Added algorithm for Josephus problem

algorithms/CPlusPlus/README.md

@@ -201,6 +201,7 @@
 - [Product of digits in a number](Recursion\product-of-digits.cpp)
 - [Linear search using recursion](Recursion/linear-search.cpp)
 - [Reverse a number using recursion](Recursion/reverse-a-number.cpp)
+- [Josephus problem](Recursion/josephus-problem.cpp)
 
 ## Number System
 

algorithms/CPlusPlus/Recursion/josephus-problem.cpp

@@ -0,0 +1,19 @@
+#include <bits/stdc++.h>
+using namespace std;
+
+int josephus(int n, int k) {
+    if(n == 1)
+        return 1;
+    return (josephus(n - 1, k) + k - 1) % n + 1;
+}
+
+int main() {
+    int n, k;
+    cin >> n >> k;
+    cout << josephus(n, k);
+}
+
+// Space Complexity: O(n)
+// Time Complexity: O(n)
+// Input: 3 2
+// Output: 3