oj.uz

Submission #646010

# Submission time Handle Problem Language Result Execution time Memory
646010 2022-09-28T13:36:01 Z Alex_tz307 Paths (RMI21_paths) C++17
100 / 100
 376 ms 35532 KB 
#include <bits/stdc++.h>
#pragma GCC optimize("unroll-loops")

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 4 ms 7380 KB Output is correct
4 Correct 4 ms 7340 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 4 ms 7380 KB Output is correct
3 Correct 4 ms 7380 KB Output is correct
4 Correct 4 ms 7340 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 7500 KB Output is correct
9 Correct 5 ms 7636 KB Output is correct
10 Correct 6 ms 7480 KB Output is correct
11 Correct 7 ms 7508 KB Output is correct
12 Correct 7 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 4 ms 7380 KB Output is correct
4 Correct 4 ms 7340 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 7500 KB Output is correct
9 Correct 5 ms 7636 KB Output is correct
10 Correct 6 ms 7480 KB Output is correct
11 Correct 7 ms 7508 KB Output is correct
12 Correct 7 ms 7508 KB Output is correct
13 Correct 10 ms 7764 KB Output is correct
14 Correct 8 ms 7892 KB Output is correct
15 Correct 9 ms 7764 KB Output is correct
16 Correct 8 ms 7736 KB Output is correct
17 Correct 7 ms 7764 KB Output is correct
18 Correct 6 ms 7764 KB Output is correct
19 Correct 9 ms 7764 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 320 ms 31128 KB Output is correct
2 Correct 298 ms 34816 KB Output is correct
3 Correct 201 ms 27884 KB Output is correct
4 Correct 333 ms 31052 KB Output is correct
5 Correct 294 ms 32528 KB Output is correct
6 Correct 318 ms 30920 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 4 ms 7380 KB Output is correct
4 Correct 4 ms 7340 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 7500 KB Output is correct
9 Correct 5 ms 7636 KB Output is correct
10 Correct 6 ms 7480 KB Output is correct
11 Correct 7 ms 7508 KB Output is correct
12 Correct 7 ms 7508 KB Output is correct
13 Correct 10 ms 7764 KB Output is correct
14 Correct 8 ms 7892 KB Output is correct
15 Correct 9 ms 7764 KB Output is correct
16 Correct 8 ms 7736 KB Output is correct
17 Correct 7 ms 7764 KB Output is correct
18 Correct 6 ms 7764 KB Output is correct
19 Correct 9 ms 7764 KB Output is correct
20 Correct 320 ms 31128 KB Output is correct
21 Correct 298 ms 34816 KB Output is correct
22 Correct 201 ms 27884 KB Output is correct
23 Correct 333 ms 31052 KB Output is correct
24 Correct 294 ms 32528 KB Output is correct
25 Correct 318 ms 30920 KB Output is correct
26 Correct 354 ms 31512 KB Output is correct
27 Correct 330 ms 34592 KB Output is correct
28 Correct 335 ms 35532 KB Output is correct
29 Correct 216 ms 27852 KB Output is correct
30 Correct 347 ms 31220 KB Output is correct
31 Correct 366 ms 30264 KB Output is correct
32 Correct 349 ms 32924 KB Output is correct
33 Correct 365 ms 31596 KB Output is correct
34 Correct 181 ms 27336 KB Output is correct
35 Correct 376 ms 31304 KB Output is correct
36 Correct 301 ms 35392 KB Output is correct