#pragma GCC target("avx2") #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #include //#include using namespace std; //using namespace atcoder; #define DEBUG #ifdef DEBUG template ostream &operator<<(ostream &os, const pair &p) { os << '(' << p.first << ',' << p.second << ')'; return os; } template ostream &operator<<(ostream &os, const vector &v) { os << '{'; for(int i = 0; i < (int)v.size(); i++) { if(i) { os << ','; } os << v[i]; } os << '}'; return os; } void debugg() { cerr << endl; } template void debugg(const T &x, const Args &... args) { cerr << " " << x; debugg(args...); } #define debug(...) \ cerr << __LINE__ << " [" << #__VA_ARGS__ << "]: ", debugg(__VA_ARGS__) #define dump(x) cerr << __LINE__ << " " << #x << " = " << (x) << endl #else #define debug(...) (void(0)) #define dump(x) (void(0)) #endif using namespace std; typedef long long ll; typedef vector vl; typedef vector> vvl; typedef vector vc; typedef vector vs; typedef vector vb; typedef vector vd; typedef pair P; typedef pair pii; typedef vector

vpl; typedef tuple tapu; #define rep(i,n) for(int i=0; i<(n); i++) #define REP(i,a,b) for(int i=(a); i<(b); i++) #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() const int inf = (1<<30) - 1; const ll linf = 1LL<<61; const int MAX = 510000; int dy[8] = {0,1,0,-1,1,-1,-1,1}; int dx[8] = {-1,0,1,0,1,-1,1,-1}; const double pi = acos(-1); const double eps = 1e-8; template inline bool chmin(T1 &a,T2 b){ if(a>b){ a = b; return true; } else return false; } template inline bool chmax(T1 &a,T2 b){ if(a<=b){ a = b; return true; } else return false; } template inline void print(T &a){ int sz = a.size(); for(auto itr = a.begin(); itr != a.end(); itr++){ cout << *itr; sz--; if(sz) cout << " "; } cout << "\n"; } template inline void print2(T1 a, T2 b){ cout << a << " " << b << "\n"; } template inline void print3(T1 a, T2 b, T3 c){ cout << a << " " << b << " " << c << "\n"; } void mark() {cout << "#" << "\n";} ll pcount(ll x) {return __builtin_popcountll(x);} //const int mod = 1e9 + 7; const int mod = 998244353; struct UnionFind{ vl p; vl rank; vl cnt; UnionFind(ll n){ rank.resize(n,0); p.resize(n,0); cnt.resize(n,0); rep(i,n){ p[i] = i; rank[i] = 0; cnt[i] = 1; } } ll find(ll x){ if(x != p[x]) p[x] = find(p[x]); return p[x]; } bool same(ll x, ll y){ return find(x) == find(y); } void unite(ll x, ll y){ x = find(x); y = find(y); if(x == y) return; if(rank[x] > rank[y]){ p[y] = x; cnt[x] += cnt[y]; }else{ p[x] = y; cnt[y] += cnt[x]; if(rank[x] == rank[y]) rank[y]++; } } ll size(ll x){ return cnt[find(x)]; } }; int main(){ int n,m; cin >> n >> m; vvl G(n); vector> e(m); rep(i,m){ int s,t,d; cin >> s >> t >> d; s--; t--; e[i] = {d,s,t}; } sort(rall(e)); UnionFind uf(n); ll w = linf; rep(i,m){ if(uf.same(0,n-1)) break; int d,s,t; tie(d,s,t) = e[i]; uf.unite(s,t); G[s].push_back(t); G[t].push_back(s); w = d; } vl d(n,inf); d[0] = 0; queue q; q.push(0); while(!q.empty()){ int u = q.front(); q.pop(); for(auto v : G[u]){ if(chmin(d[v], d[u] + 1)) q.push(v); } } cout << w << " " << d[n-1] << endl; }