library SafeMath {

    /**
    * @dev Multiplies two numbers, throws on overflow.
    */
    function mul(uint256 a, uint256 b) internal pure returns (uint256 c) {
        
        if (a == 0) {
            return 0;
        }

        c = a * b;
        assert(c / a == b);
        return c;
    }

   
    function div(uint256 a, uint256 b) internal pure returns (uint256) {
        
        return a / b;
    }

    
    function sub(uint256 a, uint256 b) internal pure returns (uint256) {
        assert(b <= a);
        return a - b;
    }

    function add(uint256 a, uint256 b) internal pure returns (uint256 c) {
        c = a + b;
        assert(c >= a);
        return c;
    }
}
/**
 Note: The ERC-165 identifier for this interface is 0x0e89341c.
 */
function mul(uint256 a, uint256 b) internal pure returns (uint256 c) {
        
    if (a == 0) {
        return 0;
    }

    c = a * b;
    assert(c / a == b);
    return c;
}

/**
 * @dev Multiplies two numbers, throws on overflow.
 */