Orig Description
Sum of Decimal Digits
Let a, b, and n be positive integers. Let f(i) be the i-th digit (0 ≤ f(i) ≤ 9) of the decimal expansion of the fraction a / b. Define the sum s as the sum of the first n digits:
s = f(1) + f(2) + ... + f(n)
Write a program that reads a, b, and n, and outputs s.
Input
The input consists of multiple datasets. Each dataset consists of three integers a (1 ≤ a ≤ 1000), b (1 ≤ b ≤ 10000), and n (1 ≤ n ≤ 100), separated by a single space, on a line.
There are no more than 100 datasets.
Output
For each dataset, output s on a line.
Sample Input
1 2 3
2 3 4
5 4 3
4 3 2
Output for the Sample Input
5
24
7
6
Extracted Specification
An integer a (1 ≤ a ≤ 1000).
An integer b (1 ≤ b ≤ 10000).
An integer n (1 ≤ n ≤ 100).
### Example Input:
```
1 2 3
2 3 4
5 4 3
4 3 2
```
### Function Signature:
Write a function f(inputs) that takes in the input.
def f(inputs: List[Tuple[int, int, int]]):
'''
inputs: a list of tuples, where each tuple contains three integers
'''
Test Case Generator
Certainly! Below is a test case generator for the "Sum of Decimal Digits" problem statement.
```python
import random
def tcgen():
datasets = []
num_datasets = random.randint(1, 100)
for _ in range(num_datasets):
a = random.randint(1, 1000)
b = random.randint(1, 10000)
n = random.randint(1, 100)
datasets.append((a, b, n))
return datasets
# Example usage:
random.seed(0) # Optional: for reproducibility
test_datasets = tcgen()
for dataset in test_datasets:
print(f"{dataset[0]} {dataset[1]} {dataset[2]}")
```
This generator creates a random number of datasets (between 1 and 100). For each dataset, it generates three integers \(a\), \(b\), and \(n\) within the specified ranges. Each dataset is stored as a tuple in the list `datasets`. Finally, the generator returns the list of datasets.
You can use the example usage provided to print the generated test cases. Note that the `random.seed(0)` line is optional and can be used to ensure reproducibility of the generated test cases for debugging or testing purposes.
Extract Arguments
def extract_arguments(fh):
inputs = []
for line in fh:
a, b, n = map(int, line.strip().split())
inputs.append((a, b, n))
return inputs