How can I do arrangements. of numbers... such that each new number formed
out of arrangement has at max a difference of 1 from prev maxima.

e.g.
if input is k=1 output will be 1

if k =2 outputs are : 11, 12
 2,1 is wrong  as left most has to be 1 always.

if k = 3 outputs are: 111,112, 121, 122, 123

if k = 4 : 1111,1112,1121,1122,1123,1212,1211,1213,1223,1221, 1222, 1233,
1234

1423 is wrong diff b/w 1 and 4 is 3.
1243 is wrong diff b/w 2 and 4 is 2....
How I do this using DP? if possible ?

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