#include <bits/stdc++.h>
#define rep(i,n) for(int i = 0; i < (int)(n); i++)
#define rrep(ri,n) for(int ri = (int)(n-1); ri >= 0; ri--)
#define rep2(i,x,n) for(int i = (int)(x); i < (int)(n); i++)
#define rrep2(ri,x,n) for(int ri = (int)(n-1); ri >= (int)(x); ri--)
#define repit(itr,x) for(auto itr = x.begin(); itr != x.end(); itr++)
#define rrepit(ritr,x) for(auto ritr = x.rbegin(); ritr != x.rend(); ritr++)
#define ALL(x) x.begin(), x.end()
using ll = long long;
using namespace std;

int fc(const vector<vector<pair<int, int>>> &gr, int mid) {
  int n = gr.size();
  vector<int> chk(n, -1);
  queue<int> q;
  chk.at(0) = 0; q.push(0);
  while(!q.empty()) {
    auto now = q.front(); q.pop();
    for(auto [nx, c] : gr.at(now)) {
      if(c < mid) continue;
      if(chk.at(nx) != -1) continue;
      chk.at(nx) = chk.at(now) + 1;
      q.push(nx);
    }
  }
  return chk.back();
}

int main() {
  int n, m;
  cin >> n >> m;
  vector gr(n, vector<pair<int, int>>());
  rep(i, m) {
    int s, t, d;
    cin >> s >> t >> d;
    s--; t--;
    gr.at(s).push_back({t, d});
    gr.at(t).push_back({s, d});
  }
  int ok = 1, ng = 1001001001;
  int ans = 0;
  while(ng - ok > 1) {
    int mid = (ok+ng)/2;
    int r = fc(gr, mid);
    // cerr << r << " " << mid << endl;
    if(r != -1) {
      ok = mid;
      ans = r;
    } else ng = mid;
  }
  cout << ok << " " << ans << endl;
  return 0;
}