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 FOR(i, a, b) for(int i=a; i<=b; ++i)
#define eb emplace_back
#define ll long long
#define V vector
const int maxn=3e5+7, maxk=5;
ll dp[maxn][1<<maxk];
int n, m, k;
V<int> A;
V<V<int>> con;
int main() {
cin.tie(0) -> ios_base::sync_with_stdio(0);
cin >> n >> m >> k;
A.resize(n+1);
con.resize(n+1);
FOR(i, 1, n) {
cin >> A[i];
--A[i];
dp[i][1<<A[i]]=1;
}
int a, b;
FOR(i, 1, m) {
cin >> a >> b;
con[a].eb(b);
con[b].eb(a);
}
ll odp=0;
FOR(m, 1, (1<<k)-1) {
FOR(v, 1, n) {
int gr = A[v];
if((m|(1<<gr))!=m) continue;
if(__builtin_popcount(m)>=2) odp+=dp[v][m];
for(int u : con[v]) {
int sgr = A[u];
if((m|(1<<sgr))==m) continue;
dp[u][m|(1<<sgr)]+=dp[v][m];
}
}
}
cout << odp << '\n';
}
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