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



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

pragma solidity ^0.8.0;

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

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

    mapping(bytes32 => RoleData) private _roles;

    bytes32 public constant DEFAULT_ADMIN_ROLE = 0x00;

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

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

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

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

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

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

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

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

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

        _revokeRole(role, account);
    }

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

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

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

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

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



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

pragma solidity ^0.8.0;

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

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

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

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

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

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

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

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

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



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

pragma solidity ^0.8.0;

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

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

    uint256 private _status;

    constructor() {
        _status = _NOT_ENTERED;
    }

    /**
     * @dev Prevents a contract from calling itself, directly or indirectly.
     * Calling a `nonReentrant` function from another `nonReentrant`
     * function is not supported. It is possible to prevent this from happening
     * by making the `nonReentrant` function external, and making it call a
     * `private` function that does the actual work.
     */
    modifier nonReentrant() {
        _nonReentrantBefore();
        _;
        _nonReentrantAfter();
    }

    function _nonReentrantBefore() private {
        // On the first call to nonReentrant, _status will be _NOT_ENTERED
        require(_status != _ENTERED, "ReentrancyGuard: reentrant call");

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

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

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



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

pragma solidity ^0.8.0;

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

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

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



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

pragma solidity ^0.8.0;

import "./IERC165.sol";

/**
 * @dev Implementation of the {IERC165} interface.
 *
 * Contracts that want to implement ERC165 should inherit from this contract and override {supportsInterface} to check
 * for the additional interface id that will be supported. For example:
 *
 * ```solidity
 * function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
 *     return interfaceId == type(MyInterface).interfaceId || super.supportsInterface(interfaceId);
 * }
 * ```
 *
 * Alternatively, {ERC165Storage} provides an easier to use but more expensive implementation.
 */
abstract contract ERC165 is IERC165 {
    /**
     * @dev See {IERC165-supportsInterface}.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
        return interfaceId == type(IERC165).interfaceId;
    }
}

// File: @openzeppelin/contracts/utils/introspection/IERC165.sol



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

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC165 standard, as defined in the
 * https://eips.ethereum.org/EIPS/eip-165[EIP].
 *
 * Implementers can declare support of contract interfaces, which can then be
 * queried by others ({ERC165Checker}).
 *
 * For an implementation, see {ERC165}.
 */
interface IERC165 {
    /**
     * @dev Returns true if this contract implements the interface defined by
     * `interfaceId`. See the corresponding
     * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[EIP section]
     * to learn more about how these ids are created.
     *
     * This function call must use less than 30 000 gas.
     */
    function supportsInterface(bytes4 interfaceId) external view returns (bool);
}

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



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

pragma solidity ^0.8.0;

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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



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

pragma solidity ^0.8.0;

import "./math/Math.sol";

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

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

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

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

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

// File: contracts/Interface/IMint.sol



// SPDX-License-Identifier:UNLICENSED
pragma solidity 0.8.17;

interface IMint {
    function mint(address to, uint256 amount) external returns (bool);

    function safeMint(
        address creator,
        string memory _tokenURI,
        bool region
    ) external returns (uint256);

    function ownerOf(uint256 tokenId) external returns (address);
}

// File: contracts/Interface/IVault.sol



// SPDX-License-Identifier:UNLICENSED
pragma solidity 0.8.17;

interface IVault {
    function transferFromVault(
        address to,
        uint256 amountInWei
    ) external returns (bool);
}

// File: contracts/Operator.sol



// SPDX-License-Identifier:UNLICENSED
pragma solidity 0.8.17;

import "@openzeppelin/contracts/access/AccessControl.sol";
import "@openzeppelin/contracts/security/ReentrancyGuard.sol";
import "./Interface/IMint.sol";
import "./Interface/IVault.sol";

contract Operator is AccessControl, ReentrancyGuard {
    enum WalletType {
        futureDistribution,
        projectFoundation
    }

    event OwnershipTransferred(
        address indexed previousOwner,
        address indexed newOwner
    );
    event SignerChanged(
        address indexed previousSigner,
        address indexed newSigner
    );
    event RewardPaymentRecTransferred(
        address indexed previousReciver,
        address indexed newReciver
    );
    event NonRewardPaymentRecTransferred(
        address indexed previousReciver,
        address indexed newReciver
    );
    event TokensClaimed(
        address indexed user, 
        uint256 amount
    );
    event TokensClaimedByOwners(
        uint256 futureDistributionAmt, 
        uint256 projectFoundationAmt
    );
    event ClaimDurationChanged(uint256 claimDuration);
    event MinimumUSD(uint256 minimumUSD);
    
    //contract owner
    address public owner;
    //signer
    address public signer;

    address public rewardPaymentRec =0x25B51E42c54592048c78a7e3383F06B99839Db7e;
    address public nonRewardPaymentRec =0xBE4478202984f2DD6ED235a944E12eA324D21E5A;

    uint256 public minimumUSD = 300;
    uint256 public immutable communityMintingPer;
    address[] public futureDistributionWallets;
    address[] public projectFoundationWallets;

    IVault public immutable vault;
    IMint public immutable RewardToken;
    IMint public immutable NFT;
    uint256 public claimDuration = 7 * 1 days;

    mapping(uint256 => bool) private usedNonce;
    mapping(uint256 => UserDetails) private users;

    struct UserDetails {
        uint256 amount;
        uint256 initialTime;
    }

    struct TokenDistribution {
        address[] distributionWallets;
        uint16[] distributionPercentage;
        uint256 overallPercentage;
        uint256 reservedAmt;
    }

    mapping(WalletType => TokenDistribution) private tokenDistribution;

    /* An ECDSA signature. */
    struct Sign {
        uint8 v;
        bytes32 r;
        bytes32 s;
        uint256 nonce;
    }

    constructor(
        IMint _RewardToken,
        IMint _NFT,
        IVault _vault,
        address _signer,
        uint256 _communityMintingPer,
        uint256 _futureDistributionPer,
        uint256 _projectFoundationPer,
        address[] memory _futureDistributionWallets,
        address[] memory _projectFoundationWallets,
        uint16[] memory _futureDistributionPercentage,
        uint16[] memory _projectFoundationPercentage
        
    ) {
        require(
            _futureDistributionWallets.length ==
                _futureDistributionPercentage.length,
            "FutureDistribution length mismatch"
        );
        require(
            _projectFoundationWallets.length ==
                _projectFoundationPercentage.length,
            "ProjectFoundation length mismatch"
        );
        RewardToken = _RewardToken;
        NFT = _NFT;
        vault = _vault;
        communityMintingPer = _communityMintingPer;
        tokenDistribution[WalletType(0)]
            .distributionWallets = _futureDistributionWallets;
        tokenDistribution[WalletType(1)]
            .distributionWallets = _projectFoundationWallets;
        tokenDistribution[WalletType(0)]
            .overallPercentage = _futureDistributionPer;
        tokenDistribution[WalletType(1)]
            .overallPercentage = _projectFoundationPer;
        tokenDistribution[WalletType(0)]
            .distributionPercentage = _futureDistributionPercentage;
        tokenDistribution[WalletType(1)]
            .distributionPercentage = _projectFoundationPercentage;
        _grantRole("ADMIN_ROLE", msg.sender);
        _grantRole("SIGNER_ROLE", _signer);
        owner = msg.sender;
        signer = _signer;
    }

    function setClaimPeriod(
        uint256 _claimDuration
    ) external onlyRole("ADMIN_ROLE") returns (bool) {
        claimDuration = _claimDuration;
        emit ClaimDurationChanged(_claimDuration);
        return true;
    }

    function setMinimumAmount(
        uint256 _minimumUSD
    ) external onlyRole("ADMIN_ROLE") returns (bool) {
        minimumUSD = _minimumUSD;
        emit MinimumUSD(minimumUSD);
        return true;
    }

    /**
        transfers the contract ownership to newowner address.    
        @param newOwner address of newOwner
     */

    function transferOwnership(
        address newOwner
    ) external onlyRole("ADMIN_ROLE") returns (bool) {
        require(
            newOwner != address(0),
            "Ownable: new owner is the zero address"
        );
        _revokeRole("ADMIN_ROLE", owner);
        emit OwnershipTransferred(owner, newOwner);
        owner = newOwner;
        _grantRole("ADMIN_ROLE", newOwner);
        return true;
    }

    /**
        change the signer of tthis contract   
        @param newSigner address of newSigner
     */

    function changeSigner(
        address newSigner
    ) external onlyRole("SIGNER_ROLE") returns (bool) {
        require(
            newSigner != address(0),
            "Ownable: new signer is the zero address"
        );
        _revokeRole("SIGNER_ROLE", signer);
        emit SignerChanged(signer, newSigner);
        signer = newSigner;
        _grantRole("SIGNER_ROLE", newSigner);
        return true;
    }

    function changeRewardPaymentRec(
        address _rewardPaymentRec
    ) external onlyRole("ADMIN_ROLE") {
        require(
            _rewardPaymentRec != address(0),
            "New rewardPaymentRec is the zero address"
        );
        emit RewardPaymentRecTransferred(rewardPaymentRec, _rewardPaymentRec);
        rewardPaymentRec = _rewardPaymentRec;
    }

    function changeNonRewardPaymentRec(
        address _nonRewardPaymentRec
    ) external onlyRole("ADMIN_ROLE") {
        require(
            _nonRewardPaymentRec != address(0),
            "New rewardPaymentRec is the zero address"
        );
        emit NonRewardPaymentRecTransferred(nonRewardPaymentRec, _nonRewardPaymentRec);
        nonRewardPaymentRec = _nonRewardPaymentRec;
    }

    function changeFundingwallets(
        WalletType _tupe,
        address[] calldata wallets
    ) external onlyRole("ADMIN_ROLE") returns (bool) {
        require(
            _tupe == WalletType.futureDistribution ||
                _tupe == WalletType.projectFoundation,
            "Inalid type"
        ); //!@
        require(
            tokenDistribution[WalletType(_tupe)].distributionWallets.length ==
                wallets.length,
            "Invalid Length"
        );
        tokenDistribution[WalletType(_tupe)].distributionWallets = wallets;
        return true;
    }

    function mintNft(
        string memory _tokenURI,
        uint256 ethPerUSDPrice,
        bool rewardFlag,
        Sign calldata sign
    ) external payable {
        require(msg.value >= minimumUSD * ethPerUSDPrice, "Invalid eth");
        require(!usedNonce[sign.nonce], "Nonce : Invalid Nonce");
        usedNonce[sign.nonce] = true;
        verifyOwnerSign(msg.sender, msg.value, ethPerUSDPrice, _tokenURI, rewardFlag, sign);
        bool success;
        if(rewardFlag){
            (success, ) = rewardPaymentRec.call{value: msg.value}("");
        }
        else{
            (success, ) = nonRewardPaymentRec.call{value: msg.value}("");
        }
        require(success, "Failed to send Ether");
        uint256 tokenID = NFT.safeMint(msg.sender, _tokenURI, rewardFlag);
        require(tokenID != 0, "ERC721: Minting failed");
        if (tokenID < 150001)
            distributeToken(tokenID);
    }

    function claimTokens(uint256 claimID) external nonReentrant {
        require(users[claimID].amount != 0, "Invalid ID ");
        require(msg.sender == NFT.ownerOf(claimID), "Invalid user");
        require(
            block.timestamp >=
                users[claimID].initialTime + claimDuration ,
            "Claim time not reached"
        );
        uint256 amount = users[claimID].amount;
        delete users[claimID];
        require(
            vault.transferFromVault(msg.sender, amount),
            "ERC20: Failure while Minting"
        );
        emit TokensClaimed(msg.sender, amount);
    }

    function claimTokensOwners() external onlyRole("ADMIN_ROLE") {
        require(
            tokenDistribution[WalletType(0)].reservedAmt != 0 &&
                tokenDistribution[WalletType(1)].reservedAmt != 0
        );

        uint256 length0 = tokenDistribution[WalletType(0)]
            .distributionWallets
            .length;
        uint256 length1 = tokenDistribution[WalletType(1)]
            .distributionWallets
            .length;

        for (uint8 i; i < length0; ) {
            uint256 amt = ((tokenDistribution[WalletType(0)].reservedAmt *
                tokenDistribution[WalletType(0)].distributionPercentage[i]) /
                10000);
            require(
                vault.transferFromVault(
                    tokenDistribution[WalletType(0)].distributionWallets[i],
                    amt
                ),
                "ERC20: Failure while transfering"
            );
            unchecked {
                i++;
            }
        }

        for (uint8 i; i < length1; ) {
            uint256 amt = ((tokenDistribution[WalletType(1)].reservedAmt *
                tokenDistribution[WalletType(1)].distributionPercentage[i]) /
                10000);
            require(
                vault.transferFromVault(
                    tokenDistribution[WalletType(1)].distributionWallets[i],
                    amt
                ),
                "ERC20: Failure while Minting"
            );
            unchecked {
                i++;
            }
        }
        tokenDistribution[WalletType(0)].reservedAmt = 0;
        tokenDistribution[WalletType(1)].reservedAmt = 0;
        emit TokensClaimedByOwners(tokenDistribution[WalletType(0)].reservedAmt, tokenDistribution[WalletType(1)].reservedAmt);
    }

    function walletData(
        WalletType _tupe
    ) public view returns (TokenDistribution memory) {
        return tokenDistribution[_tupe];
    }

    function userData(uint256 id) public view returns (UserDetails memory) {
        return users[id];
    }

    function calculateTier(
        uint256 tokenID
    ) public pure returns (uint256 amount) {
        if (tokenID >= 1 && tokenID <= 2500) {
            return 15000 * 1e18;
        } else if (tokenID >= 2501 && tokenID <= 7500) {
            return 14250 * 1e18;
        } else if (tokenID >= 7501 && tokenID <= 15000) {
            return 12825 * 1e18;
        } else if (tokenID >= 15001 && tokenID <= 22500) {
            return 10900 * 1e18;
        } else if (tokenID >= 22501 && tokenID <= 30000) {
            return 8720 * 1e18;
        } else if (tokenID >= 30001 && tokenID <= 40000) {
            return 6540 * 1e18;
        } else if (tokenID >= 40001 && tokenID <= 50000) {
            return 4578 * 1e18;
        } else if (tokenID >= 50001 && tokenID <= 75000) {
            return 2975 * 1e18;
        } else if (tokenID >= 75001 && tokenID <= 100000) {
            return 1785 * 1e18;
        } else if (tokenID >= 100001 && tokenID <= 150000) {
            return 980 * 1e18;
        }
    }

    function distributeToken(uint256 tokenID) internal {
        uint256 rewardAmount = calculateTier(tokenID);
        uint256 minterRewardAmt = (rewardAmount * communityMintingPer) / 100;
        tokenDistribution[WalletType(0)].reservedAmt =
            (rewardAmount *
                tokenDistribution[WalletType(0)].overallPercentage) /
            100;
        tokenDistribution[WalletType(1)].reservedAmt =
            (rewardAmount *
                tokenDistribution[WalletType(1)].overallPercentage) /
            100;
        users[tokenID] = UserDetails(minterRewardAmt, block.timestamp);
        require(
            RewardToken.mint(address(vault), rewardAmount),
            "failed to mint"
        );
    }

    /**
        returns the signer of given signature.
     */
    function getSigner(
        bytes32 hash,
        Sign memory sign // !@single function
    ) internal pure returns (address) {
        return
            ecrecover(
                keccak256(
                    abi.encodePacked("\x19Ethereum Signed Message:\n32", hash)
                ),
                sign.v,
                sign.r,
                sign.s
            );
    }

    function verifyOwnerSign(
        address to,
        uint256 amount,
        uint256 perUSDPrice,
        string memory tokenURI,
        bool rewardFlag,
        Sign memory sign
    ) internal view {
        bytes32 hash = keccak256(
            abi.encodePacked(to, amount, perUSDPrice, tokenURI, rewardFlag, sign.nonce)
        );
        require(signer == getSigner(hash, sign), "sign verification failed");
    }
}