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.
8
votes
15answers
663 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 ...
19
votes
7answers
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 ...
21
votes
9answers
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 ...
35
votes
6answers
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,
...
26
votes
8answers
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 ...
11
votes
2answers
357 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 ...
13
votes
7answers
345 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 ...
18
votes
1answer
588 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 ...
21
votes
3answers
1k views
13
votes
4answers
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.
...
15
votes
4answers
662 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 ...
20
votes
13answers
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 ...
11
votes
2answers
430 views
32
votes
6answers
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 ...
46
votes
12answers
2k views
Braille graphics
Cut a boolean matrix in 4x2 blocks and render them as Braille characters U+2800...U+28FF.
...
13
votes
8answers
587 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:
...
54
votes
9answers
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 ...
21
votes
14answers
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:
...
10
votes
3answers
620 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, ...
9
votes
4answers
606 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 ...
11
votes
3answers
441 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 ...
15
votes
7answers
354 views
Generate binary matrices which are distinct up to reflections
Here are all the 2x2 binary matrices
...
10
votes
7answers
722 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 ...
43
votes
79answers
4k 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 <...
8
votes
4answers
617 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 ...
11
votes
3answers
970 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 ...
14
votes
3answers
1k 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 ...
7
votes
8answers
671 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 ...
14
votes
7answers
653 views
Print a specific value in this generated binary matrix
Suppose we define an infinite matrix M, on N^2 -> {0, 1} (where N starts from ...
4
votes
2answers
298 views
Print a specific value in the infinite Walsh matrix
The Walsh matrix is an interesting fractal matrix with the property that every single value in a Walsh matrix has a value of either -1 or 1. Additionally, the size of a Walsh matrix is always a power ...
