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
signed main(){
int n,m,k;
cin>>n>>m>>k;
vector<int>adj[n+1];
int a[n+1];
for(int q=0;q<n;q++){
cin>>a[q];
a[q]--;
}
for(int q=1;q<=m;q++){
int u,v;
cin>>u>>v;
u--;
v--;
adj[u].push_back(v);
adj[v].push_back(u);
}
int ans=0;
int dp[n+1][(1<<k)];
memset(dp,0,sizeof dp);
for(int q=0;q<n;q++){
dp[q][(1<<a[q])]=1;
}
for(int apa=1;apa<(1<<k);apa++){
for(int q=0;q<n;q++){
if(!(apa & (1<<a[q])))continue;
for(auto v : adj[q]){
dp[q][apa]+=dp[v][(apa-(1<<a[q]))];
// cout<<dp[q][apa]<<endl;
}
}
}
for(int q=0;q<n;q++){
for(int w=1;w<(1<<k);w++){
ans+=dp[q][w];
}
}
cout<<ans-n<<endl;
}
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