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 <iostream>
#include <vector>
using namespace std;
using ll = long long;
int n, m, k;
vector<int> c;
vector<vector<int>> g;
ll solve() {
vector<vector<ll>> dp(n, vector<ll>((1 << k), 0));
for (int u = 0; u < n; u++) {
dp[u][(1 << c[u])] = 1;
}
ll ans = 0;
for (int i = 2; i <= k; i++) {
for (int u = 0; u < n; u++) {
for (int v : g[u]) {
if (c[u] == c[v]) continue;
for (int mask = 0; mask < (1 << k); mask++) {
if (__builtin_popcount(mask) == i and mask&(1 << c[u]) and mask&(1 << c[v])) {
ans += dp[v][mask - (1 << c[u])];
dp[u][mask] += dp[v][mask - (1 << c[u])];
}
}
}
}
}
return ans;
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cin >> n >> m >> k;
c.resize(n), g.resize(n);
for (int u = 0; u < n; u++) {
cin >> c[u];
c[u]--;
}
while (m--) {
int u, v;
cin >> u >> v;
u--, v--;
g[u].push_back(v);
g[v].push_back(u);
}
cout << solve() << endl;
return 0;
}
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