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;
const int N = 3e5 + 5;
int n,m,k,a[N];
vector<int>g[N];
namespace sub1 {
int ans = 0;
bool vis[10];
void dfs(int u) {
vis[a[u]] = true;
for (auto v: g[u]) {
if (vis[a[v]]) continue;
ans++;
dfs(v);
}
vis[a[u]] = false;
}
void solve() {
for (int i = 1; i <= n; i++) dfs(i);
cout << ans << "\n";
}
}
namespace sol {
int dp[N][35];
void solve() {
for (int i = 1; i <= n; i++) dp[i][(1 << a[i])] = 1;
for (int mask = 0; mask < (1 << k); mask++) {
for (int u = 1; u <= n; u++) {
if (dp[u][mask] == 0) continue;
for (auto v: g[u]) {
if (mask & (1 << a[v])) continue;
dp[v][mask | (1 << a[v])] += dp[u][mask];
}
}
}
int ans = 0;
for (int i = 1; i <= n; i++)
for (int mask = 0; mask < (1 << k); mask++)
if (__builtin_popcount(mask) >= 2) ans += dp[i][mask];
cout << ans << "\n";
}
}
signed main() {
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
cin >> n >> m >> k;
for (int i = 1; i <= n; i++) {
cin >> a[i];
a[i]--;
}
for (int i = 1; i <= m; i++) {
int u,v;
cin >> u >> v;
g[u].push_back(v);
g[v].push_back(u);
}
sol::solve();
}
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