import sys
input=lambda: sys.stdin.readline().rstrip()

n,m=map(int,input().split())
nn=2*n
edge=[[] for i in range(nn)]
for i in range(m):
  a,b,c=map(int,input().split())
  edge[a-1].append(c*10**6+b-1)
  edge[b-1].append(c*10**6+a-1)
  edge[a-1].append(b-1+n)
  edge[b-1].append(a-1+n)
  edge[a-1+n].append(c*10**6+b-1+n)
  edge[b-1+n].append(c*10**6+a-1+n)

import heapq
def dijkstra_heap(s):
  d=[float("inf")]*nn
  used=[True]*nn
  d[s]=0
  used[s]=False
  edgelist=[]
  for e in edge[s]:
    heapq.heappush(edgelist,e)
  while edgelist:
    minedge=heapq.heappop(edgelist)
    minedge_cost=minedge//(10**6)
    minedge_v=minedge%(10**6)
    if not used[minedge_v]:
      continue
    d[minedge_v] = minedge_cost
    used[minedge_v] = False
    for e in edge[minedge_v]:
      e_cost=e//(10**6)
      e_v=e%(10**6)
      if used[e_v]:
        heapq.heappush(edgelist,e+minedge_cost*10**6)
  return d
D=dijkstra_heap(0)
for i in range(n):
  print(D[i]+min(D[n+i],D[i]))