Orig Description
Score : 100 points
Problem StatementTakahashi is distributing N balls to K persons.
If each person has to receive at least one ball, what is the maximum possible difference in the number of balls received between the person with the most balls and the person with the fewest balls?
Constraints
1 \leq K \leq N \leq 100
All values in input are integers.
InputInput is given from Standard Input in the following format:
N K
OutputPrint the maximum possible difference in the number of balls received.
Sample Input 13 2
Sample Output 11
The only way to distribute three balls to two persons so that each of them receives at least one ball is to give one ball to one person and give two balls to the other person.
Thus, the maximum possible difference in the number of balls received is 1.
Sample Input 23 1
Sample Output 20
We have no choice but to give three balls to the only person, in which case the difference in the number of balls received is 0.
Sample Input 38 5
Sample Output 33
For example, if we give 1, 4, 1, 1, 1 balls to the five persons, the number of balls received between the person with the most balls and the person with the fewest balls would be 3, which is the maximum result.
Extracted Specification
An integer N (1 ≤ N ≤ 100), representing some quantity or size.
An integer K (1 ≤ K ≤ N), representing another quantity or size.
### Example Input:
```
13 2
```
### Function Signature:
Write a function f(N, K) that takes in the input.
def f(N: int, K: int):
'''
N: an integer
K: an integer
'''
Test Case Generator
Sure, here is a test case generator for the given problem:
```python
import random
def tcgen():
# Generate N and K such that 1 ≤ K ≤ N ≤ 100
N = random.randint(1, 100)
K = random.randint(1, N)
return N, K
# Example usage
if __name__ == "__main__":
test_case = tcgen()
print(test_case)
```
This function will generate random values for \(N\) and \(K\) within the specified constraints. \(N\) is the total number of balls, and \(K\) is the number of persons, ensuring 1 ≤ \(K\) ≤ \(N\) ≤ 100.
Here is a sample output of the test case generator:
```
(75, 25)
```
Explanation:
- \(N = 75\): There are 75 balls to distribute.
- \(K = 25\): There are 25 persons to distribute the balls to.
You can run this function multiple times to generate different test cases for the problem.
Extract Arguments
def extract_arguments(fh):
N, K = map(int, fh.readline().strip().split())
return N, K