C. Vus the Cossack and Strings
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

Vus the Cossack has two binary strings, that is, strings that consist only of "0" and "1". We call these strings $a$ and $b$. It is known that $|b| \leq |a|$, that is, the length of $b$ is at most the length of $a$.

The Cossack considers every substring of length $|b|$ in string $a$. Let's call this substring $c$. He matches the corresponding characters in $b$ and $c$, after which he counts the number of positions where the two strings are different. We call this function $f(b, c)$.

For example, let $b = 00110$, and $c = 11000$. In these strings, the first, second, third and fourth positions are different.

Vus the Cossack counts the number of such substrings $c$ such that $f(b, c)$ is even.

For example, let $a = 01100010$ and $b = 00110$. $a$ has four substrings of the length $|b|$: $01100$, $11000$, $10001$, $00010$.

• $f(00110, 01100) = 2$;
• $f(00110, 11000) = 4$;
• $f(00110, 10001) = 4$;
• $f(00110, 00010) = 1$.

Since in three substrings, $f(b, c)$ is even, the answer is $3$.

Vus can not find the answer for big strings. That is why he is asking you to help him.

Input

The first line contains a binary string $a$ ($1 \leq |a| \leq 10^6$) — the first string.

The second line contains a binary string $b$ ($1 \leq |b| \leq |a|$) — the second string.

Output

Print one number — the answer.

Examples
Input
01100010
00110

Output
3

Input
1010111110
0110

Output
4

Note

The first example is explained in the legend.

In the second example, there are five substrings that satisfy us: $1010$, $0101$, $1111$, $1111$.