Orig Description
Problem G: Defend the Bases
A country Gizevom is being under a sneak and fierce attack by their foe. They have to deploy one or
more troops to every base immediately in order to defend their country. Otherwise their foe would take
all the bases and declare "All your base are belong to us."
You are asked to write a program that calculates the minimum time required for deployment, given the
present positions and marching speeds of troops and the positions of the bases.
Input
The input consists of multiple datasets. Each dataset has the following format:
N M
x1 y1 v1
x2 y2 v2
...
xN yN vN
x'1 y'1
x'2 y'2
...
x'M y'M
N is the number of troops (1 ≤ N ≤ 100); M is the number of bases (1 ≤ M ≤ 100); (xi, yi ) denotes the present position of i-th troop; vi is the speed of the i-th troop (1 ≤ vi ≤ 100); (x'j, y'j) is the position of the j-th base.
All the coordinates are integers between 0 and 10000 inclusive.
The last dataset is followed by a line containing two zeros. This line is not a part of any dataset and should not be processed.
Output
For each dataset, print the minimum required time in a line.
Sample Input
2 2
10 20 1
0 10 1
0 10
10 0
0 0
Output for the Sample Input
14.14213562
Extracted Specification
An integer N (1 ≤ N ≤ 100), representing some quantity or size.
An integer M (1 ≤ M ≤ 100), representing some quantity or size.
N tuples, each containing three integers (0 ≤ xi, yi ≤ 10000; 1 ≤ vi ≤ 100), representing coordinates and a speed.
M tuples, each containing two integers (0 ≤ x'j, y'j ≤ 10000), representing coordinates.
### Example Input:
```
2 2
10 20 1
0 10 1
0 10
10 0
0 0
```
### Function Signature:
Write a function f(inputs) that takes in the list of tuples as input.
```python
from typing import List, Tuple
def f(inputs: List[Tuple[int, List[Tuple[int, int, int]], List[Tuple[int, int]]]]):
'''
inputs: a list of tuples, where each tuple contains:
- an integer N
- a list of N tuples each containing three integers
- a list of M tuples each containing two integers
'''
```
Test Case Generator
Sure, let's write a test case generator for the problem "Defend the Bases." The generator will create random test cases based on the given constraints. Here is the Python code for the test case generator:
```python
import random
def tcgen():
datasets = []
while True:
N = random.randint(1, 100) # Number of troops
M = random.randint(1, 100) # Number of bases
troops = []
for _ in range(N):
x = random.randint(0, 10000) # x-coordinate of troop
y = random.randint(0, 10000) # y-coordinate of troop
v = random.randint(1, 100) # speed of troop
troops.append((x, y, v))
bases = []
for _ in range(M):
x = random.randint(0, 10000) # x-coordinate of base
y = random.randint(0, 10000) # y-coordinate of base
bases.append((x, y))
datasets.append((N, M, troops, bases))
# Randomly decide whether to stop or add another dataset
if random.choice([True, False]):
break
return datasets
# Generate a test case and format it as expected
def format_datasets(datasets):
formatted_data = ""
for dataset in datasets:
N, M, troops, bases = dataset
formatted_data += f"{N} {M}\n"
for troop in troops:
formatted_data += f"{troop[0]} {troop[1]} {troop[2]}\n"
for base in bases:
formatted_data += f"{base[0]} {base[1]}\n"
formatted_data += "0 0\n"
return formatted_data
# Example usage
datasets = tcgen()
print(format_datasets(datasets))
```
This script generates test cases for the "Defend the Bases" problem. It randomly decides the number of troops and bases within the specified constraints, assigns random coordinates and speeds to troops, and random coordinates to bases. The generated datasets are formatted as strings in the required input format.
You can run the `tcgen` function to generate a list of datasets and then format them using the `format_datasets` function to get the input in the form suitable for testing. The `print` statement at the end shows how to use these functions to generate and print a test case.
Extract Arguments
def extract_arguments(fh):
datasets = []
while True:
first_line = fh.readline().strip()
if first_line == "0 0":
break
N, M = map(int, first_line.split())
troops = []
for _ in range(N):
x, y, v = map(int, fh.readline().strip().split())
troops.append((x, y, v))
bases = []
for _ in range(M):
x, y = map(int, fh.readline().strip().split())
bases.append((x, y))
datasets.append((N, M, troops, bases))
return datasets