Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
PeterBurbery`Combinatorics`
TupleFromIndex  |
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Details and Options
Examples
(8)
Basic Examples
(5)
Create 2-tuples from their index:
In[1]:=
Table
[n,2],{n,1,9}
 | TupleFromIndex |
Out[1]=
{{0,0},{0,1},{1,0},{1,1},{0,2},{1,2},{2,0},{2,1},{2,2}}
The first nine 2-tuples sorted by maximal element:
In[1]:=
SortBy[Tuples[{0,1,2},{2}],Max[#]&]
Out[1]=
{{0,0},{0,1},{1,0},{1,1},{0,2},{1,2},{2,0},{2,1},{2,2}}
Create 3-tuples from their index:
In[1]:=
Table
[n,3],{n,1,27}
| TupleFromIndex |
Out[1]=
{{0,0,0},{0,0,1},{0,1,0},{0,1,1},{1,0,0},{1,0,1},{1,1,0},{1,1,1},{0,0,2},{0,1,2},{0,2,0},{0,2,1},{0,2,2},{1,0,2},{1,1,2},{1,2,0},{1,2,1},{1,2,2},{2,0,0},{2,0,1},{2,0,2},{2,1,0},{2,1,1},{2,1,2},{2,2,0},{2,2,1},{2,2,2}}
The function can return tuples of a given index for various lengths:
In[1]:=
Table
[2019,len],{len,2,9}
| TupleFromIndex |
Out[1]=
{{44,38},{11,12,3},{5,6,1,2},{2,4,0,2,2},{1,2,3,2,3,3},{2,2,0,2,2,0,2},{0,2,1,2,1,0,0,0},{0,0,2,0,2,0,1,1,2}}
Find the trillionth -tuple:
k
In[1]:=
Table
[10^12,k],{k,2,12}
| TupleFromIndex |
Out[1]=
{{999999,999999},{9999,9999,9999},{999,999,999,999},{58,251,174,151,123},{99,99,99,99,99,99},{47,11,16,51,29,21,41},{21,17,31,0,18,30,14,27},{12,1,14,3,17,21,14,15,8},{13,15,14,1,3,13,15,3,7,0},{3,5,5,0,8,9,9,12,8,4,0},{9,9,9,9,9,9,9,9,9,9,9,9}}
Properties & Relations
(1)
Neat Examples
(2)
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