# Questions tagged [binary-matrix]

For challenges involving binary matrices. Binary matrices are matrices which only contain boolean (0 or 1) values. Operations on binary matrices are done with boolean algebra.

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### ASCII texturing

Write a function or a full program that applies an ASCII texture to a 2d shape. Inputs: shape, texture, dimensions(optionally). Both Shape and Texture can be given by any convenient method (2d ...
2k views

### Slash the matrix

You are given a matrix of forward and back slashes, for instance: //\\ \//\ //\/ A slash cuts along the diagonal of its cell corner-to-corner, splitting it in ...
273 views

### Identical grids

You’re given two $r×c$ grids. Each cell contains either 0 or 1. What are the minimum number of swaps (between horizontally and vertically adjacent cell elements, no wrapping i.e no swapping between ...
6k views

### To find islands of 1 and 0 in matrix

Given a two dimensional matrix of 0 and 1s. Find the number of island for 1s and 0s where neighbours are only in the horizontal and vertical. ...
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### Dungeon Crawler

Input A binary matrix $M$ representing the walls of a dungeon. The position $(x,y)$ of the player within the dungeon. The direction $d$ that the player is currently facing (0 = North, 1 = East, ...
2k views

### Trim that distracting background off!

Isn't it annoying when you're taking a picture, but the background detracts from the actual substance of the image? I'd say it is. I need to know how much I should crop so that I get rid of this ...
874 views

### Scoring 6,5,4 (AKA Ship, Captain, and Crew)

Inspired and looted from this dice challenge by Arnauld Input You are given a 5x1 or 1x5 (your choice) dice matrix which consist of binary 3x3 sub-matrices. Goal Given a valid dice matrix, you are ...
2k views

### Belarus rushnyk

We've got quite a few national flag challenges already: AU CH FI FR GB GB IS KR NP US... Here's another, somewhat more advanced one: Return or print the decorative pattern from Belarus's national ...
2k views

### How much is my dice matrix worth?

Input A non-empty binary matrix consisting of 3x3 sub-matrices put side by side. Task Your task is to identify valid dice patterns (as described below) among the 3x3 sub-matrices. Each valid ...
3k views

### Where is that snake going?

Write a function (using as few bytes as possible) that takes a bi-dimensional array of any number of columns and rows in which: 0 represents empty block, ...
2k views

### Mutually Attacking Queens

Let an 8x8 chessboard be represented by any two distinct values, with one value being an empty square and the other being a queen. In the following examples, I use 0s as the empty squares and 1s as ...
382 views

### The Lonely Islands

Input: A 2D array containing two distinct (optional) values. I'll use 0 and 1 when explaining the rules. The input format is of course flexible. Challenge: Zeros are water, and ones are islands. In ...
426 views

### Cutpoints in a maze

A maze is given as a matrix of 0s (walls) and 1s (walkable space) in any convenient format. Each cell is considered connected to its 4 (or fewer) orthogonal neighbours. A connected component is a set ...
631 views

### Advent Challenge 1: Help Santa unlock his present vault!

Next >> Descriptive Keywords (for searching): Make Two Matrices Equivalent, Overlap, Array, Find Challenge Santa has had a history of elves stealing presents from his vault in the past, so this ...
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### Is it bipartite?

A bipartite graph is a graph whose vertices can be divided into two disjoint set, such that no edge connects two vertices in the same set. A graph is bipartite if and only if it is 2-colorable. ...
749 views

### Change the rules of Life

Life-like cellular automaton are cellular automaton that are similar to Conway's Game of Life, in that they operate on a (theoretically) infinitely large square grid, where each cell has exactly 8 ...
1k views

### The Binary Square Diagonal Sequence

The binary-square-diagonal-sequence is constructed as follows: Take the sequence of positive natural numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, ... Convert each number to ...
452 views

### Make a Bit Continent

Let's imagine we have a matrix of bits (which contains at least one 1): ...
3k views

### Finding Snakes in a Matrix

Challenge Given a binary matrix and a binary string, determine if that binary string can be found starting at any point in the matrix and moving in any direction at any subsequent point to form the ...
2k views

### Braille graphics

Cut a boolean matrix in 4x2 blocks and render them as Braille characters U+2800...U+28FF. ...
619 views

### Minimal taxicab distance map

Challenge description In taxicab metric, a distance between two points is defined as: Consider a matrix with only zeros and ones: ...
4k views

### Which tetromino is this?

Given an unsigned 16-bit integer N, your task is to determine whether its binary representation mapped inside a 4x4 matrix is matching a tetromino shape, and if so, which shape it is. Matrix Each ...
1k views

### Weakened Binary Walls

Inspired by Create a binary wall Given a list of positive integers, we can write them out all above each other like so, for [2, 6, 9, 4] as an example: ...
866 views

### Binary Puzzle Solver

Introduction Rules of the puzzle: The puzzle Binary (also known as Takuzu or Subiku) is very simple to understand, and has only a few rules: Since the name of the game is binary it's pretty obvious, ...
632 views

### Find the rows which make each column have one True (was: Knuth's Algorithm X)

Task Given a Boolean matrix, find one (or optionally more) subset(s) of rows which have exactly one True in each column. You may use any algorithm, but must support very large matrices, like the last ...
503 views

### Print a specific value in the Wythoff matrix modulo 2

The Wythoff matrix is an infinite matrix consisting of the Grundy numbers of each square on a chessboard in Wythoff's game. Each entry in this matrix is equal to the smallest nonnegative number that ...
379 views

### Generate binary matrices which are distinct up to reflections

Here are all the 2x2 binary matrices ...
735 views

### The last stage of contamination

There is a virus inside a recipient of 5x5. As we know how it propagates its contamination, your mission is to output the last stage of the contamination. The recipient It will be representend as a ...
5k views

### Construct the Identity Matrix

The challenge is very simple. Given an integer input n, output the n x n identity matrix. The identity matrix is one that has <...
699 views

### Counting orthogonal circulant matrices

Two rows of a matrix are orthogonal if their inner product equals zero. Call a matrix with all rows pairwise orthogonal an orthogonal matrix. A circulant matrix is one where each row vector is rotated ...
985 views

### Matrix property X revisited (or the Joy of X)

This challenge is partly an algorithms challenge, partly an optimization challenge and partly simply a fastest code challenge. A T matrix is fully specified by its first row ...
2k views

### Find highest scoring matrix without property X

This challenge is partly an algorithms challenge, partly an optimization challenge and partly simply a fastest code challenge. A cyclic matrix is fully specified by its first row ...
840 views

### Implement bit-wise matrix multiplication

The MMIX architecture is a fairly simple big-endian RISC design. It has a couple of interesting features, one of them is the MXOR instruction, which is what you ...