#include <bits/stdc++.h>
/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
*/
using namespace std;
// using namespace __gnu_pbds;
using namespace chrono;
// mt19937 rng((int) std::chrono::steady_clock::now().time_since_epoch().count());
/*
template <class T> using ordered_set = tree <T, null_type, less <T>, rb_tree_tag, tree_order_statistics_node_update>;
*/
//***************** CONSTANTS *****************
const int MXN = 300001;
//***************** GLOBAL VARIABLES *****************
int N, M, K;
vector<int> g[MXN];
int a[MXN];
int64_t dp[MXN][32];
//***************** AUXILIARY STRUCTS *****************
//***************** MAIN BODY *****************
void solve(){
cin >> N >> M >> K;
for(int i = 1; i <= N; i++){
cin >> a[i];
--a[i];
}
for(int i = 0; i < M; i++){
int u, v;
cin >> u >> v;
g[u].push_back(v);
g[v].push_back(u);
}
int64_t ans = 0;
for(int mask = 1; mask < (1 << K); mask++){
for(int u = 1; u <= N; u++){
if(!(mask & (1 << a[u])))
continue;
if(__builtin_popcount(mask) == 1) dp[u][mask]++;
for(int v : g[u])
if(a[u] != a[v])
dp[u][mask] += dp[v][mask ^ (1 << a[u])];
ans += dp[u][mask];
}
}
cout << ans - N << '\n';
}
//***************** *****************
int32_t main(){
ios_base::sync_with_stdio(NULL);
cin.tie(NULL);
#ifdef LOCAL
auto begin = high_resolution_clock::now();
#endif
int tc = 1;
// cin >> tc;
for (int t = 0; t < tc; t++)
solve();
#ifdef LOCAL
auto end = high_resolution_clock::now();
cout << fixed << setprecision(4);
cout << "Execution Time: " << duration_cast<duration<double>>(end - begin).count() << "seconds" << endl;
#endif
return 0;
}
/*
If code gives a WA, check for the following :
1. I/O format
2. Are you clearing all global variables in between tests if multitests are a thing
3. Can you definitively prove the logic
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
7500 KB |
Output is correct |
2 |
Correct |
4 ms |
7372 KB |
Output is correct |
3 |
Correct |
4 ms |
7372 KB |
Output is correct |
4 |
Correct |
5 ms |
7372 KB |
Output is correct |
5 |
Correct |
4 ms |
7372 KB |
Output is correct |
6 |
Correct |
5 ms |
7372 KB |
Output is correct |
7 |
Correct |
4 ms |
7372 KB |
Output is correct |
8 |
Correct |
5 ms |
7372 KB |
Output is correct |
9 |
Correct |
5 ms |
7244 KB |
Output is correct |
10 |
Correct |
5 ms |
7244 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
95 ms |
12244 KB |
Output is correct |
2 |
Correct |
76 ms |
11080 KB |
Output is correct |
3 |
Correct |
505 ms |
95736 KB |
Output is correct |
4 |
Correct |
160 ms |
22668 KB |
Output is correct |
5 |
Correct |
117 ms |
22748 KB |
Output is correct |
6 |
Correct |
337 ms |
69436 KB |
Output is correct |
7 |
Correct |
542 ms |
96448 KB |
Output is correct |
8 |
Correct |
546 ms |
97300 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
7500 KB |
Output is correct |
2 |
Correct |
4 ms |
7372 KB |
Output is correct |
3 |
Correct |
4 ms |
7372 KB |
Output is correct |
4 |
Correct |
5 ms |
7372 KB |
Output is correct |
5 |
Correct |
4 ms |
7372 KB |
Output is correct |
6 |
Correct |
5 ms |
7372 KB |
Output is correct |
7 |
Correct |
4 ms |
7372 KB |
Output is correct |
8 |
Correct |
5 ms |
7372 KB |
Output is correct |
9 |
Correct |
5 ms |
7244 KB |
Output is correct |
10 |
Correct |
5 ms |
7244 KB |
Output is correct |
11 |
Correct |
95 ms |
12244 KB |
Output is correct |
12 |
Correct |
76 ms |
11080 KB |
Output is correct |
13 |
Correct |
505 ms |
95736 KB |
Output is correct |
14 |
Correct |
160 ms |
22668 KB |
Output is correct |
15 |
Correct |
117 ms |
22748 KB |
Output is correct |
16 |
Correct |
337 ms |
69436 KB |
Output is correct |
17 |
Correct |
542 ms |
96448 KB |
Output is correct |
18 |
Correct |
546 ms |
97300 KB |
Output is correct |
19 |
Correct |
93 ms |
15100 KB |
Output is correct |
20 |
Correct |
75 ms |
13380 KB |
Output is correct |
21 |
Correct |
533 ms |
96536 KB |
Output is correct |
22 |
Correct |
132 ms |
22728 KB |
Output is correct |
23 |
Correct |
116 ms |
22752 KB |
Output is correct |
24 |
Correct |
366 ms |
69404 KB |
Output is correct |
25 |
Correct |
496 ms |
96508 KB |
Output is correct |
26 |
Correct |
540 ms |
97168 KB |
Output is correct |
27 |
Correct |
88 ms |
13380 KB |
Output is correct |
28 |
Correct |
122 ms |
16584 KB |
Output is correct |
29 |
Correct |
749 ms |
96512 KB |
Output is correct |
30 |
Correct |
443 ms |
55340 KB |
Output is correct |
31 |
Correct |
465 ms |
55344 KB |
Output is correct |
32 |
Correct |
760 ms |
96492 KB |
Output is correct |
33 |
Correct |
5 ms |
7372 KB |
Output is correct |
34 |
Correct |
5 ms |
7364 KB |
Output is correct |
35 |
Correct |
5 ms |
7372 KB |
Output is correct |
36 |
Correct |
5 ms |
7368 KB |
Output is correct |
37 |
Correct |
5 ms |
7372 KB |
Output is correct |
38 |
Correct |
5 ms |
7372 KB |
Output is correct |
39 |
Correct |
5 ms |
7364 KB |
Output is correct |
40 |
Correct |
5 ms |
7372 KB |
Output is correct |
41 |
Correct |
5 ms |
7372 KB |
Output is correct |
42 |
Correct |
5 ms |
7244 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
7244 KB |
Output is correct |
2 |
Correct |
36 ms |
8608 KB |
Output is correct |
3 |
Correct |
29 ms |
8540 KB |
Output is correct |
4 |
Correct |
156 ms |
35532 KB |
Output is correct |
5 |
Correct |
92 ms |
36228 KB |
Output is correct |
6 |
Correct |
322 ms |
35588 KB |
Output is correct |
7 |
Correct |
31 ms |
9288 KB |
Output is correct |
8 |
Correct |
229 ms |
36932 KB |
Output is correct |
9 |
Correct |
127 ms |
37696 KB |
Output is correct |
10 |
Correct |
187 ms |
37564 KB |
Output is correct |
11 |
Correct |
175 ms |
22964 KB |
Output is correct |
12 |
Correct |
162 ms |
30524 KB |
Output is correct |
13 |
Correct |
164 ms |
23104 KB |
Output is correct |
14 |
Correct |
350 ms |
37060 KB |
Output is correct |
15 |
Correct |
316 ms |
37136 KB |
Output is correct |
16 |
Correct |
5 ms |
7372 KB |
Output is correct |
17 |
Correct |
5 ms |
7372 KB |
Output is correct |
18 |
Correct |
5 ms |
7372 KB |
Output is correct |
19 |
Correct |
5 ms |
7372 KB |
Output is correct |
20 |
Correct |
5 ms |
7360 KB |
Output is correct |
21 |
Correct |
5 ms |
7372 KB |
Output is correct |
22 |
Correct |
5 ms |
7364 KB |
Output is correct |
23 |
Correct |
5 ms |
7364 KB |
Output is correct |
24 |
Correct |
5 ms |
7364 KB |
Output is correct |
25 |
Correct |
5 ms |
7372 KB |
Output is correct |