# The answer is x.

Brilliant answers are integers ranging from 0 to 999. Let \(x\) be the answer to this problem, where \(0 \leq x \leq 999\). Without any clue to solving this problem, Tom randomly picks an integer \(y\) as his answer in the same range. The probability that \(1 \leq y < x\) can be expressed as \(\frac {a}{b}\), where \(a\) and \(b\) are coprime positive integers in the simplest form. Since usual problems that ask for a fraction have their answer as the sum of \(a\) and \(b\), find the smallest possible answer \(x=a+b\).