Submission #967734

#TimeUsernameProblemLanguageResultExecution timeMemory
967734mannshah1211Paths (BOI18_paths)C++17
100 / 100
373 ms70736 KiB
/**
 *  author: hashman
 *  created: 
**/

#include <bits/stdc++.h>

using namespace std;

#ifdef LOCAL
#include "algo/debug.h"
#else
#define debug(...) 42
#endif

int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int n, m, k;
  cin >> n >> m >> k;
  vector<int> c(n);
  for (int i = 0; i < n; i++) {
    cin >> c[i];
    --c[i];
  }
  vector<vector<int>> g(n);
  for (int i = 0; i < m; i++) {
    int a, b;
    cin >> a >> b;
    --a; --b;
    g[a].push_back(b);
    g[b].push_back(a);
  }
  vector<vector<int64_t>> dp(n, vector<int64_t>(1 << k));
  for (int i = 0; i < n; i++) {
    dp[i][1 << c[i]] = 1;
  }
  for (int j = 1; j < (1 << k); j++) {
    for (int i = 0; i < n; i++) {
      if (j & (1 << c[i])) {
        for (int prv : g[i]) {
          dp[i][j] += dp[prv][j - (1 << c[i])];
        }
      }
    }
  }
  int64_t ans = 0;
  for (int i = 0; i < n; i++) {
    for (int j = 1; j < (1 << k); j++) {
      ans += dp[i][j];
    }
  }
  cout << ans - n << '\n';
}
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