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归并排序

归并排序

作者: 狗尾巴草败了 | 来源:发表于2017-08-21 12:26 被阅读0次
    #include <iostream>
    using namespace std;
    //将数组 a[low,mid] 与 a(mid,high] 合并(归并)
    void Merge(int * a, int low, int mid, int high, int * temp)
    {
        int i,j,k;
        i = low;
        j = mid + 1;//避免重复比较a[mid]
        k = 0;
        while (i <= mid && j <= high)//数组a[low,mid]与数组(mid,high]均没有全部归入数组temp中去
        {
            if(a[i] <= a[j])        //如果a[i]小于等于a[j]
                temp[k++] = a[i++]; //则将a[i]的值赋给temp[k],之后i,k各加一,表示后移一位
            else
                temp[k++] = a[j++]; //否则,将a[j]的值赋给temp[k],j,k各加一
        }
        while(i <= mid)             //表示数组a(mid,high]已经全部归入temp数组中去了,而数组a[low,mid]还有剩余
            temp[k++] = a[i++];     //将数组a[low,mid]剩下的值,逐一归入数组temp
        while(j <= high)           //表示数组a[low,mid]已经全部归入到temp数组中去了,而数组(mid,high]还有剩余
            temp[k++] = a[j++];     //将数组a(mid,high]剩下的值,逐一归入数组temp
        for (i = 0; i < k; i++)     //将归并后的数组的值逐一赋给数组a[low,high]
            a[low+i] = temp[i];     //注意,应从a[low+i]开始赋值
    }
    //二路归并(递归实现)
    void MergeSort(int * a, int low, int high, int * temp)
    {
        if (low < high)
        {
            int mid = (low + high)/2;
            MergeSort(a,low,mid,temp);      //左边有序
            MergeSort(a,mid+1,high,temp);   //右边有序
            Merge(a,low,mid,high,temp);     //再将两个有序序列合并
        }
    }
    /*----------测试代码----------*/
    int main()
    {
        int a[] = {2,23,34,43,45,6,7,8,5,4,56,78,80,211,222,444,111};
        int La = sizeof(a)/sizeof(a[0]);
        int * p = new int[La];
        MergeSort(a,0,La-1,p);
        for (int i = 0; i < La; i++)
        {
            cout<<a[i]<<' ';
        }
        cout<<endl;
        delete []p;
    }
    

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