#1 – Five-Digit Number
A is a five-digit number constituted of five different figures such that the multiplication of its last three digits is equivalent to the number formulated by its first two digits. One other characteristic of A is that the square of the number formulated by its last two digits is equivalent to the combination of its first three digits. Given these specifications, find the value of A.
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This question was prepared by Emrehan Halıcı, the president of the Turkish Intelligence Foundation, for Bilkent IEEE.