# Questions tagged [strategy]

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

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### Optimal number of weightings in marble problem

Consider $N$ pieces of marble. The pieces of marble look identical to one another. One of the pieces is heavier than the other. In other words, out of the $N$ pieces, $N-1$ have the same weight and $1$...
349 views

### Perfect strategy for the 2nd player in 'The coins on a table game'

I've just seen this and looked at the duplicate post it directs me to. I'm interested in a point raised in one of the comments in the answer, although it wasn't resolved in that question. It is ...
154 views

### Lattice hopping

A bunny is hopping around the plane. She must land on the following $25$ points on the main diagonal (multiples of 4): $(4, 4)$, $(8, 8)$, $(12, 12)$, $\ldots,$ $(100, 100)$, (The bunny can land ...
938 views

### Game against the Devil

While browsing through S.E you notice a spider crawl right out from under your keyboard! Startled, you twitch your hand and left clicked your mouse. You look up in shock as you notice that you just ...
98 views

### How to effectively hide an earth rebooter thingy [The Good Place Season 4 spoilers]

This puzzle is unsolved. I don't know if there is a solution or how to solve it. I'm also not sure what type of puzzle this would be, so if anyone wants to correct the tags, feel free. Imagine you ...
270 views

### Another variation of the game of Nim

Two players set several piles of chips. The piles are arranged in a row from left to right. By turns each player takes one chip from one of the piles and adds at will as many chips as he/she wishes (...
325 views

This is an extension of the puzzle The Minotaur's Labyrinth which is inspired by the comments from histocrat. You are trapped (again) in a chamber at the center of the minotaur's labyrinth. There are ...
2k views

### Sorting 4 numbers using “maximum” & “minimum” between 2 numbers

I'm having some trouble solving this thing. You're given an unlimited number of "black boxes" which will return the maximum or the minimum between 2 inputs. The goal is to compare/sort 4 numbers ...
184 views

### How the best card can I choose?

Me and Varun playing a game of cards (standard deck of 52 cards). In which we distributed 5 cards to each other. Edit: We have seen each other's cards. We have to put the cards in a line one by one ...
693 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 ...
629 views

### A poker player, a telepath and a clairvoyant

There are three poker players, who are playing heads-up against each other. One of them is a usual poker player. Another - a telepath, who can read thoughts. So if you know your cards, he knows them ...
445 views

### Entertaining the Clumsy Coin Flipper

Stan (the clumsy coin flipper) is playing with his favorite toy: A set of $3n$ coins arranged in a circle, each one either heads up or tails up. He enjoys flipping these coins, but he's not very good ...
452 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 ...
492 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.) ...
394 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 ...
555 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 - ...
711 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 ...
356 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 ...
399 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 ...
212 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....
496 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 ...
534 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 ...
153 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 ...
817 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 ...
350 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 ...
153 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 ...
402 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 ...
260 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 ...
170 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 ...
147 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 ...
215 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 ...
332 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 ...
115 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 ...
127 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 ...
962 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 ...
663 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 ...
731 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 ...
275 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 ...
666 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,\...
564 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-...
181 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 ...