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Problem · Math

Count Numbers with Sum of Digits

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Problem statement

Given an integer X, write an algorithm to find the number of integers which are less than or equal to X and whose digits add up to Y.

Input

The first line of input consists of an integer - inputNum1, representing the given number X. The next line consists of an integer - inputNum2, representing the given number Y.

Output

Print the count of numbers whose digits add up to Y for the given number X.

Note

If no numbers are found whose digits add up to Y for the given number X, then print -1.

Function

countNumbersWithSumOfDigits(inputNum1: int, inputNum2: int) → int

Examples

Example 1

inputNum1 = 20inputNum2 = 5return = 2

Note - Explanation is an educated guess :) There are two numbers less than or equal to 20 whose digits add up to 5: 14 (1 + 4) and 5 (5). Therefore, the output is 2.

Constraints

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Problem statement

Function

Examples

Example 1

Constraints

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