Given K sorted arrays arranged in the form of a matrix of size K*K. The task is to merge them into one sorted array.
Example 1:
Input:
K = 3
arr[][] = {{1,2,3},{4,5,6},{7,8,9}}
Output: 1 2 3 4 5 6 7 8 9
Explanation:Above test case has 3 sorted
arrays of size 3, 3, 3
arr[][] = [[1, 2, 3],[4, 5, 6],
[7, 8, 9]]
The merged list will be
[1, 2, 3, 4, 5, 6, 7, 8, 9].
Example 2:
Input:
K = 4
arr[][]={{1,2,3,4}{2,2,3,4},
{5,5,6,6},{7,8,9,9}}
Output:
1 2 2 2 3 3 4 4 5 5 6 6 7 8 9 9
Explanation: Above test case has 4 sorted
arrays of size 4, 4, 4, 4
arr[][] = [[1, 2, 2, 2], [3, 3, 4, 4],
[5, 5, 6, 6] [7, 8, 9, 9 ]]
The merged list will be
[1, 2, 2, 2, 3, 3, 4, 4, 5, 5,
6, 6, 7, 8, 9, 9 ].
Your Task:
You need to complete mergeKArrays() function which takes 2 arguments, an arr[k][k] 2D Matrix containing k sorted arrays and an integer k denoting the number of sorted arrays. The function should return the merged sorted array ( as a pointer to the merged sorted arrays in cpp, as an ArrayList<Integer> in java, and list in python)
Expected Time Complexity: O(nk Logk)
Expected Auxiliary Space: O(k)
Note: This space is required for returning the resulted sorted array, other work should be done in O(K) Auxiliary Space.
Constraints:
1 <= K <= 100
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