1098 Insertion or Heap Sort (25分)(堆排序和插入排序)

Posted 2020-12-12 bianjunting

1098 Insertion or Heap Sort (25分)

 

According to Wikipedia:

Insertion sort iterates, consuming one input element each repetition, and growing a sorted output list. Each iteration, insertion sort removes one element from the input data, finds the location it belongs within the sorted list, and inserts it there. It repeats until no input elements remain.

Heap sort divides its input into a sorted and an unsorted region, and it iteratively shrinks the unsorted region by extracting the largest element and moving that to the sorted region. it involves the use of a heap data structure rather than a linear-time search to find the maximum.

Now given the initial sequence of integers, together with a sequence which is a result of several iterations of some sorting method, can you tell which sorting method we are using?

Input Specification:

Each input file contains one test case. For each case, the first line gives a positive integer N (≤). Then in the next line, N integers are given as the initial sequence. The last line contains the partially sorted sequence of the N numbers. It is assumed that the target sequence is always ascending. All the numbers in a line are separated by a space.

Output Specification:

For each test case, print in the first line either "Insertion Sort" or "Heap Sort" to indicate the method used to obtain the partial result. Then run this method for one more iteration and output in the second line the resulting sequence. It is guaranteed that the answer is unique for each test case. All the numbers in a line must be separated by a space, and there must be no extra space at the end of the line.

Sample Input 1:

10
3 1 2 8 7 5 9 4 6 0
1 2 3 7 8 5 9 4 6 0

 

Sample Output 1:

Insertion Sort
1 2 3 5 7 8 9 4 6 0

 

Sample Input 2:

10
3 1 2 8 7 5 9 4 6 0
6 4 5 1 0 3 2 7 8 9

 

Sample Output 2:

Heap Sort
5 4 3 1 0 2 6 7 8 9

很久没实现堆排序已经忘记的一干二净了。
这题就是一个模板的堆排序，和归并排序那个相似，先根据插入排序序列的特点判断序列是否
是插入排序，不是插入排序的话将原数组建堆，然后一步步下沉，当原序列和给出的排序序列
完全一样时再进行一步堆排序的下沉操作就可以得到正确答案。