from heapq import heappop,heappush
from collections import deque
import sys
input = sys.stdin.readline
N,M=map(int,input().split())
table=[[] for i in range(N)]
for i in range(M):
    a,b,c=map(int,input().split())
    a,b=a-1,b-1
    table[a].append((b,c))
    table[b].append((a,c))
H=[]
cost=[10**18]*N
cost[0]=0
H.append((0,0))
while H:
    pt,cos=heappop(H)
    if cost[pt]<cos:
        continue
    for y,c in table[pt]:
        if cost[y]>cost[pt]+c:
            cost[y]=cost[pt]+c
            heappush(H,(y,cost[y]))
dp=[10**19]*N
dp[0]=0
def f(x):
    visit=[False]*N
    visit[x]=True
    H=deque()
    H.append(x)
    while H:
        z=H.popleft()
        for y,c in table[z]:
            if not visit[y]:
                dp[y]=min(dp[y],dp[z]+c,cost[z])
                visit[y]=True
                H.append(y)
    return
f(0)
dp2=[10**19]*N
dp2[0]=0
for x in range(N):
    for y,c in table[x]:
        dp2[x]=min(dp2[x],dp[y]+c)
        dp2[x]=min(dp2[x],cost[y])
for i in range(N):
    print(dp2[i]+cost[i])