using System;
using System.Linq;
using System.Collections.Generic;
//using System.Numerics;
using Debug = System.Diagnostics.Debug;
using SB = System.Text.StringBuilder;
using Number = System.Int64;
namespace Program {
    public class Solver {
        public void Solve() {
            for (int T = 1; ; T++) {
                var n = ri;
                if (n == 0) break;
                var H = ri;
                var b = Enumerate(n, x => ri);
                var c = Enumerate(n, x => Enumerate(n, y => ri));
                var l = 0.0; var r = 1001.0;
                Func<double, bool[]> f = x => {
                    var mf = new MaxFlow.MaxFlow(n + 2);
                    var src = n;
                    var sink = src + 1;
                    for (int i = 0; i < n; i++) {
                        mf.AddDirectedEdge(src, i, b[i]);
                        mf.AddDirectedEdge(i, sink, x);
                        for (int j = 0; j < n; j++)
                            if (i != j)
                                mf.AddDirectedEdge(i, j, c[i][j]);
                    }
                    mf.Execute(src, sink);
                    //Debug.WriteLine($"{res} {n * x}");
                    var q = new Queue<int>();
                    var vis = new bool[n + 2];
                    vis[src] = vis[sink] = true;
                    q.Enqueue(src);
                    while (q.Any()) {
                        var p = q.Dequeue();
                        foreach (var e in mf.G[p])
                            if (e.Cap > 1e-8 && !vis[e.To]) {
                                vis[e.To] = true;
                                q.Enqueue(e.To);
                            }
                    }
                    return vis.Take(n).Select(y => y).ToArray();
                };
                for (int _ = 0; _ < 100; _++) {
                    var m = (l + r) / 2;
                    if (f(m).All(x => x)) l = m;
                    else r = m;
                }
                Debug.WriteLine(r);
                var ans = f(r);
                var cnt = ans.Count(x => !x);
                Console.WriteLine("Case {0}:", T);
                var ss = new string[n];
                for (int i = 0; i < n; i++)
                    ss[i] = !ans[i] ? (1.0 * H / cnt).ToString("0.000000000000") : "0.0";
                Console.WriteLine(ss.AsJoinedString());
            }

        }
        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 Program.IO.Printer(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
namespace MaxFlow {
    using C = System.Double;

    #region MaxFlow
    public partial class MaxFlow {
        public readonly List<Edge>[] G;
        readonly int[] lv, iter;
        public MaxFlow(int V) {
            G = new List<Edge>[V];
            lv = new int[V];
            iter = new int[V];
            for (int i = 0; i < G.Length; i++)
                G[i] = new List<Edge>();
        }

        public void AddDirectedEdge(int from, int to, C cap) {
            addEdge(from, to, cap, 0);
        }

        public void AddUndirectedEdge(int from, int to, C cap) {
            addEdge(from, to, cap, cap);
        }
        void addEdge(int f, int t, C c1, C c2) {
            var a = new Edge(t, c1);
            var b = new Edge(f, c2);
            Edge.Link(a, b);
            G[f].Add(a);
            G[t].Add(b);
        }


        public C Execute(int src, int sink, C f = -1) {
            C flow = 0;
            if (f < 0) f = C.MaxValue;
            while (f > 0) {
                bfs(src);
                if (lv[sink] == 0) return flow;
                Array.Clear(iter, 0, iter.Length);
                C df;
                while ((df = dfs(src, sink, f)) > 0) {
                    flow += df; f -= df;
                }
            }
            return flow;
        }

        void bfs(int s) {
            Array.Clear(lv, 0, lv.Length);
            var q = new Queue<int>();
            lv[s] = 1;
            q.Enqueue(s);
            while (q.Count > 0) {
                var v = q.Dequeue();
                foreach (var e in G[v])
                    if (e.Cap > 0 && lv[e.To] == 0) {
                        lv[e.To] = lv[v] + 1;
                        q.Enqueue(e.To);
                    }
            }

        }
        C dfs(int v, int t, C f) {
            if (v == t) return f;
            C ret = 0;
            for (; iter[v] < G[v].Count; iter[v]++) {
                var e = G[v][iter[v]];
                if (e.Cap <= 0 || lv[v] >= lv[e.To]) continue;
                C df = dfs(e.To, t, Math.Min(f, e.Cap));
                if (df <= 0) continue;
                e.Cap -= df;
                e.Rev.Cap += df;
                ret += df; f -= df;
                if (f == 0) break;
            }
            return ret;

        }
    }
    public class Edge {
        public static void Link(Edge e1, Edge e2) {
            e1.Rev = e2; e2.Rev = e1;
        }
        public int To { get; private set; }
        public Edge Rev { get; private set; }
        public C Cap { get; set; }
        public Edge(int t, C c) {
            To = t;
            Cap = c;
        }
        public override string ToString() {
            return string.Format("to: {0}, cap: {1}", To, Cap);
        }
    }
    #endregion

}


Measured memory_bytes: 12804