title
5.15 AVL Tree Deletion in Data structures | with Example | DSA Tutorials

description
In Today's Video I explained How to Delete Data from AVL Tree (with Example) DSA Full Course: https: https://www.youtube.com/playlist?list=PLdo5W4Nhv31bbKJzrsKfMpo_grxuLl8LU ****************************************** More Playlists: C Programming Course: https://www.youtube.com/playlist?list=PLdo5W4Nhv31a8UcMN9-35ghv8qyFWD9_S C++ Programming: https://www.youtube.com/playlist?list=PLdo5W4Nhv31YU5Wx1dopka58teWP9aCee Python Full Course: https://www.youtube.com/playlist?list=PLdo5W4Nhv31bZSiqiOL5ta39vSnBxpOPT Printing Pattern in C: https://www.youtube.com/playlist?list=PLdo5W4Nhv31Yu1igxTE2x0aeShbKtVcCy DAA Course: https://www.youtube.com/playlist?list=PLdo5W4Nhv31ZTn2P9vF02bkb3SC8uiUUn Placement Series: https://www.youtube.com/playlist?list=PLdo5W4Nhv31YvlDpJhvOYbM9Ap8UypgEy Dynamic Programming: https://www.youtube.com/playlist?list=PLdo5W4Nhv31aBrJE1WS4MR9LRfbmZrAQu Operating Systems: //www.youtube.com/playlist?list=PLdo5W4Nhv31a5ucW_S1K3-x6ztBRD-PNa DBMS: https://www.youtube.com/playlist?list=PLdo5W4Nhv31b33kF46f9aFjoJPOkdlsRc *************************************** Connect & Contact Me: Facebook: https://www.facebook.com/Jennys-Lectures-CSIT-Netjrf-316814368950701/ Quora: https://www.quora.com/profile/Jayanti-Khatri-Lamba Instagram: https://www.instagram.com/jayantikhatrilamba/ #avltree #jennyslectures #avltreedeletion #datastructures

detail
{'title': '5.15 AVL Tree Deletion in Data structures | with Example | DSA Tutorials', 'heatmap': [{'end': 549.371, 'start': 532.653, 'weight': 1}], 'summary': 'Tutorial covers the process of deleting data from avl trees, emphasizing the need to maintain balance factors within the range of -1, 0, or 1 after deletion and illustrating the steps involved in node deletion from binary search and avl trees.', 'chapters': [{'end': 115.235, 'segs': [{'end': 64.123, 'src': 'embed', 'start': 40.11, 'weight': 0, 'content': [{'end': 47.733, 'text': 'second is the balance factor of each and every node should be either minus 1, 0 or 1, and balance factor is to be created.', 'start': 40.11, 'duration': 7.623}, {'end': 57.137, 'text': 'how, height of left subtree minus height of right subtree, or maybe somewhere it is also written height of right subtree minus height of left subtree.', 'start': 47.733, 'duration': 9.404}, {'end': 58.978, 'text': 'fine, okay.', 'start': 57.137, 'duration': 1.841}, {'end': 64.123, 'text': 'so when you delete the data from avial tree, you need to keep in mind two things.', 'start': 58.978, 'duration': 5.145}], 'summary': 'Avl tree nodes must have balance factors of -1, 0, or 1; consider balance factor when deleting.', 'duration': 24.013, 'max_score': 40.11, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/LXdi_4kSd1o/pics/LXdi_4kSd1o40110.jpg'}], 'start': 0.489, 'title': 'Deleting data from avl tree', 'summary': 'Covers the process of deleting data from an avl tree and emphasizes the need to maintain balance factor within the range of -1, 0, or 1 after deletion, requiring avl rotations if necessary.', 'chapters': [{'end': 115.235, 'start': 0.489, 'title': 'Deleting data from avl tree', 'summary': 'Covers the process of deleting data from an avl tree and emphasizes the need to maintain balance factor within the range of -1, 0, or 1 after deletion, requiring avl rotations if necessary.', 'duration': 114.746, 'highlights': ['The process of deleting data from an AVL tree involves ensuring the balance factor of each node is within the range of -1, 0, or 1, necessitating AVL rotations if it exceeds these values.', 'Prioritizing the necessity to maintain balance factor within the range of -1, 0, or 1 after deletion to ensure the tree remains balanced.', 'The importance of checking the balance factor of each node after data deletion, highlighting the need for AVL rotations if the balance factor falls outside the range of -1, 0, or 1.', 'The significance of maintaining balance factor within the range of -1, 0, or 1 post-deletion to prevent imbalance in the AVL tree.']}], 'duration': 114.746, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/LXdi_4kSd1o/pics/LXdi_4kSd1o489.jpg', 'highlights': ['The process of deleting data from an AVL tree involves ensuring the balance factor of each node is within the range of -1, 0, or 1, necessitating AVL rotations if it exceeds these values.', 'The importance of checking the balance factor of each node after data deletion, highlighting the need for AVL rotations if the balance factor falls outside the range of -1, 0, or 1.', 'Prioritizing the necessity to maintain balance factor within the range of -1, 0, or 1 after deletion to ensure the tree remains balanced.', 'The significance of maintaining balance factor within the range of -1, 0, or 1 post-deletion to prevent imbalance in the AVL tree.']}, {'end': 370.525, 'segs': [{'end': 173.524, 'src': 'embed', 'start': 115.235, 'weight': 0, 'content': [{'end': 118.117, 'text': 'suppose, first of all, you want to delete this 8.', 'start': 115.235, 'duration': 2.882}, {'end': 124.277, 'text': 'okay, find out where is 8, for 8 is, see, this avial tree is first of all BST.', 'start': 118.117, 'duration': 6.16}, {'end': 125.678, 'text': 'so how to find out 8.', 'start': 124.277, 'duration': 1.401}, {'end': 126.92, 'text': 'compare with this root.', 'start': 125.678, 'duration': 1.242}, {'end': 128.3, 'text': '8 is less than 14.', 'start': 126.92, 'duration': 1.38}, {'end': 129.162, 'text': 'go to the left part.', 'start': 128.3, 'duration': 0.862}, {'end': 130.423, 'text': '8 is less than 11.', 'start': 129.162, 'duration': 1.261}, {'end': 132.044, 'text': 'go to the left part.', 'start': 130.423, 'duration': 1.621}, {'end': 132.755, 'text': 'here is 7.', 'start': 132.044, 'duration': 0.711}, {'end': 133.466, 'text': '8 is greater than 7.', 'start': 132.755, 'duration': 0.711}, {'end': 134.206, 'text': 'so here is 8.', 'start': 133.466, 'duration': 0.74}, {'end': 137.529, 'text': 'yeah, we have found this 8.', 'start': 134.206, 'duration': 3.323}, {'end': 138.991, 'text': 'now how to delete?', 'start': 137.529, 'duration': 1.462}, {'end': 142.214, 'text': 'see, deletion would be same as in BST.', 'start': 138.991, 'duration': 3.223}, {'end': 147.089, 'text': 'fine, so this node is having no child.', 'start': 143.186, 'duration': 3.903}, {'end': 148.991, 'text': 'it is leaf node directly.', 'start': 147.089, 'duration': 1.902}, {'end': 151.373, 'text': 'you can delete this node.', 'start': 148.991, 'duration': 2.382}, {'end': 154.035, 'text': 'fine, like this.', 'start': 151.373, 'duration': 2.662}, {'end': 160.861, 'text': 'okay, and after deletion of this 8, the tree would be something like this we have already.', 'start': 154.035, 'duration': 6.826}, {'end': 163.922, 'text': 'we have deleted this 8.', 'start': 160.861, 'duration': 3.061}, {'end': 165.222, 'text': "now it's not like that.", 'start': 163.922, 'duration': 1.3}, {'end': 168.103, 'text': 'check out the next number and delete 7.', 'start': 165.222, 'duration': 2.881}, {'end': 173.524, 'text': 'second thing is, you need to check out the balance factor of each node again.', 'start': 168.103, 'duration': 5.421}], 'summary': 'Demonstration of deleting a node in a bst and tree rebalancing', 'duration': 58.289, 'max_score': 115.235, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/LXdi_4kSd1o/pics/LXdi_4kSd1o115235.jpg'}, {'end': 370.525, 'src': 'embed', 'start': 229.209, 'weight': 3, 'content': [{'end': 231.211, 'text': 'Fine Now we have to delete this number.', 'start': 229.209, 'duration': 2.002}, {'end': 231.731, 'text': 'Now check out.', 'start': 231.251, 'duration': 0.48}, {'end': 234.633, 'text': 'Is this number is having any children? Yes.', 'start': 232.172, 'duration': 2.461}, {'end': 236.134, 'text': 'This is having one child.', 'start': 234.673, 'duration': 1.461}, {'end': 238.216, 'text': 'That is left child.', 'start': 236.795, 'duration': 1.421}, {'end': 242.099, 'text': '4 Now how to delete this 7? You will..', 'start': 238.716, 'duration': 3.383}, {'end': 247.533, 'text': 'Replace the 7 with its child, either its left or right child.', 'start': 243.132, 'duration': 4.401}, {'end': 249.953, 'text': 'If there is one child, then there would be no problem.', 'start': 247.873, 'duration': 2.08}, {'end': 255.534, 'text': 'Fine Whatever child is left or right, you would replace the deleted node from his child.', 'start': 250.293, 'duration': 5.241}, {'end': 260.695, 'text': 'Fine So, when we will delete this 7, then the tree would be 14.', 'start': 256.173, 'duration': 4.522}, {'end': 264.676, 'text': 'See, this right part would be as it is.', 'start': 260.695, 'duration': 3.981}, {'end': 268.956, 'text': 'This would be unaffected part of this tree.', 'start': 265.296, 'duration': 3.66}, {'end': 272.417, 'text': 'Only the affected part is this, the left subtree.', 'start': 269.416, 'duration': 3.001}, {'end': 275.273, 'text': 'So 11 is as it is.', 'start': 273.772, 'duration': 1.501}, {'end': 281.038, 'text': 'When you delete this 7, fine, then directly 4 will be linked with this 11.', 'start': 275.333, 'duration': 5.705}, {'end': 284.601, 'text': 'Or you can say this 7 would be replaced with this 4.', 'start': 281.038, 'duration': 3.563}, {'end': 294.063, 'text': 'Now 11, here we have 4, right side of 11 is 12 and here we have 13.', 'start': 284.601, 'duration': 9.462}, {'end': 295.543, 'text': 'Now, next is see.', 'start': 294.063, 'duration': 1.48}, {'end': 300.467, 'text': 'next is 11, but you cannot directly delete this 11 after deletion.', 'start': 295.543, 'duration': 4.924}, {'end': 305.15, 'text': 'next task is what you have to check out the balance factor of each node.', 'start': 300.467, 'duration': 4.683}, {'end': 308.724, 'text': 'Now see balance factor.', 'start': 307.003, 'duration': 1.721}, {'end': 310.124, 'text': 'of this, 4 is 0,.', 'start': 308.724, 'duration': 1.4}, {'end': 311.495, 'text': '13 is 0,.', 'start': 310.124, 'duration': 1.371}, {'end': 316.188, 'text': '12 is 0, minus 1, minus 1, for 11, it is 1, minus 2.', 'start': 311.495, 'duration': 4.693}, {'end': 327.754, 'text': 'that is minus 1, and if this part was unaffected, the balance factor would be same, like 0, 0, 0, 0, here is 1, here we have 0, and here we have, see,', 'start': 316.188, 'duration': 11.566}, {'end': 328.835, 'text': 'this would be affected.', 'start': 327.754, 'duration': 1.081}, {'end': 333.338, 'text': 'sorry, the height of left subtree is now one and two.', 'start': 329.895, 'duration': 3.443}, {'end': 334.479, 'text': "it's not like one and two.", 'start': 333.338, 'duration': 1.141}, {'end': 336.221, 'text': 'you are supposed to check the height.', 'start': 334.479, 'duration': 1.742}, {'end': 343.807, 'text': 'you are supposed to go to the leaf node and height up to leaf node is one, two and three fine.', 'start': 336.221, 'duration': 7.586}, {'end': 345.769, 'text': 'three minus one, two, three.', 'start': 343.807, 'duration': 1.962}, {'end': 348.191, 'text': 'that is three minus three, zero.', 'start': 345.769, 'duration': 2.422}, {'end': 350.253, 'text': 'still this three is balanced.', 'start': 348.191, 'duration': 2.062}, {'end': 352.295, 'text': 'okay, no need to balance it out.', 'start': 350.253, 'duration': 2.042}, {'end': 354.737, 'text': 'next you have to delete is eleven.', 'start': 352.295, 'duration': 2.442}, {'end': 355.918, 'text': 'now find out where is eleven.', 'start': 354.737, 'duration': 1.181}, {'end': 360.018, 'text': '11. is this node?', 'start': 357.977, 'duration': 2.041}, {'end': 361.92, 'text': 'this one you have to delete now.', 'start': 360.018, 'duration': 1.902}, {'end': 362.74, 'text': 'now check it out.', 'start': 361.92, 'duration': 0.82}, {'end': 366.242, 'text': 'this node deletion would be same as in bst.', 'start': 362.74, 'duration': 3.502}, {'end': 370.525, 'text': 'this node is having two children one is left and one is right.', 'start': 366.242, 'duration': 4.283}], 'summary': 'Deleting nodes in a tree, checking balance factors of each node, and proceeding with deletion based on the balance factor.', 'duration': 141.316, 'max_score': 229.209, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/LXdi_4kSd1o/pics/LXdi_4kSd1o229209.jpg'}], 'start': 115.235, 'title': 'Deleting nodes in binary trees', 'summary': 'Covers the process of deleting nodes from binary search trees and avl trees, emphasizing the significance of maintaining balance factors and illustrating the steps involved in node deletion.', 'chapters': [{'end': 229.209, 'start': 115.235, 'title': 'Binary search tree deletion', 'summary': 'Discusses the process of deleting nodes from a binary search tree, illustrating the steps involved and emphasizing the importance of checking the balance factor of each node after deletion.', 'duration': 113.974, 'highlights': ['The process of deleting nodes from a binary search tree is explained, emphasizing the comparison of values with the root node and the subsequent steps involved.', 'The importance of checking the balance factor of each node after deletion is highlighted, with specific examples of balance factors provided for different nodes in the tree.', "The concept of identifying and deleting leaf nodes, as well as the subsequent impact on the tree's structure and balance, is discussed in detail."]}, {'end': 316.188, 'start': 229.209, 'title': 'Deleting nodes in binary tree', 'summary': 'Discusses the process of deleting nodes in a binary tree, showcasing the steps and impact of deleting a node, and emphasizing the importance of checking the balance factor of each node after deletion.', 'duration': 86.979, 'highlights': ['When deleting a node with one child, there would be no problem, and the deleted node would be replaced by its child.', 'After deleting a node, the unaffected part of the tree remains the same, while the affected part is the subtree of the deleted node.', 'The balance factor of each node needs to be checked after deletion, with examples showing balance factors for different nodes.']}, {'end': 370.525, 'start': 316.188, 'title': 'Avl tree balancing', 'summary': 'Explains the process of balancing an avl tree by deletion, emphasizing the importance of maintaining balance factors and highlighting the steps for deleting a node with two children.', 'duration': 54.337, 'highlights': ['The height of left subtree is now one and two, and the height up to leaf node is one, two, and three.', 'The balance factor of the node with a height of three is still balanced at zero, indicating no need for further balancing.', 'The chapter outlines the process of deleting a node with two children in an AVL tree, highlighting the similarities with the process in a binary search tree.']}], 'duration': 255.29, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/LXdi_4kSd1o/pics/LXdi_4kSd1o115235.jpg', 'highlights': ['The process of deleting nodes from a binary search tree is explained, emphasizing the comparison of values with the root node and the subsequent steps involved.', 'The importance of checking the balance factor of each node after deletion is highlighted, with specific examples of balance factors provided for different nodes in the tree.', "The concept of identifying and deleting leaf nodes, as well as the subsequent impact on the tree's structure and balance, is discussed in detail.", 'When deleting a node with one child, there would be no problem, and the deleted node would be replaced by its child.', 'After deleting a node, the unaffected part of the tree remains the same, while the affected part is the subtree of the deleted node.', 'The balance factor of each node needs to be checked after deletion, with examples showing balance factors for different nodes.', 'The height of left subtree is now one and two, and the height up to leaf node is one, two, and three.', 'The balance factor of the node with a height of three is still balanced at zero, indicating no need for further balancing.', 'The chapter outlines the process of deleting a node with two children in an AVL tree, highlighting the similarities with the process in a binary search tree.']}, {'end': 900.805, 'segs': [{'end': 423.589, 'src': 'embed', 'start': 370.525, 'weight': 0, 'content': [{'end': 378.43, 'text': 'now the node, this node being deleted, will be replaced with which of its children, left or right.', 'start': 370.525, 'duration': 7.905}, {'end': 379.39, 'text': 'you have to check it out.', 'start': 378.43, 'duration': 0.96}, {'end': 381.171, 'text': 'and here we have two cases.', 'start': 379.39, 'duration': 1.781}, {'end': 386.215, 'text': 'you can replace this node with its inorder predecessor or with its inorder successor.', 'start': 381.171, 'duration': 5.044}, {'end': 388.116, 'text': 'inorder predecessor, kaise find out?', 'start': 386.215, 'duration': 1.901}, {'end': 388.536, 'text': 'karte hain?', 'start': 388.116, 'duration': 0.42}, {'end': 393.519, 'text': 'inorder predecessor would be see predecessor means just pehle uske fine.', 'start': 388.536, 'duration': 4.983}, {'end': 400.403, 'text': 'inorder predecessor would be the largest element from the left subtree of the node being deleted.', 'start': 393.519, 'duration': 6.884}, {'end': 408.488, 'text': 'fine, and in order successor would be the smallest element from the right subtree of this node.', 'start': 400.403, 'duration': 8.085}, {'end': 413.451, 'text': 'fine. so we will suppose replace the this node with its in order predecessor.', 'start': 408.488, 'duration': 4.963}, {'end': 416.993, 'text': 'we will just take one case.', 'start': 413.451, 'duration': 3.542}, {'end': 423.589, 'text': 'then, after deletion of 11, the tree would be here we have 14.', 'start': 416.993, 'duration': 6.596}], 'summary': 'Replace a node with its inorder predecessor or successor.', 'duration': 53.064, 'max_score': 370.525, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/LXdi_4kSd1o/pics/LXdi_4kSd1o370525.jpg'}, {'end': 572.436, 'src': 'heatmap', 'start': 532.653, 'weight': 2, 'content': [{'end': 535.014, 'text': 'Now we are working with this part only.', 'start': 532.653, 'duration': 2.361}, {'end': 538.416, 'text': 'Now we have already discussed the avial rotations.', 'start': 535.454, 'duration': 2.962}, {'end': 545.861, 'text': 'Which case is this? See this right and right are our rotations.', 'start': 538.796, 'duration': 7.065}, {'end': 549.371, 'text': 'fine and how this can be balanced.', 'start': 546.63, 'duration': 2.741}, {'end': 551.711, 'text': 'RR rotation.', 'start': 549.371, 'duration': 2.34}, {'end': 556.792, 'text': 'we just do one left rotation.', 'start': 551.711, 'duration': 5.081}, {'end': 562.013, 'text': 'by doing one left rotation you can balance out this one and how this left rotation would be done.', 'start': 556.792, 'duration': 5.221}, {'end': 564.694, 'text': 'this is left rotation.', 'start': 562.013, 'duration': 2.681}, {'end': 567.335, 'text': 'see, this node is unbalanced.', 'start': 564.694, 'duration': 2.641}, {'end': 569.735, 'text': 'now you can see this node is critical.', 'start': 567.335, 'duration': 2.4}, {'end': 572.436, 'text': 'so you just pull down this.', 'start': 569.735, 'duration': 2.701}], 'summary': 'Discussion of balancing a critical unbalanced node using left rotation.', 'duration': 33.64, 'max_score': 532.653, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/LXdi_4kSd1o/pics/LXdi_4kSd1o532653.jpg'}, {'end': 650.773, 'src': 'embed', 'start': 610.937, 'weight': 4, 'content': [{'end': 613.478, 'text': 'Here we would have 13.', 'start': 610.937, 'duration': 2.541}, {'end': 615.959, 'text': 'And here we would have 4.', 'start': 613.478, 'duration': 2.481}, {'end': 618.98, 'text': 'By this left rotation, we will pull down this 4.', 'start': 615.959, 'duration': 3.021}, {'end': 619.801, 'text': '12 would go up.', 'start': 618.98, 'duration': 0.821}, {'end': 622.322, 'text': 'This is now the left subtree.', 'start': 620.361, 'duration': 1.961}, {'end': 624.823, 'text': 'And the right is same.', 'start': 622.382, 'duration': 2.441}, {'end': 625.703, 'text': '19 we would have.', 'start': 624.843, 'duration': 0.86}, {'end': 627.203, 'text': 'Here we would have 53.', 'start': 626.323, 'duration': 0.88}, {'end': 633.181, 'text': '60 20.', 'start': 627.203, 'duration': 5.978}, {'end': 637.81, 'text': '17 and 16.', 'start': 633.182, 'duration': 4.628}, {'end': 645.612, 'text': 'fine. now see, before deleting this 14, check out the balance factor of each and every node.', 'start': 637.81, 'duration': 7.802}, {'end': 650.773, 'text': 'is this now balanced tree because we have this rr rotation?', 'start': 645.612, 'duration': 5.161}], 'summary': 'Performing left rotation resulted in rebalanced tree with new node values.', 'duration': 39.836, 'max_score': 610.937, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/LXdi_4kSd1o/pics/LXdi_4kSd1o610937.jpg'}, {'end': 899.625, 'src': 'embed', 'start': 873.699, 'weight': 5, 'content': [{'end': 878.901, 'text': 'second step is, after deletion, check out the balance factor of each node.', 'start': 873.699, 'duration': 5.202}, {'end': 881.679, 'text': 'if tree is balanced, Then you can proceed.', 'start': 878.901, 'duration': 2.778}, {'end': 882.86, 'text': 'You can delete the next number.', 'start': 881.719, 'duration': 1.141}, {'end': 883.94, 'text': 'If tree is unbalanced.', 'start': 882.9, 'duration': 1.04}, {'end': 886.501, 'text': 'You have to check out which rotation is there.', 'start': 883.96, 'duration': 2.541}, {'end': 889.041, 'text': 'By which rotation you can balance it out.', 'start': 887.401, 'duration': 1.64}, {'end': 891.062, 'text': 'If tree is unbalanced after deletion.', 'start': 889.622, 'duration': 1.44}, {'end': 892.863, 'text': 'Then balance out that tree first.', 'start': 891.102, 'duration': 1.761}, {'end': 895.823, 'text': 'Then you can proceed with your deletion.', 'start': 893.343, 'duration': 2.48}, {'end': 899.625, 'text': 'Okay So I will see you in the next video.', 'start': 897.084, 'duration': 2.541}], 'summary': 'After deletion, check balance factor; if unbalanced, apply rotation to balance tree before proceeding with deletion.', 'duration': 25.926, 'max_score': 873.699, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/LXdi_4kSd1o/pics/LXdi_4kSd1o873699.jpg'}], 'start': 370.525, 'title': 'Node and avl tree operations', 'summary': 'Discusses node replacement in a binary tree and avl tree deletion process, including maintaining balance factors and achieving a balanced tree through rotations.', 'chapters': [{'end': 685.182, 'start': 370.525, 'title': 'Node replacement in binary tree', 'summary': 'Discusses the replacement of a node in a binary tree with its inorder predecessor or successor, along with the balancing of the tree through rotations, resulting in a balanced tree with a balance factor of 0 for each node.', 'duration': 314.657, 'highlights': ['The chapter emphasizes the process of replacing a node in a binary tree with its inorder predecessor or successor, providing a clear understanding of the concepts and steps involved.', 'The discussion on balancing the tree through rotations, particularly the RR rotation, highlights the importance of maintaining a balanced tree with a balance factor of 0 for each node.', "The detailed explanation of the left rotation and its impact on the tree's balance provides valuable insights into the process of balancing a binary tree."]}, {'end': 900.805, 'start': 685.182, 'title': 'Avl tree deletion process', 'summary': "Explains the process of deleting nodes in an avl tree, including finding in order predecessor or successor, checking balance factors, and maintaining the tree's balance by rotations.", 'duration': 215.623, 'highlights': ['The process involves replacing a deleted node in an AVL tree with either its in order predecessor or successor, based on the left or right subtree, respectively.', 'Identifying the in order predecessor involves finding the largest element in the left subtree of the deleted node, while the in order successor involves finding the smallest element in the right subtree.', 'After deletion, checking the balance factor of each node is crucial, and an unbalanced tree requires identifying the necessary rotation to restore balance before proceeding with further deletions.']}], 'duration': 530.28, 'thumbnail': 'https://coursnap.oss-ap-southeast-1.aliyuncs.com/video-capture/LXdi_4kSd1o/pics/LXdi_4kSd1o370525.jpg', 'highlights': ['The chapter emphasizes the process of replacing a node in a binary tree with its inorder predecessor or successor, providing a clear understanding of the concepts and steps involved.', 'The process involves replacing a deleted node in an AVL tree with either its in order predecessor or successor, based on the left or right subtree, respectively.', 'The discussion on balancing the tree through rotations, particularly the RR rotation, highlights the importance of maintaining a balanced tree with a balance factor of 0 for each node.', 'Identifying the in order predecessor involves finding the largest element in the left subtree of the deleted node, while the in order successor involves finding the smallest element in the right subtree.', "The detailed explanation of the left rotation and its impact on the tree's balance provides valuable insights into the process of balancing a binary tree.", 'After deletion, checking the balance factor of each node is crucial, and an unbalanced tree requires identifying the necessary rotation to restore balance before proceeding with further deletions.']}], 'highlights': ['The process of deleting data from an AVL tree involves ensuring the balance factor of each node is within the range of -1, 0, or 1, necessitating AVL rotations if it exceeds these values.', 'The importance of checking the balance factor of each node after data deletion, highlighting the need for AVL rotations if the balance factor falls outside the range of -1, 0, or 1.', 'The process of deleting nodes from a binary search tree is explained, emphasizing the comparison of values with the root node and the subsequent steps involved.', "The concept of identifying and deleting leaf nodes, as well as the subsequent impact on the tree's structure and balance, is discussed in detail.", 'The chapter emphasizes the process of replacing a node in a binary tree with its inorder predecessor or successor, providing a clear understanding of the concepts and steps involved.', 'The discussion on balancing the tree through rotations, particularly the RR rotation, highlights the importance of maintaining a balanced tree with a balance factor of 0 for each node.']}