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Omni-MATH / Let A denote the set of all integers n such that 1≤n≤10000, and moreover the sum of the decimal digits of n is 2. Find the sum of the squares of the elements of A.

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problem

Let AA denote the set of all integers nn such that 1≤n≤100001 \leq n \leq 10000, and moreover the sum of the decimal digits of nn is 2. Find the sum of the squares of the elements of AA.
Plain-text mathematical notation (without MathML)
Let A denote the set of all integers n such that 1≤n≤10000, and moreover the sum of the decimal digits of n is 2. Find the sum of the squares of the elements of A.
Original LaTeX notation
Let $A$ denote the set of all integers $n$ such that $1 \leq n \leq 10000$, and moreover the sum of the decimal digits of $n$ is 2. Find the sum of the squares of the elements of $A$.

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