BrainDen.com - Brain Teasers

# antipope

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1. ## Brain game from computer science

Nice! I wasn't sure if someone would be patient enough to solve this on paper For those of you who liked this, there's a game for Android and this is exactly one level from this game. It's called J-Fizo and you can find it on Google Play if you have Android phone or tablet. If you get to H level, email me at bd@atablash.pl, send me your email address registered with Google Play; I will add you as testers so you can play the rest of the game for free. Let me know how far you got since I don't think anybody can pass this entire game without brute-force computer approach PS Here's k-man's solution in animated GIF form (in fact it is the minimum possible number of moves):
2. ## Brain game from computer science

I came up with an idea for a brain game. It's a modification of something called an automaton. Automata theory is a part of theoretical computer science. The game looks like this: You can draw those 5 colored edges on a piece of paper and place 2 pawns at the top 2 vertices. The goal is to end up with only 1 pawn. To reach the goal, you can make moves of 3 types, one type for each color, call it C: When you select color C, you locate every edge with color C such that there is a pawn on one end and there is no pawn on the other end. Let's call these edges C-triggered. Then you move pawns along C-triggered edges: - If there is a pawn adjacent to k C-triggered edges, it splits into k pawns. - If more than one pawn arrives at the same destination, they are merged. In other words, after color C move, every edge that was C-triggered is "swapped"; that is for each end vertex if there was a pawn before, now there isn't and vice versa (note that there is a pawn on exactly one end since edge was C-triggered). Can you solve the problem instance on the picture? What is the minimum number of moves? You can post the answer in the form RRYGYGR..., where R=red, Y=yellow, G=green.
3. ## Hello!

My name's Adam, I live in Poland, I study computer science and I'm here to show you my idea of a very difficult brain game. It looks like this is the place where it could get appreciated. The idea comes from automata theory and the game is extremely difficult for a human, although can be easily solved by brute-force approach so it's something like Sudoku in this context. I will post one instance of the problem to solve in appropriate section on this forum. We'll see if you like it. Actually I've written this game already but I don't want to be banned instantly for spamming you and leave a bad taste, so I won't give you any link and just wait to see if you want it yourself From other stuff, I love algorithms and programming contests like Topcoder or Codeforces. Naturally, I'm interested in math too. I always liked math riddles, this is my favorite: http://en.wikipedia.org/wiki/Monty_Hall_problem
4. ## The hardest Sudoku problem?

It looks like this problem is not solved yet, is it? According to Wikipedia (and some paper from year 2012) the number you're asking for is larger than **. EDIT: Ok, I think this paper has the solution
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