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>
#define int ll
using namespace std;
#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define rng(i,c,n) for(int i=c;i<n;i++)
#define fi first
#define se second
#define pb push_back
#define sz(a) (int)a.size()
#define vec(...) vector<__VA_ARGS__>
#define _3NRqilq ios::sync_with_stdio(0),cin.tie(0)
typedef long long ll;
using pii=pair<int,int>;
using vi=vector<int>;
void print(){cout<<'\n';}
template<class h,class...t>
void print(const h&v,const t&...u){cout<<v<<' ',print(u...);}
signed main(){
_3NRqilq;
int n,m,k;
cin>>n>>m>>k;
vi a(n);
rep(i,n){
cin>>a[i];
}
rep(i,n){
a[i]-=1;
}
vec(vi) adj(n);
rep(i,m){
int u,v;
cin>>u>>v;
u-=1,v-=1;
adj[u].pb(v);
adj[v].pb(u);
}
vec(vi) dp(1<<k,vi(n));
rep(i,n)dp[1<<a[i]][i]=1;
int ans=0;
rep(msk,1<<k){
rep(v,n){
for(auto u:adj[v]){
if(msk>>a[u]&1) continue;
int nmsk=msk|(1<<a[u]);
dp[nmsk][u]+=dp[msk][v];
}
}
rep(v,n){
ans+=dp[msk][v];
}
}
print(ans-n);
}
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