## https://yukicoder.me/problems/no/1601

import heapq

MAX_VALUE = 10 ** 18

def main():
    N, M = map(int, input().split())
    edges = []
    for _ in range(M):
        a, b, c, x = map(int, input().split())
        edges.append((a - 1, b - 1, c, x == 1))
    
    # グラフ構築
    next_nodes = [[] for _ in range(2 * N)]
    for a, b, c, x in edges:
        if x == 0:
            next_nodes[a].append((b, c))
            next_nodes[b].append((a, c))
            next_nodes[a + N].append((b + N, c))
            next_nodes[b + N].append((a + N, c))
        else:
            next_nodes[a + N].append((b, c))
            next_nodes[b + N].append((a, c))
            next_nodes[a + N].append((b + N, c))
            next_nodes[b + N].append((a + N, c))
                
    fix = [MAX_VALUE] * (2 * N)
    seen = [MAX_VALUE] * (2 * N)
    seen[2 * N - 1] = 0
    queue = []
    heapq.heappush(queue, (0, 2 * N - 1))
    while len(queue) > 0:
        cost ,v = heapq.heappop(queue)
        if fix[v] < MAX_VALUE:
            continue

        fix[v] = cost
        for w, c in next_nodes[v]:
            if fix[w] < MAX_VALUE:
                continue

            new_cost = c + cost
            if seen[w] > new_cost:
                seen[w] = new_cost
                heapq.heappush(queue, (new_cost, w))
    for i in range(N - 1):
        print(fix[i])



if __name__ == "__main__":
    main()