Reverse Array sum problem
Suppose you had two arrays A and B of length n in reverse sort order
and computed the array C of length n*n by taking all possible sums of A
(i) + B(j) and then you sorted array C.

Find an algorithm to reverse the process to find A and B given C and
assuming you already know A(1).

I can think of solution which can help us reconstruct A and B, but
that requires A and B to have no element in common.
Can we have a more generic solution which allows A and B to have
common elements?

_dufus

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