title

Quick Sort For Beginners | Strivers A2Z DSA Course

description

Notes:
Problem Link: http://bit.ly/41sTzt8
Full Course: https://bit.ly/tufA2ZYt
Notes/C++/Java/Python Codes: https://takeuforward.org/data-structure/quick-sort-algorithm/
You can follow me across social media, all my handles are below:
Linkedin/Instagram/Telegram: https://linktr.ee/takeUforward
0:00 - intro
1:10 - Flow Chart
3:28 - Explanation of the Algo
19:29 - Psuedo Code & Dry run
27:32 - Note about comparator signs
29:01 - Important Point
29:52 - Online code
32:31 - Time Complexity and Space complexity
34:22 - Outro

detail

{'title': 'Quick Sort For Beginners | Strivers A2Z DSA Course', 'heatmap': [{'end': 1465.186, 'start': 1439.923, 'weight': 0.751}, {'end': 1630.652, 'start': 1586.525, 'weight': 0.829}, {'end': 1949.854, 'start': 1900.827, 'weight': 0.733}], 'summary': 'The a2z dsa course presents an in-depth quick sort algorithm with 456 modules and 400+ problems, outperforming other paid courses. the chapters cover pivot placement, array partitioning, and pivot finding, emphasizing understanding the algorithm and its language-independent nature, and discussing its time complexity of n log n and space complexity of big of one.', 'chapters': [{'end': 209.787, 'segs': [{'end': 48.048, 'src': 'embed', 'start': 22.789, 'weight': 0, 'content': [{'end': 27.711, 'text': 'none of them will be covering any ds algo stuff in such depth.', 'start': 22.789, 'duration': 4.922}, {'end': 36.158, 'text': "this course has 456 modules and you'll be covering 400 plus problems in this particular course itself.", 'start': 27.711, 'duration': 8.447}, {'end': 43.244, 'text': 'so once you complete the course, you will be ready for any of the ds algorithms in any of the companies in any part of the world.', 'start': 36.158, 'duration': 7.086}, {'end': 44.945, 'text': 'that is my guarantee to you.', 'start': 43.244, 'duration': 1.701}, {'end': 48.048, 'text': 'so in this video we will be learning about quickshot.', 'start': 44.945, 'duration': 3.103}], 'summary': '456 modules, 400+ problems cover comprehensive ds algo for global readiness.', 'duration': 25.259, 'max_score': 22.789, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/WIrA4YexLRQ/pics/WIrA4YexLRQ22789.jpg'}, {'end': 96.472, 'src': 'embed', 'start': 67.939, 'weight': 1, 'content': [{'end': 70.06, 'text': "so without waiting, let's get started.", 'start': 67.939, 'duration': 2.121}, {'end': 71.561, 'text': 'quick sort algorithm.', 'start': 70.06, 'duration': 1.501}, {'end': 72.861, 'text': 'what does the algorithm do?', 'start': 71.561, 'duration': 1.3}, {'end': 74.182, 'text': 'very obvious to guess.', 'start': 72.861, 'duration': 1.321}, {'end': 83.146, 'text': 'yes, it does sort any of the given data structure in an ascending order, but if you do some minor tweaks to it, yes,', 'start': 74.182, 'duration': 8.964}, {'end': 88.809, 'text': 'if you do some minor tweaks to it, it will be also sorting it in an descending order.', 'start': 83.146, 'duration': 5.663}, {'end': 96.472, 'text': "so in this video i'll be teaching you the quick sort algorithm that sorts the given data structure in an ascending order in depth,", 'start': 88.809, 'duration': 7.663}], 'summary': 'Teaching quick sort algorithm for ascending order sorting.', 'duration': 28.533, 'max_score': 67.939, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/WIrA4YexLRQ/pics/WIrA4YexLRQ67939.jpg'}, {'end': 170.612, 'src': 'embed', 'start': 146.534, 'weight': 2, 'content': [{'end': 155.981, 'text': 'so you must be thinking but driver, wait, we already know about the merge sort algorithm, which has a time complexity of n, log, n,', 'start': 146.534, 'duration': 9.447}, {'end': 161.826, 'text': 'and has a space complexity of b, go of n, where we use an extra temporary array.', 'start': 155.981, 'duration': 5.845}, {'end': 162.906, 'text': 'why quick sort?', 'start': 161.826, 'duration': 1.08}, {'end': 170.612, 'text': "so quick sort has a time complexity similar to motion and login but doesn't use as any extra temporary array.", 'start': 162.906, 'duration': 7.706}], 'summary': 'Quick sort has similar time complexity as merge sort but uses less space by not requiring an extra temporary array.', 'duration': 24.078, 'max_score': 146.534, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/WIrA4YexLRQ/pics/WIrA4YexLRQ146534.jpg'}, {'end': 219.454, 'src': 'embed', 'start': 192.135, 'weight': 3, 'content': [{'end': 196.438, 'text': "it's very important that you understand all the sorting algorithms, because you never know.", 'start': 192.135, 'duration': 4.303}, {'end': 199.92, 'text': 'in an interview, the interviewer might ask you any of the sorting algorithms,', 'start': 196.438, 'duration': 3.482}, {'end': 204.103, 'text': 'might ask you any question that might be similar to a particular sorting algorithm.', 'start': 199.92, 'duration': 4.183}, {'end': 206.605, 'text': 'so do not skip any of the sorting algorithms.', 'start': 204.103, 'duration': 2.502}, {'end': 209.787, 'text': 'that is what my recommendation to you will be.', 'start': 206.605, 'duration': 3.182}, {'end': 217.532, 'text': "so let's get into the explanation of the algorithm and we will be using this particular array as an example to understand the algorithm.", 'start': 209.787, 'duration': 7.745}, {'end': 219.454, 'text': 'so the first step of the algorithm is very simple.', 'start': 217.532, 'duration': 1.922}], 'summary': 'Understanding all sorting algorithms is crucial for interviews. do not skip any algorithm.', 'duration': 27.319, 'max_score': 192.135, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/WIrA4YexLRQ/pics/WIrA4YexLRQ192135.jpg'}], 'start': 3.317, 'title': 'Quick sort algorithm overview', 'summary': 'Covers an in-depth quick sort algorithm in the a2z dsa course with 456 modules and 400+ problems, outperforming other paid courses, and highlighting its language-independent nature and advantages over merge sort.', 'chapters': [{'end': 209.787, 'start': 3.317, 'title': 'Quick sort algorithm overview', 'summary': 'Covers the in-depth quick sort algorithm in the a2z dsa course, encompassing 456 modules and 400+ problems, guaranteeing readiness for ds algorithms in any company worldwide, outperforming other paid courses on the market, and highlighting its language-independent nature and advantages over merge sort.', 'duration': 206.47, 'highlights': ["The A2Z DSA course covers 456 modules and 400+ problems, ensuring readiness for any DS algorithms in any company worldwide. The course's extensive coverage of 456 modules and 400+ problems guarantees preparedness for DS algorithms in any company globally.", 'The Quick Sort algorithm sorts the given data structure in an ascending order in depth and allows for minor tweaks to sort it in a descending order. The Quick Sort algorithm is taught comprehensively, enabling the sorting of data structures in both ascending and descending orders with minor tweaks.', "Quick Sort has a time complexity similar to merge sort with no use of extra temporary arrays, making it slightly better than merge sort. Quick Sort's time complexity is comparable to merge sort, with the advantage of not using extra temporary arrays, rendering it slightly better than merge sort.", 'Understanding all sorting algorithms is recommended due to potential interview questions and real-world problem-solving scenarios. Comprehensive understanding of all sorting algorithms is crucial for handling potential interview questions and real-world problem-solving scenarios.', 'The chapter emphasizes the language-independent nature of the course and its superiority over other paid courses available in the market. The course is highlighted for its language-independent nature and superiority over other paid courses in the market.']}], 'duration': 206.47, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/WIrA4YexLRQ/pics/WIrA4YexLRQ3317.jpg', 'highlights': ['The A2Z DSA course covers 456 modules and 400+ problems, ensuring readiness for any DS algorithms in any company worldwide.', 'The Quick Sort algorithm sorts the given data structure in an ascending order and allows for minor tweaks to sort it in a descending order.', 'Quick Sort has a time complexity similar to merge sort with no use of extra temporary arrays, making it slightly better than merge sort.', 'Comprehensive understanding of all sorting algorithms is crucial for handling potential interview questions and real-world problem-solving scenarios.', 'The chapter emphasizes the language-independent nature of the course and its superiority over other paid courses available in the market.']}, {'end': 713.727, 'segs': [{'end': 237.849, 'src': 'embed', 'start': 209.787, 'weight': 0, 'content': [{'end': 217.532, 'text': "so let's get into the explanation of the algorithm and we will be using this particular array as an example to understand the algorithm.", 'start': 209.787, 'duration': 7.745}, {'end': 219.454, 'text': 'so the first step of the algorithm is very simple.', 'start': 217.532, 'duration': 1.922}, {'end': 222.416, 'text': "if you're given an array.", 'start': 220.154, 'duration': 2.262}, {'end': 226.039, 'text': 'the first step is very simple pick a pivot.', 'start': 222.416, 'duration': 3.623}, {'end': 228.521, 'text': 'remember this pick a pivot.', 'start': 226.039, 'duration': 2.482}, {'end': 229.582, 'text': 'what is a pivot?', 'start': 228.521, 'duration': 1.061}, {'end': 237.849, 'text': 'pivot can be any element in the array, any element can be the first element, can be the last, can be the median,', 'start': 229.582, 'duration': 8.267}], 'summary': 'Algorithm explanation using array as example, involving pivot selection.', 'duration': 28.062, 'max_score': 209.787, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/WIrA4YexLRQ/pics/WIrA4YexLRQ209787.jpg'}, {'end': 405.75, 'src': 'embed', 'start': 370.457, 'weight': 2, 'content': [{'end': 372.118, 'text': 'Pick up a pivot and pivot can be anything.', 'start': 370.457, 'duration': 1.661}, {'end': 373.659, 'text': "Doesn't matter what you pick.", 'start': 372.738, 'duration': 0.921}, {'end': 380.524, 'text': "Because at the end of the day, if you're putting them into its correct place and every element is put, the array will be sorted.", 'start': 374.219, 'duration': 6.305}, {'end': 381.925, 'text': "It doesn't matter what you pick.", 'start': 380.544, 'duration': 1.381}, {'end': 385.166, 'text': "as long as you're putting them into the correct place.", 'start': 382.805, 'duration': 2.361}, {'end': 389.707, 'text': "at the end of the day, if i've picked up every element, the array will be sorted.", 'start': 385.166, 'duration': 4.541}, {'end': 392.167, 'text': "that's the reason any of them will work.", 'start': 389.707, 'duration': 2.46}, {'end': 393.848, 'text': 'but we will go with first element.', 'start': 392.167, 'duration': 1.681}, {'end': 398.689, 'text': "you can go with the last median, whatever you wish to, okay, so we've understood the algorithm.", 'start': 393.848, 'duration': 4.841}, {'end': 403.69, 'text': 'pick up a pivot and place it in its correct place in the sorted array.', 'start': 398.689, 'duration': 5.001}, {'end': 405.75, 'text': 'but what happens to other elements?', 'start': 403.69, 'duration': 2.06}], 'summary': 'Picking any pivot and placing it correctly will sort the array, making any choice valid.', 'duration': 35.293, 'max_score': 370.457, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/WIrA4YexLRQ/pics/WIrA4YexLRQ370457.jpg'}, {'end': 519.966, 'src': 'embed', 'start': 488.202, 'weight': 5, 'content': [{'end': 489.983, 'text': 'If 4 is at its correct place.', 'start': 488.202, 'duration': 1.781}, {'end': 492.725, 'text': 'The left guys to the 4.', 'start': 490.504, 'duration': 2.221}, {'end': 493.626, 'text': 'In the sorted array.', 'start': 492.725, 'duration': 0.901}, {'end': 494.947, 'text': 'Will be smaller.', 'start': 494.126, 'duration': 0.821}, {'end': 496.688, 'text': 'And the right guys will be greater.', 'start': 495.307, 'duration': 1.381}, {'end': 497.949, 'text': "That's why.", 'start': 497.248, 'duration': 0.701}, {'end': 499.69, 'text': "It's logical to say.", 'start': 498.649, 'duration': 1.041}, {'end': 501.331, 'text': 'Smaller go on the left.', 'start': 500.35, 'duration': 0.981}, {'end': 503.032, 'text': 'And larger go on the right.', 'start': 501.851, 'duration': 1.181}, {'end': 506.034, 'text': "So that's the intuition behind the step 2.", 'start': 503.132, 'duration': 2.902}, {'end': 508.556, 'text': 'You have understood the intuition behind both the steps.', 'start': 506.034, 'duration': 2.522}, {'end': 511.779, 'text': 'Now what you need to do is repeat these steps.', 'start': 509.197, 'duration': 2.582}, {'end': 513.741, 'text': 'Repeat these steps again and again.', 'start': 512.139, 'duration': 1.602}, {'end': 515.381, 'text': 'And how do you do that? Very simple.', 'start': 514.061, 'duration': 1.32}, {'end': 519.966, 'text': 'Can I say 4 is done? What is left? The left portion and the right portion.', 'start': 515.802, 'duration': 4.164}], 'summary': 'In a sorted array, smaller elements go left, larger go right, repeating the steps.', 'duration': 31.764, 'max_score': 488.202, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/WIrA4YexLRQ/pics/WIrA4YexLRQ488202.jpg'}, {'end': 721.6, 'src': 'embed', 'start': 688.043, 'weight': 6, 'content': [{'end': 691.663, 'text': 'so at the end can I say this is also sorted.', 'start': 688.043, 'duration': 3.62}, {'end': 700.246, 'text': 'so at the end can i say the array automatically did it for all the elements and each of them is at its correct place.', 'start': 691.663, 'duration': 8.583}, {'end': 701.906, 'text': 'can i say that i can.', 'start': 700.246, 'duration': 1.66}, {'end': 705.327, 'text': 'thereby the quick sort algorithm works.', 'start': 701.906, 'duration': 3.421}, {'end': 707.948, 'text': 'this is the explanation and the intuition.', 'start': 705.327, 'duration': 2.621}, {'end': 712.846, 'text': 'done, explanation and the intuition.', 'start': 707.948, 'duration': 4.898}, {'end': 713.727, 'text': "it's very simple.", 'start': 712.846, 'duration': 0.881}, {'end': 721.6, 'text': 'if i have to explain it in a shorter way, pick up a pivot, place it in its correct place, smaller on the left, larger on the right.', 'start': 713.727, 'duration': 7.873}], 'summary': 'The quick sort algorithm automatically sorts elements, placing them in their correct places, by picking a pivot and arranging smaller elements on the left and larger elements on the right.', 'duration': 33.557, 'max_score': 688.043, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/WIrA4YexLRQ/pics/WIrA4YexLRQ688043.jpg'}], 'start': 209.787, 'title': 'Sorting algorithms', 'summary': 'Covers the pivot placement algorithm for sorting arrays and explains the quick sort algorithm, which involves picking a pivot, arranging elements, and recursively sorting individual arrays, resulting in a complete and correct sorted array.', 'chapters': [{'end': 405.75, 'start': 209.787, 'title': 'Pivot placement algorithm', 'summary': 'Explains the pivot placement algorithm, where any element in the array can be chosen as the pivot to be placed in its correct position, resulting in a sorted array at the end.', 'duration': 195.963, 'highlights': ['Pivot can be any element in the array, and placing each element in its correct position results in a sorted array.', 'The algorithm ensures that the array will be sorted regardless of the pivot choice as long as every element is put into its correct place.', 'The first step of the algorithm involves picking a pivot and placing it in its correct position, leading to a sorted array.', "The algorithm's intuition is simple: pick a pivot and place every element in its correct position to sort the array."]}, {'end': 713.727, 'start': 405.75, 'title': 'Explanation of quick sort algorithm', 'summary': 'Explains the quick sort algorithm, highlighting the steps of picking a pivot, arranging elements smaller on the left and larger on the right, and the recursive process of sorting individual arrays, resulting in a complete and correct sorted array.', 'duration': 307.977, 'highlights': ['The algorithm involves picking a pivot, arranging elements smaller on the left and larger on the right, and recursively sorting individual arrays, resulting in a complete and correct sorted array.', 'The intuition behind arranging smaller elements on the left and larger elements on the right is that in a sorted array, the left elements to the pivot will be smaller, and the right elements will be greater.', 'After the recursive process, each element is at its correct place in the array, demonstrating how the Quick Sort algorithm works.']}], 'duration': 503.94, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/WIrA4YexLRQ/pics/WIrA4YexLRQ209787.jpg', 'highlights': ["The algorithm's intuition is simple: pick a pivot and place every element in its correct position to sort the array.", 'The first step of the algorithm involves picking a pivot and placing it in its correct position, leading to a sorted array.', 'Pivot can be any element in the array, and placing each element in its correct position results in a sorted array.', 'The algorithm ensures that the array will be sorted regardless of the pivot choice as long as every element is put into its correct place.', 'The algorithm involves picking a pivot, arranging elements smaller on the left and larger on the right, and recursively sorting individual arrays, resulting in a complete and correct sorted array.', 'The intuition behind arranging smaller elements on the left and larger elements on the right is that in a sorted array, the left elements to the pivot will be smaller, and the right elements will be greater.', 'After the recursive process, each element is at its correct place in the array, demonstrating how the Quick Sort algorithm works.']}, {'end': 1079.546, 'segs': [{'end': 740.472, 'src': 'embed', 'start': 713.727, 'weight': 1, 'content': [{'end': 721.6, 'text': 'if i have to explain it in a shorter way, pick up a pivot, place it in its correct place, smaller on the left, larger on the right.', 'start': 713.727, 'duration': 7.873}, {'end': 724.925, 'text': 'and now the question comes how do you do this in a code?', 'start': 721.6, 'duration': 3.325}, {'end': 726.666, 'text': 'How do you do this in the code?', 'start': 725.586, 'duration': 1.08}, {'end': 734.37, 'text': 'So this is what we will be understanding in the pseudo code, because picking a pivot is very easy because first element is kind of easy.', 'start': 726.686, 'duration': 7.684}, {'end': 740.472, 'text': "But now you might be thinking, but how do you place the 4 in its correct place? Because by naked eye, it's very simple.", 'start': 734.75, 'duration': 5.722}], 'summary': 'Explain pivot placement and sorting in pseudo code.', 'duration': 26.745, 'max_score': 713.727, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/WIrA4YexLRQ/pics/WIrA4YexLRQ713727.jpg'}, {'end': 817.412, 'src': 'embed', 'start': 773.795, 'weight': 0, 'content': [{'end': 781.618, 'text': "we'll be using the concept of low and high that we use in the merge sort instead of building new arrays.", 'start': 773.795, 'duration': 7.823}, {'end': 784.58, 'text': "we'll be using pointers to explain that.", 'start': 781.618, 'duration': 2.962}, {'end': 787.515, 'text': 'okay, The left array is from here to here.', 'start': 784.58, 'duration': 2.935}, {'end': 789.156, 'text': 'The right array is from here to here.', 'start': 787.855, 'duration': 1.301}, {'end': 791.217, 'text': "We'll be using kind of pointers.", 'start': 789.476, 'duration': 1.741}, {'end': 795.64, 'text': "So let's understand the explanation in terms of pseudocode so that we can code.", 'start': 791.697, 'duration': 3.943}, {'end': 802.023, 'text': "So, before going to the pseudocode, let's understand how do we perform these couple of steps,", 'start': 796, 'duration': 6.023}, {'end': 807.526, 'text': 'using a bit of variables and code logic so that we can actually write the pseudocode.', 'start': 802.023, 'duration': 5.503}, {'end': 811.809, 'text': "So imagine you're given this particular array and you have to apply quick sort to it.", 'start': 807.947, 'duration': 3.862}, {'end': 813.21, 'text': 'And this is an unsorted array.', 'start': 811.949, 'duration': 1.261}, {'end': 817.412, 'text': "So, will you be carrying this entire array? Logically, it doesn't make sense.", 'start': 813.73, 'duration': 3.682}], 'summary': 'Using pointers to explain quick sort with low and high concept, avoiding building new arrays.', 'duration': 43.617, 'max_score': 773.795, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/WIrA4YexLRQ/pics/WIrA4YexLRQ773795.jpg'}], 'start': 713.727, 'title': 'Understanding quick sort algorithm', 'summary': 'Covers the process of picking a pivot, placing it in its correct place, and using pointers instead of building new arrays to perform quick sort, emphasizing the importance of understanding the algorithm in depth and using code logic to write the pseudocode.', 'chapters': [{'end': 817.412, 'start': 713.727, 'title': 'Understanding quick sort algorithm', 'summary': 'Covers the process of picking a pivot, placing it in its correct place, and using pointers instead of building new arrays to perform quick sort, emphasizing the importance of understanding the algorithm in depth and using code logic to write the pseudocode.', 'duration': 103.685, 'highlights': ['The chapter emphasizes the importance of understanding the algorithm in depth and using code logic to write the pseudocode.', 'The concept of low and high is used instead of building new arrays, employing pointers to explain the left and right arrays.', 'The process of picking a pivot, placing it in its correct place is explained, with smaller elements on the left and larger elements on the right.']}, {'end': 1079.546, 'start': 817.532, 'title': 'Quick sort algorithm', 'summary': 'Explains the quick sort algorithm, which involves pivoting elements in an array and swapping elements to arrange them in a sorted order, with an average time complexity of o(n log n).', 'duration': 262.014, 'highlights': ['The Quick Sort algorithm involves pivoting elements in an array and swapping elements to arrange them in a sorted order. The algorithm explained the process of pivoting elements in an array and swapping elements to arrange them in a sorted order.', 'The average time complexity of Quick Sort is O(n log n). The Quick Sort algorithm has an average time complexity of O(n log n), making it an efficient sorting method.']}], 'duration': 365.819, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/WIrA4YexLRQ/pics/WIrA4YexLRQ713727.jpg', 'highlights': ['The average time complexity of Quick Sort is O(n log n).', 'The process of picking a pivot, placing it in its correct place is explained, with smaller elements on the left and larger elements on the right.', 'The Quick Sort algorithm involves pivoting elements in an array and swapping elements to arrange them in a sorted order.', 'The concept of low and high is used instead of building new arrays, employing pointers to explain the left and right arrays.', 'The chapter emphasizes the importance of understanding the algorithm in depth and using code logic to write the pseudocode.']}, {'end': 1344.101, 'segs': [{'end': 1155.152, 'src': 'embed', 'start': 1079.546, 'weight': 0, 'content': [{'end': 1083.771, 'text': 'so if you see, what happens is one, three, two, four.', 'start': 1079.546, 'duration': 4.225}, {'end': 1085.353, 'text': "is that it's correct, please?", 'start': 1083.771, 'duration': 1.582}, {'end': 1092.902, 'text': "seven, nine, five, six, that's super simple, that's very simple, and we're done with this.", 'start': 1085.353, 'duration': 7.549}, {'end': 1095.944, 'text': "yes, that's, That is how easy it was.", 'start': 1092.902, 'duration': 3.042}, {'end': 1104.626, 'text': 'So, once you have placed your pivot at the correct index in the sorted array, can I call this as the partition index?', 'start': 1096.424, 'duration': 8.202}, {'end': 1107.307, 'text': 'Why can I call this as a partition index?', 'start': 1105.347, 'duration': 1.96}, {'end': 1108.388, 'text': 'Very simple.', 'start': 1107.787, 'duration': 0.601}, {'end': 1114.951, 'text': "The reason being, this is where it's at the correct order in the sorted array.", 'start': 1108.808, 'duration': 6.143}, {'end': 1119.752, 'text': 'This is not in the correct order and this is not in the correct order.', 'start': 1115.592, 'duration': 4.16}, {'end': 1121.153, 'text': "It's a kind of partition.", 'start': 1120.032, 'duration': 1.121}, {'end': 1125.253, 'text': 'Left is still to be done and the right is still to be done.', 'start': 1121.593, 'duration': 3.66}, {'end': 1127.254, 'text': 'So that is why you call it as a partition.', 'start': 1125.273, 'duration': 1.981}, {'end': 1132.375, 'text': 'So can I say, as of now, the low was pointed here and the high was pointed here.', 'start': 1127.694, 'duration': 4.681}, {'end': 1141.399, 'text': "Can I say the new array that you have to sort according to the same algorithm is from here to here, and it's from here to here.", 'start': 1132.855, 'duration': 8.544}, {'end': 1143.503, 'text': 'so can i see the new array?', 'start': 1141.399, 'duration': 2.104}, {'end': 1151.731, 'text': 'one array will be low to partition minus one, And the other array will be partition plus one comma high.', 'start': 1143.503, 'duration': 8.228}, {'end': 1155.152, 'text': 'This is where this array is this and this array is this.', 'start': 1152.311, 'duration': 2.841}], 'summary': 'Explanation of pivot indexing and partitioning in array sorting.', 'duration': 75.606, 'max_score': 1079.546, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/WIrA4YexLRQ/pics/WIrA4YexLRQ1079546.jpg'}, {'end': 1206.168, 'src': 'embed', 'start': 1176.804, 'weight': 3, 'content': [{'end': 1178.306, 'text': 'The pseudo code is going to be very simple.', 'start': 1176.804, 'duration': 1.502}, {'end': 1181.65, 'text': 'We say quick sort and we know it will be given an array.', 'start': 1178.887, 'duration': 2.763}, {'end': 1188.139, 'text': 'And we know the array, in the array, the array that we have to sort will be from low to high.', 'start': 1182.491, 'duration': 5.648}, {'end': 1190.644, 'text': 'That is something which we definitely know.', 'start': 1189.144, 'duration': 1.5}, {'end': 1194.825, 'text': 'And we know we will only sort the array if it has more than one elements.', 'start': 1191.184, 'duration': 3.641}, {'end': 1204.288, 'text': 'That means if low is lesser than high, because if low is equal to high, in that case, assume high is here, which means this is the array.', 'start': 1195.325, 'duration': 8.963}, {'end': 1206.168, 'text': 'One element is already sorted.', 'start': 1204.888, 'duration': 1.28}], 'summary': 'Pseudo code for quick sort: array sorted from low to high, sorts only if more than one element.', 'duration': 29.364, 'max_score': 1176.804, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/WIrA4YexLRQ/pics/WIrA4YexLRQ1176804.jpg'}, {'end': 1344.101, 'src': 'embed', 'start': 1321.648, 'weight': 5, 'content': [{'end': 1329.974, 'text': "even if you swap it like this, it's still okay because you have to sort the left and the right or the right and then the left any any way works,", 'start': 1321.648, 'duration': 8.326}, {'end': 1331.616, 'text': 'as long as you are sorting it.', 'start': 1329.974, 'duration': 1.642}, {'end': 1336.88, 'text': 'this is simple because the recursion will do its job, because recursion has been called for this.', 'start': 1331.616, 'duration': 5.264}, {'end': 1338.82, 'text': 'So again, it will do its job.', 'start': 1337.6, 'duration': 1.22}, {'end': 1339.761, 'text': 'Quite simple.', 'start': 1339.28, 'duration': 0.481}, {'end': 1341.901, 'text': 'But the question comes up.', 'start': 1340.281, 'duration': 1.62}, {'end': 1344.101, 'text': 'Okay, I understood till here.', 'start': 1342.381, 'duration': 1.72}], 'summary': 'Recursion simplifies sorting process, ensuring left and right are sorted.', 'duration': 22.453, 'max_score': 1321.648, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/WIrA4YexLRQ/pics/WIrA4YexLRQ1321648.jpg'}], 'start': 1079.546, 'title': 'Array partitioning and quick sort algorithm', 'summary': 'Covers array partitioning in sorting, focusing on placing the pivot index, partition index, and array division. it also explains the quick sort algorithm, including its intuition, algorithm, pseudo code, and emphasis on sorting using partition index and recursion.', 'chapters': [{'end': 1155.152, 'start': 1079.546, 'title': 'Array partitioning in sorting', 'summary': 'Explains the process of array partitioning in sorting, with the key points being the correct placement of the pivot index, the concept of partition index, and the division of the array into subarrays for further sorting.', 'duration': 75.606, 'highlights': ['The correct placement of the pivot index is crucial for array partitioning, ensuring the elements on the left and right are in the correct order.', 'The concept of partition index is significant as it marks the point where the array is in the correct order, serving as a partition between the left and right subarrays.', 'The division of the array into subarrays for further sorting is explained, with one subarray ranging from the low index to the partition index minus one, and the other ranging from the partition index plus one to the high index.']}, {'end': 1344.101, 'start': 1155.592, 'title': 'Quick sort algorithm', 'summary': 'Explains the quick sort algorithm, including the intuition, algorithm, and pseudo code, emphasizing the process of sorting an array using the partition index and recursion.', 'duration': 188.509, 'highlights': ['The pseudo code for quick sort involves sorting an array from low to high, only if it has more than one element, by finding the pivot, placing it at its correct place, and then sorting the left and right halves.', 'The partition index is crucial in determining the correct placement of the pivot and dividing the array for further sorting, exemplified by the process of sorting the left and right portions of the array based on the partition index.', 'Recursion plays a vital role in the quick sort algorithm, as it efficiently sorts the left and right portions of the array, regardless of the order, ensuring the overall array is completely sorted.']}], 'duration': 264.555, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/WIrA4YexLRQ/pics/WIrA4YexLRQ1079546.jpg', 'highlights': ['The correct placement of the pivot index is crucial for array partitioning, ensuring the elements on the left and right are in the correct order.', 'The concept of partition index is significant as it marks the point where the array is in the correct order, serving as a partition between the left and right subarrays.', 'The division of the array into subarrays for further sorting is explained, with one subarray ranging from the low index to the partition index minus one, and the other ranging from the partition index plus one to the high index.', 'The pseudo code for quick sort involves sorting an array from low to high, only if it has more than one element, by finding the pivot, placing it at its correct place, and then sorting the left and right halves.', 'The partition index is crucial in determining the correct placement of the pivot and dividing the array for further sorting, exemplified by the process of sorting the left and right portions of the array based on the partition index.', 'Recursion plays a vital role in the quick sort algorithm, as it efficiently sorts the left and right portions of the array, regardless of the order, ensuring the overall array is completely sorted.']}, {'end': 1734.054, 'segs': [{'end': 1374.812, 'src': 'embed', 'start': 1344.902, 'weight': 0, 'content': [{'end': 1348.382, 'text': "But how do we write the function? Let's understand how to write the function.", 'start': 1344.902, 'duration': 3.48}, {'end': 1352.203, 'text': "The function, remember, I'll write it with maybe a yellow.", 'start': 1349.003, 'duration': 3.2}, {'end': 1357.444, 'text': 'The function has taken an array and has taken a low and has taken a high.', 'start': 1352.923, 'duration': 4.521}, {'end': 1360.645, 'text': 'And you know it has to find a pivot.', 'start': 1359.345, 'duration': 1.3}, {'end': 1363.846, 'text': 'And in our case, the pivot is very simple.', 'start': 1361.385, 'duration': 2.461}, {'end': 1367.889, 'text': 'We were saying the pivot to be array of low, which is the first element.', 'start': 1364.588, 'duration': 3.301}, {'end': 1374.812, 'text': 'And what did we do at every step? If you remember, we first kept the i here and we kept the j here.', 'start': 1369.37, 'duration': 5.442}], 'summary': 'Explaining function writing process with array, low, high, and pivot', 'duration': 29.91, 'max_score': 1344.902, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/WIrA4YexLRQ/pics/WIrA4YexLRQ1344902.jpg'}, {'end': 1472.209, 'src': 'heatmap', 'start': 1439.923, 'weight': 0.751, 'content': [{'end': 1441.504, 'text': 'So this is a correct condition.', 'start': 1439.923, 'duration': 1.581}, {'end': 1448.127, 'text': "And obviously, I cannot exceed the array's boundary, which is definitely high.", 'start': 1442.024, 'duration': 6.103}, {'end': 1450.821, 'text': "It cannot exceed the array's boundary.", 'start': 1449.46, 'duration': 1.361}, {'end': 1454.402, 'text': "If that's the case, we say, okay, I++.", 'start': 1451.581, 'duration': 2.821}, {'end': 1460.744, 'text': "That means it keeps on going, keeps on going till it doesn't find an element greater.", 'start': 1455.362, 'duration': 5.382}, {'end': 1465.186, 'text': "So the moment it is at 6, the while loop will stop because that's where it has to.", 'start': 1461.064, 'duration': 4.122}, {'end': 1472.209, 'text': 'And similarly from the right, similarly from the right, we say array of j.', 'start': 1465.866, 'duration': 6.343}], 'summary': 'Iterate through array to find element greater than 6.', 'duration': 32.286, 'max_score': 1439.923, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/WIrA4YexLRQ/pics/WIrA4YexLRQ1439923.jpg'}, {'end': 1635.976, 'src': 'heatmap', 'start': 1586.525, 'weight': 1, 'content': [{'end': 1589.206, 'text': 'j is at here and lower is at here.', 'start': 1586.525, 'duration': 2.681}, {'end': 1596.648, 'text': "so at the end of the day, when this has this has crossed, we stop and we say okay, it's time for the pivot to come.", 'start': 1589.206, 'duration': 7.442}, {'end': 1597.809, 'text': "it's correct, please.", 'start': 1596.648, 'duration': 1.161}, {'end': 1605.337, 'text': 'so swap the pivot, which is the first element, with the array of j, which is the last element of the left index,', 'start': 1597.809, 'duration': 7.528}, {'end': 1608.24, 'text': 'which is the last element of the left index.', 'start': 1605.337, 'duration': 2.903}, {'end': 1613.567, 'text': 'you just swap it and this will come here and this will go here, quite simple.', 'start': 1608.24, 'duration': 5.327}, {'end': 1620.083, 'text': 'so eventually, what you will get is 3, 2, 1..', 'start': 1613.567, 'duration': 6.516}, {'end': 1621.645, 'text': 'Perfect Done.', 'start': 1620.083, 'duration': 1.562}, {'end': 1626.609, 'text': "So once you've done this, what do you need to do? You need to tell them the partition index.", 'start': 1622.225, 'duration': 4.384}, {'end': 1630.652, 'text': "And you know the index is nothing but j because that's where the pivot came in.", 'start': 1627.109, 'duration': 3.543}, {'end': 1632.193, 'text': 'So return j.', 'start': 1630.772, 'duration': 1.421}, {'end': 1633.494, 'text': 'This is how the function will look like.', 'start': 1632.193, 'duration': 1.301}, {'end': 1634.615, 'text': 'Quite simple.', 'start': 1634.034, 'duration': 0.581}, {'end': 1635.976, 'text': 'This is how the function will look like.', 'start': 1634.855, 'duration': 1.121}], 'summary': 'Swapping elements to find pivot and return partition index.', 'duration': 49.451, 'max_score': 1586.525, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/WIrA4YexLRQ/pics/WIrA4YexLRQ1586525.jpg'}], 'start': 1344.902, 'title': 'Pivot finding and partitioning in sorting algorithms', 'summary': 'Explains the process of finding the pivot in a sorting algorithm, involving steps of comparing elements, swapping, and iterating through the array, aiming to find elements greater and lesser than the pivot. it also covers the process of partitioning in the algorithm, highlighting the swapping of elements and the determination of the partition index, emphasizing its simplicity and efficiency.', 'chapters': [{'end': 1503.664, 'start': 1344.902, 'title': 'Pivot finding in sorting algorithm', 'summary': 'Explains the process of finding the pivot in a sorting algorithm, involving steps of comparing elements, swapping, and iterating through the array, aiming to find elements greater and lesser than the pivot.', 'duration': 158.762, 'highlights': ['The function takes an array, low, and high as input to find the pivot, with the pivot being the first element of the array.', 'It involves iterating through the array to find the first element greater than the pivot and the first element lesser than the pivot, stopping the iteration when i crosses j.', 'The while loops continue to iterate through the array until it finds elements greater and lesser than the pivot, using conditions to compare the elements and incrementing or decrementing the indexes accordingly.']}, {'end': 1734.054, 'start': 1504.124, 'title': 'Quick understanding of partitioning algori', 'summary': 'Explains the process of partitioning in the algorithm, highlighting the swapping of elements and the determination of the partition index, emphasizing its simplicity and efficiency.', 'duration': 229.93, 'highlights': ['The chapter emphasizes the simplicity and efficiency of the partitioning algorithm, highlighting the swapping of elements and the determination of the partition index.', 'The explanation includes a detailed walkthrough of the algorithm, illustrating the swapping process and the determination of the partition index based on the pivot element.', 'The speaker provides clear instructions on handling array boundaries and addressing the placement of elements equal to the pivot, ensuring a comprehensive understanding of the algorithm.']}], 'duration': 389.152, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/WIrA4YexLRQ/pics/WIrA4YexLRQ1344902.jpg', 'highlights': ['The function takes an array, low, and high as input to find the pivot, with the pivot being the first element of the array.', 'The chapter emphasizes the simplicity and efficiency of the partitioning algorithm, highlighting the swapping of elements and the determination of the partition index.', 'The explanation includes a detailed walkthrough of the algorithm, illustrating the swapping process and the determination of the partition index based on the pivot element.']}, {'end': 2107.469, 'segs': [{'end': 1822.965, 'src': 'embed', 'start': 1734.514, 'weight': 2, 'content': [{'end': 1736.215, 'text': 'i hope that does make sense.', 'start': 1734.514, 'duration': 1.701}, {'end': 1740.536, 'text': 'so i can say that we are done with the pseudocode and the dry run as well, because while i was writing the code,', 'start': 1736.215, 'duration': 4.321}, {'end': 1746.839, 'text': 'i was doing the dry run as well and going back to the recursive dryden for these couple of things.', 'start': 1740.536, 'duration': 6.303}, {'end': 1754.002, 'text': "i'll recommend you to watch my merge sort video, because in that i've explained how these couple of things, uh,", 'start': 1746.839, 'duration': 7.163}, {'end': 1756.743, 'text': 'split the arrays and how individual stuffs work.', 'start': 1754.002, 'duration': 2.741}, {'end': 1759.484, 'text': 'so just in case you are not aware how the recursion works,', 'start': 1756.743, 'duration': 2.741}, {'end': 1767.469, 'text': "merge saw tutorial is a classic example where i've done the entire dry run so that you understand recursion in depth,", 'start': 1760.064, 'duration': 7.405}, {'end': 1770.13, 'text': 'how sub problems are solved and everything.', 'start': 1767.469, 'duration': 2.661}, {'end': 1776.194, 'text': 'by the way, before moving, uh, to coding it in an online compiler, i just wanted to quickly tell you something.', 'start': 1770.13, 'duration': 6.064}, {'end': 1786.207, 'text': "this is a divide and conquer algorithm, because we're kind of dividing it and when you divide it, every part is getting solved by itself.", 'start': 1776.194, 'duration': 10.013}, {'end': 1789.534, 'text': "so that's why divide and then you conquer, basically solve.", 'start': 1786.207, 'duration': 3.327}, {'end': 1791.678, 'text': "so it's a divide and conquer algorithm.", 'start': 1789.534, 'duration': 2.144}, {'end': 1797.075, 'text': "coming into the online compiler, we'll be quickly coding the quick sort algorithm.", 'start': 1792.734, 'duration': 4.341}, {'end': 1799.716, 'text': 'by the way, the problem link is in the description.', 'start': 1797.075, 'duration': 2.641}, {'end': 1802.536, 'text': 'make sure you, uh, code it as well and submit.', 'start': 1799.716, 'duration': 2.82}, {'end': 1805.877, 'text': 'so, coming to over here, uh, we have to return a vector.', 'start': 1802.536, 'duration': 3.341}, {'end': 1808.338, 'text': 'so assume we have a quick sort.', 'start': 1805.877, 'duration': 2.461}, {'end': 1811.798, 'text': 'we say array is zero and array dot size minus one.', 'start': 1808.338, 'duration': 3.46}, {'end': 1815.44, 'text': 'at the end of the day we are returning the array itself because we have to return it.', 'start': 1811.798, 'duration': 3.642}, {'end': 1822.965, 'text': "and now let's write the void quick sort and vector, int and then array and then ind, low, ind, high.", 'start': 1815.44, 'duration': 7.525}], 'summary': 'Completed pseudocode and dry run for merge sort, explained recursion and divide-and-conquer concept, coding quick sort next.', 'duration': 88.451, 'max_score': 1734.514, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/WIrA4YexLRQ/pics/WIrA4YexLRQ1734514.jpg'}, {'end': 1949.854, 'src': 'heatmap', 'start': 1900.827, 'weight': 0.733, 'content': [{'end': 1906.212, 'text': 'and then we go on the same reason low plus one that we do not cross it.', 'start': 1900.827, 'duration': 5.385}, {'end': 1913.916, 'text': "and at the end of the day, if they haven't crossed, let's take the right guys, put them onto the left and take the left guys, put them onto the right.", 'start': 1906.212, 'duration': 7.704}, {'end': 1922.398, 'text': 'so swap of array of i, array of j, perfect at the end, once everything is done, we know j will be at the last of the left.', 'start': 1913.916, 'duration': 8.482}, {'end': 1930.14, 'text': "so swap the pivot, which is at array of low, with the last of the left and since the pivot goes to j, we say that's the partition index.", 'start': 1922.398, 'duration': 7.742}, {'end': 1931.7, 'text': "that's how you can write the partition.", 'start': 1930.14, 'duration': 1.56}, {'end': 1936.301, 'text': "once you've done this, you can quickly go and run this all right.", 'start': 1931.7, 'duration': 4.601}, {'end': 1938.402, 'text': "it's giving me time limit exceeded.", 'start': 1936.301, 'duration': 2.101}, {'end': 1938.962, 'text': 'why is that happening?', 'start': 1938.402, 'duration': 0.56}, {'end': 1943.029, 'text': "Because I've written less than equal to.", 'start': 1941.448, 'duration': 1.581}, {'end': 1943.97, 'text': 'it will be greater than equal to.', 'start': 1943.029, 'duration': 0.941}, {'end': 1945.211, 'text': 'My bad.', 'start': 1944.87, 'duration': 0.341}, {'end': 1946.391, 'text': 'It all passes.', 'start': 1945.691, 'duration': 0.7}, {'end': 1949.854, 'text': "Now quickly let's submit it and see if it's running absolutely fine.", 'start': 1946.492, 'duration': 3.362}], 'summary': 'Swapping elements to create partition index, rectifying code, and submitting for successful run.', 'duration': 49.027, 'max_score': 1900.827, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/WIrA4YexLRQ/pics/WIrA4YexLRQ1900827.jpg'}, {'end': 1936.301, 'src': 'embed', 'start': 1913.916, 'weight': 3, 'content': [{'end': 1922.398, 'text': 'so swap of array of i, array of j, perfect at the end, once everything is done, we know j will be at the last of the left.', 'start': 1913.916, 'duration': 8.482}, {'end': 1930.14, 'text': "so swap the pivot, which is at array of low, with the last of the left and since the pivot goes to j, we say that's the partition index.", 'start': 1922.398, 'duration': 7.742}, {'end': 1931.7, 'text': "that's how you can write the partition.", 'start': 1930.14, 'duration': 1.56}, {'end': 1936.301, 'text': "once you've done this, you can quickly go and run this all right.", 'start': 1931.7, 'duration': 4.601}], 'summary': 'Swap elements in array to find partition index.', 'duration': 22.385, 'max_score': 1913.916, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/WIrA4YexLRQ/pics/WIrA4YexLRQ1913916.jpg'}, {'end': 1986.321, 'src': 'embed', 'start': 1963.075, 'weight': 0, 'content': [{'end': 1971.257, 'text': "Why is it n log n? Again, for the same reason as merge sort because every time you're kind of splitting them into two halves.", 'start': 1963.075, 'duration': 8.182}, {'end': 1976.757, 'text': 'Now over here, the halves are for sure getting into like something and something.', 'start': 1971.637, 'duration': 5.12}, {'end': 1979.138, 'text': 'Then again, this is getting into something and something.', 'start': 1977.178, 'duration': 1.96}, {'end': 1986.321, 'text': "so it's kind of not getting equally split as in merge shot, but they're getting into a couple of halves.", 'start': 1979.958, 'duration': 6.363}], 'summary': 'The time complexity is n log n due to halves getting split multiple times.', 'duration': 23.246, 'max_score': 1963.075, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/WIrA4YexLRQ/pics/WIrA4YexLRQ1963075.jpg'}, {'end': 2087.195, 'src': 'embed', 'start': 2054.167, 'weight': 1, 'content': [{'end': 2061.132, 'text': 'so the time complexity is n, log n, and the space complexity is big of one, not taking recursive stack space into account.', 'start': 2054.167, 'duration': 6.965}, {'end': 2063.975, 'text': "so that's the time complexity and space complexity.", 'start': 2061.132, 'duration': 2.843}, {'end': 2069.719, 'text': 'so with this i can say i have wrapped up more shot as well and the couple of notes will be added very, very soon.', 'start': 2063.975, 'duration': 5.744}, {'end': 2074.764, 'text': 'so, guys, with this we complete step two of strivers a to z, dsa course.', 'start': 2069.719, 'duration': 5.045}, {'end': 2078.568, 'text': 'the next thing will be step three, where we will be starting with the arrays playlist.', 'start': 2074.764, 'duration': 3.804}, {'end': 2081.69, 'text': 'so, guys, i hope you have understood the quick sort algorithm in depth.', 'start': 2078.568, 'duration': 3.122}, {'end': 2087.195, 'text': "so just in case you did, please make sure you hit that like button and if you're new to our channel, what are you doing?", 'start': 2081.69, 'duration': 5.505}], 'summary': 'Time complexity: o(n log n), space complexity: o(1). completing step two of dsa course, moving on to arrays playlist.', 'duration': 33.028, 'max_score': 2054.167, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/WIrA4YexLRQ/pics/WIrA4YexLRQ2054167.jpg'}], 'start': 1734.514, 'title': 'Sorting algorithms', 'summary': 'Covers merge sort, including pseudocode and dry run, and discusses the quick sort algorithm, its implementation, time complexity of n log n, and space complexity of big of one.', 'chapters': [{'end': 1776.194, 'start': 1734.514, 'title': 'Merge sort dry run and recursion', 'summary': 'Covers the completion of pseudocode and dry run for merge sort, along with a recommendation to watch a tutorial for a deeper understanding of recursion and sub problem solving.', 'duration': 41.68, 'highlights': ['The completion of pseudocode and dry run for merge sort.', 'Recommendation to watch a merge sort tutorial for understanding recursion and sub problem solving.', 'Emphasizing the importance of understanding recursion before moving to coding.']}, {'end': 1936.301, 'start': 1776.194, 'title': 'Quick sort algorithm', 'summary': 'Discusses the divide and conquer algorithm for quick sort, providing an overview of the implementation of the algorithm using an online compiler and emphasizing the partitioning process and recursive calls for sorting the array.', 'duration': 160.107, 'highlights': ['The chapter emphasizes the divide and conquer algorithm for quick sort, highlighting the process of dividing the array and solving each part independently for efficient sorting.', 'The transcript discusses the implementation of the quick sort algorithm using an online compiler, emphasizing the need to code and submit the solution, providing a problem link for reference.', 'The detailed explanation of the quick sort algorithm involves returning a vector, initializing the array, and implementing the quick sort method with partitioning and recursive calls for sorting.', 'The transcript explains the partitioning process in quick sort, detailing the steps for finding the pivot, iterating through the array, and swapping elements to achieve the partition index for efficient sorting.']}, {'end': 2107.469, 'start': 1936.301, 'title': 'Quick sort time and space complexity', 'summary': "Discusses the time complexity of the quick sort algorithm, which is n log n, and the space complexity, which is big of one, not taking recursive stack space into account, wrapping up the quick sort module for the striver's a to z dsa course.", 'duration': 171.168, 'highlights': ['The time complexity of the quick sort algorithm is n log n, similar to merge sort, as the algorithm splits the elements into halves and performs recursive calls, resulting in n log n operations. The time complexity of the quick sort algorithm is n log n, similar to merge sort, as the algorithm splits the elements into halves and performs recursive calls, resulting in n log n operations.', "The space complexity of the quick sort algorithm is big of one, not taking recursive stack space into account, concluding the quick sort module for the Striver's A to Z DSA course. The space complexity of the quick sort algorithm is big of one, not taking recursive stack space into account, concluding the quick sort module for the Striver's A to Z DSA course.", "The next step in the Striver's A to Z DSA course will be the arrays playlist, and viewers are encouraged to like, subscribe, and comment 'understood' to indicate their comprehension. The next step in the Striver's A to Z DSA course will be the arrays playlist, and viewers are encouraged to like, subscribe, and comment 'understood' to indicate their comprehension."]}], 'duration': 372.955, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/WIrA4YexLRQ/pics/WIrA4YexLRQ1734514.jpg', 'highlights': ['The time complexity of the quick sort algorithm is n log n, similar to merge sort, as the algorithm splits the elements into halves and performs recursive calls, resulting in n log n operations.', "The space complexity of the quick sort algorithm is big of one, not taking recursive stack space into account, concluding the quick sort module for the Striver's A to Z DSA course.", 'The detailed explanation of the quick sort algorithm involves returning a vector, initializing the array, and implementing the quick sort method with partitioning and recursive calls for sorting.', 'The transcript explains the partitioning process in quick sort, detailing the steps for finding the pivot, iterating through the array, and swapping elements to achieve the partition index for efficient sorting.', 'The chapter emphasizes the divide and conquer algorithm for quick sort, highlighting the process of dividing the array and solving each part independently for efficient sorting.', 'The completion of pseudocode and dry run for merge sort.', 'Recommendation to watch a merge sort tutorial for understanding recursion and sub problem solving.', 'Emphasizing the importance of understanding recursion before moving to coding.', "The next step in the Striver's A to Z DSA course will be the arrays playlist, and viewers are encouraged to like, subscribe, and comment 'understood' to indicate their comprehension.", 'The transcript discusses the implementation of the quick sort algorithm using an online compiler, emphasizing the need to code and submit the solution, providing a problem link for reference.']}], 'highlights': ['The A2Z DSA course covers 456 modules and 400+ problems, ensuring readiness for any DS algorithms in any company worldwide.', 'The Quick Sort algorithm sorts the given data structure in an ascending order and allows for minor tweaks to sort it in a descending order.', "The algorithm's intuition is simple: pick a pivot and place every element in its correct position to sort the array.", 'The average time complexity of Quick Sort is O(n log n).', 'The correct placement of the pivot index is crucial for array partitioning, ensuring the elements on the left and right are in the correct order.', 'The function takes an array, low, and high as input to find the pivot, with the pivot being the first element of the array.', 'The time complexity of the quick sort algorithm is n log n, similar to merge sort, as the algorithm splits the elements into halves and performs recursive calls, resulting in n log n operations.', "The space complexity of the quick sort algorithm is big of one, not taking recursive stack space into account, concluding the quick sort module for the Striver's A to Z DSA course."]}