oj.uz

Submission #646011

# Submission time Handle Problem Language Result Execution time Memory
646011 2022-09-28T13:40:07 Z Alex_tz307 Paths (RMI21_paths) C++17
100 / 100
 379 ms 35344 KB 
#include <bits/stdc++.h>
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")

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;

static inline 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());
    sumK -= first;

    low.erase(--low.end());

    big.emplace(last);
    sumK += last;

    low.emplace(first);

    last = *(--low.end());
    first = *big.begin();
  }
}

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

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

void dfs1(const int &u, const int &par) {
  for (const 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(const int &u, const int &par) {
  sol[u] = sumK;

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

    while ((int)paths[i].size() > 1 + (i == 1)) {
      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 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 5 ms 7380 KB Output is correct
4 Correct 4 ms 7380 KB Output is correct
5 Correct 3 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 4 ms 7380 KB Output is correct
3 Correct 5 ms 7380 KB Output is correct
4 Correct 4 ms 7380 KB Output is correct
5 Correct 3 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 5 ms 7592 KB Output is correct
11 Correct 5 ms 7604 KB Output is correct
12 Correct 6 ms 7508 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 5 ms 7380 KB Output is correct
4 Correct 4 ms 7380 KB Output is correct
5 Correct 3 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 5 ms 7592 KB Output is correct
11 Correct 5 ms 7604 KB Output is correct
12 Correct 6 ms 7508 KB Output is correct
13 Correct 7 ms 7764 KB Output is correct
14 Correct 7 ms 7892 KB Output is correct
15 Correct 7 ms 7756 KB Output is correct
16 Correct 8 ms 7804 KB Output is correct
17 Correct 7 ms 7764 KB Output is correct
18 Correct 6 ms 7764 KB Output is correct
19 Correct 8 ms 7780 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 304 ms 31152 KB Output is correct
2 Correct 296 ms 34492 KB Output is correct
3 Correct 206 ms 27856 KB Output is correct
4 Correct 302 ms 30936 KB Output is correct
5 Correct 300 ms 32564 KB Output is correct
6 Correct 300 ms 30780 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 5 ms 7380 KB Output is correct
4 Correct 4 ms 7380 KB Output is correct
5 Correct 3 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 5 ms 7592 KB Output is correct
11 Correct 5 ms 7604 KB Output is correct
12 Correct 6 ms 7508 KB Output is correct
13 Correct 7 ms 7764 KB Output is correct
14 Correct 7 ms 7892 KB Output is correct
15 Correct 7 ms 7756 KB Output is correct
16 Correct 8 ms 7804 KB Output is correct
17 Correct 7 ms 7764 KB Output is correct
18 Correct 6 ms 7764 KB Output is correct
19 Correct 8 ms 7780 KB Output is correct
20 Correct 304 ms 31152 KB Output is correct
21 Correct 296 ms 34492 KB Output is correct
22 Correct 206 ms 27856 KB Output is correct
23 Correct 302 ms 30936 KB Output is correct
24 Correct 300 ms 32564 KB Output is correct
25 Correct 300 ms 30780 KB Output is correct
26 Correct 361 ms 31568 KB Output is correct
27 Correct 312 ms 34380 KB Output is correct
28 Correct 338 ms 35344 KB Output is correct
29 Correct 215 ms 27912 KB Output is correct
30 Correct 334 ms 31324 KB Output is correct
31 Correct 320 ms 30412 KB Output is correct
32 Correct 343 ms 32888 KB Output is correct
33 Correct 345 ms 31564 KB Output is correct
34 Correct 181 ms 27304 KB Output is correct
35 Correct 379 ms 31392 KB Output is correct
36 Correct 277 ms 34892 KB Output is correct