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 same(self, x, y): return self.find(x) == self.find(y) import sys input = sys.stdin.readline N, M, X = map(int, input().split()) A = [list(map(int, input().split())) for _ in range(M)] uf = UnionFind(N) edge = [[] for _ in range(N)] num = 0 for x,y,z in A: x -= 1 y -= 1 if not uf.same(x,y): uf.union(x,y) edge[x].append((y,z,num)) edge[y].append((x,z,num)) num += 1 if num==N-1: break # def dfs(v,p): # res = 0 # for u,z,num in edge[v]: # if u!=p: # v_num = dfs(u,v) # ans += v_num*(N-v_num)*pow(X,z,mod) # ans %= mod # res += v_num # return res+1 def dfs(start): global ans stack = [start] visited = [False]*N visited[start] = True vnum = [0]*N while stack: v = stack[-1] marker = 0 for u,z,num in edge[v]: if visited[u]==False: #前半 marker = 1 visited[u]=True stack.append(u) elif vnum[u]>0: #後半 ans += vnum[u]*(N-vnum[u])*pow(X,z,mod) ans %= mod vnum[v] += vnum[u] if marker==0: #後半だったら vnum[v] += 1 stack.pop() return ans = 0 mod = 10**9+7 dfs(0) print(ans)