docs(docs): add MDX documentation for problems 153 and 35

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Prad Nukala
2026-08-26 15:51:01 -04:00
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---
title: '153. Find Minimum in Rotated Sorted Array'
description: 'Suppose an array of length n sorted in ascending order is rotated between 1 and n times. For example, the array nums = [0,1,2,4,5,6,7] might become:'
sidebar:
label: 'Find Minimum in Rotated Sorted Array'
badge: 'Medium'
---
<Badge variant="accent">Binary Search</Badge>
::::warning
Notice that rotating an array [a[0], a[1], a[2], ..., a[n-1]] 1 time results in the array [a[n-1], a[0], a[1], a[2], ..., a[n-2]].
::::
### Example 1:
- Input: `nums = [3,4,5,1,2]`
- Output: `1`
- Explanation: The original array was `[1,2,3,4,5]` rotated `3` times.
### Example 2:
- Input: `nums = [4,5,6,7,0,1,2]`
- Output: `0`
- Explanation: The original array was `[0,1,2,4,5,6,7]` and it was rotated `4` times.
### Example 3:
- Input: `nums = [11,13,15,17]`
- Output: `11`
- Explanation: The original array was `[11,13,15,17]` and it was rotated `4` times.
### 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
```py
class Solution:
def findMin(self, nums: List[int]) -> int:
l, r = 0, len(nums) - 1
lowest_index = -1
while l <= r:
m = (l + r) // 2
if nums[m] <= nums[-1]:
lowest_index = m
r = m - 1
else:
l = m + 1
return nums[lowest_index]
```
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---
title: '35. Search Insert Position'
description: Given a sorted array of distinct integers and a target value, return the index if the target is found. If not, return the index where it would be if it were inserted in order
sidebar:
label: 'Search Insert Position'
badge: 'Easy'
---
<Badge variant="accent">Binary Search</Badge>
::::warning
You must write an algorithm with O(log n) runtime complexity.
::::
### Example 1:
- Input: `nums = [1,3,5,6], target = 5`
- Output: `2`
### Example 2:
- Input: `nums = [1,3,5,6], target = 2`
- Output: `1`
### Example 3:
- Input: `nums = [1,3,5,6], target = 7`
- Output: `4`
### Constraints:
- `1 <= nums.length <= 10^4`
- `-10^4 <= nums[i] <= 10^4`
- `nums` contains distinct values sorted in ascending order.
- `-10^4 <= target <= 10^4`
## Solution
```py
class Solution:
def searchInsert(self, nums: List[int], target: int) -> int:
l, r = 0, len(nums) - 1
while l <= r:
m = (l + r) // 2
if nums[m] == target:
return m
elif nums[m] < target:
l = m + 1
elif nums[m] > target:
r = m - 1
return (l + r) // 2 + 1
```