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 ll long long
#define ld long double
#define all(a) (a).begin(), (a).end()
#pragma GCC optimize("O3")
#pragma GCC optimize("Ofast")
#define fr first
#define sc second
#define int long long
#define mp make_pair
#define rc(s) return cout<<s,0
#define rcc(s) cout<<s,exit(0)
const int nmax = 300005;
const int mask = (1 << 5);
int n,m,k,dp[nmax][mask],tz[nmax][mask],color[nmax],ans;
vector<int>nod[nmax];
int32_t main(){
ios_base::sync_with_stdio(false);cin.tie(0);cerr.tie(0);cout.tie(0);
srand(chrono::steady_clock::now().time_since_epoch().count());
// freopen("input.in","r",stdin);
cin >> n >> m >> k;
for(int i=1;i<=n;i++){
cin >> color[i];
dp[i][1 << (color[i] - 1)] = 1;
}
for(int i=1;i<=m;i++){
int x,y;
cin >> x >> y;
nod[x].push_back(y);
nod[y].push_back(x);
}
for(int i=2;i<=k;i++){
for(int j=1;j<=n;j++){
for(int t=1;t<(1 << k);t++){
tz[j][t] = dp[j][t];
dp[j][t] = 0;
}
}
for(int j=1;j<=n;j++){
for(auto it : nod[j]){
for(int t=1;t<(1<<k);t++){
if((t&(1<<(color[j] - 1))) == 0){
dp[j][t^(1<<(color[j]-1))] += tz[it][t];
}
}
}
}
for(int j=1;j<=n;j++){
for(int t=1;t<(1<<k);t++){
ans += dp[j][t];
}
}
}
cout << ans << '\n';
}
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