def main():
    from heapq import heappop, heappush
    from sys import stdin

    n,m = map(int,input().split())

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

    INF = 10**14

    dp = [[INF]*2 for i in range(n)]
    dp[0][0] = 0
    dp[0][1] = 0

    q = [(0, 0, 0)]#c, idx, use
    while q:
        c, j, use = heappop(q)
        abc = abcs[j]
        if dp[j][use] != c:
            continue
        for k in range(len(abc)):
            j1,c1 = abc[k]
            ndis = c1 + c
            if use == 0:
                if dp[j1][0] > ndis:
                    dp[j1][0] = ndis
                    heappush(q, (ndis, j1, 0))
                if dp[j1][1] > c:
                    dp[j1][1] = c
                    heappush(q, (c, j1, 1))
            else:
                if dp[j1][1] > ndis:
                    dp[j1][1] = ndis
                    heappush(q, (ndis, j1, 1))

    def dijkstra(s, n): # (始点, ノード数)
        dist = [INF] * n
        hq = [(0, s)] # (distance, node)
        dist[s] = 0
        seen = [False] * n # ノードが確定済みかどうか
        while hq:
            tmp = heappop(hq) # ノードを pop する
            v = tmp[1]
            c = tmp[0]
            seen[v] = True
            if dist[v] != c:
                continue
            for to, cost in abcs[v]: # ノード v に隣接しているノードに対して
                if seen[to] == False and dist[v] + cost < dist[to]:
                    dist[to] = dist[v] + cost
                    heappush(hq, (dist[to], to))
        return dist

    fst = dijkstra(0,n)
    print(0)
    for i in range(1,n):
        print(fst[i]+dp[i][1])

main()