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;
long long solve(vector<vector<int>> &adj, int current, int colsUsed, int K, vector<int> &colors, vector<vector<long long>> &dp)
{
int cnt = 0;
if (dp[current][colsUsed])
{
return dp[current][colsUsed];
}
for (auto u : adj[current])
{
if ((colsUsed & (1 << colors[u])) == 0)
{
cnt += solve(adj, u, colsUsed ^ (1 << colors[u]), K, colors, dp) + 1;
}
}
dp[current][colsUsed] = cnt;
return cnt;
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
int n, m, K;
cin >> n >> m >> K;
vector<int> cols;
for (int i = 0; i < n; i++)
{
int x;
cin >> x;
x--;
cols.push_back(x);
}
vector<vector<int>> graph(n);
for (int i = 0; i < m; i++)
{
int a, b;
cin >> a >> b;
a--; b--;
graph[a].push_back(b);
graph[b].push_back(a);
}
vector<vector<long long>> dp(n+1, vector<long long> (1 << K));
int res = 0;
for (int i = 0; i < n; i++)
{
res += solve(graph, i, (1 << cols[i]), K, cols, dp);
}
cout << res;
return 0;
}
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