Problem:
Score : 900 points

Problem Statement

Nukes has an integer that can be represented as the bitwise OR of one or more integers between A and B (inclusive).
How many possible candidates of the value of Nukes's integer there are?

Constraints

1 ≤ A ≤ B < 2^{60}

A and B are integers.

Input

The input is given from Standard Input in the following format:

A
B

Output

Print the number of possible candidates of the value of Nukes's integer.

Sample Input 1

7
9

Sample Output 1

4

In this case, A=7 and B=9. There are four integers that can be represented as the bitwise OR of a non-empty subset of {7, 8, 9}: 7, 8, 9 and 15.

Sample Input 2

65
98

Sample Output 2

63

Sample Input 3

271828182845904523
314159265358979323

Sample Output 3

68833183630578410

Solution in C# (Mono 4.6.2.0) (judge verdict: Wrong Answer)

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

#region code challenges entry point
#if !SOLVER_ATWORKSPACE
class Program{static void Main(string[] args){using (var output = new CC.BP.FormattedStreamWriter(Console.OpenStandardOutput()))using (var input = new CC.BP.BufferedStreamReader(Console.OpenStandardInput()))new CC.ConcreteSolver(input, output).Do();}}
#endif
#endregion

#region code helpers boilerplate
namespace CC.BP
{    
    class BufferedStreamReader : StreamReader { const int QUEUE_INITSIZE = 1000; public BufferedStreamReader(String fileName): base(fileName) { } public BufferedStreamReader(Stream stream): base(stream) { } private Queue<string> buffer = new Queue<string>(QUEUE_INITSIZE); public override string ReadLine() { if (buffer.Count > 0) throw new InvalidOperationException("must read from buffer first"); return base.ReadLine(); } public string ReadToken() { while (buffer.Count == 0) { base.ReadLine().Split(new[] { ' ', '\t' }, StringSplitOptions.RemoveEmptyEntries).ToList().ForEach((t) => { buffer.Enqueue(t); }); } return buffer.Dequeue(); } public void ResetBuffer() { buffer = new Queue<string>(QUEUE_INITSIZE); } }
    class FormattedStreamWriter : StreamWriter { public FormattedStreamWriter(Stream stream) : base(stream) { } public FormattedStreamWriter(string filePath) : base(filePath) { } public override IFormatProvider FormatProvider { get { return CultureInfo.InvariantCulture; } } }
    static class IOExtensions
    {
        public static string String(this BufferedStreamReader reader) { return reader.ReadToken(); }
        public static string[] StringArray(this BufferedStreamReader reader, int n) { var array = new string[n]; for (int i = 0; i < n; ++i) { array[i] = reader.ReadToken(); } return array; }
        public static int Int(this BufferedStreamReader reader) { return int.Parse(reader.ReadToken(), CultureInfo.InvariantCulture); }
        public static int[] IntArray(this BufferedStreamReader reader, int n) { var array = new int[n]; for (int i = 0; i < n; ++i) { array[i] = int.Parse(reader.ReadToken(), CultureInfo.InvariantCulture); } return array; }
        public static uint UnsignedInt(this BufferedStreamReader reader) { return uint.Parse(reader.ReadToken(), CultureInfo.InvariantCulture); }
        public static long Long(this BufferedStreamReader reader) { return long.Parse(reader.ReadToken(), CultureInfo.InvariantCulture); }
        public static long[] LongArray(this BufferedStreamReader reader, int n) { var array = new long[n]; for (int i = 0; i < n; ++i) { array[i] = long.Parse(reader.ReadToken(), CultureInfo.InvariantCulture); } return array; }
        public static ulong UnsignedLong(this BufferedStreamReader reader) { return ulong.Parse(reader.ReadToken(), CultureInfo.InvariantCulture); }
        public static double Double(this BufferedStreamReader reader) { return double.Parse(reader.ReadToken(), CultureInfo.InvariantCulture); }
        public static double[] DoubleArray(this BufferedStreamReader reader, int n) { var array = new double[n]; for (int i = 0; i < n; ++i) { array[i] = double.Parse(reader.ReadToken(), CultureInfo.InvariantCulture); } return array; }
        public static decimal Decimal(this BufferedStreamReader reader) { return decimal.Parse(reader.ReadToken(), CultureInfo.InvariantCulture); }
        public static decimal[] DecimalArray(this BufferedStreamReader reader, int n) { var array = new decimal[n]; for (int i = 0; i < n; ++i) { array[i] = decimal.Parse(reader.ReadToken(), CultureInfo.InvariantCulture); } return array; }
        public static void ArrayLine<T>(this FormattedStreamWriter writer, T[] array, int n, string format = "{0}", string separator = " ") { for (int i = 0; i < n; ++i) { if (i > 0) writer.Write(separator); writer.Write(format, array[i]); } writer.WriteLine(); }
        public static void ArrayLine<T>(this FormattedStreamWriter writer, T[] array, string format = "{0}", string separator = " ") { writer.ArrayLine(array, array.Length, format, separator); }
    }
    abstract class BaseSolver
    {
        public static T[][] Create2DArray<T>(int dim1, int dim2) { var res = new T[dim1][]; for (int i = 0; i < dim1; ++i) res[i] = new T[dim2]; return res; }
        public static T[][][] Create3DArray<T>(int dim1, int dim2, int dim3) { var res = new T[dim1][][]; for (int i = 0; i < dim1; ++i) res[i] = Create2DArray<T>(dim2, dim3); return res; }
        public static T[][][][] Create4DArray<T>(int dim1, int dim2, int dim3, int dim4) { var res = new T[dim1][][][]; for (int i = 0; i < dim1; ++i) res[i] = Create3DArray<T>(dim2, dim3, dim4); return res; }
        public abstract void Do();
    }
    static class Utils
    {
        public static void Swap<T>(ref T one, ref T second) { T tmp = one; one = second; second = tmp; }
    }
}
#endregion

namespace CC
{
    using CC.BP;
    using System.Diagnostics;

    class ConcreteSolver : BaseSolver
    {
        private readonly BufferedStreamReader read;
        private readonly FormattedStreamWriter write;
        public ConcreteSolver(BufferedStreamReader read, FormattedStreamWriter write)
        {
            this.read = read;
            this.write = write;
        }

        public ulong Max2(ulong x)
        {
            if (x == 0)
                return 0;
            ulong res = 1;
            while (x >= (res << 1))
                res <<= 1;
            return res;
        }

        public override void Do()
        {
            var a = read.UnsignedLong();
            var b = read.UnsignedLong();
            while (b > 0 && Max2(a) == Max2(b))
            {
                var m2 = Max2(a);
                a &= ~m2;
                b &= ~m2;
            }
            if (b == 0)
                write.WriteLine(1);
            else
            {
                var m2 = Max2(b);
                var u = Max2(b & (~m2));
                if (u > 0)
                    u = (u << 1) - 1;
                var res = m2 - a + m2;
                if (u < a - 1)
                    res -= a - 1 - u;
                write.WriteLine(res);
            }
        }
    }
}