from heapq import heappop, heappush
import sys
input = sys.stdin.readline

def solve() : 
    N, M = map(int, input().split())

    edge = [[] for i in range(N)]
    for i in range(M):
        a, b, c = map(int, input().split())
        a-=1
        b-=1
        edge[a].append((c, b))
        edge[b].append((c, a))

    dist=[[float('inf'),float('inf')]for i in range(N)]
    dist[0]=[0,0]

    pq = []
    heappush(pq, (0,0,0))
    heappush(pq, (0,1,0))
    while pq:
        d, num, cur = heappop(pq)
        if d > dist[cur][num]: continue
        for cost, to in edge[cur]:
            ret = d+cost
            if dist[to][num]>ret : 
                dist[to][num]=ret
                heappush(pq, (ret,num,to))
            if num == 0 :
                if dist[to][1]>d : 
                    dist[to][1]=d
                    heappush(pq, (d,1,to))
    for x,y in dist :
        print(x+y)
solve()