#include "bits/stdc++.h"

using namespace std;
using ll = long long;

const int INF = 1 << 30;

void Main() {
    int n, m;
    cin >> n >> m;
    vector<map<int, int>> graph(n, map<int, int>());
    for (int i = 0; i < m; ++i) {
        int s, t, d;
        cin >> s >> t >> d;
        --s;
        --t;
        if (graph[s].count(t) == 0) {
            graph[s].insert(make_pair(t, d));
            graph[t].insert(make_pair(s, d));
        }
        else {
            graph[s][t] = max(graph[s][t], d);
            graph[t][s] = max(graph[t][s], d);
        }
    }

    typedef pair<int, int> weight_curr;
    priority_queue<weight_curr, vector<weight_curr>> q;
    vector<int> w(n, -1);
    int start = 0;
    q.push(make_pair(INF, start));
    w[start] = INF;
    while (!q.empty()) {
        int weight = q.top().first;
        int curr = q.top().second;
        q.pop();
        if (w[curr] > weight) {
            continue;
        }
        for (auto edge : graph[curr]) {
            int to = edge.first;
            int wei = edge.second;
            if (w[to] < min(w[curr], wei)) {
                w[to] = min(w[curr], wei);
                q.push(make_pair(w[to], to));
            }
        }
    }
    int maxWeight = w[n - 1];

    vector<set<int>> allowed(n, set<int>());
    for (int i = 0; i < n; ++i) {
        for (auto e : graph[i]) {
            if (e.second >= maxWeight) {
                allowed[i].insert(e.first);
            }
        }
    }

    typedef pair<int, int> dist_curr;
    priority_queue<dist_curr, vector<dist_curr>, greater<dist_curr>> aq;
    vector<int> d(n, INF);
    aq.push(make_pair(0, start));
    d[start] = 0;
    while (!aq.empty()) {
        int dist = aq.top().first;
        int curr = aq.top().second;
        aq.pop();
        if (d[curr] < dist) {
            continue;
        }
        for (auto to : allowed[curr]) {
            if (d[to] > d[curr] + 1) {
                d[to] = d[curr] + 1;
                aq.push(make_pair(d[to], to));
            }
        }
    }
    int minPath = d[n - 1];
    cout << maxWeight << " " << minPath << endl;
}

int main() {
    std::cout << std::fixed << std::setprecision(15);
    Main();
    return 0;
}