class UnionFind(): def __init__(self, n): self.n = n self.parents = [-1] * n def find(self, x): if self.parents[x] < 0: return x else: self.parents[x] = self.find(self.parents[x]) return self.parents[x] def union(self, x, y): x = self.find(x) y = self.find(y) if x == y: return if self.parents[x] > self.parents[y]: x, y = y, x self.parents[x] += self.parents[y] self.parents[y] = x def size(self, x): return -self.parents[self.find(x)] def same(self, x, y): return self.find(x) == self.find(y) def members(self, x): root = self.find(x) return [i for i in range(self.n) if self.find(i) == root] def roots(self): return [i for i, x in enumerate(self.parents) if x < 0] def group_count(self): return len(self.roots()) def all_group_members(self): return {r: self.members(r) for r in self.roots()} def __str__(self): return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots()) import sys sys.setrecursionlimit(1<<30) mod = 10**9+7 N,M,X = map(int,input().split()) Tree = [[] for _ in range(N)] edges = [] uf = UnionFind(N) xyz = [] for i in range(M): x,y,z = map(int,input().split()) xyz.append((x,y,z)) xyz.sort(key=lambda x:x[2]) for i in range(M): x,y,z = xyz[i] if not uf.same(x-1,y-1): uf.union(x-1,y-1) Tree[x-1].append(y-1) Tree[y-1].append(x-1) edges.append((x,y,z)) size = [1]*N parent = [-1]*N d = [] d.append(0) while d: x = d.pop() if x == 0: if size[x] == 1: for y in Tree[x]: if parent[x] != y: d.append(y) parent[y] = x elif size[x] > 1 or len(Tree[x]) == 1: p = parent[x] size[p] += size[x] d.append(p) else: for y in Tree[x]: if parent[x] != y: d.append(y) parent[y] = x ans = 0 for x,y,z in edges: s = min(size[x-1],size[y-1]) ans += s*(N-s)*pow(X,z,mod) ans %= mod print(ans)