Median of Two Sorted Arrays(Leetcode)
1 min readDec 4, 2020
Given two sorted arrays nums1
and nums2
of size m
and n
respectively, return the median of the two sorted arrays.
Follow up: The overall run time complexity should be O(log (m+n))
.
Example 1:
Input: nums1 = [1,3], nums2 = [2]
Output: 2.00000
Explanation: merged array = [1,2,3] and median is 2.
Example 2:
Input: nums1 = [1,2], nums2 = [3,4]
Output: 2.50000
Explanation: merged array = [1,2,3,4] and median is (2 + 3) / 2 = 2.5.
Example 3:
Input: nums1 = [0,0], nums2 = [0,0]
Output: 0.00000
Example 4:
Input: nums1 = [], nums2 = [1]
Output: 1.00000
Example 5:
Input: nums1 = [2], nums2 = []
Output: 2.00000
Constraints:
nums1.length == m
nums2.length == n
0 <= m <= 1000
0 <= n <= 1000
1 <= m + n <= 2000
-106 <= nums1[i], nums2[i] <= 106
class Solution {
public double findMedianSortedArrays(int[] nums1, int[] nums2) {
if(nums1.length>nums2.length){
return findMedianSortedArrays(nums2,nums1);
}
int x = nums1.length;
int y = nums2.length;
int low =0;
int high = x;
while(low<=high){
int partitionX = (low+high)/2;
int partitionY = (x+y+1)/2 - partitionX;
int maxLeftX = (partitionX == 0)?Integer.MIN_VALUE:nums1[partitionX-1];
int minRightX = ( partitionX == x)?Integer.MAX_VALUE:nums1[partitionX];
int maxLeftY = (partitionY == 0)?Integer.MIN_VALUE:nums2[partitionY-1];
int minRightY = (partitionY == y)?Integer.MAX_VALUE:nums2[partitionY];
if((maxLeftX<=minRightY) &&(maxLeftY<=minRightX)){
if((x+y)%2==0){
return (double)(Math.max(maxLeftX,maxLeftY)+Math.min(minRightX,minRightY))/2;
}else{
return (double)(Math.max(maxLeftX,maxLeftY));
}
}else if(maxLeftX>minRightY){
high=partitionX-1;
}else{
low=partitionX+1;
}
}
throw new IllegalArgumentException();
}
}
Thank you for Reading!!