Double mirror
Public  03/10/17  9xp  Programming  61.5% 
Consider the number 35490. It can be written as:
$ \quad 2,21,2,1 $ in base 23
$ \quad 1,2,21,2 $ in base 32
Find the smallest number that can be written as:
$ \quad d_1,d_2, \dots, d_9 $ in base $ b_1 b_2 $
$ \quad d_9,d_8, \dots, d_1 $ in base $ b_2 b_1 $
($b_1, b_2 \in \{1, \dots, 9\})$
Answer format: $number,base_1$ where $ base_1 \lt base_2$
Example: 35490,23
[My timing: 4 sec]
$ \quad 2,21,2,1 $ in base 23
$ \quad 1,2,21,2 $ in base 32
Find the smallest number that can be written as:
$ \quad d_1,d_2, \dots, d_9 $ in base $ b_1 b_2 $
$ \quad d_9,d_8, \dots, d_1 $ in base $ b_2 b_1 $
($b_1, b_2 \in \{1, \dots, 9\})$
Answer format: $number,base_1$ where $ base_1 \lt base_2$
Example: 35490,23
[My timing: 4 sec]
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