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>
#define int long long
using namespace std;
int n, m, k, color[300300], ans, dp[300300][32];
vector<int> vc[300300];
int32_t main(){
cin.tie(nullptr)->sync_with_stdio(false);
cin >> n >> m >> k;
for(int i = 1; i <= n; ++i) cin >> color[i], color[i]--;
for(int i = 0; i < m; ++i){
int u, v; cin >> u >> v;
vc[u].push_back(v), vc[v].push_back(u);
}
for(int i = 1; i <= n; ++i) dp[i][(1<<color[i])] = 1;
for(int mask = 0; mask < (1<<k); ++mask){
for(int i = 1; i <= n; ++i){
for(auto v:vc[i]){
if(mask&(1<<color[v])) dp[v][mask] += dp[i][mask^(1<<color[v])];
}
}
}
int ans = 0;
for(int i = 1; i <= n; ++i) for(int j = 0; j < (1<<k); ++j) ans += dp[i][j];
cout << ans - n;
}
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