Thankful For Equations

\[ \begin{array} { | l | l | l | l | }
\hline 22 & 12 & 18 & 87 \\ \hline 88 & 17 & 9 & 25 \\
\hline 10 & 24 & 89 & 16 \\ \hline 19 & 86 & 23 & 11 \\ \hline \end{array} \]

Ramanujan's birthday in DD/MM/YYYY format is 22/12/1887. He found the Ramanujan Square, which is a magic square whose first row is the numbers 22, 12, 18, 87.

Given that my birthday is 16/6/1975, does there exist a Chung Square, which is a magic square whose first row is the numbers 16, 6, 19, 75?


A magic square is filled with distinct integers such that the sum of each row, column and diagonal are equal.

Bonus: Can you find a magic square for your own birthday?
(Note: People born in 01/01, or in the year 2020, would not have a magic square since these numbers are repeated. To counter this, we can relax the distinct integer condition in the first row)

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