jump_search.py

Python/searching/jump_search.py

@@ -0,0 +1,37 @@
+import math
+
+def jump_search(arr, target):
+    """
+    Perform jump search to find the target value in the given sorted list.
+
+    Parameters:
+        arr (list): The sorted list to be searched.
+        target: The value to be searched for.
+
+    Returns:
+        int: The index of the target value if found, otherwise -1.
+    """
+    n = len(arr)
+    step = int(math.sqrt(n))
+    prev = 0
+    while arr[min(step, n) - 1] < target:
+        prev = step
+        step += int(math.sqrt(n))
+        if prev >= n:
+            return -1
+    while arr[prev] < target:
+        prev += 1
+        if prev == min(step, n):
+            return -1
+    if arr[prev] == target:
+        return prev
+    return -1
+
+# Example usage:
+arr = [2, 3, 4, 10, 40]
+target = 10
+result = jump_search(sorted(arr), target)
+if result != -1:
+    print(f"Jump Search: Element found at index {result}")
+else:
+    print("Jump Search: Element not found")