結果

問題 No.3026 Range LCM (Online Version)
ユーザー 👑 hos.lyric
提出日時 2025-02-14 21:51:17
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 2,028 ms / 3,000 ms
コード長 6,174 bytes
コンパイル時間 1,298 ms
コンパイル使用メモリ 116,712 KB
実行使用メモリ 387,460 KB
最終ジャッジ日時 2025-02-14 21:53:57
合計ジャッジ時間 53,800 ms
ジャッジサーバーID
(参考情報)
judge2 / judge5
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 1
other AC * 36
権限があれば一括ダウンロードができます
コンパイルメッセージ
main.cpp: In function ‘int main()’:
main.cpp:98:12: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
   98 |       scanf("%d", &A[i]);
      |       ~~~~~^~~~~~~~~~~~~
main.cpp:100:10: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
  100 |     scanf("%d", &Q);
      |     ~~~~~^~~~~~~~~~
main.cpp:152:12: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
  152 |       scanf("%d%d", &L, &R);
      |       ~~~~~^~~~~~~~~~~~~~~~

ソースコード

diff #
プレゼンテーションモードにする

#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <functional>
#include <iostream>
#include <limits>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
using Int = long long;
template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &a) { return os << "(" << a.first << ", " << a.second << ")"; };
template <class T> ostream &operator<<(ostream &os, const vector<T> &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i
    >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; }
template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; }
template <class T> bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; }
template <class T> bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; }
#define COLOR(s) ("\x1b[" s "m")
////////////////////////////////////////////////////////////////////////////////
template <unsigned M_> struct ModInt {
static constexpr unsigned M = M_;
unsigned x;
constexpr ModInt() : x(0U) {}
constexpr ModInt(unsigned x_) : x(x_ % M) {}
constexpr ModInt(unsigned long long x_) : x(x_ % M) {}
constexpr ModInt(int x_) : x(((x_ %= static_cast<int>(M)) < 0) ? (x_ + static_cast<int>(M)) : x_) {}
constexpr ModInt(long long x_) : x(((x_ %= static_cast<long long>(M)) < 0) ? (x_ + static_cast<long long>(M)) : x_) {}
ModInt &operator+=(const ModInt &a) { x = ((x += a.x) >= M) ? (x - M) : x; return *this; }
ModInt &operator-=(const ModInt &a) { x = ((x -= a.x) >= M) ? (x + M) : x; return *this; }
ModInt &operator*=(const ModInt &a) { x = (static_cast<unsigned long long>(x) * a.x) % M; return *this; }
ModInt &operator/=(const ModInt &a) { return (*this *= a.inv()); }
ModInt pow(long long e) const {
if (e < 0) return inv().pow(-e);
ModInt a = *this, b = 1U; for (; e; e >>= 1) { if (e & 1) b *= a; a *= a; } return b;
}
ModInt inv() const {
unsigned a = M, b = x; int y = 0, z = 1;
for (; b; ) { const unsigned q = a / b; const unsigned c = a - q * b; a = b; b = c; const int w = y - static_cast<int>(q) * z; y = z; z = w; }
assert(a == 1U); return ModInt(y);
}
ModInt operator+() const { return *this; }
ModInt operator-() const { ModInt a; a.x = x ? (M - x) : 0U; return a; }
ModInt operator+(const ModInt &a) const { return (ModInt(*this) += a); }
ModInt operator-(const ModInt &a) const { return (ModInt(*this) -= a); }
ModInt operator*(const ModInt &a) const { return (ModInt(*this) *= a); }
ModInt operator/(const ModInt &a) const { return (ModInt(*this) /= a); }
template <class T> friend ModInt operator+(T a, const ModInt &b) { return (ModInt(a) += b); }
template <class T> friend ModInt operator-(T a, const ModInt &b) { return (ModInt(a) -= b); }
template <class T> friend ModInt operator*(T a, const ModInt &b) { return (ModInt(a) *= b); }
template <class T> friend ModInt operator/(T a, const ModInt &b) { return (ModInt(a) /= b); }
explicit operator bool() const { return x; }
bool operator==(const ModInt &a) const { return (x == a.x); }
bool operator!=(const ModInt &a) const { return (x != a.x); }
friend std::ostream &operator<<(std::ostream &os, const ModInt &a) { return os << a.x; }
};
////////////////////////////////////////////////////////////////////////////////
constexpr unsigned MO = 998244353;
using Mint = ModInt<MO>;
constexpr int M = 200'010;
vector<int> lpf;
int N, Q;
vector<int> A;
Mint whole[450][200'010];
int main() {
lpf.assign(M + 1, 0);
for (int p = 2; p <= M; ++p) lpf[p] = p;
for (int p = 2; p <= M; ++p) if (lpf[p] == p) {
for (int n = p; n <= M; n += p) chmin(lpf[n], p);
}
for (; ~scanf("%d", &N); ) {
A.resize(N);
for (int i = 0; i < N; ++i) {
scanf("%d", &A[i]);
}
scanf("%d", &Q);
vector<vector<pair<int, int>>> B(N);
for (int i = 0; i < N; ++i) {
for (int a = A[i]; a > 1; ) {
const int p = lpf[a];
int e = 0;
do { ++e; a /= p; } while (a % p == 0);
B[i].emplace_back(p, e);
}
}
// cerr<<"B = "<<B<<endl;
const int Y = max<int>(N / sqrt(Q), 1);
const int X = (N + Y - 1) / Y;
// cerr<<"X = "<<X<<", Y = "<<Y<<endl;
for (int x = 0; x < X; ++x) {
vector<int> es(M + 1, 0);
whole[x][x * Y] = 1;
for (int i = x * Y; i < N; ++i) {
int prod = 1;
for (const auto &pe : B[i]) {
const int p = pe.first;
const int e = pe.second;
for (; es[p] < e; ++es[p]) prod *= p;
}
whole[x][i + 1] = whole[x][i] * prod;
}
// cerr<<"whole["<<x<<"] = ";pv(whole[x],whole[x]+(N+1));
}
vector<vector<pair<int, int>>> nxt(N);
{
vector<int> app(M + 1, N);
for (int i = N; --i >= 0; ) {
for (const auto &pe : B[i]) {
const int p = pe.first;
const int e = pe.second;
int q = 1;
for (int f = 1; f <= e; ++f) {
q *= p;
nxt[i].emplace_back(p, app[q]);
app[q] = i;
}
}
}
}
// cerr<<"nxt = "<<nxt<<endl;
Mint lastans = 1;
for (int q = 0; q < Q; ++q) {
int L, R;
scanf("%d%d", &L, &R);
L = (int)(L * lastans).x % N + 1;
R = (int)(R * lastans).x % N + 1;
if (L > R) swap(L, R);
--L;
// cerr<<COLOR("93")<<L<<" "<<R<<COLOR()<<endl;
const int k = (L + Y - 1) / Y;
int l = k * Y;
Mint ans = 1;
if (l <= R) {
ans = whole[k][R];
} else {
l = R;
}
for (; --l >= L; ) {
int prod = 1;
for (const auto &qi : nxt[l]) {
if (qi.second >= R) prod *= qi.first;
}
ans *= prod;
}
printf("%u\n", ans.x);
lastans = ans;
}
}
return 0;
}
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