import sys
input = sys.stdin.readline
sys.setrecursionlimit(10**8)

N,M=map(int,input().split())
E=[list(map(int,input().split())) for i in range(M)]

EDGE=[[] for i in range(N+1)]

for x,y,c in E:
    EDGE[x].append([y,c])
    EDGE[y].append([x,c])

MIN=[float("inf")]*(N+1)
MIN2=[float("inf")]*(N+1)

MIN[1]=0
MIN2[1]=0

def roadsearch(town,dist,maxdist):
    #print(town,dist,maxdist)
    for to,cost in EDGE[town]:
        Flag=0
        if maxdist>cost:
            maxdist_town=maxdist
        else:
            maxdist_town=cost
            

        if MIN[to]>dist+cost:
            MIN[to]=dist+cost
            Flag=1

        if MIN2[to]>dist+cost-maxdist_town:
            MIN2[to]=dist+cost-maxdist_town
            Flag=1

        if Flag:
            roadsearch(to,dist+cost,maxdist_town)

roadsearch(1,0,0)  

for i in range(1,N+1):
    print(MIN[i]+MIN2[i])