算法设计:
归并排序算法将数组分为两半,对每部分递归的应用归并排序。在两部分都排好序后,对他们进行归并。算法时间复杂度为O(nlogn)
public static void mergeSort(int[] list){
if(list.length>1){
mergeSort(list[0....list.length/2]);
mergeSort(list[list.length/2....list.length]);
merge list[0....list.length/2] with list[list.length/2....list.length]
}
}
算法实现:
public class MergeSort {
public static void main(String[] args) {
int[] list={2,3,2,5,6,1,-2,3,14,12};
mergeSort(list);
System.out.print("{2,3,2,5,6,1,-2,3,14,12}" + " by insertionSort is {");
for (int i = 0; i < list.length; i++) {
System.out.print(list[i] + ",");
}
System.out.println("}");
}
public static void mergeSort(int[] list) {
if (list.length > 1) {
int[] firstHalf = new int[list.length / 2];
System.arraycopy(list, 0, firstHalf, 0, list.length / 2);
mergeSort(firstHalf);
int secondHalfLength = list.length - list.length / 2;
int[] secondHalf = new int[secondHalfLength];
System.arraycopy(list, list.length / 2, secondHalf, 0, secondHalfLength);
mergeSort(secondHalf);
merge(firstHalf, secondHalf, list);
}
}
public static void merge(int[] list1, int[] list2, int[] tmp) {
int current1 = 0;
int current2 = 0;
int current3 = 0;
while (current1 < list1.length && current2 < list2.length) {
if (list1[current1] < list2[current2])
tmp[current3++] = list1[current1++];
else
tmp[current3++] = list2[current2++];
}
while (current1 < list1.length)
tmp[current3++] = list1[current1++];
while (current2 < list2.length)
tmp[current3++] = list2[current2++];
}
}