from heapq import heappop,heappush
import sys
input = sys.stdin.readline
N,M=map(int,input().split())
table=[[] for i in range(2*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))
    table[a].append((N+b,0))
    table[b].append((N+a,0))
    table[N+a].append((N+b,c))
    table[N+b].append((N+a,c))
H=[]
cost=[10**16]*(2*N)
cost[0]=0
H.append((0,0))
while H:
    cos,y=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,(cost[y],y))
print(0)
for i in range(1,N):
    print(cost[i]+cost[N+i])