mirror of
https://github.com/prdlk/leetcode.git
synced 2026-11-02 13:12:44 +00:00
72 lines
1.7 KiB
Plaintext
72 lines
1.7 KiB
Plaintext
---
|
|
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
|
|
icon: dot
|
|
topics:
|
|
- { name: "Array", slug: "array" }
|
|
- { name: "Binary Search", slug: "binary-search" }
|
|
video: "K-RYzDZkzCI"
|
|
issue: "https://github.com/prdlk/leetcode/issues/63"
|
|
sidebar:
|
|
label: 'Search Insert Position'
|
|
badge: 'Easy'
|
|
---
|
|
|
|
::::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`
|
|
|
|
## Approach
|
|
|
|
```mermaid
|
|
flowchart TD
|
|
S(["searchInsert(nums, target)"]) --> I["l = 0, r = n - 1"]
|
|
I --> W{"l <= r?"}
|
|
W -- yes --> M["m = (l + r) // 2"]
|
|
M --> Q{"nums[m] vs target"}
|
|
Q -- equal --> R(["return m"])
|
|
Q -- "nums[m] < target" --> L["l = m + 1"]
|
|
L --> W
|
|
Q -- "nums[m] > target" --> H["r = m - 1"]
|
|
H --> W
|
|
W -- no --> E(["return (l + r) // 2 + 1 — the insert slot"])
|
|
```
|
|
|
|
## 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
|
|
```
|