import os
import sys
import heapq

N, M = map(int, input().split(' '))
e={}
for i in range(N):
    for j in range(N):
        e[(i,j)] = sys.maxsize

e={}
for i in range(N):
    e[i] = {}
for i in range(M):
    v1, v2, cost = [int(x) for x in input().split(' ')]
    e[v1 -1][v2 -1] = cost
    e[v2 -1][v1 -1] = cost

d = [sys.maxsize] * N
d_exe = [sys.maxsize] * N
d[0] = 0
d_exe[0] = 0
h = []
heapq.heappush(h, (0,0))
while len(h) > 0:
    p = heapq.heappop(h)
    for i in e[p[1]].keys():
        alt = p[0] + e[p[1]][i]
        if d[i] < alt : continue
        d[i] = alt
        heapq.heappush(h,(alt, i))


h = []
heapq.heappush(h, (0,0))
while len(h) > 0:
    p = heapq.heappop(h)
    for i in e[p[1]].keys():
        alt = min(p[0] + e[p[1]][i],d[p[1]])
        if d_exe[i] < alt : continue
        d_exe[i] = alt
        heapq.heappush(h,(alt, i))

for i in range(N):
   print(d[i] + d_exe[i])