import heapq
import sys

input = sys.stdin.readline

n, m = map(int, input().split())
e = [[] for _ in range(n)]
for _ in range(m):
    ai, bi, ci = map(int, input().split())
    e[ai-1].append((bi-1, ci))
    e[bi-1].append((ai-1, ci))

q = [(0, 0, 0)]
cost = [[None, None] for _ in range(n)]
cost[0][1] = 0
while q:
    c, f, x = heapq.heappop(q)
    if cost[x][f] is not None:
        continue
    cost[x][f] = c

    for y, cn in e[x]:
        if cost[y][f] is None:
            heapq.heappush(q, (c+cn, f, y))
        if not f and cost[y][1] is None:
            heapq.heappush(q, (c, 1, y))


for i in range(n):
    sys.stdout.write(f"{sum(cost[i])}\n")