from collections import defaultdict
n,m,s,t =list(map(int,input().split()))

MAX_VAL = 10**20
uvab =  [list(map(int,input().split())) for _ in range(m)]
jpy_cost = defaultdict(lambda :defaultdict(lambda :MAX_VAL))
snuke_cost = defaultdict(lambda :defaultdict(lambda :MAX_VAL))


for u,v,a,b in uvab:
    u=u-1
    v=v-1
    jpy_cost[u][v] = a
    jpy_cost[v][u] =a
    snuke_cost[u][v]=b
    snuke_cost[v][u]=b


def dijkstra(glaph, start, goal,g_size):
    def get_path(start, goal, prev):
        path = []
        now = goal
        path.append(now)
        while True:
            path.append(prev[now])
            if prev[now] == start: break
            now = prev[now]
        path.reverse()
        return path
    #g_size = len(glaph)
    visited = [False] * g_size
    cost = [MAX_VAL] * g_size
    prev = [None] * g_size
    cost[start] = 0
    prev[start] = start
    now = start
    while True:
        min = MAX_VAL
        next = -1
        visited[now] = True
        #for i in range(g_size):
        for i in glaph[now]:
            if visited[i]: continue
            if glaph[now][i]:
                tmp_cost = glaph[now][i] + cost[now]
                if cost[i] > tmp_cost:
                    cost[i] = tmp_cost
                    prev[i] = now
            if min > cost[i]:
                min = cost[i]
                next = i
        if next == -1: break
        now = next

    return cost
    #return [get_path(start, goal, prev), cost[goal]]


jpy_dijk = (dijkstra(jpy_cost,s-1,0,n))
snuke_dijk = (dijkstra(snuke_cost,t-1,0,n))

#print(jpy_dijk)
#print(snuke_dijk)
#print([jpy_dijk[i]+snuke_dijk[i] for i in range(n)])

#ord n
res = []
min_val = MAX_VAL
for i in reversed(range(n)):
    #都市  i で両替
    val = jpy_dijk[i]+ snuke_dijk[i]
    assert val < MAX_VAL
    min_val=min(min_val,val)
    res.append(min_val)
#ord n
for x in reversed(res):
    print(10**15-  x)


### FIXED CODE ###

from collections import defaultdict
from heapq import heapify, heappop
import heapq
n,m,s,t =list(map(int,input().split()))

MAX_VAL = 10**20
uvab =  [list(map(int,input().split())) for _ in range(m)]
jpy_cost = defaultdict(dict)
snuke_cost = defaultdict(dict)


for u,v,a,b in uvab:
    u=u-1
    v=v-1
    jpy_cost[u][v] = a
    jpy_cost[v][u] =a
    snuke_cost[u][v]=b
    snuke_cost[v][u]=b


# Dijktra's shortest path algorithm. Prints the path from source to target.


def dijkstra(adj, source):
    INF = MAX_VAL
    dist = [INF for x in range(n)]
    dist[source] = 0
    PQ = []
    heapq.heappush(PQ, [dist[source], source])

    while (PQ):
        u_dist,u_id = heapq.heappop(PQ)  # u is a tuple [u_dist, u_id]
        if u_dist == dist[u_id]:
            for v in adj[u_id]:
                w_uv = adj[u_id][v]
                if dist[u_id] + w_uv < dist[v]:
                    dist[v] = dist[u_id] + w_uv
                    heapq.heappush(PQ, [dist[v], v])
    return dist


jpy_dijk =  dijkstra(jpy_cost,s-1)
snuke_dijk = dijkstra(snuke_cost,t-1)
#
# print(s,t)
# print(jpy_dijk)
# print(snuke_dijk)
# print([jpy_dijk[i]+snuke_dijk[i] for i in range(n)])

#ord n
res = []
min_val = MAX_VAL
for i in reversed(range(n)):
    #都市  i で両替
    val = jpy_dijk[i]+ snuke_dijk[i]
    assert val < MAX_VAL
    min_val=min(min_val,val)
    res.append(min_val)
#ord n
for x in reversed(res):
    print(10**15-  x)