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> //:3
using namespace std;
typedef long long ll;
#define all(a) (a).begin(), (a).end()
#define ff first
#define ss second
#define pb push_back
#define mp make_pair
#define pi pair<long double, long double>
#define sz(x) (int)((x).size())
#define int long long
const int dx[] = {0, 1, 0, -1};
const int dy[] = {1, 0, -1, 0};
const ll inf = 2e9;
const ll mod = 1e9 + 7;
const int N = 3e5 + 11;
const ll INF64 = 3e18 + 1;
const double eps = 1e-14;
const double PI = acos(-1);
//ifstream in(".in");
//ofstream out(".out");
int n, m, k, dp[N][35], c[N];
vector<int>v[N];
void solve(){
cin >> n >> m >> k;
for(int i = 1; i <= n; i++){
cin >> c[i];
c[i]--;
}
for(int i = 1; i <= n; i++){
dp[i][(1 << c[i])] = 1;
}
for(int i = 1, x, y; i <= m; i++){
cin >> x >> y;
v[x].push_back(y);
v[y].push_back(x);
}
for(int mask = 1; mask < (1 << k); mask++){
for(int i = 1; i <= n; i++){
if(!dp[i][mask])continue;
for(auto it : v[i]){
if(mask & (1 << c[it]))continue;
dp[it][mask | (1 << c[it])] += dp[i][mask];
}
}
}
int ans = 0;
for(int mask = 1; mask < (1 << k); mask++){
for(int i = 1; i <= n; i++){
ans += dp[i][mask];
}
}
cout << ans - n << '\n';
}
int32_t main(){
ios_base :: sync_with_stdio(0); cin.tie(0); cout.tie(0);
//cout << setprecision(6) << fixed;
int T = 1;
//cin >> T;
while(T--){
solve();
}
}
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