I have written down three different 5-digit perfect squares, which :
* between them use five different digits.
* each of the five digits is used a different number of times
* the five numbers of times being the same as the five digits of the perfect squares.
* no digit is used its own number of times.
* If you knew which digit I have used just once, you could deduce my three squares with certainty.

What are the three perfect squares?

Source:
a math puzzle posted to the SAS Discussion Forum (from New Scientist magazine).

(In reply to soln by Steven Lord)

1. With your permission, I will publish your excellent presentation as an official solution. <p>

Posted by Ady TZIDON on 2023-08-02 00:40:58