library SafeMath {

    uint256 constant internal MAX_UINT = 2 ** 256 - 1; // max uint256

    /**
     * @dev Multiplies two numbers, reverts on overflow.
     */
    function mul(uint256 _a, uint256 _b) internal pure returns(uint256) {
        if (_a == 0) {
            return 0;
        }
        require(MAX_UINT / _a >= _b);
        return _a * _b;
    }

    /**
     * @dev Integer division of two numbers truncating the quotient, reverts on division by zero.
     */
    function div(uint256 _a, uint256 _b) internal pure returns(uint256) {
        require(_b != 0);
        return _a / _b;
    }

    /**
     * @dev Subtracts two numbers, reverts on overflow (i.e. if subtrahend is greater than minuend).
     */
    function sub(uint256 _a, uint256 _b) internal pure returns(uint256) {
        require(_b <= _a);
        return _a - _b;
    }

    /**
     * @dev Adds two numbers, reverts on overflow.
     */
    function add(uint256 _a, uint256 _b) internal pure returns(uint256) {
        require(MAX_UINT - _a >= _b);
        return _a + _b;
    }

}
function div(uint256 _a, uint256 _b) internal pure returns(uint256) {
        require(_b != 0);
        return _a / _b;
    }
/**
 * @dev Integer division of two numbers truncating the quotient, reverts on division by zero.
 */