1823 Find the Winner of the Circular Game Math Trick

1823 Find the Winner of the Circular Game. This Java code determines the winner of a game played by n people standing in a circle, where every k-th person is eliminated until only one person remains. The method uses a mathematical approach to find the winner's position.
explanation:
1. Initialization: The variable winner is initialized to 0.
2. Loop through players: A loop runs from 1 to n (inclusive), updating the winner variable using the formula (winner + k) % i. This formula helps in determining the position of the winner in each step.
3. Return the result: After the loop completes, the method returns winner + 1 to adjust for 1-based indexing (since array indices in Java are 0-based but the problem likely expects a 1-based result). In essence, the code calculates the position of the last remaining person in a circle after repeatedly eliminating every k-th person.