#include <bits/stdc++.h>
#define int long long
using namespace std;
const int kN = 2e5;
const int INF = 1e18L;
vector<pair<int, int>> g[1 + kN];
int N, depth[1 + kN], sol[kN];
bitset<1 + kN> mark, covered;
void maxSelf(int &x, int y) {
if (x < y) {
x = y;
}
}
void minSelf(int &x, int y) {
if (y < x) {
x = y;
}
}
int dfs(int u, int par, int radius) {
if ((int)g[u].size() == 1 && par) {
return 0;
}
int mx = -INF, mn = INF;
for (auto it : g[u]) {
int v, w;
tie(v, w) = it;
if (v != par) {
int ret = dfs(v, u, radius);
if (ret == 0 && covered[v]) { // v este acoperit si nimic din subarborele sau nu ma mai poate ajuta mai mult decat u
maxSelf(mx, 0);
minSelf(mn, 0);
continue;
}
if (ret < 0 && ret + w <= 0) { // u este acoperit
covered[u] = true;
}
if (ret < 0 && ret + w > 0) { // v sigur e acoperit si incepand de la u nu se mai acopera nimic nou, deci "resetez"
ret = 0;
} else { // creste distanta fata de ultimul nod marcat si mai mult
ret += w;
}
if (ret > radius) { // trebuie sa il marchez pe v acum ca sa acopere alte noduri nemarcate, pentru ca deja u nu poate ajuta
sol[N++] = v;
mark[v] = true;
covered[v] = true;
ret = min(-radius + w, 0LL); // aproape analog cu cazurile anterioare
if (w <= radius) {
covered[u] = true;
}
}
maxSelf(mx, ret);
minSelf(mn, ret);
}
}
if (mx <= -mn) {
return mn;
}
return mx;
}
bool check(int m, int k) {
N = 0;
mark.reset();
covered.reset();
if (dfs(1, 0, m) > 0) {
sol[N++] = 1;
mark[1] = true;
} else if (!covered[1]) {
sol[N++] = 1;
mark[1] = true;
}
return N <= k;
}
void testCase() {
int n, k;
cin >> n >> k;
for (int i = 1; i < n; ++i) {
int u, v, w;
cin >> u >> v >> w;
g[u].emplace_back(v, w);
g[v].emplace_back(u, w);
}
int ans = 0, step = (1LL << 60);
while (step) {
if (!check(ans | step, k)) {
ans |= step;
}
step /= 2;
}
ans += 1;
check(ans, k);
for (int v = 1; v <= n && N < k; ++v) {
if (!mark[v]) {
sol[N++] = v;
}
}
cout << ans << '\n';
for (int i = 0; i < k; ++i) {
cout << sol[i] << ' ';
}
cout << '\n';
}
int32_t main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int tests = 1;
for (int tc = 1; tc <= tests; ++tc) {
testCase();
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
4948 KB |
Output is correct |
2 |
Correct |
3 ms |
4948 KB |
Output is correct |
3 |
Correct |
3 ms |
4948 KB |
Output is correct |
4 |
Correct |
3 ms |
5076 KB |
Output is correct |
5 |
Correct |
3 ms |
4948 KB |
Output is correct |
6 |
Correct |
3 ms |
4948 KB |
Output is correct |
7 |
Correct |
3 ms |
4948 KB |
Output is correct |
8 |
Correct |
3 ms |
4948 KB |
Output is correct |
9 |
Correct |
3 ms |
4948 KB |
Output is correct |
10 |
Correct |
3 ms |
4948 KB |
Output is correct |
11 |
Correct |
3 ms |
4948 KB |
Output is correct |
12 |
Correct |
2 ms |
4948 KB |
Output is correct |
13 |
Correct |
2 ms |
4948 KB |
Output is correct |
14 |
Correct |
3 ms |
4948 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
421 ms |
34380 KB |
Output is correct |
2 |
Correct |
449 ms |
35240 KB |
Output is correct |
3 |
Correct |
211 ms |
19600 KB |
Output is correct |
4 |
Correct |
1101 ms |
18836 KB |
Output is correct |
5 |
Correct |
1032 ms |
18388 KB |
Output is correct |
6 |
Correct |
1111 ms |
18404 KB |
Output is correct |
7 |
Correct |
1025 ms |
17204 KB |
Output is correct |
8 |
Correct |
1126 ms |
17860 KB |
Output is correct |
9 |
Correct |
1060 ms |
18352 KB |
Output is correct |
10 |
Correct |
1185 ms |
18552 KB |
Output is correct |
11 |
Correct |
842 ms |
20724 KB |
Output is correct |
12 |
Correct |
791 ms |
20864 KB |
Output is correct |
13 |
Correct |
888 ms |
22352 KB |
Output is correct |
14 |
Correct |
767 ms |
19304 KB |
Output is correct |
15 |
Correct |
781 ms |
18808 KB |
Output is correct |
16 |
Correct |
797 ms |
20532 KB |
Output is correct |
17 |
Correct |
783 ms |
19496 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
504 ms |
35768 KB |
Output is correct |
2 |
Correct |
473 ms |
39128 KB |
Output is correct |
3 |
Correct |
439 ms |
37376 KB |
Output is correct |
4 |
Correct |
418 ms |
37240 KB |
Output is correct |
5 |
Correct |
479 ms |
41220 KB |
Output is correct |
6 |
Correct |
500 ms |
40336 KB |
Output is correct |
7 |
Correct |
518 ms |
41988 KB |
Output is correct |
8 |
Correct |
492 ms |
39656 KB |
Output is correct |
9 |
Correct |
474 ms |
39364 KB |
Output is correct |
10 |
Correct |
441 ms |
38720 KB |
Output is correct |
11 |
Correct |
495 ms |
37464 KB |
Output is correct |
12 |
Correct |
484 ms |
41772 KB |
Output is correct |
13 |
Correct |
496 ms |
41764 KB |
Output is correct |
14 |
Correct |
487 ms |
40440 KB |
Output is correct |
15 |
Correct |
467 ms |
38040 KB |
Output is correct |
16 |
Correct |
423 ms |
36544 KB |
Output is correct |
17 |
Correct |
410 ms |
36300 KB |
Output is correct |
18 |
Correct |
439 ms |
38248 KB |
Output is correct |
19 |
Correct |
442 ms |
38860 KB |
Output is correct |
20 |
Correct |
448 ms |
39444 KB |
Output is correct |
21 |
Correct |
429 ms |
38480 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
4948 KB |
Output is correct |
2 |
Correct |
3 ms |
4948 KB |
Output is correct |
3 |
Correct |
3 ms |
4948 KB |
Output is correct |
4 |
Correct |
3 ms |
5076 KB |
Output is correct |
5 |
Correct |
3 ms |
4948 KB |
Output is correct |
6 |
Correct |
3 ms |
4948 KB |
Output is correct |
7 |
Correct |
3 ms |
4948 KB |
Output is correct |
8 |
Correct |
3 ms |
4948 KB |
Output is correct |
9 |
Correct |
3 ms |
4948 KB |
Output is correct |
10 |
Correct |
3 ms |
4948 KB |
Output is correct |
11 |
Correct |
3 ms |
4948 KB |
Output is correct |
12 |
Correct |
2 ms |
4948 KB |
Output is correct |
13 |
Correct |
2 ms |
4948 KB |
Output is correct |
14 |
Correct |
3 ms |
4948 KB |
Output is correct |
15 |
Correct |
421 ms |
34380 KB |
Output is correct |
16 |
Correct |
449 ms |
35240 KB |
Output is correct |
17 |
Correct |
211 ms |
19600 KB |
Output is correct |
18 |
Correct |
1101 ms |
18836 KB |
Output is correct |
19 |
Correct |
1032 ms |
18388 KB |
Output is correct |
20 |
Correct |
1111 ms |
18404 KB |
Output is correct |
21 |
Correct |
1025 ms |
17204 KB |
Output is correct |
22 |
Correct |
1126 ms |
17860 KB |
Output is correct |
23 |
Correct |
1060 ms |
18352 KB |
Output is correct |
24 |
Correct |
1185 ms |
18552 KB |
Output is correct |
25 |
Correct |
842 ms |
20724 KB |
Output is correct |
26 |
Correct |
791 ms |
20864 KB |
Output is correct |
27 |
Correct |
888 ms |
22352 KB |
Output is correct |
28 |
Correct |
767 ms |
19304 KB |
Output is correct |
29 |
Correct |
781 ms |
18808 KB |
Output is correct |
30 |
Correct |
797 ms |
20532 KB |
Output is correct |
31 |
Correct |
783 ms |
19496 KB |
Output is correct |
32 |
Correct |
504 ms |
35768 KB |
Output is correct |
33 |
Correct |
473 ms |
39128 KB |
Output is correct |
34 |
Correct |
439 ms |
37376 KB |
Output is correct |
35 |
Correct |
418 ms |
37240 KB |
Output is correct |
36 |
Correct |
479 ms |
41220 KB |
Output is correct |
37 |
Correct |
500 ms |
40336 KB |
Output is correct |
38 |
Correct |
518 ms |
41988 KB |
Output is correct |
39 |
Correct |
492 ms |
39656 KB |
Output is correct |
40 |
Correct |
474 ms |
39364 KB |
Output is correct |
41 |
Correct |
441 ms |
38720 KB |
Output is correct |
42 |
Correct |
495 ms |
37464 KB |
Output is correct |
43 |
Correct |
484 ms |
41772 KB |
Output is correct |
44 |
Correct |
496 ms |
41764 KB |
Output is correct |
45 |
Correct |
487 ms |
40440 KB |
Output is correct |
46 |
Correct |
467 ms |
38040 KB |
Output is correct |
47 |
Correct |
423 ms |
36544 KB |
Output is correct |
48 |
Correct |
410 ms |
36300 KB |
Output is correct |
49 |
Correct |
439 ms |
38248 KB |
Output is correct |
50 |
Correct |
442 ms |
38860 KB |
Output is correct |
51 |
Correct |
448 ms |
39444 KB |
Output is correct |
52 |
Correct |
429 ms |
38480 KB |
Output is correct |
53 |
Correct |
1099 ms |
18716 KB |
Output is correct |
54 |
Correct |
1107 ms |
19116 KB |
Output is correct |
55 |
Correct |
1232 ms |
19812 KB |
Output is correct |
56 |
Correct |
1147 ms |
19468 KB |
Output is correct |
57 |
Correct |
1180 ms |
20516 KB |
Output is correct |
58 |
Correct |
1085 ms |
18848 KB |
Output is correct |
59 |
Correct |
1244 ms |
22180 KB |
Output is correct |
60 |
Correct |
1186 ms |
18252 KB |
Output is correct |
61 |
Correct |
1030 ms |
17080 KB |
Output is correct |
62 |
Correct |
1051 ms |
18564 KB |
Output is correct |
63 |
Correct |
1167 ms |
18252 KB |
Output is correct |
64 |
Correct |
1131 ms |
20164 KB |
Output is correct |
65 |
Correct |
1141 ms |
18656 KB |
Output is correct |
66 |
Correct |
1135 ms |
19420 KB |
Output is correct |
67 |
Correct |
1063 ms |
17812 KB |
Output is correct |
68 |
Correct |
1238 ms |
21816 KB |
Output is correct |
69 |
Correct |
469 ms |
39400 KB |
Output is correct |
70 |
Correct |
421 ms |
37020 KB |
Output is correct |
71 |
Correct |
501 ms |
41020 KB |
Output is correct |
72 |
Correct |
190 ms |
18804 KB |
Output is correct |
73 |
Correct |
188 ms |
17580 KB |
Output is correct |
74 |
Correct |
203 ms |
18856 KB |
Output is correct |
75 |
Correct |
781 ms |
21404 KB |
Output is correct |
76 |
Correct |
844 ms |
20496 KB |
Output is correct |
77 |
Correct |
799 ms |
20676 KB |
Output is correct |
78 |
Correct |
815 ms |
20568 KB |
Output is correct |