Black and White, MUMS 2010, puzzle 4.2
This puzzle (available here) is pretty much a grind through it puzzle. We finished in about 1h27m.
I usually hate logic puzzles that require guessing/branching instead of strictly logical steps. But I got very used to using those tactics with these. Our log is after the cut.
Log:
- 0:00:00
- Opening puzzle
- 0:00:40
- Printing. definitely needs printing.
- 0:02:04
- J: So there are 2 ways to make a 1x1, 3 ways to make a 1x2 and 6 ways to make a 1x3. That gives 26 squares but we only have 5x5 grids. So you won’t use both 1x1s.
- 0:03:12
- J: It’s easy to tell which by counting the number of black and white squares. The 1x1 is probably the letter you pick.
- 0:03:23
- grid 2, there’s only one 3B and one 3W. easy in.
- 0:03:51
- we’re dividing them up. no reason to cooperate.
- 0:08:03
- Solved #2.
- 0:12:01
- J solved 1, I solved 3. we have ONE so far.
- 0:15:47
- Solved 4. M. we have ONEM
- 0:18:17
- Solved 9, R
- 0:19:13
- J: 21T
- 0:22:47
- 10I
- 0:26:45
- 6R
- 0:35:39
- got 12 U (after struggling with 8 for 6 minutes)
- 0:36:53
- 14 P [This grid was ambiguous, and P was the wrong letter. May have slowed down our wheel-of-fortune-ing some.]
- 0:40:41
- 24P, 18C.
- 0:41:45
- J: I figured the pulled out letters would make a new 5x5 square and it would have to be solved the same way. But there aren’t 3 blacks in a row.
- 0:47:21
- 17A
- 0:50:10
- 11D. A quick note: my solving method is: hopefully a force 1x3 (two, if lucky.) then brute force bifurcation, focusing on the color with only 12, since it can’t have a single.
- 0:51:11
- J: I think it starts ONE MORE GRID
- 1:00:36
- Struggled with 23, finally got I
- 1:01:29
- Could end BLACK STRIPE
- 1:02:18
- we’ll assume BLACK for now and not solve those
- 1:05:04
- 13 S. maybe 14 is E
- 1:06:02
- 14 is ambiguously P or E. J thinks: ONE MORE GRID USE BLACK STRIPS [J is correct, well done Jonathan!]
- 1:06:47
- J: the black ones are ONMOIDSEACSTR
- 1:10:56
- Maybe we have to put the letters where they came from in their original grid, not where their grid is in the big 5x5 [Well done, Eric. Key aha]
- 1:11:37
- J: or what’s in the 1x3 black strips
- 1:15:48
- No conflicts in the “which square did they come from” meethod so far. .u.A. iC.D. MISe. N.r.E Op.r.
- 1:16:38
- We only need the black letters, so we need to solve 5 20 21 22
- 1:16:58
- J has more. now we have su.Ab iC.D. MISeg NSr.E Op.rl
- 1:19:59
- Apparently we have all 12 black squares now. su.Ab iC.DO MISeg NSrTE Op.rl where the dots have to be white.
- 1:21:36
- No, there are 13 black squares.
- 1:24:22
- The R from 22 goes top row, middle.
- 1:24:28
- Solving the last grid. suRAb iCkDO MISeg NSrTE Operl
- 1:26:57
- J guessed DOMINO, CORRECT! [I was almost done solving the final grid. He just guessed from eyeballing the black letters. I got the brute force work mostly, J got the educated guessing role.]