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 int long long
#define INF 9223372036854775807
int memo[1<<5][300009];
int n, m, k;
vector<int> Graph[300009];
vector<int> v;
int dp(int mask, int node){
if(memo[mask][node] != -1) return memo[mask][node];
int ans = 0;
bool verif = false;
for(int i = 4; i >= 0; i--){
if(1<<i & mask){
if(verif) ans = 1;
else verif = true;
}
}
for(int a : Graph[node]){
if(!(mask & (1<<v[a]))){
ans+=dp(mask | (1<<v[a]), a);
}
}
//cout << mask << ' ' << node << ' ' << ans << endl;
return memo[mask][node] = ans;
}
signed main(){
ios::sync_with_stdio(false);
cin.tie(0);
cin >> n >> m >> k;
for(int i = 0; i < (1<<5); i++){
for(int j = 0; j < 300009; j++){
memo[i][j] = -1;
}
}
v.resize(n);
for(int i = 0; i < n; i++){
cin >> v[i];
v[i]--;
}
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);
}
int ans = 0;
for(int i = 0; i < n; i++){
ans+=dp(1<<v[i], i);
}
cout << ans << endl;
}
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