Switch Game

Problem Description

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 ).

 

Input

Each test case contains only a number n ( 0< n<= 10^5) in a line.

 

Output

Output the condition of the n-th lamp after infinity operations ( 0 - off, 1 - on ).

 

Sample Input

1

5

 

Sample Output

1

0

 

Hint

hint

Consider the second test case:

The initial condition :           0 0 0 0 0 …

After the first operation     : 1 1 1 1 1 …

After the second operation : 1 0 1 0 1 …

After the third operation    : 1 0 0 0 1 …

After the fourth operation  : 1 0 0 1 1 …

After the fifth operation     : 1 0 0 1 0 …

The later operations cannot change the condition of the fifth lamp any more. So the answer is 0.

 

#include <stdio.h> 
 
int main(){
    int n;
    int flag[100001];
    int i;
    int j;
    
    while(scanf("%d",&n)!=EOF){
        for(i=0;i<n;i++)
            flag[i]=0;
            
        for(i=1;i<=n;i++){
            j=i;
            while(j<=n){
                if(flag[j-1]==0)
                    flag[j-1]=1;
                    
                else
                    flag[j-1]=0;
                    
                j+=i;
            }
        }
        
        printf("%d\n",flag[n-1]);
        
        
    }
        
    return 0;
}