def oi(): return int(input()) def os(): return input() def mi(): return list(map(int, input().split())) # import sys # input = sys.stdin.readline # import sys # sys.setrecursionlimit(10**8) # import pypyjit # pypyjit.set_param('max_unroll_recursion=-1') input_count = 0 input_count = 0 N,M,K = mi() NODE = N LOOP_NUM = M maps = {i:[] for i in range(NODE)} cost_dict = {} for i in range(LOOP_NUM): a,b,c = mi() maps[a-1].append((b-1, c)) maps[b-1].append((a-1,c)) cost_dict[(a-1,b-1)] = c cost_dict[(b-1,a-1)] = c # K 未満の時 from collections import deque reached = [0] * N ## 1つ前のノードを持たせると微妙に遅くなるのでやめよう deq = deque([[0,0]]) mins = float("inf") while deq: node, count = deq.pop() #BFS if node == N-1: if count < K : mins = 0 break reached[node] = -1 for next_node, cost in maps[node]: # 訪問済み判定 if reached[next_node] == -1: continue if count+1 <= K: mins = min(mins, cost) reached[next_node] = -1 deq.append([next_node, count+1]) # 以下の問題にてテスト済み # https://atcoder.jp/contests/abc213/tasks/abc213_e from collections import deque def zero_one_dfs(target, K): zero_deq = deque([0]) count=0 use_node = set([]) while True: one_deq = deque([]) while zero_deq: node = zero_deq.pop() # 目的地に到達したら if node == N-1: if count < K: return True # コスト0の時の移動パターン for next_node, cost in maps[node]: if (node,next_node) not in use_node: use_node.add((node,next_node)) use_node.add((next_node, node)) if cost > target: one_deq.append(next_node) else: zero_deq.append(next_node) count+=1 zero_deq = one_deq if count >= K: return False def is_ok(arg): # 条件を満たすかどうか?問題ごとに定義 # 初めてFalseからTrueになるTrueの地点を取得 return zero_one_dfs(arg, K) def meguru_bisect(ng, ok): ''' 初期値のng,okを受け取り,is_okを満たす最小(最大)のokを返す まずis_okを定義すべし ng ok は とり得る最小の値-1 とり得る最大の値+1 最大最小が逆の場合はよしなにひっくり返す ''' while (abs(ok - ng) > 1): mid = (ok + ng) // 2 if is_ok(mid): ok = mid else: ng = mid return ok if mins != 0: mins = meguru_bisect(0, 10**5 + 1) print(mins)