✨ (Solution): Problem 153. Find Minimum in Rotated Sorted Array

solutions/153. Find Minimum in Rotated Sorted Array/README.md

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+---
+comments: true
+difficulty: medium
+# Follow `Topics` tags
+tags:
+    - Array
+    - Binary Search
+---
+
+# [153. Find Minimum in Rotated Sorted Array](https://leetcode.com/problems/find-minimum-in-rotated-sorted-array/description/)
+
+## Description
+
+You are given an array `nums` of length **n** that was originally sorted in ascending order but then rotated between 1 and **n** times. For example:
+
+* `[0,1,2,4,5,6,7]` rotated 4 times becomes `[4,5,6,7,0,1,2]`.
+* `[0,1,2,4,5,6,7]` rotated 7 times remains `[0,1,2,4,5,6,7]`.
+
+A single rotation moves the last element to the front:
+`[a[0], a[1], …, a[n-1]]` → `[a[n-1], a[0], a[1], …, a[n-2]]`.
+
+Given such a rotated, sorted array of unique elements, return the **minimum element**.
+
+The solution must run in **O(log n)** time complexity.
+
+**Example 1:**
+```
+Input: nums = [10, 11 ,12 8, 9]
+Output: 8
+```
+
+**Example 2:**
+```
+Input: nums = [4, 0, 1, 2, 3]
+Output: 0
+```
+
+**Constraints:**
+
+* `n == nums.length`
+* `1 <= n <= 5000`
+* `-5000 <= nums[i] <= 5000`
+* All the integers of `nums` are unique.
+* `nums` is sorted and rotated between `1` and `n` times.
+
+## Solution
+
+
+```java
+class Solution {
+    public int findMin(int[] nums) {
+        int left = 0, right = nums.length - 1;
+        while(left < right){
+            int mid = left + (right - left) / 2;
+            if(nums[mid] > nums[right]){
+                left = mid + 1;
+            }
+            else{
+                right = mid;
+            }
+        }
+        return nums[left];
+    }
+}
+```
+
+```python
+class Solution:
+    def findMin(self, nums: list[int]) -> int:
+        left, right = 0, len(nums) - 1
+        while left < right:
+            mid = left + (right - left) // 2
+            if nums[mid] > nums[right]:
+                left = mid + 1
+            else:
+                right = mid
+        return nums[left]
+```
+
+## Complexity
+
+- Time complexity: $$O(logn)$$
+<!-- Add time complexity here, e.g. $$O(n)$$ -->
+
+- Space complexity: $$O(1)$$
+<!-- Add space complexity here, e.g. $$O(n)$$ -->
+

solutions/153. Find Minimum in Rotated Sorted Array/Solution.java

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+class Solution {
+    public int findMin(int[] nums) {
+        int left = 0, right = nums.length - 1;
+        while(left < right){
+            int mid = left + (right - left) / 2;
+            if(nums[mid] > nums[right]){
+                left = mid + 1;
+            }
+            else{
+                right = mid;
+            }
+        }
+        return nums[left];
+    }
+}

solutions/153. Find Minimum in Rotated Sorted Array/Solution.py

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+class Solution:
+    def findMin(self, nums: list[int]) -> int:
+        left, right = 0, len(nums) - 1
+        while left < right:
+            mid = left + (right - left) // 2
+            if nums[mid] > nums[right]:
+                left = mid + 1
+            else:
+                right = mid
+        return nums[left]