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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.

1 vote
3 answers
299 views

Yin-Yang Table Generator [closed]

I want an n*n table that is filled with black or white and the following conditions are satisfied in it: All cells of a 2*2 square in this table should not be the same color. All black and white ...
Shahnazi2002's user avatar
16 votes
7 answers
1k views

Largest Binary Area

Take the sequence of all natural numbers in binary, (1, 10, 11, ..) then write them vertically beside each-other like this (least significant bit on top; 0s have ...
mousetail's user avatar
  • 12.7k
11 votes
9 answers
657 views

Find Sub-matrix with matched cell 1

You are given a matrix of size m x n where each cell can contain either 1 or 0. You need to find the largest square submatrix that contains only 1's. The output should be the area of the largest ...
user avatar
16 votes
12 answers
1k views

Is this a shift matrix?

A Shift matrix is a binary matrix with one superdiagonal or subdiagonal formed by only ones, everything else is a zero. A superdiagonal/subdiagonal is a diagonal parallel to the main diagonal, which ...
math scat's user avatar
  • 9,408
13 votes
8 answers
1k views

Toggle some bits and get an actual square

Inspired by the title of the Toggle some bits and get a square challenge. In that challenge you output how many bits should be toggled, in order for the base-10 representation of the binary to become ...
Kevin Cruijssen's user avatar
11 votes
14 answers
2k views

CGAC2022 Day 5: Preparing an advent calendar

Part of Code Golf Advent Calendar 2022 event. See the linked meta post for details. It's time to prepare an advent calendar, but I've only got a large sheet of rectangular paper, randomly colored red ...
Bubbler's user avatar
  • 77.5k
15 votes
14 answers
1k views

1 to N column and row sums

Inspiration There is a problem on the most recent AMC 12B test, the one held on November 16, 2022, which goes like this: (AMC 12B 2022, Question 17) How many \$4\times4\$ arrays whose entries are \$0\...
Aiden Chow's user avatar
  • 13.7k
21 votes
6 answers
2k views

For xor Young (15+)

A Young diagram is a rectangular binary mask whose every row and every column are sorted in descending order. It is easy to check that every rectangular binary mask can be formed by xor-ing together a ...
loopy walt's user avatar
  • 16.7k
23 votes
6 answers
994 views

Tic, Tac, stub your Toe

Find the max number of Xs you can fit onto a rectangular tic-tac-toe board of length l and height h without ever having 3 consecutive Xs in a row diagonally, horizontally, or vertically. This is a ...
JohnBGoode's user avatar
17 votes
8 answers
2k views

Scribble Pad for Nerds

aka. implement an easier version of 05ab1e's canvas element. Description The canvas element is used to draw ASCII lines on the screen. The (easier version of the) canvas element takes a list of ...
math scat's user avatar
  • 9,408
19 votes
7 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 ...
Number Basher's user avatar
14 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 <...
alephalpha's user avatar
  • 48.7k
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 ...
Jonah's user avatar
  • 33.6k
6 votes
2 answers
398 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 ...
Fmbalbuena's user avatar
  • 4,167
22 votes
6 answers
808 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\$ ...
Parcly Taxel's user avatar
  • 3,845

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