Submission #493169

#TimeUsernameProblemLanguageResultExecution timeMemory
493169MilosMilutinovicPaths (BOI18_paths)C++14
100 / 100
403 ms70768 KiB
#include <bits/stdc++.h>

using namespace std;

int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int n, m, k;
  cin >> n >> m >> k;
  vector<int> a(n);
  vector<vector<long long>> dp(n, vector<long long>(1 << k));
  for (int i = 0; i < n; i++) {
    cin >> a[i];
    --a[i];
    dp[i][1 << a[i]] = 1;
  }
  vector<vector<int>> g(n);
  for (int i = 0; i < m; i++) {
    int u, v;
    cin >> u >> v;
    --u, --v;
    g[u].push_back(v);
    g[v].push_back(u);
  }
  for (int j = 0; j < (1 << k); j++) {
    for (int i = 0; i < n; i++) {
      if ((j & (1 << a[i]))) {
        continue;
      }
      for (int x : g[i]) {
        if (!(j & (1 << a[x]))) {
          continue;
        }
        dp[i][j ^ (1 << a[i])] += dp[x][j];
      }
    }
  }
  long long ans = 0;
  for (int i = 0; i < n; i++) {
    for (int j = 0; j < (1 << k); j++) {
      ans += dp[i][j];
    }
  }
  cout << ans - n << '\n';
  return 0;
}
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