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 rc(x) return cout<<x<<endl,0
#define pb push_back
#define dbg(x) cout << #x << '=' << x << '\n';
#define ll long long
#define sz size()
#define x first
#define y second
#define pi pair <int, int>
#define pii pair <pi, int>
#define vi vector <int>
const ll mod = 1000000007;
#define int ll
int n, m, k, c[300001], dp[300001][32];
vector <int> g[300001];
int gcd(int a, int b){
if(a==0) return b;
else return gcd(b%a, a);
}
int32_t main(){
ios_base :: sync_with_stdio(0); cin.tie(); cout.tie();
cin>>n>>m>>k;
for(int i=1; i<=n; i++){
cin>>c[i];
c[i]--;
}
for(int i=1; i<=m; i++){
int x, y;
cin>>x>>y;
g[x].pb(y);
g[y].pb(x);
}
for(int i=1; i<=n; i++) dp[i][(1<<c[i])]=1;
for(int mask=1; mask<(1<<k); mask++){
for(int i=1; i<=n; i++){
if(dp[i][mask]==0) continue;
for(int j: g[i]){
if(((1<<c[j])&mask)) continue;
else dp[j][(mask|(1<<c[j]))]+=dp[i][mask];
}
}
}
int ans=0;
for(int mask=1; mask<(1<<k); mask++){
for(int i=1; i<=n; i++){
//if(dp[i][mask]) cout<<i<<" "<<mask<<" "<<dp[i][mask]<<endl;
ans+=dp[i][mask];
}
}
cout<<ans-n;
}
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