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 int long long
#define INF (int)1e18
#define f first
#define s second
mt19937_64 RNG(chrono::steady_clock::now().time_since_epoch().count());
int n, m, k;
const int N = 3e5 + 69;
const int K = 5;
int dp[N][1 << K];
vector <int> adj[N];
int a[N];
int cnt(int x){
if (x == 0) return 0;
return cnt(x/2) + x % 2;
}
void Solve()
{
cin >> n >> m >> k;
for (int i = 1; i <= n; i++) {
cin >> a[i], a[i]--;
dp[i][1 << a[i]] = 1;
}
for (int i = 1; i <= m; i++){
int u, v; cin >> u >> v;
adj[u].push_back(v);
adj[v].push_back(u);
}
for (int it = 2; it <= 5; it++){
vector <int> ok;
for (int mask = 1; mask < 32; mask++){
if (cnt(mask) == it) ok.push_back(mask);
}
for (int i = 1; i <= n; i++){
for (int j : adj[i]){
for (auto mask : ok){
if (mask >> a[i] & 1){
dp[i][mask] += dp[j][mask ^ (1 << a[i])];
}
}
}
}
}
int ans = 0;
for (int i = 1; i <= n; i++){
for (int j = 1; j < 32; j++){
ans += dp[i][j];
}
}
cout << ans - n << "\n";
}
int32_t main()
{
auto begin = std::chrono::high_resolution_clock::now();
ios_base::sync_with_stdio(0);
cin.tie(0);
int t = 1;
// cin >> t;
for(int i = 1; i <= t; i++)
{
//cout << "Case #" << i << ": ";
Solve();
}
auto end = std::chrono::high_resolution_clock::now();
auto elapsed = std::chrono::duration_cast<std::chrono::nanoseconds>(end - begin);
cerr << "Time measured: " << elapsed.count() * 1e-9 << " seconds.\n";
return 0;
}
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