#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 = 10001;
//***************** GLOBAL VARIABLES *****************
int N, M, K;
vector<int> g[MXN];
int color[MXN];
int64_t dp[MXN];
//***************** AUXILIARY STRUCTS *****************
//***************** MAIN BODY *****************
int64_t process(int mask){
vector<int> col;
for(int i = 0; i < K; i++)
if((mask >> i) & 1)
col.push_back(i+1);
assert(col.size() >= 2);
int64_t ans = 0;
do{
memset(dp, 0, sizeof dp);
set<int> s[2];
for(int i = 1; i <= N; i++)
if(color[i] == col[0]){
dp[i] = 1;
s[0].insert(i);
}
for(int idx = 1; idx < col.size(); idx++){
int t = (idx & 1);
int o = t ^ 1;
for(int u : s[o])
for(int v : g[u]){
if(color[v] == col[idx]){
dp[v] += dp[u];
s[t].insert(v);
}
}
s[o].clear();
}
for(int i = 1; i <= N; i++)
if(color[i] == col.back())
ans += dp[i];
}while(next_permutation(col.begin(), col.end()));
return ans;
}
void solve(){
cin >> N >> M >> K;
for(int i = 1; i <= N; i++)
cin >> color[i];
for(int i = 0; i < M; i++){
int u, v;
cin >> u >> v;
g[u].push_back(v);
g[v].push_back(u);
}
// for(int i = 1; i <= N; i++)
// g[0].push_back(i);
int64_t ans = 0;
for(int mask = 0; mask < (1 << K); mask++){
if(__builtin_popcount(mask) >= 2)
ans += process(mask);
}
cout << ans << '\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
*/
Compilation message
paths.cpp: In function 'int64_t process(int)':
paths.cpp:53:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
53 | for(int idx = 1; idx < col.size(); idx++){
| ~~~~^~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
588 KB |
Output is correct |
2 |
Correct |
1 ms |
588 KB |
Output is correct |
3 |
Correct |
1 ms |
588 KB |
Output is correct |
4 |
Correct |
1 ms |
588 KB |
Output is correct |
5 |
Correct |
1 ms |
460 KB |
Output is correct |
6 |
Correct |
1 ms |
588 KB |
Output is correct |
7 |
Correct |
1 ms |
588 KB |
Output is correct |
8 |
Correct |
1 ms |
588 KB |
Output is correct |
9 |
Correct |
1 ms |
588 KB |
Output is correct |
10 |
Correct |
1 ms |
588 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
213 ms |
4388 KB |
Output is correct |
2 |
Correct |
151 ms |
6480 KB |
Output is correct |
3 |
Runtime error |
6 ms |
1344 KB |
Execution killed with signal 11 |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
588 KB |
Output is correct |
2 |
Correct |
1 ms |
588 KB |
Output is correct |
3 |
Correct |
1 ms |
588 KB |
Output is correct |
4 |
Correct |
1 ms |
588 KB |
Output is correct |
5 |
Correct |
1 ms |
460 KB |
Output is correct |
6 |
Correct |
1 ms |
588 KB |
Output is correct |
7 |
Correct |
1 ms |
588 KB |
Output is correct |
8 |
Correct |
1 ms |
588 KB |
Output is correct |
9 |
Correct |
1 ms |
588 KB |
Output is correct |
10 |
Correct |
1 ms |
588 KB |
Output is correct |
11 |
Correct |
213 ms |
4388 KB |
Output is correct |
12 |
Correct |
151 ms |
6480 KB |
Output is correct |
13 |
Runtime error |
6 ms |
1344 KB |
Execution killed with signal 11 |
14 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
588 KB |
Output is correct |
2 |
Correct |
523 ms |
2480 KB |
Output is correct |
3 |
Correct |
53 ms |
2472 KB |
Output is correct |
4 |
Runtime error |
7 ms |
1348 KB |
Execution killed with signal 11 |
5 |
Halted |
0 ms |
0 KB |
- |