## https://yukicoder.me/problems/no/1308 from collections import deque class UnionFind: """ UnionFindの基本的な処理を実装したクラス """ def __init__(self, size): self.root = [i for i in range(size)] self.size = [1] * size def get_root(self, v): if v == self.root[v]: return v else: old_root = self.root[v] new_root = self.get_root(old_root) self.root[v] = new_root return new_root def merge(self, u, v): root_u = self.get_root(u) root_v = self.get_root(v) if root_u == root_v: return False if self.size[root_u] >= self.size[root_v]: self.size[root_u] += self.size[root_v] self.root[root_v] = root_u self.root[v] = root_u else: self.size[root_v] += self.size[root_u] self.root[root_u] = root_v self.root[u] = root_v return True def main(): N, K, C = map(int, input().split()) edges = [] for _ in range(K): u, v, w, p = map(int, input().split()) edges.append((u - 1, v - 1, w, p)) if N == 1: print(0) return # 最小全域木を計算 edges.sort(key=lambda x : x[2]) uf = UnionFind(N) used = [False] * K answer = 0 mst_weight = 0 for i in range(K): u, v, w, p = edges[i] if uf.merge(u, v): mst_weight += w answer = max(answer, p) used[i] = True print(mst_weight, C) if mst_weight > C: print(-1) return # オイラーツアー計算 next_nodes = [[] for _ in range(N)] for i in range(K): if used[i]: u, v, w, p = edges[i] next_nodes[u].append((v, w, p)) next_nodes[v].append((u, w, p)) parents = [-2] * N parents_weigths = [-2] * N parents[0] = -1 depths = [0] * N stack = deque() stack.append((0, 0)) while len(stack) > 0: v, index = stack.pop() while index < len(next_nodes[v]): next_v = next_nodes[v][index][0] w = next_nodes[v][index][1] if parents[v] == next_v: index += 1 continue parents[next_v] = v parents_weigths[next_v] = w depths[next_v] = depths[v] + 1 stack.append((v, index + 1)) stack.append((next_v, 0)) break max_depth = max(depths) k = 0 while (1 << k) < max_depth: k += 1 max_k = k + 1 parents_list = [[-1] * N for _ in range(max_k)] parents_weights_list = [[-1] * N for _ in range(max_k)] parents_list[0] = parents parents_weights_list[0] = parents_weigths for k in range(1, max_k): for i in range(N): p = parents_list[k - 1][i] w = parents_weights_list[k - 1][i] if p != -1: parents_list[k][i] = parents_list[k - 1][p] parents_weights_list[k][i] = max(parents_weights_list[k - 1][p], w) # 価値が高い順に for i in range(K): if used[i]: continue u, v, w_base, p = edges[i] w0 = -1 if p > answer: if depths[v] < depths[u]: u, v = v, u if depths[u] < depths[v]: d = depths[v] - depths[u] for k in reversed(range(max_k)): if d >= (1 << k): w0 = max(w0, parents_weights_list[k][v]) v = parents_list[k][v] d -= 1 << K if u == v: if mst_weight - w0 + w_base <= C: answer = p continue for k in reversed(range(max_k)): if parents_list[k][u] == -1 or parents_list[k][v] == -1: continue if parents_list[k][u] != parents_list[k][v]: w0 = max(w0, parents_weights_list[k][u]) w0 = max(w0, parents_weights_list[k][v]) u = parents_list[k][u] v = parents_list[k][v] w0 = max(parents_weigths[u], w0) w0 = max(parents_weigths[v], w0) if mst_weight - w0 + w_base <= C: answer = p continue print(answer) if __name__ == "__main__": main()