import sys input = sys.stdin.readline from collections import defaultdict from heapq import * def dijkstra(s, t): dist = [10**18]*c dist[s] = 0 pq = [] heappush(pq, (dist[s], s)) while pq: d, v = heappop(pq) if dist[v]dist[v]+w: dist[nv] = dist[v]+w heappush(pq, (dist[nv], nv)) return dist[t] N, M, K, S, T = map(int, input().split()) node = [set() for _ in range(N)] node[0].add(S) node[-1].add(T) abc = [tuple(map(int, input().split())) for _ in range(M)] for ai, bi, ci in abc: node[ai-1].add(bi) node[ai].add(ci) serial = defaultdict(dict) c = 0 for i in range(N): l = list(node[i]) l.sort() for j in range(len(l)): serial[i][l[j]] = c c += 1 adj_list = [[] for _ in range(c)] for i in range(N): l = list(serial[i].items()) for j in range(len(l)-1): ps, s = l[j] pt, t = l[j+1] adj_list[s].append((t, pt-ps)) adj_list[t].append((s, pt-ps)) for ai, bi, ci in abc: s = serial[ai-1][bi] t = serial[ai][ci] adj_list[s].append((t, 0)) ans = dijkstra(serial[0][S], serial[N-1][T]) if ans==10**18: print(-1) else: print(ans)