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 ll long long
#define maxn 300010
ll dp[maxn][32];
ll ans = 0LL;
vector<int> adj[maxn];
int N, M, K;
int col[maxn];
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cin >> N >> M >> K;
for (int i = 1; i <= N; i++) {
cin >> col[i];
col[i]--;
}
int a, b;
for (int i = 0; i < M; i++) {
cin >> a >> b;
adj[a].push_back(b);
adj[b].push_back(a);
}
for (int mask = 0; mask < (1 << K); mask++) {
// cout << "on mask: " << mask << endl;
for (int i = 1; i <= N; i++) {
if ( (mask & (1 << col[i])) == 0 )
continue;
int gm = mask - ( 1 << col[i]);
if (gm == 0) {
dp[i][mask] = 1;
}
else {
for (int v : adj[i]) {
dp[i][mask] += dp[v][gm];
}
}
ans += dp[i][mask];
}
}
cout << ans-N << endl;
}
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