import sys sys.setrecursionlimit(200005) int1 = lambda x: int(x)-1 p2D = lambda x: print(*x, sep="\n") def II(): return int(sys.stdin.readline()) def LI(): return list(map(int, sys.stdin.readline().split())) def LI1(): return list(map(int1, sys.stdin.readline().split())) def LLI(rows_number): return [LI() for _ in range(rows_number)] def LLI1(rows_number): return [LI1() for _ in range(rows_number)] def SI(): return sys.stdin.readline().rstrip() # dij = [(0, 1), (-1, 0), (0, -1), (1, 0)] dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)] inf = 10**9 # md = 998244353 md = 10**9+7 class UnionFind: def __init__(self, n): self.state = [-1]*n self.size_table = [1]*n # cntはグループ数 self.cnt = n def root(self, u): stack = [] while self.state[u] >= 0: stack.append(u) u = self.state[u] for v in stack: self.state[v] = u return u def same(self, u, v): return self.root(u) == self.root(v) def merge(self, u, v): u = self.root(u) v = self.root(v) if u == v: return False du = -self.state[u] dv = -self.state[v] if du < dv: u, v = v, u if du == dv: self.state[u] -= 1 self.state[v] = u self.cnt -= 1 self.size_table[u] += self.size_table[v] return True # グループの要素数 def size(self, u): return self.size_table[self.root(u)] n, m, x = LI() xyz = LLI(m) to = [[] for _ in range(n)] uf = UnionFind(n) xyz.sort(key=lambda x: x[2]) for u, v, z in xyz: u, v = u-1, v-1 if not uf.merge(u, v): continue to[u].append((v, z)) to[v].append((u, z)) size = [1]*n ans = 0 stack = [(0, -1, True)] while stack: u, par, first = stack.pop() if first: stack.append((u, par, False)) for v, z in to[u]: if v == par: continue stack.append((v, u, True)) else: for v, z in to[u]: if v == par: continue ans += size[v]*(n-size[v])*pow(x, z, md)%md size[u] += size[v] ans %= md print(ans)