Create MetaBinarySearch.java

src/main/java/com/thealgorithms/searches/MetaBinarySearch.java

@@ -0,0 +1,38 @@
+package com.thealgorithms.searches;
+
+public class MetaBinarySearch {
+
+    /**
+     * Perform Meta Binary Search on a sorted array.
+     *
+     * @param arr The sorted array to search.
+     * @param target The target element to search for.
+     * @return The index of the target element if found, -1 otherwise.
+     */
+    public int metaBinarySearch(int[] arr, int target) {
+        int n = arr.length;
+        int left = 0;
+        int right = n - 1;
+
+        // Calculate the number of bits required for the maximum index
+        int maxBits = (int) Math.ceil(Math.log(n) / Math.log(2));
+
+        // Iterate over the bit length
+        for (int i = maxBits - 1; i >= 0; i--) {
+            int mid = left + (1 << i);
+
+            // Check if mid index is within bounds
+            if (mid < n && arr[mid] <= target) {
+                left = mid; // move to the right half if condition is true
+            }
+        }
+
+        // Check if we have found the target
+        if (left < n && arr[left] == target) {
+            return left;
+        }
+
+        // If target not found
+        return -1;
+    }
+}