I took part in a meeting of puzzle maniacs. I overheard a conversation between two persons.
A: Hey, solve this alphametic problem. LHS is a square of two-digit number and RHS is a four-digit number.
B: Does it contain some middle steps?
A: No. That's a whole. Can you solve it?
After some minutes, B asked.
B: The answer cannot be determined. If we know whether the number is odd or even, it could be unique.
A: Wait, please. Let me read again. Oh, sorry. The parity was mentioned in the problem.
A read the sentence about parity to B.
B: OK. That figures. If the parity was given reversely, we couldn't get the unique answer.
I did not see their problem. But, I could solve it just by eavesdropping.
What's the answer of this alphametic problem?
PS. The parity in the dialogue means whether the RHS number is odd or even.