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



// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

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

/**
 * @dev External interface of AccessControl declared to support ERC165 detection.
 */
interface IAccessControl {
    function hasRole(bytes32 role, address account) external view returns (bool);

    function getRoleAdmin(bytes32 role) external view returns (bytes32);

    function grantRole(bytes32 role, address account) external;

    function revokeRole(bytes32 role, address account) external;

    function renounceRole(bytes32 role, address account) external;
}

/**
 * @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 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 {_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 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]{20}) is missing role (0x[0-9a-f]{32})$/
     *
     * _Available since v4.1._
     */
    modifier onlyRole(bytes32 role) {
        _checkRole(role, _msgSender());
        _;
    }

    /**
     * @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 override returns (bool) {
        return _roles[role].members[account];
    }

    /**
     * @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]{20}) is missing role (0x[0-9a-f]{32})$/
     */
    function _checkRole(bytes32 role, address account) internal view {
        if (!hasRole(role, account)) {
            revert(
                string(
                    abi.encodePacked(
                        "AccessControl: account ",
                        Strings.toHexString(uint160(account), 20),
                        " 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 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.
     */
    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.
     */
    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 granted `role`, emits a {RoleRevoked}
     * event.
     *
     * Requirements:
     *
     * - the caller must be `account`.
     */
    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.
     *
     * [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}.
     * ====
     */
    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 {
        emit RoleAdminChanged(role, getRoleAdmin(role), adminRole);
        _roles[role].adminRole = adminRole;
    }

    function _grantRole(bytes32 role, address account) private {
        if (!hasRole(role, account)) {
            _roles[role].members[account] = true;
            emit RoleGranted(role, account, _msgSender());
        }
    }

    function _revokeRole(bytes32 role, address account) private {
        if (hasRole(role, account)) {
            _roles[role].members[account] = false;
            emit RoleRevoked(role, account, _msgSender());
        }
    }
}

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



// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

import "./AccessControl.sol";
import "../utils/structs/EnumerableSet.sol";

/**
 * @dev External interface of AccessControlEnumerable declared to support ERC165 detection.
 */
interface IAccessControlEnumerable {
    function getRoleMember(bytes32 role, uint256 index) external view returns (address);

    function getRoleMemberCount(bytes32 role) external view returns (uint256);
}

/**
 * @dev Extension of {AccessControl} that allows enumerating the members of each role.
 */
abstract contract AccessControlEnumerable is IAccessControlEnumerable, AccessControl {
    using EnumerableSet for EnumerableSet.AddressSet;

    mapping(bytes32 => EnumerableSet.AddressSet) private _roleMembers;

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

    /**
     * @dev Returns one of the accounts that have `role`. `index` must be a
     * value between 0 and {getRoleMemberCount}, non-inclusive.
     *
     * Role bearers are not sorted in any particular way, and their ordering may
     * change at any point.
     *
     * WARNING: When using {getRoleMember} and {getRoleMemberCount}, make sure
     * you perform all queries on the same block. See the following
     * https://forum.openzeppelin.com/t/iterating-over-elements-on-enumerableset-in-openzeppelin-contracts/2296[forum post]
     * for more information.
     */
    function getRoleMember(bytes32 role, uint256 index) public view override returns (address) {
        return _roleMembers[role].at(index);
    }

    /**
     * @dev Returns the number of accounts that have `role`. Can be used
     * together with {getRoleMember} to enumerate all bearers of a role.
     */
    function getRoleMemberCount(bytes32 role) public view override returns (uint256) {
        return _roleMembers[role].length();
    }

    /**
     * @dev Overload {grantRole} to track enumerable memberships
     */
    function grantRole(bytes32 role, address account) public virtual override {
        super.grantRole(role, account);
        _roleMembers[role].add(account);
    }

    /**
     * @dev Overload {revokeRole} to track enumerable memberships
     */
    function revokeRole(bytes32 role, address account) public virtual override {
        super.revokeRole(role, account);
        _roleMembers[role].remove(account);
    }

    /**
     * @dev Overload {renounceRole} to track enumerable memberships
     */
    function renounceRole(bytes32 role, address account) public virtual override {
        super.renounceRole(role, account);
        _roleMembers[role].remove(account);
    }

    /**
     * @dev Overload {_setupRole} to track enumerable memberships
     */
    function _setupRole(bytes32 role, address account) internal virtual override {
        super._setupRole(role, account);
        _roleMembers[role].add(account);
    }
}

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



// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC20 standard as defined in the EIP.
 */
interface IERC20 {
    /**
     * @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 `recipient`.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * Emits a {Transfer} event.
     */
    function transfer(address recipient, 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 `sender` to `recipient` 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 sender,
        address recipient,
        uint256 amount
    ) external returns (bool);

    /**
     * @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);
}

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



// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

import "../IERC20.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));
        }
    }

    /**
     * @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

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: balance query for the zero address");
        return _balances[owner];
    }

    /**
     * @dev See {IERC721-ownerOf}.
     */
    function ownerOf(uint256 tokenId) public view virtual override returns (address) {
        address owner = _owners[tokenId];
        require(owner != address(0), "ERC721: owner query for nonexistent token");
        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) {
        require(_exists(tokenId), "ERC721Metadata: URI query for nonexistent token");

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

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

    /**
     * @dev See {IERC721-approve}.
     */
    function approve(address to, uint256 tokenId) public 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 owner nor approved for all"
        );

        _approve(to, tokenId);
    }

    /**
     * @dev See {IERC721-getApproved}.
     */
    function getApproved(uint256 tokenId) public view virtual override returns (address) {
        require(_exists(tokenId), "ERC721: approved query for nonexistent token");

        return _tokenApprovals[tokenId];
    }

    /**
     * @dev See {IERC721-setApprovalForAll}.
     */
    function setApprovalForAll(address operator, bool approved) public virtual override {
        require(operator != _msgSender(), "ERC721: approve to caller");

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

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

    /**
     * @dev See {IERC721-transferFrom}.
     */
    function transferFrom(
        address from,
        address to,
        uint256 tokenId
    ) public virtual override {
        //solhint-disable-next-line max-line-length
        require(_isApprovedOrOwner(_msgSender(), tokenId), "ERC721: transfer caller is not owner nor 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: transfer caller is not owner nor 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 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 _owners[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) {
        require(_exists(tokenId), "ERC721: operator query for nonexistent token");
        address owner = ERC721.ownerOf(tokenId);
        return (spender == owner || getApproved(tokenId) == spender || isApprovedForAll(owner, 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);

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

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

    /**
     * @dev Destroys `tokenId`.
     * The approval is cleared when the token is burned.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     *
     * Emits a {Transfer} event.
     */
    function _burn(uint256 tokenId) internal virtual {
        address owner = ERC721.ownerOf(tokenId);

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

        // Clear approvals
        _approve(address(0), tokenId);

        _balances[owner] -= 1;
        delete _owners[tokenId];

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

    /**
     * @dev Transfers `tokenId` from `from` to `to`.
     *  As opposed to {transferFrom}, this imposes no restrictions on msg.sender.
     *
     * Requirements:
     *
     * - `to` cannot be the zero address.
     * - `tokenId` token must be owned by `from`.
     *
     * Emits a {Transfer} event.
     */
    function _transfer(
        address from,
        address to,
        uint256 tokenId
    ) internal virtual {
        require(ERC721.ownerOf(tokenId) == from, "ERC721: transfer of token that is not own");
        require(to != address(0), "ERC721: transfer to the zero address");

        _beforeTokenTransfer(from, to, tokenId);

        // Clear approvals from the previous owner
        _approve(address(0), tokenId);

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

        emit Transfer(from, to, tokenId);
    }

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

    /**
     * @dev Internal function to invoke {IERC721Receiver-onERC721Received} on a target address.
     * The call is not executed if the target address is not a contract.
     *
     * @param from address representing the previous owner of the given token ID
     * @param to target address that will receive the tokens
     * @param tokenId uint256 ID of the token to be transferred
     * @param _data bytes optional data to send along with the call
     * @return bool whether the call correctly returned the expected magic value
     */
    function _checkOnERC721Received(
        address from,
        address to,
        uint256 tokenId,
        bytes memory _data
    ) private returns (bool) {
        if (to.isContract()) {
            try IERC721Receiver(to).onERC721Received(_msgSender(), from, tokenId, _data) returns (bytes4 retval) {
                return retval == IERC721Receiver(to).onERC721Received.selector;
            } catch (bytes memory reason) {
                if (reason.length == 0) {
                    revert("ERC721: transfer to non ERC721Receiver implementer");
                } else {
                    assembly {
                        revert(add(32, reason), mload(reason))
                    }
                }
            }
        } else {
            return true;
        }
    }

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

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



// SPDX-License-Identifier: MIT

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`, checking first that contract recipients
     * are aware of the ERC721 protocol to prevent tokens from being forever locked.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must exist and be owned by `from`.
     * - If the caller is not `from`, it must be have been allowed to move this token by either {approve} or {setApprovalForAll}.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function safeTransferFrom(
        address from,
        address to,
        uint256 tokenId
    ) external;

    /**
     * @dev Transfers `tokenId` token from `from` to `to`.
     *
     * WARNING: Usage of this method is discouraged, use {safeTransferFrom} whenever possible.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must be owned by `from`.
     * - If the caller is not `from`, it must be approved to move this token by either {approve} or {setApprovalForAll}.
     *
     * Emits a {Transfer} event.
     */
    function transferFrom(
        address from,
        address to,
        uint256 tokenId
    ) external;

    /**
     * @dev Gives permission to `to` to transfer `tokenId` token to another account.
     * The approval is cleared when the token is transferred.
     *
     * Only a single account can be approved at a time, so approving the zero address clears previous approvals.
     *
     * Requirements:
     *
     * - The caller must own the token or be an approved operator.
     * - `tokenId` must exist.
     *
     * Emits an {Approval} event.
     */
    function approve(address to, uint256 tokenId) external;

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

    /**
     * @dev Approve or remove `operator` as an operator for the caller.
     * Operators can call {transferFrom} or {safeTransferFrom} for any token owned by the caller.
     *
     * Requirements:
     *
     * - The `operator` cannot be the caller.
     *
     * Emits an {ApprovalForAll} event.
     */
    function setApprovalForAll(address operator, bool _approved) external;

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

    /**
     * @dev Safely transfers `tokenId` token from `from` to `to`.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must exist and be owned by `from`.
     * - If the caller is not `from`, it must be approved to move this token by either {approve} or {setApprovalForAll}.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function safeTransferFrom(
        address from,
        address to,
        uint256 tokenId,
        bytes calldata data
    ) external;
}

// File: @openzeppelin/contracts/token/ERC721/IERC721Receiver.sol



// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

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

// File: @openzeppelin/contracts/token/ERC721/extensions/IERC721Metadata.sol



// SPDX-License-Identifier: MIT

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/utils/Address.sol



// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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



// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

/*
 * @dev Provides information about the current execution context, including the
 * sender of the transaction and its data. While these are generally available
 * via msg.sender and msg.data, they should not be accessed in such a direct
 * manner, since when dealing with meta-transactions the account sending and
 * paying for execution may not be the actual sender (as far as an application
 * is concerned).
 *
 * This contract is only required for intermediate, library-like contracts.
 */
abstract contract Context {
    function _msgSender() internal view virtual returns (address) {
        return msg.sender;
    }

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

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



// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

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

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

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

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

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

// File: @openzeppelin/contracts/utils/introspection/ERC165.sol



// SPDX-License-Identifier: MIT

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

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/structs/EnumerableSet.sol



// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

/**
 * @dev Library for managing
 * https://en.wikipedia.org/wiki/Set_(abstract_data_type)[sets] of primitive
 * types.
 *
 * Sets have the following properties:
 *
 * - Elements are added, removed, and checked for existence in constant time
 * (O(1)).
 * - Elements are enumerated in O(n). No guarantees are made on the ordering.
 *
 * ```
 * contract Example {
 *     // Add the library methods
 *     using EnumerableSet for EnumerableSet.AddressSet;
 *
 *     // Declare a set state variable
 *     EnumerableSet.AddressSet private mySet;
 * }
 * ```
 *
 * As of v3.3.0, sets of type `bytes32` (`Bytes32Set`), `address` (`AddressSet`)
 * and `uint256` (`UintSet`) are supported.
 */
library EnumerableSet {
    // To implement this library for multiple types with as little code
    // repetition as possible, we write it in terms of a generic Set type with
    // bytes32 values.
    // The Set implementation uses private functions, and user-facing
    // implementations (such as AddressSet) are just wrappers around the
    // underlying Set.
    // This means that we can only create new EnumerableSets for types that fit
    // in bytes32.

    struct Set {
        // Storage of set values
        bytes32[] _values;
        // Position of the value in the `values` array, plus 1 because index 0
        // means a value is not in the set.
        mapping(bytes32 => uint256) _indexes;
    }

    /**
     * @dev Add a value to a set. O(1).
     *
     * Returns true if the value was added to the set, that is if it was not
     * already present.
     */
    function _add(Set storage set, bytes32 value) private returns (bool) {
        if (!_contains(set, value)) {
            set._values.push(value);
            // The value is stored at length-1, but we add 1 to all indexes
            // and use 0 as a sentinel value
            set._indexes[value] = set._values.length;
            return true;
        } else {
            return false;
        }
    }

    /**
     * @dev Removes a value from a set. O(1).
     *
     * Returns true if the value was removed from the set, that is if it was
     * present.
     */
    function _remove(Set storage set, bytes32 value) private returns (bool) {
        // We read and store the value's index to prevent multiple reads from the same storage slot
        uint256 valueIndex = set._indexes[value];

        if (valueIndex != 0) {
            // Equivalent to contains(set, value)
            // To delete an element from the _values array in O(1), we swap the element to delete with the last one in
            // the array, and then remove the last element (sometimes called as 'swap and pop').
            // This modifies the order of the array, as noted in {at}.

            uint256 toDeleteIndex = valueIndex - 1;
            uint256 lastIndex = set._values.length - 1;

            if (lastIndex != toDeleteIndex) {
                bytes32 lastvalue = set._values[lastIndex];

                // Move the last value to the index where the value to delete is
                set._values[toDeleteIndex] = lastvalue;
                // Update the index for the moved value
                set._indexes[lastvalue] = valueIndex; // Replace lastvalue's index to valueIndex
            }

            // Delete the slot where the moved value was stored
            set._values.pop();

            // Delete the index for the deleted slot
            delete set._indexes[value];

            return true;
        } else {
            return false;
        }
    }

    /**
     * @dev Returns true if the value is in the set. O(1).
     */
    function _contains(Set storage set, bytes32 value) private view returns (bool) {
        return set._indexes[value] != 0;
    }

    /**
     * @dev Returns the number of values on the set. O(1).
     */
    function _length(Set storage set) private view returns (uint256) {
        return set._values.length;
    }

    /**
     * @dev Returns the value stored at position `index` in the set. O(1).
     *
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
    function _at(Set storage set, uint256 index) private view returns (bytes32) {
        return set._values[index];
    }

    // Bytes32Set

    struct Bytes32Set {
        Set _inner;
    }

    /**
     * @dev Add a value to a set. O(1).
     *
     * Returns true if the value was added to the set, that is if it was not
     * already present.
     */
    function add(Bytes32Set storage set, bytes32 value) internal returns (bool) {
        return _add(set._inner, value);
    }

    /**
     * @dev Removes a value from a set. O(1).
     *
     * Returns true if the value was removed from the set, that is if it was
     * present.
     */
    function remove(Bytes32Set storage set, bytes32 value) internal returns (bool) {
        return _remove(set._inner, value);
    }

    /**
     * @dev Returns true if the value is in the set. O(1).
     */
    function contains(Bytes32Set storage set, bytes32 value) internal view returns (bool) {
        return _contains(set._inner, value);
    }

    /**
     * @dev Returns the number of values in the set. O(1).
     */
    function length(Bytes32Set storage set) internal view returns (uint256) {
        return _length(set._inner);
    }

    /**
     * @dev Returns the value stored at position `index` in the set. O(1).
     *
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
    function at(Bytes32Set storage set, uint256 index) internal view returns (bytes32) {
        return _at(set._inner, index);
    }

    // AddressSet

    struct AddressSet {
        Set _inner;
    }

    /**
     * @dev Add a value to a set. O(1).
     *
     * Returns true if the value was added to the set, that is if it was not
     * already present.
     */
    function add(AddressSet storage set, address value) internal returns (bool) {
        return _add(set._inner, bytes32(uint256(uint160(value))));
    }

    /**
     * @dev Removes a value from a set. O(1).
     *
     * Returns true if the value was removed from the set, that is if it was
     * present.
     */
    function remove(AddressSet storage set, address value) internal returns (bool) {
        return _remove(set._inner, bytes32(uint256(uint160(value))));
    }

    /**
     * @dev Returns true if the value is in the set. O(1).
     */
    function contains(AddressSet storage set, address value) internal view returns (bool) {
        return _contains(set._inner, bytes32(uint256(uint160(value))));
    }

    /**
     * @dev Returns the number of values in the set. O(1).
     */
    function length(AddressSet storage set) internal view returns (uint256) {
        return _length(set._inner);
    }

    /**
     * @dev Returns the value stored at position `index` in the set. O(1).
     *
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
    function at(AddressSet storage set, uint256 index) internal view returns (address) {
        return address(uint160(uint256(_at(set._inner, index))));
    }

    // UintSet

    struct UintSet {
        Set _inner;
    }

    /**
     * @dev Add a value to a set. O(1).
     *
     * Returns true if the value was added to the set, that is if it was not
     * already present.
     */
    function add(UintSet storage set, uint256 value) internal returns (bool) {
        return _add(set._inner, bytes32(value));
    }

    /**
     * @dev Removes a value from a set. O(1).
     *
     * Returns true if the value was removed from the set, that is if it was
     * present.
     */
    function remove(UintSet storage set, uint256 value) internal returns (bool) {
        return _remove(set._inner, bytes32(value));
    }

    /**
     * @dev Returns true if the value is in the set. O(1).
     */
    function contains(UintSet storage set, uint256 value) internal view returns (bool) {
        return _contains(set._inner, bytes32(value));
    }

    /**
     * @dev Returns the number of values on the set. O(1).
     */
    function length(UintSet storage set) internal view returns (uint256) {
        return _length(set._inner);
    }

    /**
     * @dev Returns the value stored at position `index` in the set. O(1).
     *
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
    function at(UintSet storage set, uint256 index) internal view returns (uint256) {
        return uint256(_at(set._inner, index));
    }
}

// File: contracts/AaveCells.sol



// SPDX-License-Identifier: MIT
pragma solidity 0.8.7;

import "@openzeppelin/contracts/token/ERC20/IERC20.sol";
import "@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol";
import "./interfaces/ITokenCells.sol";
import "./libraries/Array.sol";
import "./libraries/external/FixedPoint96.sol";
import "./Cells.sol";
import "./interfaces/external/aave/ILendingPool.sol";

contract AaveCells is IDelegatedCells, Cells {
    using SafeERC20 for IERC20;
    ILendingPool public lendingPool;

    mapping(uint256 => mapping(address => uint256)) public tokenCellsBalances;
    mapping(address => uint256) public tokenBalances;

    constructor(
        ILendingPool _lendingPool,
        string memory name,
        string memory symbol
    ) Cells(name, symbol) {
        lendingPool = _lendingPool;
    }

    function delegated(uint256 nft)
        public
        view
        override
        returns (address[] memory tokens, uint256[] memory tokenAmounts)
    {
        tokens = managedTokens(nft);
        tokenAmounts = new uint256[](tokens.length);
        for (uint256 i = 0; i < tokens.length; i++) {
            address aToken = _getAToken(tokens[i]);
            tokenAmounts[i] =
                (IERC20(aToken).balanceOf(address(this)) * tokenCellsBalances[nft][tokens[i]]) /
                tokenBalances[tokens[i]];
        }
    }

    function deposit(
        uint256 nft,
        address[] calldata tokens,
        uint256[] calldata tokenAmounts
    ) external override returns (uint256[] memory actualTokenAmounts) {
        require(_isApprovedOrOwner(_msgSender(), nft), "IO");
        address[] memory pTokens = managedTokens(nft);
        uint256[] memory pTokenAmounts = Array.projectTokenAmounts(pTokens, tokens, tokenAmounts);
        for (uint256 i = 0; i < pTokens.length; i++) {
            if (pTokenAmounts[i] == 0) {
                continue;
            }
            address aToken = _getAToken(pTokens[i]);
            _allowTokenIfNecessary(pTokens[i]);
            uint256 tokensToMint;
            if (tokenBalances[pTokens[i]] == 0) {
                tokensToMint = pTokenAmounts[i];
            } else {
                tokensToMint = (pTokenAmounts[i] * tokenBalances[pTokens[i]]) / IERC20(aToken).balanceOf(address(this));
            }
            
            IERC20(pTokens[i]).safeTransferFrom(_msgSender(), address(this), pTokenAmounts[i]);
            // TODO: Check what is 0
            lendingPool.deposit(pTokens[i], pTokenAmounts[i], address(this), 0);
            tokenBalances[pTokens[i]] += tokensToMint;
            tokenCellsBalances[nft][pTokens[i]] += tokensToMint;

        }
        actualTokenAmounts = tokenAmounts;
        emit Deposit(nft, tokens, actualTokenAmounts);
    }

    function withdraw(
        uint256 nft,
        address to,
        address[] calldata tokens,
        uint256[] calldata tokenAmounts
    ) external override returns (uint256[] memory actualTokenAmounts) {
        require(_isApprovedOrOwner(_msgSender(), nft), "IO");
        address[] memory pTokens = managedTokens(nft);
        uint256[] memory pTokenAmounts = Array.projectTokenAmounts(pTokens, tokens, tokenAmounts);
        for (uint256 i = 0; i < pTokens.length; i++) {
            address aToken = _getAToken(pTokens[i]);
            uint256 tokensToBurn = (pTokenAmounts[i] * tokenBalances[pTokens[i]]) / IERC20(aToken).balanceOf(address(this));
            if (tokensToBurn == 0) {
                continue;
            }
            tokenBalances[pTokens[i]] -= tokensToBurn;
            tokenCellsBalances[nft][pTokens[i]] -= tokensToBurn;
            lendingPool.withdraw(pTokens[i], pTokenAmounts[i], to);
        }
        actualTokenAmounts = tokenAmounts;
        emit Withdraw(nft, to, tokens, actualTokenAmounts);
    }

    function _getAToken(address token) internal view returns (address) {
        DataTypes.ReserveData memory data = lendingPool.getReserveData(token);
        return data.aTokenAddress;
    }

    function _allowTokenIfNecessary(address token) internal {
        // Since tokens are not stored at contract address after any tx - it's safe to give unlimited approval
        if (IERC20(token).allowance(address(lendingPool), address(this)) < type(uint256).max / 2) {
            IERC20(token).approve(address(lendingPool), type(uint256).max);
        }
    }

}

// File: contracts/Cells.sol



// SPDX-License-Identifier: MIT
pragma solidity 0.8.7;

import "@openzeppelin/contracts/token/ERC721/ERC721.sol";
import "@openzeppelin/contracts/token/ERC721/IERC721Receiver.sol";
import "./access/GovernanceAccessControl.sol";
import "./interfaces/ICells.sol";
import "./libraries/Array.sol";

contract Cells is ICells, GovernanceAccessControl, ERC721 {
    bool public permissionless = false;
    bool public pendingPermissionless;
    uint256 public maxTokensPerCell = 10;
    uint256 public pendingMaxTokensPerCell;
    mapping(uint256 => address[]) private _managedTokens;
    mapping(uint256 => mapping(address => bool)) private _managedTokensIndex;
    uint256 private _topCellNft = 1;

    constructor(string memory name, string memory symbol) ERC721(name, symbol) {}

    /// -------------------  PUBLIC, VIEW  -------------------

    function managedTokens(uint256 nft) public view override returns (address[] memory) {
        return _managedTokens[nft];
    }

    function isManagedToken(uint256 nft, address token) public view override returns (bool) {
        return _managedTokensIndex[nft][token];
    }

    function supportsInterface(bytes4 interfaceId)
        public
        view
        virtual
        override(ERC721, IERC165, AccessControlEnumerable)
        returns (bool)
    {
        return interfaceId == type(ICells).interfaceId || super.supportsInterface(interfaceId);
    }

    /// -------------------  PUBLIC, MUTATING, GOVERNANCE  -------------------

    function setPendingPermissionless(bool _pendingPermissionless) external {
        require(_isGovernanceOrDelegate(), "PGD");
        pendingPermissionless = _pendingPermissionless;
    }

    function commitPendingPermissionless() external {
        require(_isGovernanceOrDelegate(), "PGD");
        permissionless = pendingPermissionless;
        pendingPermissionless = false;
    }

    function setPendingMaxTokensPerCell(uint256 _pendingMaxTokensPerCell) external {
        require(_isGovernanceOrDelegate(), "PGD");
        pendingMaxTokensPerCell = _pendingMaxTokensPerCell;
    }

    function commitPendingMaxTokensPerCell() external {
        require(_isGovernanceOrDelegate(), "PGD");
        maxTokensPerCell = pendingMaxTokensPerCell;
        pendingMaxTokensPerCell = 0;
    }

    /// -------------------  PUBLIC, MUTATING, GOVERNANCE OR PERMISSIONLESS  -------------------
    function createCell(address[] memory cellTokens, bytes memory params) external override returns (uint256) {
        require(permissionless || _isGovernanceOrDelegate(), "PGD");
        require(cellTokens.length <= maxTokensPerCell, "MT");
        require(Array.isSortedAndUnique(cellTokens), "SAU");
        uint256 nft = _mintCellNft(cellTokens, params);
        _managedTokens[nft] = cellTokens;
        for (uint256 i = 0; i < cellTokens.length; i++) {
            _managedTokensIndex[nft][cellTokens[i]] = true;
        }
        emit ICells.CreateCell(_msgSender(), nft, params);
        return nft;
    }

    /// -------------------  PRIVATE, MUTATING  -------------------

    function _mintCellNft(address[] memory, bytes memory) internal virtual returns (uint256) {
        uint256 nft = _topCellNft;
        _topCellNft += 1;
        _safeMint(_msgSender(), nft);
        return nft;
    }
}

// File: contracts/access/GovernanceAccessControl.sol



// SPDX-License-Identifier: MIT
pragma solidity 0.8.7;

import "@openzeppelin/contracts/access/AccessControlEnumerable.sol";

contract GovernanceAccessControl is AccessControlEnumerable {
    bytes32 internal constant GOVERNANCE_ROLE = keccak256("governance");
    bytes32 internal constant GOVERNANCE_DELEGATE_ROLE = keccak256("governance_delegate");

    constructor() {
        _setupRole(GOVERNANCE_ROLE, _msgSender());
        _setRoleAdmin(GOVERNANCE_ROLE, GOVERNANCE_ROLE);
        _setupRole(GOVERNANCE_DELEGATE_ROLE, _msgSender());
        _setRoleAdmin(GOVERNANCE_DELEGATE_ROLE, GOVERNANCE_ROLE);
    }

    function _isGovernanceOrDelegate() internal view returns (bool) {
        return hasRole(GOVERNANCE_ROLE, _msgSender()) || hasRole(GOVERNANCE_DELEGATE_ROLE, _msgSender());
    }

    function _isGovernance() internal view returns (bool) {
        return hasRole(GOVERNANCE_ROLE, _msgSender());
    }
}

// File: contracts/interfaces/ICells.sol



// SPDX-License-Identifier: MIT
pragma solidity 0.8.7;

import "@openzeppelin/contracts/token/ERC721/IERC721.sol";

interface ICells is IERC721 {
    function managedTokens(uint256 nft) external view returns (address[] memory);

    function isManagedToken(uint256 nft, address token) external view returns (bool);

    function createCell(address[] memory cellTokens, bytes memory params) external returns (uint256);

    event CreateCell(address indexed to, uint256 indexed nft, bytes params);
}

// File: contracts/interfaces/IDelegatedCells.sol



// SPDX-License-Identifier: MIT
pragma solidity 0.8.7;

import "./ICells.sol";

interface IDelegatedCells is ICells {
    function delegated(uint256 nft) external view returns (address[] memory tokens, uint256[] memory tokenAmounts);

    function deposit(
        uint256 nft,
        address[] calldata tokens,
        uint256[] calldata tokenAmounts
    ) external returns (uint256[] memory actualTokenAmounts);

    function withdraw(
        uint256 nft,
        address to,
        address[] calldata tokens,
        uint256[] calldata tokenAmounts
    ) external returns (uint256[] memory actualTokenAmounts);


    event Deposit(
        uint256 nft,
        address[] tokens,
        uint256[] actualTokenAmounts
    );

    event Withdraw(
        uint256 nft,
        address to,
        address[] tokens,
        uint256[] actualTokenAmounts
    );
    // TODO: add methods for collecting liquidity mining rewards
}

// File: contracts/interfaces/ITokenCells.sol



// SPDX-License-Identifier: MIT
pragma solidity 0.8.7;

import "./IDelegatedCells.sol";

interface ITokenCells is IDelegatedCells {
    function claimTokensToCell(
        uint256 nft,
        address[] calldata tokens,
        uint256[] calldata tokenAmounts
    ) external;
}

// File: contracts/interfaces/external/aave/DataTypes.sol



// SPDX-License-Identifier: agpl-3.0
pragma solidity 0.8.7;

library DataTypes {
    // refer to the whitepaper, section 1.1 basic concepts for a formal description of these properties.
    struct ReserveData {
        //stores the reserve configuration
        ReserveConfigurationMap configuration;
        //the liquidity index. Expressed in ray
        uint128 liquidityIndex;
        //variable borrow index. Expressed in ray
        uint128 variableBorrowIndex;
        //the current supply rate. Expressed in ray
        uint128 currentLiquidityRate;
        //the current variable borrow rate. Expressed in ray
        uint128 currentVariableBorrowRate;
        //the current stable borrow rate. Expressed in ray
        uint128 currentStableBorrowRate;
        uint40 lastUpdateTimestamp;
        //tokens addresses
        address aTokenAddress;
        address stableDebtTokenAddress;
        address variableDebtTokenAddress;
        //address of the interest rate strategy
        address interestRateStrategyAddress;
        //the id of the reserve. Represents the position in the list of the active reserves
        uint8 id;
    }

    struct ReserveConfigurationMap {
        //bit 0-15: LTV
        //bit 16-31: Liq. threshold
        //bit 32-47: Liq. bonus
        //bit 48-55: Decimals
        //bit 56: Reserve is active
        //bit 57: reserve is frozen
        //bit 58: borrowing is enabled
        //bit 59: stable rate borrowing enabled
        //bit 60-63: reserved
        //bit 64-79: reserve factor
        uint256 data;
    }

    struct UserConfigurationMap {
        uint256 data;
    }

    enum InterestRateMode {
        NONE,
        STABLE,
        VARIABLE
    }
}

// File: contracts/interfaces/external/aave/ILendingPool.sol



// SPDX-License-Identifier: agpl-3.0
pragma solidity 0.8.7;
pragma experimental ABIEncoderV2;

import {ILendingPoolAddressesProvider} from "./ILendingPoolAddressesProvider.sol";
import {DataTypes} from "./DataTypes.sol";

interface ILendingPool {
    /**
     * @dev Emitted on deposit()
     * @param reserve The address of the underlying asset of the reserve
     * @param user The address initiating the deposit
     * @param onBehalfOf The beneficiary of the deposit, receiving the aTokens
     * @param amount The amount deposited
     * @param referral The referral code used
     **/
    event Deposit(
        address indexed reserve,
        address user,
        address indexed onBehalfOf,
        uint256 amount,
        uint16 indexed referral
    );

    /**
     * @dev Emitted on withdraw()
     * @param reserve The address of the underlyng asset being withdrawn
     * @param user The address initiating the withdrawal, owner of aTokens
     * @param to Address that will receive the underlying
     * @param amount The amount to be withdrawn
     **/
    event Withdraw(address indexed reserve, address indexed user, address indexed to, uint256 amount);

    /**
     * @dev Emitted on borrow() and flashLoan() when debt needs to be opened
     * @param reserve The address of the underlying asset being borrowed
     * @param user The address of the user initiating the borrow(), receiving the funds on borrow() or just
     * initiator of the transaction on flashLoan()
     * @param onBehalfOf The address that will be getting the debt
     * @param amount The amount borrowed out
     * @param borrowRateMode The rate mode: 1 for Stable, 2 for Variable
     * @param borrowRate The numeric rate at which the user has borrowed
     * @param referral The referral code used
     **/
    event Borrow(
        address indexed reserve,
        address user,
        address indexed onBehalfOf,
        uint256 amount,
        uint256 borrowRateMode,
        uint256 borrowRate,
        uint16 indexed referral
    );

    /**
     * @dev Emitted on repay()
     * @param reserve The address of the underlying asset of the reserve
     * @param user The beneficiary of the repayment, getting his debt reduced
     * @param repayer The address of the user initiating the repay(), providing the funds
     * @param amount The amount repaid
     **/
    event Repay(address indexed reserve, address indexed user, address indexed repayer, uint256 amount);

    /**
     * @dev Emitted on swapBorrowRateMode()
     * @param reserve The address of the underlying asset of the reserve
     * @param user The address of the user swapping his rate mode
     * @param rateMode The rate mode that the user wants to swap to
     **/
    event Swap(address indexed reserve, address indexed user, uint256 rateMode);

    /**
     * @dev Emitted on setUserUseReserveAsCollateral()
     * @param reserve The address of the underlying asset of the reserve
     * @param user The address of the user enabling the usage as collateral
     **/
    event ReserveUsedAsCollateralEnabled(address indexed reserve, address indexed user);

    /**
     * @dev Emitted on setUserUseReserveAsCollateral()
     * @param reserve The address of the underlying asset of the reserve
     * @param user The address of the user enabling the usage as collateral
     **/
    event ReserveUsedAsCollateralDisabled(address indexed reserve, address indexed user);

    /**
     * @dev Emitted on rebalanceStableBorrowRate()
     * @param reserve The address of the underlying asset of the reserve
     * @param user The address of the user for which the rebalance has been executed
     **/
    event RebalanceStableBorrowRate(address indexed reserve, address indexed user);

    /**
     * @dev Emitted on flashLoan()
     * @param target The address of the flash loan receiver contract
     * @param initiator The address initiating the flash loan
     * @param asset The address of the asset being flash borrowed
     * @param amount The amount flash borrowed
     * @param premium The fee flash borrowed
     * @param referralCode The referral code used
     **/
    event FlashLoan(
        address indexed target,
        address indexed initiator,
        address indexed asset,
        uint256 amount,
        uint256 premium,
        uint16 referralCode
    );

    /**
     * @dev Emitted when the pause is triggered.
     */
    event Paused();

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

    /**
     * @dev Emitted when a borrower is liquidated. This event is emitted by the LendingPool via
     * LendingPoolCollateral manager using a DELEGATECALL
     * This allows to have the events in the generated ABI for LendingPool.
     * @param collateralAsset The address of the underlying asset used as collateral, to receive as result of the liquidation
     * @param debtAsset The address of the underlying borrowed asset to be repaid with the liquidation
     * @param user The address of the borrower getting liquidated
     * @param debtToCover The debt amount of borrowed `asset` the liquidator wants to cover
     * @param liquidatedCollateralAmount The amount of collateral received by the liiquidator
     * @param liquidator The address of the liquidator
     * @param receiveAToken `true` if the liquidators wants to receive the collateral aTokens, `false` if he wants
     * to receive the underlying collateral asset directly
     **/
    event LiquidationCall(
        address indexed collateralAsset,
        address indexed debtAsset,
        address indexed user,
        uint256 debtToCover,
        uint256 liquidatedCollateralAmount,
        address liquidator,
        bool receiveAToken
    );

    /**
     * @dev Emitted when the state of a reserve is updated. NOTE: This event is actually declared
     * in the ReserveLogic library and emitted in the updateInterestRates() function. Since the function is internal,
     * the event will actually be fired by the LendingPool contract. The event is therefore replicated here so it
     * gets added to the LendingPool ABI
     * @param reserve The address of the underlying asset of the reserve
     * @param liquidityRate The new liquidity rate
     * @param stableBorrowRate The new stable borrow rate
     * @param variableBorrowRate The new variable borrow rate
     * @param liquidityIndex The new liquidity index
     * @param variableBorrowIndex The new variable borrow index
     **/
    event ReserveDataUpdated(
        address indexed reserve,
        uint256 liquidityRate,
        uint256 stableBorrowRate,
        uint256 variableBorrowRate,
        uint256 liquidityIndex,
        uint256 variableBorrowIndex
    );

    /**
     * @dev Deposits an `amount` of underlying asset into the reserve, receiving in return overlying aTokens.
     * - E.g. User deposits 100 USDC and gets in return 100 aUSDC
     * @param asset The address of the underlying asset to deposit
     * @param amount The amount to be deposited
     * @param onBehalfOf The address that will receive the aTokens, same as msg.sender if the user
     *   wants to receive them on his own wallet, or a different address if the beneficiary of aTokens
     *   is a different wallet
     * @param referralCode Code used to register the integrator originating the operation, for potential rewards.
     *   0 if the action is executed directly by the user, without any middle-man
     **/
    function deposit(
        address asset,
        uint256 amount,
        address onBehalfOf,
        uint16 referralCode
    ) external;

    /**
     * @dev Withdraws an `amount` of underlying asset from the reserve, burning the equivalent aTokens owned
     * E.g. User has 100 aUSDC, calls withdraw() and receives 100 USDC, burning the 100 aUSDC
     * @param asset The address of the underlying asset to withdraw
     * @param amount The underlying amount to be withdrawn
     *   - Send the value type(uint256).max in order to withdraw the whole aToken balance
     * @param to Address that will receive the underlying, same as msg.sender if the user
     *   wants to receive it on his own wallet, or a different address if the beneficiary is a
     *   different wallet
     * @return The final amount withdrawn
     **/
    function withdraw(
        address asset,
        uint256 amount,
        address to
    ) external returns (uint256);

    /**
     * @dev Allows users to borrow a specific `amount` of the reserve underlying asset, provided that the borrower
     * already deposited enough collateral, or he was given enough allowance by a credit delegator on the
     * corresponding debt token (StableDebtToken or VariableDebtToken)
     * - E.g. User borrows 100 USDC passing as `onBehalfOf` his own address, receiving the 100 USDC in his wallet
     *   and 100 stable/variable debt tokens, depending on the `interestRateMode`
     * @param asset The address of the underlying asset to borrow
     * @param amount The amount to be borrowed
     * @param interestRateMode The interest rate mode at which the user wants to borrow: 1 for Stable, 2 for Variable
     * @param referralCode Code used to register the integrator originating the operation, for potential rewards.
     *   0 if the action is executed directly by the user, without any middle-man
     * @param onBehalfOf Address of the user who will receive the debt. Should be the address of the borrower itself
     * calling the function if he wants to borrow against his own collateral, or the address of the credit delegator
     * if he has been given credit delegation allowance
     **/
    function borrow(
        address asset,
        uint256 amount,
        uint256 interestRateMode,
        uint16 referralCode,
        address onBehalfOf
    ) external;

    /**
     * @notice Repays a borrowed `amount` on a specific reserve, burning the equivalent debt tokens owned
     * - E.g. User repays 100 USDC, burning 100 variable/stable debt tokens of the `onBehalfOf` address
     * @param asset The address of the borrowed underlying asset previously borrowed
     * @param amount The amount to repay
     * - Send the value type(uint256).max in order to repay the whole debt for `asset` on the specific `debtMode`
     * @param rateMode The interest rate mode at of the debt the user wants to repay: 1 for Stable, 2 for Variable
     * @param onBehalfOf Address of the user who will get his debt reduced/removed. Should be the address of the
     * user calling the function if he wants to reduce/remove his own debt, or the address of any other
     * other borrower whose debt should be removed
     * @return The final amount repaid
     **/
    function repay(
        address asset,
        uint256 amount,
        uint256 rateMode,
        address onBehalfOf
    ) external returns (uint256);

    /**
     * @dev Allows a borrower to swap his debt between stable and variable mode, or viceversa
     * @param asset The address of the underlying asset borrowed
     * @param rateMode The rate mode that the user wants to swap to
     **/
    function swapBorrowRateMode(address asset, uint256 rateMode) external;

    /**
     * @dev Rebalances the stable interest rate of a user to the current stable rate defined on the reserve.
     * - Users can be rebalanced if the following conditions are satisfied:
     *     1. Usage ratio is above 95%
     *     2. the current deposit APY is below REBALANCE_UP_THRESHOLD * maxVariableBorrowRate, which means that too much has been
     *        borrowed at a stable rate and depositors are not earning enough
     * @param asset The address of the underlying asset borrowed
     * @param user The address of the user to be rebalanced
     **/
    function rebalanceStableBorrowRate(address asset, address user) external;

    /**
     * @dev Allows depositors to enable/disable a specific deposited asset as collateral
     * @param asset The address of the underlying asset deposited
     * @param useAsCollateral `true` if the user wants to use the deposit as collateral, `false` otherwise
     **/
    function setUserUseReserveAsCollateral(address asset, bool useAsCollateral) external;

    /**
     * @dev Function to liquidate a non-healthy position collateral-wise, with Health Factor below 1
     * - The caller (liquidator) covers `debtToCover` amount of debt of the user getting liquidated, and receives
     *   a proportionally amount of the `collateralAsset` plus a bonus to cover market risk
     * @param collateralAsset The address of the underlying asset used as collateral, to receive as result of the liquidation
     * @param debtAsset The address of the underlying borrowed asset to be repaid with the liquidation
     * @param user The address of the borrower getting liquidated
     * @param debtToCover The debt amount of borrowed `asset` the liquidator wants to cover
     * @param receiveAToken `true` if the liquidators wants to receive the collateral aTokens, `false` if he wants
     * to receive the underlying collateral asset directly
     **/
    function liquidationCall(
        address collateralAsset,
        address debtAsset,
        address user,
        uint256 debtToCover,
        bool receiveAToken
    ) external;

    /**
     * @dev Allows smartcontracts to access the liquidity of the pool within one transaction,
     * as long as the amount taken plus a fee is returned.
     * IMPORTANT There are security concerns for developers of flashloan receiver contracts that must be kept into consideration.
     * For further details please visit https://developers.aave.com
     * @param receiverAddress The address of the contract receiving the funds, implementing the IFlashLoanReceiver interface
     * @param assets The addresses of the assets being flash-borrowed
     * @param amounts The amounts amounts being flash-borrowed
     * @param modes Types of the debt to open if the flash loan is not returned:
     *   0 -> Don't open any debt, just revert if funds can't be transferred from the receiver
     *   1 -> Open debt at stable rate for the value of the amount flash-borrowed to the `onBehalfOf` address
     *   2 -> Open debt at variable rate for the value of the amount flash-borrowed to the `onBehalfOf` address
     * @param onBehalfOf The address  that will receive the debt in the case of using on `modes` 1 or 2
     * @param params Variadic packed params to pass to the receiver as extra information
     * @param referralCode Code used to register the integrator originating the operation, for potential rewards.
     *   0 if the action is executed directly by the user, without any middle-man
     **/
    function flashLoan(
        address receiverAddress,
        address[] calldata assets,
        uint256[] calldata amounts,
        uint256[] calldata modes,
        address onBehalfOf,
        bytes calldata params,
        uint16 referralCode
    ) external;

    /**
     * @dev Returns the user account data across all the reserves
     * @param user The address of the user
     * @return totalCollateralETH the total collateral in ETH of the user
     * @return totalDebtETH the total debt in ETH of the user
     * @return availableBorrowsETH the borrowing power left of the user
     * @return currentLiquidationThreshold the liquidation threshold of the user
     * @return ltv the loan to value of the user
     * @return healthFactor the current health factor of the user
     **/
    function getUserAccountData(address user)
        external
        view
        returns (
            uint256 totalCollateralETH,
            uint256 totalDebtETH,
            uint256 availableBorrowsETH,
            uint256 currentLiquidationThreshold,
            uint256 ltv,
            uint256 healthFactor
        );

    function initReserve(
        address reserve,
        address aTokenAddress,
        address stableDebtAddress,
        address variableDebtAddress,
        address interestRateStrategyAddress
    ) external;

    function setReserveInterestRateStrategyAddress(address reserve, address rateStrategyAddress) external;

    function setConfiguration(address reserve, uint256 configuration) external;

    /**
     * @dev Returns the configuration of the reserve
     * @param asset The address of the underlying asset of the reserve
     * @return The configuration of the reserve
     **/
    function getConfiguration(address asset) external view returns (DataTypes.ReserveConfigurationMap memory);

    /**
     * @dev Returns the configuration of the user across all the reserves
     * @param user The user address
     * @return The configuration of the user
     **/
    function getUserConfiguration(address user) external view returns (DataTypes.UserConfigurationMap memory);

    /**
     * @dev Returns the normalized income normalized income of the reserve
     * @param asset The address of the underlying asset of the reserve
     * @return The reserve's normalized income
     */
    function getReserveNormalizedIncome(address asset) external view returns (uint256);

    /**
     * @dev Returns the normalized variable debt per unit of asset
     * @param asset The address of the underlying asset of the reserve
     * @return The reserve normalized variable debt
     */
    function getReserveNormalizedVariableDebt(address asset) external view returns (uint256);

    /**
     * @dev Returns the state and configuration of the reserve
     * @param asset The address of the underlying asset of the reserve
     * @return The state of the reserve
     **/
    function getReserveData(address asset) external view returns (DataTypes.ReserveData memory);

    function finalizeTransfer(
        address asset,
        address from,
        address to,
        uint256 amount,
        uint256 balanceFromAfter,
        uint256 balanceToBefore
    ) external;

    function getReservesList() external view returns (address[] memory);

    function getAddressesProvider() external view returns (ILendingPoolAddressesProvider);

    function setPause(bool val) external;

    function paused() external view returns (bool);
}

// File: contracts/interfaces/external/aave/ILendingPoolAddressesProvider.sol



// SPDX-License-Identifier: agpl-3.0
pragma solidity 0.8.7;

/**
 * @title LendingPoolAddressesProvider contract
 * @dev Main registry of addresses part of or connected to the protocol, including permissioned roles
 * - Acting also as factory of proxies and admin of those, so with right to change its implementations
 * - Owned by the Aave Governance
 * @author Aave
 **/
interface ILendingPoolAddressesProvider {
    event MarketIdSet(string newMarketId);
    event LendingPoolUpdated(address indexed newAddress);
    event ConfigurationAdminUpdated(address indexed newAddress);
    event EmergencyAdminUpdated(address indexed newAddress);
    event LendingPoolConfiguratorUpdated(address indexed newAddress);
    event LendingPoolCollateralManagerUpdated(address indexed newAddress);
    event PriceOracleUpdated(address indexed newAddress);
    event LendingRateOracleUpdated(address indexed newAddress);
    event ProxyCreated(bytes32 id, address indexed newAddress);
    event AddressSet(bytes32 id, address indexed newAddress, bool hasProxy);

    function getMarketId() external view returns (string memory);

    function setMarketId(string calldata marketId) external;

    function setAddress(bytes32 id, address newAddress) external;

    function setAddressAsProxy(bytes32 id, address impl) external;

    function getAddress(bytes32 id) external view returns (address);

    function getLendingPool() external view returns (address);

    function setLendingPoolImpl(address pool) external;

    function getLendingPoolConfigurator() external view returns (address);

    function setLendingPoolConfiguratorImpl(address configurator) external;

    function getLendingPoolCollateralManager() external view returns (address);

    function setLendingPoolCollateralManager(address manager) external;

    function getPoolAdmin() external view returns (address);

    function setPoolAdmin(address admin) external;

    function getEmergencyAdmin() external view returns (address);

    function setEmergencyAdmin(address admin) external;

    function getPriceOracle() external view returns (address);

    function setPriceOracle(address priceOracle) external;

    function getLendingRateOracle() external view returns (address);

    function setLendingRateOracle(address lendingRateOracle) external;
}

// File: contracts/libraries/Array.sol



// SPDX-License-Identifier: MIT
pragma solidity 0.8.7;

library Array {
    function bubbleSort(address[] memory arr) internal pure {
        uint256 l = arr.length;
        for (uint256 i = 0; i < l; i++) {
            for (uint256 j = i + 1; j < l; j++) {
                if (arr[i] > arr[j]) {
                    address temp = arr[i];
                    arr[i] = arr[j];
                    arr[j] = temp;
                }
            }
        }
    }

    function isSortedAndUnique(address[] memory tokens) internal pure returns (bool) {
        if (tokens.length < 2) {
            return true;
        }
        for (uint256 i = 0; i < tokens.length - 1; i++) {
            if (tokens[i] >= tokens[i + 1]) {
                return false;
            }
        }
        return true;
    }

    /// @dev
    /// Requires both sets of tokens to be sorted. When tokens are not sorted, it's undefined behavior.
    /// If there is a token in tokensToProject that is not part of tokens and corresponding tokenAmountsToProject > 0, reverts.
    /// Zero token amount is eqiuvalent to missing token
    function projectTokenAmounts(
        address[] memory tokens,
        address[] memory tokensToProject,
        uint256[] memory tokenAmountsToProject
    ) internal pure returns (uint256[] memory) {
        uint256[] memory res = new uint256[](tokens.length);
        uint256 t = 0;
        uint256 tp = 0;
        while ((t < tokens.length) && (tp < tokensToProject.length)) {
            if (tokens[t] < tokensToProject[tp]) {
                res[t] = 0;
                t++;
            } else if (tokens[t] > tokensToProject[tp]) {
                if (tokenAmountsToProject[tp] == 0) {
                    tp++;
                } else {
                    revert("TPS");
                }
            } else {
                res[t] = tokenAmountsToProject[tp];
                t++;
                tp++;
            }
        }
        while (t < tokens.length) {
            res[t] = 0;
            t++;
        }
        return res;
    }

    /// @notice Splits each amount from `amounts` into k amounts according to `weights`.
    /// @dev Requires tokens and tokenAmounts to be vector of size n and delegatedTokenAmounts to be k x n matrix
    /// so that delegatedTokenAmounts[i] is a vector of size n
    /// norm is a vector 1 x k
    /// the error is up to k tokens due to rounding
    /// @param amounts Amounts to split, vector n x 1
    /// @param weights Weights of the split, matrix n x k, weights[i] is vector n x 1.
    /// Weights do not need to sum to 1 in each column, but they will be normalized on split.
    function splitAmounts(uint256[] memory amounts, uint256[][] memory weights)
        internal
        pure
        returns (uint256[][] memory)
    {
        uint256 k = weights.length;
        require(k > 0, "KGT0");
        uint256 n = amounts.length;
        require(n > 0, "NGT0");
        uint256[] memory weightsNorm = new uint256[](n);
        for (uint256 i = 0; i < k; i++) {
            require(weights[i].length == n, "NV");
        }
        for (uint256 j = 0; j < n; j++) {
            weightsNorm[j] = 0;
            for (uint256 i = 0; i < k; i++) {
                weightsNorm[j] += weights[i][j];
            }
        }

        uint256[][] memory res = new uint256[][](k);
        for (uint256 i = 0; i < k; i++) {
            res[i] = new uint256[](n);
            for (uint256 j = 0; j < n; j++) {
                res[i][j] = (weights[i][j] * amounts[j]) / weightsNorm[j];
            }
        }
        return res;
    }

    function _isSubsetOf(
        address[] memory tokens,
        address[] memory tokensToCheck,
        address[] memory amountsToCheck
    ) internal {}
}

// File: contracts/libraries/external/FixedPoint96.sol



// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity =0.8.7;

/// @title FixedPoint96
/// @notice A library for handling binary fixed point numbers, see https://en.wikipedia.org/wiki/Q_(number_format)
/// @dev Used in SqrtPriceMath.sol
library FixedPoint96 {
    uint8 internal constant RESOLUTION = 96;
    uint256 internal constant Q96 = 0x1000000000000000000000000;
}