Solving Really Hard Puzzles
CISRA 2010 1B/1C: Casino & Calculated

Unfortunately, I did not get the Aha for Calculated in my initial rush. I probably gave up too early, looking back. 

Solve time of 18 minutes for Casino, and … well, it’s hard to say for Calculated.

Puzzles are at http://puzzle.cisra.com.au/puzzles.php . Short logs for each are after the cut. 

I’ll put Casino into the answer checker here, but you can check any CISRA answer at http://puzzle.cisra.com.au/solve.php .

Log:

0:00:00
Opening puzzle
0:00:25
Big file..
0:00:43
Oh god. Big image. Printing.
0:01:26
Colors in the bottom half are darker… are they the undersides of the top dice? Will examine and see.
0:02:54
Just looking at the dark purples, it seems so.
0:03:01
Let’s go in rainbow order, since I think we have red orange yellow green blue indigo violet dice.
0:03:19
Pairing up the reds. (drawing lines between, in light pencil)
0:03:29
Nope, that’s not exactly working. Two identical red dice at the top, for example, make it ambiguous, at best.
0:05:07
Oh, ok, the dice are in the same arrangement in the two photos. But some dice are rotated (so far, one turn) and some aren’t…
0:05:33
So, we have 9 red dice, 4 are rotated between images… the hidden numbers are 3,4,6,2 (and the repeated numbers 4,3,1,5)
0:08:21
Looking at yellow. There are 6 turned. out of 10. The turned ones repeat 2,3,4,5,1,6. The hidden ones are of course the same.
0:10:37
I don’t know why I skipped orange. Starting orange after trying to decode red and yellow with no luck.
0:13:04
8 orange dice 4 no rotation, 2 each cw and ccw. Duplicated numbers 1,2,3,4 
0:14:06
oh, the reds go 1,2,3,4,5. There are 5 rotated.
0:14:28
The reds, in that order, make an R
0:14:32
The oranges, a U
0:14:43
The yellows, a B
0:16:00
First pass on green, just got a 1 and 2, diagonal. (slash?). rechecking
0:17:15
Oops, they’re stacked. an I
0:17:26
Guessing RUBICON [Short-circuiting puzzles feels so good and so wrong at the same time. This wasn’t even a serious short-circuit, but it still feels like I should do all seven.]
0:17:53
Correct!

Calculated

Log:

0:00:00
Opening puzzle
0:00:43
Ok, math problems, with boxes for digits
0:00:48
At first it looked like some of the edges of the boxes had different weights, on zooming in…
0:01:13
That no longer seems to be the case. Printing.
0:03:21
Looks like there are 25 equations with 4 boxes each…
0:03:48
Then a 25 box equation at the bottom. And the boxes seem to be digits, not numbers, because there are two stuck together, but that’s not certain.
0:05:15
So, what numbers go into the boxes? 1234? 2010?
0:05:34
2010 doesn’t work.
0:06:59
I don’t think 1234 can make a single digt in any order in (a+b)!-(c*d). If it’s 3! then it’s 6-12, and if it’s 4 factorial, it’s 24-8.
0:09:40
Hmm, (a!+b!+c!)!+d doesn’t seem like to give a digit.
0:11:22
It can’t be all the same digit, at least in some rows… the 2nd one would produce a negative number.
0:12:51
If every row uses the same four digits… could they be 8111?
0:13:32
Lots work, but (a+b+c)!-d doesn’t.
0:14:43
Does 2111 work?
0:16:52
So far I get 11324824, but the last two are ambiguous, and most are powers of two… can the 3rd one also be?
0:22:21
Not all of these are uniquely determined. But they all seem to work.
0:23:22
Crap, 23 and 24 both don’t work.
0:24:18
So, does any set work in 23 and 24?
0:25:02
I guess the answers don’t have to be digits… but then what restrictions are there at all?
0:26:19
I give up for now

And then later I had the aha and it just worked. Not much of a post, sorry.

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