Brainman

本文探讨了通过排序算法计算将一组乱序数字序列通过交换相邻元素达到升序排列所需的最少交换次数。提供了使用冒泡排序算法的具体实现,并讨论了其在特定场景下的应用。

Background 
Raymond Babbitt drives his brother Charlie mad. Recently Raymond counted 246 toothpicks spilled all over the floor in an instant just by glancing at them. And he can even count Poker cards. Charlie would love to be able to do cool things like that, too. He wants to beat his brother in a similar task. 

Problem 
Here's what Charlie thinks of. Imagine you get a sequence of N numbers. The goal is to move the numbers around so that at the end the sequence is ordered. The only operation allowed is to swap two adjacent numbers. Let us try an example: 

Start with: 2 8 0 3 
swap (2 8) 8 2 0 3 
swap (2 0) 8 0 2 3 
swap (2 3) 8 0 3 2 
swap (8 0) 0 8 3 2 
swap (8 3) 0 3 8 2 
swap (8 2) 0 3 2 8 
swap (3 2) 0 2 3 8 
swap (3 8) 0 2 8 3 
swap (8 3) 0 2 3 8


So the sequence (2 8 0 3) can be sorted with nine swaps of adjacent numbers. However, it is even possible to sort it with three such swaps: 

Start with: 2 8 0 3 
swap (8 0) 2 0 8 3 
swap (2 0) 0 2 8 3 
swap (8 3) 0 2 3 8


The question is: What is the minimum number of swaps of adjacent numbers to sort a given sequence?Since Charlie does not have Raymond's mental capabilities, he decides to cheat. Here is where you come into play. He asks you to write a computer program for him that answers the question. Rest assured he will pay a very good prize for it.

 Input

The first line contains the number of scenarios. 
For every scenario, you are given a line containing first the length N (1 <= N <= 1000) of the sequence,followed by the N elements of the sequence (each element is an integer in [-1000000, 1000000]). All numbers in this line are separated by single blanks.

 Output

 Start the output for every scenario with a line containing "Scenario #i:", where i is the number of the scenario starting at 1. Then print a single line containing the minimal number of swaps of adjacent numbers that are necessary to sort the given sequence. Terminate the output for the scenario with a blank line.

 Sample Input

4
4 2 8 0 3
10 0 1 2 3 4 5 6 7 8 9
6 -42 23 6 28 -100 65537
5 0 0 0 0 0

 Sample Output

Scenario #1:
3

Scenario #2:
0

Scenario #3:
5

Scenario #4:
0

 这题其实比较水的,只要你用任何一种排序的方法遍历一边,记录一下交换的次数,就是这个提的答案,当然还有一种更加科学的方法就是用线段树来做,但这题没必要,因为数据不是很大所以就这用些就能过。

代码如下:
 

#include<stdio.h>
#include<string.h>
#include<math.h>
#include<stdlib.h>
#include<algorithm>
using namespace std;
int main()
{
	int t;
	scanf("%d",&t);
	for(int k=1;k<=t;k++)
	{
		int n,a[101010];
		scanf("%d",&n);
		for(int i=0;i<n;i++)
		scanf("%d",&a[i]);
		int p=0;
		for(int i=0;i<n-1;i++)
		{
			for(int j=0;j<n-i-1;j++)
			{
				if(a[j]>a[j+1])
				{
					int temp=a[j];a[j]=a[j+1];a[j+1]=temp;
					p++;
				}
			}
		}
		if(k!=t)
		printf("Scenario #%d:\n%d\n\n",k,p);
		else
		printf("Scenario #%d:\n%d\n",k,p);
	}
	return 0;
}

 革命尚未成功,同志还需努力。加油!加油!加油!

 

 

 

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