Submission #1020626

#TimeUsernameProblemLanguageResultExecution timeMemory
1020626adrielcpPaths (BOI18_paths)C++17
100 / 100
683 ms234084 KiB
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define lld double
#define int ll
#define usaco(fname) freopen(#fname ".in","r",stdin);freopen(#fname ".out","w",stdout);
template<typename A, typename B> ostream& operator<<(ostream &os, const pair<A, B> &p) { return os << '(' << p.first << ", " << p.second << ')'; }
template<typename T_container, typename T = typename enable_if<!is_same<T_container, string>::value, typename T_container::value_type>::type> ostream& operator<<(ostream &os, const T_container &v) { os << '{'; string sep; for (const T &x : v) os << sep << x, sep = ", "; return os << '}'; }
// const ll INF = 1e18;
const int INF = 1e9;
const int mod = 1e9+7;
const lld PI = acos(-1.0);
int di[] = {1, -1, 0, 0, 1, 1, -1, -1};
int dj[] = {0, 0, 1, -1, 1, -1, 1, -1};
#define debug(x) cout << #x << ": " << x << endl;
#define add(a, b) a += b, a %= mod
#define mul(a, b) ((a % mod) * (b % mod)) % mod
#define all(x) x.begin(),x.end()

void solve() {
  int n,m,k;cin>>n>>m>>k;
  vector<int> a(n);
  for (int i = 0; i < n; i++) cin >> a[i], a[i]--;
  vector<vector<int>> adj(n, vector<int>());
  // bitmask of size k
  vector<vector<vector<int>>> dp(n, vector<vector<int>>(k, vector<int>(1 << k)));
  // cout << (1 << k) << endl;;
  for (int i = 0; i < m; i++) {
    int u,v;cin>>u>>v;u--;v--;
    adj[u].push_back(v);
    adj[v].push_back(u);
  }

  for (int i = 0; i < n; i++) dp[i][0][1 << a[i]]++;

  int ans = 0;
  for (int j = 1; j < k; j++) {
    for (int i = 0; i < n; i++) {
      for (auto children : adj[i]) {
        for (int mask = 0; mask < (1 << k); mask++) {
          if (mask & (1 << a[i])) continue;
          dp[i][j][mask | (1 << a[i])] += dp[children][j-1][mask];
        }
      }
    }
  }

  for (int j = 1; j < k; j++) {
    for (int i = 0; i < n; i++) {
      for (int mask = 0; mask < (1 << k); mask++) {
        ans += dp[i][j][mask];
      }
    }
  }
  cout << ans << endl;
}

int32_t main() {
  ios_base::sync_with_stdio(0);cin.tie(0);
  int t=1;
  while(t--) solve();

  return 0;
}
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