Assume that we haveksorted files, of sizesn1,n2, ..., nKand we want tomerge them to one sorted file. (Size is number of elements in the file.) Design a divide and conquer algorithm for this purpose, and derive its time complexity. You should describe the algorithm, first, and then write a recurrence relation, and then derive the time complexity of the algorithm. ( Assume that you have a linear time merge algorithm for merging two sorted files. )

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