Problem C. Little Girl and Maximum XOR

时间限制 2000 ms   内存限制 256 MB

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».

输入数据

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 С++. It is preferred to use the cin, cout streams or the %I64d specifier.

输出数据

In a single line print a single integer — the maximum value of 32eb11ca3b3e1412a8a8cf28f1e899063f73cd50.png for all pairs of integers a, b(l ≤ a ≤ b ≤ r).

样例

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