# Questions tagged [strategy]

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

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### Escape from the magic prison

You're locked in one of three magical cells (yellow circles) located at the vertices of a triangle. In each cell there're three transporters numbered 1, 2 and 3, one of which transports you to the ...
369 views

### Combination lock on a pentagonal rotating table

This puzzle is part of a serie. Inspiration: Sliding Bolt Puzzle Part 1: Combination lock on a triangular rotating table Puzzle After solving the 3 digits code in 27 tries (again, you just have the ...
3k views

### Getting lost on a Circular Track

Since it is such a nice day, you decide to have a nice long walk on a very large circular road nearby. The radius of that circle is known to you, but it is so large that you cannot tell the inside ...
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### The subtraction game

Alice and Bob play a game that starts by Bob picking a secret integer $N\ge100$. Then the game goes through several rounds. In every round, Alice picks an integer $x\ge3$. Every number can be picked ...
150 views

### Trapping your nemesis on a circular track

Inspired by Getting lost on a Circular Track. You are in possession of a very peculiar circular track. No matter how nice of a day it is, the track is always covered in an extremely thick fog which ...
462 views

### Combination lock on a triangular rotating table

This puzzle is part of a serie. Inspiration: Sliding Bolt Puzzle Part 1: It's this one (-: Part 2: Combination lock on a pentagonal rotating table Puzzle You are trapped in a dark room. Just your ...
2k 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 ...
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941 views

### Gold and silver coins in sealed envelopes

Alice has freely chosen to put either a gold coin or a silver coin in each of an infinite sequence of envelopes numbered 1,2,3,... Bob can open any number of envelopes and check the coins within, ...
392 views

### The game of 42: 10 cards to make 42

This is a game inspired by other recent questions. It is a 2-player game. The game is played with 10 cards numbered 1 to 10 and 2 positions or stacks. The game starts with all cards in stack 1. The ...
788 views

### Pole, rope, and chasm

You come across a chasm. It's perfectly smooth, 50m deep, and 50m across, and too wide to go around. You have a pole that is 40m long, and as much rope as you need. How do you get across the chasm? ...
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### A Game of Phones

The Chaos Legion is an infamous criminal organization, responsible for every major disaster in history from the burning of the Library of Alexandria to the recent Sony hack. The Order of Seven is ...
2k views

### Winning chance in coins game with fixing

A player plays the following solitaire game. The game consists of as many rounds as are needed to produce a result. They have 20 fair coins, which may in any round be live or fixed; each coin starts ...
544 views

### Is it possible to fill an arbitrarily large hex grid completely given these rules? #2

Based off of this. Lets say you have two players, Red and Blue, that alternate filling an arbitrarily large hexagonal grid of tessellated hexagons with pieces of their color. Hexagons can either be ...
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### Is it possible to fill an arbitrarily large hex grid completely given these rules?

Lets say you have two players, Red and Blue, that alternate filling an arbitrarily large hexagonal grid of tessellated hexagons with pieces of their color. Hexagons can either be filled or empty. A ...
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### Two prisoners and twenty marbles

Two prisoners are planning their escape. Their cells are locked with a padlock that must be opened with a 5-digit code (numbers 00000 to 99999). Each prisoner knows the code of the other prisoner's ...
2k views

### 6 Water Glasses Upside Down

There are 6 water glasses as shown in the picture below: You need to turn all of them upside down with the rules below: You have to choose any 5 of them at every turn. Chosen ones need to be turned ...