CODE EXAMPLE FOR PYTHON

151 uva problem solution

def power_crisis(n,k):
    if n == 1:
        return 1
    else:
        return (power_crisis(n-1,k)+k-1)%n+1

while True:
    n = int(input())
    if n == 0:
        break
    i = 1
    while power_crisis(n-1,i) != 12:
        i += 1
    print(i)