Quora Question: Can you arrange the digits 1-9 to make a nine-digit number
such that the first digit is divisible by one, the first two digits are
divisible by two, the first three divisible by three and so on?

My solution:
ea=.&.>

at=.>10#.ea(a=.362880 9$1 to 9){.ea{n=.>:perm 9

{:"1 at#~*./"1[0=a|"1 at

381654729


The answer is 381654729.


Check:

]m=.>10#.ea(;/1 to 9){.ea{sep 381654729

3 38 381 3816 38165 381654 3816547 38165472 381654729

(1 to 9)| m

0 0 0 0 0 0 0 0 0


There is only one answer. Is there a way to simplify or minimize the big
repetitive array 'a' to make the two J code lines more memory efficient &
succinct?


Skip Cave
Cave Consulting LLC
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