This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
///
/// Oh? You're approaching me?
///
#include <bits/stdc++.h>
#define Loop(x,l,r) for(ll x = ll(l); x < ll(r); ++x)
#define LoopR(x,l,r) for(ll x = ll(r)-1; x >= ll(l); --x)
#define Kill(x) exit((cout << (x) << '\n', 0))
typedef long long ll;
typedef std::pair<int,int> pii;
typedef std::pair<ll,ll> pll;
using namespace std;
const int N = 300010;
vector<int> A[N];
int c[N];
ll dp[32][N];
int n, m, k;
int main()
{
cin.tie(0) -> sync_with_stdio(false);
cin >> n >> m >> k;
Loop(i,0,n) cin >> c[i], c[i]=1<<(c[i]-1);
Loop(i,0,m){
int v, u;
cin >> v >> u;
--v; --u;
A[v].push_back(u);
A[u].push_back(v);
}
Loop(i,0,n) dp[c[i]][i]=1;
Loop(msk,1,1<<k){
if(__builtin_popcount(msk)==1) continue;
Loop(v,0,n) {
if((msk|c[v]) != msk) continue;
for(int u : A[v])
dp[msk][v] += dp[msk^c[v]][u];
}
}
ll ans = 0;
Loop(msk,1,1<<k) Loop(i,0,n)
ans += dp[msk][i];
cout << ans-n << '\n';
}
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