Josephus Problem Solution with Recursion on LeetCode

Find the winner of the circular game - Recursion is just solving a smaller version of the same problem: I recently tackled the Josephus Problem on LeetCode. It’s a classic challenge that perfectly illustrates the power of recursive thinking. The Problem: n people stand in a circle. Every k-th person is eliminated until only one survivor remains. The goal is to find that survivor’s position. The Recursive Logic: Instead of simulating the entire elimination process, we ask: "If I know the survivor's position for n-1 people, can I find it for n?" Base Case: With 1 person, the survivor is at index 0. The Shift: Once the first person is removed, the problem resets with n-1 people. We just shift that result by k and use % n to wrap around the circle. It’s a great reminder of how modular arithmetic and recursion can turn a complex circular puzzle into a single, elegant line of code: return (solve(n-1, k) + k) % n #Python #Algorithms #Recursion #LeetCode #ProblemSolving

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