import sys
from heapq import heapify,heappush,heappop
input = sys.stdin.readline
INF = 10 ** 16

n,m = map(int,input().split())
G = [[] for _ in range(n)]
for _ in range(m):
    a,b,c = map(int,input().split())
    a -= 1
    b -= 1
    G[a].append((b,c))
    G[b].append((a,c))

dist = [INF] * n
dist[0] = 0

q = [(0,0)]
heapify(q)

while q:
    d,v = heappop(q)
    if dist[v] < d:
        continue
    for e,cost in G[v]:
        if dist[e] > dist[v] + cost:
            dist[e] = dist[v] + cost
            heappush(q,(dist[e],e))

dist1 = [INF] * n
dist1[0] = 0
heappush(q,(0,0))
while q:
    d,v = heappop(q)
    if dist1[v] < d:
        continue
    for e,cost in G[v]:
        m = min(dist[v],dist1[v] + cost)
        if dist1[e] > m:
            dist1[e] = m
            heappush(q,(dist1[e],e))

print('\n'.join(map(str,[dist[i] + dist1[i] for i in range(n)])))