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;
int n,m,k;
vector<int>all,val,unnow;
vector<vector<int>>adj,allv;
long long res=0;
void solve(int mina){
if(mina>k){
if((int)unnow.size()<=1){
return ;
}
do{
for(auto x:unnow){
for(auto y:allv[x]){
val[y]=0;
}
}
for(int i=0;i<(int)unnow.size()-1;i++){
for(auto x:allv[unnow[i]]){
if(i==0){
val[x]=1;
}
for(auto y:adj[x]){
if(all[y]==unnow[i+1]){
val[y]+=val[x];
}
}
}
}
for(auto x:allv[unnow.back()]){
res+=val[x];
}
}while(next_permutation(unnow.begin(),unnow.end()));
return ;
}
solve(mina+1);
unnow.push_back(mina);
solve(mina+1);
unnow.pop_back();
}
int main(){
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin>>n>>m>>k;
val.resize(n+1);
all.resize(n+1);
adj.resize(n+1);
allv.resize(k+1);
for(int i=1;i<=n;i++){
cin>>all[i];
allv[all[i]].push_back(i);
}
for(int i=0;i<m;i++){
int u,v;
cin>>u>>v;
adj[u].push_back(v);
adj[v].push_back(u);
}
solve(1);
cout<<res<<'\n';
}
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