Implemented Exponential Search with binary search for improved perfor…

searches/Exponential_Search.py

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+# Python program to perform Exponential Search
+from bisect import bisect_left
+
+# Binary search function
+def binary_search(arr, left, right, target):
+    while left <= right:
+        mid = left + (right - left) // 2
+        if arr[mid] == target:
+            return mid
+        elif arr[mid] < target:
+            left = mid + 1
+        else:
+            right = mid - 1
+    return -1
+
+# Exponential search function
+def exponential_search(arr, target):
+    n = len(arr)
+
+    # If the target is at the first position
+    if arr[0] == target:
+        return 0
+
+    # Find the range for binary search by repeatedly doubling the index
+    i = 1
+    while i < n and arr[i] <= target:
+        i *= 2
+
+    # Perform binary search within the found range
+    return binary_search(arr, i // 2, min(i, n - 1), target)
+
+# Example usage
+if __name__ == "__main__":
+    arr = [2, 3, 4, 10, 40, 50, 60, 70, 80, 90, 100]
+    target = 10
+
+    result = exponential_search(arr, target)
+
+    if result != -1:
+        print(f"Element found at index {result}")
+    else:
+        print("Element not found in the array")