Questions tagged [binary-matrix]
Indicates that the challenge involves the manipulation of binary matrices, matrices whose elements are all one of two possible values, typically 1 and 0, or True and False.
59
questions
18
votes
6
answers
2k
views
Matrix Meets ASCII Art
A binary matrix represents a shape in the plane. 1 means a unit square at that position. 0 means nothing. The background is 0.
For example, the array ...
- 499
15
votes
7
answers
1k
views
Euler characteristic of a binary matrix
A binary matrix represents a shape in the plane. 1 means a unit square at that position. 0 means nothing. The background is <...
- 32.7k
19
votes
7
answers
1k
views
Expand a matrix goo-ily
Input
An \$m\$ by \$n\$ binary matrix, with \$m\$ and \$n\$ both at least 2.
Think of the ones as gobs of melted cheese, which stretch as we expand the matrix horizontally and vertically.
More ...
- 26.5k
6
votes
2
answers
355
views
Reveal all clues of Black Box
Black Box is a board game, Your task is to reveal all clues.
What is black box
Black box is a board game with hidden atoms, Your task is given input, All atoms, reveal all clues.
I/O
Input
The atoms ...
- 2,493
22
votes
6
answers
754
views
Check if a matrix is Zarankiewicz-maximal
My final-year project at the National University of Singapore is on Zarankiewicz's problem:
What is the maximum number of 1s in an \$m×n\$ binary matrix (\$m\$ rows and \$n\$ columns) with no \$a×b\$ ...
- 753
18
votes
17
answers
1k
views
Generate a regular graph
Inspired by this Mathematica.SE post
Given two positive integers \$n, k\$ with \$n > k \ge 1\$, output a binary \$n\times n\$ matrix such that every row and column contains exactly \$k\$ 1s, and ...
- 46.7k
12
votes
9
answers
1k
views
AoCG2021 Day 13: Defrag in action!
Part of Advent of Code Golf 2021 event. See the linked meta post for details.
The story continues from AoC2017 Day 14.
To recap: The disk is a rectangular grid with \$r\$ rows and \$c\$ columns. Each ...
- 62.1k
19
votes
13
answers
2k
views
Compute matrix blockiness
Consider a non-empty binary matrix M and a natural number n. For the purposes of this challenge, M is said to have blockiness n if it can be built using adjacent square blocks of size n, where each ...
- 99.3k
9
votes
9
answers
845
views
Neural Processing Lattice Checker
Consider the following 9 "row patterns", using 0s to represent empty cells and 1s to represent a full cell. Each pattern is associated with an integer \$n\$, such that \$0 \le n \le 8\$ (...
- 12.7k
9
votes
3
answers
309
views
How many dominoes can you fit here?
Much harder than Can this pattern be made with dominoes?
Challenge
A grid of width \$w\$ and height \$h\$ is given, filled with 1s and 0s. You can place a domino somewhere on the grid only if both ...
- 62.1k
7
votes
6
answers
514
views
Group binary shapes together
Consider the following binary matrix:
$$\begin{matrix}
1 & 0 & 1 \\
1 & 0 & 0 \\
0 & 1 & 1
\end{matrix}$$
The (1-indexed) co-ordinates of the \$1\$s here are \$(1,1), (1,3), (2,...
- 46.7k
12
votes
11
answers
1k
views
Peter is Puzzled!
As some of you may remember, Peter, who was a picky eater is now puzzled Peter.
This time Peter got some puzzles as a present from his Aunt. He has tried a lot, but has failed to solve the puzzles. ...
user100752
18
votes
11
answers
2k
views
Count my Pluses
Your task is, to count how many pluses I have.
What Pluses?
The no plus: 0 Points
-
The naïve Plus: 1 Point
+
The double ...
- 3,595
9
votes
4
answers
295
views
Venn of \$n\$ statements
Given a positive integer \$n\$, output \$n\$ 2D bool images with the same width and height such that:
Each image should be 4-connected, i.e. for each two pixels that are true, you can start from one ...
- 12.7k
33
votes
25
answers
4k
views
Is there a single straight line in the matrix?
Inspired by Wzl
Determine if a given square binary matrix has exactly one row or column consisting of entirely 1s, and the rest of the matrix is ...
- 46.7k
19
votes
16
answers
2k
views
Is there a left-right connection?
Task
Given a square array of 0s and 1s, determine whether or not there exists a path of 1s connecting the leftmost and rightmost columns. A path can take steps of one unit up, down, left or right, ...
- 541
11
votes
1
answer
283
views
Count all my sheep
Sandbox
Given a boolean matrix representing my grass field, sheep length \$n\$ and wool thickness \$k\$, you will have to count my sheep.
A sheep is a single independent unbroken line of sheep length \...
- 25.1k
17
votes
7
answers
2k
views
But, Is It Art?
But Is It Art? is an esolang created by ais523, where one step is break the program into orthogonally connected "tiles":
A BBBB
A B B
AA CC
A CC
Each ...
- 46.7k
25
votes
19
answers
1k
views
Just Enough Ones
Challenge
Given a positive integer \$n\$, count the number of \$n\times n\$ binary matrices (i.e. whose entries are \$0\$ or \$1\$) with exactly two \$1\$'s in each rows and two \$1\$'s in each column....
- 6,216
25
votes
14
answers
4k
views
Is this an L-shape?
Background
An L-shape is defined as a polyomino which can be made by extending two rectangular legs in orthogonal directions from a full square (called a pivot). The size of the square should be at ...
- 62.1k
16
votes
18
answers
3k
views
Calculate COVID spread
Because the coronavirus is still at large, I thought it would be fitting to have a epidemic-themed challenge.
Challenge
You are given a 2D array of people, where 1 ...
- 601
18
votes
6
answers
428
views
Secret ">" Stacking Challenge: grading
Background
Tetris Grand Master 3 has a hidden grading system based on the shape of the stack at the end of the game, which is called Secret ">" Stacking Challenge. It consists of entirely ...
- 62.1k
24
votes
9
answers
875
views
Maintain diagonal symmetry when placing N items on a square grid
Write a program that takes in two non-negative integers S and N in that order. S represents the side length of a square grid of . characters. N represents the ...
- 87.9k
25
votes
14
answers
3k
views
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 ...
- 9,426
32
votes
6
answers
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 ...
- 14.5k
9
votes
3
answers
368
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 ...
- 221
32
votes
18
answers
7k
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.
...
- 329
40
votes
4
answers
2k
views
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, ...
- 166k
13
votes
16
answers
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 ...
- 41.4k
8
votes
15
answers
1k
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 ...
- 4,002
21
votes
8
answers
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 ...
- 14.5k
22
votes
10
answers
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 ...
- 166k
36
votes
7
answers
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,
...
- 403
26
votes
8
answers
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 ...
- 879
10
votes
2
answers
415
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 ...
- 45k
13
votes
7
answers
456
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 ...
- 14.5k
19
votes
1
answer
689
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 ...
- 40.1k
23
votes
3
answers
2k
views
13
votes
5
answers
1k
views
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.
...
- 2,361
18
votes
5
answers
909
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 ...
- 46.7k
21
votes
13
answers
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 ...
- 25k
11
votes
2
answers
479
views
Make a Bit Continent
Let's imagine we have a matrix of bits (which contains at least one 1):
...
- 14.5k
34
votes
6
answers
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 ...
- 40.1k
48
votes
12
answers
3k
views
Braille graphics
Cut a boolean matrix in 4x2 blocks and render them as Braille characters U+2800...U+28FF.
...
- 14.5k
13
votes
8
answers
667
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:
...
- 5,432
54
votes
9
answers
5k
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 ...
- 166k
22
votes
16
answers
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:
...
- 40.1k
10
votes
3
answers
1k
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, ...
- 103k
8
votes
4
answers
667
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 ...
- 27.1k
11
votes
3
answers
537
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 ...
- 33.7k