from collections import deque class Modint: MOD = 17 def __init__(self, value: int) -> None: self.num = value % Modint.MOD def __str__(self) -> str: return str(self.num) __repr__ = __str__ def __add__(self, __x): if isinstance(__x, Modint): return Modint((self.num + __x.num)) return Modint(self.num + __x) def __sub__(self, __x): if isinstance(__x, Modint): return Modint(self.num - __x.num) return Modint(self.num - __x) def __mul__(self, __x): if isinstance(__x, Modint): return Modint(self.num * __x.num) return Modint(self.num * __x) __radd__ = __add__ __rmul__ = __mul__ def __rsub__(self, __x): if isinstance(__x, Modint): return Modint(__x.num - self.num) return Modint(__x - self.num) def __pow__(self, __x): if isinstance(__x, Modint): return Modint(pow(self.num, __x.num, Modint.MOD)) return Modint(pow(self.num, __x, Modint.MOD)) def __rpow__(self, __x): if isinstance(__x, Modint): return Modint(pow(__x.num, self.num, Modint.MOD)) return Modint(pow(__x, self.num, Modint.MOD)) class Tetranacci: def __init__(self): self._array = {1: Modint(0), 2: Modint(0), 3: Modint(0), 4: Modint(1)} self.max_idx = 4 def calc(self, idx: int) -> int: if idx <= self.max_idx: return self._array[idx] for _idx in range(self.max_idx+1, idx+1): self._array[_idx] = ( self._array[_idx-4] + self._array[_idx-3] + self._array[_idx-2] + self._array[_idx-1] ) self.max_idx = max(self.max_idx, idx) return self._array[idx] def loop(self) -> int: self.newest = deque(self._array.values(), maxlen=4) self.initial = deque(self._array.values(), maxlen=4) for _idx in range(self.max_idx+1, 999): self._array[_idx] = ( self._array[_idx-4] + self._array[_idx-3] + self._array[_idx-2] + self._array[_idx-1] ) self.newest.append(self._array[_idx]) if self.newest == self.initial: return _idx def main(): Q = int(input()) array = Tetranacci() array.loop() for _ in range(Q): print(array.calc(int(input()))) if __name__ == "__main__": main()