Orig Description
Long and Narrow
Takahashi and Ringo-chan decided to go sightseeing in New York. Takahashi had no particular place he wanted to visit, but due to Ringo-chan's enthusiastic invitation, they decided to visit the "long and narrow" place shown on the map below.
Google Map -(C)2012 Google
The "long and narrow" place is very long and can be considered as a straight line. There are several tourist carriages running from the starting point to the goal point on this "long and narrow" place. These carriages are operated according to the following rules.
There are n carriages, and all carriages depart from the starting point and move towards the goal point.
For all cases below, carriage size can be ignored.
Since it is difficult to change speed along the way, all carriages move at a constant speed of Si (an integer of 1 or more) minutes per 1 km.
Carriages have a predetermined departure order, which must be followed. However, there is no particular rule regarding the order in which carriages arrive at the goal point.
Multiple carriages cannot depart from the starting point at the same time, and there must be at least 1 minute between the departure of one carriage and the next carriage.
The goal point is large enough that it doesn't matter how many carriages arrive at the same time. Also, carriages that arrive at the goal point
Extracted Specification
Canonicalized Input Description:
An integer N (1 ≤ N ≤ 100), representing some quantity or size.
A list of N integers S, where each integer (1 ≤ S[i] ≤ 1000) represents some measurement or value.
### Example Input:
```
3
5 10 15
```
### Function Signature:
Write a function f(N, S) that takes in the input.
def f(N: int, S: List[int]):
'''
N: an integer
S: a list of integers
'''
Test Case Generator
Certainly! Below is the test case generator for the provided problem statement "Long and Narrow":
```python
import random
def tcgen():
# Number of carriages (between 1 and 10^3, inclusive)
n = random.randint(1, 1000)
# Speeds of the carriages (each between 1 and 10^3, inclusive)
speeds = [random.randint(1, 1000) for _ in range(n)]
return n, speeds
# Example of generating a test case
n, speeds = tcgen()
print(n)
print(" ".join(map(str, speeds)))
```
### Explanation:
1. **Number of Carriages (`n`)**: The number of carriages is randomly chosen between 1 and 1000, inclusive.
2. **Speeds of Carriages (`speeds`)**: Each carriage's speed is randomly chosen between 1 and 1000, inclusive. This is stored in a list of size `n`.
### Example Output:
Here is an example output when you run the test case generator:
```
5
421 526 124 965 879
```
This represents:
- `n = 5` (Number of carriages)
- `speeds = [421, 526, 124, 965, 879]` (Speeds of the carriages)
You can use this generator to produce multiple test cases for the problem "Long and Narrow".
Extract Arguments
def extract_arguments(fh):
n = int(fh.readline().strip())
S = list(map(int, fh.readline().strip().split()))
return n, S