# Questions tagged [strategy]

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

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1k views

### Can you catch the thief?

This was a puzzle I recalled from university a couple of years back. I don't know what the original puzzle is but if someone knows it, please let me know so I can credit the source. You are a police ...
1k views

### Escaping a hungry lion you can't outrun

You are at the edge of an enormous circular arena. A hungry lion is eying you from the centre of this area. You are both capable of running at the same maximum speed, but constraint within the arena. ...
648 views

### Reverse dots and… cubes? - Snowflake edition

A Reverse dots-and-boxes puzzle inspired by @jafe Albert and Robinson are playing a game of reverse dots and boxes. The players take turns adding one plane in one free spot on the grid (...
2k views

### The knight's game

Alice and Bob play the following game on a standard $8\times8$ chessboard. In the very beginning, Alice picks a square on the chessboard and places a knight on this square. Then Bob and Alice ...
1k views

### Number swapping game

Number Swapping Game The Initial Board Setup: The Rules: A move is made by selecting one of the 9 cells. When a cell is selected, the number in that cell swaps places with the largest number ...
2k views

### Checkers with the devil

After however much inordinate time passed for the tree-pruning game to finish, you ended up winning, and Satan was infuriated. He was sure he'd come up with a game keep you in hell. But once again, ...
810 views

### Can the policeman actually catch the thief, instead of shooting?

The ACLU won a lawsuit against the Squareshire Police Department, alleging that his policy of shooting suspected thieves on sight was unconstitutionally excessive force. The argument that carried the ...
9k views

### How do I approach a “stuck” game of minesweeper?

I've played many a-game of minesweeper, and I frequently reach positions in which there is no logical, deterministic way to come to a conclusion about how I should solve the puzzle. How should I ...
3k views

### Deceptive dice game

You must create a set of 6-sided dice and play a game with an opponent. The dice are like regular dice, but you can change the numbers on the dice. For example, regular dice have sides ...
1k views

### The game with cookies on a red and a blue plate

Aabzaari and Basharat play a game, alternating turns with Aabzaari going first. At the start of the game, there are 20 cookies on a red plate and 14 cookies on a blue plate. A legal move consists in ...
753 views

### Lots of Gold Stacks and a Balance Scale

You are given X amount of stacks of golden coins, each stack consisting of ten (10) golden coins and a digital balance scale with perfect precision that shows how much difference between weights you ...
2k views

### Find number 8 with the least number of tries

You and your friend plays a game. In this game, there are numbers written on the cards from 1 to 12 on one side (so 12 cards in total). The other side is blank. You can write anything on the blank ...
2k views

### Can you open the door or die?

You wake up and find yourself in a very strange room with a single door. You find a note on the ground surrounded by lots of cards: There are 66 green and 66 blue door cards on the ground. If you ...
2k views

### Amelia Earhart Challenge

Airplanes can hold enough fuel to fly halfway around the world. The only source of fuel is a single airport, which is also the only place planes can take off and land. However, planes can transfer ...
2k views

### Three knights searching for a princess in a castle

There is a castle with rooms arranged in a 4x4 square grid. The princess living in the castle sleeps in a different room each night, but always one adjacent to the one in which she slept on the ...
1k views

### Who wins the AI-game?

Anna and Isadora play a game by writing letters on the blackboard. In the first round, Anna starts by writing down the letter $A$ or the letter $I$. In the $n$-th round with $2\le n\le 999$, Anna ...
2k views

### Using a balance scale the minimum number of times, find the median weight person

There are 15 person with different weights. What is the least number of tries required to find the middle (median) weight person? How? The only tools you have is your brain and a balance scale with ...
538 views

### 2019 gold coins to share

You and your friend has found in total 2019 gold coins in a treasure hunt. Since your friend found the place to dig up, he deserves a bit more gold than you so you offer a game to share the coins to ...
1k views

### General strategies for solving metal disentanglement puzzles

(When I talk about metal disentanglement puzzles, I have in mind Hanayama and Tavern puzzles.) As opposed to twisty puzzles - which I can approach by playing with commutators and conjugates as a way ...
849 views

### Spiders and Ant on a Cube

There are three spiders and an ant, crawling on the edges of a wire frame cube. The spiders can crawl exactly one third as fast as the ants. Show that the spiders can catch the ant. Think of bugs as ...
629 views

### A Tic-Tac-Toe variant with three marks - winning strategy and chances

We start with a usual $3 \times 3$ grid, $3$ different marks (say, $X, O, I$) and $2$ players. Player $A$ has to make a vertical, horizontal or diagonal line made of $3$ identical marks (XXX, OOO or ...
725 views

### I Have To Be With Them!

It's almost time for another year of school! But before school starts, Principal Little needs to form classes. Because there are so many people in a class, the parents are always complaining, asking ...
405 views

### Dim - A Game with Pebbles

Alice and Bob play a game with a pile of $n$ pebbles. They take turns, with Alice going first. On their turn, a player can remove any number of stones from the pile which is a proper divisor of the ...
388 views

### No-Connecting-4

Imagine a game of connect 4 where Player1 wins by Player2 connecting 4, and Player2 wins by forcing the board into a filled board without any 4-in-a-rows. A tie happens if Player1 connects 4. Now Let'...
829 views

### 16 Two Colored Line up v2

This is the follow-up question for 16 Two Colored Line Up This time, you are not supposed to solve it, but find the worst possible arrangement for each square, which will make the number of steps ...
12k views

### Attach a candle to the wall [closed]

The following is a classic puzzle. It has a canonical solution, but I'd also like any other creative or unusual solutions you can think of. This is a popularity contest - the highest voted answer ...
4k views

### Guess a number between 1 to 27 with 3 Yes/No/Maybe questions [duplicate]

Your best friend (Bob) comes to you with this problem. The Problem His teacher (Mr. Sam) will ask Bob to work out a number in his head between 1 and 27. Bob has to find the correct number, by asking ...
913 views

### Six Musical Friends

Six musicians are participating in a music festival. During each concert, some of the musicians perform, while the others listen in the audience. What is the fewest number of concerts needed so ...
2k views

### 20 coins on the table

Two boys , Brian and Gabe, decide to play a game. They lay 20 coins on the table. Each player took turns taking 1, 2, or 3 coins. Whoever took the last coin won. Brian thought if he went first, he'd ...
1k views

### JonMark Perry's Grid Logic Puzzle

Consider the following puzzle type proposed by JonMark Perry. Start with a square grid of arrows, each one pointing in one of the four cardinal directions. For example: You start at the ...
9k views

### 1 Fake Coin among N Amount of coins

You are given $N$ coins which consists of only $1$ fake coin. You also have a sensitive old-fashioned Pan Balance Scale. You are asked to find the fake coin in totally 5 times weighing on the Pan ...
646 views

### Fight Battle 21

Based off a very, very well-known puzzle The new RPG, Fight Battle 21, is now here! Now with the same three characters as the previous 20 editions! Knight: 6 HP, 60% chance to deal 3 damage Archer: ...
1k views

### Find the minimum number of guesses

Your friend will pick a 4-letter word and you will make guesses in order to find it. -A word can contain only the letters A, B, C, and D, and they can be used more than once. (AAAA-DDDD). -In your ...
637 views

### Ninety-nine non-negative numbers

Alice and Bob play the following game with $99$ numbers $M_1,\ldots,M_{99}$. In the beginning, the $99$ numbers take the values $1,2,4,8,16,\ldots,2^{97},2^{98}$. Then Alice and Bob alternatingly ...
1k views

### Prisoners and minority voting

Disclaimer: this is a scenario that I came up with on my own, and I do not actually know if there is a possible solution. The reason for posting is to see if the combined intellect of PSE can help to ...
3k views

### Labeling wires in a bundle

At a remote location, you just finished trenching a data cable across a large plot of land. The cable has 64 individual wires that are not color-coded or labeled. You have a wire stripper, a simple ...
1k views

### Tree-pruning game with the devil

You won the coin-flipping game against Satan, but being the devil he is, he decided that that game was much too easy, and reneges on his promise to let you go. Instead, he gives you a new, more ...
644 views

### The lone builder

You are a lone builder. You have to build a city on a 10x10 initial empty grid. You can place: a street, which is a blue cell on the top of any cell, a tomato shop, which is a red cell on any cell ...
880 views

### Clear board in Othello

Is there a valid set of moves in Othello that allows a win score of 64-0 for either player? And is there record of any such game in the past?
827 views

### Five pirates splitting gold with a twist

Source: This was posted on the Grey Labyrinth Forums many years ago. The five pirates are back. But this time one of them has the dreaded Zanzibar fever, whose terrible effects are spelled out below....
782 views

### Greedy Chocolate Eaters

Alicia and Bobby play a game with a rectangular chocolate bar, scored into an $m$ by $n$ grid of squares. The children alternate turns, with Alicia going first. On a child's turn, they must break ...
225 views

### The game of Shafiqa and Habibi

Shafiqa chose a positive integer number $X\le100$, and Habibi is trying to guess the number. Habibi can select two natural numbers $M$ and $N$ less than $100$ and ask about the greatest common ...
962 views

### Minimum number of steps in which these people can rearrange themselves?

5 persons numbered 1 to 5 are standing in a row at 5 spots. 1 2 3 4 5 Any person can call another person among the remaining 4. When someone calls someone else, the person who was called ...
271 views

### A programming puzzle without code

The goal of this puzzle is to find a sequence of max 5 commands that will move the triangle through the maze and visit all colored squares. Three types of commands can be used: F0 makes the sequence ...
1k views

### The Expedition Into The Ancient Cave

You are a archeologist and have taken 8 of your students on a expedition trip to a ancient cave to try and find ancient treasure. After you and your team entered the cave, you travel as a group ...
2k views

### Precision Tag - can the lion win?

This is a spin-off motivated by Lopsy's interesting variant of Gamow's lion and zebras puzzle. It arose from a line of enquiry that tried to extend the vertical run past 5000km (or characterise the ...
1k views

### Rocks and Lever (Game) - Goofspiel

I am not sure if there is a name associated with this game but I do not know of one. There was this 2 player game I had once played, and I am wondering if there is a winning strategy. The game is as ...
270 views

### Reverse dots and boxes – Guess the last move

Alice and Bob are playing a game of reverse dots and boxes. The players take turns adding one horizontal or vertical line of size 1 in one free spot on the grid (marked with light gray lines ...