Questions tagged [strategy]

A puzzle whose solution is a methodological plan of action for realizing a specific goal.

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3answers
530 views

Rapunzel and the Prince

This is a simple mathematical puzzle, which I decided to improve a bit one year after posting. Some of the answers below consider slightly different, but equivalent setting of the problem. Rapunzel ...
2
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2answers
718 views

Which switch is faulty?

How to solve this puzzle? This puzzle is taken from the book The Ultimate IQ Test Book by Philip Carter and Ken Russell.
2
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3answers
336 views

Capture The Runaway Mouse

Say you have a grid of 16x16 squares. Label them A through P and 1 through 16. Now say that at H8 there's a mouse that moves at 1 slot every turn. Also, you get to block a tile every turn. Say the ...
2
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1answer
438 views

Another 2016 coins and a balance

This continues the puzzle "2016 coins and a balance". Again, there is a balance with two pans on the table. Again, the display on the balance tells the difference between the weight in the left ban ...
2
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1answer
345 views

Another Tic-Tac-Toe problem

Two players A and B play Tic-Tac-Toe on an infinite 3-dimensional grid. Player A starts first and uses X, player B plays second and uses O. Every time player A places an X on the grid, player B can ...
2
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2answers
151 views

Halve or diminish, and race to unity! v2

This is follow-up question to Halve or diminish, and race to unity!. Alice and Bob are playing a game. In the beginning, they randomly choose a positive integer between $2$ to $n$ where $n$ is a ...
2
votes
1answer
376 views

Numberlink strategy

Note: This is not asking for a general strategy, you can find that here. Is the following a valid strategy in solving Numberlink (Flow Free) puzzles (I like to call it 'unwrapping the grid'): ...
2
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3answers
359 views

Mr. Hilbert and the Problem of the Rogue Resistor

It seemed like a coincidence, but just as Mr. Hilbert finished the checkout procedures at the front desk of the Grand Hotel, the lights went out. "What happened, Mr. Cantor?" Mr. Hilbert asked the ...
2
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3answers
230 views

Drawing squares

Anafenza and Zurgo are playing a game. They have a playing board of $23*92$ squares. The idea of the game is to put a square(of any size) onto the playing board. The one who can't put any more ...
2
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2answers
255 views

Radioactive River

You, Alice, Bob, Charlie, Daniel, Elisa, Fred, and Greg are playing a cooperative game called Radioactive River. They have to get across a 20 meter carpet/radioactive river, and they only have: 3 ...
2
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1answer
164 views

Taming a Bomb Puzzle (Part 3 of 3)

The part 1 can be found here: Taming a Bomb Puzzle (Part 1 of 3) The part 2 can be found here: Taming a Bomb Puzzle (Part 2 of 3) The Mechanics Ampera Bridge, the famous landmark of Palembang City ...
2
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1answer
144 views

Taming a Bomb Puzzle (Part 2 of 3)

The part 1 can be found here: Taming a Bomb Puzzle (Part 1 of 3) The Mechanics Ampera Bridge, the famous landmark of Palembang City is in danger! A terrorist has sticked a bomb in the middle of ...
2
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1answer
629 views

Optimal game of Bluff (not the wikipedia one)

Rules Basics 52 well shuffled cards are dealt equally to both players. Player 1 starts the first hand. The game consists of a number of rounds, which are played as follows. On each round, players ...
2
votes
1answer
201 views

Master and Slave versus Bob: easy version

Continuation of: "Sub-puzzle: Master and Slave versus Bob the Violent but Honest Psychopath" Continued in: "Master and Slave versus Bob: hard version" Previously I described a game that is played ...
2
votes
1answer
323 views

Master and Slave versus Bob: hard version

Continuation of: "Sub-puzzle: Master and Slave versus Bob the Violent but Honest Psychopath" and "Master and Slave versus Bob: easy version" The hard version is identical to the easy version (see ...
2
votes
1answer
108 views

Leveling up and Getting Items! v2

This is follow up question to Leveling up and Getting Items! You are playing an online RPG game with 9 friends of yours (10 people in total) and in the game, there is a 2-player dungeon where you ...
2
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0answers
121 views

Ten users, ten deadly collars and three lights [duplicate]

One day, 10 puzzling.SE users, including you, find yourselves in a horrible prison. Each of you has a deadly collar, presently lethal. It is safe to take off only when all of the 10 collars have been ...
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0answers
937 views

Strategy for solving many-clue detective puzzles [closed]

There are some puzzles that require sorting out many possible clues, such as The SErial Killer's killer and Mysterious Murder Mystery 3. They are often mysteries. What is a good way to organize ...
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4answers
1k views

How to share this cake? [closed]

You invite all your friends to a birthday party. Three of your friends came. At the party, you need to share your cake equally with everyone. The friends that came aren't your best friends, so you ...
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2answers
4k views

Burning Island - how to survive the fire? [closed]

A man is stranded on an island covered in forest. There are no other humans or animals, he is the only one who lives on the island. One day, when the wind is blowing from the west, lightning ...
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2answers
643 views

Strategy in Coloring a 4x4 empty grid and the one who completes any 2x2 area of the grid is the loser

Alice and Bob are playing the following game: They have a 4x4 empty grid and take turns coloring one square each, starting with Alice. Assume that both players will colour the squares in with the same ...
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2answers
266 views

The Monster and the Chessboard [duplicate]

You have a standard checkerboard with 64 squares and a coin in each square, randomly facing heads or tails up. There is an evil monster in the room with you and he arbitrarily selects some square and ...
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1answer
659 views

Eat sweets and start your own business!

The manager of the local sweetshop, one Minty Ball, has announced a grand closing down sale. They sell $n$ varieties of sweets: toffees, sherbets, fudge, and so on. Let's just call the varieties $V_1,\...
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2answers
539 views

Roulette tournament?

You have been invited to play in a French Roulette tournament. The tournament-specific rules are as follows: You start with 100 tokens Play lasts for 5 rounds Minimum bets based on color, low/high (1-...
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1answer
167 views

An Indefinite Hiatus from Prison: The Recapturing

A prisoner has escaped from the maximum security prison in puzzlevania! Apparently, the prison's security system - which was composed of guards who either always tell the truth or lie and doors with ...
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3answers
861 views

Lalozik Pattern

Vasily Lalozik is a professional cryptographer and develops new security schemes for banks. But he has one problem: David Banes. The American Bank is the largest bank in the world; Banes has his ...
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1answer
88 views

How to make a 2v2 rotation with 5 people

I'm running a volleyball club at school and we currently have 5 active members. Is there a way of having everybody play in a duo with everybody else and have one person sit out each game practising? I ...
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1answer
382 views

What's a good Boxes Strategy?

What would be the strategy for the game Boxes? (Boxes is the game in which players connect dots on a grid and whoever encloses a box gets a point, along with an extra turn, until all lines are made)
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1answer
92 views

How Should I Go About Answering Square Spin Puzzles?

The Square Spin series of puzzles is a bit abstract. There is quite a lot for newcomers to digest and getting started may be daunting. Even if you thoroughly read the rules and intend to attempt one ...
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2answers
285 views

Solution or Origin of logic puzzle

This is not my puzzle and I do not know the solution. This was shared to me by a friend. Their former boss told them this riddle. I was told this question originated from Steven's Institute of ...
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2answers
2k views

Ball Weighing Riddle

A twist on the classic, "how many weighings to find the odd weight ball in 9 balls". Suppose there is n balls. There are two types of balls. One type weighs less than the other. In the set of balls ...
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1answer
117 views

Guess the coin toss [duplicate]

You and your friend are put in two different rooms with just a coin and no way to communicate. You both toss the coin at the same time. Your task is for at least one of you to guess correctly what ...
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1answer
395 views

What is best strategy to multiple turn prisoners dilemma, when your opponents actions are hidden?

Best strategy for multiple turn prisoners dilemma is called tit for tat you start with cooperation and then repeat your opponents answer from previous turn. Is ...
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1answer
181 views

Shedding some light [duplicate]

There is a room with a single light bulb in it. Outside the room there are three light switches. You cannot see inside the room at all. Only one light switch turns on the light bulb. You may only ...
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1answer
196 views

Logic Coin Question [duplicate]

Please view comments to see how it is not a duplicate.... I am looking at it from a CPU perspective. If there are 23 coins that are on a screen, and there are two players and you get to pick if you ...
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1answer
166 views

Another Unconventional Dice Blackjack game - is Nash equilibrium here?

This question is similar to This Dice Blackjack game - is there Nash equilibrium?, but the game rules are completely different. This Dice Blackjack is game for two. It is also played with fair six-...
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0answers
105 views

What are some tips to solve an environmental-based enigmatic puzzle (EBEP's)?

First, some rough definitions: enigmatic puzzle: a problem where the goal / answer should be well-defined (e.g. enter a certain word or phrase into an form which is accepted; find a clue to a ...
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0answers
188 views

Can a group of professors determine their average salary without learning any information about each other's? [duplicate]

A group of at least 5 jealous professors are locked in a room. There is nothing else in the room but pencils and one tiny scrap of paper per person. The professors want to determine their average (...
1
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1answer
622 views

How many doors are there? [duplicate]

You wake up in the center of a large, homogeneous, nearly-circular room. Along the edge of the room, are many doors, each looks identical to the last. When you stand at one door and look across the ...
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0answers
203 views

Shooting an invisible rabbit [duplicate]

An invisible rabbit sits on one of the posts of an infinite fence. A local farmer cannot stand this fact and wants to shoot the rabbit down*. Every time the farmer shoots her gun, the rabbit jumps to ...
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5answers
678 views

One Hundred Prisoners and a Rubik's Cube

Say there are 100 perfectly intelligent prisoners (who don't have incredibly good memories) who are jailed for life (and also live eternally). The warden decides to play a game with them. There is a ...
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1answer
949 views

How could I have avoided this mistake in Minesweeper?

The puzzle grid pictured below is a prime example of the classic rush to judgment: I was so sure of my decision, but when I double-clicked to clear more cells, the cell to the left of the one I had ...
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6answers
449 views

Data Sharing Between 3 Players [closed]

Consider a situation in which two companies hold data about individuals: the first company holds individual's names, and their age. The second company also holds the individual's name, but instead of ...
0
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3answers
727 views

Where the hell is Vincent?

Vincent was a software engineer working at Bell Inc, and well...he's gone insane. He is said to suffer from clinical schizophrenia, autism and severe anxiety. But there's one golden fact about his ...
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2answers
154 views

Finding a line on a plane

Imagine you are on an (in)finite 2d-plane (and confined to walk on it). There's a straight line somewhere on the plane, but you don't know where it is and neither can you find it by looking from afar. ...
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3answers
389 views

Rullo solving strategy for 2-4

How to eliminate/nominate candidates without guessing? For the 3s it's quite easy because of the odd numbers but how to get further?! For thoose who don't know the game, here's a short introduction:...
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3answers
336 views

Sub-puzzle: Master and Slave versus Bob the Violent but Honest Psychopath

[I created this as a sub-puzzle to "Strategy to beat the Casino reversed", that has been sitting unsolved for months. You may wish to read that puzzle first, but this is self-contained. My answer to ...
0
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3answers
375 views

This Dice Blackjack game - is there Nash equilibrium?

This dice Blackjack is game for two - bettor and dealer. It is played with fair six-sided dice. Bettor: Bettor starts the game. Bettor can roll dice as many times he/she desires while the sum of ...
0
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1answer
229 views

Is there any specific way to play Solitaire?

I am interested in finding out if there is any specific way (algorithm) to play solitaire (not the card game)
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1answer
81 views

Taking a ball from basket challenge [duplicate]

I have 10 red balls, 10 blue balls, and 2 baskets. You are free to choose the numbers of red balls, and the numbers of blue balls to put to the first basket. Then you have to put rest of the balls to ...