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| ≤ |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 ≤ |a| ≤ 10^6) — the first string.

The second line contains a binary string b (1 ≤ |b| ≤ |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.
#!/usr/bin/env python
from __future__ import division, print_function

import os
import sys
from io import BytesIO, IOBase

if sys.version_info[0] < 3:
    from __builtin__ import xrange as range
    from future_builtins import ascii, filter, hex, map, oct, zip

import random
import collections
import math
import itertools
import bisect

def real_main():
    a = read()
    b = read()
    print(solve(a, b))


def solve(a, b):
    ones = b.count('1')
    have = 0
    ans = 0
    bs = len(b)
    for i in range(bs):
        have += a[i] == '1'
    if abs(have - ones) % 2 == 0:
        ans += 1
    for j in range(bs, len(a)):
        have += a[j] == '1'
        have -= a[j-bs] == '1'
        ans += abs(have - ones) % 2 == 0
    return ans


def solve_slow(a, b):
    bs = len(b)
    ans = 0
    for i in range(bs, len(a) + 1):
        ans += sum(c1 != c2 for c1, c2 in zip(b, a[i-bs:i])) % 2 == 0
    return ans


def gen_tests():
    def aux(n):
        return ''.join([str(random.randint(0, 1)) for _ in range(n)])
    for _ in range(100):
        n = random.randint(1, 13)
        yield [aux(n), aux(random.randint(1, n))]


def main():
    if 'PYCHARM_HOSTED' in os.environ:
        main_pycharm()
    else:
        real_main()


from copy import deepcopy
def main_pycharm():
    solution = solve

    test_inputs = None
    test_outputs = None
    judge = None
    slow_solution = solve_slow
    if solution is not None:
        if test_outputs is not None:
            test_with_answers(solution, test_inputs, test_outputs)
        if judge is not None:
            test_with_judge(solution, test_inputs, judge)
        if slow_solution is not None:
            test_with_slow_solution(solution, gen_tests(), slow_solution)


def test_with_answers(solution, inputs, answers):
    total, wrong = 0, 0
    for args, test_ans in zip(inputs, answers):
        ans = solution(*deepcopy(args))
        if ans != test_ans:
            print('WRONG! ans=%s, test_ans=%s, args=%s' % (ans, test_ans, args))
            wrong += 1
        else:
            print('GOOD')
        total += 1
    print('ALL %d TESTS PASSED' % total if not wrong else '%d out of %d tests are WRONG' % (wrong, total))


def test_with_judge(solution, inputs_gen, judge):
    total, wrong = 0, 0
    for args in inputs_gen:
        ans = solution(*deepcopy(args))
        if not judge(deepcopy(ans), *deepcopy(args)):
            print('WRONG! ans=%s, args=%s' % (ans, args))
            wrong += 1
        total += 1
    print('ALL %d TESTS PASSED' % total if not wrong else '%d out of %d tests are WRONG' % (wrong, total))


def test_with_slow_solution(solution, inputs_gen, solution_slow):
    total, wrong = 0, 0
    for args in inputs_gen:
        ans = solution(*deepcopy(args))
        slow = solution_slow(*deepcopy(args))
        if ans != slow:
            print('WRONG! ans=%s, slow=%s, args=%s' % (ans, slow, args))
            wrong += 1
        total += 1
    print('ALL %d TESTS PASSED' % total if not wrong else '%d out of %d tests are WRONG' % (wrong, total))

def generate_nums(n, min, max, check_if_good=None):
    while True:
        nums = [random.randint(min, max) for _ in range(n)]
        if check_if_good is None or check_if_good(nums):
            return nums

# This mergesort can be like 7 times faster than build in sort
# (for stupid reasons)
def mergesort(A, key=lambda x: x, reverse=False):
    C = A
    A = list(range(len(A)))
    B = list(A)

    n = len(A)
    for i in range(0, n - 1, 2):
        if key(C[A[i]]) > key(C[A[i ^ 1]]):
            A[i], A[i ^ 1] = A[i ^ 1], A[i]

    width = 2
    while width < n:
        for i in range(0, n, 2 * width):
            R1, R2 = min(i + width, n), min(i + 2 * width, n)
            j, k = R1, i
            while i < R1 and j < R2:
                if key(C[A[i]]) > key(C[A[j]]):
                    B[k] = A[j]
                    j += 1
                else:
                    B[k] = A[i]
                    i += 1
                k += 1
            while i < R1:
                B[k] = A[i]
                k += 1
                i += 1
            while k < R2:
                B[k] = A[k]
                k += 1
        A, B = B, A
        width *= 2

    if reverse:
        A.reverse()
    return A

def mergesort_simple(A, reverse=False):
    C = A
    A = list(range(len(A)))
    B = list(A)

    n = len(A)
    for i in range(0, n - 1, 2):
        if C[A[i]] > C[A[i ^ 1]]:
            A[i], A[i ^ 1] = A[i ^ 1], A[i]

    width = 2
    while width < n:
        for i in range(0, n, 2 * width):
            R1, R2 = min(i + width, n), min(i + 2 * width, n)
            j, k = R1, i
            while i < R1 and j < R2:
                if C[A[i]] > C[A[j]]:
                    B[k] = A[j]
                    j += 1
                else:
                    B[k] = A[i]
                    i += 1
                k += 1
            while i < R1:
                B[k] = A[i]
                k += 1
                i += 1
            while k < R2:
                B[k] = A[k]
                k += 1
        A, B = B, A
        width *= 2

    if reverse:
        A.reverse()
    return A


# region fastio

BUFSIZE = 8192


class FastIO(IOBase):
    newlines = 0

    def __init__(self, file):
        self._fd = file.fileno()
        self.buffer = BytesIO()
        self.writable = "x" in file.mode or "r" not in file.mode
        self.write = self.buffer.write if self.writable else None

    def read(self):
        while True:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
            if not b:
                break
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines = 0
        return self.buffer.read()

    def readline(self):
        while self.newlines == 0:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
            self.newlines = b.count(b"\n") + (not b)
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines -= 1
        return self.buffer.readline()

    def flush(self):
        if self.writable:
            os.write(self._fd, self.buffer.getvalue())
            self.buffer.truncate(0), self.buffer.seek(0)


class IOWrapper(IOBase):
    def __init__(self, file):
        self.buffer = FastIO(file)
        self.flush = self.buffer.flush
        self.writable = self.buffer.writable
        self.write = lambda s: self.buffer.write(s.encode("ascii"))
        self.read = lambda: self.buffer.read().decode("ascii")
        self.readline = lambda: self.buffer.readline().decode("ascii")


def print(*args, **kwargs):
    """Prints the values to a stream, or to sys.stdout by default."""
    sep, file = kwargs.pop("sep", " "), kwargs.pop("file", sys.stdout)
    at_start = True
    for x in args:
        if not at_start:
            file.write(sep)
        file.write(str(x))
        at_start = False
    file.write(kwargs.pop("end", "\n"))
    if kwargs.pop("flush", False):
        file.flush()


if sys.version_info[0] < 3:
    sys.stdin, sys.stdout = FastIO(sys.stdin), FastIO(sys.stdout)
else:
    sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)

input = lambda: sys.stdin.readline().rstrip("\r\n")

def read():
    return input()

def read_int():
    return int(input())

def read_array(sep=None, maxsplit=-1):
    return input().split(sep, maxsplit)

def read_int_array():
    return [int(a) for a in read_array()]

# endregion

if __name__ == "__main__":
    main()
