参考:三种改进快排方法
我是看到算法书的课后题,要求改进快排,在线性表中的第一个元素、中间元素和最后元素中选择一个中位数作为主元
/**
* 关键:该算法在数组中选择一个称为主元的元素,将数组分为两部分;
* 每次划分都将主元放在了恰当的位置
* 时间复杂度:O(nlogn)
* @param list
*/
public static void quickSort(int[] list) {
quickSort(list, 0, list.length - 1);
}
private static void quickSort(int[] list, int first, int last) {
// TODO Auto-generated method stub
if (first < last) {
paritionMedianOfTree(list, first, last);
int privotIndex = partition(list, first, last);
// int privotIndex = partition2(list, first, last);System.out.println(privotIndex);
quickSort(list, first, privotIndex - 1);
quickSort(list, privotIndex + 1, last);
}
}
/**
* 分割list,从first到last
*
* @param list
* @param first
* @param last
* @return
*/
private static int partition(int[] list, int first, int last) {
int pivot = list[first];
int low = first + 1;
int high = last;
int temp = 0;
while (high > low) {
// 从左向右找一个比pivot大的数字
while (low <=high && list[low] <= pivot)
low++;
// 从右到左找一个比pivot小的数字
while (high >= low && list[high] >pivot)
high--;
// 找到以后交换两个数
if (high > low) {
temp = list[low];
list[low] = list[high];
list[high] = temp;
}
}
while (high > first && list[high] > pivot)
high--;
//如果主元被移动,就返回主元移动后的下标
if (list[high]return high;
}else {
//没有被移动就返回原始下标
return first;
}
}
/**
* 三个数中确定基准值,将确定好的
* @param attr
* @param low
* @param high
*/
public static void paritionMedianOfTree(int[] attr,int low,int high) {
int mid = low + (high -low +1)/2;
int cas = 0;
if (attr[mid]>attr[high]) {
cas = attr[mid];
attr[mid] = attr[high];
attr[high] = cas ;
}
if (attr[low]>attr[high]) {
cas = attr[low];
attr[low] = attr[high];
attr[high] = cas ;
}
if (attr[mid] >attr[low]){
cas = attr[mid];
attr[mid] = attr[low];
attr[low] = cas ;
}
}
效率比原来快