Four 4-digit perfect squares are arranged one above the other, in ascending order. No two digits within any one of these squares is the same. If you sum the digits of each of these four squares, each result is the same sum. Also, the sum of the digits of each column formed by placing these digits above one another is the same. There may or may not be repeated digits within a column.
What are the 4-digit squares?
The required 4-digit squares are:
1764
3249
5184
9801
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