Insert or Merge (25)

时间限制 1000 ms 内存限制 32768 KB 代码长度限制 100 KB 判断程序 Standard (来自 小小)

题目描述

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.

Merge sort works as follows: Divide the unsorted list into N sublists, each containing 1 element (a list of 1 element is
considered sorted). Then repeatedly merge two adjacent sublists to produce new sorted sublists until there is only 1
sublist remaining.

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?

输入描述:

Each input file contains one test case. For each case, the first line gives a positive integer N (<=100). 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.


输出描述:

For each test case, print in the first line either "Insertion Sort" or "Merge 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.

输入例子:

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

输出例子:

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