diff --git a/Maths/FindMaxRecursion.java b/Maths/FindMaxRecursion.java new file mode 100644 index 00000000..3ebcaf39 --- /dev/null +++ b/Maths/FindMaxRecursion.java @@ -0,0 +1,32 @@ +package Maths; + +public class FindMaxRecursion { + public static void main(String[] args) { + int[] array = {2, 4, 9, 7, 19, 94, 5}; + int low = 0; + int high = array.length - 1; + + System.out.println("max value is " + max(array, low, high)); + } + + /** + * Get max of array using divide and conquer algorithm + * + * @param array contains elements + * @param low the index of the first element + * @param high the index of the last element + * @return max of {@code array} + */ + public static int max(int[] array, int low, int high) { + if (low == high) { + return array[low]; //or array[high] + } + + int mid = (low + high) >>> 1; + + int leftMax = max(array, low, mid); //get max in [low, mid] + int rightMax = max(array, mid + 1, high); //get max in [mid+1, high] + + return leftMax >= rightMax ? leftMax : rightMax; + } +} diff --git a/Maths/FindMinRecursion.java b/Maths/FindMinRecursion.java new file mode 100644 index 00000000..292ffc30 --- /dev/null +++ b/Maths/FindMinRecursion.java @@ -0,0 +1,32 @@ +package Maths; + +public class FindMinRecursion { + public static void main(String[] args) { + int[] array = {2, 4, 9, 7, 19, 94, 5}; + int low = 0; + int high = array.length - 1; + + System.out.println("min value is " + min(array, low, high)); + } + + /** + * Get min of array using divide and conquer algorithm + * + * @param array contains elements + * @param low the index of the first element + * @param high the index of the last element + * @return min of {@code array} + */ + public static int min(int[] array, int low, int high) { + if (low == high) { + return array[low]; //or array[high] + } + + int mid = (low + high) >>> 1; + + int leftMin = min(array, low, mid); //get min in [low, mid] + int rightMin = min(array, mid + 1, high); //get min in [mid+1, high] + + return leftMin <= rightMin ? leftMin : rightMin; + } +}