CCC '09 S1 - Cool Numbers

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Points: 5
Time limit: 1.0s
Memory limit: 256M

Problem type
Canadian Computing Competition: 2009 Stage 1, Senior #1

Eric likes interesting numbers like 64. It turns out that 64 is both a square and a cube, since 64 = 8^2 and 64 = 4^3. Eric calls these numbers cool. Write a program that helps Eric figure out how many integers in a given range are cool.

Input Specification

On the first line of input, you are given an integer a such that a \ge 1 and a \le 10^8. On the second line of input, you are given an integer b such that b \ge a and b \le 10^8.

Output Specification

The output should be the number of cool numbers in the range a to b (inclusively: that is, a and b would count as cool numbers in the range if they were actually cool).

Sample Input 1


Sample Output 1


Sample Input 2


Sample Output 2



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