Unrank computes the ordinary mixed-radix tuple of a given rank.

The rnk parameter is the desired rank.

The m parameter is the radices. It is a list or one-dimensional rtable of positive integers.

$\mathrm{with}\left(\mathrm{Iterator}:-\mathrm{MixedRadix}\right)\:$

$\mathrm{radices}≔\left[3\,1\,4\,1\right]\:$

$\mathbf{for}\mathrm{rnk}\mathbf{to}12\mathbf{do}\mathrm{printf}\left(''\%2d\; :\; \%d''\,\mathrm{rnk}\,\mathrm{Unrank}\left(\mathrm{rnk}\,\mathrm{radices}\right)\right)\mathbf{end\; do}\:$

 1 : 0 0 0 0
 2 : 1 0 0 0
 3 : 2 0 0 0
 4 : 0 0 1 0
 5 : 1 0 1 0
 6 : 2 0 1 0
 7 : 0 0 2 0
 8 : 1 0 2 0
 9 : 2 0 2 0
10 : 0 0 3 0
11 : 1 0 3 0
12 : 2 0 3 0

The Iterator[MixedRadix][Unrank] command was introduced in Maple 2016.

For more information on Maple 2016 changes, see Updates in Maple 2016.