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Problem

Two natural numbers n and d (with 0 <= d <= 9) are read. Print how many times the digit d appears in the decimal representation of n, using a recursive function.

Define a recursive function count(n, d) that returns the number of occurrences of digit d in n:

count(0, d) = 0
count(n, d) = (n % 10 == d ? 1 : 0) + count(n / 10, d), for n > 0

Special case n == 0: if d == 0, the answer is 1 (the number 0 has one digit, which is 0); otherwise the answer is 0.

Input format

Input input.txt

The program reads from standard input two natural numbers `n` and `d`, separated by a space, with `0 <= d <= 9`. - `0 <= n <= 1.000.000.000` - `0 <= d <= 9` - The solution must use recursion.

Output format

Output output.txt

The program prints a single natural number: how many times digit `d` appears in `n`, followed by a newline.

Example

input
112233 2
output
2

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