#include <bits/stdc++.h>   using namespace std;   template <typename T, typename U>   std::istream& operator>>(std::istream& i, pair<T, U>& p) {     i >> p.first >> p.second;     return i;   }   template <typename T>   std::istream& operator>>(std::istream& i, vector<T>& t) {     for (auto& v : t) {       i >> v;     }     return i;   }   template <typename T, typename U>   std::ostream& operator<<(std::ostream& o, const pair<T, U>& p) {     o << p.first <<     << p.second;     return o;   }   template <typename T>   std::ostream& operator<<(std::ostream& o, const vector<T>& t) {     if (t.empty()) o <<   n ;     for (size_t i = 0; i < t.size(); ++i) {       o << t[i] <<    n [i == t.size() - 1];     }     return o;   }   template <typename T>   using minheap = priority_queue<T, vector<T>, greater<T>>;   template <typename T>   using maxheap = priority_queue<T, vector<T>, less<T>>;   unsigned int logceil(long long first) {     return first ? 8 * sizeof(long long) - __builtin_clzll(first) : 0;   }   namespace std {   template <typename T, typename U>   struct hash<pair<T, U>> {     hash<T> t;     hash<U> u;     size_t operator()(const pair<T, U>& p) const {       return t(p.first) ^ (u(p.second) << 7);     }   };   }  // namespace std   template <typename T, typename F>   T bsh(T l, T h, const F& f) {     T r = -1, m;     while (l <= h) {       m = (l + h) / 2;       if (f(m)) {         l = m + 1;         r = m;       } else {         h = m - 1;       }     }     return r;   }   template <typename F>   double bshd(double l, double h, const F& f, double p = 1e-9) {     unsigned int r = 3 + (unsigned int)log2((h - l) / p);     while (r--) {       double m = (l + h) / 2;       if (f(m)) {         l = m;       } else {         h = m;       }     }     return (l + h) / 2;   }   template <typename T, typename F>   T bsl(T l, T h, const F& f) {     T r = -1, m;     while (l <= h) {       m = (l + h) / 2;       if (f(m)) {         h = m - 1;         r = m;       } else {         l = m + 1;       }     }     return r;   }   template <typename F>   double bsld(double l, double h, const F& f, double p = 1e-9) {     unsigned int r = 3 + (unsigned int)log2((h - l) / p);     while (r--) {       double m = (l + h) / 2;       if (f(m)) {         h = m;       } else {         l = m;       }     }     return (l + h) / 2;   }   template <typename T>   T gcd(T a, T b) {     if (a < b) swap(a, b);     return b ? gcd(b, a % b) : a;   }   template <typename T>   class vector2 : public vector<vector<T>> {    public:     vector2() {}     vector2(size_t a, size_t b, T t = T())         : vector<vector<T>>(a, vector<T>(b, t)) {}   };   template <typename T>   class vector3 : public vector<vector2<T>> {    public:     vector3() {}     vector3(size_t a, size_t b, size_t c, T t = T())         : vector<vector2<T>>(a, vector2<T>(b, c, t)) {}   };   template <typename T>   class vector4 : public vector<vector3<T>> {    public:     vector4() {}     vector4(size_t a, size_t b, size_t c, size_t d, T t = T())         : vector<vector3<T>>(a, vector3<T>(b, c, d, t)) {}   };   template <typename T>   class vector5 : public vector<vector4<T>> {    public:     vector5() {}     vector5(size_t a, size_t b, size_t c, size_t d, size_t e, T t = T())         : vector<vector4<T>>(a, vector4<T>(b, c, d, e, t)) {}   };   class DAlmostAll {    public:     int N;     vector<vector<int>> E;     vector<int> S;     vector<pair<std::pair<int, int>, int>> Ans;     int size(int u, int p) {       S[u] = 1;       for (int v : E[u])         if (v != p) S[u] += size(v, u);       return S[u];     }     void fill(int u, int p, int& cnt, int par, long long mul) {       int mine = cnt;       long long val = (cnt - par) * mul;       val = min(1000000LL, val);       Ans.push_back({{u + 1, p + 1}, val});       cnt++;       for (int v : E[u])         if (v != p) {           fill(v, u, cnt, mine, mul);         }     }     int centroid(int u, int p) {       int m = N - S[u];       for (int v : E[u])         if (v != p) m = max(m, S[v]);       if (2 * m <= N) return u;       for (int v : E[u])         if (v != p && 2 * S[v] > N) return centroid(v, u);       return -1;     }     void solve(istream& cin, ostream& cout) {       cin >> N;       E.resize(N);       for (int i = 0; i < N - 1; ++i) {         int u, v;         cin >> u >> v;         --u;         --v;         E[u].push_back(v);         E[v].push_back(u);       }       S.assign(N, 0);       size(0, -1);       int ctr = centroid(0, -1);       long long mul = 1;       int M = E[ctr].size();       size(ctr, -1);       vector2<bool> B(M + 1, N + 1, false);       B[0][0] = true;       for (int i = 0; i < M; ++i) {         for (int j = 0; j <= N; ++j) {           if (B[i][j]) {             B[i + 1][j] = true;             B[i + 1][j + S[E[ctr][i]]] = true;           }         }       }       for (int i = 0; i <= N; ++i) {         if (B[M][i] && (i + 1) * (N - i - 1) + i >= 2 * N * N / 9) {           vector<bool> Left(M, false);           int first = i;           for (int j = M - 1; j >= 0; --j) {             if (!B[j][first]) {               Left[j] = true;               first -= S[E[ctr][j]];             }           }           int c1 = 1, c2 = 1;           for (int j = 0; j < M; ++j) {             if (Left[j]) {               fill(E[ctr][j], ctr, c1, 0, 1);             } else {               fill(E[ctr][j], ctr, c2, 0, i + 1);             }           }           for (auto a : Ans) {             cout << a <<   n ;           }           break;         }       }     }   };   int main() {     ios_base::sync_with_stdio(false);     cin.tie(nullptr);     cout.tie(nullptr);     DAlmostAll solver;     std::istream& in(std::cin);     std::ostream& out(std::cout);     solver.solve(in, out);     return 0;   }