Computational ethnography

The natives of Island L write numbers backwards: the most significant digit of a number is written last. For example, $144$ is written as $441$.

Petya, a novice ethnographer and mathematician, studies square numbers and the culture of Island L. He found that some numbers are perfect squares both when read normally and when read the way the natives write them. For example, $144 = 12^2$, and the native form $441 = 21^2$. Petya calls such numbers interesting.

Petya wants to know how many interesting numbers lie between $A$ and $B$, inclusive.

The first line contains the integer $A$. The second line contains the integer $B$. ($1 \le A \le B \le 10^{11}$)

Print the number of interesting numbers from $A$ to $B$.

In the first input, the interesting numbers are $1$, $4$, $9$, $121$, $144$, $169$, $441$, $484$, $676$, and $961$. The natives do not write leading zeros, so $100$ is not interesting.