Problem Description
In a fictional game, there are enemy characters and player characters. The enemy character starts from the (x, y) coordinate and needs to approach the player character. The enemy character must find the optimal path to move closest to the player’s position every turn. To solve this problem, we need to calculate the optimal path for the enemy to approach the player.
Problem Definition
The following inputs are provided:
- Enemy’s initial position (X1, Y1)
- Player’s position (X2, Y2)
The output should return the optimal path for the enemy to reach the player (including all intermediate coordinates).
Input Example
0 0
3 4
Output Example
(0,0) → (1,1) → (2,2) → (3,3) → (3,4)
Solution Strategy
This problem involves basic distance calculation and path tracking. We need to update the enemy’s position each turn and calculate the next position to approach the player. To do this, we use the Euclidean distance formula to calculate the distance and direction between two points, finding the optimal path the enemy can take each turn.
1. Distance Calculation
dist(X1, Y1, X2, Y2) = sqrt((X2 - X1)² + (Y2 - Y1)²)
2. Movement Logic Implementation
By allowing the enemy to approach the player each turn, we adjust the X and Y coordinates.
3. Path Storage
We store the coordinates after each move in a list to finally output the path.
C# Implementation Example
using System;
using System.Collections.Generic;
class Program
{
static void Main(string[] args)
{
// Enemy's initial position
var enemyPosition = (X: 0, Y: 0);
// Player's position
var playerPosition = (X: 3, Y: 4);
var path = new List<(int, int)>();
while (enemyPosition != playerPosition)
{
path.Add(enemyPosition);
enemyPosition = MoveTowardsPlayer(enemyPosition, playerPosition);
}
path.Add(playerPosition);
Console.WriteLine("Path taken:");
foreach (var pos in path)
Console.WriteLine($"({pos.Item1}, {pos.Item2})");
}
static (int, int) MoveTowardsPlayer((int X, int Y) enemy, (int X, int Y) player)
{
int newX = enemy.X + (player.X > enemy.X ? 1 : (player.X < enemy.X ? -1 : 0));
int newY = enemy.Y + (player.Y > enemy.Y ? 1 : (player.Y < enemy.Y ? -1 : 0));
return (newX, newY);
}
}
Conclusion
This problem helps us understand pathfinding and interactions between objects in game development. Solving coding test problems using C# will be beneficial for future real game development projects. We can see that we can calculate the optimal movement path for the enemy to reach the player based on the given positions.