Almost Primes Square

Algebra Level 5

You're given a \(4\times 4\) magic square, where the sum of every row, column, or diagonal equals to 180, and all the letters \(A\) to \(O\) represent distinct 2-digit prime numbers apart from 49 as shown.

The unit numbers never repeat in any sum, and the corner numbers are arranged such that the product \(AOLC\) is maximum.

If \(A\) > \(O\) > \(L\) > \(C\), what is the value of \(A\) + \(B\) - \(C\) + \(D\) - \(E\) + \(F\) - \(G\) + \(H\) - \(I\) + \(J\) - \(K\) + \(L\) - \(M\) + \(N\) - \(O\)?

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