Submission #682592

#TimeUsernameProblemLanguageResultExecution timeMemory
682592vjudge1Anagramistica (COCI21_anagramistica)C++17
110 / 110
33 ms14164 KiB
#include <bits/stdc++.h>

using namespace std;

const int mod = 1e9 + 7;
const int N = 2e3;
int dp[1 + N], C[1 + N][1 + N];

void addSelf(int &x, int y) {
  x += y;
  if (x >= mod) {
    x -= mod;
  }
}

int add(int x, int y) {
  addSelf(x, y);
  return x;
}

int mult(int x, int y) {
  return (int64_t)x * y % mod;
}

void precalc(int n) {
  for (int i = 0; i <= n; ++i) {
    C[i][0] = 1;

    for (int j = 1; j <= i; ++j) {
      C[i][j] = add(C[i - 1][j - 1], C[i - 1][j]);
    }
  }
}

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr);

  int n, k;
  cin >> n >> k;

  precalc(n);

  unordered_map<string, int> cnt;

  for (int i = 0; i < n; ++i) {
    string word;
    cin >> word;

    sort(word.begin(), word.end());

    cnt[word] += 1;
  }

  dp[0] = 1;

  for (const auto &it : cnt) {
    int subSize = it.second;

    for (int pairs = k; pairs >= 0; --pairs) {
      for (int take = 1; take <= subSize && C[take][2] <= pairs; ++take) {
        addSelf(dp[pairs], mult(dp[pairs - C[take][2]], C[subSize][take]));
      }
    }
  }

  cout << dp[k] << '\n';

  return 0;
}
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