Score : $200$ points
There are $N$ people numbered $1$ to $N$.
Person $i$ guessed the building area of KEYENCE headquarters building to be $S_i$ square meters.
The shape of KEYENCE headquarters building is shown below, where $a$ and $b$ are some positive integers.
That is, the building area of the building can be represented as $4ab+3a+3b$.
Based on just this information, how many of the $N$ people are guaranteed to be wrong in their guesses?
Input is given from Standard Input in the following format:
$N$ $S_1$ $\ldots$ $S_N$
Print the answer.
3 10 20 39
The area would be $10$ square meters if $a=1,b=1$, and $39$ square meters if $a=2,b=3$.
However, no pair of positive integers $a$ and $b$ would make the area $20$ square meters.
Thus, we can only be sure that Person $2$ guessed wrong.
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