From a449abf709839079c3a556db50bcd46828f5a9b4 Mon Sep 17 00:00:00 2001
From: marina <138340846+bt3gl-cryptography@users.noreply.github.com>
Date: Mon, 31 Jul 2023 15:39:08 -0700
Subject: [PATCH] Create bs_rotated_array.py

---
 searching/bs_rotated_array.py | 46 +++++++++++++++++++++++++++++++++++
 1 file changed, 46 insertions(+)
 create mode 100644 searching/bs_rotated_array.py

diff --git a/searching/bs_rotated_array.py b/searching/bs_rotated_array.py
new file mode 100644
index 0000000..bb7f001
--- /dev/null
+++ b/searching/bs_rotated_array.py
@@ -0,0 +1,46 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+# author: bt3gl
+
+
+def search(nums):
+        
+        # 1. find the smallest element in the rotate array
+        # "left" will be used as index later
+        
+        left, right = 0, len(nums)
+        while left < right:
+
+            mid = (left + right) // 2
+            if nums[mid] > nums[-1]:
+                left = mid + 1
+            else:
+                right = mid
+        
+        
+        # 2. write a binary search
+        def bs(left, right, target):
+
+            while left < right:
+
+                mid = (left + right) // 2
+
+                if nums[mid] == target:
+                    return mid
+                
+                elif nums[mid] > target:
+                    right = mid
+                
+                else:
+                    left = mid + 1
+            
+            return -1
+        
+        # 3. run for both sides
+        response = bs(0, left, target) 
+        if response != -1:
+            return response
+        
+        else:
+            return bs(left, len(nums), target)
+