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Submission #682553

# Submission time Handle Problem Language Result Execution time Memory
682553 2023-01-16T13:39:21 Z vjudge1 Parkovi (COCI22_parkovi) C++17
110 / 110
 947 ms 34428 KB 
#include <bits/stdc++.h>
 
using namespace std;
 
const int kN = 2e5;
const int64_t INF = 1e18L;
vector<pair<int, int>> g[1 + kN];
int N, depth[1 + kN], sol[kN];
bitset<1 + kN> mark, covered;
 
void maxSelf(int64_t &x, int64_t y) {
  if (x < y) {
    x = y;
  }
}
 
void minSelf(int64_t &x, int64_t y) {
  if (y < x) {
    x = y;
  }
}
 
int64_t dfs(int u, int par, int64_t radius) {
  if ((int)g[u].size() == 1 && par) {
    return 0;
  }
  int64_t mx = -INF, mn = INF;
  for (auto it : g[u]) {
    int v, w;
    tie(v, w) = it;
    if (v != par) {
      int64_t ret = dfs(v, u, radius);
      if (ret == 0 && covered[v]) { // v este acoperit si nimic din subarborele sau nu ma mai poate ajuta / incurca mai mult decat u
        maxSelf(mx, 0LL);
        minSelf(mn, 0LL);
        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, (int64_t)0); // aproape analog cu cazurile anterioare
        if (w <= radius) {
          covered[u] = true;
        }
      }
      maxSelf(mx, ret);
      minSelf(mn, ret);
    }
  }
  if (mx <= -mn) { // nodul de unde trebuie sa incep sa marchez din cauza lui mx(ca s-ar termina) va fi ori acoperit ori voi mai putea amana o eventuala marcare a sa datorita lui mn
    return mn;
  }
  return mx;
}
 
bool check(int64_t 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);
  }
  int64_t ans = 0, step = (1LL << 50);
  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';
}
 
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr);
  int tests = 1;
  for (int tc = 1; tc <= tests; ++tc) {
    testCase();
  }
  return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 3 ms 5076 KB Output is correct
4 Correct 3 ms 4948 KB Output is correct
5 Correct 2 ms 4948 KB Output is correct
6 Correct 3 ms 4948 KB Output is correct
7 Correct 2 ms 4948 KB Output is correct
8 Correct 3 ms 5076 KB Output is correct
9 Correct 3 ms 5076 KB Output is correct
10 Correct 3 ms 5032 KB Output is correct
11 Correct 3 ms 4948 KB Output is correct
12 Correct 3 ms 5076 KB Output is correct
13 Correct 2 ms 5032 KB Output is correct
14 Correct 3 ms 4948 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 321 ms 28616 KB Output is correct
2 Correct 399 ms 29172 KB Output is correct
3 Correct 174 ms 13072 KB Output is correct
4 Correct 857 ms 12104 KB Output is correct
5 Correct 696 ms 15860 KB Output is correct
6 Correct 702 ms 15820 KB Output is correct
7 Correct 756 ms 14668 KB Output is correct
8 Correct 807 ms 15180 KB Output is correct
9 Correct 796 ms 15656 KB Output is correct
10 Correct 763 ms 15896 KB Output is correct
11 Correct 602 ms 17664 KB Output is correct
12 Correct 544 ms 17868 KB Output is correct
13 Correct 625 ms 19020 KB Output is correct
14 Correct 534 ms 16460 KB Output is correct
15 Correct 568 ms 15944 KB Output is correct
16 Correct 562 ms 17196 KB Output is correct
17 Correct 553 ms 16588 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 378 ms 29500 KB Output is correct
2 Correct 342 ms 28796 KB Output is correct
3 Correct 363 ms 27664 KB Output is correct
4 Correct 355 ms 27644 KB Output is correct
5 Correct 377 ms 30328 KB Output is correct
6 Correct 383 ms 29676 KB Output is correct
7 Correct 406 ms 30864 KB Output is correct
8 Correct 420 ms 29756 KB Output is correct
9 Correct 352 ms 29508 KB Output is correct
10 Correct 356 ms 29048 KB Output is correct
11 Correct 333 ms 28156 KB Output is correct
12 Correct 399 ms 31308 KB Output is correct
13 Correct 417 ms 31192 KB Output is correct
14 Correct 436 ms 30236 KB Output is correct
15 Correct 346 ms 29008 KB Output is correct
16 Correct 323 ms 28032 KB Output is correct
17 Correct 323 ms 27848 KB Output is correct
18 Correct 353 ms 29300 KB Output is correct
19 Correct 345 ms 29616 KB Output is correct
20 Correct 368 ms 30188 KB Output is correct
21 Correct 344 ms 29340 KB Output is correct

Subtask #4
60.0 / 60.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 3 ms 5076 KB Output is correct
4 Correct 3 ms 4948 KB Output is correct
5 Correct 2 ms 4948 KB Output is correct
6 Correct 3 ms 4948 KB Output is correct
7 Correct 2 ms 4948 KB Output is correct
8 Correct 3 ms 5076 KB Output is correct
9 Correct 3 ms 5076 KB Output is correct
10 Correct 3 ms 5032 KB Output is correct
11 Correct 3 ms 4948 KB Output is correct
12 Correct 3 ms 5076 KB Output is correct
13 Correct 2 ms 5032 KB Output is correct
14 Correct 3 ms 4948 KB Output is correct
15 Correct 321 ms 28616 KB Output is correct
16 Correct 399 ms 29172 KB Output is correct
17 Correct 174 ms 13072 KB Output is correct
18 Correct 857 ms 12104 KB Output is correct
19 Correct 696 ms 15860 KB Output is correct
20 Correct 702 ms 15820 KB Output is correct
21 Correct 756 ms 14668 KB Output is correct
22 Correct 807 ms 15180 KB Output is correct
23 Correct 796 ms 15656 KB Output is correct
24 Correct 763 ms 15896 KB Output is correct
25 Correct 602 ms 17664 KB Output is correct
26 Correct 544 ms 17868 KB Output is correct
27 Correct 625 ms 19020 KB Output is correct
28 Correct 534 ms 16460 KB Output is correct
29 Correct 568 ms 15944 KB Output is correct
30 Correct 562 ms 17196 KB Output is correct
31 Correct 553 ms 16588 KB Output is correct
32 Correct 378 ms 29500 KB Output is correct
33 Correct 342 ms 28796 KB Output is correct
34 Correct 363 ms 27664 KB Output is correct
35 Correct 355 ms 27644 KB Output is correct
36 Correct 377 ms 30328 KB Output is correct
37 Correct 383 ms 29676 KB Output is correct
38 Correct 406 ms 30864 KB Output is correct
39 Correct 420 ms 29756 KB Output is correct
40 Correct 352 ms 29508 KB Output is correct
41 Correct 356 ms 29048 KB Output is correct
42 Correct 333 ms 28156 KB Output is correct
43 Correct 399 ms 31308 KB Output is correct
44 Correct 417 ms 31192 KB Output is correct
45 Correct 436 ms 30236 KB Output is correct
46 Correct 346 ms 29008 KB Output is correct
47 Correct 323 ms 28032 KB Output is correct
48 Correct 323 ms 27848 KB Output is correct
49 Correct 353 ms 29300 KB Output is correct
50 Correct 345 ms 29616 KB Output is correct
51 Correct 368 ms 30188 KB Output is correct
52 Correct 344 ms 29340 KB Output is correct
53 Correct 738 ms 16136 KB Output is correct
54 Correct 781 ms 16532 KB Output is correct
55 Correct 860 ms 16948 KB Output is correct
56 Correct 823 ms 16696 KB Output is correct
57 Correct 874 ms 17356 KB Output is correct
58 Correct 796 ms 16228 KB Output is correct
59 Correct 892 ms 18588 KB Output is correct
60 Correct 813 ms 15496 KB Output is correct
61 Correct 690 ms 14548 KB Output is correct
62 Correct 733 ms 15472 KB Output is correct
63 Correct 895 ms 15552 KB Output is correct
64 Correct 747 ms 16788 KB Output is correct
65 Correct 793 ms 15956 KB Output is correct
66 Correct 833 ms 16432 KB Output is correct
67 Correct 794 ms 15316 KB Output is correct
68 Correct 947 ms 18028 KB Output is correct
69 Correct 347 ms 33384 KB Output is correct
70 Correct 335 ms 31228 KB Output is correct
71 Correct 405 ms 34428 KB Output is correct
72 Correct 170 ms 16956 KB Output is correct
73 Correct 146 ms 15924 KB Output is correct
74 Correct 171 ms 16964 KB Output is correct
75 Correct 586 ms 18252 KB Output is correct
76 Correct 628 ms 17292 KB Output is correct
77 Correct 611 ms 17428 KB Output is correct
78 Correct 730 ms 17160 KB Output is correct