reduced (the last number is removed), and then the first number is adjusted downwards, the largest number is the last. Until there is only one number in the heap.The process of building the heap is from the last non-leaf node until the node is adjusted downwards. Let's say we're going to sort in ascending order. That is, when the downward adjustment, the small swap to the parent node.650) this.width=650; "
Select Sortthought: Each trip selects the lowest-keyword record from the sequence of records to be sorted and places it in the top position of the sorted table until all rows are completed. key issue: Find the minimum key code record in the remaining sequence of records to be sorted. Method:– Direct selection of sorting– Heap sorting(1) Simple selection of sorting1, the basic idea: in the group of numbers to be sorted, select the smallest number and t
intlargest_index=index;104 while((2*present+1) //judge whether there is a son the if(array[2*present+1]>largest) {106Largest=array[2*present+1];107Largest_index=2*present+1;108 }109 if((2*present+2) largest) { theLargest=array[2*present+2];111Largest_index=2*present+2; the }113 if(largest_index!=present) { thearray[present]=largest; thePresent=Largest_index; thelargest=value;117}Else{118 Break;119 } - }121array[present]=value;122}123 124 the 126 /
The basic idea of choosing a sort
Each trip selects the smallest record of the keyword from the record to be sorted, placing the order at the end of the ordered sub-file, knowing that all records are sorted. There are two main options for sorting: Direct selection of sort (or simple selection sort) and heap so
if(temp >= h->elements[child]) Break;ElseH->elements[parent] = h->elements[child];//Move the temp element to the next layer} H->elements[parent] = temp;returnMaxItem;}Select SortThe basic idea of choosing a sort (Selection sort) is that each trip selects the record with the lowest keyword in the n-i+1 (i=1,2,..., n-1) record as the first record in the ordered sequence.Simple selection
child nodes are always smaller than the parent nodesCreate maximum heap (build-max-heap): Reorder all data in the heap so that it becomes the largest heapHeap sort (heap-sort): Removes the root node of the first data and does the
Heap sorting is a sort of selection, with a time complexity of O (Nlogn).Definition of a heapThe sequence of n elements, {k1,k2,...,kn}, is called a heap when and only if one of the following relationships is met.Case 1:ki minimized heap or small top heap )Case 2:ki >= k2i a
Heap sorting is a sort of selection, with a time complexity of O (Nlogn).Definition of a heapThe sequence of n elements, {k1,k2,...,kn}, is called a heap when and only if one of the following relationships is met.Case 1:ki minimized heap or small top heap )Case 2:ki >= k2i
Eight sort algorithms that must be known [java Implementation] (3) Merge sort algorithms and Heap Sort Algorithms
I. Merge Sorting Algorithm
Basic Idea:
The Merge Sorting method combines two (or more) ordered tables into a new ordered table, that is, the sequence to be sorted is divided into several subsequences, each
step 2
2. The child node labeled largest is Array[i], and the subtree with its root may violate the nature of the heap, so perform step 1 on the subtree.
In the following function, I use Heap_type to indicate whether the heap is the largest heap or the smallest heap, and perform different operations accordingly.
Temp
Heap sorting is called the heap sort, but it has no actual relationship with the heap in memory. On the algorithm, heap ordering is generally implemented in the form of arrays, that is, binary heap.We can consider the heap int[]
Select Sort Heap Sort1. Select sort: Description: Select sort (Selection sort) is a simple and intuitive sorting algorithm . It works as follows. First find the smallest (Large) element in the unordered sequence, place it at the beginning of the
PHP implements Heap Sort and heap
Algorithm introduction:
Here I directly reference the beginning of "big talk Data Structure:
As mentioned above, simply select sorting. It needs to be compared n-1 times to select the smallest record among the n records to be sorted. This can also be understood, it is normal that the first data needs to be compared so many times;
adjusted -}Else{ the Break;///Adjustment Complete * } $}/// forPanax NotoginsengA[i] = temp;///Place the initially adjusted node in the correct position -}To comb the process of building a heap on one side:Building the heap is also the process of constantly changing the heap shift, and the shift (int a[],int i,int m) function does th
Classic sorting algorithm-heap sort heap sortsThe heap sort is a little complex, divided into three pieces.The first block, what is the heap, what is the maximum heapThe second block, how to adjust the
that, the subtree of each node is then filtered forward, making it a heap until the root node.2. After removing the root node, rebuild the heapSwap the last one with the root node. In the way of building the heap (only the first number is to be built to sort the heap), the number of the first n-1 is built.#include /*1
] with the last element of the unordered zone, resulting in a new unordered area (R1,R2 ...). Rn-2) and the new ordered area (RN-1,RN). This process is repeated until the number of elements in the ordered area is n-1, and the entire sorting process is complete.The procedure is as follows:1) Initialize the heap: R[1..N] is constructed as a heap;2) Swap the top element of the current unordered area R[1] with
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