using Lib; using System; using System.Collections.Generic; using System.Diagnostics; using System.Diagnostics.Contracts; using System.IO; using System.Linq; using System.Runtime.CompilerServices; using System.Text; using static Lib.OutputLib; public class Solver { const bool MultiTestCase = false; void Solve() { const int MOD = 100000000; const int n = 50; Contract.Assert(n == ri); var a = new int[n * (n + 1) / 2]; for (int i = 0; i < n; i++) for (int j = 0; j <= i; j++) a[i * (i + 1) / 2 + j] = ri; var rnd = new XORShift.XORShift32(); var b = new int[1] { a[0] }; for (int k = 1; k < n; k++) { var sp_a = a.AsSpan(k * (k + 1) / 2, k + 1); var nb = new int[k + 1]; b.AsSpan().CopyTo(nb); int min = MOD, val = 0; for (int loop = 0; loop < 100; loop++) { nb[0] = rnd.Int(MOD); for (int i = 1; i < nb.Length; i++) { nb[i] = b[i - 1] - nb[i - 1]; if (nb[i] < 0) nb[i] += MOD; } int max = 0; for (int i = 0; i < nb.Length; i++) { int d = nb[i] - sp_a[i]; if (d < 0) d = -d; if (d > MOD - d) d = MOD - d; if (d > max) max = d; } if (min > max) { min = max; val = nb[0]; } } nb[0] = val; for (int i = 1; i < nb.Length; i++) { nb[i] = b[i - 1] - nb[i - 1]; if (nb[i] < 0) nb[i] += MOD; } b = nb; } WriteJoin(" ", b); } #pragma warning disable CS0162, CS8618 public Solver() { if (!MultiTestCase) Solve(); else for (int t = ri; t > 0; t--) Solve(); } #pragma warning restore CS0162, CS8618 const int IINF = 1 << 30; const long INF = 1L << 60; int ri { [MethodImpl(256)] get => (int)sc.Integer(); } long rl { [MethodImpl(256)] get => sc.Integer(); } uint rui { [MethodImpl(256)] get => (uint)sc.UInteger(); } ulong rul { [MethodImpl(256)] get => sc.UInteger(); } double rd { [MethodImpl(256)] get => sc.Double(); } string rs { [MethodImpl(256)] get => sc.Scan(); } string rline { [MethodImpl(256)] get => sc.Line(); } public StreamScanner sc = new StreamScanner(Console.OpenStandardInput()); void ReadArray(out int[] a, int n) { a = new int[n]; for (int i = 0; i < a.Length; i++) a[i] = ri; } void ReadArray(out long[] a, int n) { a = new long[n]; for (int i = 0; i < a.Length; i++) a[i] = rl; } void ReadArray(out T[] a, int n, Func read) { a = new T[n]; for (int i = 0; i < a.Length; i++) a[i] = read(); } void ReadArray(out T[] a, int n, Func read) { a = new T[n]; for (int i = 0; i < a.Length; i++) a[i] = read(i); } } static class Program { static public void Main(string[] args) { SourceExpander.Expander.Expand(); Console.SetOut(new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false }); new Solver(); Console.Out.Flush(); } } #region Expanded by https://github.com/kzrnm/SourceExpander namespace Lib{public partial class StreamScanner{public StreamScanner(Stream stream){str=stream;}private readonly Stream str;private readonly byte[]buf=new byte[1024];private int len,ptr;public bool isEof=false;public bool IsEndOfStream{get{return isEof;}}[MethodImpl(256)]private byte Read(){if(isEof)throw new EndOfStreamException();if(ptr>=len){ptr=0;if((len=str.Read(buf,0,1024))<=0){isEof=true;return 0;}}return buf[ptr++];}[MethodImpl(256)]public char Char(){byte b;do b=Read();while(b<33||126=33&&b<=126;b=(char)Read())sb.Append(b);return sb.ToString();}[MethodImpl(256)]public long Integer(){long ret=0;var ng=false;byte b;do b=Read();while(b!='-'&&(b<'0'||'9'double.Parse(Scan());}} namespace Lib{public static class OutputLib{[MethodImpl(256)]public static void WriteJoin(string s,IEnumerablet)=>Console.WriteLine(string.Join(s,t));[MethodImpl(256)]public static void WriteMat(T[,]a,string sep=" "){int sz1=a.GetLength(0),sz2=a.GetLength(1);var b=new T[sz2];for(int i=0;i(T[][]a,string sep=" "){foreach(var ar in a)WriteJoin(sep,ar);}[MethodImpl(256)]public static void WriteMat(T[][]a,Funcmap,string sep=" "){foreach(var ar in a)WriteJoin(sep,ar.Select(x=>map(x)));}[MethodImpl(256)]public static void Write(object t)=>Console.WriteLine(t.ToString());[MethodImpl(256)]public static void Write(params object[]arg)=>Console.WriteLine(string.Join(" ",arg.Select(x=>x.ToString())));[MethodImpl(256)]public static void Write(string str)=>Console.WriteLine(str);[MethodImpl(256)]public static void WriteFlush(object t){Console.WriteLine(t.ToString());Console.Out.Flush();}[MethodImpl(256)]public static void WriteError(object t)=>Console.Error.WriteLine(t.ToString());[MethodImpl(256)]public static void Flush()=>Console.Out.Flush();[MethodImpl(256)]public static void YN(bool t)=>Console.WriteLine(t?"YES":"NO");[MethodImpl(256)]public static void Yn(bool t)=>Console.WriteLine(t?"Yes":"No");[MethodImpl(256)]public static void yn(bool t)=>Console.WriteLine(t?"yes":"no");[MethodImpl(256)]public static void DeleteLine()=>Console.Write("\x1b[1A\x1b[2K");[MethodImpl(256)]public static void ProgressBar(long now,long total,int blocks=50){int x=(int)((2*now*blocks+1)/(2*total));Console.Write($"\x1b[G[\x1b[42m{string.Concat(Enumerable.Repeat("_",x))}\x1b[0m{string.Concat(Enumerable.Repeat("_",blocks-x))}] : {now} / {total}");}}} namespace Lib{public class XORShift{public class XORShift32{uint x;public XORShift32(){x=2463534242;}public uint Next(){x^=x<<13;x^=x>>17;x^=x<<5;return x;}public int Int(int n)=>(int)(Next()%n);}public class XORShift64{ulong x;public XORShift64(){x=88172645463325252;}public ulong Next(){x^=x<<13;x^=x>>7;x^=x<<17;return x;}}}} namespace SourceExpander{public class Expander{[Conditional("EXP")]public static void Expand(string inputFilePath=null,string outputFilePath=null,bool ignoreAnyError=true){}public static string ExpandString(string inputFilePath=null,bool ignoreAnyError=true){return "";}}} #endregion Expanded by https://github.com/kzrnm/SourceExpander