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>
#pragma GCC optimize("O3,no-stack-protector,unroll-loops")
#pragma GCC target("avx2,fma")
#define rep(i,l,r) for (int i = l; i < r; i++)
#define repr(i,r,l) for (int i = r; i >= l; i--)
#define X first
#define Y second
#define pb push_back
#define endl '\n'
#define debug(x) cerr << #x << " : " << x << endl;
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int,int> pll;
typedef pair<long double,long double> pld;
const long long int N = 3e5+10,mod = 1e9+7,inf = 1e9,sq = 700,sig = 26;
inline int mkay(int a,int b){
if (a+b >= mod) return a+b-mod;
if (a+b < 0) return a+b+mod;
return a+b;
}
inline int poww(int n,int k){
int c = 1;
while (k){
if (k&1) c = (1ll*c*n)%mod;
n = (1ll*n*n)%mod;
k >>= 1;
}
return c;
}
ll dp[N][40];
vector<int> adj[N];
int c[N];
int main(){
ios :: sync_with_stdio(0); cin.tie(0);cout.tie(0);
int n,m,k;
cin >> n >> m >> k;
rep(i,1,n+1){
cin >> c[i];
c[i]--;
}
rep(i,0,m){
int u,v;
cin >> v >> u;
adj[u].pb(v);
adj[v].pb(u);
}
int y = (1 << k);
rep(i,1,n+1) dp[i][(1 << c[i])] = 1;
ll ans = 0;
rep(j,1,y){
rep(i,1,n+1){
if ((j&(1 << c[i])) == 0) continue;
int x = j-(1<< c[i]);
if (!x) continue;
for (int u : adj[i])
dp[i][j] += dp[u][x];
ans += dp[i][j];
}
}
cout << ans;
return 0;
}
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