New Year and Old Property

2000ms

262144K

Description:

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 — 2015₁₀ = 11111011111₂. 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.

Input:

The only line of the input contains two integers a and b (1 ≤ a ≤ b ≤ 10¹⁸) — the first year and the last year in Limak's interval respectively.

Output:

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

Sample Input:

5 10

Sample Output:

Sample Input:

2015 2015

Sample Output:

Sample Input:

100 105

Sample Output:

Sample Input:

72057594000000000 72057595000000000

Sample Output:

Note:

In the first sample Limak's interval contains numbers 5₁₀ = 101₂, 6₁₀ = 110₂, 7₁₀ = 111₂, 8₁₀ = 1000₂, 9₁₀ = 1001₂ and 10₁₀ = 1010₂. Two of them (101₂ and 110₂) have the described property.

Informação

Provedor Codeforces

Código CF611B