Your phone number serves as. quicksort. Here Quick Sort Algorithm is visualized which is a divide and conquer algorithm. MATCH DETAILS KICK OFF 09:00 PM COMPETITION PREMIER LEAGUE STADIUM EMIRATES STADIUM DATE 03/09/2023 HEAD TO HEAD TOTAL MATCHES 00 ARSENAL. 1. In quick sort, for n items if. It is based on the divide and conquer paradigm. If its a already sorted list of 10 strings for example wouldn't we always have to choose the same amount of pivots to get complete the recursive algorithm?شرح خامس طريقة من طرق الترتيب , وهي "الترتيب السريع " , وهي طريقة افضل نسبيا في بعض الحالات , تابع الفيديو. 00:12 Quicksort is a sorting algorithm that uses a divide-and-conquer approach. شرح لمادة تحليل وتصميم الخوارزميات ، خوارزمية Quick sort لا تنسون تشتركون في قناتي على التلقرام : @cs_students0ولا. An improvement upon this algorithm that detects this prevalent corner case and. Selection sort is noted for its simplicity and has performance advantages over more complicated algorithms in certain situations,. It utilizes a divide-and-conquer strategy to quickly sort data items by dividing a large array into two smaller arrays. n. Qwickbet Ethiopia, Addis Ababa, Ethiopia. In Go, the complete code would look like this. arr [ 0] to arr [pIndex -1 ] arr [pIndex +1] to arr [end] And executes the quickSort process on the sub-arrays. A sorting algorithm is said to be stable if it maintains the relative order of records in the case of equality of keys. It reduces the number of comparisons and doesn't effect the functionality at all. . Now B < A since insertion sort has a simpler inner loop, which means that below a certain value of n. Push all the elements greater elements to the right. An animated demonstration of sorting algorithms. In a divide and conquer sorting algorithm the original data is separated into two parts "divide" which are individually sorted and "conquered" and then combined. QuickSupport enables a support technician to remotely access, remotely. A Trivial Pursuit #24 (Sports and Leisure 4/4): Color Pattern What is the source of the quote "You can see a lot, just by looking"?. Time Complexity: Time complexity of the above implementation is same as time complexity of QuickSort() for arrays. 1. In detail, it has a number of advantages. 22. Quick Sort is a sorting algorithm, which is commonly used in computer science. One thing about the php quick sort (asort, arsort, etc) is that they mess your equal values, that is to say that values with different keys will randomly swap position, even between different runs. The quick sort uses divide and conquer to gain the same advantages as the merge sort, while not using additional storage. Just as a reference the Java8 implementation of Arrays. Push all the elements less than pivot to the left. Quicksort merupakan Algoritme pengurutan yang dikembangkan oleh Tony Hoare. Move all data points less than (below) the pivot to a position below the pivot - move those greater than or equal to (above) the pivot to a position above it. 2. They are high-performance fabrics that are naturally wicking for a cool, dry and fresh feel. HOW TO INSTALL. 1. But this is what you want. Quick sort is an algorithm which is used to sort the list of elements. 12. page:this lesson, we explain and demonstrate graphically how to perform the quicks. QuickSort(A[1,. Comparison Sorting Algorithms. Quick Sort is a sorting algorithm that works using the divide-and-conquer approach. Quick sort is an efficient sorting algorithm invented by C. Sobre. Created at Sapientia University, Tirgu Mures (Marosvásárhely), Romania. Their quick sort implementation is however very complex with some initial. While Mergesort uses the most obvious form of divide and conquer (split the list in half then sort the halves), this is not the only way that we can break down the sorting problem. A best-of-three pivot is good. 11. 620 Reviews. 和归并排序不同,第一步并不是直接. select multiple) Lot Number or Numbers. Partitioning: reorder the array so that all elements with values less than the pivot come before the pivot, while all elements with values greater than the pivot come after it (equal values can go either way). Algoritme ini juga dikenal sebagai Partition-Exchange Sort atau disebut sebagai Sorting Pergantian Pembagi. Fix some input array of length n. There are many versions of Quicksort that pick. Quick Sort is a Divide and Conquer algorithm. I had a little improvement for efficiency. >Each node is greater than or equal to any of its children. However, Heapsort is somewhat slower in practice on most machines than a well-implemented quick sort. The basic idea behind cycle sort is to divide the input array into cycles, where each cycle consists of elements that belong to the same. The runtime is technically nlog 3 (n) which varies ever so. R. By using a generic type parameter with the constraint that the type has to implement the IComparable<T> (or IComparable) interface, you can perform the quick sort algorithm without knowing the exact type you are working with. We use the Python len () method to calculate the length of our list of values. QuickScores is dedicated to making it as easy as possible to manage your sports program. Quick Sort is a popular sorting algorithm, but how does it work? Alex continues our exploration of sorting algorithms with a quick look at quick sort. Extract mod's archive in game's directory. (Considering the average case) So bubble. Partition the array into two halves, the left side of the array containing elements less than the pivot element, and the right side of the array containing elements greater than the pivot element. Then, the loop on lines 4 through 11 will look at each element in the array, determine if it is less than or equal to pivotValue, and swap that element with the element at pivotIndex if. And quicksort takes 10*log2 (10)*20 = 664ms. n^2, where A and B are the constant factors corresponding roughly to "cost of instructions executed per iteration". 1. Also try practice problems to test & improve your skill level. Quicksort steps: Pick an element, called a pivot, from the array. It is a divide and conquer strategy. First, we’ll want to choose a pivot (usually the last element) Then, we’ll need to create a left reference to the lowest index (the first) element. At each step,. This process is continued for the left and right. Click the card to flip 👆. It picks an element as pivot and partitions the given array around the picked pivot. Dr. Multiplying both you get O (NlogN). Submit your solutions here-: resources that can never be matched, presented to al. Qwick bet – Qwickbet Ethiopia. Step 1 - Consider the first element of the list as pivot (i. CC 310 Textbook. Assume 16 numbers to be sorted with 6 digits each: Radix sort = 16 * 6 = 96 time units. I'm tasked with sorting an array of strings using theIn that case, QUICKSORT (A, start, q-1) and QUICKSORT (A, q+1, end) will take T(n 2) each and the PARTITION function is going to take Θ(n) time. 3) Use insertion sort when the size reduces below a experimentally calculated threshold. Quick Sort is a Divide and Conquer algorithm. The difference is, instead of recurring for. It takes a pivot element and places it in its correct position. On your computer’s desktop, open the QuickSupport app. I used std::swap to change elements and ans std::vector instead of. As a trade-off, however, it is possible that the list may not be divided in half. Quick sort is one of the most famous sorting algorithms based on divide and conquers strategy which results in an O (n log n) complexity. For example, say that we a have a pivot element based on which the partition is made. If a limited stack overflows the sorting simply restarts. Quick sort is an in-place sorting algorithm. The idea of 3 way Quick Sort is to process all occurrences of the pivot and is based on Dutch National Flag algorithm. Combine − Once solved, all the subproblems are merged/combined. I am trying to analyze the quick sort algorithm with a random pivot on C#. The length of “values” minus 1 is the high value we specify. Visualizer BETA. Quick Sort follows the divide and conquers approach since. but, the constant may differ significantly and this is what makes a big difference. So, 7 is the pivot element. We can summarise quick sort into three main steps: Pick an element as a pivot. It’s important to remember that Quicksort isn’t a stable algorithm. Overview of quicksort. move elements smaller than the pivot to the beginning, and elements larger than pivot to the end. T(n) = 2T(n 2) + Θ(n) We have already dealt with this same equation many times in this course and know that it is going to take Θ(nlgn) time. This happens when the input array is sorted or reverses sorted and either the first or last element is picked as a pivot. The Quicksort steps are: Pick an element, called a pivot, from the list. The size of the needed stack is smaller than 2·log 2 (n) entries (about 99. There are many different versions of quickSort that pick pivot in different ways. 4. r] elements greater than pivot. It is one of the most efficient sorting algorithms and is based on splitting an. First, we’ll want to choose a pivot (usually the last element) Then, we’ll need to create a left reference to the lowest index (the first) element. Linked List before sorting 30 3 4 20 5. In 1905, Quick was founded in Hengelo, Gelderland, and started the production of athletic shoes for many sports. Für ein Beispiel mit Zeigern gibt's hier eine neue Version: htt. If it’s 0-0 and the home team win in extra time, the. performa rata-rata pengurutan O ( n log n) untuk mengurutkan n item. Quick sort is in-place manipulation. How to count the comparisons made in Quick Sort. is a sorting algorithm that repeatedly partitions the input into low and high parts (each part unsorted), and then recursively sorts each of those parts. If the pivot can be chosen adversarially. Well "modify" is a rather subjective word here. code in Java. (Gene J. This Algorithm takes an array as input and divides it into many sub-arrays until it matches a suitable condition, merges the elements then returns a sorted array. In addition, there is no need for additional memory as in the merge sort process. When you accept the connection, the remote session will begin. Part of its popularity also derives from the ease of implementation. Step 1 − Choose the highest index value has pivot. Qwickbet is an international sports betting company, giving new betting options to the Ethiopian mar. Note: The low and high are inclusive. Quick Sort Algorithm ExplainedPATREON : on Udemy=====Java ProgrammingQuick Sort is a sorting algorithm based on partitioning the array of data into sub-arrays to sort them recursively. Quicksort is a popular sorting algorithm that is often faster in practice compared to other sorting algorithms. Its connectivity is wired and it is made of durable plastic material. If you want that table sorted by year, and then alphabetically by. In your case, the if statement that checks left < right is the answer to your. . 1. The Kwick Journey was built for all the road your journey will take you down. Within the parallel section you have 2 sub sections. Sort by Length. 450 Swift St,. See complete series on sorting algorithms here:this lesson, we have. 4,108 likes · 974 were here. Operating in the capital citStats can help you see patterns and trends for your team or your upcoming opponent. In quick sort, after selecting the pivot element, the array is split into two subarrays. Quick sortPerformanceParallel formulationExamplePivot selectionCombining blocksMPI version Pivot selection I Selecting a pivot at random works well in the sequential quick sort I A process from a process group can select a pivot at random I If a “bad” partition occurs, we may have load imbalance I Assume uniform distribution of the elements I If we assume. 8. Esse artigo tem o objetivo de explicar os fundamentos e técnicas por trás do algoritmo de ordenação Quicksort. 1. The divide-and-conquer algorithms recursively break down a problem into. Pick an element, called a pivot, from the array. 3. output. sort (arr), then create a string with the sorted characters using new String (arr). QwickBet. Visualizer BETA. This algorithm is basically a repetition of two simple steps that are the following: Pick a pivot and place it in its correct place in the sorted array. 👉Subscribe to our new channel:👉Links for DAA Notes:🔗File-1: by: Junaid Gazi. Sure: for n items, the work done by quicksort is A. Improve this answer. The worst-case time complexity of Quick Sort is O(n 2). Now we will be having negative elements on the left-hand side and positive elements on the right-hand side. freelancer. 2 - Away win. Qwickbet is an international sports betting company, giving new betting options to the Ethiopian mar. SOLVE NOW. Each sub sections is executed by 1 thread. 11. 快速排序使用分治法(Divide and conquer)策略來把一個序列(list)分為較小和較大的2個子序列,然後遞迴地排序兩個子序列。. Array size: Array layout: Array Values (optional): Detailed tutorial on Selection Sort to improve your understanding of { { track }}. This set of Data Structure Multiple Choice Questions & Answers (MCQs) focuses on “Quick Sort – 3”. " The first level of the tree shows a single node n and corresponding partitioning time of c times n. Pada kasus terburuknya, algoritme ini membuat perbandingan O ( n2 ), walaupun kejadian. Private Sub Form_Load () Dim MyStrArray () As String, K As Long, Q As Long. If a limited stack overflows the sorting simply restarts. 11 00:53:19. 1. There are two fundamental operations in the algorithm, swapping items in. Exercise 7. You continue partitioning each partition until the array is sorted. 7 堆排序 →. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere. Based on our understanding of partitioning in quick sort, we will now try to write an algorithm for it, which is as follows. QuickSort on Singly linked list was given as an exercise. Overview. Chapter 7: Quicksort Quicksort is a divide-and-conquer sorting algorithm in which division is dynamically carried out (as opposed to static division in935 2 15 33. 10 hours ago · Graham Couch, Lansing State Journal. Given an array arr[], its starting position is low (the index of the array) and its ending position is high(the index of the array). 2. Take 2 index variable, neg=0 and pos=partition index+1. 11. VB Code: Option Explicit. Implement Quick Sort Problem Explanation Quick sort is an efficient sorting algorithm. A stable sorting algorithm is an algorithm where the. It then recursively calls itself to sort the two sublists. When implemented well, it can be about two or three times faster than its main competitors. The result is (nlog{n}). The helper will take two add extra arguments: the int values for the "start" and "end" of this quicksort section. The given answer shows the correct intermediate steps of the data set being sorted with the Quick sort algorithm. This algorithm is mainly used to sort strings. Now return the head of the linked list after joining the left and the right list, as the whole linked list is now sorted. Engineered for comfort, these Coolmax-certified fabrics meet demanding performance and quality tests, and are verified to create a cooling effect on the skin. Step by step instructions showing how to run quick sort. Quicksort is a popular in-place sorting algorithm that applies the divide-and-conquer approach. Scowen), which was originally used to implement it in the Unix C library, although the C standard does not require it to. Application and uses of Quicksort. We export used clothing,shoes and othersThe task is to complete the function quickSort() which should set the *headRef to head of the resultant linked list. Steps to implement Quick sort algorithm in place: 1. This algorithm is very common in job interviews. 快速排序是由东尼·霍尔所发展的一种排序算法。. You can see that (1, 5) comes before (1, 2) in the sorted order, which was the original order i. This has been implemented using stack concept LIFO. Section 7. It is a divide-and-conquer algorithm that works on the idea of selecting a pivot element and dividing the array into two subarrays around that pivot. (algorithm) Definition: Pick an element from the array (the pivot), partition the remaining elements into those greater than and less than this pivot, and recursively sort the partitions. Read about my new book, "Zuto: The Adventures of a Computer Virus", or visit my hom. The Crossword Solver finds answers to classic crosswords and cryptic crossword puzzles. It is efficient on large data sets. Divide stands for : Rearranging the elements and split arrays into two sub-arrays and an element in between search that each element in left sub array is less than or equal to the average [Quick Sort algorithm explanation, Java Program for Quick Sort Algorithm, Flowchart for. The space complexity is O(logn). Home Aviator Games Jackpot Accumulator QWICK Promotions. Answer: a Explanation: In quick sort, the array is divided into sub-arrays and then it is sorted (divide-and-conquer strategy). 2) To reduce the stack size, first push the indexes of smaller half. Sport Chek is Canada's health and wellness destination for looking well, feeling well, and performing well. Get remote support for your computers and mobile devices — whenever you need it. Problems. The base case is the point at which the length of arr is under two, in which case arr is as of now sorted. Similarly, after the left side, recur for the list on the right side of the pivot. Definition of qwick in the Definitions. Do the above 3 steps, till the stack is empty. by Quicksports • September 03, 2023. You continue partitioning each partition until the array is sorted. The answer depends on the strategy for choosing pivot. The steps are: 1) Pick an element from the array, this element is called as pivot element. Visão geral do quicksort. In computer science, selection sort is an in-place comparison sorting algorithm. qsort calls the compare routine one or more times during the sort, and passes pointers to two array. It boasts of an average time complexity of O (n log n ) (in big-o notation), which compared to its peers is pretty fast. It’s an in-place algorithm so it doesn’t take any auxilary space. 11 03:50:24. A sorting algorithm is said to be stable if it maintains the relative order of records in the case of equality of keys. This mod allows you to quickly stack your items into the current or nearby chests, quickly restock items like food and ammo from the current or nearby chests, sort the player inventory or the current chest, trash the currently held item or quick trash all previously trash flagged items or store all items into the current chest. A. In Iterative method: Push the range (0. In-Place Quicksort (Java) The quicksort algorithm is recursive, but we're going to handle the recursion in a helper. Quick sort is definitely one of the less intuitive algorithms, so here’s a very simple overview. One huge advantage of a stable sorting algorithm is that a user is able to first sort a table on one column, and then by another. Important Topics for the Strategy Method in C++ Design. Last time we solved several recurrences of the form T(n)=aT(n=b)+nc (T(1) = 1). 퀵. The small amount of time taken in picking a good pivot is saved in the efficiency gained from making bad pivots unlikely. If you are interested in learning more about sorting algorithms, I encourage you to explore realpython. { Strassen’s algorithm) T(n)=7T(n=2)+n2 (a =7;b=2,andc=2). Including the theory, code implementation using recursion, space and time complexity analysis, along with c. Argentina (18) Armenia (1) Australia (17) Austria (20) Azerbaijan (1)快速排序(英语: Quicksort ),又称分区交换排序( partition-exchange sort ),是一种排序算法,最早由东尼·霍尔提出。 在平均状况下,排序 个项目要 (大O符号)次比较。 在最坏状况下则需要 次比较,但这种状况并不常见。 事实上,快速排序 通常明显比其他算法更快,因为它的内部循环(inner loop. . Copyright © 2000–2019, Robert Sedgewick and Kevin Wayne. Which of the following is the tightest upper bound on time complexity of this modified Merge Sort. 퀵 정렬 (Quicksort)은 찰스 앤터니 리처드 호어 가 개발한 정렬 알고리즘 이다. You might have figured out that space complexity is the memory space required by the algorithm to solve problems. Directed by Kátai Zoltán and Tóth László. The meat of the algorithm counter-intuitively lives in the partition () function. To summarize, in this post we discussed the quick sort algorithm and showed how to implement it in python. Quick provided the official running shoes for the Olympic Games of 1928 in Amsterdam. Given an array arr [], its starting position is low (the index of the array) and its ending position is high (the index of the array). . Coming to the space complexity, since the quick sort algorithm doesn’t require any additional space other than that to store the original array,. whereas The merge sort is external sorting method in which the data that is to be sorted cannot be accommodated in the memory and needed auxiliary memory for sorting. EST. 1. 1) Partition process is the same in both recursive and iterative. There is no constant-time pivot selection method which fixes the O (n 2) worst case for quicksort. It’s important to remember that Quicksort isn’t a stable algorithm. Rob Edwards from San Diego State University quixotically characterizes the quick sort algorithm, really the only sort you need or use. Make the necessary changes to the partition method to achieve that. In the realm of sorting the quicksort is king! Quicksort is a recursive, divide-and-conquer algorithm that is ranked as fastest in its class. When this happens, we will see that. We then pass 0 as the low number. Motor Sports: Qwick Bet isn't limited to traditional sports. The worst case occurs when the picked pivot is always an extreme (smallest or largest) element. The worst-case is usually avoided by using a randomized version of Quicksort. Quick Sort is a sorting technique that sorts the given range of elements and returns that range in sorted order as output. shifts worked with Qwick. In cooperation with "Maros Művészegyüttes",. The way that quicksort uses divide-and-conquer is a little different from how merge sort does. Quicksort Visualizationdef quick_sort (array, start, end): if start >= end: return #call pivot p = pivot (array, start, end) #recursive call on left half quick_sort (array, start, p-1) #recursive call on right half quick_sort (array, p+1, end) The last two statements make the recursive calls on the left and right halves respectively. Space complexity. Diagram of worst case performance for Quick Sort, with a tree on the left and partition times on the right. It picks an element as a pivot and partitions the given array around the picked pivot. From bike path to city streets, town-line to town-square, there is no journey that you cannot take with this fast rolling trekking tire. number Array size in elements. In this video, we will learn about the Quick Sort Algorithm. Lets choose 4 and 7: 3, 2, 0, 2, | 4, 6, 5, 7, | 8, 8, 9. Other algorithms might be better. Quicksort. which takes O (n^2) time in worst case and O (nLogn) in average and. The worst case occurs when there are 0 elements in one subarray and n-1 elements in the other. Because TeamViewer QuickSupport is an application that runs only when needed. So you must loop from si + 1 to ei. Note: The low and high are inclusive. But it seems to me that the worst case happens when the list is sorted in decreasing order and the pivot is the first element in the list, which, in this case, would be the greatest element on the list. After getting the pivotIndex which is essentially the fixed position of that. n) into the stack. Iterate in a for loop from i = high to low+1: If arr [i] is greater than pivot then swap arr [i] and arr [k] and decrement k. No merge sort, o passo da divisão não faz muita coisa, e todo o trabalho acontece na etapa de. Inputs. here) - so the constant in the above expression for Quick sort is much smaller. sort(int[]) uses a threshold of 47, anything less than that is sorted using insertion. We select a number, called our pivot, which we’ll compare every number to when we loop through our items. 1 1 1 bronze badge. Introduction to Bucket Sort; Algorithm; Time complexity analysis; Worst case time complexityQuick Sort is a Divide and Conquer algorithm. Java Program for QuickSort. There are two ways to analyze the running time: Using master theorem. Qwickbet is a popular betting site in Ethiopia. The pseudorandom selection of the pivot element ensures efficient sorting in O (n log n) under all input conditions (increasing, decreasing order, equal elements). One of which is introsort. To summarize, in this post we discussed the quick sort algorithm and showed how to implement it in python. 51 likes · 1 was here. All sorts are fundamentally less, equal, greater. com which goes into other sorting algorithms such as ‘merge sort’, ‘insertion sort’ and ‘bubble sort’. pi = partition (xs, i, j) # Sort left side and right side. int mid = lo + (hi - lo) / 2; sort (a, aux, lo, mid); sort (a, aux, mid + 1, hi); merge (a, aux, lo, mid, hi); } Next is the F# implementation. 2. Swap with the element at the index. 9% probability). Problems. quicksort (xs, i, pi - 1) quicksort (xs, pi + 1, j) Implement the functions that your top-level design omitted. Quicksort. 1. The Quicksort steps are: Pick an element, called a pivot, from the list. Origina. It has an average O (n log n) complexity and it’s one of the most used sorting algorithms, especially for big data volumes. A stable sorting algorithm is an algorithm where the elements with the. Last updated: Thu Aug 11 09:06:38 EDT 2022. Cycle sort is an in-place, unstable sorting algorithm that is particularly useful when sorting arrays containing elements with a small range of values. Sorts a random shuffle of the integers [1,100] using the original variant of quick sort, with. In computer science, quickselect is a selection algorithm to find the k th smallest element in an unordered list, also known as the k th order statistic. here is an smart method to choose pivot element- 1. . lots with commas) Sire. The argument base is a pointer to the base of the array to be sorted. 1. The quick sort algorithm works in a divide-and-conquer fashion : Divide :-. First quick sorts original array keys, then returns sorted copy of original array. DETROIT –. 4 (read this note instead), 7. Usage: Use a pivot to partition the list into two parts. You can also bet on NASCAR, Formula 1, and other motor racing events. ReDim MyStrArray (1 To 10)Python Program for QuickSort. Step 2 − Take two variables to point left and right of the list excluding pivot. Question 3. 在最坏状况下则需要 Ο (n2) 次比较,但这种状况并不常见。. No need to create extra arrays. Spoiler alert, it uses recursion. You can sort the objects in two different ways. Instead of copying the array into multiple sub-arrays, use indices to keep track of the different sub-arrays. Consider an. This pattern enables the algorithm to be selected at runtime, providing flexibility and promoting code reusability. Unfortunately, Quicksort's performance degrades as the input list becomes more ordered. 퀵 정렬은 n 개의 데이터를 정렬할 때, 최악의 경우에는 O ( n2 )번의 비교를 수행하고, 평균적으로 O ( n log n )번의. ATTEMPTED BY: 2109 SUCCESS RATE: 69% LEVEL: Easy. In this article, we have explained the Time and Space Complexity analysis of Bucket sort along with its algorithm, space complexity and time complexity for worst case, average case and best case. Instead of using the condition i % 2 == 0 for checking i as an even number you can instead use i % 2 as a condition for checking i as an odd number. Worst case scenario, your pivot point. Join an existing. 快速排序的工作原理是通过 分治 的方式来将一个数组排序。. 5강 - 퀵 정렬(Quick Sort)의 시간 복잡도와 작동 원리 [ 실전 알고리즘 강좌(Algorithm Programming Tutorial) #5 ] 지난 시간까지 다루었던 선택 정렬, 버블 정렬, 삽입 정렬 알고리즘은 모두 시간 복잡도 O(N^2)을 가지는 알고리즘이었습니다. As you probably know, recursion works by defining the larger problem in terms of its smaller instances and solves the larger problem by solving the smaller instances of the problem and using those solutions to construct the larger solution. The sorting algorithm used by this function compares pairs of elements by calling the specified compar function with pointers to them as argument. """ if a >= b: return # range is trivially sorted pivot = S[b] # last element of range is pivot left = a # will scan rightward right = b-1 # will scan leftward while left <= right: # scan until reaching value equal or. And it will happen recursively for the further sub-arrays. There is no other condition that has essential differences from this one. 2. 10. When it's high, it loses.