#include <stdio.h>
int count_cycle(int n);
int main() {
    int N; scanf("%d", &N);
    printf("%d",count_cycle(N));
    return 0;
}
int count_cycle(int n) {
    int N = n; int _N;
    int count = 0;
    int x, y;
    while(_N!=N) {
        x = N / 10;
        y = N % 10;
        _N = 10 * y + ((x+y)%10);
        count++;
    }    
    return count;
}
I've been just practicing the basic algorithm about the specific natural numbers that have cycle which is represented above. But this code's result is infinite loop. My intended pseudo-code is like this.
function count_cycle    
count = 0
    ==loop==
    N = 10x + y (0 <= x,y <= 9)
    N' = 10 * y + (x+y) mod 10 
    if N' == N then 
        break;
    else then 
        N = N' 
        count++ 
        continue;
    ====
return count
How should I make this code work properly?
 
     
     
    