# Parents

Number Theory Level pending

Let $$O,D,A,I,M,O$$ be distinct digits such that $$O^3$$ is equal to the 3-digit integer $$\overline{DAD}$$, and the square of the 2-digit integer, $$\overline{IM} ^2$$ is equal to the 3-digit integer $$\overline{MOM}$$. Find the value of the 4-digit integer $$\overline{MAID}$$.

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