oj.uz

Submission #646007

# Submission time Handle Problem Language Result Execution time Memory
646007 2022-09-28T13:28:08 Z Alex_tz307 Paths (RMI21_paths) C++17
100 / 100
 449 ms 35220 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, 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) {
        rem(removed.first);
      }

      pair<int64_t, int> path2{dmax[v].first + w, v};
      rem(path2.first);
      paths[v].emplace(dmax[v]);
      add(dmax[v].first);

      dfs2(v, u);

      rem(path1.first);
      if (removed.first != -1) {
        add(removed.first);
      }

      add(path2.first);
      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);
    }

    while ((int)paths[i].size() > 2) {
      paths[i].erase(paths[i].begin());
    }
  }

  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 5 ms 7252 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 5 ms 7252 KB Output is correct
3 Correct 5 ms 7436 KB Output is correct
4 Correct 4 ms 7380 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 7380 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 5 ms 7252 KB Output is correct
3 Correct 5 ms 7436 KB Output is correct
4 Correct 4 ms 7380 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 7380 KB Output is correct
8 Correct 6 ms 7508 KB Output is correct
9 Correct 5 ms 7636 KB Output is correct
10 Correct 6 ms 7552 KB Output is correct
11 Correct 5 ms 7508 KB Output is correct
12 Correct 6 ms 7500 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 5 ms 7252 KB Output is correct
3 Correct 5 ms 7436 KB Output is correct
4 Correct 4 ms 7380 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 7380 KB Output is correct
8 Correct 6 ms 7508 KB Output is correct
9 Correct 5 ms 7636 KB Output is correct
10 Correct 6 ms 7552 KB Output is correct
11 Correct 5 ms 7508 KB Output is correct
12 Correct 6 ms 7500 KB Output is correct
13 Correct 7 ms 7764 KB Output is correct
14 Correct 8 ms 7968 KB Output is correct
15 Correct 8 ms 7764 KB Output is correct
16 Correct 9 ms 7828 KB Output is correct
17 Correct 11 ms 7764 KB Output is correct
18 Correct 6 ms 7764 KB Output is correct
19 Correct 8 ms 7764 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 306 ms 31972 KB Output is correct
2 Correct 298 ms 34648 KB Output is correct
3 Correct 214 ms 27792 KB Output is correct
4 Correct 298 ms 31508 KB Output is correct
5 Correct 323 ms 32984 KB Output is correct
6 Correct 302 ms 31100 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 5 ms 7252 KB Output is correct
3 Correct 5 ms 7436 KB Output is correct
4 Correct 4 ms 7380 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 7380 KB Output is correct
8 Correct 6 ms 7508 KB Output is correct
9 Correct 5 ms 7636 KB Output is correct
10 Correct 6 ms 7552 KB Output is correct
11 Correct 5 ms 7508 KB Output is correct
12 Correct 6 ms 7500 KB Output is correct
13 Correct 7 ms 7764 KB Output is correct
14 Correct 8 ms 7968 KB Output is correct
15 Correct 8 ms 7764 KB Output is correct
16 Correct 9 ms 7828 KB Output is correct
17 Correct 11 ms 7764 KB Output is correct
18 Correct 6 ms 7764 KB Output is correct
19 Correct 8 ms 7764 KB Output is correct
20 Correct 306 ms 31972 KB Output is correct
21 Correct 298 ms 34648 KB Output is correct
22 Correct 214 ms 27792 KB Output is correct
23 Correct 298 ms 31508 KB Output is correct
24 Correct 323 ms 32984 KB Output is correct
25 Correct 302 ms 31100 KB Output is correct
26 Correct 360 ms 32292 KB Output is correct
27 Correct 337 ms 34676 KB Output is correct
28 Correct 362 ms 35220 KB Output is correct
29 Correct 216 ms 27956 KB Output is correct
30 Correct 449 ms 31812 KB Output is correct
31 Correct 376 ms 30696 KB Output is correct
32 Correct 364 ms 33296 KB Output is correct
33 Correct 366 ms 32200 KB Output is correct
34 Correct 183 ms 27280 KB Output is correct
35 Correct 365 ms 31940 KB Output is correct
36 Correct 300 ms 34636 KB Output is correct