import heapq
import sys
input=sys.stdin.readline
n,m=map(int,input().split())

G=[[] for i in range(n)]

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

d=[[float('inf') for i in range(n)] for j in range(2)]
#d=[float('inf') for i in range(n)]
#d_passed=[float('inf') for i in range(n)]
q=[]
heapq.heappush(q,[0,n-1,0])

while q:
  #print(q)
  d_now,now,ani=heapq.heappop(q)
  #print(d_now,now,ani)
  if ani==0:
    if d_now>=d[0][now] or d_now>=d[1][now]:continue
    d[now]=d_now
  else:
    if d_now>=d[1][now]:continue
    d[1][now]=d_now
  for nxt,c,x in G[now]:
    if ani==0 and x==0:
      heapq.heappush(q,[d_now+c,nxt,0])
    else:
      heapq.heappush(q,[d_now+c,nxt,1])

for i in range(n-1):
  print(d[1][i])