import sys import math def factorize(m): factors = {} while m % 2 == 0: factors[2] = factors.get(2, 0) + 1 m //=2 i =3 max_i = int(math.sqrt(m)) +1 while i <= max_i and m !=1: while m %i ==0: factors[i] = factors.get(i, 0) +1 m //=i max_i = int(math.sqrt(m)) +1 i +=2 if m !=1: factors[m] =1 return factors def legendre(n, p): total =0 while n>0: n =n//p total +=n return total def is_prime(m): if m <2: return False if m ==2: return True if m %2 ==0: return False for i in range(3, int(math.sqrt(m)) +1, 2): if m%i ==0: return False return True def solve(): input = sys.stdin.read().split() idx=0 T = int(input[idx]) idx +=1 for _ in range(T): N = int(input[idx]) M = int(input[idx+1]) idx +=2 if M ==1: print(0) continue factors = factorize(M) can_divide =True for p, k in factors.items(): lp = legendre(N, p) if lp