Questions tagged [algorithm]
A puzzle related to algorithmics (a main concept in computer science).
139
questions
1
vote
0answers
84 views
Robot's Step, Step, Sent Back!
So there is this robot. Its origin is at (0, 0), index 0. Each pair of coordinates will have same numbers for x and y. How the robot moves is this: ...
2
votes
1answer
172 views
A robot moving on a grid
In the spirit the question I propose the puzzle:
A robot is placed on a vertex of a grid. At each move the robot must take three steps along the edge of the grid. After each step the robot must turn ...
3
votes
1answer
187 views
A robot visiting every edge of a 4x4 grid
This is a harder version of this puzzle: A robot visiting every edge of a 3x3 grid
A robot is placed on the top-left vertex of a 4x4 grid. At each move the robot can take one step (up, down, left or ...
2
votes
1answer
151 views
A robot visiting every edge of a 3x3 grid
A robot is placed on the top-left vertex of a 3x3 grid. At each move the robot can take one step (up, down, left or right) along the edge of the grid to the adjacent vertex, but he cannot go outside ...
7
votes
3answers
431 views
Find Local Maximum in an Integer Sequence
An element of an integer sequence is called a local maximum if it is not smaller than all its neighbors. E.g., all local maximums of the following sequence are highlighted.
Consider an integer ...
2
votes
1answer
190 views
Based on 9-trains puzzle
Based on this problem, we have got some algorithms that can sort the 9 train cars in a given specific arrangement. But say if the 9 train cars are given in any-arrangement?
Say
ABC
ABC
ABC
...
3
votes
1answer
129 views
demystify and paint me!
To demystify me, look and say.
Then paint me not with colors but with array.
...
2
votes
2answers
169 views
Missing number in a set of four segment circles
This is a puzzle posted on a social networking site that I have been trying hard since yesterday to solve:
My approach has been to find out a mathematical function with the numbers in the yellow, ...
13
votes
1answer
496 views
GameDev: stuck with first puzzle design, would love resources to study from or algorithm suggestions!
First time posting here and I'm really, really hoping this is the community I've been looking for.
I'm developing a game, right now I'm in the middle of designing levels as the core mechanics have ...
6
votes
1answer
111 views
Has Connect Four been solved on arbitrary board sizes?
Victor Allis in his program VICTOR used his algorithm for six by seven connect four, his algorithm has proven to give a sure win.
Is it possible to have similar algorithm for x by y board?
4
votes
1answer
183 views
Cutting a Rectangular Board
There is an $m \times n$ rectangular board drawn on a graph paper. You need to cut it into $mn$ $1 \times 1$ squares by straight cuts along the grid lines. You are allowed to stack several pieces ...
4
votes
2answers
186 views
Minimum number of flips required to turn a sequence into alternating A and Bs
You are given this sequence composed of the characters A and B:
A B B B A B B A A B A A B A A B A B A A A B B A B B B A
At ...
4
votes
2answers
113 views
Oriented Rubiks Cube 4x4 re-arrange center pieces
There are a lot solutions for oriented 3x3. They rotate all center pieces. I'm trying to solve oriented 4x4 with GabbasSoft Cube Demo. Luckily blue and green ...
9
votes
5answers
238 views
An $n$-sided polygon with area $n$
Here is a $10$-sided polygon which area is $23$ (i.e. it contains exactly 23 unit squares).
Can you draw a polygon with:
$6$ sides and area $6$?
$8$ sides and area $8$?
$12$ sides and area $12$?
...
5
votes
1answer
747 views
Shift and Sort the Sequence [closed]
Given a permutation of integers 1 through N, we need to determine whether it is possible to sort this list in an increasing order by following certain conditions.
The conditions imposed are :
We are ...
7
votes
2answers
294 views
Algorithm for creating a “Dot” logic maze
I've been looking at Robert Abbott's logic mazes, in particular his Dot maze, and I'm trying to understand how they can be constructed so I can write an algorithm to do this automatically for ...
4
votes
2answers
319 views
The Genius Bank Robber
StackVille Bank & Trust - Robbed!
The Robbery
The bank is being robbed. There are millions in cash in the vault. The lone robber takes the manager to the safe and demands he opens it.
The manager ...
6
votes
2answers
164 views
The Balls of Death
You have nightmares about a pool ball with the number 1 on it, and an empty box. Why?
Immortality
Imagine, if you will, we are 5000 years into the future. Medicine has evolved and we now are immortal -...
3
votes
2answers
340 views
The Marble Game
Johnny vs. Vinny
As brothers, these two are competitive in every aspect of life. Just check out some of my other puzzles, and you'll see my brothers in action.
Today is a classic Marble Battle! The ...
11
votes
2answers
2k views
Two Cannons - A Beginner's Physics Puzzle
Standoff
Let's say we have two cannons aimed directly at one another ( as my horrible attempt shown in the image ).
The Angles
The cannon on top is aiming down towards the one on bottom right, and ...
5
votes
1answer
9k views
How to programmatically solve math puzzle
I have this puzzle and I want to solve by code. I wrote simple code trying to brute force but it fail in one condition
https://dotnetfiddle.net/cJyu3w
Anyone know of a link or source how to solve ...
5
votes
2answers
121 views
Determine a polynomial with nonnegative integer coefficients with minimum queries
A friend of us makes up a polynomial with nonnegative integer coefficients. Our task is to find it out with a minimum number of queries. For each query we give him a nonnegative integer $L$ and he ...
8
votes
2answers
1k views
Stacking pancakes for your wife
You are cooking pancakes for your lovely wife. You want to sort the pancakes such that they increase in diameter as you move from the top to the bottom of the stack. The only operation you can perform ...
2
votes
3answers
265 views
Two of 18 coins are counterfeit
There are $n=18$ coins, and we know exactly $2$ of them are counterfeit. All counterfeit coins differ from normal coins in weight, but otherwise their weight is not known. They can be heavier or ...
1
vote
3answers
464 views
Move all the stones into a single cell of a 3x4 grid
A 3x4 grid contains a heavy stone in each cell. Walking from a cell to an adjacent cell (horizontally or vertically) without any stones requires 1 second. Moving one stone from a cell to an adjacent ...
14
votes
4answers
2k views
Emoji primes - what's the smallest positive integer this doesn't work for?
Driven by a silly conversation at work, here's the puzzle.
Slack allows users to send emoji as a reaction to a message. Emoji are listed left to right in chronological order of reaction, and 'stacks' ...
3
votes
1answer
108 views
Reapply *some* stickers on scrambled cube
I have this weird cube which have some pieces printed on the plastic and some are detachable.
The cube was scrambled not solved and it fell on the floor being cheap cube almost all detachable faces ...
2
votes
1answer
128 views
Looking for an old Rubiks cube algorithm
I learnt rubiks cube before the YouTube days from a blog. I do not find the algorithm anymore online but it is something like
White cross
White corners (except one)
Second layer corners (except one)
...
5
votes
1answer
238 views
Brute-force solver for Gear Octahedron - flawed method?
I am working on a program to brute-force a LanLan Gear Octahedron I bought second-hand (and scrambled). I have no background in "cubing" and just fancied solving the problem.
The structure comprises ...
11
votes
1answer
2k views
Worst way to solve Rubik's in one algorithm
If you apply the same algorithm over and over again the cube will be solved.
I want to know what algorithm is the worst one (the one with the longest cycle)
I have found RU (cycle of 60 times)
I have ...
7
votes
1answer
284 views
Heavy-duty computing challenge ā maximum-density word packing
Caution: This is a challenge for computers only. Humans are advised to stand well clear of the protective safety cage. There may be CPUs on fire before it's over.
Introduction
Nothing makes a ...
13
votes
12answers
2k views
2 Person Same Number Verification
Alice and Beth both receive a random integer from 1 through 10, inclusive. They only know the number that they are given.
The two of them want to come up with an algorithm to check that their ...
5
votes
3answers
335 views
land of light bulbs
Leuks is the land of light bulbs, where the bulbs are leading a peaceful life, with no humans at all. Presently there are 100 residents . (Of course, they all are light bulbs!).
Let $a_{1}, a_{2}, . . ...
11
votes
2answers
2k views
Three knights searching for a princess in a castle
There is a castle with rooms arranged in a 4x4 square grid. The princess living in the castle sleeps in a different room each night, but always one adjacent to the one in which she slept on the ...
4
votes
1answer
350 views
Two knights searching for a princess in a castle
There is a castle with rooms arranged in a 3x3 square grid. The princess living in the castle sleeps in a different room each night, but always one adjacent to the one in which she slept on the ...
3
votes
1answer
69 views
Arranging people to be in a group with every other person at least once
There are 12 people. These people start in 4 groups - each with 3 people. They swap groups 4 times, so they are in a total of 5 groups. Is it possible for each person to be in a group with every other ...
0
votes
2answers
179 views
Hunting for treasure in 1-d grid [duplicate]
In a castle, there are N rooms in a line. Each room has a door to the
two neighbouring rooms (or the one neighbouring room, for the rooms at
either end). A treasure is hidden in one of the rooms. ...
8
votes
1answer
450 views
Cube Scrambling
Take a normal 3x3 rubiks cube (the Classic unmodded cube).
I know the WCA method for scrambling is to pick a random (valid) cube state and calculate a sequence of moves to go from solved to that state,...
1
vote
2answers
282 views
Minimize sum of guesses to win lottery
Ten boxes are given with $a_1,a_2,a_3,a_4,a_5 ......a_{10}$ number of balls in them respectively .These boxes are randomly ordered but $a_1,a_2 .....a_{10}$ is told.We can arbitrary select a box and ...
2
votes
2answers
194 views
How to find number of times sequence element $1$ is approached and from where?
Consider a sequence $1,-1,-1,-1,-1,-1,...,-1$. Start at the first element and move down the sequence according to the following rules:
1) If you jump from a $-1$ to another $-1$, turn the latter into ...
7
votes
4answers
314 views
Savage Road Signs (Part 2)
Please read part 1 or this might be confusing
Since part 1, you have replaced the stolen stickers and your daughter has forgiven you. The highway ended up being a full 700km long, so you are happy ...
2
votes
2answers
1k views
Finding numbers having exactly two distinct digits
We have $10^K$ road signs (numbered 0 through $10^Kā1$).
For each valid $i$, the sign with number $i$ has the integer $i$ written on one side and $10^Kāiā1$ written on the other side.
We need to ...
4
votes
1answer
2k views
Finding Round Integer
An integer is round if it is greater than $0$ and the sum of its digits in decimal representation is a multiple of $10$.
Find an optimal procedure to compute the $N^\text{th}$ smallest round integer.
...
6
votes
1answer
249 views
$4\times4\times4$ Rubiks cube Top Layer Issue
The only way i am able to solve is to jumble the whole cube again. If you know the way to solve pls give images or algorithm.
6
votes
2answers
294 views
The CompuTaria Quest - A young Wizard's journey
Once Upon A Time In A Land FAR, FAR Away...
Our adventure begins in the enchanted land called "CompuTaria".
You are, "Binaryian" a 3rd year Wizard In Training. Today began like any other day - you ...
-4
votes
10answers
962 views
SafeCracker #3 - We've Been Blocked [closed]
Our Last Safe To Conquer
Ok, team, this one might give us a little trouble. Nothing we can't handle though... let's go...
This safe model is "The NevaCrak 9000" - the most secure safe there ...
5
votes
2answers
221 views
SafeCracker #2 - The Mission Continues
Thanks to an alert StackE user, we were able to get the first safe open.
Mission Details
This next safe is in a former employee's house. He is gone for now, so we have no time to spare.
We weren't ...
3
votes
2answers
164 views
SafeCracker #1 - Look who's talking
The Plot
You work for a tech company in Tampa, FL. Recently there was a break-in, and the company's trade secrets were stolen.
Company PI have tracked the briefcase containing the secrets to the ...
2
votes
1answer
114 views
34
votes
9answers
4k views
Wolves and sheep
All the sheep were living peacefully in the Land of Shewo. But suddenly they were struck by a danger. A few wolves dressed up as sheep entered the territory of Shewo and started killing the sheep one ...
