The Chase: A Programming Story

Here's an exciting chase narrative based on your Java program:

The Great Police Chase

In the dark streets of Binary City, a notorious thief is fleeing with stolen data drives. Starting 40 meters ahead, the thief runs at 2 m/s, while a determined police officer gives chase at 5 m/s.

The Pursuit Dynamics 

public class Judge {
    public static void main(String[] args) {
        int police = 0;    // Police starts at position 0
        int thief = 40;    // Thief has 40m head start
        int time = 0;      // Time counter (seconds)

        System.out.println("🚨 CHASE BEGINS! 🚨");
        System.out.println("Thief's lead: " + (thief - police) + "m");

        while (police < thief) {
            time++;
            police += 5;   // Police gains 5m each second
            thief += 2;    // Thief gains 2m each second

            System.out.println(
                "After " + time + "s: " + 
                "Police at " + police + "m, " +
                "Thief at " + thief + "m, " +
                "Distance: " + (thief - police) + "m"
            );
        }

        System.out.println("🏁 CAUGHT AFTER " + time + " SECONDS!");
    }
}

Key Mathematical Insights

  1. Relative Speed: Police gains 3 m/s (5 m/s - 2 m/s)
  2. Closure Time: 40m gap / 3m per second ≈ 13.33 seconds
  3. Exact Capture Moment:
    • At 13 seconds: Police=65m, Thief=66m (still 1m ahead)
    • At 14 seconds: Police=70m, Thief=68m (overtakes!)

Sample Output 

🚨 CHASE BEGINS! 🚨
Thief's lead: 40m
After 1s: Police at 5m, Thief at 42m, Distance: 37m
After 2s: Police at 10m, Thief at 44m, Distance: 34m
...
After 13s: Police at 65m, Thief at 66m, Distance: 1m
After 14s: Police at 70m, Thief at 68m, Distance: -2m
🏁 CAUGHT AFTER 14 SECONDS!

Real-World Analogies

  • Project deadlines (work rate vs. remaining work)
  • Financial goals (savings growth vs. inflation)
  • Sports training (improvement rate vs. performance targets)

Fun Twist: If we modify speeds to police += 4, the thief would escape forever as the gap grows by 2m each second!

Would you like me to add obstacles or fuel limits to make it more realistic? 🚓💨