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 pb push_back
using i64 = long long;
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int n, m, k; cin >> n >> m >> k;
vector <int> c(n);
for ( auto &u: c ){
cin >> u; --u;
}
vector <vector<int>> adj(n);
for ( int i = 0; i < m; i++ ){
int u, v; cin >> u >> v;
--u, --v;
adj[u].pb(v);
adj[v].pb(u);
}
const int S = 1 << k;
vector <vector<i64>> dp(n, vector <i64> (S, -1));
auto dfs = [&](auto dfs, int u, int mask) -> i64{
if ( dp[u][mask] != -1 ) return dp[u][mask];
i64 &ret = dp[u][mask]; ret = 0;
for ( auto &v: adj[u] ){
if ( mask >> c[v] & 1 ) continue;
ret += dfs(dfs, v, mask | (1 << c[v])) + 1;
}
return ret;
};
i64 ans = 0;
for ( int i = 0; i < n; i++ ){
ans += dfs(dfs, i, 1 << c[i]);
}
cout << ans;
cout << '\n';
}
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