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;
void abc() {cout << endl;}
template <typename T, typename ...U> void abc(T a, U ...b) {
cout << a << ' ', abc(b...);
}
template <typename T> void printv(T l, T r) {
while (l != r) cout << *l << " \n"[++l == r];
}
template <typename A, typename B> istream& operator >> (istream& o, pair<A, B> &a) {
return o >> a.first >> a.second;
}
template <typename A, typename B> ostream& operator << (ostream& o, pair<A, B> a) {
return o << '(' << a.first << ", " << a.second << ')';
}
template <typename T> ostream& operator << (ostream& o, vector<T> a) {
bool is = false;
for (T i : a) {o << (is ? ' ' : '{'), is = true, o << i;}
return o << '}';
}
#ifdef local
#define test(args...) abc("[" + string(#args) + "]", args)
#else
#define test(args...) void(0)
#endif
using ll = long long;
int col[300005];
ll dp[300005][1 << 6];
vector<int> adj[300005];
ll total = 0;
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
// freopen("", "r", stdin);
// freopen("", "w", stdout);
int n, m, k; cin >> n >> m >> k;
for (int i = 1; i <= n; i++) {
cin >> col[i];
col[i]--; dp[i][1 << col[i]] = 1;
}
for (int i = 1; i <= m; i++) {
int a, b; cin >> a >> b;
adj[a].push_back(b);
adj[b].push_back(a);
}
for (int len = 2; len <= k; len++) {
for (int i = 1; i <= n; i++) {
int curcol = col[i];
for (auto nxt : adj[i]) {
for (int mask = 1; mask < (1 << 6); mask++) {
if (mask & (1 << curcol)) continue;
if (__builtin_popcount(mask) != (len - 1)) continue;
dp[i][mask | (1 << curcol)] += dp[nxt][mask];
total += dp[nxt][mask];
}
}
}
}
cout << total;
}
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