From 6e58c0ef0afd7c513be9a76bf6e0a9055af3412f Mon Sep 17 00:00:00 2001 From: trucdev Date: Mon, 18 Nov 2024 18:49:21 -0600 Subject: [PATCH] add content for heap --- DataStructure/17_Heap/README.md | 4 ++++ DataStructure/17_Heap/images/heapify.png | Bin 0 -> 911856 bytes 2 files changed, 4 insertions(+) create mode 100644 DataStructure/17_Heap/images/heapify.png diff --git a/DataStructure/17_Heap/README.md b/DataStructure/17_Heap/README.md index 54a19fa..53ab8c5 100644 --- a/DataStructure/17_Heap/README.md +++ b/DataStructure/17_Heap/README.md @@ -2,6 +2,8 @@ The `heapify` function is used to maintain the heap property in a binary tree. It plays a crucial role in building max-heaps and min-heaps, which are fundamental structures for algorithms like heap sort. +- [Heap Sort Algorithm](https://algostructure.com/sorting/heapsort.php) + ### `heapify` Function `heapify` ensures that a subtree with a given node as the root satisfies the heap property. If the subtree violates the heap property, the function rearranges the nodes so that the subtree becomes a valid max-heap or min-heap. @@ -57,6 +59,8 @@ For a min-heap, `heapify` ensures that each node is less than or equal to its ch 3. If the heap property is violated, swap the node with the largest (max-heap) or smallest (min-heap) of its children. 4. Recursively apply `heapify` to the affected subtree. +![heapify](./images/heapify.png) + ### Visualizing the Max-Heap Initial tree before heapifying: ``` diff --git a/DataStructure/17_Heap/images/heapify.png b/DataStructure/17_Heap/images/heapify.png new file mode 100644 index 0000000000000000000000000000000000000000..d0b524c3184adad4719b59868a98a92d991f4fb0 GIT binary patch literal 911856 zcmZ^~1zc3$_P~pxpwggpr${*-c-9AOx5?FFZ_9VY3zp0pQ&8~pHQf0)dX0i%?nAuuaCi&yE zfCazZ0Jp`~OXTq)(#>Y086U4XNhsyd$9H%*)g9~d?-xa#oxJ=y;?MB!v*LTb?4iNr zA(xh1@w#144|h(uA1AMi66OudonAT&P)6gfl^z&sh&TyEEBBy(!wo`U!ef4OS|LS_eDNGNC7t+&MYmH!sSGso}wffcKF2-o z4FltAMDldH&3h~O7rkX6Cn#rYr%Rl~Y_Vm2B!;~mB=|#COuo1~$2J^Nr_4zf%TNL4 z%A}Bz-uy{SmnPEgwQC(Bdw*Y!4^AoZAV5P(y`5nY%}7)^m&BU?gz*`xR&1yt{@ha^ zEz{Arn)a5|;_y-B{Kyw5t83*NoVO1QmLUst74JvcPN#f!evg*x8d;g+$Xnj!+++FJ zb?-p&8_OOG>dk%>CoYva^-*W{PFt-o=E;g&h{_frrPf|SqkZ6CRE*WBi3L+ z&z;K>#X}^_&B?{3YgkzXwNhlw`F|$F8yrU&Kz9{#UtG+d%1g|?!TWaoj^WUE;&>ZqXCo`MyaW73}{CdHJ&R*4@V!L-+MNqf{iY 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