Submission #541457

# Submission time Handle Problem Language Result Execution time Memory
541457 2022-03-23T16:06:04 Z eecs Paths (RMI21_paths) C++17
100 / 100
440 ms 21624 KB
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
const int maxn = 100010;
int n, K;
ll down[maxn], up[maxn], ans[maxn];
vector<array<int, 2>> G[maxn];

namespace DS {
ll sum;
multiset<ll> S, cand;

void ins(ll x) {
    if (S.size() < K || *S.begin() < x) {
        if (S.size() == K) sum -= *S.begin(), cand.insert(*S.begin()), S.erase(S.begin());
        sum += x, S.insert(x);
    } else {
        cand.insert(x);
    }
}

void del(ll x) {
    if (cand.find(x) != cand.end()) {
        cand.erase(cand.find(x));
    } else {
        sum -= x, S.erase(S.find(x));
        if (S.size() < K) sum += *cand.rbegin(), S.insert(*cand.rbegin()), cand.erase(prev(cand.end()));
    }
}
} // namespace DS

int main() {
    scanf("%d %d", &n, &K);
    for (int i = 1, u, v, w; i < n; i++) {
        scanf("%d %d %d", &u, &v, &w);
        G[u].push_back({v, w}), G[v].push_back({u, w});
    }
    function<void(int, int)> dfs1 = [&](int u, int fa) {
        for (auto &e : G[u]) if (e[0] ^ fa) {
            dfs1(e[0], u), down[u] = max(down[u], down[e[0]] + e[1]);
        }
    };
    function<void(int, int)> dfs2 = [&](int u, int fa) {
        vector<ll> W = {0};
        for (auto &e : G[u]) if (e[0] ^ fa) {
            W.push_back(down[e[0]] + e[1]);
        }
        sort(W.begin(), W.end(), greater<>());
        for (int i = 1; i < W.size(); i++) {
            DS::ins(W[i]);
        }
        for (auto &e : G[u]) if (e[0] ^ fa) {
            up[e[0]] = max(up[u], down[e[0]] + e[1] == W[0] ? W[1] : W[0]) + e[1];
            dfs2(e[0], u);
        }
    };
    function<void(int, int)> dfs3 = [&](int u, int fa) {
        ans[u] = DS::sum;
        for (auto &e : G[u]) if (e[0] ^ fa) {
            DS::ins(up[e[0]]), DS::ins(down[e[0]]);
            DS::del(up[e[0]] - e[1]), DS::del(down[e[0]] + e[1]);
            dfs3(e[0], u);
            DS::del(up[e[0]]), DS::del(down[e[0]]);
            DS::ins(up[e[0]] - e[1]), DS::ins(down[e[0]] + e[1]);
        }
    };
    dfs1(1, 0), dfs2(1, 0);
    DS::ins(down[1]), dfs3(1, 0);
    for (int i = 1; i <= n; i++) {
        printf("%lld\n", ans[i]);
    }
    return 0;
}

Compilation message

Main.cpp: In function 'void DS::ins(ll)':
Main.cpp:15:18: warning: comparison of integer expressions of different signedness: 'std::multiset<long long int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   15 |     if (S.size() < K || *S.begin() < x) {
      |         ~~~~~~~~~^~~
Main.cpp:16:22: warning: comparison of integer expressions of different signedness: 'std::multiset<long long int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   16 |         if (S.size() == K) sum -= *S.begin(), cand.insert(*S.begin()), S.erase(S.begin());
      |             ~~~~~~~~~^~~~
Main.cpp: In function 'void DS::del(ll)':
Main.cpp:28:22: warning: comparison of integer expressions of different signedness: 'std::multiset<long long int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   28 |         if (S.size() < K) sum += *cand.rbegin(), S.insert(*cand.rbegin()), cand.erase(prev(cand.end()));
      |             ~~~~~~~~~^~~
Main.cpp: In lambda function:
Main.cpp:50:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   50 |         for (int i = 1; i < W.size(); i++) {
      |                         ~~^~~~~~~~~~
Main.cpp: In function 'int main()':
Main.cpp:34:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   34 |     scanf("%d %d", &n, &K);
      |     ~~~~~^~~~~~~~~~~~~~~~~
Main.cpp:36:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   36 |         scanf("%d %d %d", &u, &v, &w);
      |         ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 3 ms 2644 KB Output is correct
5 Correct 3 ms 2644 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 3 ms 2644 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 3 ms 2644 KB Output is correct
5 Correct 3 ms 2644 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 3 ms 2644 KB Output is correct
8 Correct 5 ms 2772 KB Output is correct
9 Correct 4 ms 2772 KB Output is correct
10 Correct 5 ms 2772 KB Output is correct
11 Correct 5 ms 2772 KB Output is correct
12 Correct 4 ms 2772 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 3 ms 2644 KB Output is correct
5 Correct 3 ms 2644 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 3 ms 2644 KB Output is correct
8 Correct 5 ms 2772 KB Output is correct
9 Correct 4 ms 2772 KB Output is correct
10 Correct 5 ms 2772 KB Output is correct
11 Correct 5 ms 2772 KB Output is correct
12 Correct 4 ms 2772 KB Output is correct
13 Correct 5 ms 2900 KB Output is correct
14 Correct 7 ms 3028 KB Output is correct
15 Correct 5 ms 2896 KB Output is correct
16 Correct 6 ms 2824 KB Output is correct
17 Correct 6 ms 2900 KB Output is correct
18 Correct 7 ms 2772 KB Output is correct
19 Correct 6 ms 2900 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 383 ms 14476 KB Output is correct
2 Correct 349 ms 17520 KB Output is correct
3 Correct 289 ms 14104 KB Output is correct
4 Correct 319 ms 14484 KB Output is correct
5 Correct 329 ms 15780 KB Output is correct
6 Correct 282 ms 14408 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 3 ms 2644 KB Output is correct
5 Correct 3 ms 2644 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 3 ms 2644 KB Output is correct
8 Correct 5 ms 2772 KB Output is correct
9 Correct 4 ms 2772 KB Output is correct
10 Correct 5 ms 2772 KB Output is correct
11 Correct 5 ms 2772 KB Output is correct
12 Correct 4 ms 2772 KB Output is correct
13 Correct 5 ms 2900 KB Output is correct
14 Correct 7 ms 3028 KB Output is correct
15 Correct 5 ms 2896 KB Output is correct
16 Correct 6 ms 2824 KB Output is correct
17 Correct 6 ms 2900 KB Output is correct
18 Correct 7 ms 2772 KB Output is correct
19 Correct 6 ms 2900 KB Output is correct
20 Correct 383 ms 14476 KB Output is correct
21 Correct 349 ms 17520 KB Output is correct
22 Correct 289 ms 14104 KB Output is correct
23 Correct 319 ms 14484 KB Output is correct
24 Correct 329 ms 15780 KB Output is correct
25 Correct 282 ms 14408 KB Output is correct
26 Correct 377 ms 14840 KB Output is correct
27 Correct 440 ms 19544 KB Output is correct
28 Correct 346 ms 20216 KB Output is correct
29 Correct 263 ms 16476 KB Output is correct
30 Correct 329 ms 16932 KB Output is correct
31 Correct 410 ms 16216 KB Output is correct
32 Correct 344 ms 18180 KB Output is correct
33 Correct 388 ms 16928 KB Output is correct
34 Correct 209 ms 16464 KB Output is correct
35 Correct 366 ms 16904 KB Output is correct
36 Correct 314 ms 21624 KB Output is correct