Submission #525940

#TimeUsernameProblemLanguageResultExecution timeMemory
525940JosiaPaths (RMI21_paths)C++14
36 / 100
1040 ms18028 KiB
#include <bits/stdc++.h>

using namespace std;
#define int int64_t



vector<pair<int, int>> parents;
vector<vector<pair<int, int>>> graph;
vector<int> order;
int n, k;


void generateParents(int v, int p, int weight) {
    if (parents[v].first != -1) return;

    parents[v].first = p;
    parents[v].second = weight;

    for (auto u: graph[v]) {
        if (parents[u.first].first != -1) continue;
        generateParents(u.first, v, u.second);
    }
    order.push_back(v);
}



void merge(priority_queue<int> &A, priority_queue<int> &B) {
    if (A.size() > B.size()) A.swap(B);
    while(A.size()) {B.push(A.top()); A.pop();}
}



int stl(int v) {
    vector<priority_queue<int>> tree(n);  // offset, options

    for (int i = 0; i<n; i++) {
        if (graph[i].size() == 1 && i!=v) tree[i].push(0);
    }

    order.pop_back();

    for (int i: order) {
        int newElem = tree[i].top() + parents[i].second;
        tree[i].pop();
        tree[i].push(newElem);

        merge(tree[i], tree[parents[i].first]);
    }

    // cerr << "root element: ";

    // for (int i: tree[v]) {
    //     cerr << i << " ";
    // } cerr << "\n";


    int res = 0;

    for (int i = 0; i<k; i++) {
        res += tree[v].top();
        tree[v].pop();
    }

    return res;
}



void solve() {
    
    cin >> n >> k;
    graph.resize(n);
    parents.resize(n);

    for (int i = 0; i<n-1; i++) {
        int a, b, c; cin >> a >> b >> c;
        a--; b--;
        graph[a].push_back({b, c});
        graph[b].push_back({a, c});
    }

    for (int i = 0; i<n; i++) {
        // parents.clear();
        fill(parents.begin(), parents.end(), (pair<int, int>){-1, 0});
        order.clear();

        generateParents(i, -2, 0);

        // cerr << "order: ";
        // for (auto i: order) {
        //     cerr << i << " ";
        // } cerr << "\n";

        // cerr << "parents: ";
        // for (auto i: parents) {
        //     cerr << i.first << " ";
        // } cerr << "\n";

        assert(order.back() == i);

        int res = stl(i);

        cout << res << "\n";
        // cerr << "result: " << res << "\n";
    }
    


}

signed main() {
    cin.tie(0);
    ios_base::sync_with_stdio(0);

    solve();

    return 0;
}
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