using System;
using static System.Console;
using System.Linq;
using System.Collections.Generic;

class Program
{
    static int NN => int.Parse(ReadLine());
    static int[] NList => ReadLine().Split().Select(int.Parse).ToArray();
    static int[][] NArr(long n) => Enumerable.Repeat(0, (int)n).Select(_ => NList).ToArray();
    public static void Main()
    {
        Solve();
    }
    static void Solve()
    {
        var c = NList;
        var (n, m) = (c[0], c[1]);
        var map = NArr(m);
        var tree = new List<(int to, int len, int x)>[n];
        for (var i = 0; i < n; ++i) tree[i] = new List<(int to, int len, int x)>();
        foreach (var edge in map)
        {
            tree[edge[0] - 1].Add((edge[1] - 1, edge[2], edge[3]));
            tree[edge[1] - 1].Add((edge[0] - 1, edge[2], edge[3]));
        }
        var INF = long.MaxValue / 2;
        var q = new PriorityQueue<Pair>(n, false);
        q.Enqueue(new Pair(n - 1, 0));
        var len = Enumerable.Repeat(INF, n).ToArray();
        var ans = (long[]) len.Clone();
        len[^1] = 0;
        while (q.Count > 0)
        {
            var cur = q.Dequeue();
            if (cur.Len != len[cur.Pos]) continue;
            foreach (var next in tree[cur.Pos])
            {
                if (len[next.to] <= cur.Len + next.len) continue;
                len[next.to] = cur.Len + next.len;
                q.Enqueue(new Pair(next.to, len[next.to]));
            }
        }
        foreach (var edge in map) if (edge[3] == 1)
        {
            ans[edge[0] - 1] = Math.Min(ans[edge[0] - 1], len[edge[1] - 1] + edge[2]);
            ans[edge[1] - 1] = Math.Min(ans[edge[1] - 1], len[edge[0] - 1] + edge[2]);
        }
        WriteLine(string.Join(" ", ans));
        for (var i = 0; i < n; ++i) if (ans[i] < INF) q.Enqueue(new Pair(i, ans[i]));
        while (q.Count > 0)
        {
            var cur = q.Dequeue();
            if (cur.Len != ans[cur.Pos]) continue;
            foreach (var next in tree[cur.Pos])
            {
                if (ans[next.to] <= cur.Len + next.len) continue;
                ans[next.to] = cur.Len + next.len;
                q.Enqueue(new Pair(next.to, ans[next.to]));
            }
        }
        WriteLine(string.Join("\n", ans.Take(n - 1)));
    }
    struct Pair : IComparable<Pair>
    {
        public int Pos;
        public long Len;
        public Pair(int pos, long len)
        {
            Pos = pos; Len = len;
        }
        public int CompareTo(Pair b)
        {
            return Len.CompareTo(b.Len);
        }
    }
    class PriorityQueue<T> where T : IComparable<T>
    {
        public T[] List;
        public int Count;
        bool IsTopMax;
        public PriorityQueue(int count, bool isTopMax)
        {
            IsTopMax = isTopMax;
            List = new T[Math.Max(128, count)];
        }
        public void Enqueue(T value)
        {
            if (Count == List.Length)
            {
                var newlist = new T[List.Length * 2];
                for (var i = 0; i < List.Length; ++i) newlist[i] = List[i];
                List = newlist;
            }
            var pos = Count;
            List[pos] = value;
            ++Count;
            while (pos > 0)
            {
                var parent = (pos - 1) / 2;
                if (Calc(List[parent], List[pos], true)) break;
                Swap(parent, pos);
                pos = parent;
            }
        }
        public T Dequeue()
        {
            --Count;
            Swap(0, Count);
            var pos = 0;
            while (true)
            {
                var child = pos * 2 + 1;
                if (child >= Count) break;
                if (child + 1 < Count && Calc(List[child + 1], List[child], false)) ++child;
                if (Calc(List[pos], List[child], true)) break;
                Swap(pos, child);
                pos = child;
            }
            return List[Count];
        }
        bool Calc(T a, T b, bool equalVal)
        {
            var ret = a.CompareTo(b);
            if (ret == 0 && equalVal) return true;
            return IsTopMax ? ret > 0 : ret < 0;
        }
        void Swap(int a, int b)
        {
            var tmp = List[a];
            List[a] = List[b];
            List[b] = tmp;
        }
    }
}