from typing import List, Tuple, Optional import sys import itertools import heapq import bisect from collections import deque, defaultdict from functools import lru_cache, cmp_to_key input = sys.stdin.readline # for AtCoder Easy test if __file__ != 'prog.py': # sys.setrecursionlimit(10 ** 6) pass def readints(): return map(int, input().split()) def readlist(): return list(readints()) def readstr(): return input().rstrip() class Dijkstra: def __init__(self, N: int, E: List[List[Tuple[int, int]]], start: int = 0, inf: int = 1 << 50): self.N = N self.E = E self.start = start self.inf = inf self.C = [self.inf] * N self.prev = [None] * N self._calculate() def get_cost(self, i: int) -> Optional[int]: """return cost to i-th vertex. return inf if the vertex is unreachable.""" return self.C[i] def get_path(self, i) -> Optional[List[int]]: """return shortest path to i-th vertex if reachable otherwise None""" if not self.reachable(i): return None p = [] cur = i while cur is not None: p.append(cur) cur = self.prev[cur] p.reverse() return p def reachable(self, i) -> bool: """return whether i-th vertex is reachable from start""" return self.C[i] < self.inf def _calculate(self) -> None: h = [(0, self.start)] self.C[self.start] = 0 visited = [False] * self.N while h: _, v = heapq.heappop(h) if visited[v] is True: continue visited[v] = True for c, d in self.E[v]: if self.C[d] > self.C[v] + c: self.C[d] = self.C[v] + c self.prev[d] = v heapq.heappush(h, (self.C[d], d)) N, M = readints() edges = [tuple(readints()) for _ in range(M)] T = readlist() L = 10000 E = [[] for _ in range(N * (L + 1))] for a, b, c in edges: a -= 1 b -= 1 def h(i, t): return i * (L + 1) + t for j in range(L + 1): if j + T[a] > L: break if j + T[a] == 0: continue cost = T[a] + c // (j + T[a]) E[h(a, j)].append((cost, h(b, j + T[a]))) for j in range(L + 1): if j + T[b] > L: break if j + T[b] == 0: continue cost = T[b] + c // (j + T[b]) E[h(b, j)].append((cost, h(a, j + T[b]))) solver = Dijkstra(N * (L + 1), E) ans = solver.inf for j in range(L + 1): ans = min(ans, solver.get_cost((N - 1) * (L + 1) + j)) print(ans)