        INTERNAL MINT/BURN LOGIC
    //////////////////////////////////////////////////////////////*/

    function _mint(
        address to,
        uint256 id,
        uint256 amount,
        bytes memory data
    ) internal virtual {
        balanceOf[to][id] += amount;

        emit TransferSingle(msg.sender, address(0), to, id, amount);

        require(
            to.code.length == 0
                ? to != address(0)
                : ERC1155TokenReceiver(to).onERC1155Received(msg.sender, address(0), id, amount, data) ==
                    ERC1155TokenReceiver.onERC1155Received.selector,
            "UNSAFE_RECIPIENT"
        );
    }

    function _batchMint(
        address to,
        uint256[] memory ids,
        uint256[] memory amounts,
        bytes memory data
    ) internal virtual {
        uint256 idsLength = ids.length; // Saves MLOADs.

        require(idsLength == amounts.length, "LENGTH_MISMATCH");

        for (uint256 i = 0; i < idsLength; ) {
            balanceOf[to][ids[i]] += amounts[i];

            // An array can't have a total length
            // larger than the max uint256 value.
            unchecked {
                ++i;
            }
        }

        emit TransferBatch(msg.sender, address(0), to, ids, amounts);

        require(
            to.code.length == 0
                ? to != address(0)
                : ERC1155TokenReceiver(to).onERC1155BatchReceived(msg.sender, address(0), ids, amounts, data) ==
                    ERC1155TokenReceiver.onERC1155BatchReceived.selector,
            "UNSAFE_RECIPIENT"
        );
    }

    function _batchBurn(
        address from,
        uint256[] memory ids,
        uint256[] memory amounts
    ) internal virtual {
        uint256 idsLength = ids.length; // Saves MLOADs.

        require(idsLength == amounts.length, "LENGTH_MISMATCH");

        for (uint256 i = 0; i < idsLength; ) {
            balanceOf[from][ids[i]] -= amounts[i];

            // An array can't have a total length
            // larger than the max uint256 value.
            unchecked {
                ++i;
            }
        }

        emit TransferBatch(msg.sender, from, address(0), ids, amounts);
    }

    function _burn(
        address from,
        uint256 id,
        uint256 amount
    ) internal virtual {
        balanceOf[from][id] -= amount;

        emit TransferSingle(msg.sender, from, address(0), id, amount);
    }
}

/// @notice A generic interface for a contract which properly accepts ERC1155 tokens.
/// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/tokens/ERC1155.sol)
abstract contract ERC1155TokenReceiver {
    function onERC1155Received(
        address,
        address,
        uint256,
        uint256,
        bytes calldata
    ) external virtual returns (bytes4) {
        return ERC1155TokenReceiver.onERC1155Received.selector;
    }

    function onERC1155BatchReceived(
        address,
        address,
        uint256[] calldata,
        uint256[] calldata,
        bytes calldata
    ) external virtual returns (bytes4) {
        return ERC1155TokenReceiver.onERC1155BatchReceived.selector;
    }
}