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AMC 10A/12A 2024 (Problem 21/14)

The numbers, in order, of each row and the numbers, in order, of each column of a 5×55\times5 array of integers form an arithmetic progression of length 55. The numbers in positions (5,5)(5,5), (2,4)(2,4), (4,3)(4,3) and (3,1)(3,1) are 00, 4848, 1616, and 1212, respectively. What number is in position (1,2)(1,2)?
A 5 by 5 array with entries 0, 48, 16, and 12 in the given positions and a question mark in position (1,2)
(A)  19\text{(A)}\;19(B)  24\text{(B)}\;24(C)  29\text{(C)}\;29(D)  34\text{(D)}\;34(E)  39\text{(E)}\;39