import sys
input = lambda : sys.stdin.readline().rstrip()

sys.setrecursionlimit(2*10**5+10)
write = lambda x: sys.stdout.write(x+"\n")
debug = lambda x: sys.stderr.write(x+"\n")
writef = lambda x: print("{:.12f}".format(x))


n,m = list(map(int, input().split()))
ns = [[] for _ in range(n)]
s = 0
for i in range(m):
    a,b,c,x = map(int, input().split())
    a -= 1
    b -= 1
    ns[a].append((c,b,x))
    ns[b].append((c,a,x))
    s += c
from heapq import heappop as hpp, heappush as hp
inf = 2*s + 10
vals = [[inf]*n for _ in range(2)]
vals[0][n-1] = 0
q = [(0, n-1, 0)]
while q:
    d,u,x = hpp(q)
    if vals[x][u]<d:
        continue
    for c,v,xx in ns[u]:
        nx = x|xx
        nd = d+c
        if vals[nx][v]>nd:
            vals[nx][v] = nd
            hp(q, (nd, v, nx))
ans = vals[1]
write("\n".join(map(str, ans[:n-1])))