#pragma GCC optimize("Ofast")
#pragma GCC target("avx2")

int primes[]={1,1,1,2,2,4,2,4,2,4,6,2,6,4,2,4,6,6,2,6,4,2,6,4,6,8,4,2,4,2,4,14,4,6,2,10,2,6,6,4,6,6,2,10,2,4,2,12,12,4,2,4,6,2,10,6,6,6,2,6,4,2,10,14,4,2,4,14,6,10,2,4,6,8,6,6,4,6,8,4,8,10,2,10,2,6,4,6,8,4,2,4,12,8,4,8,4,6,12,2,18,6,10,6,6,2,6,10,6,6,2,6,6,4,2,12,10,2,4,6,6,2,12,4,6,8,10,8,10,8,6,6,4,8,6,4,8,4,14,10,12,2,10,2,4,2,10,14,4,2,4,14,4,2,4,20,4,8,10,8,4,6,6,14,4,6,6,8,6,12,4,6,2,10,2,6,10,2,10,2,6,18,4,2,4,6,6,8,6,6,22,2,10,8,10,6,6,8,12,4,6,6,2,6,12,10,18,2,4,6,2,6,4,2,4,12,2,6,34,6,6,8,18,10,14,4,2,4,6,8,4,2,6,12,10,2,4,2,4,6,12,12,8,12,6,4,6,8,4,8,4,14,4,6,2,4,6,2,6,10,20,6,4,2,24,4,2,10,12,2,10,8,6,6,6,18,6,4,2,12,10,12,8,16,14,6,4,2,4,2,10,12,6,6,18,2,16,2,22,6,8,6,4,2,4,8,6,10,2,10,14,10,6,12,2,4,2,10,12,2,16,2,6,4,2,10,8,18,24,4,6,8,16,2,4,8,16,2,4,8,6,6,4,12,2,22,6,2,6,4,6,14,6,4,2,6,4,6,12,6,6,14,4,6,12,8,6,4,26,18,10,8,4,6,2,6,22,12,2,16,8,4,12,14,10,2,4,8,6,6,4,2,4,6,8,4,2,6,10,2,10,8,4,14,10,12,2,6,4,2,16,14,4,6,8,6,4,18,8,10,6,6,8,10,12,14,4,6,6,2,28,2,10,8,4,14,4,8,12,6,12,4,6,20,10,2,16,26,4,2,12,6,4,12,6,8,4,8,22,2,4,2,12,28,2,6,6,6,4,6,2,12,4,12,2,10,2,16,2,16,6,20,16,8,4,2,4,2,22,8,12,6,10,2,4,6,2,6,10,2,12,10,2,10,14,6,4,6,8,6,6,16,12,2,4,14,6,4,8,10,8,6,6,22,6,2,10,14,4,6,18,2,10,14,4,2,10,14,4,8,18,4,6,2,4,6,2,12,4,20,22,12,2,4,6,6,2,6,22,2,6,16,6,12,2,6,12,16,2,4,6,14,4,2,18,24,10,6,2,10,2,10,2,10,6,2,10,2,10,6,8,30,10,2,10,8,6,10,18,6,12,12,2,18,6,4,6,6,18,2,10,14,6,4,2,4,24,2,12,6,16,8,6,6,18,16,2,4,6,2,6,6,10,6,12,12,18,2,6,4,18,8,24,4,2,4,6,2,12,4,14,30,10,6,12,14,6,10,12,2,4,6,8,6,10,2,4,14,6,6,4,6,2,10,2,16,12,8,18,4,6,12,2,6,6,6,28,6,14,4,8,10,8,12,18,4,2,4,24,12,6,2,16,6,6,14,10,14,4,30,6,6,6,8,6,4,2,12,6,4,2,6,22,6,2,4,18,2,4,12,2,6,4,26,6,6,4,8,10,32,16,2,6,4,2,4,2,10,14,6,4,8,10,6,20,4,2,6,30,4,8,10,6,6,8,6,12,4,6,2,6,4,6,2,10,2,16,6,20,4,12,14,28,6,20,4,18,8,6,4,6,14,6,6,10,2,10,12,8,10,2,10,8,12,10,24,2,4,8,6,4,8,18,10,6,6,2,6,10,12,2,10,6,6,6,8,6,10,6,2,6,6,6,10,8,24,6,22,2,18,4,8,10,30,8,18,4,2,10,6,2,6,4,18,8,12,18,16,6,2,12,6,10,2,10,2,6,10,14,4,24,2,16,2,10,2,10,20,4,2,4,8,16,6,6,2,12,16,8,4,6,30,2,10,2,6,4,6,6,8,6,4,12,6,8,12,4,14,12,10,24,6,12,6,2,22,8,18,10,6,14,4,2,6,10,8,6,4,6,30,14,10,2,12,10,2,16,2,18,24,18,6,16,18,6,2,18,4,6,2,10,8,10,6,6,8,4,6,2,10,2,12,4,6,6,2,12,4,14,18,4,6,20,4,8,6,4,8,4,14,6,4,14,12,4,2,30,4,24,6,6,12,12,14,6,4,2,4,18,6,12,8,6,4,12,2,12,30,16,2,6,22,14,6,10,12,6,2,4,8,10,6,6,24,14,6,4,8,12,18,10,2,10,2,4,6,20,6,4,14,4,2,4,14,6,12,24,10,6,8,10,2,30,4,6,2,12,4,14,6,34,12,8,6,10,2,4,20,10,8,16,2,10,14,4,2,12,6,16,6,8,4,8,4,6,8,6,6,12,6,4,6,6,8,18,4,20,4,12,2,10,6,2,10,12,2,4,20,6,30,6,4,8,10,12,6,2,28,2,6,4,2,16,12,2,6,10,8,24,12,6,18,6,4,14,6,4,12,8,6,12,4,6,12,6,12,2,16,20,4,2,10,18,8,4,14,4,2,6,22,6,14,6,6,10,6,2,10,2,4,2,22,2,4,6,6,12,6,14,10,12,6,8,4,36,14,12,6,4,6,2,12,6,12,16,2,10,8,22,2,12,6,4,6,18,2,12,6,4,12,8,6,12,4,6,12,6,2,12,12,4,14,6,16,6,2,10,8,18,6,34,2,28,2,22,6,2,10,12,2,6,4,8,22,6,2,10,8,4,6,8,4,12,18,12,20,4,6,6,8,4,2,16,12,2,10,8,10,2,4,6,14,12,22,8,28,2,4,20,4,2,4,14,10,12,2,12,16,2,28,8,22,8,4,6,6,14,4,8,12,6,6,4,20,4,18,2,12,6,4,6,14,18,10,8,10,32,6,10,6,6,2,6,16,6,2,12,6,28,2,10,8,16,6,8,6,10,24,20,10,2,10,2,12,4,6,20,4,2,12,18,10,2,10,2,4,20,16,26,4,8,6,4,12,6,8,12,12,6,4,8,22,2,16,14,10,6,12,12,14,6,4,20,4,12,6,2,6,6,16,8,22,2,28,8,6,4,20,4,12,24,20,4,8,10,2,16,2,12,12,34,2,4,6,12,6,6,8,6,4,2,6,24,4,20,10,6,6,14,4,6,6,2,12,6,10,2,10,6,20,4,26,4,2,6,22,2,24,4,6,2,4,6,24,6,8,4,2,34,6,8,16,12,2,10,2,10,6,8,4,8,12,22,6,14,4,26,4,2,12,10,8,4,8,12,4,14,6,16,6,8,4,6,6,8,6,10,12,2,6,6,16,8,6,6,12,10,2,6,18,4,6,6,6,12,18,8,6,10,8,18,4,14,6,18,10,8,10,12,2,6,12,12,36,4,6,8,4,6,2,4,18,12,6,8,6,6,4,18,2,4,2,24,4,6,6,14,30,6,4,6,12,6,20,4,8,4,8,6,6,4,30,2,10,12,8,10,8,24,6,12,4,14,4,6,2,28,14,16,2,12,6,4,20,10,6,6,6,8,10,12,14,10,14,16,14,10,14,6,16,6,8,6,16,20,10,2,6,4,2,4,12,2,10,2,6,22,6,2,4,18,8,10,8,22,2,10,18,14,4,2,4,18,2,4,6,8,10,2,30,4,30,2,10,2,18,4,18,6,14,10,2,4,20,36,6,4,6,14,4,20,10,14,22,6,2,30,12,10,18,2,4,14,6,22,18,2,12,6,4,8,4,8,6,10,2,12,18,10,14,16,14,4,6,6,2,6,4,2,28,2,28,6,2,4,6,14,4,12,14,16,14,4,6,8,6,4,6,6,6,8,4,8,4,14,16,8,6,4,12,8,16,2,10,8,4,6,26,6,10,8,4,6,12,14,30,4,14,22,8,12,4,6,8,10,6,14,10,6,2,10,12,12,14,6,6,18,10,6,8,18,4,6,2,6,10,2,10,8,6,6,10,2,18,10,2,12,4,6,8,10,12,14,12,4,8,10,6,6,20,4,14,16,14,10,8,10,12,2,18,6,12,10,12,2,4,2,12,6,4,8,4,44,4,2,4,2,10,12,6,6,14,4,6,6,6,8,6,36,18,4,6,2,12,6,6,6,4,14,22,12,2,18,10,6,26,24,4,2,4,2,4,14,4,6,6,8,16,12,2,42,4,2,4,24,6,6,2,18,4,14,6,28,18,14,6,10,12,2,6,12,30,6,4,6,6,14,4,2,24,4,6,6,26,10,18,6,8,6,6,30,4,12,12,2,16,2,6,4,12,18,2,6,4,26,12,6,12,4,24,24,12,6,2,12,28,8,4,6,12,2,18,6,4,6,6,20,16,2,6,6,18,10,6,2,4,8,6,6,24,16,6,8,10,6,14,22,8,16,6,2,12,4,2,22,8,18,34,2,6,18,4,6,6,8,10,8,18,6,4,2,4,8,16,2,12,12,6,18,4,6,6,6,2,6,12,10,20,12,18,4,6,2,16,2,10,14,4,30,2,10,12,2,24,6,16,8,10,2,12,22,6,2,16,20,10,2,12,12,18,10,12,6,2,10,2,6,10,18,2,12,6,4,6,2,24,28,2,4,2,10,2,16,12,8,22,2,6,4,2,10,6,20,12,10,8,12,6,6,6,4,18,2,4,12,18,2,12,6,4,2,16,12,12,14,4,8,18,4,12,14,6,6,4,8,6,4,20,12,10,14,4,2,16,2,12,30,4,6,24,20,24,10,8,12,10,12,6,12,12,6,8,16,14,6,4,6,36,20,10,30,12,2,4,2,28,12,14,6,22,8,4,18,6,14,18,4,6,2,6,34,18,2,16,6,18,2,24,4,2,6,12,6,12,10,8,6,16,12,8,10,14,40,6,2,6,4,12,14,4,2,4,2,4,8,6,10,6,6,2,6,6,6,12,6,24,10,2,10,6,12,6,6,14,6,6,52,20,6,10,2,10,8,10,12,12,2,6,4,14,16,8,12,6,22,2,10,8,6,22,2,22,6,8,10,12,12,2,10,6,12,2,4,14,10,2,6,18,4,12,8,18,12,6,6,4,6,6,14,4,2,12,12,4,6,18,18,12,2,16,12,8,18,10,26,4,6,8,6,6,4,2,10,20,4,6,8,4,20,10,2,34,2,4,24,2,12,12,10,6,2,12,30,6,12,16,12,2,22,18,12,14,10,2,12,12,4,2,4,6,12,2,16,18,2,40,8,16,6,8,10,2,4,18,8,10,8,12,4,18,2,18,10,2,4,2,4,8,28,2,6,22,12,6,14,18,4,6,8,6,6,10,8,4,2,18,10,6,20,22,8,6,30,4,2,4,18,6,30,2,4,8,6,4,6,12,14,34,14,6,4,2,6,4,14,4,2,6,28,2,4,6,8,10,2,10,2,10,2,4,30,2,12,12,10,18,12,14,10,2,12,6,10,6,14,12,4,14,4,18,2,10,8,4,8,10,12,18,18,8,6,18,16,14,6,6,10,14,4,6,2,12,12,4,6,6,12,2,16,2,12,6,4,14,6,4,2,12,18,4,36,18,12,12,2,4,2,4,8,12,4,36,6,18,2,12,10,6,12,24,8,6,6,16,12,2,18,10,20,10,2,6,18,4,2,40,6,2,16,2,4,8,18,10,12,6,2,10,8,4,6,12,2,10,18,8,6,4,20,4,6,36,6,2,10,6,24,6,14,16,6,18,2,10,20,10,8,6,4,6,2,10,2,12,4,2,4,8,10,6,12,18,14,12,16,8,6,16,8,4,2,6,18,24,18,10,12,2,4,14,10,6,6,6,18,12,2,28,18,14,16,12,14,24,12,22,6,2,10,8,4,2,4,14,12,6,4,6,14,4,2,4,30,6,2,6,10,2,30,22,2,4,6,8,6,6,16,12,12,6,8,4,2,24,12,4,6,8,6,6,10,2,6,12,28,14,6,4,12,8,6,12,4,6,14,6,12,10,6,6,8,6,6,4,2,4,8,12,4,14,18,10,2,16,6,20,6,10,8,4,30,36,12,8,22,12,2,6,12,16,6,6,2,18,4,26,4,8,18,10,8,10,6,14,4,20,22,18,12,8,28,12,6,6,8,6,12,24,16,14,4,14,12,6,10,12,20,6,4,8,18,12,18,10,2,4,20,10,14,4,6,2,10,24,18,2,4,20,16,14,10,14,6,4,6,20,6,10,6,2,12,6,30,10,8,6,4,6,8,40,2,4,2,12,18,4,6,8,10,6,18,18,2,12,16,8,6,4,6,6,2,52,14,4,20,16,2,4,6,12,2,6,12,12,6,4,14,10,6,6,14,10,14,16,8,6,12,4,8,22,6,2,18,22,6,2,18,6,16,14,10,6,12,2,6,4,8,18,12,16,2,4,14,4,8,12,12,30,16,8,4,2,6,22,12,8,10,6,6,6,14,6,18,10,12,2,10,2,4,26,4,12,8,4,18,8,10,14,16,6,6,8,10,6,8,6,12,10,20,10,8,4,12,26,18,4,12,18,6,30,6,8,6,22,12,2,4,6,6,2,10,2,4,6,6,2,6,22,18,6,18,12,8,12,6,10,12,2,16,2,10,2,10,18,6,20,4,2,6,22,6,6,18,6,14,12,16,2,6,6,4,14,12,4,2,18,16,36,12,6,14,28,2,12,6,12,6,4,2,16,30,8,24,6,30,10,2,18,4,6,12,8,22,2,6,22,18,2,10,2,10,30,2,28,6,14,16,6,20,16,2,6,4,32,4,2,4,6,2,12,4,6,6,12,2,6,4,6,8,6,4,20,4,32,10,8,16,2,22,2,4,6,8,6,16,14,4,18,8,4,20,6,12,12,6,10,2,10,2,12,28,12,18,2,18,10,8,10,48,2,4,6,8,10,2,10,30,2,36,6,10,6,2,18,4,6,8,16,14,16,6,14,4,20,4,6,2,10,12,2,6,12,6,6,4,12,2,6,4,12,6,8,4,2,6,18,10,6,8,12,6,22,2,6,12,18,4,14,6,4,20,6,16,8,4,8,22,8,12,6,6,16,12,18,30,8,4,2,4,6,26,4,14,24,22,6,2,6,10,6,14,6,6,12,10,6,2,12,10,12,8,18,18,10,6,8,16,6,6,8,16,20,4,2,10,2,10,12,6,8,6,10,20,10,18,26,4,6,30,2,4,8,6,12,12,18,4,8,22,6,2,12,34,6,18,12,6,2,28,14,16,14,4,14,12,4,6,6,2,36,4,6,20,12,24,6,22,2,16,18,12,12,18,2,6,6,6,4,6,14,4,2,22,8,12,6,10,6,8,12,18,12,6,10,2,22,14,6,6,4,18,6,20,22,2,12,24,4,18,18,2,22,2,4,12,8,12,10,14,4,2,18,16,38,6,6,6,12,10,6,12,8,6,4,6,14,30,6,10,8,22,6,8,12,10,2,10,2,6,10,2,10,12,18,20,6,4,8,22,6,6,30,6,14,6,12,12,6,10,2,10,30,2,16,8,4,2,6,18,4,2,6,4,26,4,8,6,10,2,4,6,8,4,6,30,12,2,6,6,4,20,22,8,4,2,4,72,8,4,8,22,2,4,14,10,2,4,20,6,10,18,6,20,16,6,8,6,4,20,12,22,2,4,2,12,10,18,2,22,6,18,30,2,10,14,10,8,16,50,6,10,8,10,12,6,18,2,22,6,2,4,6,8,6,6,10,18,2,22,2,16,14,10,6,2,12,10,20,4,14,6,4,36,2,4,6,12,2,4,14,12,6,4,6,2,6,4,20,10,2,10,6,12,2,24,12,12,6,6,4,24,2,4,24,2,6,4,6,8,16,6,2,10,12,14,6,34,6,14,6,4,2,30,22,8,4,6,8,4,2,28,2,6,4,26,18,22,2,6,16,6,2,16,12,2,12,4,6,6,14,10,6,8,12,4,18,2,10,8,16,6,6,30,2,10,18,2,10,8,4,8,12,24,40,2,12,10,6,12,2,12,4,2,4,6,18,14,12,6,4,14,30,4,8,10,8,6,10,18,8,4,14,16,6,8,4,6,2,10,2,12,4,2,4,6,8,4,6,32,24,10,8,18,10,2,6,10,2,4,18,6,12,2,16,2,22,6,6,8,18,4,18,12,8,6,4,20,6,30,22,12,2,6,18,4,62,4,2,12,6,10,2,12,12,28,2,4,14,22,6,2,6,6,10,14,4,2,10,6,8,10,14,10,6,2,12,22,18,8,10,18,12,2,12,4,12,2,10,2,6,18,6,6,34,6,2,12,4,6,18,18,2,16,6,6,8,6,10,18,8,10,8,10,2,4,18,26,12,22,2,4,2,22,6,6,14,16,6,20,10,12,2,18,42,4,24,2,6,10,12,2,6,10,8,4,6,12,12,8,4,6,12,30,20,6,24,6,10,12,2,10,20,6,6,4,12,14,10,18,12,8,6,12,4,14,10,2,12,30,16,2,12,6,4,2,4,6,26,4,18,2,4,6,14,54,6,52,2,16,6,6,12,26,4,2,6,22,6,2,12,12,6,10,18,2,12,12,10,18,12,6,8,6,10,6,8,4,2,4,20,24,6,6,10,14,10,2,22,6,14,10,26,4,18,8,12,12,10,12,6,8,16,6,8,6,6,22,2,10,20,10,6,44,18,6,10,2,4,6,14,4,26,4,2,12,10,8,4,8,12,4,12,8,22,8,6,10,18,6,6,8,6,12,4,8,18,10,12,6,12,2,6,4,2,16,12,12,14,10,14,6,10,12,2,12,6,4,6,2,12,4,26,6,18,6,10,6,2,18,10,8,4,26,10,20,6,16,20,12,10,8,10,2,16,6,20,10,20,4,30,2,4,8,16,2,18,4,2,6,10,18,12,14,18,6,16,20,6,4,8,6,4,6,12,8,10,2,12,6,4,2,6,10,2,16,12,14,10,6,8,6,28,2,6,18,30,34,2,16,12,2,18,16,6,8,10,8,10,8,10,44,6,6,4,20,4,2,4,14,28,8,6,16,14,30,6,30,4,14,10,6,6,8,4,18,12,6,2,22,12,8,6,12,4,14,4,6,2,4,18,20,6,16,38,16,2,4,6,2,40,42,14,4,6,2,24,10,6,2,18,10,12,2,16,2,6,16,6,8,4,2,10,6,8,10,2,18,16,8,12,18,12,6,12,10,6,6,18,12,14,4,2,10,20,6,12,6,16,26,4,18,2,4,32,10,8,6,4,6,6,14,6,18,4,2,18,10,8,10,8,10,2,4,6,2,10,42,8,12,4,6,18,2,16,8,4,2,10,14,12,10,20,4,8,10,38,4,6,2,10,20,10,12,6,12,26,12,4,8,28,8,4,8,24,6,10,8,6,16,12,8,10,12,8,22,6,2,10,2,6,10,6,6,8,6,4,14,28,8,16,18,8,4,6,20,4,18,6,2,24,24,6,6,12,12,4,2,22,2,10,6,8,12,4,20,18,6,4,12,24,6,6,54,8,6,4,26,36,4,2,4,26,12,12,4,6,6,8,12,10,2,12,16,18,6,8,6,12,18,10,2,54,4,2,10,30,12,8,4,8,16,14,12,6,4,6,12,6,2,4,14,12,4,14,6,24,6,6,10,12,12,20,18,6,6,16,8,4,6,20,4,32,4,14,10,2,6,12,16,2,4,6,12,2,10,8,6,4,2,10,14,6,6,12,18,34,8,10,6,24,6,2,10,12,2,30,10,14,12,12,16,6,6,2,18,4,6,30,14,4,6,6,2,6,4,6,14,6,4,8,10,12,6,32,10,8,22,2,10,6,24,8,4,30,6,2,12,16,8,6,4,6,8,16,14,6,6,4,2,10,12,2,16,14,4,2,4,20,18,10,2,10,6,12,30,8,18,12,10,2,6,6,4,12,12,2,4,12,18,24,2,10,6,8,16,8,6,12,10,14,6,12,6,6,4,2,24,4,6,8,6,4,2,4,6,14,4,8,10,24,24,12,2,6,12,22,30,2,6,18,10,6,6,8,4,2,6,10,8,10,6,8,16,6,14,6,4,24,8,10,2,12,6,4,36,2,22,6,8,6,10,8,6,12,10,14,10,6,18,12,2,12,4,26,10,14,16,18,8,18,12,12,6,16,14,24,10,12,8,22,6,2,10,60,6,2,4,8,16,14,10,6,24,6,12,18,24,2,30,4,2,12,6,10,2,4,14,6,16,2,10,8,22,20,6,4,32,6,18,4,2,4,2,4,8,52,14,22,2,22,20,10,8,10,2,6,4,14,4,6,20,4,6,2,12,12,6,12,16,2,12,10,8,4,6,2,28,12,8,10,12,2,4,14,28,8,6,4,2,4,6,2,12,58,6,14,10,2,6,28,32,4,30,8,6,4,6,12,12,2,4,6,6,14,16,8,30,4,2,10,8,6,4,6,26,4,12,2,10,18,12,12,18,2,4,12,8,12,10,20,4,8,16,12,8,6,16,8,10,12,14,6,4,8,12,4,20,6,40,8,16,6,36,2,6,4,6,2,22,18,2,10,6,36,14,12,4,18,8,4,14,10,2,10,8,4,2,18,16,12,14,10,14,6,6,42,10,6,6,20,10,8,12,4,12,18,2,10,14,18,10,18,8,6,4,14,6,10,30,14,6,6,4,12,38,4,2,4,6,8,12,10,6,18,6,50,6,4,6,12,8,10,32,6,22,2,10,12,18,2,6,4,30,8,6,6,18,10,2,4,12,20,10,8,24,10,2,6,22,6,2,18,10,12,2,30,18,12,28,2,6,4,6,14,6,12,10,8,4,12,26,10,8,6,16,2,10,18,14,6,4,6,14,16,2,6,4,12,20,4,20,4,6,12,2,36,4,6,2,10,2,22,8,6,10,12,12,18,14,24,36,4,20,24,10,6,2,28,6,18,8,4,6,8,6,4,2,12,28,18,14,16,14,18,10,8,6,4,6,6,8,22,12,2,10,18,6,2,18,10,2,12,10,18,32,6,4,6,6,8,6,6,10,20,6,12,10,8,10,14,6,10,14,4,2,22,18,2,10,2,4,20,4,2,34,2,12,6,10,2,10,18,6,14,12,12,22,8,6,16,6,8,4,12,6,8,4,36,6,6,20,24,6,12,18,10,2,10,26,6,16,8,6,4,24,18,8,12,12,10,18,12,2,24,4,12,18,12,14,10,2,4,24,12,14,10,6,2,6,4,6,26,4,6,6,2,22,8,18,4,18,8,4,24,2,12,12,4,2,52,2,18,6,4,6,12,2,6,12,10,8,4,2,24,10,2,10,2,12,6,18,40,6,20,16,2,12,6,10,12,2,4,6,14,12,12,22,6,8,4,2,16,18,12,2,6,16,6,2,6,4,12,30,8,16,2,18,10,24,2,6,24,4,2,22,2,16,2,6,12,4,18,8,4,14,4,18,24,6,2,6,10,2,10,38,6,10,14,6,6,24,4,2,12,16,14,16,12,2,6,10,26,4,2,12,6,4,12,8,12,10,18,6,14,28,2,6,10,2,4,14,34,2,6,22,2,10,14,4,2,16,8,10,6,8,10,8,4,6,2,16,6,6,18,30,14,6,4,30,2,10,14,4,20,10,8,4,8,18,4,14,6,4,24,6,6,18,18,2,36,6,10,14,12,4,6,2,30,6,4,2,6,28,20,4,20,12,24,16,18,12,14,6,4,12,32,12,6,10,8,10,6,18,2,16,14,6,22,6,12,2,18,4,8,30,12,4,12,2,10,38,22,2,4,14,6,12,24,4,2,4,14,12,10,2,16,6,20,4,20,22,12,2,4,2,12,22,24,6,6,2,6,4,6,2,10,12,12,6,2,6,16,8,6,4,18,12,12,14,4,12,6,8,6,18,6,10,12,14,6,4,8,22,6,2,28,18,2,18,10,6,14,10,2,10,14,6,10,2,22,6,8,6,16,12,8,22,2,4,14,18,12,6,24,6,10,2,12,22,18,6,20,6,10,14,4,2,6,12,22,14,12,4,6,8,22,2,10,12,8,40,2,6,10,8,4,42,20,4,32,12,10,6,12,12,2,10,8,6,4,8,4,26,18,4,8,28,6,18,6,12,2,10,6,6,14,10,12,14,24,6,4,20,22,2,18,4,6,12,2,16,18,14,6,6,4,6,8,18,4,14,30,4,18,8,10,2,4,8,12,4,12,18,2,12,10,2,16,8,4,30,2,6,28,2,10,2,18,10,14,4,26,6,18,4,20,6,4,8,18,4,12,26,24,4,20,22,2,18,22,2,4,12,2,6,6,6,4,6,14,4,24,12,6,18,2,12,28,14,4,6,8,22,6,12,18,8,4,20,6,4,6,2,18,6,4,12,12,8,28,6,8,10,2,24,12,10,24,8,10,20,12,6,12,12,4,14,12,24,34,18,8,10,6,18,8,4,8,16,14,6,4,6,24,2,6,4,6,2,16,6,6,20,24,4,2,4,14,4,18,2,6,12,4,14,4,2,18,16,6,6,2,16,20,6,6,30,4,8,6,24,16,6,6,8,12,30,4,18,18,8,4,26,10,2,22,8,10,14,6,4,18,8,12,28,2,6,4,12,6,24,6,8,10,20,16,8,30,6,6,4,2,10,14,6,10,32,22,18,2,4,2,4,8,22,8,18,12,28,2,16,12,18,14,10,18,12,6,32,10,14,6,10,2,10,2,6,22,2,4,6,8,10,6,14,6,4,12,30,24,6,6,8,6,4,2,4,6,8,6,6,22,18,8,4,2,18,6,4,2,16,18,20,10,6,6,30,2,12,28,6,6,6,2,12,10,8,18,18,4,8,18,10,2,28,2,10,14,4,2,30,12,22,26,10,8,6,10,8,16,14,6,6,10,14,6,4,2,10,12,2,6,10,8,4,2,10,26,22,6,2,12,18,4,26,4,8,10,6,14,10,2,18,6,10,20,6,6,4,24,2,4,8,6,16,14,16,18,2,4,12,2,10,2,6,12,10,6,6,20,6,4,6,38,4,6,12,14,4,12,8,10,12,12,8,4,6,14,10,6,12,2,10,18,2,18,10,8,10,2,12,4,14,28,2,16,2,18,6,10,6,8,16,14,30,10,20,6,10,24,2,28,2,12,16,6,8,36,4,8,4,14,12,10,8,12,4,6,8,4,6,14,22,8,6,4,2,10,6,20,10,8,6,6,22,18,2,16,6,20,4,26,4,14,22,14,4,12,6,8,4,6,6,26,10,2,18,18,4,2,16,2,18,4,6,8,4,6,12,2,6,6,28,38,4,8,16,26,4,2,10,12,2,10,8,6,10,12,2,10,2,24,4,30,26,6,6,18,6,6,22,2,10,18,26,4,18,8,6,6,12,16,6,8,16,6,8,16,2,42,58,8,4,6,2,4,8,16,6,20,4,12,12,6,12,2,10,2,6,22,2,10,6,8,6,10,14,6,6,4,18,8,10,8,16,14,10,2,10,2,12,6,4,20,10,8,52,8,10,6,2,10,8,10,6,6,8,10,2,22,2,4,6,14,4,2,24,12,4,26,18,4,6,14,30,6,4,6,2,22,8,4,6,2,22,6,8,16,6,14,4,6,18,8,12,6,12,24,30,16,8,34,8,22,6,14,10,18,14,4,12,8,4,36,6,6,2,10,2,4,20,6,6,10,12,6,2,40,8,6,28,6,2,12,18,4,24,14,6,6,10,20,10,14,16,14,16,6,8,36,4,12,12,6,12,50,12,6,4,6,6,8,6,10,2,10,2,18,10,14,16,8,6,4,20,4,2,10,6,14,18,10,38,10,18,2,10,2,12,4,2,4,14,6,10,8,40,6,20,4,12,8,6,34,8,22,8,12,10,2,16,42,12,8,22,8,22,8,6,34,2,6,4,14,6,16,2,22,6,8,24,22,6,2,12,4,6,14,4,8,24,4,6,6,2,22,20,6,4,14,4,6,6,8,6,10,6,8,6,16,14,6,6,22,6,24,32,6,18,6,18,10,8,30,18,6,16,12,6,12,2,6,4,12,8,6,22,8,6,4,14,10,18,20,10,2,6,4,2,28,18,2,10,6,6,6,14,40,24,2,4,8,12,4,20,4,32,18,16,6,36,8,6,4,6,14,4,6,26,6,10,14,18,10,6,6,14,10,6,6,14,6,24,4,14,22,8,12,10,8,12,18,10,18,8,24,10,8,4,24,6,18,6,2,10,30,2,10,2,4,2,40,2,28,8,6,6,18,6,10,14,4,18,30,18,2,12,30,6,30,4,18,12,2,4,14,6,10,6,8,6,10,12,2,6,12,10,2,18,4,20,4,6,14,6,6,22,6,6,8,18,18,10,2,10,2,6,4,6,12,18,2,10,8,4,18,2,6,6,6,10,8,10,6,18,12,8,12,6,4,6,14,16,2,12,4,6,38,6,6,16,20,28,20,10,6,6,14,4,26,4,14,10,18,14,28,2,4,14,16,2,28,6,8,6,34,8,4,18,2,16,8,6,40,8,18,4,30,6,12,2,30,6,10,14,40,14,10,2,12,10,8,4,8,6,6,28,2,4,12,14,16,8,30,16,18,2,10,18,6,32,4,18,6,2,12,10,18,2,6,10,14,18,28,6,8,16,2,4,20,10,8,18,10,2,10,8,4,6,12,6,20,4,2,6,4,20,10,26,18,10,2,18,6,16,14,4,26,4,14,10,12,14,6,6,4,14,10,2,30,18,22,2,16,2,4,8,6,6,16,2,6,12,10,8,12,4,14,4,6,20,10,12,2,6,6,4,2,10,2,30,16,12,20,18,4,6,2,4,8,16,14,18,22,6,2,22,6,6,18,2,10,36,8,4,6,20,4,12,6,14,4,2,28,24,8,4,6,12,30,18,32,22,8,36,6,4,12,2,12,4,6,20,10,18,18,8,6,4,24,8,10,14,6,4,8,12,16,2,16,6,8,16,12,14,10,30,14,4,12,8,12,6,10,2,12,28,6,12,12,20,10,2,10,14,6,6,30,4,8,12,4,2,10,14,4,26,18,12,10,6,8,4,12,6,24,18,8,10,2,12,4,12,12,6,2,22,2,4,2,12,16,14,10,2,16,18,32,4,6,20,22,8,10,2,10,6,2,4,14,6,24,4,8,4,6,12,12,8,6,10,12,8,10,2,10,12,6,12,12,20,28,20,10,14,10,8,10,6,2,4,14,6,6,12,6,12,10,14,10,14,16,8,10,26,4,2,6,4,14,4,6,12,8,6,30,18,12,6,12,16,12,12,2,28,6,14,10,36,2,4,6,8,12,22,18,2,30,18,22,20,18,10,38,6,4,2,24,4,6,6,2,10,6,14,10,8,4,24,14,16,14,22,6,20,10,14,4,12,12,2,16,8,6,6,18,4,6,14,22,6,2,42,16,2,10,6,2,4,6,8,10,20,16,30,8,10,8,10,2,30,6,6,36,10,8,16,6,2,12,28,2,4,6,18,12,6,8,10,2,4,50,4,20,4,30,8,4,6,12,2,24,4,8,18,6,4,6,8,10,2,4,2,40,18,36,30,30,8,16,14,6,12,28,2,22,2,4,12,30,12,6,2,4,14,10,2,18,22,12,18,2,10,18,32,6,4,2,6,10,20,12,10,6,12,20,12,6,4,2,16,2,16,6,14,4,2,16,2,6,16,6,8,4,8,22,18,8,12,4,8,6,24,22,6,2,12,30,6,10,12,6,2,22,6,2,12,6,22,8,12,22,2,10,6,18,12,2,6,12,18,6,4,20,22,8,12,24,16,14,10,30,18,2,6,4,14,10,2,12,10,12,6,2,16,12,2,6,12,10,2,10,6,2,12,12,16,20,10,12,8,30,10,14,4,6,8,6,4,20,18,24,4,12,8,4,2,24,6,24,10,2,4,6,2,6,6,6,4,24,2,10,12,2,6,10,8,6,10,18,2,6,4,20,24,10,12,2,12,6,24,4,36,14,16,8,22,6,8,4,2,6,22,20,16,12,18,2,12,16,6,6,12,6,12,2,6,12,10,8,16,8,6,16,8,12,4,6,6,20,12,12,4,6,20,4,12,2,10,2,6,30,22,6,2,4,38,10,2,4,2,22,2,16,2,6,10,20,6,24,4,12,14,12,4,38,10,30,6,2,12,12,4,6,30,14,4,8,18,36,4,6,20,4,2,12,10,2,6,10,12,6,12,8,6,6,24,4,30,20,6,36,10,2,12,6,4,8,6,4,12,8,6,12,4,6,14,4,20,12,4,6,18,2,4,18,2,16,12,30,6,6,8,40,8,48,6,16,18,14,12,6,18,4,20,10,2,6,10,8,30,4,12,20,6,12,6,6,34,6,6,18,6,8,10,12,6,8,10,2,4,24,6,8,22,6,2,12,6,10,12,6,24,6,14,12,36,4,24,2,10,8,10,6,14,10,32,4,8,10,12,26,18,4,6,20,4,20,6,16,6,2,30,12,6,10,2,6,10,12,8,4,2,6,10,12,26,22,8,6,4,14,6,6,30,4,6,14,4,2,28,2,6,22,8,4,18,18,18,2,12,6,4,20,10,6,6,14,10,12,2,12,30,34,12,8,6,4,2,10,2,16,12,2,10,8,18,24,6,4,12,14,4,8,4,14,4,6,6,20,6,4,8,18,52,2,4,12,8,4,38,4,26,24,16,12,6,2,12,12,16,2,6,6,4,12,14,16,8,12,18,16,6,8,10,6,14,10,12,2,10,2,4,24,6,42,24,8,10,6,6,6,2,12,4,14,6,6,28,6,2,10,12,12,6,20,4,6,14,4,2,12,10,12,24,6,8,6,6,4,24,12,20,16,14,30,18,6,4,26,12,4,6,2,6,4,2,28,8,40,2,10,8,4,20,6,18,10,2,4,44,6,18,12,6,4,6,2,22,6,14,30,10,24,2,10,8,16,18,2,18,22,8,10,6,6,14,4,8,18,4,2,18,18,18,6,4,24,18,2,16,6,6,18,20,16,20,4,14,6,4,20,18,10,2,6,10,24,2,10,24,6,6,24,6,12,2,28,12,14,6,6,12,6,22,12,12,8,36,4,12,14,4,20,10,12,24,2,4,6,12,2,4,2,10,12,26,6,16,8,4,8,10,8,6,34,2,12,16,24,6,2,10,2,18,4,8,6,16,6,2,6,6,6,4,14,4,20,6,4,20,6,12,22,6,2,10,12,2,6,4,8,12,4,14,12,10,14,4,12,26,10,14,4,26,6,30,4,18,18,8,6,16,8,10,14,10,8,10,20,22,20,16,2,18,6,4,6,6,12,2,10,26,4,8,18,18,6,18,6,4,6,24,6,20,34,26,10,2,28,12,8,10,12,2,6,22,2,12,16,2,6,6,10,14,16,20,6,4,38,6,10,6,8,16,42,2,6,4,6,6,6,14,16,14,4,20,10,2,4,8,18,10,12,36,2,10,42,8,4,20,24,16,8,22,6,8,4,2,6,22,6,6,8,28,2,10,18,14,6,4,18,8,10,14,4,12,8,10,12,14,4,2,12,12,4,6,18,30,12,38,6,12,10,2,18,10,12,8,4,8,6,4,2,24,12,18,4,2,4,2,58,12,8,24,10,2,4,6,6,12,2,4,14,6,6,16,12,2,4,32,4,24,6,6,8,10,2,22,18,12,20,6,30,4,30,6,2,4,14,6,4,14,16,2,12,10,2,6,12,12,10,6,8,22,8,12,12,6,16,6,18,20,22,18,2,22,2,16,2,22,14,10,20,10,32,4,8,10,6,2,22,6,12,2,6,4,2,4,14,12,24,10,2,12,16,2,4,6,14,6,10,12,2,16,14,34,12,2,6,6,6,4,20,10,26,12,12,4,2,4,8,10,2,4,2,22,6,6,14,4,18,12,26,6,10,8,16,2,4,20,10,6,42,2,10,6,8,24,12,6,4,6,12,2,28,8,12,18,18,6,46,8,10,6,14,4,2,6,4,6,42,8,10,8,10,2,18,4,6,12,12,2,4,20,10,12,12,8,4,26,18,22,8,6,16,14,16,2,18,10,2,6,6,10,14,4,2,30,4,2,4,8,10,6,2,12,16,6,56,10,2,12,10,8,12,6,4,14,10,2,4,8,6,4,20,6,12,22,6,32,10,2,10,12,14,6,28,36,6,6,2,12,4,6,6,8,22,2,18,10,2,6,4,20,10,8,4,6,14,18,6,42,22,2,4,2,28,2,4,18,6,6,6,12,2,24,10,36,6,2,12,10,26,24,18,16,6,6,14,24,12,4,8,6,12,4,8,16,20,40,26,4,12,2,6,4,2,10,14,10,2,4,26,12,28,2,16,26,6,10,2,6,10,6,8,6,6,6,10,12,6,20,40,20,4,2,16,12,6,12,8,4,18,2,12,10,26,12,16,2,18,24,12,4,14,22,20,10,14,12,4,18,12,8,10,12,6,30,14,4,24,6,30,6,6,2,6,22,32,6,4,6,6,20,16,2,10,8,12,10,2,6,10,8,16,36,8,6,4,2,28,2,28,12,2,10,6,14,10,6,6,6,8,6,4,14,18,4,6,12,2,10,18,8,30,40,2,18,4,6,14,18,6,4,12,6,12,6,14,10,26,6,16,2,16,30,2,10,2,42,6,28,14,6,10,2,12,18,12,6,10,12,12,20,6,4,2,10,6,12,12,14,12,34,6,2,12,10,6,8,6,4,12,38,6,10,18,2,28,2,6,12,30,16,2,10,8,4,2,16,18,26,4,6,8,18,22,6,20,4,6,12,2,6,12,4,18,6,2,22,12,8,6,16,18,30,12,24,2,10,2,6,6,4,6,36,14,6,22,2,58,8,12,6,10,2,40,8,6,28,2,4,14,6,6,18,10,8,4,14,4,8,30,4,6,8,6,6,18,4,2,4,14,12,18,10,2,4,12,2,10,8,10,14,10,18,12,8,6,10,14,10,8,22,2,6,22,12,6,8,12,28,2,48,12,4,18,8,10,14,10,14,4,12,30,24,6,8,6,4,8,54,4,2,10,12,8,10,12,12,18,2,24,4,8,22,12,20,4,12,2,12,16,2,28,2,6,24,10,2,28,2,4,20,4,12,6,14,4,6,14,22,24,20,4,14,6,6,10,30,8,10,18,2,6,6,16,2,6,6,4,2,24,4,2,24,10,6,2,10,2,6,22,8,4,8,6,4,18,2,18,4,8,16,26,4,6,8,22,20,16,8,4,6,24,6,14,12,16,2,12,4,14,10,2,4,12,18,32,10,14,24,12,40,8,34,12,14,4,18,2,28,12,20,6,10,2,40,18,14,12,4,36,6,2,22,6,14,10,24,42,2,16,2,34,8,6,4,2,4,14,40,8,12,6,24,18,4,6,2,6,4,2,4,2,24,10,8,6,6,10,14,6,16,18,14,18,24,4,6,6,8,4,20,10,6,12,2,12,4,14,6,6,6,4,14,16,36,14,6,4,14,4,6,24,8,4,20,10,14,12,34,8,10,6,6,6,14,4,14,12,6,10,18,14,10,12,6,2,6,6,28,2,4,24,6,2,4,8,16,6,20,4,2,10,2,10,8,64,6,8,12,4,14,12,10,2,12,6,10,18,24,6,2,10,8,6,16,20,4,14,6,6,12,6,4,6,2,4,8,22,6,8,4,2,16,18,14,6,22,14,10,14,4,6,2,4,14,10,12,8,16,8,10,8,24,40,6,12,2,6,18,4,2,4,30,2,30,4,8,18,12,12,4,2,4,14,36,16,18,2,12,10,6,12,18,2,18,6,6,22,18,38,6,10,18,2,10,8,6,16,24,14,6,4,6,14,16,24,6,12,8,12,10,14,46,2,16,2,22,6,2,10,2,10,2,6,4,20,10,6,30,8,6,6,4,30,8,6,6,6,22,36,2,4,8,6,6,4,14,12,10,20,4,2,4,30,6,14,16,12,30,2,4,6,8,30,10,8,34,18,12,8,22,20,4,14,10,20,6,4,2,10,14,4,26,6,36,12,18,4,8,6,4,6,2,28,6,6,24,8,10,26,6,24,4,8,24,10,20,4,2,10,14,16,2,6,6,4,6,8,18,28,14,6,16,14,6,4,6,6,8,4,2,4,12,2,12,6,12,28,2,6,12,10,14,4,44,6,10,2,12,12,30,4,12,2,6,10,12,2,10,2,10,6,8,10,6,14,16,8,6,12,10,2,10,8,12,10,18,8,4,2,4,26,6,22,6,14,10,6,2,28,6,8,46,6,6,18,6,6,8,6,10,18,2,6,12,18,10,8,12,30,10,2,10,2,4,6,18,2,4,20,12,4,6,8,34,6,6,24,12,8,36,16,2,6,4,2,4,6,20,6,24,4,2,4,18,20,6,22,8,46,18,2,16,20,22,2,24,22,2,16,24,20,16,2,4,8,10,2,10,14,4,8,18,4,8,4,14,10,2,24,16,8,6,16,20,10,2,6,4,30,2,16,32,6,12,10,24,8,12,18,16,2,12,6,4,12,6,2,28,18,2,22,6,6,6,2,6,16,14,6,30,16,2,10,2,4,12,2,12,10,14,6,10,8,28,2,36,6,16,14,4,20,24,6,4,8,4,18,8,4,14,4,6,2,24,16,14,4,26,16,2,10,32,6,4,6,12,6,36,8,12,4,2,4,8,6,4,20,12,10,24,12,2,12,10,6,12,2,6,18,4,6,6,6,8,24,6,10,12,30,14,10,8,12,6,10,12,2,18,6,4,8,4,24,20,4,8,10,12,8,12,16,6,14,4,8,4,18,50,6,6,4,6,8,6,10,26,10,6,2,10,2,10,6,38,12,4,8,10,20,6,6,6,18,10,2,12,16,2,12,12,4,26,10,6,20,18,40,12,8,10,12,2,18,12,10,2,10,26,4,6,12,8,4,30,6,2,6,16,24,24,18,12,12,8,6,4,8,10,8,6,4,20,10,26,4,24,6,2,12,42,18,6,4,26,6,28,6,2,10,8,6,6,10,8,10,2,22,2,4,20,4,6,36,14,4,20,22,6,14,6,10,8,4,2,4,14,18,34,8,22,14,10,24,6,2,10,2,6,10,26,18,10,18,24,18,2,24,40,2,4,6,2,6,10,26,6,12,12,6,4,36,2,10,12,24,2,4,8,10,6,2,4,24,2,4,36,2,22,14,24,18,42,6,10,2,24,16,12,2,4,2,10,2,10,8,4,36,8,4,12,18,6,6,14,22,2,6,24,6,10,24,20,22,6,14,36,28,6,8,6,24,6,12,28,2,18,4,2,4,20,22,8,10,2,18,4,8,10,14,10,6,8,6,6,12,16,12,14,10,18,2,10,24,24,6,12,2,22,6,20,22,2,4,12,2,6,36,6,22,6,2,28,12,18,2,4,14,6,4,2,10,2,16,2,10,8,6,10,18,12,6,14,4,6,18,12,26,4,6,14,6,10,12,2,4,2,10,24,8,10,32,10,8,10,6,2,18,12,28,30,2,18,4,6,14,6,4,8,22,8,30,18,10,26,4,2,22,8,4,8,6,4,26,4,12,20,18,6,12,10,18,2,4,6,2,12,28,6,20,6,16,8,6,6,4,6,20,12,6,4,20,6,16,6,32,10,18,2,12,};

char*mmap();
char wbuf[1<<25];

#define rd_skip() while(*rp++>=48)
#define rd(v) long v=0;{long _c;while(_c=*rp++-48,_c>=0)v=v*10+_c;}
#define rep(v,e) for(long v=0;v<e;++v)
#define rep3(v,s,e) for(long v=s;v<e;++v)

void f0(){
	long j=0;
	do{
		++j;
		primes[j]+=primes[j-1];
	}while(primes[j]<100000);
}

static inline
unsigned long splitmix64(unsigned long x) {
	x += 0x9e3779b97f4a7c15;
	x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
	x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
	return x ^ (x >> 31);
}

unsigned ab[10000];

void f1(){
	char*rp=mmap(0l,1l<<25,1,2,0,0ll);
	char*wp=wbuf;
	rd_skip();
	while(*rp){
		unsigned long s=0;
		rd(n);
		long na=0;
		rep3(i,1,n+1){
			rd(ai);
			if(i==primes[na]){
				ab[na++]=ai;
			}
			s+=splitmix64(ai);
		}
		long nb=0;
		rep3(i,1,n+1){
			rd(bi);
			if(i==primes[nb]){
				s+=ab[nb++]!=bi&&(i==1||i*2>n);
			}
			s-=splitmix64(bi);
		}
		if(s){
			*(int*)wp=*(int*)"No\n";
			wp+=3;
		}else{
			*(int*)wp=*(int*)"Yes\n";
			wp+=4;
		}
	}
	write(1,wbuf,wp-wbuf);
	_exit(0);
}

main(){
	f0();
	f1();
}