This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize("O3", "unroll-loops") // "Ofast"
#pragma GCC target("avx2", "bmi", "bmi2", "lzcnt", "popcnt")
#include <bits/stdc++.h>
#define int long long
#define vt vector
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define sz(x) (int)(x).size()
#define f first
#define s second
#define dbg(x) cerr << #x << " = " << x << '\n'
#define bit(x, i) ((x) >> (i) & 1)
using namespace std;
using ll = long long;
using ld = long double;
using pii = pair<int, int>;
const int N = 1e6 + 5, mod = 10056;
const ll inf = 1e18;
const ld eps = 1e-6;
ll add (ll a, ll b) {
a += b;
if (a < 0) a += mod;
if (a >= mod) a -= mod;
return a;
}
ll mul (ll a, ll b) {
a *= b;
if (a >= mod) a %= mod;
return a;
}
int n, m, k, a[N], dp[N][40];
vt<int> g[N];
void solve () {
cin >> n >> m >> k;
for (int i = 1; i <= n; i++) cin >> a[i], a[i]--, dp[i][1 << a[i]]++;
for (int i = 1; i <= m; i++) {
int x, y;
cin >> x >> y;
g[x].pb(y), g[y].pb(x);
}
int ans = 0;
for (int mask = 0; mask < (1 << k); mask++) {
for (int i = 1; i <= n; i++) {
for (int j: g[i]) {
if (bit(mask, a[j])) continue;
int nmask = mask ^ (1 << a[j]);
dp[j][nmask] += dp[i][mask];
}
}
}
for (int mask = 0; mask < (1 << k); mask++) {
if (__builtin_popcountll(mask) < 2) continue;
for (int i = 1; i <= n; i++) ans += dp[i][mask];
}
cout << ans;
cout << '\n';
}
bool testcases = 0;
signed main() {
cin.tie(0) -> sync_with_stdio(0);
int test = 1;
if (testcases) cin >> test;
for (int cs = 1; cs <= test; cs++) {
solve();
}
}
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