Bloggers Wanted
We're looking for people to help with the main blog. If you are consistent, knowledgeable and you're into it, please drop me a note.
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mortimer
 Senior Boarder
Posts: 56 
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On this line appears _ 0's , _ 1's, _2's, and _ 3's .
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Pierre-Normand
Expert Boarder
Posts: 94
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Spoiler Space 5 . . . . . 4 . . . . . 3 . . . . . 2 . . . . . 1 . . . . .
1 0's, 2 1's, 3 2's and 2 3's
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kdavis004
Senior Boarder
Posts: 77
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On this line appears one 0's , one 1's, one 2's, and one 3's .
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Mathew
 Senior Boarder
Posts: 65
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On this line appears 1 0's, 4 1's, 1 2's, and 1 3's.
(The number of 4's isn't specified.)
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JohnBStone
Expert Boarder
Posts: 80
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Ondigitsthisdigitslinedigitsappearsdigits_digits0'
sdigits,digits_digits1's,d igits_2's,digitsanddigits_digits3'sdigits.
(Tricky. I almost missed the blank space near the very end.)
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Javid
Senior Boarder
Posts: 67
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The solutions already posted work for various bases:
base >= 5: On this line appears 1 0's , 4 1's, 1 2's, and 1 3's.
base >= 4: On this line appears 1 0's , 2 1's, 3 2's, and 2 3's. On this line appears 1 0's , 3 1's, 1 2's, and 3 3's.
But neither the base nor the number of digits per blank is specified in the puzzle, so here are a few more ...
base = 5: On this line appears 1 0's , 11 1's, 1 2's, and 1 3's.
base = 4: On this line appears 1 0's , 11 1's, 2 2's, and 1 3's.
And if the 'counting digits' are allowed to be in a base different than the others, then ...
base = 2: On this line appears 10 0's , 111 1's, 1 2's, and 1 3's.
Are there any solutions like this for base = 3?
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johngnova
Senior Boarder
Posts: 65
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You don't need that qualifier. After all, even in binary, you can refer to the symbol '2,' it just doesn't mean 'two' 
Can I use leading zeroes?
On this line appears 012 0's , 012 1's, 010 2's, and 1 3's
I haven't yet thought of a solution without leading zeroes of some sort. |
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