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>
#define ll long long
const int N = 5e5 + 5;
const ll MOD = 1e9 + 7;
#define cntbit(x) __builtin_popcount(x)
#define on(b, x) (b & (1 << x))
using namespace std;
int n, m, k;
int c[N];
vector<int> g[N];
ll dp[1 << 5][N];
vector<int> z[100];
int main() {
#ifdef CHUNGDINH
freopen("main.inp", "r", stdin);
#endif // CHUNGDINH
cin >> n >> m >> k;
for (int i = 1; i <= n; i++) {
cin >> c[i]; c[i]--;
dp[1 << c[i]][i] = 1;
}
for (int i = 0; i < m; i++) {
int u, v; cin >> u >> v;
g[u].push_back(v);
g[v].push_back(u);
}
for (int b = 1; b < (1 << k); b++) z[cntbit(b)].push_back(b);
ll res = 0;
for (int i = 2; i <= k; i++) {
for (int b : z[i]) {
for (int u = 1; u <= n; u++) {
dp[b][u] = 0;
if (!on(b, c[u])) continue;
for (int v : g[u]) {
if (!on(b, c[v])) continue;
dp[b][u] += dp[b ^ (1 << c[u])][v];
}
res += dp[b][u];
}
}
}
cout << res;
}
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