Please restore the 5 by 5 grid containing 10 ternary numbers with no leading zeroes.
The crossword-like definitions follow:


Across:
I. a cube
II. twice a permutable (in base 10) prime
III. divisible by eleven
IV. the number of trees with 10 vertices
V. a square

Down:
1. repdigit in base 12
2. a factorion in base 10
3. a semiprime
4. a square of a prime
5. its cube in base 10 uses only 3 distinct digits

Rem: I have built it bottoms-up. Hope there is only one solution...

(In reply to Solution by tomarken)

Straight reasoning!

However in

"    2 across: We know that it's x2x01.  The only values in the range that are double a permutable cube are 146 (12102) and 226 (22101).  It must be 226 (22101)....."

replace the word cube by prime

to make your solution flawless.

Posted by Ady TZIDON on 2014-03-29 07:47:19