The Josephus Rescue

You KNOW the counting game is rigged — every k-th player is out until one survives. You just don't know where to STAND. 🧠

You get the circle size n (players numbered 1..n, counting starts at player 1) and the count k. Simulate the game and print the number of the surviving position.

Example:

Input: n = 7, k = 3 Output: 4

Counting off by 3 around the circle of 7, eliminating every third player, leaves player 4 standing at the end.