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this prevents crashes when using a non-existing file name
There is no value in a column which has more items then ordered. Limit count per length to order number. This might also not be very helpful, but more then a useless column, especially when low order counts are used. Also use integer as data type to make clear we deal with counts.
Also when generating columns do not exceed the order count as such columns bring no value. Use the double bounded type with a lower bount of 0 and upper bound of order count.
In practice column counts with a fractal part are not very useful. Use the MIP solver to solve forr integer column counts.
The last generated column has been computed but then ignored. Since we seem to be a bit low on columns in practice anyway make use of this last column as well.
The best_patterns is only an array of arrays and hence does not need that much memory. Overestimate the size by assuming we have no duplicate columns and allocate memory only once. This makes the code more readable and probably faster too (since reallocating takes time too).
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Fixes issue #1 as well as some other issues I came across.