// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

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

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

    mapping(bytes32 => RoleData) private _roles;

    bytes32 public constant DEFAULT_ADMIN_ROLE = 0x00;

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

// 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);
    }

    /**
     * @dev Tool to verifies that a low level call was successful, and revert if it wasn't, either by bubbling the
     * revert reason using the provided one.
     *
     * _Available since v4.3._
     */
    function verifyCallResult(
        bool success,
        bytes memory returndata,
        string memory errorMessage
    ) internal pure returns (bytes memory) {
        if (success) {
            return returndata;
        } else {
            // Look for revert reason and bubble it up if present
            if (returndata.length > 0) {
                // The easiest way to bubble the revert reason is using memory via assembly

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

// 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;
    }
}

// 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;
    }
}

// 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.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 {}
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

import "../ERC721.sol";
import "./IERC721Enumerable.sol";

/**
 * @dev This implements an optional extension of {ERC721} defined in the EIP that adds
 * enumerability of all the token ids in the contract as well as all token ids owned by each
 * account.
 */
abstract contract ERC721Enumerable is ERC721, IERC721Enumerable {
    // Mapping from owner to list of owned token IDs
    mapping(address => mapping(uint256 => uint256)) private _ownedTokens;

    // Mapping from token ID to index of the owner tokens list
    mapping(uint256 => uint256) private _ownedTokensIndex;

    // Array with all token ids, used for enumeration
    uint256[] private _allTokens;

    // Mapping from token id to position in the allTokens array
    mapping(uint256 => uint256) private _allTokensIndex;

    /**
     * @dev See {IERC165-supportsInterface}.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override(IERC165, ERC721) returns (bool) {
        return interfaceId == type(IERC721Enumerable).interfaceId || super.supportsInterface(interfaceId);
    }

    /**
     * @dev See {IERC721Enumerable-tokenOfOwnerByIndex}.
     */
    function tokenOfOwnerByIndex(address owner, uint256 index) public view virtual override returns (uint256) {
        require(index < ERC721.balanceOf(owner), "ERC721Enumerable: owner index out of bounds");
        return _ownedTokens[owner][index];
    }

    /**
     * @dev See {IERC721Enumerable-totalSupply}.
     */
    function totalSupply() public view virtual override returns (uint256) {
        return _allTokens.length;
    }

    /**
     * @dev See {IERC721Enumerable-tokenByIndex}.
     */
    function tokenByIndex(uint256 index) public view virtual override returns (uint256) {
        require(index < ERC721Enumerable.totalSupply(), "ERC721Enumerable: global index out of bounds");
        return _allTokens[index];
    }

    /**
     * @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` cannot be the zero address.
     * - `to` cannot be the zero address.
     *
     * 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 override {
        super._beforeTokenTransfer(from, to, tokenId);

        if (from == address(0)) {
            _addTokenToAllTokensEnumeration(tokenId);
        } else if (from != to) {
            _removeTokenFromOwnerEnumeration(from, tokenId);
        }
        if (to == address(0)) {
            _removeTokenFromAllTokensEnumeration(tokenId);
        } else if (to != from) {
            _addTokenToOwnerEnumeration(to, tokenId);
        }
    }

    /**
     * @dev Private function to add a token to this extension's ownership-tracking data structures.
     * @param to address representing the new owner of the given token ID
     * @param tokenId uint256 ID of the token to be added to the tokens list of the given address
     */
    function _addTokenToOwnerEnumeration(address to, uint256 tokenId) private {
        uint256 length = ERC721.balanceOf(to);
        _ownedTokens[to][length] = tokenId;
        _ownedTokensIndex[tokenId] = length;
    }

    /**
     * @dev Private function to add a token to this extension's token tracking data structures.
     * @param tokenId uint256 ID of the token to be added to the tokens list
     */
    function _addTokenToAllTokensEnumeration(uint256 tokenId) private {
        _allTokensIndex[tokenId] = _allTokens.length;
        _allTokens.push(tokenId);
    }

    /**
     * @dev Private function to remove a token from this extension's ownership-tracking data structures. Note that
     * while the token is not assigned a new owner, the `_ownedTokensIndex` mapping is _not_ updated: this allows for
     * gas optimizations e.g. when performing a transfer operation (avoiding double writes).
     * This has O(1) time complexity, but alters the order of the _ownedTokens array.
     * @param from address representing the previous owner of the given token ID
     * @param tokenId uint256 ID of the token to be removed from the tokens list of the given address
     */
    function _removeTokenFromOwnerEnumeration(address from, uint256 tokenId) private {
        // To prevent a gap in from's tokens array, we store the last token in the index of the token to delete, and
        // then delete the last slot (swap and pop).

        uint256 lastTokenIndex = ERC721.balanceOf(from) - 1;
        uint256 tokenIndex = _ownedTokensIndex[tokenId];

        // When the token to delete is the last token, the swap operation is unnecessary
        if (tokenIndex != lastTokenIndex) {
            uint256 lastTokenId = _ownedTokens[from][lastTokenIndex];

            _ownedTokens[from][tokenIndex] = lastTokenId; // Move the last token to the slot of the to-delete token
            _ownedTokensIndex[lastTokenId] = tokenIndex; // Update the moved token's index
        }

        // This also deletes the contents at the last position of the array
        delete _ownedTokensIndex[tokenId];
        delete _ownedTokens[from][lastTokenIndex];
    }

    /**
     * @dev Private function to remove a token from this extension's token tracking data structures.
     * This has O(1) time complexity, but alters the order of the _allTokens array.
     * @param tokenId uint256 ID of the token to be removed from the tokens list
     */
    function _removeTokenFromAllTokensEnumeration(uint256 tokenId) private {
        // To prevent a gap in the tokens array, we store the last token in the index of the token to delete, and
        // then delete the last slot (swap and pop).

        uint256 lastTokenIndex = _allTokens.length - 1;
        uint256 tokenIndex = _allTokensIndex[tokenId];

        // When the token to delete is the last token, the swap operation is unnecessary. However, since this occurs so
        // rarely (when the last minted token is burnt) that we still do the swap here to avoid the gas cost of adding
        // an 'if' statement (like in _removeTokenFromOwnerEnumeration)
        uint256 lastTokenId = _allTokens[lastTokenIndex];

        _allTokens[tokenIndex] = lastTokenId; // Move the last token to the slot of the to-delete token
        _allTokensIndex[lastTokenId] = tokenIndex; // Update the moved token's index

        // This also deletes the contents at the last position of the array
        delete _allTokensIndex[tokenId];
        _allTokens.pop();
    }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

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

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

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

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

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

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

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

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

// 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);
}

// 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;
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

import "../IERC721.sol";

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

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

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

// 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);
}

// 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);
}

// SPDX-License-Identifier: MIT
pragma solidity 0.8.6;
import "@openzeppelin/contracts/token/ERC721/extensions/IERC721Enumerable.sol";
import "@openzeppelin/contracts/token/ERC721/extensions/IERC721Metadata.sol";

interface IN is IERC721Enumerable, IERC721Metadata {
    function getFirst(uint256 tokenId) external view returns (uint256);

    function getSecond(uint256 tokenId) external view returns (uint256);

    function getThird(uint256 tokenId) external view returns (uint256);

    function getFourth(uint256 tokenId) external view returns (uint256);

    function getFifth(uint256 tokenId) external view returns (uint256);

    function getSixth(uint256 tokenId) external view returns (uint256);

    function getSeventh(uint256 tokenId) external view returns (uint256);

    function getEight(uint256 tokenId) external view returns (uint256);
}

// SPDX-License-Identifier: MIT
/**
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@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@           @@@@@@@@@@
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 */
pragma solidity 0.8.6;

interface INOwnerResolver {
    function ownerOf(uint256 nid) external view returns (address);

    function balanceOf(address account) external view returns (uint256);

    function nOwned(address owner) external view returns (uint256[] memory);
}

// SPDX-License-Identifier: MIT
pragma solidity 0.8.6;
import "@openzeppelin/contracts/token/ERC721/extensions/IERC721Enumerable.sol";

interface INilPass is IERC721Enumerable {
    struct MintParams {
        uint256 reservedAllowance;
        uint256 maxTotalSupply;
        uint256 nHoldersMintsAvailable;
        uint256 openMintsAvailable;
        uint256 totalMintsAvailable;
        uint256 nHolderPriceInWei;
        uint256 openPriceInWei;
        uint256 totalSupply;
        uint256 maxMintAllowance;
        bool onlyNHolders;
        bool supportsTokenId;
    }

    function mint(
        address recipient,
        uint8 amount,
        uint256 paid
    ) external;

    function mintTokenId(
        address recipient,
        uint256[] calldata tokenIds,
        uint256 paid
    ) external;

    function mintWithN(
        address recipient,
        uint256[] calldata tokenIds,
        uint256 paid
    ) external;

    function totalMintsAvailable() external view returns (uint256);

    function maxTotalSupply() external view returns (uint256);

    function mintParameters() external view returns (MintParams memory);

    function tokenExists(uint256 tokenId) external view returns (bool);

    function canMint(address account) external view returns (bool);
}

// SPDX-License-Identifier: MIT
pragma solidity 0.8.6;

interface IPricingStrategy {

    /**
    * @notice Returns the next price for an N mint
    */
    function getNextPriceForNHoldersInWei(uint256 numberOfMints) external view returns (uint256);

    /**
    * @notice Returns the next price for an open mint
    */
    function getNextPriceForOpenMintInWei(uint256 numberOfMints) external view returns (uint256);

}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

/**
 * @dev Standard math utilities missing in the Solidity language.
 */
library Math {
    /**
     * @dev Returns the largest of two numbers.
     */
    function max(uint256 a, uint256 b) internal pure returns (uint256) {
        return a >= b ? a : b;
    }

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

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

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

// SPDX-License-Identifier: MIT
pragma solidity 0.8.6;

import "@openzeppelin/contracts/token/ERC721/extensions/ERC721Enumerable.sol";
import "@openzeppelin/contracts/security/ReentrancyGuard.sol";
import "@openzeppelin/contracts/access/AccessControl.sol";
import "@openzeppelin/contracts/utils/math/Math.sol";
import "../interfaces/IN.sol";
import "../interfaces/INilPass.sol";
import "../interfaces/IPricingStrategy.sol";

/**
 * @title NilPassCore contract
 * @author Tony Snark
 * @notice This contract provides basic functionalities to allow minting using the NilPass
 * @dev This contract should be used only for testing or testnet deployments
 */
abstract contract NilPassCore is ERC721Enumerable, ReentrancyGuard, AccessControl, INilPass, IPricingStrategy {
    uint128 public constant MAX_MULTI_MINT_AMOUNT = 32;
    uint128 public constant MAX_N_TOKEN_ID = 8888;
    bytes32 public constant ADMIN_ROLE = keccak256("ADMIN");
    bytes32 public constant DAO_ROLE = keccak256("DAO");

    IN public immutable n;
    uint16 public reserveMinted;
    uint256 public mintedOutsideNRange;
    address public masterMint;
    DerivativeParameters public derivativeParams;
    uint128 maxTokenId;

    struct DerivativeParameters {
        bool onlyNHolders;
        bool supportsTokenId;
        uint16 reservedAllowance;
        uint128 maxTotalSupply;
        uint128 maxMintAllowance;
    }

    event Minted(address to, uint256 tokenId);

    /**
     * @notice Construct an NilPassCore instance
     * @param name Name of the token
     * @param symbol Symbol of the token
     * @param n_ Address of your n instance (only for testing)
     * @param derivativeParams_ Parameters describing the derivative settings
     * @param masterMint_ Address of the master mint contract
     * @param dao_ Address of the NIL DAO
     */
    constructor(
        string memory name,
        string memory symbol,
        IN n_,
        DerivativeParameters memory derivativeParams_,
        address masterMint_,
        address dao_
    ) ERC721(name, symbol) {
        derivativeParams = derivativeParams_;
        require(derivativeParams.maxTotalSupply > 0, "NilPass:INVALID_SUPPLY");
        require(!derivativeParams.onlyNHolders || (derivativeParams.onlyNHolders && derivativeParams.maxTotalSupply <= MAX_N_TOKEN_ID), "NilPass:INVALID_SUPPLY");
        require(derivativeParams.maxTotalSupply >= derivativeParams.reservedAllowance, "NilPass:INVALID_ALLOWANCE");
        require(masterMint_ != address(0), "NilPass:INVALID_MASTERMINT");
        require(dao_ != address(0), "NilPass:INVALID_DAO");
        n = n_;
        masterMint = masterMint_;
        derivativeParams.maxMintAllowance = derivativeParams.maxMintAllowance < MAX_MULTI_MINT_AMOUNT ? derivativeParams.maxMintAllowance : MAX_MULTI_MINT_AMOUNT ;
        maxTokenId  = derivativeParams.maxTotalSupply > MAX_N_TOKEN_ID ? derivativeParams.maxTotalSupply : MAX_N_TOKEN_ID;
        _setupRole(ADMIN_ROLE, msg.sender);
        _setupRole(DAO_ROLE, dao_);
        _setRoleAdmin(ADMIN_ROLE, ADMIN_ROLE);
        _setRoleAdmin(DAO_ROLE, DAO_ROLE);
    }

    modifier onlyAdmin() {
        require(hasRole(ADMIN_ROLE, msg.sender), "Nil:ACCESS_DENIED");
        _;
    }

    modifier onlyDAO() {
        require(hasRole(DAO_ROLE, msg.sender), "Nil:ACCESS_DENIED");
        _;
    }

    /**
     * @notice Allow anyone to mint a token with the supply id if this pass is unrestricted.
     *         n token holders can use this function without using the n token holders allowance,
     *         this is useful when the allowance is fully utilized.
     * @param recipient Recipient of the mint
     * @param amount Amount of tokens to mint
     * @param paid Amount paid for the mint
     */
    function mint(
        address recipient,
        uint8 amount,
        uint256 paid
    ) public virtual override nonReentrant {
        require(!derivativeParams.onlyNHolders, "NilPass:OPEN_MINTING_DISABLED");
        require(!derivativeParams.supportsTokenId, "NilPass: NON_TOKENID_MINTING_DISABLED");
        require(amount <= derivativeParams.maxMintAllowance, "NilPass: MINT_ABOVE_MAX_MINT_ALLOWANCE");
        require(openMintsAvailable() >= amount, "NilPass:MAX_ALLOCATION_REACHED");
        require(paid == getNextPriceForOpenMintInWei(amount), "NilPass:INVALID_PRICE");
        for (uint256 i = 0; i < amount; i++) {
            _safeMint(recipient, MAX_N_TOKEN_ID + 1 + mintedOutsideNRange);
            mintedOutsideNRange++;
        }
    }

    /**
     * @notice Allow anyone to mint multiple tokens with the provided IDs if this pass is unrestricted.
     *         n token holders can use this function without using the n token holders allowance,
     *         this is useful when the allowance is fully utilized.
     * @param recipient Recipient of the mint
     * @param tokenIds Ids to be minted
     * @param paid Amount paid for the mint
     */
    function mintTokenId(
        address recipient,
        uint256[] calldata tokenIds,
        uint256 paid
    ) public virtual override nonReentrant {
        uint256 maxTokensToMint = tokenIds.length;
        require(maxTokensToMint <= derivativeParams.maxMintAllowance, "NilPass: MINT_ABOVE_MAX_MINT_ALLOWANCE");
        require(derivativeParams.supportsTokenId, "NilPass: TOKENID_MINTING_DISABLED");
        require(!derivativeParams.onlyNHolders, "NilPass:OPEN_MINTING_DISABLED");
        require(openMintsAvailable() >= maxTokensToMint, "NilPass:MAX_ALLOCATION_REACHED");
        require(paid == getNextPriceForOpenMintInWei(maxTokensToMint), "NilPass:INVALID_PRICE");

        // To avoid wasting gas we want to check all preconditions beforehand
        for (uint256 i = 0; i < maxTokensToMint; i++) {
            require(
                tokenIds[i] > 0 && tokenIds[i] <= maxTokenId,
                "NilPass:TOKEN_NOT_WITHIN_RANGE"
            );
            require(!_exists(tokenIds[i]), "NilPass:TOKEN_ALREADY_EXISTS");
        }

        for (uint256 i = 0; i < maxTokensToMint; i++) {
            _safeMint(recipient, tokenIds[i]);
        }
    }

    /**
     * @notice Allow a n token holder to bulk mint tokens with id of their n tokens' id
     * @param recipient Recipient of the mint
     * @param tokenIds Ids to be minted
     * @param paid Amount paid for the mint
     */
    function mintWithN(
        address recipient,
        uint256[] calldata tokenIds,
        uint256 paid
    ) public virtual override nonReentrant {
        uint256 maxTokensToMint = tokenIds.length;
        require(maxTokensToMint <= derivativeParams.maxMintAllowance, "NilPass: MINT_ABOVE_MAX_MINT_ALLOWANCE");
        require(
            // If no reserved allowance we respect total supply contraint
            (derivativeParams.reservedAllowance == 0 && totalSupply() + maxTokensToMint <= derivativeParams.maxTotalSupply) ||
                reserveMinted + maxTokensToMint <= derivativeParams.reservedAllowance,
            "NilPass:MAX_ALLOCATION_REACHED"
        );
        require(paid == getNextPriceForNHoldersInWei(maxTokensToMint), "NilPass:INVALID_PRICE");

        // If reserved allowance is active we track mints count
        if (derivativeParams.reservedAllowance > 0) {
            reserveMinted += uint16(maxTokensToMint);
        }
        for (uint256 i = 0; i < maxTokensToMint; i++) {
            _safeMint(recipient, tokenIds[i]);
        }
    }

    /**
     * @dev Safely mints `tokenId` and transfers it to `to`
     */
    function _safeMint(address to, uint256 tokenId) internal virtual override {
        require(msg.sender == masterMint, "NilPass:INVALID_MINTER");
        super._safeMint(to, tokenId);
        emit Minted(to, tokenId);
    }

    /**
     * @notice Set the exclusivity flag to only allow N holders to mint
     * @param status Boolean to enable or disable N holder exclusivity
     */
    function setOnlyNHolders(bool status) public onlyAdmin {
        derivativeParams.onlyNHolders = status;
    }

    /**
     * @notice Calculate the currently available number of reserved tokens for n token holders
     * @return Reserved mint available
     */
    function nHoldersMintsAvailable() public view returns (uint256) {
        return derivativeParams.reservedAllowance - reserveMinted;
    }

    /**
     * @notice Calculate the currently available number of open mints
     * @return Open mint available
     */
    function openMintsAvailable() public view returns (uint256) {
        uint256 maxOpenMints = derivativeParams.maxTotalSupply - derivativeParams.reservedAllowance;
        uint256 currentOpenMints = totalSupply() - reserveMinted;
        return maxOpenMints - currentOpenMints;
    }

    /**
     * @notice Calculate the total available number of mints
     * @return total mint available
     */
    function totalMintsAvailable() public view virtual override returns (uint256) {
        return nHoldersMintsAvailable() + openMintsAvailable();
    }

    function mintParameters() external view override returns (INilPass.MintParams memory) {
        return
            INilPass.MintParams({
                reservedAllowance: derivativeParams.reservedAllowance,
                maxTotalSupply: derivativeParams.maxTotalSupply,
                openMintsAvailable: openMintsAvailable(),
                totalMintsAvailable: totalMintsAvailable(),
                nHoldersMintsAvailable: nHoldersMintsAvailable(),
                nHolderPriceInWei: getNextPriceForNHoldersInWei(1),
                openPriceInWei: getNextPriceForOpenMintInWei(1),
                totalSupply: totalSupply(),
                onlyNHolders: derivativeParams.onlyNHolders,
                maxMintAllowance: derivativeParams.maxMintAllowance,
                supportsTokenId: derivativeParams.supportsTokenId
            });
    }

    /**
     * @notice Check if a token with an Id exists
     * @param tokenId The token Id to check for
     */
    function tokenExists(uint256 tokenId) external view override returns (bool) {
        return _exists(tokenId);
    }


    function supportsInterface(bytes4 interfaceId) public view virtual override(ERC721Enumerable, IERC165, AccessControl) returns (bool) {
        return super.supportsInterface(interfaceId);
    }

    function maxTotalSupply() external view override returns (uint256) {
        return derivativeParams.maxTotalSupply;
    }

    function reservedAllowance() public view returns (uint16) {
        return derivativeParams.reservedAllowance;
    }

    function getNextPriceForNHoldersInWei(uint256) public virtual override view returns (uint256);

    function getNextPriceForOpenMintInWei(uint256) public virtual override view returns (uint256);

    function canMint(address account)public virtual override view returns (bool);

}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

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

/**
 * @dev Contract module which provides a basic access control mechanism, where
 * there is an account (an owner) that can be granted exclusive access to
 * specific functions.
 *
 * By default, the owner account will be the one that deploys the contract. This
 * can later be changed with {transferOwnership}.
 *
 * This module is used through inheritance. It will make available the modifier
 * `onlyOwner`, which can be applied to your functions to restrict their use to
 * the owner.
 */
abstract contract Ownable is Context {
    address private _owner;

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

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

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

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

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

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

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

//SPDX-License-Identifier: MIT
pragma solidity 0.8.6;

import "@openzeppelin/contracts/token/ERC721/extensions/ERC721Enumerable.sol";
import "@openzeppelin/contracts/security/ReentrancyGuard.sol";
import "@openzeppelin/contracts/access/Ownable.sol";
import "@openzeppelin/contracts/utils/math/SafeMath.sol";
import "@openzeppelin/contracts/utils/Address.sol";
import "../interfaces/IN.sol";
import "../interfaces/INOwnerResolver.sol";
import "../libraries/PotenzaUtils.sol";
import "./PotenzaPricing.sol";

///////////////////////////////////////////////////////////////////
//                                                               //
//                                                               //
//               _____      _                                    //
//              |  __ \    | |                                   //
//              | |__) |__ | |_ ___ _ __  ______ _               //
//              |  ___/ _ \| __/ _ \ '_ \|_  / _` |              //
//              | |  | (_) | ||  __/ | | |/ / (_| |              //
//              |_|   \___/ \__\___|_| |_/___\__,_|              //
//                                                               //
//                                                               //
//  Art: Gavin Potenza                                           //
//  Dev: Archethect                                              //
//  Description: Contract for the creation of on-chain           //
//               Potenza Art with the possibility to burn        //
//               black/white art for color versions.             //
///////////////////////////////////////////////////////////////////

contract Potenza is PotenzaPricing {

    using SafeMath for uint256;
    using Address for address;


    string public metadataUri;
    string public metadataExtension;
    bool public openSale;
    bool public nPreSale;
    bool public publicPreSale;
    bool public colorBurn;
    uint16 public currentSupply;
    uint nonce;
    uint256 presaleNAddressAmount = 303;
    uint256 presaleNCount;
    uint256 presalePublicAmount = 819;
    uint256 presalePublicCount;
    uint256 presaleMintsPerAddress = 3;
    uint256 giveaways = 14;
    uint256 openSaleTimestamp;
    address giveawayAddress = 0x92D5561C7Ee3116B29117d10Ac79227c46C9C689;
    INOwnerResolver public immutable nOwnerResolver;

    mapping(uint256 => bool) burned;
    mapping(uint256 => bool) redeemed;
    mapping(address => uint256) redeemedByaddress;
    mapping(address => bool) presaleAddress;

    event Burnt(address to, uint256 burntTokenId1, uint256 burntTokenId2, uint256 colorTokenId);

    DerivativeParameters params = DerivativeParameters(false, false, 0, 1333, 3);

    constructor (string memory _name, string memory _symbol, address _n, address masterMint, address dao, address nOwnersRegistry) PotenzaPricing(_name, _symbol, IN(_n), params, 66600000000000000, 99900000000000000, masterMint, dao) {
        metadataUri = "https://arweave.net/Ug_hX5BSsh8WHnjFcWDqwWlWqULOqyZPFN4wL63-mGo/";
        metadataExtension = ".json";
        nOwnerResolver =  INOwnerResolver(nOwnersRegistry);
    }

    function switchOpenSale(bool status) public onlyAdmin {
        openSale = status;
        if(status && openSaleTimestamp == 0) {
            openSaleTimestamp = block.timestamp;
        }
    }

    function switchColorBurn(bool status) public onlyAdmin {
        colorBurn = status;
    }

    function switchNPresale(bool status) public onlyAdmin {
        nPreSale = status;
    }

    function switchPublicPresale(bool status) public onlyAdmin {
        publicPreSale = status;
    }

    function setPresaleAddresses(address[] calldata addresses) external onlyAdmin {
        for(uint256 i = 0; i < addresses.length; i++) {
            presaleAddress[addresses[i]] = true;
        }
    }

    /**
     * @notice Allow anyone to mint one or multiple tokens during the open sale. During the public presale only
               addresses of the presale list are eligible to buy an this up to 'presaleMintsPerAddress' tokens. Minted
               tokenId's are randomised.
     * @param recipient Recipient of the mint
     * @param amount Amount of tokens to mint
     * @param paid Amount paid for the mint
     */
    function mint(
        address recipient,
        uint8 amount,
        uint256 paid
    ) public virtual override nonReentrant {
        require(publicPreSale || openSale, "POTENZA:SALE_NOT_OPEN");
        require(amount <= derivativeParams.maxMintAllowance, "POTENZA:MINT_ABOVE_ALLOWANCE");
        require(totalMintsAvailable() >= amount, "POTENZA:MAX_ALLOCATION_REACHED");
        if(publicPreSale && !openSale) {
            require(presaleAddress[recipient], "POTENZA:NOT_ON_PRESALE_LIST");
            require(presalePublicCount + amount <= presalePublicAmount, "POTENZA:AMOUNT_EXCEEDS_PRESALE_LIMIT");
            require(redeemedByaddress[recipient] + amount <= presaleMintsPerAddress, "POTENZA:AMOUNT_EXCEEDS_PERSONAL_LIMIT");
            redeemedByaddress[recipient] += amount;
            presalePublicCount += amount;
        }
        require(paid == getNextPriceForOpenMintInWei(amount), "POTENZA:INVALID_PRICE");

        for (uint256 i = 0; i < amount; i++) {
            currentSupply++;
            uint256 id = randomId();
            _safeMint(recipient, id);
        }
    }

    /**
     * @notice Allow N holders to buy during the N presale or open sale with their N number. During the presale
               'presaleNAddressAmount' tokens can be minted in total. We try to match the tokenId with the
                N number if it is still available. If not, the tokenId is randomised.
     * @param recipient Recipient of the mint
     * @param tokenIds Ids to be minted
     * @param paid Amount paid for the mint
     */
    function mintWithN(
        address recipient,
        uint256[] calldata tokenIds,
        uint256 paid
    ) public override virtual nonReentrant {
        require(nPreSale || openSale, "POTENZA:SALE_NOT_OPEN");
        uint256 maxTokensToMint = tokenIds.length;
        require(maxTokensToMint <= derivativeParams.maxMintAllowance, "POTENZA:MINT_ABOVE_ALLOWANCE");
        require(totalMintsAvailable() >= maxTokensToMint, "POTENZA:MAX_ALLOCATION_REACHED");
        if(nPreSale && !openSale) {
            require(presaleNCount + maxTokensToMint <= presaleNAddressAmount, "POTENZA:AMOUNT_EXCEEDS_PRESALE_LIMIT");
            presaleNCount += maxTokensToMint;
        }
        require(paid == getNextPriceForNHoldersInWei(maxTokensToMint), "POTENZA:INVALID_PRICE");

        for (uint256 j = 0; j < maxTokensToMint; j++) {
            //Check for all tokenIds before minting.
            require(!redeemed[tokenIds[j]], "POTENZA:TOKEN_ALREADY_REDEEMED");
        }

        for (uint256 i = 0; i < maxTokensToMint; i++) {
            uint256 id = tokenIds[i];
            if(_exists(id) || burned[id]) {
                id = randomId();
            }
            currentSupply++;
            redeemed[tokenIds[i]] = true;
            _safeMint(recipient, id);
        }
    }


    /**
     * @notice Allow anyone to burn two Potenza tokens the own and mint a new colored token with the inherited rarity of the
     *         rarest token.
     * @param tokenId1 id of first token to burn
     * @param tokenId2 id of second token to burn
     */
    function burnForColor(uint256 tokenId1, uint256 tokenId2) public nonReentrant {
        require(ownerOf(tokenId1) == msg.sender && ownerOf(tokenId2) == msg.sender, "POTENZA:INCORRECT_OWNER");
        require(tokenId1 != tokenId2, "POTENZA:EQUAL_TOKENS");
        require(tokenId1 > 0 && tokenId1 <= MAX_N_TOKEN_ID && tokenId2 > 0 && tokenId2 <= MAX_N_TOKEN_ID, "POTENZA:INVALID_TOKEN");
        require(colorBurn, "POTENZA:BURN_INACTIVE");

        uint256 rarest = getRarityScore(tokenId1) < getRarityScore(tokenId2) ? tokenId2 : tokenId1;

        _burn(tokenId1);
        _burn(tokenId2);
        burned[tokenId1] = true;
        burned[tokenId2] = true;
        _mint(msg.sender, 10000+rarest);
        emit Burnt(msg.sender, tokenId1, tokenId2, 10000+rarest);
    }

    /**
     * @notice redeem giveaways
     */
    function redeemGiveaways() external onlyAdmin {
        for (uint256 i = 0; i < giveaways; i++) {
            currentSupply++;
            uint id = randomId();
            super._safeMint(giveawayAddress, id, "");
        }
    }

    /**
     * @notice Calculate the total available number of mints. This includes the 'Snark double burn'™ mechanism kicking in at 18 hours after the open sale started.
     * @return total mint available
     */
    function totalMintsAvailable() public view override returns (uint256) {
        uint256 totalAvailable = derivativeParams.maxTotalSupply - currentSupply;
        if(openSaleTimestamp != 0 && block.timestamp > openSaleTimestamp + 18 hours) {
            // Double candle burning starts and decreases max. mintable supply with 1 token per minute.
            uint256 doubleBurn = (block.timestamp - (openSaleTimestamp + 18 hours)) / 1 minutes;
            totalAvailable = totalAvailable > doubleBurn ? totalAvailable - doubleBurn : 0;
        }
        return totalAvailable;
    }

    function canMint(address account) public virtual override view returns (bool) {
        if(openSale &&
            (totalMintsAvailable() > 0)) {
            return true;
        }
        if(nPreSale &&
            (totalMintsAvailable() > 0) &&
            (nOwnerResolver.balanceOf(account) > 0) &&
            (presaleNCount < presaleNAddressAmount)) {
            return true;
        }
        if(publicPreSale &&
            (totalMintsAvailable() > 0) &&
            (presaleAddress[account] == true) &&
            (redeemedByaddress[account] < presaleMintsPerAddress)) {
            return true;
        }
        return false;
    }

    function getRarityScore(uint256 tokenId) public view returns (uint256) {
        tokenId = tokenId > 10000 ? tokenId-10000 : tokenId;
        uint[3] memory highestFrequency = PotenzaUtils.getHighestFrequency(tokenId, n);
        uint256 maxSequence = PotenzaUtils.getMaxSequence(tokenId, n);
        uint256 sum = PotenzaUtils.getSum(tokenId, n);
        uint256 zeroOrFourteen = PotenzaUtils.getZeroOrFourteenScore(tokenId, n);
        uint256 sumScore = (sum <= 30 || sum > 60) ? ((sum <= 20 || sum > 70) ? 10 : 5) : 0;
        return (((3*highestFrequency[0])+(2*highestFrequency[1])+highestFrequency[2]+(maxSequence*maxSequence) + sumScore + zeroOrFourteen) * 2) - 2;
    }

    function tokenURI(uint256 tokenId) public view virtual override returns (string memory) {
        require(_exists(tokenId), "ERC721Metadata: URI query for nonexistent token");
        return string(abi.encodePacked(super.tokenURI(tokenId),metadataExtension));
    }

    function setMetadataURIAndExtension(string calldata metadataUri_, string calldata metadataExtension_) external onlyDAO {
        metadataUri = metadataUri_;
        metadataExtension = metadataExtension_;
    }

    function random() private view returns(uint256) {
        return uint256((uint(keccak256(abi.encodePacked(block.timestamp, msg.sender, block.difficulty, nonce))) % MAX_N_TOKEN_ID) + 1);
    }

    function randomId() private returns (uint256) {
        uint256 id = random();
        nonce++;
        //Make sure we select an N number that has not been used for minting.
        while(_exists(id) || burned[id]) {
            nonce++;
            id = random();
        }
        return id;
    }

    function _baseURI() override internal view virtual returns (string memory) {
        return metadataUri;
    }
}

// SPDX-License-Identifier: MIT
pragma solidity 0.8.6;

import "../core/NilPassCore.sol";

 abstract contract PotenzaPricing is NilPassCore {

    uint256 immutable nPrice;
    uint256 immutable openPrice;

    constructor(
        string memory name,
        string memory symbol,
        IN n,
        DerivativeParameters memory derivativeParams,
        uint256 nPrice_,
        uint256 openPrice_,
        address masterMint,
        address dao
    )
    NilPassCore(
        name,
        symbol,
        n,
        derivativeParams,
        masterMint,
        dao
    )
    {
        nPrice = nPrice_;
        openPrice = openPrice_;
    }

    /**
     * @notice Returns the next price for an N mint
     */
    function getNextPriceForNHoldersInWei(uint256 numberOfMints) public virtual override view returns (uint256) {
        return numberOfMints*nPrice;
    }

    /**
     * @notice Returns the next price for an open mint
     */
    function getNextPriceForOpenMintInWei(uint256 numberOfMints) public virtual override view returns (uint256) {
        return numberOfMints*openPrice;
    }
}

// SPDX-License-Identifier: MIT
pragma solidity 0.8.6;
import "../interfaces/IN.sol";

library PotenzaUtils {

    function getZeroOrFourteenScore(uint256 tokenId, IN n) public view returns(uint256) {
        if(n.getFirst(tokenId) == 0 || n.getFirst(tokenId) == 14 ||
        n.getSecond(tokenId) == 0 || n.getSecond(tokenId) == 14 ||
        n.getThird(tokenId) == 0 || n.getThird(tokenId) == 14 ||
        n.getFourth(tokenId) == 0 || n.getFourth(tokenId) == 14 ||
        n.getFifth(tokenId) == 0 || n.getFifth(tokenId) == 14 ||
        n.getSixth(tokenId) == 0 || n.getSixth(tokenId) == 14 ||
        n.getSeventh(tokenId) == 0 || n.getSeventh(tokenId) == 14 ||
        n.getEight(tokenId) == 0 || n.getEight(tokenId) == 14) {
            return 20;
        }
        return 0;
    }

    function getMaxSequence(uint256 tokenId,IN n) public view returns(uint256) {
        uint256 count = 1;
        uint256 highest = 1;
        uint256[8] memory  sequenceArray = [n.getFirst(tokenId),n.getSecond(tokenId),n.getThird(tokenId),n.getFourth(tokenId),n.getFifth(tokenId),n.getSixth(tokenId),n.getSeventh(tokenId),n.getEight(tokenId)];
        for(uint256 i = 1; i < sequenceArray.length;i++) {
            if(sequenceArray[i-1] == sequenceArray[i]) {
                count += 1;
                if(i == sequenceArray.length-1 && count > highest) {
                    highest = count;
                }
            } else {
                if(count > highest) {
                    highest = count;
                }
                count = 1;
            }
        }
        return highest;
    }

    function getSum(uint256 tokenId,IN n) public view returns(uint256) {
        return n.getFirst(tokenId)+
        n.getSecond(tokenId)+
        n.getThird(tokenId)+
        n.getFourth(tokenId)+
        n.getFifth(tokenId)+
        n.getSixth(tokenId)+
        n.getSeventh(tokenId)+
        n.getEight(tokenId);
    }

    function getHighestFrequency(uint256 tokenId, IN n) public view returns(uint256[3] memory) {
        uint256[15] memory set;
        set[n.getFirst(tokenId)] = set[n.getFirst(tokenId)]+1;
        set[n.getSecond(tokenId)] = set[n.getSecond(tokenId)]+1;
        set[n.getThird(tokenId)] = set[n.getThird(tokenId)]+1;
        set[n.getFourth(tokenId)] = set[n.getFourth(tokenId)]+1;
        set[n.getFifth(tokenId)] = set[n.getFifth(tokenId)]+1;
        set[n.getSixth(tokenId)] = set[n.getSixth(tokenId)]+1;
        set[n.getSeventh(tokenId)] = set[n.getSeventh(tokenId)]+1;
        set[n.getEight(tokenId)] = set[n.getEight(tokenId)]+1;
        uint256[3] memory highest;

        for(uint256 i = 1; i < set.length;i++) {
            if(set[i] > highest[0]) {
                highest[2] = highest[1];
                highest[1] = highest[0];
                highest[0] = set[i];
            } else {
                if(set[i] > highest[1]) {
                    highest[2] = highest[1];
                    highest[1] = set[i];
                } else {
                    if(set[i] > highest[2]) {
                        highest[2] = set[i];
                    }
                }
            }
        }
        return highest;
    }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

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

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

    uint256 private _status;

    constructor() {
        _status = _NOT_ENTERED;
    }

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

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

        _;

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

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

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

/**
 * @dev Wrappers over Solidity's arithmetic operations.
 *
 * NOTE: `SafeMath` is no longer needed starting with Solidity 0.8. The compiler
 * now has built in overflow checking.
 */
library SafeMath {
    /**
     * @dev Returns the addition of two unsigned integers, with an overflow flag.
     *
     * _Available since v3.4._
     */
    function tryAdd(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        unchecked {
            uint256 c = a + b;
            if (c < a) return (false, 0);
            return (true, c);
        }
    }

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

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

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

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

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

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

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

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

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

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

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

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

// 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);
    }
}

{
  "compilationTarget": {
    "contracts/potenza/Potenza.sol": "Potenza"
  },
  "evmVersion": "berlin",
  "libraries": {
    "contracts/libraries/PotenzaUtils.sol:PotenzaUtils": "0x1a137d153d79ecd9eb5b26a56f8f9c26910550e0"
  },
  "metadata": {
    "bytecodeHash": "none",
    "useLiteralContent": true
  },
  "optimizer": {
    "enabled": true,
    "runs": 800
  },
  "remappings": []
}