解题思路:合并两个数组,创建一个 Map对象,用以存放排好顺序的键值对,键为序号,值为数组值,中位数的结果分两种情况讨论:
1、m+n为奇数:(m+n)/2为中位数
2、m+n为偶数:(((m+n)/2-1)+(m+n)/2)/2为中位数
public class FindMedianNum {
public static void main(String[] args) {
int[] a = {1,2,3,4,5,10};
int[] b = {3,5,6,7};
double median = findMedianNum(a,b);
System.out.println(median);
}
public static double findMedianNum(int[] a, int[] b){
int m = a.length;
int n = b.length;
int i = 0, j =0, k = 0;
if(m==1 && n == 0){
return a[0];
}
if(m == 0 && n == 1){
return b[0];
}
Map<Integer, Integer> map = new HashMap<Integer,Integer>();
while(i < m && j < n){
if(a[i] <= b[j]){
map.put(k, a[i]);
++i;
++k;
}else{
map.put(k, b[j]);
++j;
++k;
}
}
while(i < m){
map.put(k, a[i]);
++i;
++k;
}
while(j < n){
map.put(k, b[j]);
++j;
++k;
}
if((m+n)%2 == 0){
return (double)(map.get((m+n)/2-1) + map.get((m+n)/2))/2;
}else{
return (double)map.get((m+n)/2);
}
}
}