import std.conv, std.functional, std.range, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.bitmanip, std.complex, std.container, std.math, std.mathspecial, std.numeric, std.regex, std.typecons; import core.bitop; class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; } int readInt() { return readToken.to!int; } long readLong() { return readToken.to!long; } real readReal() { return readToken.to!real; } bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } } bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } } int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; } int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); } int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); } // Link-Cut Tree // Modify val and update to the data needed class Tree { Tree l, r, p; int size; int id; // int[] val; int val; this(int id) { l = r = p = null; size = 1; this.id = id; // val = [id]; val = 1; } void update() { size = (l ? l.size : 0) + 1 + (r ? r.size : 0); // val = (l ? l.val : []) ~ [id] ~ (r ? r.val : []); // val = (l ? l.val : 0) + 1 + (r ? r.val : 0) + sub; } bool isRoot() const { return (!p || (p.l != this && p.r != this)); } // ! void change(Tree pp) { if (p) p.val -= val; p = pp; if (p) p.val += val; } void rotate() { // if (p.l == this) { if (r) { r.p = p; } p.l = r; r = p; } // else if (p.r == this) { if (l) { l.p = p; } p.r = l; l = p; } if (p.l == this) { const sub = r ? r.val : 0; if (r) { r.p = p; } p.l = r; r = p; swap(val, p.val); p.val = val - p.val + sub; } else if (p.r == this) { const sub = l ? l.val : 0; if (l) { l.p = p; } p.r = l; l = p; swap(val, p.val); p.val = val - p.val + sub; } Tree pp = p.p; if (pp) { if (pp.l == p) pp.l = this; else if (pp.r == p) pp.r = this; } p.update(); p.p = this; p = pp; } void splay() { for (; !isRoot(); rotate()) { if (!p.isRoot()) ((p.l == this) == (p.p.l == p)) ? p.rotate() : rotate(); } update(); } // Make the path from v to the root solid // Return the node where it entered the last solid path Tree expose() { Tree u = this, v = null; for (; u; u = u.p) { u.splay(); u.r = v; u.update(); v = u; } splay(); return v; } // parent of this := u void link(Tree u) { expose(); u.expose(); /*p = u;*/change(u); u.r = this; u.update(); } // parent of this := null void cut() { expose(); /*l.p = null;*/l.change(null); l = null; update(); } // the root of the tree this belongs Tree root() { expose(); for (Tree u = this; ; u = u.l) if (!u.l) { u.splay(); return u; } } // LCA of this and u // Assume this.root == u.root Tree lca(Tree u) { expose(); return u.expose(); } /* // ([child of LCA, ..., this], [LCA, ..., u]) // Assume this.root == u.root import std.typecons : Tuple, tuple; Tuple!(int[], int[]) path(Tree u) { expose(); Tree v = u.expose(); splay(); v.splay(); auto pathT = (v == this) ? [] : ((l ? l.val : []) ~ [this.id]); auto pathU = [v.id] ~ (v.r ? v.r.val : []); return tuple(pathT, pathU); } */ } void print(in Tree[] nodes) { import std.stdio : write, writeln; import std.string : format; string dfs(in Tree u) { return format("<%s%s(%s, %s)%s>", u.l ? (dfs(u.l) ~ " ") : "", u.id, u.size, u.val, u.r ? (" " ~ dfs(u.r)) : ""); } foreach (u; nodes) { if (u.isRoot()) { write("| "); if (u.p) write(u.p.id, " "); write("<- ", u.id, ": "); writeln(dfs(u)); } } } int N; int[] A, B; long[] C; int[][] G; int[] par; long[] dist; void dfs(int u, int p) { par[u] = p; foreach (i; G[u]) { const v = A[i] ^ B[i] ^ u; if (v != p) { dist[v] = dist[u] ^ C[i]; dfs(v, u); } } } void main() { try { for (; ; ) { N = readInt(); A = new int[N - 1]; B = new int[N - 1]; C = new long[N - 1]; foreach (i; 0 .. N - 1) { A[i] = readInt() - 1; B[i] = readInt() - 1; C[i] = readLong(); } G = new int[][N]; foreach (i; 0 .. N - 1) { G[A[i]] ~= i; G[B[i]] ~= i; } par = new int[N]; dist = new long[N]; dfs(0, -1); debug { writeln("par = ", par); writeln("dist = ", dist); } auto nodes = new Tree[N]; foreach (u; 0 .. N) { nodes[u] = new Tree(u); } foreach (u; 0 .. N) if (~par[u]) { nodes[u].link(nodes[par[u]]); } auto del = new bool[N]; void add(int u) { del[u] = false; foreach (i; G[u]) { const v = A[i] ^ B[i] ^ u; if (v != par[u]) { if (!del[v]) { nodes[v].link(nodes[u]); } } } if (~par[u]) { if (!del[par[u]]) { nodes[u].link(nodes[par[u]]); } } } void rem(int u) { del[u] = true; foreach (i; G[u]) { const v = A[i] ^ B[i] ^ u; if (v != par[u]) { if (!del[v]) { nodes[v].cut; } } } if (~par[u]) { if (!del[par[u]]) { nodes[u].cut; } } } alias Entry = Tuple!(long, "d", int, "u"); auto es = new Entry[N]; foreach (u; 0 .. N) { es[u] = Entry(dist[u], u); } es.sort; auto anss = new long[N]; for (int j = 0, k; j < N; j = k) { for (k = j; k < N && es[j].d == es[k].d; ++k) {} debug { writeln(es[j .. k]); } foreach (e; es[j .. k]) { const u = e.u; rem(u); } foreach (e; es[j .. k]) { const u = e.u; add(u); const r = nodes[u].root.id; nodes[r].expose; debug { writeln("u = ", u, ", r = ", r); nodes.print; } anss[u] = nodes[r].val - 1; rem(u); } foreach (e; es[j .. k]) { const u = e.u; add(u); } } debug { writeln("anss = ", anss); } const ans = anss.sum; writeln(ans); } } catch (EOFException e) { } }