oj.uz

Submission #646001

# Submission time Handle Problem Language Result Execution time Memory
646001 2022-09-28T13:18:29 Z Alex_tz307 Paths (RMI21_paths) C++17
100 / 100
 389 ms 27964 KB 
#include <bits/stdc++.h>

using namespace std;

const int kN = 1e5;
int n, k;
int64_t sumK, sol[1 + kN];
pair<int64_t, int> dmax[1 + kN];
vector<pair<int, int>> g[1 + kN];
set<pair<int64_t, int>> paths[1 + kN];
multiset<int64_t> low, big;

void fix() {
  while ((int)big.size() < k && !low.empty()) {
    auto it = --low.end();
    big.emplace(*it);
    sumK += *it;
    low.erase(it);
  }

  if (low.empty() || big.empty()) {
    return;
  }

  int64_t last = *(--low.end()), first = *big.begin();
  while (first < last) {
    big.erase(big.begin());
    low.erase(--low.end());
    low.emplace(first);
    sumK -= first;
    big.emplace(last);
    sumK += last;
    last = *(--low.end());
    first = *big.begin();
  }
}

void add(int64_t x) {
  if ((int)big.size() < k) {
    big.emplace(x);
    sumK += x;
  } else {
    low.emplace(x);
    fix();
  }
}

void rem(int64_t x) {
  if (low.count(x)) {
    low.erase(low.find(x));
  } else {
    big.erase(big.find(x));
    sumK -= x;
    fix();
  }
}

void dfs1(int u, int par) {
  for (auto it : g[u]) {
    int v, w;
    tie(v, w) = it;

    if (v != par) {
      dfs1(v, u);

      if (paths[v].empty()) {
        paths[u].emplace(w, v);
      } else {
        paths[u].emplace((--paths[v].end())->first + w, v);
      }
    }
  }
}

void dfs2(int u, int par) {
  sol[u] = sumK;

  for (auto it : g[u]) {
    int v, w;
    tie(v, w) = it;

    if (v != par) {
      auto it1 = --paths[u].end();
      pair<int64_t, int> path1, path2{dmax[v].first + w, v}, removed{-1, -1};

      if (it1->second == v) {
        if ((int)paths[u].size() == 1) {
          path1 = {w, u};
        } else {
          auto it2 = --it1;
          path1 = {it2->first + w, u};
          removed = *it2;
        }
      } else {
        path1 = {it1->first + w, u};
        removed = *it1;
      }

      paths[v].emplace(path1);
      add(path1.first);

      if (removed.first != -1) {
        paths[u].erase(removed);
        rem(removed.first);
      }

      paths[u].erase(path2);
      rem(path2.first);
      paths[v].emplace(dmax[v]);
      add(dmax[v].first);

      dfs2(v, u);

      paths[v].erase(path1);
      rem(path1.first);

      if (removed.first != -1) {
        paths[u].emplace(removed);
        add(removed.first);
      }

      paths[u].emplace(path2);
      add(path2.first);
      paths[v].erase(dmax[v]);
      rem(dmax[v].first);
    }
  }
}

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr);

  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);
  }

  dfs1(1, 0);

  for (int i = 1; i <= n; ++i) {
    if (!paths[i].empty()) {
      auto it = *(--paths[i].end());
      dmax[i] = it;
      if (i != 1) {
        paths[i].erase(it);
      }
    }

    for (auto it : paths[i]) {
      add(it.first);
    }
  }

  dfs2(1, 0);

  for (int i = 1; i <= n; ++i) {
    cout << sol[i] << '\n';
  }

  return 0;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 7380 KB Output is correct
2 Correct 4 ms 7380 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 7380 KB Output is correct
2 Correct 4 ms 7380 KB Output is correct
3 Correct 6 ms 7380 KB Output is correct
4 Correct 5 ms 7372 KB Output is correct
5 Correct 4 ms 7380 KB Output is correct
6 Correct 4 ms 7380 KB Output is correct
7 Correct 4 ms 7372 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 7380 KB Output is correct
2 Correct 4 ms 7380 KB Output is correct
3 Correct 6 ms 7380 KB Output is correct
4 Correct 5 ms 7372 KB Output is correct
5 Correct 4 ms 7380 KB Output is correct
6 Correct 4 ms 7380 KB Output is correct
7 Correct 4 ms 7372 KB Output is correct
8 Correct 6 ms 7508 KB Output is correct
9 Correct 6 ms 7508 KB Output is correct
10 Correct 6 ms 7508 KB Output is correct
11 Correct 6 ms 7636 KB Output is correct
12 Correct 6 ms 7480 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 7380 KB Output is correct
2 Correct 4 ms 7380 KB Output is correct
3 Correct 6 ms 7380 KB Output is correct
4 Correct 5 ms 7372 KB Output is correct
5 Correct 4 ms 7380 KB Output is correct
6 Correct 4 ms 7380 KB Output is correct
7 Correct 4 ms 7372 KB Output is correct
8 Correct 6 ms 7508 KB Output is correct
9 Correct 6 ms 7508 KB Output is correct
10 Correct 6 ms 7508 KB Output is correct
11 Correct 6 ms 7636 KB Output is correct
12 Correct 6 ms 7480 KB Output is correct
13 Correct 9 ms 7644 KB Output is correct
14 Correct 8 ms 7776 KB Output is correct
15 Correct 10 ms 7640 KB Output is correct
16 Correct 8 ms 7740 KB Output is correct
17 Correct 7 ms 7636 KB Output is correct
18 Correct 7 ms 7636 KB Output is correct
19 Correct 8 ms 7640 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 322 ms 23448 KB Output is correct
2 Correct 294 ms 26956 KB Output is correct
3 Correct 201 ms 22608 KB Output is correct
4 Correct 326 ms 23756 KB Output is correct
5 Correct 293 ms 25048 KB Output is correct
6 Correct 325 ms 24148 KB Output is correct

Subtask #6
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 7380 KB Output is correct
2 Correct 4 ms 7380 KB Output is correct
3 Correct 6 ms 7380 KB Output is correct
4 Correct 5 ms 7372 KB Output is correct
5 Correct 4 ms 7380 KB Output is correct
6 Correct 4 ms 7380 KB Output is correct
7 Correct 4 ms 7372 KB Output is correct
8 Correct 6 ms 7508 KB Output is correct
9 Correct 6 ms 7508 KB Output is correct
10 Correct 6 ms 7508 KB Output is correct
11 Correct 6 ms 7636 KB Output is correct
12 Correct 6 ms 7480 KB Output is correct
13 Correct 9 ms 7644 KB Output is correct
14 Correct 8 ms 7776 KB Output is correct
15 Correct 10 ms 7640 KB Output is correct
16 Correct 8 ms 7740 KB Output is correct
17 Correct 7 ms 7636 KB Output is correct
18 Correct 7 ms 7636 KB Output is correct
19 Correct 8 ms 7640 KB Output is correct
20 Correct 322 ms 23448 KB Output is correct
21 Correct 294 ms 26956 KB Output is correct
22 Correct 201 ms 22608 KB Output is correct
23 Correct 326 ms 23756 KB Output is correct
24 Correct 293 ms 25048 KB Output is correct
25 Correct 325 ms 24148 KB Output is correct
26 Correct 340 ms 24196 KB Output is correct
27 Correct 328 ms 26732 KB Output is correct
28 Correct 352 ms 27208 KB Output is correct
29 Correct 206 ms 22864 KB Output is correct
30 Correct 350 ms 24188 KB Output is correct
31 Correct 328 ms 22548 KB Output is correct
32 Correct 389 ms 25376 KB Output is correct
33 Correct 334 ms 23996 KB Output is correct
34 Correct 192 ms 22784 KB Output is correct
35 Correct 367 ms 24272 KB Output is correct
36 Correct 310 ms 27964 KB Output is correct