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))

dp=[[float('inf') for i in range(n)]]
dp_passed=[[float('inf') for i in range(n)]]
dp[0][n-1]=0

while True:
  tmp_dp=dp[-1].copy()
  tmp_dp_passed=dp_passed[-1].copy()
  #print(tmp_dp)
  #print(tmp_dp_passed)
  for now in range(n):
    if dp[-1][now]!=float('inf'):
      now_cost=dp[-1][now]
      for nxt,c,x in G[now]:
        if x==0:
          tmp_dp[nxt]=min(tmp_dp[nxt],now_cost+c)
        if x==1:
          tmp_dp_passed[nxt]=min(tmp_dp_passed[nxt],now_cost+c)
    if dp_passed[-1][now]!=float('inf'):
      now_cost=dp_passed[-1][now]
      for nxt,c,x in G[now]:
        #print(f'tmp_dp_passed[nxt]={tmp_dp_passed[nxt]}')
        tmp_dp_passed[nxt]=min(tmp_dp_passed[nxt],now_cost+c)
  dp.append(tmp_dp)
  dp_passed.append(tmp_dp_passed)
  if (dp[-1]==dp[-2]) and (dp_passed[-1]==dp_passed[-2]):break

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