Destination Genoa Hamburg Nantes Marseille Lisbon
Origin French Polish Lithuanian British Spanish
Colour blue red black white green
Ferry Time 5 o'clock 6 o'clock 8 o'clock 9 o'clock 7 o'clock
Load ? coffee ? rice bread
The police should raid ...
Clues 1 and 19 tell us that
Also, by clues 15 and 18, he must be wearing
Clues 5 and 16 tell us that
Clues 11 and 12 tell us that
But we know Michael is in the 5th, so (also using clues 8 and 14):
Clue 20 tells us the Marketing boss isn't at the 5th position, so by elimination of departments and ages, and using also clues 4 and 17:
Clue 3 ...
It is not possible.
Any solution to this puzzle must also be a solution to the 9x9 Queens puzzle. Luckily, that is a well-known puzzle. It has 352 solutions, but due to symmetry, those 352 solutions can be reduced to 46 solutions. After that, it is just a matter of checking against those 46 solutions.
I found a page showing the solutions at: http://stamm-...
This is long. Like, really long. Pull up a chair.
I’ve been working on this for several days, and I think it’s finally correct. I may have made a minor slip up somewhere – please let me know if I have! But I believe almost all of my deductions are correct, and the back of the puzzle is broken.
There have been three major ...
The canonical Einstein's Puzzle can be solved using a grid of possibilities, and the easiest way to do so is to track each of the possible states.
Each letter in this grid stands for the associated entity:
Nationality stands for Enlgishman, Swede, Dane, Norwegian, and German
Colors (house color) stand for Blue, Green, Red, White, Yellow
Animals stand for ...
I know this type of puzzle simply as a "Logic Puzzle" or sometimes "Logic Grid Puzzle" (see Wikipedia entry here).
It's impossible to come to a fixed number, because each clue may reveal a different amount of information. For example "The Englishman lives in the red house but doesn't own a dog" essentially has two clues.
Even if you break those down into ...
1. Charley's favorite only needs 3 unique letters
9. Dad's favorite starts the same as Charley's
3. Fred is a big fan of birds
6. Mary's starts with the same letter as Fred's
7. Heather likes mythical creatures
11. Peggy's was swimming in the water
13. Kyle's shares 3 letters with his name
At this point the remaining animals are Aardvark, ...
The six hint are highlighted in this image:
Fourth hint - solved by @Jens
Fifth hint: - solved by @Jens
The final solution and the logic grid is the following:
Irene and Yvonne are from the same state
Michael and Emily are from different states
The Patterson from Montana
Finally, we can show that the clues are consistent with an example.
And indeed this example fits all of the clues.
I think the solution is:
(in format: name - old position -> new position)
First, notice that
we also know about
We should notice, that
Next, we should use that
Now, we know, that
Finally, Megan mentioned, that
We have four people (B,G,K,N), four objects sighted (balloon, kite, plane, telephone pole), and four days (Tuesday, Wednesday, Thursday, Friday). Here's the information we've been provided with:
K's day was earlier than balloon day.
K's day was later than kite day.
G didn't spot the kite.
Friday was either B's day or plane day (or both).
N's day wasn'...
The only possible solution is
The position of the three 1s is immediately clear from the minus signs. This helps a lot because we can now always disregard 1s for multiplication clues.
Next to the 5 there can only be a 2 or 3. If we use a 2 we would need at least four 3s to solve the grid (We would need another 3 below the 3 directly below the 1).
First of all place F somewhere, I put him in the bottom chair.
Statement $3$ forces K to be in the right chair.
Statement $8$ forces M to be in the top chair.
Statement $4$ allows Sparrow be top-right or bottom-right. Let's assume Sparrow bottom-right.
Statement $5$ means that Sparrow is directly facing E, so E is top-left.
After studying the puzzle I believe that finding a solution by hand would be feasible for a good mathematician with time to spare. I also believe that the number of possible solutions is quite big.
Using a computer program I have found a solution:
-42 22 23 7
13 11 -32 14
-23 16 15 8
19 9 -22 1
It has the following square sums:
4 24 ...
This is quite easy to formulate as a 0-1 integer linear programming problem and then throw at a specialised solver. With no objective function to optimise, lp_solve takes less than a second to give:
If I ask it to minimise the total sum, it gives
Verification from clues:
The hacker with 36 wins isn't from Portland.
The hacker from Los Angeles is either Yvonne Ware or the hacker with 4 losses.
Yvonne Ware is from Miami.
Hannah Hak has fewer wins than the hacker from Boston.
Diane DeAscii has 3 more wins than the hacker with 12 losses.
Of the hacker from Philadelphia and the hacker ...
There is not enough information to determine which person chose Actress E.
Suppose we have a situation that satisfies all of the statements. One person chose A, one chose D and one person chose F. Out of these three people, at most one likes cartoons. Then we can switch E with one of the other two, producing another situation that satisfies all of the ...
Thanks to Morgan G I could get the last three sports I was missing. I also could not figure out 14.
1) The sportsman in the blue jersey finished at a better place than
the one in the yellow jersey.
We start with some easy observations:
"Damian knows only one of the thieves" and "the hacker is the only one which knows only one other": This implies that Damian is the hacker
"The hacker and the overlooker do not attend to the meeting" implies that the accessory after the fact attends the meeting.
"Bob will never know the accessory after the fact" ...