NERD SNIPE PROBLEM by Dingledooper

def f(n):
 Q = [1]
 dst = [(99, 1)] * n
 dst[1] = (1, 1)
 for x in Q:
  for b in (0, 1):
   y = (x * 2 + b) % n
   nxt = (dst[x][0] + b, dst[x][1] * 2 + b)
   if nxt < dst[y]:
    Q.append(y)
    dst[y] = nxt
 return dst[0][1] // n

while 1:
 print(f(int(input())))

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