N,M = map(int, input().split())
E = [[] for _ in range(N)]
for _ in range(M):
    a,b,c = map(int, input().split())
    a -= 1
    b -= 1
    E[a].append(c*N+b)
    E[b].append(c*N+a)

from collections import deque
inf = 10**15
d1 = [inf]*N
d2 = [inf]*N
q = deque()
q.append((0, 0, 0))
while q:
    temp = q.popleft()
    u = temp[0]
    len = temp[1]
    dist = temp[2]
    d1[u] = min(d1[u], dist)
    d2[u] = min(d2[u], dist-len)
    for e in E[u]:
        r = e//N
        v = e%N
        if d1[v] <= dist+r and d2[v] <= dist+r-max(len, r):
            continue
        q.append((v, max(len, r), dist+r))

for i in range(N):
    print(d1[i]+d2[i])