2134. Minimum Swaps to Group All 1's Together II
Medium
A swap is defined as taking two distinct positions in an array and swapping the values in them.
A circular array is defined as an array where we consider the first element and the last element to be adjacent.
Given a binary circular array nums, return the minimum number of swaps required to group all 1's present in the array together at any location.
Example 1:
- Input: nums = [0,1,0,1,1,0,0]
- Output: 1
-
Explanation: Here are a few of the ways to group all the 1's together:
- [0,0,1,1,1,0,0] using 1 swap.
- [0,1,1,1,0,0,0] using 1 swap.
- [1,1,0,0,0,0,1] using 2 swaps (using the circular property of the array).
- There is no way to group all 1's together with 0 swaps.
- Thus, the minimum number of swaps required is 1.
Example 2:
- Input: nums = [0,1,1,1,0,0,1,1,0]
- Output: 2
-
Explanation: Here are a few of the ways to group all the 1's together:
- [1,1,1,0,0,0,0,1,1] using 2 swaps (using the circular property of the array).
- [1,1,1,1,1,0,0,0,0] using 2 swaps.
- There is no way to group all 1's together with 0 or 1 swaps.
- Thus, the minimum number of swaps required is 2.
Example 3:
- Input: nums = [1,1,0,0,1]
- Output: 0
-
Explanation: All the 1's are already grouped together due to the circular property of the array.
- Thus, the minimum number of swaps required is 0.
Constraints:
- 1 5
- nums[i] is either 0 or 1.
Hint:
- Notice that the number of 1’s to be grouped together is fixed. It is the number of 1's the whole array has.
- Call this number total. We should then check for every subarray of size total (possibly wrapped around), how many swaps are required to have the subarray be all 1’s.
- The number of swaps required is the number of 0’s in the subarray.
- To eliminate the circular property of the array, we can append the original array to itself. Then, we check each subarray of length total.
- How do we avoid recounting the number of 0’s in the subarray each time? The Sliding Window technique can help.
Solution:
To solve this problem, we can follow these steps:
- Count the Total Number of 1s: This will be the number of 1s we need to group together.
- Extend the Array: To handle the circular nature, append the array to itself.
- Use Sliding Window Technique: Apply the sliding window technique on the extended array to find the minimum number of swaps required.
Let's implement this solution in PHP: 2134. Minimum Swaps to Group All 1's Together II
<?php // Example usage $nums1 = [0,1,0,1,1,0,0]; $nums2 = [0,1,1,1,0,0,1,1,0]; $nums3 = [1,1,0,0,1]; echo minSwaps($nums1) . "\n"; // Output: 1 echo minSwaps($nums2) . "\n"; // Output: 2 echo minSwaps($nums3) . "\n"; // Output: 0 ?>
Explanation:
- Count the Total Number of 1s: Calculate the total number of 1s in the original array.
- Extend the Array: Concatenate the original array to itself to handle the circular nature.
- Initial Window: Count the number of 0s in the initial window of size equal to the total number of 1s.
- Sliding Window: Slide the window across the extended array. For each new position, update the count of 0s based on the elements entering and leaving the window.
- Find Minimum: Keep track of the minimum number of 0s encountered, which corresponds to the minimum number of swaps needed.
This solution efficiently handles the circular array by transforming it into a linear problem and uses the sliding window technique to maintain a running count of 0s in each window of size equal to the total number of 1s.
Contact Links
If you found this series helpful, please consider giving the repository a star on GitHub or sharing the post on your favorite social networks ?. Your support would mean a lot to me!
If you want more helpful content like this, feel free to follow me:
- GitHub
The above is the detailed content of inimum Swaps to Group All s Together II. For more information, please follow other related articles on the PHP Chinese website!

What’s still popular is the ease of use, flexibility and a strong ecosystem. 1) Ease of use and simple syntax make it the first choice for beginners. 2) Closely integrated with web development, excellent interaction with HTTP requests and database. 3) The huge ecosystem provides a wealth of tools and libraries. 4) Active community and open source nature adapts them to new needs and technology trends.

PHP and Python are both high-level programming languages that are widely used in web development, data processing and automation tasks. 1.PHP is often used to build dynamic websites and content management systems, while Python is often used to build web frameworks and data science. 2.PHP uses echo to output content, Python uses print. 3. Both support object-oriented programming, but the syntax and keywords are different. 4. PHP supports weak type conversion, while Python is more stringent. 5. PHP performance optimization includes using OPcache and asynchronous programming, while Python uses cProfile and asynchronous programming.

PHP is mainly procedural programming, but also supports object-oriented programming (OOP); Python supports a variety of paradigms, including OOP, functional and procedural programming. PHP is suitable for web development, and Python is suitable for a variety of applications such as data analysis and machine learning.

PHP originated in 1994 and was developed by RasmusLerdorf. It was originally used to track website visitors and gradually evolved into a server-side scripting language and was widely used in web development. Python was developed by Guidovan Rossum in the late 1980s and was first released in 1991. It emphasizes code readability and simplicity, and is suitable for scientific computing, data analysis and other fields.

PHP is suitable for web development and rapid prototyping, and Python is suitable for data science and machine learning. 1.PHP is used for dynamic web development, with simple syntax and suitable for rapid development. 2. Python has concise syntax, is suitable for multiple fields, and has a strong library ecosystem.

PHP remains important in the modernization process because it supports a large number of websites and applications and adapts to development needs through frameworks. 1.PHP7 improves performance and introduces new features. 2. Modern frameworks such as Laravel, Symfony and CodeIgniter simplify development and improve code quality. 3. Performance optimization and best practices further improve application efficiency.

PHPhassignificantlyimpactedwebdevelopmentandextendsbeyondit.1)ItpowersmajorplatformslikeWordPressandexcelsindatabaseinteractions.2)PHP'sadaptabilityallowsittoscaleforlargeapplicationsusingframeworkslikeLaravel.3)Beyondweb,PHPisusedincommand-linescrip

PHP type prompts to improve code quality and readability. 1) Scalar type tips: Since PHP7.0, basic data types are allowed to be specified in function parameters, such as int, float, etc. 2) Return type prompt: Ensure the consistency of the function return value type. 3) Union type prompt: Since PHP8.0, multiple types are allowed to be specified in function parameters or return values. 4) Nullable type prompt: Allows to include null values and handle functions that may return null values.


Hot AI Tools

Undresser.AI Undress
AI-powered app for creating realistic nude photos

AI Clothes Remover
Online AI tool for removing clothes from photos.

Undress AI Tool
Undress images for free

Clothoff.io
AI clothes remover

Video Face Swap
Swap faces in any video effortlessly with our completely free AI face swap tool!

Hot Article

Hot Tools

Atom editor mac version download
The most popular open source editor

SublimeText3 Linux new version
SublimeText3 Linux latest version

mPDF
mPDF is a PHP library that can generate PDF files from UTF-8 encoded HTML. The original author, Ian Back, wrote mPDF to output PDF files "on the fly" from his website and handle different languages. It is slower than original scripts like HTML2FPDF and produces larger files when using Unicode fonts, but supports CSS styles etc. and has a lot of enhancements. Supports almost all languages, including RTL (Arabic and Hebrew) and CJK (Chinese, Japanese and Korean). Supports nested block-level elements (such as P, DIV),

Zend Studio 13.0.1
Powerful PHP integrated development environment

SecLists
SecLists is the ultimate security tester's companion. It is a collection of various types of lists that are frequently used during security assessments, all in one place. SecLists helps make security testing more efficient and productive by conveniently providing all the lists a security tester might need. List types include usernames, passwords, URLs, fuzzing payloads, sensitive data patterns, web shells, and more. The tester can simply pull this repository onto a new test machine and he will have access to every type of list he needs.