All Questions
103
questions
0
votes
0
answers
35
views
Minimum number of measurements required to find heaviest and lightest from a group of idetntical looking balls having distinct weights.
You are given 68 identical looking balls, each with a distinct weight. You are given a common balance using which you can compare weights of any two pair of balls with a single measurement. Describe ...
- 9
0
votes
0
answers
30
views
Constructing an 8x8 Table with Unique Row Patterns and Consistent Prefix-Suffix Combinations
I am looking to create an 8x8 table with specific properties related to prefix and suffix combinations. Each cell in the table represents a combination of a prefix (rows) and a suffix (columns), ...
2
votes
0
answers
73
views
Bin packing : item to be packed in a certain bin depend on previously packed items to that bin.
I am working on an engineering problem. I need to implement an algorithm that looks like a certain variant of bin packing. Specifically, in this variant of the bin packing, the size of a certain item ...
- 131
15
votes
0
answers
271
views
Recovering a binary function on a lattice by studying its sum along closed paths
I have a binary function $f:\mathbb N^2\rightarrow\{0,1\}$. While I do not known $f$ explicitly, I have a "device" located at the origin $(1,1)$ which can do the following:
Given an even ...
- 4,323
2
votes
0
answers
87
views
Finding all possible valid values of a set based on a list of rules.
I'm working on a programming project and I stumbled into a bit of a problem. I think it's not an impossible problem, but I'm guessing it would involve some math. It would be amazing if anyone can ...
- 121
3
votes
1
answer
97
views
Expected Length of Maximum Decreasing Subsequences in Random Sequences
Given $ n $ distinct numbers that are randomly shuffled to form a sequence $ A = [a_1, a_2, \ldots, a_n] $, we select the largest number $ x_1 $ from the sequence. Subsequently, we pick the largest ...
- 1,231
2
votes
2
answers
84
views
Analytic solution for number of paths with length $k$ on an $n \times n$ Chessboard allowing Self-Intersecting?
Consider an $n \times n$ chessboard where the journey begins at the bottom-left corner $(1, 1)$ and concludes at the top-right corner $(n, n)$. How many distinct paths are available that necessitate ...
- 1,231
4
votes
1
answer
283
views
Printing neatly
I'm working on the following problem (which is not my actual question)
Consider the problem of neatly printing a paragraph with a monospaced font (all
characters having the same width). The input ...
- 910
3
votes
1
answer
115
views
Social golfer problem with additional requirement
I need to write a program that sorts people into groups.
To give a little context: The aim of the program is to create an equitable distribution of tasks and people for a school trip. Every day the ...
1
vote
1
answer
54
views
All cliques of a graph
Given an arbitrary undirected graph $G$ with $n$ vertices, I am interested in counting the number of cliques.
(For example, the number of cliques of a complete graph $K_n$ is trivially $2^n-1$;the ...
- 203
0
votes
1
answer
40
views
Is the stable marriage problem defined for $0$ people?
When proving properties of algorithms which are supposed to solve the stable marriage problem, I find myself unable to prove them sometimes in the case of there being $0$ things to pair with each ...
- 2,979
2
votes
1
answer
139
views
HMMT 2014 #9, how many times has Lucky performed the procedure when there are 20 tails-up coins?
There is a heads up coin on every integer of the number line. Lucky is initially standing on the zero
point of the number line facing in the positive direction. Lucky performs the following procedure: ...
- 2,031
1
vote
2
answers
71
views
Marching cubes generates surface triangles. How to adapt it to generate tetrahedra throughout the volume of a 3D model?
Background
There is a source code that generates surface triangles. The isosurface is generated for the iso-value of 0. The source code uses a table for ...
- 271
0
votes
0
answers
50
views
Difficulty in decoding the Prufer code.
I was looking at the proof of the following result:
Let $n\geq 2$,the number of spanning trees in the complete graph $K_n$ is $n^{n-2}$.
The proof uses a bijection between $T$ ,the set of all ...
- 3,567
7
votes
1
answer
126
views
In this checkerboard problem, is there a way to tell if any two situations are equivalent?
There is an infinite square grid chessboard with chess pieces placed on certain squares. There is at most one piece in a grid.
We can perform the following operations each time:
Split: Select a chess ...
- 71