Orig Description
Spaceship UAZ Advance
Stellar calendar 2005.11.5. You are the captain of the UAZ Advance spacecraft and are about to engage in combat with an enemy spacecraft. Fortunately, the enemy spacecraft is still stationary and has not yet noticed us. Also, the coordinates of the enemy's spaceship are already known, and the "Feather Cannon," which emits a powerful straight-line beam, is ready to fire. All that remains is to give the order to fire.
However, there is a problem. An energy barrier installed by the enemy exists in space. The barrier is in the shape of a triangle and reflects the "Feather Cannon" beam. Also, if the beam hits the barrier, the enemy will notice us and escape. If we cannot determine that the beam will hit its target in advance, we cannot issue the firing order.
Therefore, please create a program that inputs the coordinates of the UAZ Advance spacecraft, the enemy, and the barrier in space coordinates (3D coordinates x, y, and z) and outputs "HIT" if the beam hits the enemy while avoiding the barrier, and "MISS" if the beam hits the barrier. If the enemy is inside the barrier, output "MISS."
Note that only those barriers that appear as triangles from the UAZ Advance spacecraft are targeted, and those that appear as flattened lines are not included. Also, the barrier is effective even on the boundary that includes the vertices of the triangle and reflects the beam.
Input
The format of the input data is as follows:
The first line contains the coordinates of the UAZ Advance spacecraft (x, y, z) (integers, separated by a single space).
The second line contains the coordinates of the enemy (x, y, z) (integers, separated by a single space).
The third line contains the coordinates of vertex 1 of the barrier (x, y, z) (integers, separated by a single space).
The fourth line contains the coordinates of vertex 2 of the barrier (x, y, z) (integers, separated by a single space).
The fifth line contains the coordinates of vertex 3 of the barrier (x, y, z) (integers, separated by a single space).
Output
Output either "HIT" or "MISS" on a single line.
Constraints
-100 ≤ x, y, z ≤ 100
The UAZ Advance spacecraft and the enemy will never be in the same position.
Sample Input 1
-10 0 0
10 0 0
0 10 0
0 10 10
0 0 10
Output for the Sample Input 1
HIT
Sample Input 2
-10 6 6
10 6 6
0 10 0
0 10 10
0 0 10
Output for the Sample Input 2
MISS
Extracted Specification
An integer tuple (x, y, z) where -100 ≤ x, y, z ≤ 100, representing some 3D coordinates.
Another integer tuple (x, y, z) where -100 ≤ x, y, z ≤ 100, representing another set of 3D coordinates.
A third integer tuple (x, y, z) where -100 ≤ x, y, z ≤ 100, representing yet another set of 3D coordinates.
A fourth integer tuple (x, y, z) where -100 ≤ x, y, z ≤ 100, representing another set of 3D coordinates.
A fifth integer tuple (x, y, z) where -100 ≤ x, y, z ≤ 100, representing another set of 3D coordinates.
### Example Input:
```
-10 0 0
10 0 0
0 10 0
0 10 10
0 0 10
```
### 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, each containing three integers
'''
Test Case Generator
Creating a test case generator for the problem "Spaceship UAZ Advance" involves generating random coordinates for the spacecraft, enemy, and the vertices of the barrier. Here’s a Python function to generate such test cases:
```python
import random
def generate_coordinate():
return random.randint(-100, 100), random.randint(-100, 100), random.randint(-100, 100)
def tcgen():
# Generate coordinates for the UAZ Advance spacecraft
uaz_advance = generate_coordinate()
# Ensure enemy spacecraft is not in the same position as UAZ Advance
while True:
enemy = generate_coordinate()
if enemy != uaz_advance:
break
# Generate coordinates for the vertices of the barrier
vertex1 = generate_coordinate()
vertex2 = generate_coordinate()
vertex3 = generate_coordinate()
# Construct the input in the required format
input_data = [
f"{uaz_advance[0]} {uaz_advance[1]} {uaz_advance[2]}",
f"{enemy[0]} {enemy[1]} {enemy[2]}",
f"{vertex1[0]} {vertex1[1]} {vertex1[2]}",
f"{vertex2[0]} {vertex2[1]} {vertex2[2]}",
f"{vertex3[0]} {vertex3[1]} {vertex3[2]}"
]
return '\n'.join(input_data)
# Example usage:
print(tcgen())
```
This function works as follows:
1. It generates random coordinates within the specified range (-100 to 100) for the UAZ Advance spacecraft, enemy, and the vertices of the barrier.
2. It ensures that the enemy spacecraft is not in the same position as the UAZ Advance spacecraft by using a `while` loop.
3. It formats each set of coordinates as a string and joins them into the final input format required by the problem statement.
You can run this function to generate random test cases for the problem. Each call to `tcgen()` will produce a new set of coordinates for the spacecraft, enemy, and barrier vertices.
Extract Arguments
def extract_arguments(fh):
spaceship_coords = tuple(map(int, fh.readline().strip().split()))
enemy_coords = tuple(map(int, fh.readline().strip().split()))
barrier_vertex1 = tuple(map(int, fh.readline().strip().split()))
barrier_vertex2 = tuple(map(int, fh.readline().strip().split()))
barrier_vertex3 = tuple(map(int, fh.readline().strip().split()))
return spaceship_coords, enemy_coords, barrier_vertex1, barrier_vertex2, barrier_vertex3