3552: Little Girl and Maximum XOR
Description
A little girl loves problems on bitwise operations very much. Here's one of them.
You are given two integers l and r. Let's consider the values of for all pairs of integers a and b (l≤a≤b≤r). Your task is to find the maximum value among all considered ones.
Expression means applying bitwise excluding or operation to integers x and y. The given operation exists in all modern programming languages, for example, in languages C++ and Java it is represented as "^", in Pascal − as «xor».
The single line contains space-separated integers l and r (1≤l≤r≤1018).
Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier.
In a single line print a single integer − the maximum value of for all pairs of integers a, b (l≤a≤b≤r).
1 2
3
8 16
31
1 1
0