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 N, M, K;
int col[300001];
vector<int> edge[300001];
vector< vector<int> > dp;
int curr;
int count1[33];
void dfs(int u, int mask)
{
if(mask & (1 << col[u])) return;
mask += (1 << col[u]);
dp[curr][mask - (1 << col[curr])] += 1;
if(count1[mask] < 3)
for(int v: edge[u]) dfs(v, mask);
}
int main()
{
cin >> N >> M >> K;
for(int i = 1; i <= N; i++)
{
cin >> col[i];
col[i]--;
}
int a, b;
for(int i = 1; i <= M; i++)
{
cin >> a >> b;
edge[a].push_back(b);
edge[b].push_back(a);
}
count1[0] = 0;
for(int i = 1; i <= 32; i++) count1[i] = count1[i/2] + (i % 2);
dp = vector< vector<int> >(N+1, vector<int>((1 << K), 0));
for(curr = 1; curr <= N; curr++) dfs(curr, 0);
// for(int i = 1; i <= N; i++)
// {
// for(int j = 0; j < (1 << K); j++) cout << dp[i][j] << ' ';
// cout << '\n';
// }
long long res = 0;
for(int i = 1; i <= N; i++)
{
for(int mask = 0; mask < (1 << K); mask++)
{
res += dp[i][mask];
}
}
cout << res - N << '\n';
}
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