Orig Description
D: Scanner
Problem Statement
You have $N$ pieces of paper to scan. You want to scan them all by using $3$ scanners in parallel.
Each piece of paper takes a certain amount of time to scan, and the time it takes to scan the $i$-th piece of paper is $T_i$.
The order in which you scan the papers is arbitrary, but you cannot scan multiple papers at the same time with one scanner.
Determine the minimum amount of time it takes for all the papers to be scanned and for all the scanners to stop scanning.
Input
$N$
$T_1$
$T_2$
$T_3$
$\vdots$
$T_N$
Constraints
$1 \leq N \leq 50$
$1 \leq T_i \leq 50$
All input values are integers.
Output
Print the minimum amount of time it takes for all the papers to be scanned and for all the scanners to stop scanning.
Sample Input #1
4
1
1
1
1
Sample Output #1
2
Sample Input #2
9
15
20
27
4
10
7
34
30
36
Sample Output #2
61
Sample Input #3
6
20
18
46
16
9
48
Sample Output #3
55
Extracted Specification
An integer N (1 ≤ N ≤ 50), representing some quantity or size.
A list of N integers, where each integer is between 1 and 50.
### Example Input:
```
4
1
1
1
1
```
### Function Signature:
Write a function f(N, A) that takes in the input.
def f(N: int, A: List[int]):
'''
N: an integer
A: a list of integers
'''
Test Case Generator
Sure! Here's a test case generator for the "D: Scanner" problem:
```python
import random
def tcgen():
N = random.randint(1, 50) # Number of pieces of paper
T = [random.randint(1, 50) for _ in range(N)] # Time to scan each piece of paper
return N, T
# Example of how to use the test case generator
if __name__ == "__main__":
N, T = tcgen()
print(N)
for t in T:
print(t)
```
This test case generator creates random test cases for the given problem. It generates a random number of papers \(N\) (between 1 and 50), and for each paper, it generates a random scan time \(T_i\) (between 1 and 50). Here is an example of how the generated test cases might look:
```plaintext
4
1
1
1
1
```
And another example:
```plaintext
9
15
20
27
4
10
7
34
30
36
```
This generator ensures that the constraints of the problem are adhered to and produces a variety of test cases to thoroughly test the solution.
Extract Arguments
def extract_arguments(fh):
N = int(fh.readline().strip())
T = [int(fh.readline().strip()) for _ in range(N)]
return N, T