/**
_ _ __ _ _ _ _ _ _
|a ||t ||o d | |o |
| __ _| | _ | __| _ |
| __ |/_ | __ /__\ / _\|
**/
#include <bits/stdc++.h>
#define int long long
using namespace std;
typedef long long ll;
const int N_MAX = 200000;
const int M_MAX = 400000;
int N, M, Q;
int S[N_MAX + 2];
int edge_u[M_MAX + 2], edge_v[M_MAX + 2];
int order[M_MAX + 2];
int leader[N_MAX + 2];
int find_leader (int u) {
return (leader[u] == 0 ? u : leader[u] = find_leader(leader[u]));
}
bool join (int u, int v) {
u = find_leader(u);
v = find_leader(v);
if (u != v) {
leader[u] = v;
return true;
}
return false;
}
vector <int> adj[N_MAX + 2];
int root;
ll cost;
void init () {
int mx = 0;
for (int u = 1; u <= N; u++) {
cost -= S[u];
mx = max(mx, S[u]);
}
cost += mx;
root = 1;
for (int u = 2; u <= N; u++) {
if (S[u] < S[root]) {
root = u;
}
}
for (int u = 1; u <= N; u++) {
if (u != root) {
cost += S[u] + S[root];
}
}
}
ll answer[N_MAX + 2];
set <tuple <int, int, int>> st;
int min_comp[N_MAX + 2];
vector <int> comp[N_MAX + 2];
signed main () {
ios_base::sync_with_stdio(false);
cin.tie(0);
cin >> N >> M >> Q;
for (int u = 1; u <= N; u++) {
cin >> S[u];
}
for (int i = 1; i <= M; i++) {
cin >> edge_u[i] >> edge_v[i];
}
iota(order + 1, order + M + 1, 1);
sort(order + 1, order + M + 1, [&] (const int &i, const int &j) {
return S[edge_u[i]] + S[edge_v[i]] < S[edge_u[j]] + S[edge_v[j]];
});
for (int _ = 1; _ <= M; _++) {
int i = order[_];
if (join(edge_u[i], edge_v[i]) == true) {
adj[edge_u[i]].push_back(edge_v[i]);
adj[edge_v[i]].push_back(edge_u[i]);
}
}
init();
for (int i = N - 1; i <= Q; i++) {
answer[i] = cost;
}
fill(leader + 1, leader + N + 1, 0);
for (int u = 1; u <= N; u++) {
min_comp[u] = S[u];
comp[u] = {u};
}
for (int u = 1; u <= N; u++) {
for (int v : adj[u]) {
if (u < v) {
st.insert(make_tuple(S[u] + S[v] - max(S[u], S[v]), u, v));
}
}
}
for (int k = N - 2; k >= 0; k--) {
int delta, u, v; tie(delta, u, v) = *st.begin();
st.erase(st.begin());
cost += delta;
cost -= S[root];
answer[k] = cost;
u = find_leader(u); v = find_leader(v);
if (min_comp[u] < min_comp[v]) {
swap(u, v);
}
while (comp[u].empty() == false) {
int x = comp[u].back();
comp[u].pop_back();
comp[v].push_back(x);
for (int y : adj[x]) {
set <tuple <int, int, int>> :: iterator it
= st.find(make_tuple(S[x] + S[y] - max(min_comp[u], min_comp[y]), min(x, y), max(x, y)));
if (it != st.end()) {
st.erase(it);
st.insert(make_tuple(S[x] + S[y] - max(min_comp[v], min_comp[y]), min(x, y), max(x, y)));
}
}
min_comp[x] = min_comp[v];
}
leader[u] = v;
}
for (int i = 0; i <= Q; i++) {
cout << answer[i] << "\n";
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
21084 KB |
Output is correct |
2 |
Execution timed out |
4091 ms |
319568 KB |
Time limit exceeded |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
21084 KB |
Output is correct |
2 |
Execution timed out |
4091 ms |
319568 KB |
Time limit exceeded |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
21084 KB |
Output is correct |
2 |
Execution timed out |
4091 ms |
319568 KB |
Time limit exceeded |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
21084 KB |
Output is correct |
2 |
Execution timed out |
4091 ms |
319568 KB |
Time limit exceeded |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
21084 KB |
Output is correct |
2 |
Correct |
4 ms |
21084 KB |
Output is correct |
3 |
Correct |
4 ms |
21084 KB |
Output is correct |
4 |
Correct |
3 ms |
21084 KB |
Output is correct |
5 |
Correct |
3 ms |
21084 KB |
Output is correct |
6 |
Correct |
5 ms |
20928 KB |
Output is correct |
7 |
Correct |
4 ms |
21080 KB |
Output is correct |
8 |
Correct |
20 ms |
23132 KB |
Output is correct |
9 |
Correct |
16 ms |
23292 KB |
Output is correct |
10 |
Correct |
16 ms |
23124 KB |
Output is correct |
11 |
Correct |
16 ms |
23128 KB |
Output is correct |
12 |
Correct |
20 ms |
23128 KB |
Output is correct |
13 |
Correct |
16 ms |
23132 KB |
Output is correct |
14 |
Correct |
16 ms |
23124 KB |
Output is correct |
15 |
Correct |
17 ms |
23132 KB |
Output is correct |
16 |
Correct |
16 ms |
23132 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
21084 KB |
Output is correct |
2 |
Correct |
4 ms |
21084 KB |
Output is correct |
3 |
Correct |
4 ms |
21084 KB |
Output is correct |
4 |
Correct |
3 ms |
21084 KB |
Output is correct |
5 |
Correct |
3 ms |
21084 KB |
Output is correct |
6 |
Correct |
5 ms |
20928 KB |
Output is correct |
7 |
Correct |
4 ms |
21080 KB |
Output is correct |
8 |
Correct |
20 ms |
23132 KB |
Output is correct |
9 |
Correct |
16 ms |
23292 KB |
Output is correct |
10 |
Correct |
16 ms |
23124 KB |
Output is correct |
11 |
Correct |
16 ms |
23128 KB |
Output is correct |
12 |
Correct |
20 ms |
23128 KB |
Output is correct |
13 |
Correct |
16 ms |
23132 KB |
Output is correct |
14 |
Correct |
16 ms |
23124 KB |
Output is correct |
15 |
Correct |
17 ms |
23132 KB |
Output is correct |
16 |
Correct |
16 ms |
23132 KB |
Output is correct |
17 |
Correct |
24 ms |
23900 KB |
Output is correct |
18 |
Correct |
24 ms |
23900 KB |
Output is correct |
19 |
Correct |
37 ms |
28752 KB |
Output is correct |
20 |
Correct |
61 ms |
29520 KB |
Output is correct |
21 |
Correct |
69 ms |
29832 KB |
Output is correct |
22 |
Correct |
57 ms |
29548 KB |
Output is correct |
23 |
Correct |
121 ms |
31504 KB |
Output is correct |
24 |
Correct |
78 ms |
30092 KB |
Output is correct |
25 |
Correct |
21 ms |
23888 KB |
Output is correct |
26 |
Correct |
50 ms |
29196 KB |
Output is correct |
27 |
Correct |
24 ms |
24148 KB |
Output is correct |
28 |
Correct |
249 ms |
33872 KB |
Output is correct |
29 |
Correct |
20 ms |
23640 KB |
Output is correct |
30 |
Correct |
98 ms |
27512 KB |
Output is correct |
31 |
Correct |
17 ms |
22616 KB |
Output is correct |
32 |
Correct |
17 ms |
22648 KB |
Output is correct |
33 |
Correct |
24 ms |
23888 KB |
Output is correct |
34 |
Correct |
22 ms |
24156 KB |
Output is correct |
35 |
Correct |
41 ms |
28752 KB |
Output is correct |
36 |
Correct |
112 ms |
31452 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
21084 KB |
Output is correct |
2 |
Execution timed out |
4091 ms |
319568 KB |
Time limit exceeded |
3 |
Halted |
0 ms |
0 KB |
- |