UVa 900 Brick Wall Patterns

#include <iostream>
using namespace std;

int main() {
    long long length, patterns, i, j, k;
    while(true) {
        cin >> length;
        if(length == 0) break;
        i = 0, j = 0, k = 1;
        while(i < length) {
            if(i != 0) k = patterns;
            patterns = j + k;
            j = k;
            i++;
        }
        cout << patterns << endl;
    }
    return 0;
}