#include using namespace std; using ll = long long; unsigned long long xor64() { static unsigned long long x = (unsigned long long)(chrono::duration_cast( chrono::high_resolution_clock::now().time_since_epoch()).count()) * 10150724397891781847ULL; x ^= x << 7; return x ^= x >> 9; } struct Miller_Rabin { unsigned long long mul_mod(unsigned long long a, unsigned long long b, unsigned long long m) { unsigned long long ans = 0; #ifdef LOCAL if(a > b) std::swap(a, b); while(b){ if(b & 1){ ans += a; if(ans >= m) ans -= m; } if((a <<= 1) >= m) a -= m; b >>= 1; } #else ans = (unsigned long long)((__int128)(a) * (__int128)(b) % m); #endif return ans; } unsigned long long pow_mod(unsigned long long x, unsigned long long n, unsigned long long m) { if (m == 1) return 0; unsigned long long r = 1; unsigned long long y = x % m; while (n) { if (n & 1) r = mul_mod(r, y, m); y = mul_mod(y, y, m); n >>= 1; } return r; } bool is_prime(unsigned long long n) { if (n <= 1) return false; if (n == 2) return true; if (n % 2 == 0) return false; unsigned long long d = n - 1; while (d % 2 == 0) d /= 2; static std::vector> bases = {{2, 6, 61}, {2, 325, 9375, 28178, 450775, 9780504, 1795265022}}; for (long long a : bases[d > 4759123141]) { unsigned long long t = d; unsigned long long y = pow_mod(a, t, n); if(a % n){ while (t != n - 1 && y != 1 && y != n - 1) { y = mul_mod(y, y, n); t <<= 1; } } if (y != n - 1 && t % 2 == 0) return false; } return true; } }; int main(){ ios::sync_with_stdio(false); cin.tie(0); clock_t finish = clock() + CLOCKS_PER_SEC / 1000 * 1960; ll n, q, k; cin >> n >> q >> k; vector a(n); vector s(n + 1); vector> query(q); vector ans(q); Miller_Rabin MR; for(auto &&v : a) cin >> v; for(auto &&[l, r] : query) cin >> l >> r, l--; while(clock() <= finish){ int mod = xor64() & 2147483647; while(!MR.is_prime(mod)) mod = xor64() & 2147483647; auto safe = [&](long long v){ v %= mod; if(v < 0) v += mod; return v; }; int d = 1; for(int i = 0; i < n; i++){ s[i + 1] = safe(s[i] + a[i] * d); d = safe(d * k); } for(int i = 0; i < q; i++){ if(ans[i]) continue; auto [l, r] = query[i]; ans[i] = s[r] != s[l]; } } for(auto &&flg : ans) cout << (flg ? "Yes" : "No") << '\n'; }