Wide delivery

#include <climits>
#include <iostream>
#include <queue>
#include <vector>

using namespace std;

vector<int> widest_path_problem(vector<vector<pair<int, int> > >& Graph,
                                int src) {
    vector<int> widest(Graph.size(), INT_MIN);

    vector<int> parent(Graph.size(), 0);

    priority_queue<pair<int, int>, vector<pair<int, int> >,
                   greater<pair<int, int> > >
        container;

    container.push(make_pair(0, src));

    widest[src] = INT_MAX;

    while (!container.empty()) {
        pair<int, int> temp = container.top();

        int current_src = temp.second;

        container.pop();

        for (auto vertex : Graph[current_src]) {
            int distance = max(widest[vertex.second],
                               min(widest[current_src], vertex.first));

            if (distance > widest[vertex.second]) {
                widest[vertex.second] = distance;

                parent[vertex.second] = current_src;

                container.push(make_pair(distance, vertex.second));
            }
        }
    }

    return widest;
}

int main() {
    

    int n, m;
    cin >> n >> m;

    vector<vector<pair<int, int> > > graph (n + 1);

    for (int i = 0; i < m; i++) {
        int a, b, w;
        cin >> a >> b >> w;
        graph[a].push_back(make_pair(w, b));
        graph[b].push_back(make_pair(w, a));
    }

    vector<int> t = widest_path_problem(graph, 1);
    for (int i = 2; i <= n; i++) {
        cout << t[i] << ' ';
    }
    cout << endl;

    return 0;
}

Test 1

Verdict: ACCEPTED

Test 2

Verdict: ACCEPTED

Test 3

Verdict: ACCEPTED

Test 4

Verdict: ACCEPTED

Test 5

Verdict: ACCEPTED

Test 6

Verdict: ACCEPTED

Test 7

Verdict: ACCEPTED

Test 8

Verdict: ACCEPTED

Test 9

Verdict: ACCEPTED

Test 10

Verdict: ACCEPTED

Test 11

Verdict: ACCEPTED

Test 12

Verdict: ACCEPTED

Test 13

Verdict: ACCEPTED

Test 14

Verdict: ACCEPTED

Test 15

Verdict: ACCEPTED

Test 16

Verdict: ACCEPTED

Test 17

Verdict: ACCEPTED

Test 18

Verdict: ACCEPTED

Test 19

Verdict: ACCEPTED

Test 20

Verdict: ACCEPTED

Test 21

Verdict: ACCEPTED

Test 22

Verdict: ACCEPTED

Test 23

Verdict: ACCEPTED

Test 24

Verdict: ACCEPTED

Test 25

Verdict: ACCEPTED

Test 26

Verdict: ACCEPTED

Test 27

Verdict: ACCEPTED

Test 28

Verdict: ACCEPTED

Test 29

Verdict: ACCEPTED

Test 30

Verdict: ACCEPTED

Test 31

Verdict: ACCEPTED

Test 32

Verdict: ACCEPTED

Test 33

Verdict: ACCEPTED

Test 34

Verdict: ACCEPTED

Test 35

Verdict: ACCEPTED

Test 36

Verdict: ACCEPTED

Test 37

Verdict: ACCEPTED

Test 38

Verdict: ACCEPTED

Test 39

Verdict: ACCEPTED

Test 40

Verdict: ACCEPTED

Test 41

Verdict: ACCEPTED

Test 42

Verdict: ACCEPTED

Test 43

Verdict: ACCEPTED

Test 44

Verdict: ACCEPTED

Test 45

Verdict: ACCEPTED

Test 46

Verdict: ACCEPTED

Test 47

Verdict: ACCEPTED

Test 48

Verdict: ACCEPTED

Test 49

Verdict: ACCEPTED

Test 50

Verdict: ACCEPTED

Test 51

Verdict: ACCEPTED

Test 52

Verdict: ACCEPTED

Test 53

Verdict: ACCEPTED

Test 54

Verdict: ACCEPTED

Test 55

Verdict: ACCEPTED

Test 56

Verdict: ACCEPTED

Test 57

Verdict: ACCEPTED

Test 58

Verdict: ACCEPTED

Test 59

Verdict: ACCEPTED

Test 60

Verdict: TIME LIMIT EXCEEDED

Test 61

Verdict: TIME LIMIT EXCEEDED

Test 62

Verdict: TIME LIMIT EXCEEDED

Test 63

Verdict: TIME LIMIT EXCEEDED

Test 64

Verdict: TIME LIMIT EXCEEDED

Test 65

Verdict: TIME LIMIT EXCEEDED

Test 66

Verdict: TIME LIMIT EXCEEDED

Test 67

Verdict: TIME LIMIT EXCEEDED

Test 68

Verdict: TIME LIMIT EXCEEDED

Test 69

Verdict: ACCEPTED