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Data Structure-heap implementation priority queue (java)
The queue features FIFO. Generally, queues are similar to queuing for shopping. Everyone is very orderly. the first person in the queue buys something first. The
Template priority queue, array implementation, and then familiar with the common algorithms, while a simple heap sorting application Wrote a queue from the growth, another to demonstrate I also added a method called FILLPQ, this method can use an array directly into the priority
Heap and heap sorting-priority queue and heap sorting priority queue
In the previous section, we wrote about trees and Binary Trees.
Http://blog.csdn.net/wtyvhreal/article/details/43487
The queue is characterized by FIFO. Usually the queue is likened to the line to buy things, everyone is very orderly, first line people first buy things. but the priority queue is different, it does not follow the FIFO rule, but based on the priority of the elements in the
the function for initialization}
The function PQueue_Maxnum (A) that returns the largest element ):
int PQueue_Maxnum(int *A){ return A[1];}
Remove and return the first element PQueue_Pop (A) of the maximum priority queue ):
Int PQueue_Pop (int * A) {if (heapsize> = 1) {int max = A [1]; A [1] = A [heapsize]; -- heapsize; // heap size (maximum
queue, satisfy the first-in-one-out nature (team tail, to the first team), but for the priority queue, each time is the largest/smallest element out of the team. The heap can implement the basic operation of the priority
The implementation of the priority queue structure is mainly completed through the heap, mainly including: Binary heap, d heap, left heap, oblique heap, two
definitely the maximum value in the array, we can exchange (A[1] and a[n]) at this time A[n] is already the largest value, do not need to operate, only need to maintain the remaining n-1 elements of the subscript 1 of the maximum heap nature, after running into the largest heap of n-1 elements, Continue with the above interchange until 2 elements are left, and the sorting is complete.Code:void HeapSort(int
Introduction to algorithms + heap sorting + heap forming a priority queue; Introduction to heap sorting
Note: There are two types of heap: The maximum heap and the minimum
, Then from the last non-leaf node to start the SIFT down operation can be, the last non-leaf knot is also very easy to find, is the last node of the Father node, you can verify:Starting with the 22 node, start the SIFT down operation in turn:Repeat the process until the top element of the heap:To complete the heap operation:n elements are inserted into an empty heap, the algorithm complexity is O (Nlogn),
priority, or delete it altogether. A lookup task can be implemented in a dictionary that saves a pointer to a task list. Deleting a task or changing the priority will cause the heap ordering of the task queue to be unstable, so it is removed using the tagged method and does
. Structure declaration method:struct node{ int x, y; friend bool Operator priority_queueIn this structure, Y is the value and X is the priority.The priority in the element is compared by customizing the operatorIt is best not to overload ">" When Overloading "3 ApplicationsFirst priority queue is implemented by the
D-ary Heap Introduction:
The D-ary heap is a generalized version of binary heap (d=2), and the D-ary heap has a maximum of D child nodes per non-leaf node.
The D-ary heap has the following properties:
Similar to complete binary tree, except for the last layer of the tr
Buildmaxheap is O (n).② we then analyze the for loop in the Heapsort. The For loop executes n-1 times, and the time complexity of each loop execution is O (LGN), so the total time complexity is O (NLGN).③ other run time is constant O (1).So the time complexity of Heapsort is O (NLGN).4. Priority queueIn this section, we focus on how to implement the maximum priority
; right (I) = 2I + 2
Note that I starts from 0. When I starts counting from 1, the relationship is slightly different.
Two common applications of heap are heap sorting and priority queue, which are used in some algorithms (such as the Minimum Spanning Tree Algorithm. When performing operations on the
).3. Using the two-fork lookup tree, the insertion operation time is O (Logn), the exit operation returns the largest (or smallest, priority-defined) node in the tree and deletes it, and the time complexity is O (Logn), but the team will tend to make the tree unbalanced.If you decide to use a linked list, you must decide whether to use Method 1 or Method 2 based on the scale of the insert operation and the
much lighter than the binary heap, which improves the running time of the insert operation. However, for large D, deletemin operations are much time-consuming, because although the tree is too small, the smallest of D's sons must be found. If a standard algorithm is used, the D-1 comparison is used, so the operation time is increased. If D is a constant, the running time of both operations is O (logn ). Although an array can still be used, it is foun
heap (parents are not greater than or not less than the child's value), the first element of the heap (or the root of the complete binary tree) is always the most (large, small) value in the heap. Heap sorting is the use of this feature of the heap, the process can be descr
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