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# Questions tagged [strategy]

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

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448 views

### Two knights jousting on a chessboard

Two knights (black and white, the latter going first) start on opposing corners of a chessboard, moving across it in the usual manner, attempting to capture each other: the knight who first lands on ...
488 views

### The Unknown Prison of Unknown Size

Inspired by The Circular Prison of Unknown Size by @MikeEarnest (Great puzzle, by the way!) The rules are almost same, so I won't waste time by rewriting them all here. (They're still valid, though.) ...
386 views

### $N_{max}$ balls in 3 weightings

This is a small generalization of well known 12 balls puzzle: You are given two-sided scale and some number of balls. All balls have the same weight but one. It is of a different weight, although ...
114 views

### Magical election of novices in a monastery [duplicate]

In a monastery, there is a special rite to elect new novices. All candidates (we're talking of a huge number, so let's assume an infinite amount) gather together in one hall that gets locked, so that ...
549 views

### Word game - possible to play all words?

You're trapped in a chamber and the only way out is to beat the chamber guardian on his own game: Word88. Both of you each take a turn to play a word. You can play one of the following: Add Play - ...
686 views

### Move 2 or 3 spaces in this 5 by 5 grid

You have a 5 by 5 Board as shown. You start from the S (Center) position. You can: 1 Move TWO or THREE spaces only 2 You can move Vertically or Horizontally or Diagonally but only in a straight ...
353 views

### How to beat Count Dracula, part 2

This is a follow-up to "How to beat Count Dracula". Abraham Van Helsing and Jonathan Harker play a game against Count Dracula. The three players agree on the following rules: Count Dracula and ...
384 views

### A Very Odd Game

Barry, John, and Caleb, all perfect logicians, were very bored one day and they decided to come up with a new game (they haven't got a name for that game yet). The rules were quite simple : The first ...
209 views

I'm sure this has been asked before, but I tried searching and couldn't find it. I don't know the solution, and it is possible there isn't one. There is unsavoury pirate and an unscrupulous merchant....
480 views

### Coin Splitting Game [closed]

There are 8 coins to be divided between A and B. A first makes an offer of how to divide the 8 coins between them. If B refuses A’s offer, then now it is B’s turn to make the offer, but this time 4 ...
531 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 ...
144 views

### Sleeping Beauty Study at the Institute of Mad Science [closed]

You've been approached to assist in the furtherance of SCIENCE as a research subject at the Institute of Mad Science (local branch)! The experiment you'll be involved with is called the Sleeping ...
773 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.
340 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 ...
441 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 ...
347 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 ...
152 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 ...
391 views

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'): ...
365 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 ...
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 ...
258 views

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 ...
166 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 ...
145 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 ...
208 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 ...
327 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 ...
113 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 ...
122 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 ...
952 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 ...
1k views

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 ...
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 ...
655 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 ...
271 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 ...
663 views

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,\...
545 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-...
179 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 ...
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 ...
90 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 ...
386 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)
104 views

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 ...
293 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 ...
3k 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 ...
134 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 ...
405 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 ...
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 ...
152 views

### Don't Fail MY Exam [duplicate]

A professor decides the following grading scheme in his class. After the final exam is graded, he keeps all the papers upside down on his table in a random order so that no student can recognise his ...
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 ...
171 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-...
110 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 ...