/* -*- coding: utf-8 -*- * * 854.cc: No.854 公平なりんご分配 - yukicoder */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; /* constant */ const int MAX_N = 100000; const int MAX_E2 = 1 << 18; // 262144 const int MAX_P = 2000; const int PN = 310; /* typedef */ typedef int vec[PN]; /* global variables */ bool primes[MAX_P + 1]; vec pnums, afss[MAX_N + 1]; int zss[MAX_N + 1]; /* subroutines */ int gen_primes(int maxp, vec pnums) { memset(primes, true, sizeof(primes)); primes[0] = primes[1] = false; int p, pn = 0; for (p = 2; p * p <= maxp; p++) if (primes[p]) { pnums[pn++] = p; for (int q = p * p; q <= maxp; q += p) primes[q] = false; } for (; p <= maxp; p++) if (primes[p]) pnums[pn++] = p; return pn; } bool prime_decomp(int n, int pn, vec pnums, vec fs) { for (int i = 0; i < pn; i++) { int &pi = pnums[i]; fs[i] = 0; while (n % pi == 0) n /= pi, fs[i]++; } return (n == 1); } void copyvec(int n, vec c, vec a) { copy(a, a + n, c); } void addvec(int n, vec c, vec a, vec b) { for (int i = 0; i < n; i++) c[i] = a[i] + b[i]; } void subvec(int n, vec c, vec a, vec b) { for (int i = 0; i < n; i++) c[i] = a[i] - b[i]; } bool cmpvec(int n, vec a, vec b) { bool ok = true; for (int i = 0; ok && i < n; i++) ok = (a[i] >= b[i]); return ok; } /* main */ int main() { int pn = gen_primes(MAX_P, pnums); //printf("pn=%d\n", pn); return 0; int n; scanf("%d", &n); memset(afss[0], 0, sizeof(vec)); zss[0] = 0; for (int i = 0; i < n; i++) { int ai; scanf("%d", &ai); if (ai == 0) { copyvec(pn, afss[i + 1], afss[i]); zss[i + 1] = zss[i] + 1; } else { vec fs; prime_decomp(ai, pn, pnums, fs); addvec(pn, afss[i + 1], afss[i], fs); zss[i + 1] = zss[i]; } } int q; scanf("%d", &q); while (q--) { int p, l, r; scanf("%d%d%d", &p, &l, &r); l--; if (zss[r] > zss[l]) puts("Yes"); else { vec fs, pfs; if (! prime_decomp(p, pn, pnums, pfs)) puts("NO"); else { subvec(pn, fs, afss[r], afss[l]); if (cmpvec(pn, fs, pfs)) puts("Yes"); else puts("NO"); } } } return 0; }