For a long time there was an attempt to create an elusive 3x3 square of integers meeting two criteria:
a. all integers should be distinct squares.
b.They should add to the same value along all rows, columns and diagonals.

Apparently, no one succeeded to create such a magic square. The closest to the above goal was a set of 3 distinct squares and 3 couples of identical square numbers like a, b, c, d, d, e, e, f & f. Each of the 3 rows, 3 columns and one diagonal sum up to the same value - the other diagonal does not.

Find such solution, keeping in mind that all the numbers are odd and the sum is a 4-digit number.