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概述

冒泡排序:从前(后)第一个数起与其后的第二个进行比较交换,以此往后,到第二个数与其后的第二个进行比较交换。最后一个数变为极大(小)值,以此从最后排序,形成冒泡。

#include <iostream>
using namespace std;
void show(int array[], int len)
{
	int i = 0;
	for(i=0; i<len; i++)
	{
		cout<<array[i]<<"  ";
	}
	cout<<endl;
}

void swap(int array[], int i, int j)
{
	int temp = array[i];
	array[i] = array[j];
	array[j] = temp;
}

void BubbleSort(int array[], int length)
{
	int i = 0;
	int j = 0;
	for(i = 0; i < length; i++)
	{
		for(j = length-1; j > i; j--)
		{
			if( array[j] < array[j-1] )
			{
				swap(array, j, j-1);			
			}
		show(array, length);
		}
	}

}

int main()
{
	int array[] ={8,3,6,1};
	int length = sizeof(array) / sizeof(*array); 
	cout<<"排序前"<<endl;
	show(array, length);
	cout<<endl;
	BubbleSort(array, length);
	cout<<endl;
	cout<<"排序后"<<endl;
	show(array, length);
	return 0;
}



对冒泡排序的进一步的加强,加一个标志位,当某一趟冒泡排序没有元素交换时,则冒泡结束,元素已经有序,可以有效的减少冒泡次数。

#include <iostream>
using namespace std;
void show(int array[], int len)
{
	int i = 0;
	for(i=0; i<len; i++)
	{
		cout<<array[i]<<"  ";
	}
	cout<<endl;
}

void swap(int array[], int i, int j)
{
	int temp = array[i];
	array[i] = array[j];
	array[j] = temp;
}

void BubbleSort(int array[], int length)
{
	int i = 0;
	int j = 0;
	bool if_finish = true;
	for(i=0; (i<length) && if_finish; i++)
	{
		if_finish = false;
		for(j=length-1; j>i; j--)
		{
			if( array[j] < array[j-1] )
			{
				swap(array, j, j-1);
				if_finish = 1;
			}
		}
	}
}

int main()
{
	int array[] ={8,3,6,1};
	int length = sizeof(array) / sizeof(*array); 
	show(array, length);
	BubbleSort(array, length);
	show(array, length);
	return 0;
}

选择排序法:从第一个数起,选其后的最小的数与之交换,以此往后。

#include <iostream>
using namespace std;
void show(int array[], int len)
{
	int i = 0;
	for(i=0; i<len; i++)
	{
		cout<<array[i]<<"  ";
	}
	cout<<endl;
}

void swap(int array[], int i, int j)
{
	int temp = array[i];
	array[i] = array[j];
	array[j] = temp;
}

void SelectionSort(int array[], int length) 
{
	int i = 0;
	int j = 0;
	int sign = -1;

	for(i=0; i<length; i++)
	{
		sign = i; 
		for(j = i+1; j<length; j++)
		{
			if( array[j] < array[sign] ) 
			{
				sign = j;	
			}
			
		}
		if(i != sign)
		{
			show(array, length);
			swap(array, i, sign);
			show(array, length);
			cout<<endl;
		}
	}
}
int main()
{
	int array[] ={4, 1, 3, 2};
	int length = sizeof(array) / sizeof(*array); 
	cout<<"排序前"<<endl;
	show(array, length);
	cout<<endl;
	SelectionSort(array, length);
	cout<<endl;
	cout<<"排序后"<<endl;
	show(array, length);
	return 0;
}



插入排序:从第一个数X起,与其之后遇到的第一个比其大(小)的数Y,并将Y前面个个数都后移一位,并将Y移至X,之后到第二个数,以此往后。。。。

#include <iostream>
using namespace std;
void show(int array[], int len)
{
	int i = 0;
	for(i=0; i<len; i++)
	{
		cout<<array[i]<<"  ";
	}
	cout<<endl;
}

void swap(int array[], int i, int j)
{
	int temp = array[i];
	array[i] = array[j];
	array[j] = temp;
}

void InertionSort(int array[], int length) 
{
	int i = 0;
	int j = 0;
	int sign = -1;
	int temp = -1;
	for(i=1; i<length; i++)
	{
		sign = i; 
		temp = array[sign];

		for(j = i-1; (j>=0) && (array[j]>temp); j--)
		{ 
			array[j+1] = array[j]; 
			sign = j; 
		}
		array[sign] = temp;
		show(array, length);
	}
}
int main()
{
	int array[] ={3, 1, 6, 5, 4, 2};
	int length = sizeof(array) / sizeof(*array); 
	cout<<"排序前"<<endl;
	show(array, length);
	cout<<endl;
	InertionSort(array, length);
	cout<<endl;
	cout<<"排序后"<<endl;
	show(array, length);
	return 0;
}



希尔排序:举例以效率比较高的3为例,n=length,n=n/3+1,第一个数与其后以3为倍数的个个数比较并排序,第二个数与其后以3为倍数的个个数比较并排序,以此为类...

#include <iostream>
using namespace std;
void show(int array[], int len)
{
	int i = 0;
	for(i=0; i<len; i++)
	{
		cout<<array[i]<<"  ";
	}
	cout<<endl;
}

void swap(int array[], int i, int j)
{
	int temp = array[i];
	array[i] = array[j];
	array[j] = temp;
}
void ShellSort(int array[], int length)
{
	int i = 0;
	int j = 0;
	int k = -1;
	int temp = -1;
	int gap = length ;
	while( gap > 1)
	{
		gap = gap / 3 + 1;
		cout<<gap;
		for(i=gap; i<length; i+=gap)
		{
			k = i;
			temp = array[k];
			for(j=i-gap; (j>=0) && (array[j]>temp); j-=gap)
			{
				array[j+gap] = array[j];
				k = j;
			}
			array[k] = temp;
		}
		show(array, length);

		
	}

}

int main()
{
	int array[] ={7, 1, 6, 5, 4, 2};
	int length = sizeof(array) / sizeof(*array); 
	cout<<"排序前"<<endl;
	show(array, length);
	cout<<endl;
	ShellSort(array, length);
	cout<<endl;
	cout<<"排序后"<<endl;
	show(array, length);
	return 0;
}

快速排序:

#include <iostream>
using namespace std;
void show(int array[], int len)
{
	int i = 0;
	for(i=0; i<len; i++)
	{
		cout<<array[i]<<"  ";
	}
	cout<<endl;
}

void swap(int array[], int i, int j)
{
	int temp = array[i];
	array[i] = array[j];
	array[j] = temp;
}
int partition(int array[], int low, int high)
{
	int pv = array[low];

	while( low < high )
	{
		while( (low < high) && (array[high] >= pv) )
		{
			high--; 
		}
		swap(array, low, high);
		while( (low < high) && (array[low] <= pv) )
		{
			low++;
		}
		swap(array, low, high);
	}
	return low;
}

void QSort(int array[], int low, int high)
{
	if( low < high )
	{
	
		int pivot = partition(array, low, high);
		QSort(array, low, pivot-1);
		QSort(array, pivot+1, high);
	}
}

int main()
{
	int array[] ={4, 1, 6, 5, 7, 2};
	int length = sizeof(array) / sizeof(*array); 
	cout<<"排序前"<<endl;
	show(array, length);
	cout<<endl;
	QSort(array,0,length-1);
	cout<<endl;
	cout<<"排序后"<<endl;
	show(array, length);
	return 0;
}
归并排序

#include <iostream>
using namespace std;
void show(int array[], int len)
{
	int i = 0;
	for(i=0; i<len; i++)
	{
		cout<<array[i]<<"  ";
	}
	cout<<endl;
}
void Merge(int src[], int des[], int low, int mid, int high)
{
	int i = low;
	int j = mid + 1;
	int k = low;

	while( (i <= mid) && (j <= high) ) 
	{
		if( src[i] < src[j] )
		{
			des[k++] = src[i++];
		}
		else
		{
			des[k++] = src[j++];
		}
	}

	while( i <= mid )  
	{
		des[k++] = src[i++];
	}
	while( j <= high ) 
	{
		des[k++] = src[j++];
	}
}

void MSort(int src[], int des[], int low, int high, int max)
{
	if( low == high ) 
	{
		des[low] = src[low]; 
	}
	else 
	{
		int mid = (low + high) / 2;
		int* space = (int*)malloc(sizeof(int) * max);
		if( space != NULL )
		{
			MSort(src, space, low, mid, max); 
			MSort(src, space, mid+1, high, max);
			Merge(space, des, low, mid, high); 
		}
		free(space);
	}
}

int main()
{
	int array[] ={4, 1, 6, 5, 7, 2};
	int length = sizeof(array) / sizeof(*array); 
	cout<<"排序前"<<endl;
	show(array, length);
	cout<<endl;
	MSort(array, array, 0, length-1, length);
	cout<<endl;
	cout<<"排序后"<<endl;
	show(array, length);
	return 0;
}



最后

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