import math Nmax = 10**12 def dictionary(): # powers[n] は「n乗」の結果の集合 powers = [set() for _ in range(40)] for n in range(3, 31): a = 2 while a ** n <= Nmax: powers[n].add(a ** n) a += 1 for n in range(31, 40): powers[n].add(2 ** n) # dict: {値: べき乗の指数} result = {} for n, aset in enumerate(powers): for key in aset: result[key] = n return result def is_square(N): root = int(math.isqrt(N)) return root * root == N def solve(N, dict_map): if N in dict_map: return dict_map[N] elif is_square(N): return 2 else: return 1 def main(): Q = int(input()) N_list = [int(input()) for _ in range(Q)] dict_map = dictionary() for n in N_list: print(solve(n, dict_map)) if __name__ == "__main__": main()