New Year and Old Property

题意翻译

给出A、B，请你求出从A到B之间的所有数中，有多少数转化为2进制后，只有一个零。 1<=a,b<=10^18 翻译提供者：Hantx0818

题目描述

The year 2015 is almost over. Limak is a little polar bear. He has recently learnt about the binary system. He noticed that the passing year has exactly one zero in its representation in the binary system — $ 2015_{10}=11111011111_{2} $ . Note that he doesn't care about the number of zeros in the decimal representation. Limak chose some interval of years. He is going to count all years from this interval that have exactly one zero in the binary representation. Can you do it faster? Assume that all positive integers are always written without leading zeros.

输入输出格式

输入格式

The only line of the input contains two integers $ a $ and $ b $ ( $ 1<=a<=b<=10^{18} $ ) — the first year and the last year in Limak's interval respectively.

输出格式

Print one integer – the number of years Limak will count in his chosen interval.

输入输出样例

输入样例 #1

5 10

输出样例 #1

2

输入样例 #2

2015 2015

输出样例 #2

1

输入样例 #3

100 105

输出样例 #3

0

输入样例 #4

72057594000000000 72057595000000000

输出样例 #4

26

说明

In the first sample Limak's interval contains numbers $ 5_{10}=101_{2} $ , $ 6_{10}=110_{2} $ , $ 7_{10}=111_{2} $ , $ 8_{10}=1000_{2} $ , $ 9_{10}=1001_{2} $ and $ 10_{10}=1010_{2} $ . Two of them ( $ 101_{2} $ and $ 110_{2} $ ) have the described property.