class UnionFind: def __init__(self, n): self.node = [-1 for _ in range(n)] def root(self, v): if self.node[v] < 0: return v st = [] while self.node[v] >= 0: st.append(v) v = self.node[v] for u in st: self.node[u] = v return v def size(self, v): v = self.root(v) return (- self.node[v]) def same(self, u, v): return self.root(u) == self.root(v) def unite(self, u, v): ru = self.root(u) rv = self.root(v) if ru == rv: return du = self.node[ru] dv = self.node[rv] if du <= dv: self.node[rv] = ru self.node[ru] += dv else: self.node[ru] = rv self.node[rv] += du MOD = 10 ** 9 + 7 n, m, x = map(int, input().split()) g = [[] for _ in range(n)] edges = [] uf = UnionFind(n) for _ in range(m): xi, yi, zi = map(int, input().split()) xi -= 1 yi -= 1 if not uf.same(xi, yi): uf.unite(xi, yi) g[xi].append(yi) g[yi].append(xi) edges.append((xi, yi, zi)) dp = [0 for _ in range(n)] src = 0 st = [~ src, src] par = [None for _ in range(n)] while len(st) > 0: cur = st.pop() if cur >= 0: for nxt in g[cur]: if par[cur] == nxt: continue par[nxt] = cur st.append(~ nxt) st.append(nxt) else: dp[~ cur] += 1 if not par[~ cur] is None: dp[par[~ cur]] += dp[~ cur] ans = 0 for xi, yi, zi in edges: if par[xi] == yi: ans = (ans + dp[xi] * (n - dp[xi]) * pow(x, zi, MOD) % MOD) % MOD else: ans = (ans + dp[yi] * (n - dp[yi]) * pow(x, zi, MOD) % MOD) % MOD print(ans)