Numbers k-bonacci (k is integer, k > 1) are a generalization of Fibonacci numbers and are determined as follows:  F(k, n) = 0, for integer n, 1 ≤ n < k;  F(k, k) = 1;  F(k, n) = F(k, n - 1) + F(k, n - 2) + ... + F(k, n - k), for integer n, n > k. Note that we determine the k-bonacci numbers, F(k, n), only for integer values of n and k.You've got a number s, represent it as a sum of several (at least two) distinct k-bonacci numbers.

The first line contains two integers s and k (1 ≤ s, k ≤ 109; k > 1).

In the first line print an integer m (m ≥ 2) that shows how many numbers are in the found representation. In the second line print m distinct integers a1, a2, ..., am. Each printed integer should be a k-bonacci number. The sum of printed integers must equal s. It is guaranteed that the answer exists. If there are several possible answers, print any of them.

using System;
using System.Collections.Generic;

public class wellknownnumbers
{
	public static void Main(string[] args)
	{
		string[] p = Console.ReadLine().Split();
		long s = long.Parse(p[0]);
		long k = long.Parse(p[1]);
		long[] nums = new long[50];
		nums[0] = 1;
		int start = 0;
		for(int i = 1; nums[i-1] < s && i < 50; i++)
		{
			nums[i] = 0;
			for (int j = i - 1; j >= i - k && j >= 0; j--)
				nums[i] += nums[j];
			if (nums[i] <= s) start = i;
		}
		List<long> ans = new List<long>();
		for (int i = start; i >= 0 && s > 0; i--)
		{
			if (nums[i] <= s)
			{
				ans.Add(nums[i]);
				s -= nums[i];
			}
		}
		Console.WriteLine(ans.Count + 1);
		foreach (long a in ans)
			Console.Write(a + " ");
		Console.WriteLine("0");
	}
}

using System;
using System.Linq;
using System.Text;
using System.IO;
using System.Diagnostics;
using System.Globalization;
using System.Collections.Generic;
using System.Threading;

namespace CodeForces
{
	internal class B
	{

		private void Solve()
		{
			int s = NextInt(), k = NextInt();
			var f = new List<int>();
			f.Add( 1 );
			while ( true )
			{
				long tmp = 0;
				for ( int i = f.Count - 1, tot = k; i >= 0 && tot > 0; --i, --tot )
				{
					tmp += f[i];
				}
				if ( tmp > 1000000000 ) break;
				f.Add( (int)tmp );
			}
			if ( f.Count( x => x == 1 ) > 1 ) f.Remove( 1 );
			var res = new List<int>();
			while ( s > 0 )
			{
				int j = f.Count - 1;
				while ( f[j] > s ) --j;
				res.Add( f[j] );
				s -= f[j];
			}
			if ( res.Count == 1 ) res.Add( 0 );
			Out.WriteLine( res.Count );
			foreach ( var re in res )
			{
				Out.Write( re + " " );
			}
		}

		#region Local wireup

		public int NextInt()
		{
			return _in.NextInt();
		}

		public long NextLong()
		{
			return _in.NextLong();
		}

		public string NextLine()
		{
			return _in.NextLine();
		}

		public double NextDouble()
		{
			return _in.NextDouble();
		}

		readonly Scanner _in = new Scanner();
		static readonly TextWriter Out = Console.Out;

		void Start()
		{
#if !ONLINE_JUDGE
			var timer = new Stopwatch();
			timer.Start();
#endif
			var t = new Thread( Solve, 20000000 );
			t.Start();
			t.Join();
#if !ONLINE_JUDGE
			timer.Stop();
			Console.WriteLine( string.Format( CultureInfo.InvariantCulture, "Done in {0} seconds.\nPress <Enter> to exit.", timer.ElapsedMilliseconds / 1000.0 ) );
			Console.ReadLine();
#endif
		}

		static void Main()
		{
			new B().Start();
		}

		class Scanner : IDisposable
		{
			#region Fields

			readonly TextReader _reader;
			readonly int _bufferSize;
			readonly bool _closeReader;
			readonly char[] _buffer;
			int _length, _pos;

			#endregion

			#region .ctors

			public Scanner( TextReader reader, int bufferSize, bool closeReader )
			{
				_reader = reader;
				_bufferSize = bufferSize;
				_closeReader = closeReader;
				_buffer = new char[_bufferSize];
				FillBuffer( false );
			}

			public Scanner( TextReader reader, bool closeReader ) : this( reader, 1 << 16, closeReader ) { }

			public Scanner( string fileName ) : this( new StreamReader( fileName, Encoding.Default ), true ) { }

#if ONLINE_JUDGE
			public Scanner() : this( Console.In, false ) { }
#else
			public Scanner() : this( "input.txt" ) { }
#endif

			#endregion

			#region IDisposable Members

			public void Dispose()
			{
				if ( _closeReader )
				{
					_reader.Close();
				}
			}

			#endregion

			#region Properties

			public bool Eof
			{
				get
				{
					if ( _pos < _length ) return false;
					FillBuffer( false );
					return _pos >= _length;
				}
			}

			#endregion

			#region Methods

			private char NextChar()
			{
				if ( _pos < _length ) return _buffer[_pos++];
				FillBuffer( true );
				return _buffer[_pos++];
			}

			private char PeekNextChar()
			{
				if ( _pos < _length ) return _buffer[_pos];
				FillBuffer( true );
				return _buffer[_pos];
			}

			private void FillBuffer( bool throwOnEof )
			{
				_length = _reader.Read( _buffer, 0, _bufferSize );
				if ( throwOnEof && Eof )
				{
					throw new IOException( "Can't read beyond the end of file" );
				}
				_pos = 0;
			}

			public int NextInt()
			{
				var neg = false;
				int res = 0;
				SkipWhitespaces();
				if ( !Eof && PeekNextChar() == '-' )
				{
					neg = true;
					_pos++;
				}
				while ( !Eof && !IsWhitespace( PeekNextChar() ) )
				{
					var c = NextChar();
					if ( c < '0' || c > '9' ) throw new ArgumentException( "Illegal character" );
					res = 10 * res + c - '0';
				}
				return neg ? -res : res;
			}

			public long NextLong()
			{
				var neg = false;
				long res = 0;
				SkipWhitespaces();
				if ( !Eof && PeekNextChar() == '-' )
				{
					neg = true;
					_pos++;
				}
				while ( !Eof && !IsWhitespace( PeekNextChar() ) )
				{
					var c = NextChar();
					if ( c < '0' || c > '9' ) throw new ArgumentException( "Illegal character" );
					res = 10 * res + c - '0';
				}
				return neg ? -res : res;
			}

			public string NextLine()
			{
				SkipUntilNextLine();
				if ( Eof ) return "";
				var builder = new StringBuilder();
				while ( !Eof && !IsEndOfLine( PeekNextChar() ) )
				{
					builder.Append( NextChar() );
				}
				return builder.ToString();
			}

			public double NextDouble()
			{
				SkipWhitespaces();
				var builder = new StringBuilder();
				while ( !Eof && !IsWhitespace( PeekNextChar() ) )
				{
					builder.Append( NextChar() );
				}
				return double.Parse( builder.ToString(), CultureInfo.InvariantCulture );
			}

			private void SkipWhitespaces()
			{
				while ( !Eof && IsWhitespace( PeekNextChar() ) )
				{
					++_pos;
				}
			}

			private void SkipUntilNextLine()
			{
				while ( !Eof && IsEndOfLine( PeekNextChar() ) )
				{
					++_pos;
				}
			}

			private static bool IsWhitespace( char c )
			{
				return c == ' ' || c == '\t' || c == '\n' || c == '\r';
			}

			private static bool IsEndOfLine( char c )
			{
				return c == '\n' || c == '\r';
			}

			#endregion
		}

		#endregion
	}
}

using System;
using System.Collections.Generic;
using System.Globalization;
using System.Linq;
using System.Text;
using System.Text.RegularExpressions;
using System.Threading;

namespace Codeforces
{
    class B
    {
        private static ThreadStart s_threadStart = new B().Go;
        private static bool s_time = false;

        int k;
        Dictionary<long, long> memo = new Dictionary<long,long>();
        long Get(int n)
        {
            if (n < k) return 0;
            if (n < k + 2) return 1;
            if (!memo.ContainsKey(n))
            {
                memo[n] = 2 * Get(n - 1) - Get(n - k - 1);
            }

            return memo[n];
        }

        private void Go()
        {
            int s = GetInt();
            k = GetInt();
            memo.Clear();

            List<long> res = new List<long>();

            while (s > 0)
            {
                int n = k;
                long x = Get(n);
                long y;
                while (x <= s)
                {
                    n++;
                    y = Get(n);

                    if (y > s)
                    {
                        res.Add(x);
                        s -= (int)x;
                    }

                    x = y;
                }
            }

            Wl(res.Count + 1);
            Console.Write("0");
            foreach (long x in res)
                Console.Write(" " + x);
        }

        #region Template

        public static void Main(string[] args)
        {
            System.Diagnostics.Stopwatch timer = new System.Diagnostics.Stopwatch();
            Thread main = new Thread(new ThreadStart(s_threadStart), 512 * 1024 * 1024);
            timer.Start();
            main.Start();
            main.Join();
            timer.Stop();
            if (s_time)
                Wl(timer.ElapsedMilliseconds);
        }

        private static IEnumerator<string> ioEnum;
        private static string GetString()
        {
            while (ioEnum == null || !ioEnum.MoveNext())
            {
                ioEnum = Console.ReadLine().Split().AsEnumerable().GetEnumerator();
            }

            return ioEnum.Current;
        }

        private static int GetInt()
        {
            return int.Parse(GetString());
        }

        private static long GetLong()
        {
            return long.Parse(GetString());
        }

        private static double GetDouble()
        {
            return double.Parse(GetString());
        }

        private static List<int> GetIntArr(int n)
        {
            List<int> ret = new List<int>(n);
            for (int i = 0; i < n; i++)
            {
                ret.Add(GetInt());
            }
            return ret;
        }

        private static void Wl<T>(T o)
        {
            if (o is double)
            {
                Wld((o as double?).Value, "");
            }
            else if (o is float)
            {
                Wld((o as float?).Value, "");
            }
            else
                Console.WriteLine(o.ToString());
        }

        private static void Wl<T>(IEnumerable<T> enumerable)
        {
            Wl(string.Join(" ", enumerable.Select(e => e.ToString()).ToArray()));
        }

        private static void Wld(double d, string format)
        {
            Wl(d.ToString(format, CultureInfo.InvariantCulture));
        }

        public struct Tuple<T, K> : IComparable<Tuple<T, K>>
            where T : IComparable<T>
            where K : IComparable<K>
        {
            public T Item1;
            public K Item2;

            public Tuple(T t, K k)
            {
                Item1 = t;
                Item2 = k;
            }

            public override bool Equals(object obj)
            {
                var o = (Tuple<T, K>)obj;
                return o.Item1.Equals(Item1) && o.Item2.Equals(Item2);
            }

            public override int GetHashCode()
            {
                return Item1.GetHashCode() ^ Item2.GetHashCode();
            }

            public override string ToString()
            {
                return "(" + Item1 + " " + Item2 + ")";
            }

            #region IComparable<Tuple<T,K>> Members

            public int CompareTo(Tuple<T, K> other)
            {
                int ret = Item1.CompareTo(other.Item1);
                if (ret != 0) return ret;
                return Item2.CompareTo(other.Item2);
            }

            #endregion
        }

        #endregion
    }
}

using System;
using System.Collections.Generic;
using System.IO;
using System.Linq;

namespace Temp
{
    struct PointInt
    {
        public long X;

        public long Y;

        public PointInt(long x, long y)
            : this()
        {
            this.X = x;
            this.Y = y;
        }

        public static PointInt operator +(PointInt a, PointInt b)
        {
            return new PointInt(a.X + b.X, a.Y + b.Y);
        }

        public static PointInt operator -(PointInt a, PointInt b)
        {
            return new PointInt(a.X - b.X, a.Y - b.Y);
        }

        public static PointInt operator *(PointInt a, long k)
        {
            return new PointInt(k * a.X, k * a.Y);
        }

        public static PointInt operator *(long k, PointInt a)
        {
            return new PointInt(k * a.X, k * a.Y);
        }

        public bool IsInsideRectangle(long l, long b, long r, long t)
        {
            return (l <= X) && (X <= r) && (b <= Y) && (Y <= t);
        }
    }

    struct LineInt
    {
        public LineInt(PointInt a, PointInt b)
            : this()
        {
            A = a.Y - b.Y;
            B = b.X - a.X;
            C = a.X * b.Y - a.Y * b.X;
        }

        public long A, B, C;

        public bool ContainsPoint(PointInt p)
        {
            return A * p.X + B * p.Y + C == 0;
        }
    }

    class MatrixInt
    {
        private long[,] m_Matrix;

        public int Size
        {
            get
            {
                return m_Matrix.GetLength(0) - 1;
            }
        }

        public long Mod { get; private set; }

        public MatrixInt(int size, long mod = 0)
        {
            m_Matrix = new long[size + 1, size + 1];
            Mod = mod;
        }

        public MatrixInt(long[,] matrix, long mod = 0)
        {
            this.m_Matrix = matrix;
            Mod = mod;
        }

        public static MatrixInt GetIdentityMatrix(int size, long mod = 0)
        {
            long[,] matrix = new long[size + 1, size + 1];

            for (int i = 1; i <= size; i++)
            {
                matrix[i, i] = 1;
            }

            return new MatrixInt(matrix, mod);
        }

        public long this[int i, int j]
        {
            get
            {
                return m_Matrix[i, j];
            }

            set
            {
                m_Matrix[i, j] = value;
            }
        }

        public static MatrixInt operator +(MatrixInt a, MatrixInt b)
        {
            int n = a.Size;
            long mod = Math.Max(a.Mod, b.Mod);
            long[,] c = new long[n, n];
            for (int i = 1; i <= n; i++)
            {
                for (int j = 1; j <= n; j++)
                {
                    c[i, j] = a[i, j] + b[i, j];
                }
            }

            if (mod > 0)
            {
                for (int i = 1; i <= n; i++)
                {
                    for (int j = 1; j <= n; j++)
                    {
                        c[i, j] %= mod;
                    }
                }
            }

            return new MatrixInt(c, mod);
        }

        public static MatrixInt operator *(MatrixInt a, MatrixInt b)
        {
            int n = a.Size;
            long mod = Math.Max(a.Mod, b.Mod);

            long[,] c = new long[n, n];

            for (int i = 1; i <= n; i++)
            {
                for (int j = 1; j <= n; j++)
                {
                    for (int k = 1; k <= n; k++)
                    {
                        c[i, j] += a[i, k] * b[k, j];
                        if (mod > 0)
                        {
                            c[i, j] %= mod;
                        }
                    }
                }
            }

            return new MatrixInt(c, mod);
        }
    }

    static class Algebra
    {
        public static long Phi(long n)
        {
            long result = n;
            for (long i = 2; i * i <= n; i++)
            {
                if (n % i == 0)
                {
                    while (n % i == 0)
                    {
                        n /= i;
                    }

                    result -= result / i;
                }
            }

            if (n > 1)
            {
                result -= result / n;
            }

            return result;
        }

        public static long BinPower(long a, long n, long mod)
        {
            long result = 1;

            while (n > 0)
            {
                if ((n & 1) != 0)
                {
                    result = (result * a) % mod;
                }

                a = (a * a) % mod;
                n >>= 1;
            }

            return result;
        }

        public static class Permutations
        {
            public static int[] GetRandomPermutation(int n)
            {
                int[] p = new int[n];
                for (int i = 0; i < n; i++)
                {
                    p[i] = i;
                }

                Random random = new Random();
                for (int i = n - 1; i > 0; i--)
                {
                    int j = random.Next(i + 1);
                    int tmp = p[i];
                    p[i] = p[j];
                    p[j] = tmp;
                }

                return p;
            }
        }

        public static T[] Shuffle<T>(this T[] array)
        {
            int length = array.Length;
            int[] p = Permutations.GetRandomPermutation(length);
            T[] result = new T[length];
            for (int i = 0; i < length; i++)
            {
                result[i] = array[p[i]];
            }

            return result;
        }

        public static MatrixInt MatrixBinPower(MatrixInt a, long n)
        {
            MatrixInt result = new MatrixInt(a.Size);

            while (n > 0)
            {
                if ((n & 1) != 0)
                {
                    result *= a;
                }

                a *= a;
                n >>= 1;
            }

            return result;
        }

        public static long Gcd(long a, long b)
        {
            return b == 0 ? a : Gcd(b, a % b);
        }

        public static long ExtendedGcd(long a, long b, out long x, out long y)
        {
            if (b == 0)
            {
                x = 1;
                y = 0;
                return a;
            }

            long x1;
            long y1;
            long d = ExtendedGcd(b, a % b, out x1, out y1);
            x = y1;
            y = x1 - (a / b) * y1;
            return d;
        }

        public static long Lcm(long a, long b)
        {
            return (a / Gcd(a, b)) * b;
        }

        public static bool[] GetPrimes(int n)
        {
            n = Math.Max(n, 2);
            bool[] prime = new bool[n + 1];
            for (int i = 2; i <= n; i++)
            {
                prime[i] = true;
            }

            for (int i = 2; i * i <= n; i++)
            {
                if (prime[i])
                {
                    if ((long)i * i <= n)
                    {
                        for (int j = i * i; j <= n; j += i)
                        {
                            prime[j] = false;
                        }
                    }
                }
            }

            return prime;
        }

        public static long GetFibonacciNumber(long n, long mod = 0)
        {
            long[,] matrix = new long[,] { { 0, 0, 0 }, { 0, 0, 1 }, { 0, 1, 1 } };

            MatrixInt result = MatrixBinPower(new MatrixInt(matrix, mod), n);

            return result[2, 2];
        }

        public static long[] GetFibonacciSequence(int n)
        {
            long[] result = new long[n];
            result[0] = result[1] = 1;

            for (int i = 2; i < n; i++)
            {
                result[i] = result[i - 1] + result[i - 2];
            }

            return result;
        }

        public static long GetInverseElement(long a, long mod)
        {
            long x, y;
            long g = ExtendedGcd(a, mod, out x, out y);

            if (g != 1)
            {
                return -1;
            }

            return ((x % mod) + mod) % mod;
        }

        public static long[] GetAllInverseElements(long mod)
        {
            long[] result = new long[mod];
            result[1] = 1;
            for (int i = 2; i < mod; i++)
            {
                result[i] = (mod - (((mod / i) * result[mod % i]) % mod)) % mod;
            }

            return result;
        }
    }

    internal static class Reader
    {
        public static void ReadInt(out int a)
        {
            int[] number = new int[1];
            ReadInt(number);
            a = number[0];
        }

        public static void ReadInt(out int a, out int b)
        {
            int[] numbers = new int[2];
            ReadInt(numbers);
            a = numbers[0];
            b = numbers[1];
        }

        public static void ReadInt(out int int1, out int int2, out int int3)
        {
            int[] numbers = new int[3];
            ReadInt(numbers);
            int1 = numbers[0];
            int2 = numbers[1];
            int3 = numbers[2];
        }

        public static void ReadInt(out int int1, out int int2, out int int3, out int int4)
        {
            int[] numbers = new int[4];
            ReadInt(numbers);
            int1 = numbers[0];
            int2 = numbers[1];
            int3 = numbers[2];
            int4 = numbers[3];
        }

        public static void ReadLong(out long a)
        {
            long[] number = new long[1];
            ReadLong(number);
            a = number[0];
        }

        public static void ReadLong(out long a, out long b)
        {
            long[] numbers = new long[2];
            ReadLong(numbers);
            a = numbers[0];
            b = numbers[1];
        }

        public static void ReadLong(out long int1, out long int2, out long int3)
        {
            long[] numbers = new long[3];
            ReadLong(numbers);
            int1 = numbers[0];
            int2 = numbers[1];
            int3 = numbers[2];
        }

        public static void ReadLong(out long int1, out long int2, out long int3, out long int4)
        {
            long[] numbers = new long[4];
            ReadLong(numbers);
            int1 = numbers[0];
            int2 = numbers[1];
            int3 = numbers[2];
            int4 = numbers[3];
        }

        public static void ReadInt(int[] numbers)
        {
            // ReSharper disable PossibleNullReferenceException
            var list = Console.ReadLine().Split();
            // ReSharper restore PossibleNullReferenceException

            int count = Math.Min(numbers.Length, list.Length);

            for (int i = 0; i < count; i++)
            {
                numbers[i] = int.Parse(list[i]);
            }
        }

        public static int[] ReadDigits()
        {
            // ReSharper disable AssignNullToNotNullAttribute
            return Console.ReadLine().Select(x => int.Parse(x.ToString())).ToArray();
            // ReSharper restore AssignNullToNotNullAttribute
        }

        public static void ReadLong(long[] numbers)
        {
            // ReSharper disable PossibleNullReferenceException
            var list = Console.ReadLine().Split();
            // ReSharper restore PossibleNullReferenceException

            int count = Math.Min(numbers.Length, list.Length);

            for (int i = 0; i < count; i++)
            {
                numbers[i] = long.Parse(list[i]);
            }
        }

        public static void ReadDouble(double[] numbers)
        {
            // ReSharper disable PossibleNullReferenceException
            var list = Console.ReadLine().Split();
            // ReSharper restore PossibleNullReferenceException

            int count = Math.Min(numbers.Length, list.Length);

            for (int i = 0; i < count; i++)
            {
                numbers[i] = double.Parse(list[i]);
            }
        }

        public static void ReadDouble(out double a, out double b)
        {
            double[] numbers = new double[2];
            ReadDouble(numbers);
            a = numbers[0];
            b = numbers[1];
        }

        public static void ReadDouble(out double int1, out double int2, out double int3)
        {
            double[] numbers = new double[3];
            ReadDouble(numbers);
            int1 = numbers[0];
            int2 = numbers[1];
            int3 = numbers[2];
        }

        public static string ReadLine()
        {
            return Console.ReadLine();
        }
    }

    static class MyMath
    {
        public static int GetMinimalPrimeDivisor(int n)
        {
            for (int i = 2; i * i <= n; i++)
            {
                if (n % i == 0)
                {
                    return i;
                }
            }

            return n;
        }

        public static long Sqr(long x)
        {
            return x * x;
        }
    }

    public interface IGraph
    {
        int Vertices  { get; set; }

        IList<int> this[int i] { get; }

        void AddEdge(int u, int v);

        void AddOrientedEdge(int u, int v);
    }

    public class Graph : IGraph
    {
        private List<int>[] m_Edges;

        public int Vertices { get; set; }

        public IList<int> this[int i]
        {
            get
            {
                return this.m_Edges[i];
            }
        }

        public Graph(int vertices)
        {
            this.Vertices = vertices;

            this.m_Edges = new List<int>[vertices];

            for (int i = 0; i < vertices; i++)
            {
                this.m_Edges[i] = new List<int>();
            }
        }

        public void AddEdge(int u, int v)
        {
            this.AddOrientedEdge(u, v);
            this.AddOrientedEdge(v, u);
        }

        public void AddOrientedEdge(int first, int second)
        {
            this.m_Edges[first].Add(second);
        }

        public int[] Bfs(int start)
        {
            int[] d = new int[Vertices];
            for (int i = 0; i < Vertices; i++)
            {
                d[i] = -1;
            }

            Queue<int> queue = new Queue<int>();
            queue.Enqueue(start);
            d[start] = 0;

            while (queue.Count > 0)
            {
                int v = queue.Dequeue();
                foreach (int t in this.m_Edges[v].Where(t => d[t] == -1))
                {
                    queue.Enqueue(t);
                    d[t] = d[v] + 1;
                }
            }

            return d;
        }
    }

    class SimpleSumTable
    {
        private readonly int[,] m_Sum;

        public SimpleSumTable(int n, int m, int[,] table)
        {
            m_Sum = new int[n + 1, m + 1];

            for (int i = 1; i < n + 1; i++)
            {
                for (int j = 1; j < m + 1; j++)
                {
                    m_Sum[i, j] = m_Sum[i, j - 1] + m_Sum[i - 1, j] - m_Sum[i - 1, j - 1] + table[i, j];
                }
            }
        }

        public int GetSum(int l, int b, int r, int t)
        {
            return m_Sum[r, t] - m_Sum[r, b] - m_Sum[l, t] + m_Sum[l, b];
        }
    }

    class SegmentTreeSimpleInt<T>
    {
        public int Size { get; private set; }

        private readonly T[] m_Tree;

        private Func<T, T, T> m_Operation;

        private T m_Null;

        public SegmentTreeSimpleInt(int size, Func<T, T, T> operation, T nullElement, IList<T> array = null)
        {
            this.Size = size;
            this.m_Operation = operation;
            this.m_Null = nullElement;

            m_Tree = new T[4 * size];
            if (array != null)
            {
                this.Build(array, 1, 0, size - 1);
            }
        }

        private void Build(IList<T> array, int v, int tl, int tr)
        {
            if (tl == tr)
            {
                m_Tree[v] = array[tl];
            }
            else
            {
                int tm = (tl + tr) / 2;
                this.Build(array, 2 * v, tl, tm);
                this.Build(array, 2 * v + 1, tm + 1, tr);
                this.CalculateNode(v);
            }
        }

        public T GetSum(int l, int r)
        {
            return GetSum(1, 0, Size - 1, l, r);
        }

        private T GetSum(int v, int tl, int tr, int l, int r)
        {
            if (l > r)
            {
                return m_Null;
            }

            if (l == tl && r == tr)
            {
                return m_Tree[v];
            }

            int tm = (tl + tr) / 2;

            return this.m_Operation(GetSum(2 * v, tl, tm, l, Math.Min(r, tm)),GetSum(2 * v + 1, tm + 1, tr, Math.Max(l, tm + 1), r));
        }

        public void Update(int pos, T newValue)
        {
            Update(1, 0, Size - 1, pos, newValue);
        }

        private void Update(int v, int tl, int tr, int pos, T newValue)
        {
            if (tl == tr)
            {
                m_Tree[v] = newValue;
            }
            else
            {
                int tm = (tl + tr) / 2;
                if (pos <= tm)
                {
                    Update(2 * v, tl, tm, pos, newValue);
                }
                else
                {
                    Update(2 * v + 1, tm + 1, tr, pos, newValue);
                }
                this.CalculateNode(v);
            }
        }

        private void CalculateNode(int v)
        {
            m_Tree[v] = this.m_Operation(m_Tree[2 * v], m_Tree[2 * v + 1]);
        }
    }

    struct Pair<TFirst, TSecond>
    {
        public Pair(TFirst first, TSecond second)
            : this()
        {
            this.First = first;
            this.Second = second;
        }

        public TFirst First { set; get; }

        public TSecond Second { set; get; }
    }

    internal class AccumulativeDictionary<TKey> : Dictionary<TKey, int>
    {
        public new void Add(TKey key, int value = 1)
        {
            if (this.ContainsKey(key))
            {
                base[key] += value;
            }
            else
            {
                base.Add(key, value);
            }
        }

        public new int this[TKey key]
        {
            get
            {
                return this.ContainsKey(key) ? base[key] : 0;
            }
            set
            {
                this.Add(key, value);
            }
        }
    }

    class PriorityQueue<T>
    {
        public PriorityQueue(Comparison<T> comparison = null)
        {
            if (comparison == null)
            {
                if (typeof(T).GetInterfaces().Any(i => i == typeof(IComparable<T>)))
                {
                    m_Comparison = (a, b) => ((IComparable<T>)a).CompareTo(b);
                }
                else
                {
                    throw new ApplicationException("Add comparer");
                }
            }
            else
            {
                m_Comparison = comparison;
            }
        }

        public int Count { get; private set; }

        public void Enqueue(T item)
        {
            m_List.Add(item);
            m_Indexes.Add(item, this.Count);
            this.Count++;
            Up(this.Count);
        }

        public T Peek()
        {
            return m_List[0];
        }

        public T Dequeue()
        {
            if (this.Count > 0)
            {
                var result = m_List[0];

                Swap(0, this.Count - 1);
                m_Indexes.Remove(m_List[this.Count - 1]);
                m_List.RemoveAt(this.Count - 1);
                this.Count--;
                this.Down(1);

                return result;
            }
            throw new ApplicationException("Couldn't get element from empty queue");
        }

        public void Update(T item)
        {
            int index = m_Indexes[item];
            this.Up(index + 1);
        }

        private readonly List<T> m_List = new List<T>();

        private readonly Dictionary<T, int> m_Indexes = new Dictionary<T, int>();

        private readonly Comparison<T> m_Comparison;

        private void Up(int index)
        {
            while (index > 1 && m_Comparison.Invoke(m_List[index - 1], m_List[index / 2 - 1]) > 0)
            {
                this.Swap(index - 1, index / 2 - 1);

                index = index / 2;
            }
        }

        private void Down(int index)
        {
            while (2 * index <= this.Count && m_Comparison.Invoke(m_List[index - 1], m_List[2 * index - 1]) < 0 ||
                   2 * index + 1 <= this.Count && m_Comparison.Invoke(m_List[index - 1], m_List[2 * index]) < 0)
            {
                if (2 * index + 1 > this.Count || m_Comparison.Invoke(m_List[2 * index - 1], m_List[2 * index]) > 0)
                {
                    this.Swap(index - 1, 2 * index - 1);
                    index = 2 * index;
                }
                else
                {
                    this.Swap(index - 1, 2 * index);
                    index = 2 * index + 1;
                }
            }
        }

        private void Swap(int i, int j)
        {
            var tmp = m_List[i];
            m_List[i] = m_List[j];
            m_List[j] = tmp;

            m_Indexes[m_List[i]] = i;
            m_Indexes[m_List[j]] = j;
        }
    }

    class Program
    {
        private static StreamReader m_InputStream;

        private static StreamWriter m_OutStream;

        private static void OpenFiles()
        {
            m_InputStream = File.OpenText("input.txt");
            Console.SetIn(m_InputStream);

            m_OutStream = File.CreateText("output.txt");
            Console.SetOut(m_OutStream);
        }

        private static void CloseFiles()
        {
            m_OutStream.Flush();

            m_InputStream.Dispose();
            m_OutStream.Dispose();
        }

        static void Main()
        {
            //OpenFiles();

            new Solution().Solve();

            //CloseFiles();
        }
    }

    internal class Solution
    {
        public void Solve()
        {
            int s, k;
            Reader.ReadInt(out s, out k);

            List<int> result = new List<int> { 0 };

            int[] f = new int[100];
            f[0] = 1;

            int t = 0;
            while (f[t] < s)
            {
                t++;
                int sum = 0;
                for (int j = Math.Max(0, t - k); j < t; j++)
                {
                    sum += f[j];
                }

                f[t] = sum;
            }

            for (int i = t; i >= 0; i--)
            {
                if (s >= f[i])
                {
                    result.Add(f[i]);
                    s -= f[i];
                    if (s == 0)
                    {
                        break;
                    }
                }
            }

            Console.WriteLine(result.Count);
            foreach (var i in result)
            {
                Console.Write("{0} ", i);
            }
        }
    }
}

using System;
using System.Collections.Generic;
using System.IO;
using System.Text;

namespace Well_known_Numbers
{
    internal class Program
    {
        private static readonly StreamReader reader = new StreamReader(Console.OpenStandardInput(1024*10), Encoding.ASCII, false, 1024*10);
        private static readonly StreamWriter writer = new StreamWriter(Console.OpenStandardOutput(1024*10), Encoding.ASCII, 1024*10);

        private static void Main(string[] args)
        {
            int s = Next();
            int k = Next();

            var list = new List<int> {1};

            int index0 = -k;

            int sum = 1;
            while (sum <= s)
            {
                list.Add(sum);

                sum += sum;
                index0++;
                if (index0 >= 0)
                    sum -= list[index0];
            }

            var ans = new List<int>();
            list.Reverse();

            foreach (int i in list)
            {
                if (s >= i)
                {
                    ans.Add(i);
                    s -= i;
                    if (s == 0)
                        break;
                }
            }

            if (ans.Count == 1)
                ans.Add(0);

            writer.WriteLine(ans.Count);
            foreach (int an in ans)
            {
                writer.Write(an);
                writer.Write(' ');
            }
            writer.Flush();
        }

        private static int Next()
        {
            int c;
            int res = 0;
            do
            {
                c = reader.Read();
                if (c == -1)
                    return res;
            } while (c < '0' || c > '9');
            res = c - '0';
            while (true)
            {
                c = reader.Read();
                if (c < '0' || c > '9')
                    return res;
                res *= 10;
                res += c - '0';
            }
        }
    }
}

using System;
using System.Linq;
using System.Text;
using System.IO;
using System.Diagnostics;
using System.Globalization;
using System.Collections.Generic;
using System.Threading;

namespace CodeForces
{
	internal class B
	{

		private void Solve()
		{
			int s = NextInt(), k = NextInt();
			var f = new List<int>();
			f.Add( 1 );
			while ( true )
			{
				long tmp = 0;
				for ( int i = f.Count - 1, tot = k; i >= 0 && tot > 0; --i, --tot )
				{
					tmp += f[i];
				}
				if ( tmp > 1000000000 ) break;
				f.Add( (int)tmp );
			}
			if ( f.Count( x => x == 1 ) > 1 ) f.Remove( 1 );
			var res = new List<int>();
			while ( s > 0 )
			{
				int j = f.Count - 1;
				while ( f[j] > s ) --j;
				res.Add( f[j] );
				s -= f[j];
			}
			Out.WriteLine( res.Count );
			foreach ( var re in res )
			{
				Out.Write( re + " " );
			}
		}

		#region Local wireup

		public int NextInt()
		{
			return _in.NextInt();
		}

		public long NextLong()
		{
			return _in.NextLong();
		}

		public string NextLine()
		{
			return _in.NextLine();
		}

		public double NextDouble()
		{
			return _in.NextDouble();
		}

		readonly Scanner _in = new Scanner();
		static readonly TextWriter Out = Console.Out;

		void Start()
		{
#if !ONLINE_JUDGE
			var timer = new Stopwatch();
			timer.Start();
#endif
			var t = new Thread( Solve, 20000000 );
			t.Start();
			t.Join();
#if !ONLINE_JUDGE
			timer.Stop();
			Console.WriteLine( string.Format( CultureInfo.InvariantCulture, "Done in {0} seconds.\nPress <Enter> to exit.", timer.ElapsedMilliseconds / 1000.0 ) );
			Console.ReadLine();
#endif
		}

		static void Main()
		{
			new B().Start();
		}

		class Scanner : IDisposable
		{
			#region Fields

			readonly TextReader _reader;
			readonly int _bufferSize;
			readonly bool _closeReader;
			readonly char[] _buffer;
			int _length, _pos;

			#endregion

			#region .ctors

			public Scanner( TextReader reader, int bufferSize, bool closeReader )
			{
				_reader = reader;
				_bufferSize = bufferSize;
				_closeReader = closeReader;
				_buffer = new char[_bufferSize];
				FillBuffer( false );
			}

			public Scanner( TextReader reader, bool closeReader ) : this( reader, 1 << 16, closeReader ) { }

			public Scanner( string fileName ) : this( new StreamReader( fileName, Encoding.Default ), true ) { }

#if ONLINE_JUDGE
			public Scanner() : this( Console.In, false ) { }
#else
			public Scanner() : this( "input.txt" ) { }
#endif

			#endregion

			#region IDisposable Members

			public void Dispose()
			{
				if ( _closeReader )
				{
					_reader.Close();
				}
			}

			#endregion

			#region Properties

			public bool Eof
			{
				get
				{
					if ( _pos < _length ) return false;
					FillBuffer( false );
					return _pos >= _length;
				}
			}

			#endregion

			#region Methods

			private char NextChar()
			{
				if ( _pos < _length ) return _buffer[_pos++];
				FillBuffer( true );
				return _buffer[_pos++];
			}

			private char PeekNextChar()
			{
				if ( _pos < _length ) return _buffer[_pos];
				FillBuffer( true );
				return _buffer[_pos];
			}

			private void FillBuffer( bool throwOnEof )
			{
				_length = _reader.Read( _buffer, 0, _bufferSize );
				if ( throwOnEof && Eof )
				{
					throw new IOException( "Can't read beyond the end of file" );
				}
				_pos = 0;
			}

			public int NextInt()
			{
				var neg = false;
				int res = 0;
				SkipWhitespaces();
				if ( !Eof && PeekNextChar() == '-' )
				{
					neg = true;
					_pos++;
				}
				while ( !Eof && !IsWhitespace( PeekNextChar() ) )
				{
					var c = NextChar();
					if ( c < '0' || c > '9' ) throw new ArgumentException( "Illegal character" );
					res = 10 * res + c - '0';
				}
				return neg ? -res : res;
			}

			public long NextLong()
			{
				var neg = false;
				long res = 0;
				SkipWhitespaces();
				if ( !Eof && PeekNextChar() == '-' )
				{
					neg = true;
					_pos++;
				}
				while ( !Eof && !IsWhitespace( PeekNextChar() ) )
				{
					var c = NextChar();
					if ( c < '0' || c > '9' ) throw new ArgumentException( "Illegal character" );
					res = 10 * res + c - '0';
				}
				return neg ? -res : res;
			}

			public string NextLine()
			{
				SkipUntilNextLine();
				if ( Eof ) return "";
				var builder = new StringBuilder();
				while ( !Eof && !IsEndOfLine( PeekNextChar() ) )
				{
					builder.Append( NextChar() );
				}
				return builder.ToString();
			}

			public double NextDouble()
			{
				SkipWhitespaces();
				var builder = new StringBuilder();
				while ( !Eof && !IsWhitespace( PeekNextChar() ) )
				{
					builder.Append( NextChar() );
				}
				return double.Parse( builder.ToString(), CultureInfo.InvariantCulture );
			}

			private void SkipWhitespaces()
			{
				while ( !Eof && IsWhitespace( PeekNextChar() ) )
				{
					++_pos;
				}
			}

			private void SkipUntilNextLine()
			{
				while ( !Eof && IsEndOfLine( PeekNextChar() ) )
				{
					++_pos;
				}
			}

			private static bool IsWhitespace( char c )
			{
				return c == ' ' || c == '\t' || c == '\n' || c == '\r';
			}

			private static bool IsEndOfLine( char c )
			{
				return c == '\n' || c == '\r';
			}

			#endregion
		}

		#endregion
	}
}

using System;
using System.Collections.Generic;
using System.IO;
using System.Linq;

namespace Temp
{
    struct PointInt
    {
        public long X;

        public long Y;

        public PointInt(long x, long y)
            : this()
        {
            this.X = x;
            this.Y = y;
        }

        public static PointInt operator +(PointInt a, PointInt b)
        {
            return new PointInt(a.X + b.X, a.Y + b.Y);
        }

        public static PointInt operator -(PointInt a, PointInt b)
        {
            return new PointInt(a.X - b.X, a.Y - b.Y);
        }

        public static PointInt operator *(PointInt a, long k)
        {
            return new PointInt(k * a.X, k * a.Y);
        }

        public static PointInt operator *(long k, PointInt a)
        {
            return new PointInt(k * a.X, k * a.Y);
        }

        public bool IsInsideRectangle(long l, long b, long r, long t)
        {
            return (l <= X) && (X <= r) && (b <= Y) && (Y <= t);
        }
    }

    struct LineInt
    {
        public LineInt(PointInt a, PointInt b)
            : this()
        {
            A = a.Y - b.Y;
            B = b.X - a.X;
            C = a.X * b.Y - a.Y * b.X;
        }

        public long A, B, C;

        public bool ContainsPoint(PointInt p)
        {
            return A * p.X + B * p.Y + C == 0;
        }
    }

    class MatrixInt
    {
        private long[,] m_Matrix;

        public int Size
        {
            get
            {
                return m_Matrix.GetLength(0) - 1;
            }
        }

        public long Mod { get; private set; }

        public MatrixInt(int size, long mod = 0)
        {
            m_Matrix = new long[size + 1, size + 1];
            Mod = mod;
        }

        public MatrixInt(long[,] matrix, long mod = 0)
        {
            this.m_Matrix = matrix;
            Mod = mod;
        }

        public static MatrixInt GetIdentityMatrix(int size, long mod = 0)
        {
            long[,] matrix = new long[size + 1, size + 1];

            for (int i = 1; i <= size; i++)
            {
                matrix[i, i] = 1;
            }

            return new MatrixInt(matrix, mod);
        }

        public long this[int i, int j]
        {
            get
            {
                return m_Matrix[i, j];
            }

            set
            {
                m_Matrix[i, j] = value;
            }
        }

        public static MatrixInt operator +(MatrixInt a, MatrixInt b)
        {
            int n = a.Size;
            long mod = Math.Max(a.Mod, b.Mod);
            long[,] c = new long[n, n];
            for (int i = 1; i <= n; i++)
            {
                for (int j = 1; j <= n; j++)
                {
                    c[i, j] = a[i, j] + b[i, j];
                }
            }

            if (mod > 0)
            {
                for (int i = 1; i <= n; i++)
                {
                    for (int j = 1; j <= n; j++)
                    {
                        c[i, j] %= mod;
                    }
                }
            }

            return new MatrixInt(c, mod);
        }

        public static MatrixInt operator *(MatrixInt a, MatrixInt b)
        {
            int n = a.Size;
            long mod = Math.Max(a.Mod, b.Mod);

            long[,] c = new long[n, n];

            for (int i = 1; i <= n; i++)
            {
                for (int j = 1; j <= n; j++)
                {
                    for (int k = 1; k <= n; k++)
                    {
                        c[i, j] += a[i, k] * b[k, j];
                        if (mod > 0)
                        {
                            c[i, j] %= mod;
                        }
                    }
                }
            }

            return new MatrixInt(c, mod);
        }
    }

    static class Algebra
    {
        public static long Phi(long n)
        {
            long result = n;
            for (long i = 2; i * i <= n; i++)
            {
                if (n % i == 0)
                {
                    while (n % i == 0)
                    {
                        n /= i;
                    }

                    result -= result / i;
                }
            }

            if (n > 1)
            {
                result -= result / n;
            }

            return result;
        }

        public static long BinPower(long a, long n, long mod)
        {
            long result = 1;

            while (n > 0)
            {
                if ((n & 1) != 0)
                {
                    result = (result * a) % mod;
                }

                a = (a * a) % mod;
                n >>= 1;
            }

            return result;
        }

        public static class Permutations
        {
            public static int[] GetRandomPermutation(int n)
            {
                int[] p = new int[n];
                for (int i = 0; i < n; i++)
                {
                    p[i] = i;
                }

                Random random = new Random();
                for (int i = n - 1; i > 0; i--)
                {
                    int j = random.Next(i + 1);
                    int tmp = p[i];
                    p[i] = p[j];
                    p[j] = tmp;
                }

                return p;
            }
        }

        public static T[] Shuffle<T>(this T[] array)
        {
            int length = array.Length;
            int[] p = Permutations.GetRandomPermutation(length);
            T[] result = new T[length];
            for (int i = 0; i < length; i++)
            {
                result[i] = array[p[i]];
            }

            return result;
        }

        public static MatrixInt MatrixBinPower(MatrixInt a, long n)
        {
            MatrixInt result = new MatrixInt(a.Size);

            while (n > 0)
            {
                if ((n & 1) != 0)
                {
                    result *= a;
                }

                a *= a;
                n >>= 1;
            }

            return result;
        }

        public static long Gcd(long a, long b)
        {
            return b == 0 ? a : Gcd(b, a % b);
        }

        public static long ExtendedGcd(long a, long b, out long x, out long y)
        {
            if (b == 0)
            {
                x = 1;
                y = 0;
                return a;
            }

            long x1;
            long y1;
            long d = ExtendedGcd(b, a % b, out x1, out y1);
            x = y1;
            y = x1 - (a / b) * y1;
            return d;
        }

        public static long Lcm(long a, long b)
        {
            return (a / Gcd(a, b)) * b;
        }

        public static bool[] GetPrimes(int n)
        {
            n = Math.Max(n, 2);
            bool[] prime = new bool[n + 1];
            for (int i = 2; i <= n; i++)
            {
                prime[i] = true;
            }

            for (int i = 2; i * i <= n; i++)
            {
                if (prime[i])
                {
                    if ((long)i * i <= n)
                    {
                        for (int j = i * i; j <= n; j += i)
                        {
                            prime[j] = false;
                        }
                    }
                }
            }

            return prime;
        }

        public static long GetFibonacciNumber(long n, long mod = 0)
        {
            long[,] matrix = new long[,] { { 0, 0, 0 }, { 0, 0, 1 }, { 0, 1, 1 } };

            MatrixInt result = MatrixBinPower(new MatrixInt(matrix, mod), n);

            return result[2, 2];
        }

        public static long[] GetFibonacciSequence(int n)
        {
            long[] result = new long[n];
            result[0] = result[1] = 1;

            for (int i = 2; i < n; i++)
            {
                result[i] = result[i - 1] + result[i - 2];
            }

            return result;
        }

        public static long GetInverseElement(long a, long mod)
        {
            long x, y;
            long g = ExtendedGcd(a, mod, out x, out y);

            if (g != 1)
            {
                return -1;
            }

            return ((x % mod) + mod) % mod;
        }

        public static long[] GetAllInverseElements(long mod)
        {
            long[] result = new long[mod];
            result[1] = 1;
            for (int i = 2; i < mod; i++)
            {
                result[i] = (mod - (((mod / i) * result[mod % i]) % mod)) % mod;
            }

            return result;
        }
    }

    internal static class Reader
    {
        public static void ReadInt(out int a)
        {
            int[] number = new int[1];
            ReadInt(number);
            a = number[0];
        }

        public static void ReadInt(out int a, out int b)
        {
            int[] numbers = new int[2];
            ReadInt(numbers);
            a = numbers[0];
            b = numbers[1];
        }

        public static void ReadInt(out int int1, out int int2, out int int3)
        {
            int[] numbers = new int[3];
            ReadInt(numbers);
            int1 = numbers[0];
            int2 = numbers[1];
            int3 = numbers[2];
        }

        public static void ReadInt(out int int1, out int int2, out int int3, out int int4)
        {
            int[] numbers = new int[4];
            ReadInt(numbers);
            int1 = numbers[0];
            int2 = numbers[1];
            int3 = numbers[2];
            int4 = numbers[3];
        }

        public static void ReadLong(out long a)
        {
            long[] number = new long[1];
            ReadLong(number);
            a = number[0];
        }

        public static void ReadLong(out long a, out long b)
        {
            long[] numbers = new long[2];
            ReadLong(numbers);
            a = numbers[0];
            b = numbers[1];
        }

        public static void ReadLong(out long int1, out long int2, out long int3)
        {
            long[] numbers = new long[3];
            ReadLong(numbers);
            int1 = numbers[0];
            int2 = numbers[1];
            int3 = numbers[2];
        }

        public static void ReadLong(out long int1, out long int2, out long int3, out long int4)
        {
            long[] numbers = new long[4];
            ReadLong(numbers);
            int1 = numbers[0];
            int2 = numbers[1];
            int3 = numbers[2];
            int4 = numbers[3];
        }

        public static void ReadInt(int[] numbers)
        {
            // ReSharper disable PossibleNullReferenceException
            var list = Console.ReadLine().Split();
            // ReSharper restore PossibleNullReferenceException

            int count = Math.Min(numbers.Length, list.Length);

            for (int i = 0; i < count; i++)
            {
                numbers[i] = int.Parse(list[i]);
            }
        }

        public static int[] ReadDigits()
        {
            // ReSharper disable AssignNullToNotNullAttribute
            return Console.ReadLine().Select(x => int.Parse(x.ToString())).ToArray();
            // ReSharper restore AssignNullToNotNullAttribute
        }

        public static void ReadLong(long[] numbers)
        {
            // ReSharper disable PossibleNullReferenceException
            var list = Console.ReadLine().Split();
            // ReSharper restore PossibleNullReferenceException

            int count = Math.Min(numbers.Length, list.Length);

            for (int i = 0; i < count; i++)
            {
                numbers[i] = long.Parse(list[i]);
            }
        }

        public static void ReadDouble(double[] numbers)
        {
            // ReSharper disable PossibleNullReferenceException
            var list = Console.ReadLine().Split();
            // ReSharper restore PossibleNullReferenceException

            int count = Math.Min(numbers.Length, list.Length);

            for (int i = 0; i < count; i++)
            {
                numbers[i] = double.Parse(list[i]);
            }
        }

        public static void ReadDouble(out double a, out double b)
        {
            double[] numbers = new double[2];
            ReadDouble(numbers);
            a = numbers[0];
            b = numbers[1];
        }

        public static void ReadDouble(out double int1, out double int2, out double int3)
        {
            double[] numbers = new double[3];
            ReadDouble(numbers);
            int1 = numbers[0];
            int2 = numbers[1];
            int3 = numbers[2];
        }

        public static string ReadLine()
        {
            return Console.ReadLine();
        }
    }

    static class MyMath
    {
        public static int GetMinimalPrimeDivisor(int n)
        {
            for (int i = 2; i * i <= n; i++)
            {
                if (n % i == 0)
                {
                    return i;
                }
            }

            return n;
        }

        public static long Sqr(long x)
        {
            return x * x;
        }
    }

    public interface IGraph
    {
        int Vertices  { get; set; }

        IList<int> this[int i] { get; }

        void AddEdge(int u, int v);

        void AddOrientedEdge(int u, int v);
    }

    public class Graph : IGraph
    {
        private List<int>[] m_Edges;

        public int Vertices { get; set; }

        public IList<int> this[int i]
        {
            get
            {
                return this.m_Edges[i];
            }
        }

        public Graph(int vertices)
        {
            this.Vertices = vertices;

            this.m_Edges = new List<int>[vertices];

            for (int i = 0; i < vertices; i++)
            {
                this.m_Edges[i] = new List<int>();
            }
        }

        public void AddEdge(int u, int v)
        {
            this.AddOrientedEdge(u, v);
            this.AddOrientedEdge(v, u);
        }

        public void AddOrientedEdge(int first, int second)
        {
            this.m_Edges[first].Add(second);
        }

        public int[] Bfs(int start)
        {
            int[] d = new int[Vertices];
            for (int i = 0; i < Vertices; i++)
            {
                d[i] = -1;
            }

            Queue<int> queue = new Queue<int>();
            queue.Enqueue(start);
            d[start] = 0;

            while (queue.Count > 0)
            {
                int v = queue.Dequeue();
                foreach (int t in this.m_Edges[v].Where(t => d[t] == -1))
                {
                    queue.Enqueue(t);
                    d[t] = d[v] + 1;
                }
            }

            return d;
        }
    }

    class SimpleSumTable
    {
        private readonly int[,] m_Sum;

        public SimpleSumTable(int n, int m, int[,] table)
        {
            m_Sum = new int[n + 1, m + 1];

            for (int i = 1; i < n + 1; i++)
            {
                for (int j = 1; j < m + 1; j++)
                {
                    m_Sum[i, j] = m_Sum[i, j - 1] + m_Sum[i - 1, j] - m_Sum[i - 1, j - 1] + table[i, j];
                }
            }
        }

        public int GetSum(int l, int b, int r, int t)
        {
            return m_Sum[r, t] - m_Sum[r, b] - m_Sum[l, t] + m_Sum[l, b];
        }
    }

    class SegmentTreeSimpleInt<T>
    {
        public int Size { get; private set; }

        private readonly T[] m_Tree;

        private Func<T, T, T> m_Operation;

        private T m_Null;

        public SegmentTreeSimpleInt(int size, Func<T, T, T> operation, T nullElement, IList<T> array = null)
        {
            this.Size = size;
            this.m_Operation = operation;
            this.m_Null = nullElement;

            m_Tree = new T[4 * size];
            if (array != null)
            {
                this.Build(array, 1, 0, size - 1);
            }
        }

        private void Build(IList<T> array, int v, int tl, int tr)
        {
            if (tl == tr)
            {
                m_Tree[v] = array[tl];
            }
            else
            {
                int tm = (tl + tr) / 2;
                this.Build(array, 2 * v, tl, tm);
                this.Build(array, 2 * v + 1, tm + 1, tr);
                this.CalculateNode(v);
            }
        }

        public T GetSum(int l, int r)
        {
            return GetSum(1, 0, Size - 1, l, r);
        }

        private T GetSum(int v, int tl, int tr, int l, int r)
        {
            if (l > r)
            {
                return m_Null;
            }

            if (l == tl && r == tr)
            {
                return m_Tree[v];
            }

            int tm = (tl + tr) / 2;

            return this.m_Operation(GetSum(2 * v, tl, tm, l, Math.Min(r, tm)),GetSum(2 * v + 1, tm + 1, tr, Math.Max(l, tm + 1), r));
        }

        public void Update(int pos, T newValue)
        {
            Update(1, 0, Size - 1, pos, newValue);
        }

        private void Update(int v, int tl, int tr, int pos, T newValue)
        {
            if (tl == tr)
            {
                m_Tree[v] = newValue;
            }
            else
            {
                int tm = (tl + tr) / 2;
                if (pos <= tm)
                {
                    Update(2 * v, tl, tm, pos, newValue);
                }
                else
                {
                    Update(2 * v + 1, tm + 1, tr, pos, newValue);
                }
                this.CalculateNode(v);
            }
        }

        private void CalculateNode(int v)
        {
            m_Tree[v] = this.m_Operation(m_Tree[2 * v], m_Tree[2 * v + 1]);
        }
    }

    struct Pair<TFirst, TSecond>
    {
        public Pair(TFirst first, TSecond second)
            : this()
        {
            this.First = first;
            this.Second = second;
        }

        public TFirst First { set; get; }

        public TSecond Second { set; get; }
    }

    internal class AccumulativeDictionary<TKey> : Dictionary<TKey, int>
    {
        public new void Add(TKey key, int value = 1)
        {
            if (this.ContainsKey(key))
            {
                base[key] += value;
            }
            else
            {
                base.Add(key, value);
            }
        }

        public new int this[TKey key]
        {
            get
            {
                return this.ContainsKey(key) ? base[key] : 0;
            }
            set
            {
                this.Add(key, value);
            }
        }
    }

    class PriorityQueue<T>
    {
        public PriorityQueue(Comparison<T> comparison = null)
        {
            if (comparison == null)
            {
                if (typeof(T).GetInterfaces().Any(i => i == typeof(IComparable<T>)))
                {
                    m_Comparison = (a, b) => ((IComparable<T>)a).CompareTo(b);
                }
                else
                {
                    throw new ApplicationException("Add comparer");
                }
            }
            else
            {
                m_Comparison = comparison;
            }
        }

        public int Count { get; private set; }

        public void Enqueue(T item)
        {
            m_List.Add(item);
            m_Indexes.Add(item, this.Count);
            this.Count++;
            Up(this.Count);
        }

        public T Peek()
        {
            return m_List[0];
        }

        public T Dequeue()
        {
            if (this.Count > 0)
            {
                var result = m_List[0];

                Swap(0, this.Count - 1);
                m_Indexes.Remove(m_List[this.Count - 1]);
                m_List.RemoveAt(this.Count - 1);
                this.Count--;
                this.Down(1);

                return result;
            }
            throw new ApplicationException("Couldn't get element from empty queue");
        }

        public void Update(T item)
        {
            int index = m_Indexes[item];
            this.Up(index + 1);
        }

        private readonly List<T> m_List = new List<T>();

        private readonly Dictionary<T, int> m_Indexes = new Dictionary<T, int>();

        private readonly Comparison<T> m_Comparison;

        private void Up(int index)
        {
            while (index > 1 && m_Comparison.Invoke(m_List[index - 1], m_List[index / 2 - 1]) > 0)
            {
                this.Swap(index - 1, index / 2 - 1);

                index = index / 2;
            }
        }

        private void Down(int index)
        {
            while (2 * index <= this.Count && m_Comparison.Invoke(m_List[index - 1], m_List[2 * index - 1]) < 0 ||
                   2 * index + 1 <= this.Count && m_Comparison.Invoke(m_List[index - 1], m_List[2 * index]) < 0)
            {
                if (2 * index + 1 > this.Count || m_Comparison.Invoke(m_List[2 * index - 1], m_List[2 * index]) > 0)
                {
                    this.Swap(index - 1, 2 * index - 1);
                    index = 2 * index;
                }
                else
                {
                    this.Swap(index - 1, 2 * index);
                    index = 2 * index + 1;
                }
            }
        }

        private void Swap(int i, int j)
        {
            var tmp = m_List[i];
            m_List[i] = m_List[j];
            m_List[j] = tmp;

            m_Indexes[m_List[i]] = i;
            m_Indexes[m_List[j]] = j;
        }
    }

    class Program
    {
        private static StreamReader m_InputStream;

        private static StreamWriter m_OutStream;

        private static void OpenFiles()
        {
            m_InputStream = File.OpenText("input.txt");
            Console.SetIn(m_InputStream);

            m_OutStream = File.CreateText("output.txt");
            Console.SetOut(m_OutStream);
        }

        private static void CloseFiles()
        {
            m_OutStream.Flush();

            m_InputStream.Dispose();
            m_OutStream.Dispose();
        }

        static void Main()
        {
            //OpenFiles();

            new Solution().Solve();

            //CloseFiles();
        }
    }

    internal class Solution
    {
        public void Solve()
        {
            int s, k;
            Reader.ReadInt(out s, out k);

            List<int> result = new List<int>();

            int[] f = new int[100];
            f[0] = 1;

            int t = 0;
            while (f[t] < s)
            {
                t++;
                int sum = 0;
                for (int j = Math.Max(0, t - k); j < t; j++)
                {
                    sum += f[j];
                }

                f[t] = sum;
            }

            for (int i = t; i >= 0; i--)
            {
                if (s >= f[i])
                {
                    result.Add(f[i]);
                    s -= f[i];
                    if (s == 0)
                    {
                        break;
                    }
                }
            }

            Console.WriteLine(result.Count);
            foreach (var i in result)
            {
                Console.Write("{0} ", i);
            }
        }
    }
}

using System;
using System.Collections.Generic;
using System.IO;
using System.Linq;

namespace Temp
{
    struct PointInt
    {
        public long X;

        public long Y;

        public PointInt(long x, long y)
            : this()
        {
            this.X = x;
            this.Y = y;
        }

        public static PointInt operator +(PointInt a, PointInt b)
        {
            return new PointInt(a.X + b.X, a.Y + b.Y);
        }

        public static PointInt operator -(PointInt a, PointInt b)
        {
            return new PointInt(a.X - b.X, a.Y - b.Y);
        }

        public static PointInt operator *(PointInt a, long k)
        {
            return new PointInt(k * a.X, k * a.Y);
        }

        public static PointInt operator *(long k, PointInt a)
        {
            return new PointInt(k * a.X, k * a.Y);
        }

        public bool IsInsideRectangle(long l, long b, long r, long t)
        {
            return (l <= X) && (X <= r) && (b <= Y) && (Y <= t);
        }
    }

    struct LineInt
    {
        public LineInt(PointInt a, PointInt b)
            : this()
        {
            A = a.Y - b.Y;
            B = b.X - a.X;
            C = a.X * b.Y - a.Y * b.X;
        }

        public long A, B, C;

        public bool ContainsPoint(PointInt p)
        {
            return A * p.X + B * p.Y + C == 0;
        }
    }

    class MatrixInt
    {
        private long[,] m_Matrix;

        public int Size
        {
            get
            {
                return m_Matrix.GetLength(0) - 1;
            }
        }

        public long Mod { get; private set; }

        public MatrixInt(int size, long mod = 0)
        {
            m_Matrix = new long[size + 1, size + 1];
            Mod = mod;
        }

        public MatrixInt(long[,] matrix, long mod = 0)
        {
            this.m_Matrix = matrix;
            Mod = mod;
        }

        public static MatrixInt GetIdentityMatrix(int size, long mod = 0)
        {
            long[,] matrix = new long[size + 1, size + 1];

            for (int i = 1; i <= size; i++)
            {
                matrix[i, i] = 1;
            }

            return new MatrixInt(matrix, mod);
        }

        public long this[int i, int j]
        {
            get
            {
                return m_Matrix[i, j];
            }

            set
            {
                m_Matrix[i, j] = value;
            }
        }

        public static MatrixInt operator +(MatrixInt a, MatrixInt b)
        {
            int n = a.Size;
            long mod = Math.Max(a.Mod, b.Mod);
            long[,] c = new long[n, n];
            for (int i = 1; i <= n; i++)
            {
                for (int j = 1; j <= n; j++)
                {
                    c[i, j] = a[i, j] + b[i, j];
                }
            }

            if (mod > 0)
            {
                for (int i = 1; i <= n; i++)
                {
                    for (int j = 1; j <= n; j++)
                    {
                        c[i, j] %= mod;
                    }
                }
            }

            return new MatrixInt(c, mod);
        }

        public static MatrixInt operator *(MatrixInt a, MatrixInt b)
        {
            int n = a.Size;
            long mod = Math.Max(a.Mod, b.Mod);

            long[,] c = new long[n, n];

            for (int i = 1; i <= n; i++)
            {
                for (int j = 1; j <= n; j++)
                {
                    for (int k = 1; k <= n; k++)
                    {
                        c[i, j] += a[i, k] * b[k, j];
                        if (mod > 0)
                        {
                            c[i, j] %= mod;
                        }
                    }
                }
            }

            return new MatrixInt(c, mod);
        }
    }

    static class Algebra
    {
        public static long Phi(long n)
        {
            long result = n;
            for (long i = 2; i * i <= n; i++)
            {
                if (n % i == 0)
                {
                    while (n % i == 0)
                    {
                        n /= i;
                    }

                    result -= result / i;
                }
            }

            if (n > 1)
            {
                result -= result / n;
            }

            return result;
        }

        public static long BinPower(long a, long n, long mod)
        {
            long result = 1;

            while (n > 0)
            {
                if ((n & 1) != 0)
                {
                    result = (result * a) % mod;
                }

                a = (a * a) % mod;
                n >>= 1;
            }

            return result;
        }

        public static class Permutations
        {
            public static int[] GetRandomPermutation(int n)
            {
                int[] p = new int[n];
                for (int i = 0; i < n; i++)
                {
                    p[i] = i;
                }

                Random random = new Random();
                for (int i = n - 1; i > 0; i--)
                {
                    int j = random.Next(i + 1);
                    int tmp = p[i];
                    p[i] = p[j];
                    p[j] = tmp;
                }

                return p;
            }
        }

        public static T[] Shuffle<T>(this T[] array)
        {
            int length = array.Length;
            int[] p = Permutations.GetRandomPermutation(length);
            T[] result = new T[length];
            for (int i = 0; i < length; i++)
            {
                result[i] = array[p[i]];
            }

            return result;
        }

        public static MatrixInt MatrixBinPower(MatrixInt a, long n)
        {
            MatrixInt result = new MatrixInt(a.Size);

            while (n > 0)
            {
                if ((n & 1) != 0)
                {
                    result *= a;
                }

                a *= a;
                n >>= 1;
            }

            return result;
        }

        public static long Gcd(long a, long b)
        {
            return b == 0 ? a : Gcd(b, a % b);
        }

        public static long ExtendedGcd(long a, long b, out long x, out long y)
        {
            if (b == 0)
            {
                x = 1;
                y = 0;
                return a;
            }

            long x1;
            long y1;
            long d = ExtendedGcd(b, a % b, out x1, out y1);
            x = y1;
            y = x1 - (a / b) * y1;
            return d;
        }

        public static long Lcm(long a, long b)
        {
            return (a / Gcd(a, b)) * b;
        }

        public static bool[] GetPrimes(int n)
        {
            n = Math.Max(n, 2);
            bool[] prime = new bool[n + 1];
            for (int i = 2; i <= n; i++)
            {
                prime[i] = true;
            }

            for (int i = 2; i * i <= n; i++)
            {
                if (prime[i])
                {
                    if ((long)i * i <= n)
                    {
                        for (int j = i * i; j <= n; j += i)
                        {
                            prime[j] = false;
                        }
                    }
                }
            }

            return prime;
        }

        public static long GetFibonacciNumber(long n, long mod = 0)
        {
            long[,] matrix = new long[,] { { 0, 0, 0 }, { 0, 0, 1 }, { 0, 1, 1 } };

            MatrixInt result = MatrixBinPower(new MatrixInt(matrix, mod), n);

            return result[2, 2];
        }

        public static long[] GetFibonacciSequence(int n)
        {
            long[] result = new long[n];
            result[0] = result[1] = 1;

            for (int i = 2; i < n; i++)
            {
                result[i] = result[i - 1] + result[i - 2];
            }

            return result;
        }

        public static long GetInverseElement(long a, long mod)
        {
            long x, y;
            long g = ExtendedGcd(a, mod, out x, out y);

            if (g != 1)
            {
                return -1;
            }

            return ((x % mod) + mod) % mod;
        }

        public static long[] GetAllInverseElements(long mod)
        {
            long[] result = new long[mod];
            result[1] = 1;
            for (int i = 2; i < mod; i++)
            {
                result[i] = (mod - (((mod / i) * result[mod % i]) % mod)) % mod;
            }

            return result;
        }
    }

    internal static class Reader
    {
        public static void ReadInt(out int a)
        {
            int[] number = new int[1];
            ReadInt(number);
            a = number[0];
        }

        public static void ReadInt(out int a, out int b)
        {
            int[] numbers = new int[2];
            ReadInt(numbers);
            a = numbers[0];
            b = numbers[1];
        }

        public static void ReadInt(out int int1, out int int2, out int int3)
        {
            int[] numbers = new int[3];
            ReadInt(numbers);
            int1 = numbers[0];
            int2 = numbers[1];
            int3 = numbers[2];
        }

        public static void ReadInt(out int int1, out int int2, out int int3, out int int4)
        {
            int[] numbers = new int[4];
            ReadInt(numbers);
            int1 = numbers[0];
            int2 = numbers[1];
            int3 = numbers[2];
            int4 = numbers[3];
        }

        public static void ReadLong(out long a)
        {
            long[] number = new long[1];
            ReadLong(number);
            a = number[0];
        }

        public static void ReadLong(out long a, out long b)
        {
            long[] numbers = new long[2];
            ReadLong(numbers);
            a = numbers[0];
            b = numbers[1];
        }

        public static void ReadLong(out long int1, out long int2, out long int3)
        {
            long[] numbers = new long[3];
            ReadLong(numbers);
            int1 = numbers[0];
            int2 = numbers[1];
            int3 = numbers[2];
        }

        public static void ReadLong(out long int1, out long int2, out long int3, out long int4)
        {
            long[] numbers = new long[4];
            ReadLong(numbers);
            int1 = numbers[0];
            int2 = numbers[1];
            int3 = numbers[2];
            int4 = numbers[3];
        }

        public static void ReadInt(int[] numbers)
        {
            // ReSharper disable PossibleNullReferenceException
            var list = Console.ReadLine().Split();
            // ReSharper restore PossibleNullReferenceException

            int count = Math.Min(numbers.Length, list.Length);

            for (int i = 0; i < count; i++)
            {
                numbers[i] = int.Parse(list[i]);
            }
        }

        public static int[] ReadDigits()
        {
            // ReSharper disable AssignNullToNotNullAttribute
            return Console.ReadLine().Select(x => int.Parse(x.ToString())).ToArray();
            // ReSharper restore AssignNullToNotNullAttribute
        }

        public static void ReadLong(long[] numbers)
        {
            // ReSharper disable PossibleNullReferenceException
            var list = Console.ReadLine().Split();
            // ReSharper restore PossibleNullReferenceException

            int count = Math.Min(numbers.Length, list.Length);

            for (int i = 0; i < count; i++)
            {
                numbers[i] = long.Parse(list[i]);
            }
        }

        public static void ReadDouble(double[] numbers)
        {
            // ReSharper disable PossibleNullReferenceException
            var list = Console.ReadLine().Split();
            // ReSharper restore PossibleNullReferenceException

            int count = Math.Min(numbers.Length, list.Length);

            for (int i = 0; i < count; i++)
            {
                numbers[i] = double.Parse(list[i]);
            }
        }

        public static void ReadDouble(out double a, out double b)
        {
            double[] numbers = new double[2];
            ReadDouble(numbers);
            a = numbers[0];
            b = numbers[1];
        }

        public static void ReadDouble(out double int1, out double int2, out double int3)
        {
            double[] numbers = new double[3];
            ReadDouble(numbers);
            int1 = numbers[0];
            int2 = numbers[1];
            int3 = numbers[2];
        }

        public static string ReadLine()
        {
            return Console.ReadLine();
        }
    }

    static class MyMath
    {
        public static int GetMinimalPrimeDivisor(int n)
        {
            for (int i = 2; i * i <= n; i++)
            {
                if (n % i == 0)
                {
                    return i;
                }
            }

            return n;
        }

        public static long Sqr(long x)
        {
            return x * x;
        }
    }

    public interface IGraph
    {
        int Vertices  { get; set; }

        IList<int> this[int i] { get; }

        void AddEdge(int u, int v);

        void AddOrientedEdge(int u, int v);
    }

    public class Graph : IGraph
    {
        private List<int>[] m_Edges;

        public int Vertices { get; set; }

        public IList<int> this[int i]
        {
            get
            {
                return this.m_Edges[i];
            }
        }

        public Graph(int vertices)
        {
            this.Vertices = vertices;

            this.m_Edges = new List<int>[vertices];

            for (int i = 0; i < vertices; i++)
            {
                this.m_Edges[i] = new List<int>();
            }
        }

        public void AddEdge(int u, int v)
        {
            this.AddOrientedEdge(u, v);
            this.AddOrientedEdge(v, u);
        }

        public void AddOrientedEdge(int first, int second)
        {
            this.m_Edges[first].Add(second);
        }

        public int[] Bfs(int start)
        {
            int[] d = new int[Vertices];
            for (int i = 0; i < Vertices; i++)
            {
                d[i] = -1;
            }

            Queue<int> queue = new Queue<int>();
            queue.Enqueue(start);
            d[start] = 0;

            while (queue.Count > 0)
            {
                int v = queue.Dequeue();
                foreach (int t in this.m_Edges[v].Where(t => d[t] == -1))
                {
                    queue.Enqueue(t);
                    d[t] = d[v] + 1;
                }
            }

            return d;
        }
    }

    class SimpleSumTable
    {
        private readonly int[,] m_Sum;

        public SimpleSumTable(int n, int m, int[,] table)
        {
            m_Sum = new int[n + 1, m + 1];

            for (int i = 1; i < n + 1; i++)
            {
                for (int j = 1; j < m + 1; j++)
                {
                    m_Sum[i, j] = m_Sum[i, j - 1] + m_Sum[i - 1, j] - m_Sum[i - 1, j - 1] + table[i, j];
                }
            }
        }

        public int GetSum(int l, int b, int r, int t)
        {
            return m_Sum[r, t] - m_Sum[r, b] - m_Sum[l, t] + m_Sum[l, b];
        }
    }

    class SegmentTreeSimpleInt<T>
    {
        public int Size { get; private set; }

        private readonly T[] m_Tree;

        private Func<T, T, T> m_Operation;

        private T m_Null;

        public SegmentTreeSimpleInt(int size, Func<T, T, T> operation, T nullElement, IList<T> array = null)
        {
            this.Size = size;
            this.m_Operation = operation;
            this.m_Null = nullElement;

            m_Tree = new T[4 * size];
            if (array != null)
            {
                this.Build(array, 1, 0, size - 1);
            }
        }

        private void Build(IList<T> array, int v, int tl, int tr)
        {
            if (tl == tr)
            {
                m_Tree[v] = array[tl];
            }
            else
            {
                int tm = (tl + tr) / 2;
                this.Build(array, 2 * v, tl, tm);
                this.Build(array, 2 * v + 1, tm + 1, tr);
                this.CalculateNode(v);
            }
        }

        public T GetSum(int l, int r)
        {
            return GetSum(1, 0, Size - 1, l, r);
        }

        private T GetSum(int v, int tl, int tr, int l, int r)
        {
            if (l > r)
            {
                return m_Null;
            }

            if (l == tl && r == tr)
            {
                return m_Tree[v];
            }

            int tm = (tl + tr) / 2;

            return this.m_Operation(GetSum(2 * v, tl, tm, l, Math.Min(r, tm)),GetSum(2 * v + 1, tm + 1, tr, Math.Max(l, tm + 1), r));
        }

        public void Update(int pos, T newValue)
        {
            Update(1, 0, Size - 1, pos, newValue);
        }

        private void Update(int v, int tl, int tr, int pos, T newValue)
        {
            if (tl == tr)
            {
                m_Tree[v] = newValue;
            }
            else
            {
                int tm = (tl + tr) / 2;
                if (pos <= tm)
                {
                    Update(2 * v, tl, tm, pos, newValue);
                }
                else
                {
                    Update(2 * v + 1, tm + 1, tr, pos, newValue);
                }
                this.CalculateNode(v);
            }
        }

        private void CalculateNode(int v)
        {
            m_Tree[v] = this.m_Operation(m_Tree[2 * v], m_Tree[2 * v + 1]);
        }
    }

    struct Pair<TFirst, TSecond>
    {
        public Pair(TFirst first, TSecond second)
            : this()
        {
            this.First = first;
            this.Second = second;
        }

        public TFirst First { set; get; }

        public TSecond Second { set; get; }
    }

    internal class AccumulativeDictionary<TKey> : Dictionary<TKey, int>
    {
        public new void Add(TKey key, int value = 1)
        {
            if (this.ContainsKey(key))
            {
                base[key] += value;
            }
            else
            {
                base.Add(key, value);
            }
        }

        public new int this[TKey key]
        {
            get
            {
                return this.ContainsKey(key) ? base[key] : 0;
            }
            set
            {
                this.Add(key, value);
            }
        }
    }

    class PriorityQueue<T>
    {
        public PriorityQueue(Comparison<T> comparison = null)
        {
            if (comparison == null)
            {
                if (typeof(T).GetInterfaces().Any(i => i == typeof(IComparable<T>)))
                {
                    m_Comparison = (a, b) => ((IComparable<T>)a).CompareTo(b);
                }
                else
                {
                    throw new ApplicationException("Add comparer");
                }
            }
            else
            {
                m_Comparison = comparison;
            }
        }

        public int Count { get; private set; }

        public void Enqueue(T item)
        {
            m_List.Add(item);
            m_Indexes.Add(item, this.Count);
            this.Count++;
            Up(this.Count);
        }

        public T Peek()
        {
            return m_List[0];
        }

        public T Dequeue()
        {
            if (this.Count > 0)
            {
                var result = m_List[0];

                Swap(0, this.Count - 1);
                m_Indexes.Remove(m_List[this.Count - 1]);
                m_List.RemoveAt(this.Count - 1);
                this.Count--;
                this.Down(1);

                return result;
            }
            throw new ApplicationException("Couldn't get element from empty queue");
        }

        public void Update(T item)
        {
            int index = m_Indexes[item];
            this.Up(index + 1);
        }

        private readonly List<T> m_List = new List<T>();

        private readonly Dictionary<T, int> m_Indexes = new Dictionary<T, int>();

        private readonly Comparison<T> m_Comparison;

        private void Up(int index)
        {
            while (index > 1 && m_Comparison.Invoke(m_List[index - 1], m_List[index / 2 - 1]) > 0)
            {
                this.Swap(index - 1, index / 2 - 1);

                index = index / 2;
            }
        }

        private void Down(int index)
        {
            while (2 * index <= this.Count && m_Comparison.Invoke(m_List[index - 1], m_List[2 * index - 1]) < 0 ||
                   2 * index + 1 <= this.Count && m_Comparison.Invoke(m_List[index - 1], m_List[2 * index]) < 0)
            {
                if (2 * index + 1 > this.Count || m_Comparison.Invoke(m_List[2 * index - 1], m_List[2 * index]) > 0)
                {
                    this.Swap(index - 1, 2 * index - 1);
                    index = 2 * index;
                }
                else
                {
                    this.Swap(index - 1, 2 * index);
                    index = 2 * index + 1;
                }
            }
        }

        private void Swap(int i, int j)
        {
            var tmp = m_List[i];
            m_List[i] = m_List[j];
            m_List[j] = tmp;

            m_Indexes[m_List[i]] = i;
            m_Indexes[m_List[j]] = j;
        }
    }

    class Program
    {
        private static StreamReader m_InputStream;

        private static StreamWriter m_OutStream;

        private static void OpenFiles()
        {
            m_InputStream = File.OpenText("input.txt");
            Console.SetIn(m_InputStream);

            m_OutStream = File.CreateText("output.txt");
            Console.SetOut(m_OutStream);
        }

        private static void CloseFiles()
        {
            m_OutStream.Flush();

            m_InputStream.Dispose();
            m_OutStream.Dispose();
        }

        static void Main()
        {
            //OpenFiles();

            new Solution().Solve();

            //CloseFiles();
        }
    }

    internal class Solution
    {
        public void Solve()
        {
            int s, k;
            Reader.ReadInt(out s, out k);

            List<int> result = new List<int>();

            int[] f = new int[100];
            f[0] = 1;

            int t = 0;
            while (f[t] < s)
            {
                t++;
                int sum = 0;
                for (int j = Math.Max(0, t - k); j < t; j++)
                {
                    sum += f[j];
                }

                f[t] = sum;
            }

            if (f[t] == s)
            {
                t--;
            }

            for (int i = t; i >= 0; i--)
            {
                if (s >= f[i])
                {
                    result.Add(f[i]);
                    s -= f[i];
                    if (s == 0)
                    {
                        break;
                    }
                }
            }

            Console.WriteLine(result.Count);
            foreach (var i in result)
            {
                Console.Write("{0} ", i);
            }
        }
    }
}

using System;
using System.Collections.Generic;
using System.IO;
using System.Text;

namespace Well_known_Numbers
{
    internal class Program
    {
        private static readonly StreamReader reader = new StreamReader(Console.OpenStandardInput(1024*10), Encoding.ASCII, false, 1024*10);
        private static readonly StreamWriter writer = new StreamWriter(Console.OpenStandardOutput(1024*10), Encoding.ASCII, 1024*10);

        private static void Main(string[] args)
        {
            int s = Next();
            int k = Next();

            var list = new List<int> {1};

            int index0 = -k;

            int sum = 1;
            while (sum < s)
            {
                list.Add(sum);

                sum += sum;
                index0++;
                if (index0 >= 0)
                    sum -= list[index0];
            }

            var ans = new List<int>();
            list.Reverse();

            foreach (int i in list)
            {
                if (s >= i)
                {
                    ans.Add(i);
                    s -= i;
                    if (s == 0)
                        break;
                }
            }

            writer.WriteLine(ans.Count);
            foreach (int an in ans)
            {
                writer.Write(an);
                writer.Write(' ');
            }
            writer.Flush();
        }

        private static int Next()
        {
            int c;
            int res = 0;
            do
            {
                c = reader.Read();
                if (c == -1)
                    return res;
            } while (c < '0' || c > '9');
            res = c - '0';
            while (true)
            {
                c = reader.Read();
                if (c < '0' || c > '9')
                    return res;
                res *= 10;
                res += c - '0';
            }
        }
    }
}


В Берляндском государственном университете локальная сеть между серверами не всегда работает без ошибок. При передаче двух одинаковых сообщений подряд возможна ошибка, в результате которой эти два сообщения сливаются в одно. При таком слиянии конец первого сообщения совмещается с началом второго. Конечно, совмещение может происходить только по одинаковым символам. Длина совмещения должна быть положительным числом, меньшим длины текста сообщения. Например, при передаче двух сообщений «abrakadabra» подряд возможно, что оно будет передано с ошибкой описанного вида, и тогда будет получено сообщение вида «abrakadabrabrakadabra» или «abrakadabrakadabra» (в первом случае совмещение произошло по одному символу, а во втором — по четырем).По полученному сообщению t определите, возможно ли, что это результат ошибки описанного вида работы локальной сети, и если возможно, определите возможное значение s. Не следует считать ошибкой ситуацию полного наложения друга на друга двух сообщений. К примеру, если получено сообщение «abcd», следует считать, что в нём ошибки нет. Аналогично, простое дописывание одного сообщения вслед за другим не является признаком ошибки. Например, если получено сообщение «abcabc», следует считать, что в нём ошибки нет.

В единственной строке выходных данных следует непустая строка t, состоящая из строчных букв латинского алфавита. Длина строки t не превосходит 100 символов.

Если сообщение t не может содержать ошибки, выведите «NO» (без кавычек) в единственную строку выходных данных. В противном случае в первой строке выведите «YES» (без кавычек), а в следующей строке выведите строку s — возможное сообщение, которое могло привести к ошибке. Если возможных ответов несколько, разрешается вывести любой из них.

abrakadabrabrakadabra acacacaca abcabc abababab tatbt

ПримечаниеВо втором примере подходящим ответом также является строка acacaca.

using System;

namespace Олимпиада2
{
    class Program
    {
        static void Main(string[] args)
        {
            bool contin = true;
            bool start = true;
            string msg = Console.ReadLine();
            if (msg.Length == 1 || String.IsNullOrEmpty(msg) || msg.Length == 2)
            {
                Console.WriteLine("NO");
                start = false;
            }
            if (start == true)
            {
                for (int i = 0; i <= msg.Length / 2; i++)
                {
                    if (msg.Length % 2 != 0 && msg.Substring(0, msg.Length / 2 + i) == msg.Substring(msg.Length / 2 - i + 1, msg.Length / 2 + i) && msg.Length / 2 + msg.Length / 2 + i + 1 > msg.Length && msg.Length / 2 - i + 1 != 0)
                    {
                        Console.WriteLine("YES\n" + msg.Substring(0, msg.Length / 2 + i));
                        contin = false;
                        break;
                    }
                    else if (msg.Length % 2 == 0 && msg.Substring(0, msg.Length / 2 + i) == msg.Substring(msg.Length / 2 - i, msg.Length / 2 + i) && msg.Length / 2 + msg.Length / 2 + i > msg.Length && msg.Length / 2 - i != 0)
                    {
                        Console.WriteLine("YES\n" + msg.Substring(0, msg.Length / 2 + i));
                        contin = false;
                        break;
                    }
                    if (i >= msg.Length / 2)
                    {
                        Console.WriteLine("NO");
                        contin = false;
                        break;
                    }
                }
                if (contin)
                {
                    if (msg.Length % 2 == 0 && msg.Substring(0, msg.Length / 2 - 1) == msg.Substring(msg.Length / 2, msg.Length / 2 - 1))
                    {
                        Console.WriteLine("NO");
                    }
                }
            }
            Console.ReadLine();
        }
    }
}

using System;

namespace Олимпиада2
{
    class Program
    {
        static void Main(string[] args)
        {
            bool contin = true;
            bool start = true;
            string msg = Console.ReadLine();
            if (msg.Length == 1 || String.IsNullOrEmpty(msg) || msg.Length == 2)
            {
                Console.WriteLine("NO");
                start = false;
            }
            if (start == true)
            {
                for (int i = 0; i <= msg.Length / 2; i++)
                {
                    if (msg.Length % 2 != 0 && msg.Substring(0, msg.Length / 2 + i) == msg.Substring(msg.Length / 2 - i + 1, msg.Length / 2 + i) && msg.Length / 2 + msg.Length / 2 + i + 1 > msg.Length && msg.Length / 2 - i + 1 != 0)
                    {
                        Console.WriteLine("YES\n" + msg.Substring(0, msg.Length / 2 + i));
                        contin = false;
                        break;
                    }
                    else if (msg.Length % 2 == 0 && msg.Substring(0, msg.Length / 2 + i) == msg.Substring(msg.Length / 2 - i, msg.Length / 2 + i) && msg.Length / 2 + msg.Length / 2 + i > msg.Length && msg.Length / 2 - i != 0)
                    {
                        Console.WriteLine("YES\n" + msg.Substring(0, msg.Length / 2 + i) + "\n" + i);
                        contin = false;
                        break;
                    }
                    if (i >= msg.Length / 2)
                    {
                        Console.WriteLine("NO");
                        contin = false;
                        break;
                    }
                }
                if (contin)
                {
                    if (msg.Length % 2 == 0 && msg.Substring(0, msg.Length / 2 - 1) == msg.Substring(msg.Length / 2, msg.Length / 2 - 1))
                    {
                        Console.WriteLine("NO");
                    }
                }
            }
            Console.ReadLine();
        }
    }
}

using System;

namespace Олимпиада2
{
    class Program
    {
        static void Main(string[] args)
        {
            bool contin = true;
            bool start = true;
            string msg = Console.ReadLine();
            if (msg.Length == 1 || String.IsNullOrEmpty(msg))
            {
                Console.WriteLine("NO");
                start = false;
            }
            if (start == true)
            {
                for (int i = 0; i < msg.Length / 2; i++)
                {
                    if (msg.Length % 2 != 0 && msg.Substring(0, msg.Length / 2 + i) == msg.Substring(msg.Length / 2 - i + 1, msg.Length / 2 + i))
                    {
                        Console.WriteLine("YES\n" + msg.Substring(0, msg.Length / 2 + i));
                        contin = false;
                        break;
                    }
                    else if (msg.Length % 2 == 0 && i > 0 && msg.Substring(0, msg.Length / 2 + i) == msg.Substring(msg.Length / 2 - i, msg.Length / 2 + i))
                    {
                        Console.WriteLine("YES\n" + msg.Substring(0, msg.Length / 2 + i));
                        contin = false;
                        break;
                    }
                    if (i == msg.Length / 2 - 1)
                    {
                        Console.WriteLine("NO");
                        contin = false;
                        break;
                    }
                }
                if (contin)
                {
                    if (msg.Length % 2 == 0 && msg.Substring(0, msg.Length / 2 - 1) == msg.Substring(msg.Length / 2, msg.Length / 2 - 1))
                    {
                        Console.WriteLine("NO");
                    }
                }
            }
        }
    }
}