結果

問題 No.2428 Returning Shuffle
コンテスト
ユーザー siman
提出日時 2023-08-30 17:40:28
言語 C++17(clang)
(17.0.6 + boost 1.87.0)
結果
AC  
実行時間 235 ms / 2,000 ms
コード長 2,341 bytes
コンパイル時間 4,862 ms
コンパイル使用メモリ 151,524 KB
実行使用メモリ 14,828 KB
最終ジャッジ日時 2025-01-02 11:15:59
合計ジャッジ時間 8,249 ms
ジャッジサーバーID
（参考情報） 		judge1 / 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 * 3
other AC * 23
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:23:18: warning: variable length arrays in C++ are a Clang extension [-Wvla-cxx-extension]
   23 |     bool checked[MAX_N + 1];
      |                  ^~~~~~~~~
main.cpp:23:18: note: implicit use of 'this' pointer is only allowed within the evaluation of a call to a 'constexpr' member function
main.cpp:70:9: warning: variable length arrays in C++ are a Clang extension [-Wvla-cxx-extension]
   70 |   int P[N];
      |         ^
main.cpp:70:9: note: read of non-const variable 'N' is not allowed in a constant expression
main.cpp:68:7: note: declared here
   68 |   int N, M;
      |       ^
main.cpp:78:11: warning: variable length arrays in C++ are a Clang extension [-Wvla-cxx-extension]
   78 |     int S[t];
      |           ^
main.cpp:78:11: note: read of non-const variable 't' is not allowed in a constant expression
main.cpp:76:9: note: declared here
   76 |     int t;
      |         ^
main.cpp:95:16: warning: variable length arrays in C++ are a Clang extension [-Wvla-cxx-extension]
   95 |   bool visited[N];
      |                ^
main.cpp:95:16: note: read of non-const variable 'N' is not allowed in a constant expression
main.cpp:68:7: note: declared here
   68 |   int N, M;
      |       ^
4 warnings generated.

ソースコード

diff # 

#include <cassert>
#include <cmath>
#include <algorithm>
#include <iostream>
#include <iomanip>
#include <climits>
#include <numeric>
#include <map>
#include <queue>
#include <set>
#include <cstring>
#include <vector>

using namespace std;
typedef long long ll;

class Prime {
public:
  vector<ll> prime_list;
  const ll MAX_N = 1000000;

  Prime() {
    bool checked[MAX_N + 1];
    memset(checked, false, sizeof(checked));

    for (ll i = 2; i <= MAX_N; ++i) {
      if (!checked[i]) {
        prime_list.push_back(i);

        for (ll j = i * i; j <= MAX_N; j += i) {
          checked[j] = true;
        }
      }
    }
  }

  map<ll, int> prime_division(ll n) {
    map<ll, int> res;

    for (ll i = 0; prime_list[i] <= sqrt(n); ++i) {
      ll p = prime_list[i];

      while (n % p == 0) {
        ++res[p];
        n /= p;
      }
    }

    if (n != 1) {
      res[n] = 1;
    }

    return res;
  }

  bool is_prime(ll n) {
    if (n <= 1) return false;

    for (int i = 0; i < prime_list.size(); ++i) {
      if (n % prime_list[i]) return false;
    }

    return true;
  }
};

int main() {
  int N, M;
  cin >> N >> M;
  int P[N];
  for (int n = 0; n < N; ++n) {
    P[n] = n;
  }

  for (int i = 0; i < M; ++i) {
    int t;
    scanf("%d", &t);
    int S[t];

    for (int j = 0; j < t; ++j) {
      scanf("%d", &S[j]);
    }

    int temp = P[S[0] - 1];

    for (int j = 0; j < t; ++j) {
      int next = S[(j + 1) % t] - 1;

      int old = P[next];
      P[next] = temp;
      temp = old;
    }
  }

  bool visited[N];
  memset(visited, false, sizeof(visited));
  vector<ll> nums;

  for (int v = 0; v < N; ++v) {
    if (visited[v]) continue;

    queue<int> que;
    que.push(v);
    int size = 0;

    while (not que.empty()) {
      int x = que.front();
      que.pop();

      if (visited[x]) continue;
      visited[x] = true;
      ++size;

      que.push(P[x]);
    }

    nums.push_back(size);
  }

  ll MOD = 998244353;
  ll ans = 1;
  Prime prime;
  map<ll, int> values;

  for (ll x : nums) {
    map<ll, int> res = prime.prime_division(x);

    for (auto [n, e] : res) {
      values[n] = max(values[n], e);
    }
  }

  for (auto [n, e] : values) {
    ll v = 1;
    for (int i = 0; i < e; ++i) {
      v *= n;
      v %= MOD;
    }

    ans *= v;
    ans %= MOD;
  }

  cout << ans << endl;

  return 0;
}
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