Median of Two Sorted Arrays Problem Statement
Given two sorted integer arrays A
and B
with sizes N
and M
respectively, find the median of the combined array that results from merging arrays A
and B
. If the total number of elements (i.e., N + M
) is even, the median will be the average of the two middle numbers.
Input:
The first line contains an integer T
representing the number of test cases.
For each test case:
- The first line contains two space-separated integers N
and M
denoting the sizes of arrays A
and B
, respectively.
- The second line contains N
space-separated integers representing the elements of the array A
.
- The third line contains M
space-separated integers representing the elements of the array B
.
Output:
For each test case, print the median of the combined array on a new line.
Example:
Input:
A = { 2, 4, 6, 8 }
B = { 1, 3, 5, 7 }
Output:
4.5
Explanation: The merged array is { 1, 2, 3, 4, 5, 6, 7, 8 }. The middle elements are 4 and 5, thus the median is (4 + 5) / 2 = 4.5.
Constraints:
1 ≤ T ≤ 10
1 ≤ N ≤ 10^6
1 ≤ M ≤ 10^6
1 ≤ A[i] ≤ 10^9
1 ≤ B[i] ≤ 10^9
- Time limit: 1 sec.
Note:
You are not required to print anything; just implement the function to find the median.

AnswerBot
4mo
Find the median of two sorted arrays after merging them.
Merge the two sorted arrays into one sorted array.
Calculate the median based on the length of the combined array.
Handle cases where the total nu...read more
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