Submission #1129701

#	Time	Username	Problem	Language	Result	Execution time	Memory
1129701		sad_hamsterwhee	Paths (RMI21_paths)	C++17	100 / 100	260 ms	17288 KiB

Main

#include <bits/stdc++.h>
#define int long long
using namespace std;

const int maxn = 1e5 + 10;
int ch[maxn], son[maxn], ch2[maxn], son2[maxn], n, k;
multiset<int> s1, s2;
int sum;

void add(int u) {
    if (u == 0) return;
    s1.insert(u);
    sum += u;
    if (s1.size() > k) {
        int minv = (*s1.begin());
        sum -= minv;
        s1.erase(s1.find(minv));
        s2.insert(minv);
    }
}

void rem(int u) {
    if (u == 0) return;
    if (s1.find(u) != s1.end()) {
        sum -= u;
        s1.erase(s1.find(u));
    } else {
        s2.erase(s2.find(u));
        return;
    }
    if (s1.size() < k && s2.size() > 0) {
        int maxv = (*s2.rbegin());
        s2.erase(s2.find(maxv));
        s1.insert(maxv);
        sum += maxv;
    }
}

vector<pair<int, int>> G[maxn];
int ans[maxn];

void dfs1(int u, int fa) {
    for (pair<int, int> nxt : G[u]) {
        int v = nxt.first, w = nxt.second;
        if (v == fa) continue;
        dfs1(v, u);
        if (ch[v] + w > ch[u]) {
            son[u] = v;
            ch[u] = ch[v] + w;
        }
    }
    for (pair<int, int> nxt : G[u]) {
        int v = nxt.first, w = nxt.second;
        if (v == fa || v == son[u]) continue;
        if (ch[v] + w > ch2[u]) {
            son2[u] = v;
            ch2[u] = ch[v] + w;
        }
        add(ch[v] + w);
    }
}

void dfs2(int u, int fa, int weif) {
    ans[u] = sum;
    for (pair<int, int> nxt : G[u]) {
        int v = nxt.first, w = nxt.second;
        if (v == fa) continue;
        rem(ch[v] + w);
        add(ch[v]);
        int mx;
        if (v == son[u]) {
            mx = max(weif, ch2[u]) + w;
        } else {
            mx = max(weif, ch[u]) + w;
        }
        rem(mx - w);
        add(mx);
        dfs2(v, u, mx);
        rem(mx);
        add(mx - w);
        rem(ch[v]);
        add(ch[v] + w);
    }
}

signed main() {
    ios::sync_with_stdio(0);
    cin.tie(0);
    cin >> n >> k;
    
    for (int i = 1; i < n; i++) {
        int u, v, w;
        cin >> u >> v >> w;
        G[u].push_back(make_pair(v, w));
        G[v].push_back(make_pair(u, w));
    }

    dfs1(1, 0);
    add(ch[1]);
    dfs2(1, 0, 0);
    
    for (int i = 1; i <= n; i++) {
        cout << ans[i] << '\n';
    }

    return 0;
}

• Subtask 1: 8 / 8
• Subtask 2: 11 / 11
• Subtask 3: 17 / 17
• Subtask 4: 20 / 20
• Subtask 5: 12 / 12
• Subtask 6: 32 / 32