Understanding Recursive and Iterative Factorials through Tracing
This content provides an in-depth exploration of recursive and iterative factorial functions through tracing examples. The explanations are accompanied by visual aids to help conceptualize the iterative and recursive processes of calculating factorials. By comparing the two methods side by side, readers can grasp the differences and similarities between iterative and recursive approaches to factorial calculations.
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Iterative Factorial public static int iterativeFactorial(int n) { int result = 1; for (int i = 2; i <= n; i++) { result *= i; } return result; } result = 1 ( * 2) = 2 ( * 3) = 6 ( * 4) = 24 i = 2 3 4
Recursive Factorial 4 public static int recursiveFactorial(int n) { if (n == 1) { return 1; } else { return n * recursiveFactorial(n 1); } } } } } } } } 3 public static int recursiveFactorial(int n) { if (n == 1) { return 1; } else { return n * recursiveFactorial(n 1); 3 } else { return n * recursiveFactorial(n 1); 2 } else { return n * recursiveFactorial(n 1); 2 public static int recursiveFactorial(int n) { if (n == 1) { return 1; if (n == 1) { return 1; 1 4 4-1 public static int recursiveFactorial(int n) { 3 - 1 2-1
Recursive Factorial 4 public static int recursiveFactorial(int n) { if (n == 1) { return 1; } else { return n * recursiveFactorial(n 1); } } } } } } } } 3 public static int recursiveFactorial(int n) { if (n == 1) { return 1; } else { return n * recursiveFactorial(n 1); 3 } else { return n * recursiveFactorial(n 1); 2 } else { return n * recursiveFactorial(n 1); 2 public static int recursiveFactorial(int n) { if (n == 1) { return 1; if (n == 1) { return 1; 1 4 4-1 public static int recursiveFactorial(int n) { 3 - 1 2-1 Base Case!
Recursive Factorial 4 public static int recursiveFactorial(int n) { if (n == 1) { return 1; } else { return n * recursiveFactorial(n 1); } } } } } } } } 3 public static int recursiveFactorial(int n) { if (n == 1) { return 1; } else { return n * recursiveFactorial(n 1); 3 } else { return n * recursiveFactorial(n 1); 2 return n * recursiveFactorial(n 1); 2 public static int recursiveFactorial(int n) { if (n == 1) { return 1; if (n == 1) { return 1; } else { = 24 1 public static int recursiveFactorial(int n) { 4 6 2 1
