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-4 votes
1 answer
116 views

Binary Grid Challenge and X & O Conundrum

You are given a 5x5 grid with some cells filled with either "X" or "O". Your goal is to fill the remaining cells with "X" or "O" following these rules: Each row ...
Mods And Staff Are Not Fair's user avatar
9 votes
2 answers
431 views

Colour the positive integers without making a blue equation

This puzzle is related to How do we find the numbers? but has a slightly more striking solution in my opinion. It is also based on one of my MathsSE answers. What is the least number of colours you ...
Parcly Taxel's user avatar
  • 7,820
6 votes
2 answers
435 views

How many function blocks do you need to make a controller?

You have 8 binary input signals to a controller, each one for each of the digits 1 - 8. The output is four binary signals, that make up the same number as the input. If the first input signal is ...
CG.'s user avatar
  • 2,590
9 votes
1 answer
193 views

Constructing Tortuous Tours

We'll define a tour of some N x M grid as any sequence of tiles such that the first tile is the bottom left corner, any two consecutive tiles are adjacent, and every tile appears in the sequence ...
Ben Frankel's user avatar
  • 3,648
5 votes
2 answers
285 views

Brave Knight's Journey in N Dimensions

Queen Shayra does not have the most impressive following, but she intends to expand her influence. If she could settle down at the center of an N Dimensional 3-Cube and build a palace there, she would ...
Ben Frankel's user avatar
  • 3,648