This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#define int long long
int n, m, k;
vector<int> ord;
const int MAXN = 3e5 + 10;
vector<int> adj[MAXN];
int cor[MAXN];
int dp[MAXN];
int t;
void calc(int node, int i) {
if (dp[node] != -1) return;
if (i == (t - 1)) {
dp[node] = 1;
return;
}
dp[node] = 0;
for (auto u : adj[node]) {
if (cor[u] == ord[i + 1]) {
calc(u, i + 1);
dp[node] += dp[u];
}
}
}
int32_t main() {
cin >> n >> m >> k;
for (int i = 1; i <= n; i++) {
cin >> cor[i];
}
for (int i = 0; i < m; i++) {
int a, b;
cin >> a >> b;
adj[a].push_back(b);
adj[b].push_back(a);
}
int ans = 0;
for (int mask = 1; mask < (1LL << k); mask++) {
ord.clear();
for (int i = 0; i < k; i++) {
if (mask & (1LL << i)) ord.push_back(i + 1);
}
t = ord.size();
if (t == 1) continue;
do {
// do it now!!
//for (auto u : ord) cout << u << " ";
//cout << "\n";
int currans = 0;
memset(dp, -1, sizeof dp);
for (int i = 1; i <= n; i++) {
if (cor[i] == ord[0]) {
calc(i, 0);
currans += dp[i];
}
}
//cout << "ans " << currans << "\n";
ans += currans;
} while (next_permutation(ord.begin(), ord.end()));
}
cout << ans << "\n";
}
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