#pragma region Macros #include #define rep(i, n) for(int(i) = 0; (i) < (n); (i)++) #define FOR(i, m, n) for(int(i) = (m); (i) < (n); (i)++) #define ALL(v) (v).begin(), (v).end() #define LLA(v) (v).rbegin(), (v).rend() #define SZ(v) (int)(v).size() #define INT(...) \ int __VA_ARGS__; \ read(__VA_ARGS__) #define LL(...) \ ll __VA_ARGS__; \ read(__VA_ARGS__) #define DOUBLE(...) \ double __VA_ARGS__; \ read(__VA_ARGS__) #define CHAR(...) \ char __VA_ARGS__; \ read(__VA_ARGS__) #define STRING(...) \ string __VA_ARGS__; \ read(__VA_ARGS__) #define VEC(type, name, size) \ vector name(size); \ read(name) #define VEC2(type, name, height, width) \ vector> name(height, vector(width)); \ read(name) using namespace std; using ll = long long; using pii = pair; using pll = pair; using Graph = vector>; template struct edge { int from, to; T cost; edge(int f, int t, T c) : from(f), to(t), cost(c) {} }; template using WGraph = vector>>; const int INF = 1 << 30; const ll LINF = 1LL << 60; const int MOD = 1e9 + 7; const char newl = '\n'; template inline vector make_vec(size_t a, T val) { return vector(a, val); } template inline auto make_vec(size_t a, Ts... ts) { return vector(a, make_vec(ts...)); } void read() {} template inline void read(T &a) { cin >> a; } template inline void read(pair &p) { read(p.first), read(p.second); } template inline void read(vector &v) { for(auto &&a : v) read(a); } template inline void read(Head &head, Tail &...tail) { read(head), read(tail...); } template void write(const T &a) { cout << a << '\n'; } template void write(const vector &a) { for(int i = 0; i < a.size(); i++) cout << a[i] << (i + 1 == a.size() ? '\n' : ' '); } template void write(const Head &head, const Tail &...tail) { cout << head << ' '; write(tail...); } template void writel(const T &a) { cout << a << '\n'; } template void writel(const vector &a) { for(int i = 0; i < a.size(); i++) cout << a[i] << '\n'; } template void writel(const Head &head, const Tail &...tail) { cout << head << '\n'; write(tail...); } template auto sum(const vector &a) { return accumulate(ALL(a), T(0)); } template auto min(const vector &a) { return *min_element(ALL(a)); } template auto max(const vector &a) { return *max_element(ALL(a)); } template inline void chmax(T &a, T b) { (a < b ? a = b : a); } template inline void chmin(T &a, T b) { (a > b ? a = b : a); } struct IO { IO() { ios::sync_with_stdio(false); cin.tie(nullptr); cout << fixed << setprecision(10); } } io; #pragma endregion // UnionFind struct UnionFind { vector par; vector siz; UnionFind(ll N) : par(N), siz(N, 1LL) { for(int i = 0; i < N; i++) par[i] = i; } int root(int x) { if(par[x] == x) return x; return par[x] = root(par[x]); } void unite(int x, int y) { int rx = root(x); int ry = root(y); if(rx == ry) return; if(siz[rx] < siz[ry]) swap(rx, ry); siz[rx] += siz[ry]; par[ry] = rx; } bool same(int x, int y) { int rx = root(x); int ry = root(y); return rx == ry; } ll size(ll x) { return siz[root(x)]; } }; int main() { INT(n, m); UnionFind uf(n); map> mp; rep(i, m) { INT(s, t, d); s--, t--; mp[d].emplace_back(s, t); } int w = INF; Graph g(n); for(auto it = mp.rbegin(); it != mp.rend(); it++) { w = it->first; for(auto [s, t] : it->second) { uf.unite(s, t); g[s].push_back(t); g[t].push_back(s); } if(uf.same(0, n - 1)) break; } queue que; que.push(0); vector dist(n, INF); dist[0] = 0; while(!que.empty()) { int v = que.front(); que.pop(); for(auto nv : g[v]) { if(dist[nv] == INF) { dist[nv] = dist[v] + 1; que.push(nv); } } } write(w, dist[n - 1]); }