There are many lamps in a line. All of them are off at first. A series of operations are carried out on these lamps. On the i-th operation, the lamps whose numbers are the multiple of i change the condition ( on to off and off to on ).
Each test case contains only a number n ( 0< n<= 10^5) in a line.
Output the condition of the n-th lamp after infinity operations ( 0 - off, 1 - on ).