#include #include #define NUM_PRIME 4 long long p[NUM_PRIME] = {}; long long pow_k[200001][NUM_PRIME] = {}; void set_segt (long long t[][NUM_PRIME], int idx, long long val, int size) { int len = 1; idx = idx+size-1; for (int i = 0; i < NUM_PRIME; i++) { if (val < 0LL) { t[idx][i] = (p[i]-(val*(-1LL))%p[i])%p[i]; } else { t[idx][i] = val%p[i]; } } while (idx > 0) { idx = (idx-1)/2; for (int i = 0; i < NUM_PRIME; i++) { t[idx][i] = (t[2*idx+1][i]+pow_k[len][i]*t[2*idx+2][i])%p[i]; } len *= 2; } return; } int sum_segt_rec (long long t[][NUM_PRIME], int a, int b, int k, int l, int r, long long *ans) { long long tmp[NUM_PRIME] = {}; int len1 = 0; int len2 = 0; if (r <= a || b <= l) { for (int i = 0; i < NUM_PRIME; i++) { ans[i] = 0LL; } return 0; } if (a <= l && r <= b) { for (int i = 0; i < NUM_PRIME; i++) { ans[i] = t[k][i]; } return r-l; } len1 = sum_segt_rec(t, a, b, 2*k+1, l, (l+r)/2, ans); len2 = sum_segt_rec(t, a, b, 2*k+2, (l+r)/2, r, tmp); for (int i = 0; i < NUM_PRIME; i++) { ans[i] += tmp[i]*pow_k[len1][i]; ans[i] %= p[i]; } return len1+len2; } int sum_segt (long long t[][NUM_PRIME], int a, int b, int size, long long *ans) { return sum_segt_rec(t, a, b, 0, 0, size, ans); } int main () { int n = 0; int q = 0; long long k = 0LL; long long a = 0LL; int l = 0; int r = 0; int res = 0; long long t[262143][NUM_PRIME] = {}; int size = 1; srand(1); res = scanf("%d", &n); res = scanf("%d", &q); res = scanf("%lld", &k); for (int i = 0; i < NUM_PRIME; i++) { p[i] = (long long)(rand()%1000000000+1000000000); } for (int i = 0; i < NUM_PRIME; i++) { pow_k[0][i] = 1LL; } for (int i = 0; i < n; i++) { for (int j = 0; j < NUM_PRIME; j++) { pow_k[i+1][j] = (pow_k[i][j]*(k%p[j]))%p[j]; } } while (size <= n) { size <<= 1; } for (int i = 0; i < n; i++) { res = scanf("%lld", &a); set_segt(t, i, a, size); } while (q > 0) { long long ans[4] = {}; int is_ng = 1; res = scanf("%d", &l); res = scanf("%d", &r); res = sum_segt(t, l-1, r, size, ans); for (int i = 0; i < NUM_PRIME; i++) { if (ans[i] > 0LL) { is_ng = 0; } } if (is_ng > 0) { printf("No\n"); } else { printf("Yes\n"); } q--; } return 0; }