using System;
using System.Linq;
using System.Collections.Generic;
using Debug = System.Diagnostics.Debug;
using SB = System.Text.StringBuilder;
namespace Program {
    public class Solver {


        public void Solve() {

            for (; ; ) {
                var n = ri;
                if (n == 0) return;
                var L = ri;
                var d = Enumerate(n * (n - 1) / 2 - 1, x => ri);
                var cnt = new int[420];
                foreach (var x in d) cnt[x]++;
                var dist = new int[n]; dist[n - 1] = L;
                for (int i = 1; i < n - 1; i++) dist[i] = -1;
                var ans = new List<int[]>();
                solve(0, n - 1, dist, cnt, ans, L);
                ans.Sort(default(cmp));
                var last = Enumerate(n - 1, x => -1);
                foreach (var x in ans) {
                    if (default(cmp).Compare(x, last) != 0)
                        Console.WriteLine(x.AsJoinedString());
                    last = x;
                }
                Console.WriteLine("-----");
            }
        }
        struct cmp: IComparer<int[]> {
            public int Compare(int[] x, int[] y) {
                for (int i = 0; i < x.Length; i++)
                    if (x[i] < y[i]) return -1;
                    else if (x[i] > y[i]) return 1;
                return 0;
            }
        }

        void solve(int l, int r, int[] pos, int[] cnt, List<int[]> ans, int last) {
            if (l + 1 == r) {
                ans.Add(Enumerate(pos.Length - 1, x => pos[x + 1] - pos[x]));
                return;
            }
            for (; last >= 0; last--) {
                if (cnt[last] == 0) continue;
                int p = l + 1; int nl = l + 1; int nr = r;
                for (int _ = 0; _ < 2; _++) {
                    var ok = true;
                    pos[p] = _ == 0 ? pos[pos.Length - 1] - last : last;
                    for (int i = 0; i < pos.Length; i++)
                        if (i != p && pos[i] != -1) {
                            var d = Math.Abs(pos[i] - pos[p]);
                            cnt[d]--;
                            ok &= cnt[d] >= 0;
                        }
                    if (ok) solve(nl, nr, pos, cnt, ans, last);
                    for (int i = 0; i < pos.Length; i++)
                        if (i != p && pos[i] != -1) {
                            var d = Math.Abs(pos[i] - pos[p]);
                            cnt[d]++;
                            ok &= cnt[d] >= 0;
                        }
                    pos[p] = -1;
                    p = r - 1; nl = l; nr = r - 1;
                }
                return;
            }


        }


        const long INF = 1L << 60;
        //int[] dx = { -1, 0, 1, 0 };
        //int[] dy = { 0, 1, 0, -1 };
        //*
        int ri { get { return sc.Integer(); } }
        long rl { get { return sc.Long(); } }
        double rd { get { return sc.Double(); } }
        string rs { get { return sc.Scan(); } }
        //*/

        public IO.StreamScanner sc = new IO.StreamScanner(Console.OpenStandardInput());
        static T[] Enumerate<T>(int n, Func<int, T> f) { var a = new T[n]; for (int i = 0; i < n; ++i) a[i] = f(i); return a; }
        static public void Swap<T>(ref T a, ref T b) { var tmp = a; a = b; b = tmp; }
    }
}

#region main
static class Ex {
    static public string AsString(this IEnumerable<char> ie) { return new string(ie.ToArray()); }
    static public string AsJoinedString<T>(this IEnumerable<T> ie, string st = " ") {
        return string.Join(st, ie.Select(x => x.ToString()).ToArray());
        //return string.Join(st, ie);
    }
    static public void Main() {
        Console.SetOut(new System.IO.StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false });
        var solver = new Program.Solver();
        solver.Solve();
        Console.Out.Flush();
    }
}
#endregion
#region Ex
namespace Program.IO {
    using System.IO;
    using System.Text;
    using System.Globalization;
    public class Printer: StreamWriter {
        public override IFormatProvider FormatProvider { get { return CultureInfo.InvariantCulture; } }
        public Printer(Stream stream) : base(stream, new UTF8Encoding(false, true)) { }
    }
    public class StreamScanner {
        public StreamScanner(Stream stream) { str = stream; }
        public readonly Stream str;
        private readonly byte[] buf = new byte[1024];
        private int len, ptr;
        public bool isEof = false;
        public bool IsEndOfStream { get { return isEof; } }
        private byte read() {
            if (isEof) return 0;
            if (ptr >= len) { ptr = 0; if ((len = str.Read(buf, 0, 1024)) <= 0) { isEof = true; return 0; } }
            return buf[ptr++];
        }
        public char Char() { byte b = 0; do b = read(); while ((b < 33 || 126 < b) && !isEof); return (char)b; }

        public string Scan() {
            var sb = new StringBuilder();
            for (var b = Char(); b >= 33 && b <= 126; b = (char)read())
                sb.Append(b);
            return sb.ToString();
        }
        public string ScanLine() {
            var sb = new StringBuilder();
            for (var b = Char(); b != '\n' && b != 0; b = (char)read())
                if (b != '\r') sb.Append(b);
            return sb.ToString();
        }
        public long Long() { return isEof ? long.MinValue : long.Parse(Scan()); }
        public int Integer() { return isEof ? int.MinValue : int.Parse(Scan()); }
        public double Double() { return isEof ? double.NaN : double.Parse(Scan(), CultureInfo.InvariantCulture); }
    }
}
#endregion


Measured memory_bytes: 9980