João is playing a game where the only allowed operation is to replace the natural number $n$ with the natural number $a \cdot b$ if $a+b=n$, with $a$ and $b$ being natural numbers. For example, if the last number obtained was 15, he can replace it with $56=7 \cdot 8$, since $7+8=15$ and both are natural numbers.

a) Starting with the number 7, show a sequence of operations that produces the number 48.

b) Starting with the number 7, show a sequence of operations that produces the number 2014.

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