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.
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