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Let ${a_n}$ be the sequence of real numbers defined by $a_1 = t$ and $a_{n+1} = 4a_n(1 - a_n)$ for $n \geq 1$.

If the number of distinct values of $t$ such that $a_{1998} = 0$ is $x$, find the value of $x \pmod {1000}$.

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