#include <bits/stdc++.h>
using namespace std;
#define int long long
#define ll long long
#define ld long double
#define all(v) v.begin(),v.end()
#define ar array
const int M = 1e6;
const int N = 4e5 + 20;
const int LOG = 61;
const int INF = 1e18;
const int MOD = 1e9 + 7;
const ld EPS = 1e-9;
inline void mm(int &x){x = (x % MOD + MOD) % MOD;}
inline void chmin(int &x, int y){x = min(x, y);}
inline void chmax(int &x, int y){x = max(x, y);}
#pragma GCC optimize("unroll-loops,O3")
void orz(){
int n, m, k;
cin>>n>>m>>k;
int dp[n][1 << k];
memset(dp, 0, sizeof dp);
int A[n];
for(int i = 0;i < n;i++){
cin>>A[i];
--A[i];
dp[i][1 << A[i]] = 1;
}
vector<int> g[n];
while(m--){
int a, b;
cin>>a>>b;
--a, --b;
g[a].push_back(b);
g[b].push_back(a);
}
for(int msk = 0;msk < (1 << k);msk++){
for(int x = 0;x < n;x++){
for(auto u: g[x]){
if(msk & (1 << A[u]))continue;
dp[u][msk ^ (1 << A[u])] += dp[x][msk];
}
}
}
int ans = 0;
for(int i = 0;i < n;i++){
for(int j = 0;j < (1 << k);j++)ans += dp[i][j];
}
cout<<ans - n;
}
signed main(){ios_base::sync_with_stdio(false);cin.tie(0);
int t = 1;
//cin>>t;
while(t--)orz();
}
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