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
def t2i(*vs):
    n = len(vs)
    val = 1
    nvs = [1]
    for v in vs[::-1]:
        val *= v
        nvs.append(val)
    vs = tuple(nvs[::-1])
    def to(*args):
        return sum((v1*v2 for v1,v2 in zip(vs, args)))
    def frm(val):
        res = []
        for v in vs:
            tmp, val = divmod(val, v)
            res.append(tmp)
        return res
    return to,frm
def t2i(*vs):
    n = len(vs)+1
    nvs = [1]
    val = 1
    for v in vs[::-1]:
        val *= v
        nvs.append(val)
    vs = nvs[::-1]
    tos = "def to(%s):\n" % (",".join([f"v{i}" for i in range(n)]))
    tos += "    val = 0\n"
    for i,v in enumerate(vs):
        tos += f"    val += {v} * v{i}\n"
    tos += "    return val"
    frms = f"def frm(val):\n"
    for i in range(n-1):
        frms += f"    v{i},val = divmod(val, {vs[i]})\n"
    frms += "    return %s" % ((", ".join([f"v{i}" for i in range(n-1)]) + ", val"))
    return tos, frms
tos, frms = t2i(n,2)
exec(tos)
exec(frms)
# to,frm = t2i(n,2)
inf = 2*s + 10
vals = [[inf]*n for _ in range(2)]
vals[0][n-1] = 0
q = [to(0, n-1, 0)]
while q:
    d,u,x = frm(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, to(nd, v, nx))
ans = vals[1]
write("\n".join(map(str, ans[:n-1])))