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>
using namespace std;
int main()
{
int N, M, K;
cin >> N >> M >> K;
vector<int> col(N+1);
for(int i = 1; i <= N; i++)
{
cin >> col[i];
col[i] = (1 << (col[i] - 1));
}
vector<int> edge[N+1];
int a, b;
for(int i = 1; i <= M; i++)
{
cin >> a >> b;
edge[a].push_back(b);
edge[b].push_back(a);
}
vector<int> count1(33);
count1[0] = 0;
for(int i = 1; i <= 32; i++) count1[i] = count1[i/2] + (i % 2);
vector< vector<int> > dp = vector< vector<int> >(N+1, vector<int>((1 << K), 0));
for(int mask = 1; mask < (1 << K); mask++)
{
for(int u = 1; u <= N; u++)
{
if(mask & col[u])
{
if(count1[mask] == 1) dp[u][mask] = 1;
else for(int v: edge[u]) dp[u][mask] += dp[v][mask - col[u]];
}
// cout << u << ' ' << col[u] << ' ' << bool(mask&1) << bool(mask&2) << bool(mask&4) << ' ' << dp[u][mask] << '\n';
}
}
long long res = 0;
for(int i = 1; i <= N; i++)
{
for(int mask = 0; mask < (1 << K); mask++)
{
if(count1[mask] > 1)
res += dp[i][mask];
}
}
cout << res << '\n';
}
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