A six digit perfect square is represented as
AABCAB where the same letter represents the same digit, but a different letter represents a different digit.
It is also known that both these relationships are simultaneously satisfied:
- The numbers represented by each of AAB and CAB is a perfect square.
- The numbers represented by each of AB and ABC is a perfect square.
Determine the digits represented by
A,
B, and
C.
Note: Computer program solutions are welcome, but a semi-analytic(calculator+ p&p) method is preferred.
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