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;
typedef long long ll;
#define F first
#define S second
#define pb push_back
#define endl "\n"
#define all(x) x.begin(), x.end()
const int M = 2000007;
const ll inf = 1e18;
const ll mod = 998244353;
const double pi = acos(-1);
const int dx[] = {1, 0, -1, 0}, dy[] = {0, 1, 0, -1};
vector <int> adj[M];
ll n, m, k, col[M], dp[M][50], ans;
int main()
{
cin >> n >> m >> k;
for(int i = 1; i <= n; ++i) cin >> col[i], --col[i];
for(int i = 1; i <= m; ++i){
int a, b;
cin >> a >> b;
adj[a].pb(b);
adj[b].pb(a);
}
for(int i = 1; i <= n; ++i) dp[i][(1 << col[i])] = 1;
for(int mask = 1; mask < (1 << k); ++mask){
for(int i = 1; i <= n; ++i){
for(auto j : adj[i]) if(((mask >> col[j]) & 1) == 0){
dp[j][(mask | (1 << col[j]))] += dp[i][mask];
}
ans += dp[i][mask];
}
}
cout << ans - n << endl;
return 0;
}
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