class Tree(): def __init__(self, n, decrement=1): self.n = n self.edges = [[] for _ in range(n)] self._edge_label = [[] for _ in range(n)] self.root = None self.size = [1]*n # number of nodes in subtree self.decrement = decrement def add_edge(self, u, v, i): u, v = u-self.decrement, v-self.decrement self.edges[u].append(v) self.edges[v].append(u) self._edge_label[u].append((v,i)) self._edge_label[v].append((u,i)) def add_edges(self, edges): for i, p in enumerate(edges): u, v = p u, v = u-self.decrement, v-self.decrement self.edges[u].append(v) self.edges[v].append(u) self._edge_label[u].append((v, i)) self._edge_label[v].append((u, i)) def set_root(self, root): root -= self.decrement self.depth = [-1]*self.n self.root = root self.par = [-1]*self.n self.depth[root] = 0 self.edge_label = [-1]*self.n # labeled by child self.order = [root] next_set = [root] while next_set: p = next_set.pop() for q, i in self._edge_label[p]: if self.depth[q] != -1: continue self.par[q] = p self.depth[q] = self.depth[p]+1 self.edge_label[q]=i self.order.append(q) next_set.append(q) for p in self.order[::-1]: for q in self.edges[p]: if self.par[p] == q: continue self.size[p] += self.size[q] ######################################################################################################### import sys input = sys.stdin.readline N= int(input()) T = Tree(N,decrement=1) W=[] for i in range(N-1): x, y, w = map(int, input().split()) T.add_edge(x,y,i) W.append(w) T.set_root(1) S=T.size[0] res=0 for i in range(1,N): s=T.size[i] res+=s*(S-s)*W[T.edge_label[i]] print(res*2)