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算法设计与分析 合并排序的递归实现算法

2017-07-07 09:47 429 查看
合并排序的递归实现算法。
输入:先输入进行合并排序元素的个数,然后依次随机输入(或随机生成)每个数字。
输出:元素排序后的结果,数字之间不加任何标识符。


//合并排序 递归
#include<iostream>
using namespace std;

template<class Type>
void Merge(Type c[], Type d[], int l, int m, int r)
{
int i = l, j = m + 1, k = l;
while ((i <= m) && (j <= r))
{
if (c[i] <= c[j])
{
d[k++] = c[i++];
}
else
{
d[k++] = c[j++];
}
}
if (i>m)
{
for (int q = j; q <= r; q++)
{
d[k++] = c[q];
}
}
else
{
for (int q = i; q <= m; q++)
{
d[k++] = c[q];
}
}
}

template<class Type>
void MergeSort(Type a[], Type b[], int left, int right)
{
if (left<right)
{
int i = (left + right) / 2;
MergeSort(a, b, left, i);
MergeSort(a, b, i + 1, right);
Merge(a, b, left, i, right);
for (int i = left; i <= right; i++)
{
a[i] = b[i];
}
}
}

int main()
{
int n, data[100], result[100];
cout << "请输入数组的长度" << endl;
cin >> n;
cout << "请输入数组" << endl;
for (int i = 0; i < n; i++)
{
cin >> data[i];
result[i] = data[i];
}
MergeSort(data, result, 0, n - 1);
for (int i = 0; i < n; i++)
{
cout << data[i] << " ";
}
cout << endl;
system("pause");
return 0;
}
//合并排序非递归版
#include<iostream>
using namespace std;

template<class Type>
void Merge(Type c[], Type d[], int l, int m, int r)
{
int i = l, j = m + 1, k = l;
while ((i <= m) && (j <= r))
{
if (c[i] <= c[j])
{
d[k++] = c[i++];
}
else
{
d[k++] = c[j++];
}
}
if (i>m)
{
for (int q = j; q <= r; q++)
{
d[k++] = c[q];
}
}
else
{
for (int q = i; q <= m; q++)
{
d[k++] = c[q];
}
}
}

template<class Type>
void MergePass(Type x[],Type y[],int s,int n)
{
int i=0;
while(i<=n-2*s)
{
Merge(x,y,i,i+s-1,i+2*s-1);
i=i+2*s;
}
if(i+s<n)Merge(x,y,i,i+s-1,n-1);
else for(int j=i;j<=n-1;j++)y[j]=x[j];
}
template<class Type>
void MergeSort(Type a[], int n)
{
Type *b =new Type
;
int s=1;
while(s<n)
{
MergePass(a,b,s,n);
s+=s;
MergePass(b,a,s,n);
s+=s;
}
}

int main()
{
int n, data[100];
cout << "请输入数组的长度" << endl;
cin >> n;
cout << "请输入数组" << endl;
for (int i = 0; i < n; i++)
{
cin >> data[i];
}
MergeSort(data,n);
for (int i = 0; i < n; i++)
{
cout << data[i] << "  ";
}
cout << endl;
system("pause");
return 0;
}



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