Space and Time Complexity of merge sort

How we have decided the constant K and K(n) in time complexity?

Finding the mid point is a single operation. But we have to find it for every subarray. So we take it is a linear operation and we take it as any random number k.
Merging the 2 parts is also a linear operation and we have to merge parts of different sizes in each step. So we take it to be kn in worst case.

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