task stringlengths 0 154k | __index_level_0__ int64 0 39.2k |
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Traveling Salesman
Description:
## Input
Each test case consists of a line containing $c$, the number of countries
($4 \le c \le 6000$),
followed by $c$ lines
containing the integers $n\;
x_1\; y_1\; z_1\; \dots \; x_ n\; y_ n\; z_ n$,
describing (in order) the $n$ corners of a closed polygon
... | 30,300 |
Travelling Caterpillar
Description:
Lilith is a hungry caterpillar! From her vantage point at
the root of a tree, she has identified some leaves she wishes
to munch before returning to the root. She wants to finish
munching all of them as quickly as possible so that she will
grow into a plump, buttery ... | 30,301 |
Travelling Delivery Person
Description:
Frederic Edward Xavier runs a very successful delivery
company called FredEX. He’s been looking at driving records
lately, and is not happy with the costs of delivery.
He has made the following estimations:
* Driving from one intersection to the neighboring one
... | 30,302 |
Travelling Salesperson 2D
Description:
## Input
Your program should take as input a single TSP instance. It
will be run several times, once for every test case. The time
limit is per test case.
The first line of standard input contains an integer
$1 \le N \le 1000$, the
number of points. The followin... | 30,303 |
Tray Bien
Description:
André Claude Marzipan is the head chef at the French
restaurant Le Chaud Chien. He owns a vast number of baking
trays, which come in two sizes: $1$ foot by $1$ foot, and $1$ foot by $2$ feet. He stores them along
$3$-foot deep shelves of
various lengths. For example, on a shelf t... | 30,304 |
Treasure Diving
Description:
Legends often tell of great treasures. But you rarely get
the chance to actually stumble upon those treasures. Most of
them are lost in the sea, or hidden below mountains. But as you
learned from one of your biggest idols, treasures do belong
into a museum. And now you have... | 30,305 |
Treasure Hunt
Description:
You are a treasure hunter searching for gold in the wild.
Luckily you got a map of the area from a black marketeer. The
map clearly shows where a box of gold is along with the
surrounding terrain. Of course, you want to head to the
treasure as fast as possible. However, the t... | 30,306 |
Treasure Hunt
Description:
Jill has created a new smartphone game that leads players to
find a treasure. The app uses the phone’s GPS to determine the
player’s location. The app then tells the player the direction
in which to go on a route to find the treasure. When the player
reaches some specific loc... | 30,307 |
Treasure Map
Description:
You have come into possession of a pirate map that gives a
series of steps to get from your landing place on a desert isle
to the spot marked $X$ where the treasure is
located. Each step consists of a compass heading and a number
of paces.
After spending most of your savings ... | 30,308 |
Treasure Spotting
Description:
For Timmy’s birthday his parents threw him a pirate themed
party! A treasure is buried in the yard and now it is up to
Timmy and his pirate crew to find it. Help the pirates find the
treasure by letting them know who can see where the treasure is
buried.
To make the game... | 30,309 |
Tree Canopy Graphs
Description:
You are conducting a study on the health of Calgary’s trees.
Your assistant has spent $17$ years collecting data for your
study, and now it’s finally time to utilize it! You would like
to figure out how healthy the trees are by analyzing how large
the canopy of each tree... | 30,310 |
Tree Hopping
Description:
You are given a tree and a permutation of its vertices. It
can be proven that for any tree and any pair of
source/destination nodes, there is some permutation of the
nodes where the first node is the source, the last node is the
destination, and the distance between each pair ... | 30,311 |
Tree Hugging
Description:
Once, two trees forgot their place and started to grow into
each other. One of the trees grew from the left, and the other
from the right. On $n$
points, they collided.
Numbering the points $1, 2,
\dots , n$ from left to right, the left tree ended up
connecting all of the... | 30,312 |
Tree Insertion
Description:
All modern banks employ information systems to process their
data. The amount of data is enormous. Imagine all the
transactions, payments, e-banking, web services, etc.
Therefore, advanced data structures must be used to store the
data and allow to access them very quickly.
... | 30,313 |
Tree Number Generator
Description:
One day Young Anna comes up with a whimsical idea of using a
tree to create a number generator. The generator is created
with a modulus $m$ and an
internal tree of $n$ nodes
numbered from $1$ to
$n$. Each tree node is
assigned a single digit between $0$ to $9$... | 30,314 |
Tree Shopping
Description:
Andy is going holiday shopping and needs to buy several
Christmas trees. At the store, there is a row of Christmas
trees of various heights. Andy is only allowed to buy trees
that are next to each other, i.e. trees that are contiguous
within the row. He also wants to make sur... | 30,315 |
Treehouses
Description:
In a rainforest there are $n$ treehouses high in the forest
canopy on different trees (numbered from $1$ to $n$). The $i$-th tree’s location is at
$(x_ i, y_ i)$. The first
$e$ of them in the list
are close enough to neighboring open land around the rainforest
so that transp... | 30,316 |
Treequivalence
Description:
The following grammar describes a textual notation for a
tree with (not necessarily unique) vertex labels:
```
tree ::= label
tree ::= label ( subtrees )
subtrees ::= tree
subtrees ::= subtrees , tree
label ::= A | B | C | ... | Z
```
That is, the representation of a tree ... | 30,317 |
Trending Topic
Description:
Imagine you are in the hiring process for a company whose
principal activity is the analysis of information in the Web.
One of the tests consists in writing a program for maintaining
up to date a set of trending topics. You will be hired
depending on the efficiency of your s... | 30,318 |
Trezor
Description:
Mirko decided to open a new business—bank vaults. A branch
of the bank can be visualized in a plane, vaults being points
in the plane. Mirko’s branch contains exactly $L\cdot (A+1+B)$ vaults, so that each
point with integer coordinates inside the rectangle with
corners $(1, -A)$ and... | 30,319 |
Tri
Description:
Little Mirko wrote into his math notebook an equation
containing three positive integers, the equals sign and one of
the four basic arithmetic operations (addition, subtraction,
multiplication and division).
During another class, his friend Slavko erased the equals
sign and the operat... | 30,320 |
Tri Tiling
Description:
In how many ways can you tile a $3\times n$ rectangle with
$2\times 1$ dominoes?
Here is a sample tiling of a $3\times 12$ rectangle.
Input consists of several test cases followed by a line
containing -1. Each test case is a line containing an integer
$0 \leq n \leq 30$. For
... | 30,321 |
Triangle Area
Description:
Per-Magnus managed to solve his addition homework thanks to
you, but now he is unfortunately posed with an even greater
problem.
He has been given a triangular cake by his mother, and
wonders what the area of it is. It turns out Per-Magnus forgot
the formula for computing it... | 30,322 |
Triangle Containment
Description:
You recently discovered there is treasure buried on your
farm land. A lot of treasure! You quickly
decide to put a fence around the land.
Alas, you have but a single fence post! You will have to
drive to town to get more fencing material. But you can’t just
leave the ... | 30,323 |
Triangle Cuts
Description:
Figure 1
Figure 2
Disallowed Pattern
Figure 3
Figure 4
A computer science professor was watching his young daughter
use scissors to cut large triangular pieces of paper that were
green on one side and white on the other. She always kept the
white side of the paper up, ... | 30,324 |
Triangle Drama
Description:
It’s the year 3035, and you are Chief Relationship Officer
on the Pluto colonization mission, currently en route to the
beigeish not-planet. Your task is to make sure that there is no
excessive amount of relationship drama during the 10 year long
trip. The biggest source of ... | 30,325 |
Triangle Ornaments
Description:
Write a program that computes the minimum required length
for the rod, given a list of triangles!
## Input
The input consists of a single test case. The first line
contains one integer $N$
($0 < N \le 100$),
denoting the number of triangles. The next $N$ lines each con... | 30,326 |
Triangle Text
Description:
Write a program which will read lines of text and print the
text in a triangle.
In particular, no line begins or ends with a space. There is
exactly one space between words on the same line if they are
part of the same sentence. There are exactly two spaces
following a perio... | 30,327 |
Triangle To Hexagon
Description:
Given a triangle $ABC$
with incenter (center of its inscribed circle)
$I$, and circumscribed
circle $O$, let
$M$, $N$ and $P$ be the second points of
intersection of the lines through $A$ and $I$, $B$ and $I$ resp. $C$ and $I$ with the circle $O$.
Let $E$ and
$... | 30,328 |
Triangle Trees
Description:
A triangle tree is an undirected graph in which every cycle
contains exactly three edges. Recall that a cycle is a sequence
of at least $3$ distinct
vertices $v_1, v_2, \ldots , v_
k$ such that there is an edge between $v_ i$ and $v_{i+1}$ for $i=1,\dots ,k-1$ and there is a... | 30,329 |
Triangle Trilemma
Description:
You’re interested in writing a program to classify
triangles. Triangles can be classified according to their
internal angles. If one of the internal angles is exactly 90
degrees, then that triangle is known as a "right" triangle. If
one of the internal angles is greater t... | 30,330 |
Triangles
Description:
You got a very strange gift for your birthday: two triangles
in the three-dimensional space. Each triangle consists of three
infinitely thin segments, and each segment stays straight no
matter how hard you press it. Now, you actually wanted to get
just one triangle, so you try to... | 30,331 |
Triangles
Description:
Alice has once again devised a game for Bob. She would first
scatter seeds all over the kitchen floor. Then, Bob will have
to kneel down and trace out triangles with his finger.
For each triangle Bob traces out, Alice gives him a number
of cookies equal to the square of the area of ... | 30,332 |
Triangles
Description:
For your trip to Beijing, you have brought plenty of puzzle
books, many of them containing challenges like the following:
how many triangles can be found in Figure 1?
While these puzzles keep your interest for a while, you
quickly get bored with them and instead start thinking about... | 30,333 |
Triangles of a Square
Description:
Ashley has given Brandon a square of side $2024$. She also has drawn a single
line segment that connects two different sides of the
square.
Brandon wants to draw some additional line segments such
that it is possible to decompose the square into a set of
disjoint tri... | 30,334 |
Triangular Clouds
Description:
Garry is looking at the sky. Such a beautiful day! He
notices that the clouds are particularly beautiful today, and
wishes to record the current state of the sky. He has no
camera, so he begins writing down coordinate points.
Fortunately for Garry, the current cloud cover... | 30,335 |
Triangular Collection
Description:
Call a set of positive integers triangular if it
has size at least three and, for all triples of distinct
integers from the set, a triangle with those three integers as
side lengths can be constructed.
Given a set of positive integers, compute the number of its
trian... | 30,336 |
Triangular Logs
Description:
The local forest has a lot of trees! Each tree is located at
integer coordinates and has an integer height. Cutting down any
tree gives you a log with a length equal to its height. You
want to obtain three triangular logs (that is, three logs that
form a non-degenerate tria... | 30,337 |
Trick Shot
Description:
Your game development studio, Ad Hoc Entertainment, is
currently working on a billiards-based app they’re calling Pool
Shark. Players face a sequence of increasingly devious pool
puzzles in which they need to carefully position and aim a
single billiards shot to sink multiple po... | 30,338 |
Trick and Treat
Description:
During Halloween, kids come by your house to request candy.
If you can not give them any, they will become angry and throw
toilet paper at your house!
This year, you have already scouted the neighbourhood and
know that kids will come to your house in groups of
$A_1, A_2, \... | 30,339 |
Trick or Treat
Description:
Johnny and his friends have decided to spend Halloween night
doing the usual candy collection from the households of their
village. As the village is too big for a single group to
collect the candy from all houses sequentially, Johnny and his
friends have decided to split up... | 30,340 |
Tricky Factoring
Description:
Ms. Alice was working on making some factoring homework for
her students last week, where the students get questions in the
form of $ax^2+bx+c$, and
must rewrite the expression in the form $(dx+ e)(fx + g)$, where $a,b,c,d,e,f,g$ are integers. However,
last night the ZomBs... | 30,341 |
Tricky Triangulation
Description:
Amy is trying to find a stronghold by using Eyes of Ender.
When thrown, Eyes of Ender fly in the direction of the closest
stronghold. However, since Eyes of Ender have a chance of
breaking when thrown, Amy wants to limit the number of throws
she makes. So, she attempts... | 30,342 |
Triforce
Description:
Link (the famous green-hatted hero from the Legend of Zelda
series), was really bored after yet again having saved the day.
As he was relaxing in the sun at Lake Hylia, he noticed he
could make really nice patterns in the sand, and then walk
around in them. One of these patterns h... | 30,343 |
Trik
Description:
Jealous of Mirko’s position as head of the village, Borko
stormed into his tent and tried to demonstrate Mirko’s
incompetence for leadership with a trick.
Borko puts three opaque cups onto the table next to each
other (opening facing down) and a small ball under the leftmost
cup. He ... | 30,344 |
Trimming Convex Polygons
Description:
You are the proud owner of a beautiful convex polygon! But
university is expensive, so you decide to sell your polygon to
support your studies. The market value, in dollars, for a
polygon is exactly twice its area. But there is an illegal
black market for individua... | 30,345 |
Triolingo Push
Description:
Trio from Triolingo wants to remind you to take your daily
programming lessons!
To make sure you actually will complete your lesson every
day, Trio sends you several notifications according to the
following increasing pattern:
On the first day, Trio sends $1$ notification. On ... | 30,346 |
Trip Odometer
Description:
A trip odometer can be used to record the distance driven on
a single trip. You are very diligent: at the start of each trip
you reset the trip odometer to read $0$ and at the end of each trip you
write down the distance travelled.
Thus, you maintain a list of distances (in kilo... | 30,347 |
Trip Planning
Description:
Lars is planning to do a backpacking tour by train
throughout $N$ cities in
Europe. He has a list of train lines numbered from $1$ to $M$ that each goes back and forth
between some pair of cities, no two between the same pair. He
wants to visit the cities in the order $1$, $2... | 30,348 |
TripTik
Description:
Have you ever been on a long road journey? AAA (the American
Automobile Association) has a tool for long road trips. It’s
called a TripTik, and it follows the highways, showing points
of interest.
You are building a TripTik app, which allows users to see
what’s on their route. It ... | 30,349 |
Triple Sevens
Description:
Eddy is overseeing construction of some new slot machines.
His slot machines consist of three wheels, each of which can
show one of several different digits. When activated, each
wheel shows a random digit. The goal is for all wheels to be
able to show the digit $7$.
A slot ... | 30,350 |
Triple Texting
Description:
Julia enjoys talking to her grandma, playing with legos, and
inventing two-player card games where she has a winning
strategy. Recently however, she has not been able to talk to
her grandma in person because of some kind of “pandemonium”.
Instead, they have resorted to texti... | 30,351 |
Triplet-Free Queens
Description:
The $n$-queens problem
is popular among computer science students. Its task is to
place a maximum number of queens on an $n\times n$ chessboard so that no two
queens attack each other. Two queens attack each other if they
share a row, column, or diagonal.
One day Zapra... | 30,352 |
Trojke
Description:
Mirko and Slavko are playing a new game, “Trojke” (Triplets,
in English). First they use a chalk to draw an $N \times N$ square grid on the road.
Then they write letters into some of the squares. No letter is
written more than once in the grid.
The game consists of trying to find three... | 30,353 |
Troll Hunt
Description:
Apprehensive of its imminent decapitation, the troll fled,
and did not have the decency to even leave a forwarding
address. Being a troll, it was clear that the troll was hiding
under some other stone bridge than the one it had used for its
shady business practice, but which? Th... | 30,354 |
True/False Worksheet
Description:
Bob is completing a true/false worksheet, consisting of a
list of $n$ problems where
each answer is either “true” or “false”. The problems are
numbered from $1$ to
$n$. They are too hard for
Bob, so the TA, Alice, has given Bob $m$ hints. For each hint $i$, Alice g... | 30,355 |
Truls' Troubles
Description:
Truls and Henry are playing table tennis against each
other.
Both Truls and Henry strongly dislike math. More than
anything, they hate calculating how many points each of them
has during the game. To simplify scoring, they have come up
with their own solution:
Instead of ... | 30,356 |
Tug of War
Description:
A tug of war is to be arranged at the local office picnic.
For the tug of war, the picnickers must be divided into two
teams. Each person must be on one team or the other; the number
of people on the two teams must not differ by more than
$1$; the total weight of
the people ... | 30,357 |
Tunnelling the Earth
Description:
For example, travelling from Waterloo to Cairo requires a
distance of $9\, 293\,
521$ metres following the great circle route around the
earth, but only $8\, 491\,
188$ metres following the straight line through the
earth.
For this problem, assume that the earth i... | 30,358 |
Turbo
Description:
Frane has been given the task of sorting an array of
numbers. The array consists of $N$ integers, each between
$1$ and $N$ (inclusive), with each of those
appearing exactly once in the array. Frane has come up with the
following sorting algorithm which operates in $N$ phases, and nam... | 30,359 |
Turn It Up!
Description:
Your volume control is at a comfortable $7$ – not too high, not too low. Your
friends entirely disagree, and frequently request you turn it
up or turn it down, often in a somewhat inappropriate tone of
voice.
Ever aiming to please, you try to accomodate their requests
and incr... | 30,360 |
Turning Red
Description:
Mei’s parents have spent the last year remodeling their
house, but their lighting system is quite complex! Each room in
the house has an LED light, which can be set to red, green, or
blue, as seen in Figure 1.
Throughout the house are various buttons which are each
connected t... | 30,361 |
Turning Trominos
Description:
The $L$-tromino is
composed of three unit squares arranged as shown in part A of
the illustration to the right. The $L$-tromino is also an example of a
rep-tile because four $L$-trominos can be arranged to make a
replica of itself that is twice as tall and twice as wide, a... | 30,362 |
Turtle Master
Description:
Robot Turtles is one of Theta’s favorite games. In this
game, kindergarteners learn how to “code” by creating programs
that move a turtle from a starting field to a diamond. Robot
Turtles is reportedly the most successful game funded by the
Kickstarter incubator.
In the actu... | 30,363 |
Tvær Vikur
Description:
‘Alright boys, where we dropping in?’ can be heard from
Benni’s headphones. He groans and tries to focus on the task at
hand. Benni is competing in the game ‘Two weeks’. On the
sideline sits Arnar who’s paying close attention. Arnar is
quite into betting and knows no better feel... | 30,364 |
Twenty Four, Again
Description:
Yes, we know $\ldots $
we’ve used Challenge $24$
before for contest problems. In case you’ve never heard of
Challenge $24$ (or have a
very short memory) the object of the game is to take
$4$ given numbers (the
base values) and determine if there is a way to
p... | 30,365 |
Two Charts Become One
Description:
When businesses feel that they are a little bloated and in
need of restructuring, they call in the well-known
reorganization consultant Don Sizing. One of the first things
Don asks for is a chart showing the hierarchy of departments in
the business, i.e., which depart... | 30,366 |
Two Knights' Poem
Description:
Two chess knights have decided to collaborate on writing
short, one-line poems. They have obtained the use of a laptop
to type their poetry. The laptop keyboard is composed of 4 rows
of 10 keys. 30 of these are symbol keys, 4 are Shift keys, and 6 are Space keys.
```
+-----+... | 30,367 |
Two-Class Binary Neural Network for Handwritten Digits
Description:
The objective of this problem is to train a Binary Neural
Network to classify images. The training occurs on your own
computer, and you should submit a program which simply outputs
the trained weights.
The images are of handwritten digits... | 30,368 |
Two-sum
Description:
Per-Magnus is trying to add two integers, but he never
learned how to.
Write a program to help him with this most difficult
task!
## Input
The input consists of a single line with two integers
$0 \le a \le 1\, 000$ and
$0 \le b \le 1\, 000$.
## Output
Output a single integer, ... | 30,369 |
Tycho
Description:
The planetary exploration vehicle Tycho VIII needs
to get back to the home base after collecting mineral samples.
Tycho travels in a straight line from
position $0$ to the
home base at position $b$. While moving, it advances at a
slow but steady pace of $1$ unit per second. Every... | 30,370 |
Type Charts
Description:
You are playing the game Nudgémon, a common element of which
is Nudgémon battles. In a battle, you and your opponent each
start by sending out a Nudgémon of your choice, and then take
turns attacking the opposing Nudgémon.
Each attack has a type (an integer between $1$ and $n$), a... | 30,371 |
Typo
Description:
It is now far into the future and human civilization is
ancient history. Archaeologists from a distant planet have
recently discovered Earth. Among many other things, they want
to decipher the English language.
They have collected many printed documents to form a
dictionary, but are ... | 30,372 |
Typo Squatting
Description:
After Coding Cup grew to over $100\, 000$ participants, our website
codingcup.se faced a new problem.
Spammers started to register domain names that were deceptively
similar to ours, differing in just a single letter (such as
codingcap.se). Unsuspecting
participants some... | 30,373 |
Tónlistarlisti
Description:
Atli is very disorganized and only has one playlist of songs
to listen to. All songs he likes go into the top of the list,
and when he listens to music he starts with the top song and
listens to them in order. If he has listened to them all, he
starts anew from the top.
For... | 30,374 |
Töflur
Description:
You really like playing games with your friend. You are
currently playing a game where each player is given
$n$ tiles with numbers on
them. Each player then places the tiles down such that they
form a sequence. Let $a_
j$ denote the number on the $j$-th tile in the sequence, for... | 30,375 |
Tölfræði
Description:
Murray Christianson was one of the most accomplished
Scottish mathematicians of the 20th century but he was mostly
known for his work in combinatorics and statistics. Among his
more known work is Christianson’s theorem which
revolves around permutations and permutation patterns. D... | 30,376 |
Tölvunarfræðingar telja
Description:
Computer scientists count a bit different from normal
people. Most people start counting at $1$, then go to $2$, and after that $3$ follows and so forth. But the
first number according to computer scientists is $0$. Therefore the second number is
$1$ and the $1\, 337$-t... | 30,377 |
Tölvuíhlutir
Description:
Magni is purchasing a new desktop computer, which raises the
important question of which components to buy to put into it.
He of course doesn’t have infinite money, so the tricky thing
is to get the best possible performance for the money he can
spend. In the real world differ... | 30,378 |
Töskupökkun
Description:
New autumn, new airline. There’s construction work going on
at Keflavík so the new airline “Pow!” can make room for
themselves.
Part of this process is laying out new belts where the
luggage goes through a scanning gate that takes images of what
is inside the bags. When purcha... | 30,379 |
Töskuröðun
Description:
As usual, Atli is travelling to yet another contest and has
luggage with him. Rather than travelling light, he takes a near
empty case with him so he can shop cheaply abroad. Often this
results in him having to stand and wait for his luggage at the
drop off when he is at his des... | 30,380 |
UTF-8
Description:
Unicode is an international standard for encoding characters
that was designed to overcome the limitations of older text
encoding standards like ASCII. The main deficiency of ASCII and
similar systems is that they represent only a very limited
number of characters (primarily the char... | 30,381 |
Ultimate Binary Watch
Description:
The Ultimate Binary Watch is a maker project that uses small
LEDs to display time on a watch face. The display uses four
columns of four LEDs each, with each column representing one
digit of the current time in hours and minutes. Time is
displayed in $24$-hour
for... | 30,382 |
Ultimate Pipe Game
Description:
Pipe games are interesting and hard puzzle games. In these
games, our mission is to connect the pipes to make the water
flow in the pipeline from a source to a destination, without
leaking out. Today we are playing a new generation of pipe
game, the Ultimate Pipe Game.
... | 30,383 |
Ultra-QuickSort
Description:
In this problem, you have to analyze a particular sorting
algorithm. The algorithm processes a sequence of $n$ distinct integers by swapping two
adjacent sequence elements until the sequence is sorted in
ascending order. For the input sequence
```
9 1 0 5 4 ,
```
Ultra-QuickS... | 30,384 |
Umbral Decoding
Description:
You are planning a clever attack against a new encryption
algorithm. To succeed, you need to find the key, which is a
pair of integers $(p, q)$.
We can think of the key as a point on a two-dimensional integer
lattice whose location is unknown. However, you know that
$(p... | 30,385 |
Umferð
Description:
Traffic jams are a major problem in larger cities like Njú
Jork and Síattúl, especially during rush hour.
In a traffic jam there are many cars with very little
spacing between them, and they are not moving particularly
fast. To simplify things we will assume that traffic is divided
... | 30,386 |
Umm Code
Description:
The current programming club president, Norbit, gives
speeches at the weekly club meetings. Casual viewers are
underwhelmed with the quality of Norbit’s elocution.
Specifically, Norbit often hesitates during his speeches with
interjections like “umm.”
You, however, are no casual ... | 30,387 |
Un-bear-able Zoo
Description:
Given an integer $n$,
and $n$ lines describing
animals, output in alphabetical order the animals Dr. Back has
in his zoo, followed by their count.
## Input
The input will contain multiple test cases, up to
$5$. Each test case
contains a line containing a single integ... | 30,388 |
UnDetected
Description:
The Department of Defense has been designing autonomous
robots that can infiltrate war zones and other hostile places
in order to carry out missions. Now they want to test their
latest design, the Penetrator1700, and they’ve hired you to
help design the test environment.
The te... | 30,389 |
Unbalanced Parentheses
Description:
Barry and Bruce are twin brothers. Bruce likes keeping his
parenthetical sequences balanced. Barry would like to mess with
Bruce by performing some operations on the sequence. Each
operation is one of the following:
* Change a single ‘(’ to a ‘)’ in the sequence.
* Cha... | 30,390 |
Uncrossed Knight's Tour
Description:
A well-known puzzle is to “tour” all the squares of an
$8 \times 8$ chessboard
using a knight, which is a piece that can move only by jumping
one square in one direction and two squares in an orthogonal
direction. The knight must visit every square of the
chessb... | 30,391 |
Undead or Alive
Description:
Now that zombies have learned to use SMS messaging, it is
imperative to develop software for detecting zombies over text.
After many long months of study, the top scientists have
figured out how to do it. The key observation is that humans
only use smiley faces, represented... | 30,392 |
Undrabarn
Description:
Jón and his wife, Gunna, just had their first child. Her
name is Marta Elísabet, and to no one’s surprise, she is as
smart as her parents. Her first word was the first $100$ digits of $\pi $, she knows all programming languages and just solved chess.
Even though it may seem impossibl... | 30,393 |
Undratré
Description:
Unnur has an interest in plants. She waters all her plants
once a day. Most of the plants are rather normal, but one of
her trees is especially odd and unique. That’s Unnur’s
wondertree. The wondertree is originally just a branch sticking
out of the ground, but that branch is ofte... | 30,394 |
Unequalled Consumption
Description:
The ACM is only able to make a small number $n$ of different types of candy, but
while limited in imagination, it is virtually limitless in
resources, so it is able to produce as many as it wants of each
type of candy. Furthermore, the candy types have different
weig... | 30,395 |
Unicycle Counting
Description:
Going to circus college is not as fun as you were led to
believe. You are juggling so many classes. Trapeze class is
sometimes up, sometimes down. There’s a lot of tension in your
high-wire class. And you’ve seen that lion taming can be
cat-astrophic.
The one pleasure yo... | 30,396 |
Unicyclic Count
Description:
A unicyclic graph is a graph with
exactly one cycle. A spanning subgraph
of a graph $G$ is a
subgraph that has one component and includes all the vertices
of $G$. Given a simple
graph $G$, count the
number of spanning unicyclic subgraphs. The illustration below
... | 30,397 |
Uniform Subtrees
Description:
Define a Uniform tree as one in which all of the
nodes at a given level (i.e. distance from the root) have the
same degree (i.e. number of children). Since all of the nodes
at a given level have the same number of children, a uniform
tree can be represented as simply a lis... | 30,398 |
Uniform Variation
Description:
The Alpine Community Performance Center (ACPC) is doing a
promotional photoshoot at a ski resort. To create a sense of
balance and inclusion in the photos, the ACPC has decided that
the colour of the people’s gear must fit certain criteria.
Each person has four pieces of gea... | 30,399 |
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