task stringlengths 0 154k | __index_level_0__ int64 0 39.2k |
|---|---|
Union-Find
Description:
## Input
The first line of input consists of two integers
$N$ and $Q$, where $1 \le N \le 1\, 000\, 000$ is the
number of elements in the base set and $0 \le Q \le 1\, 000\, 000$ is the
number of operations. Then follow $Q$ lines, one per operation. There
are two types of opera... | 30,400 |
Unique Dice
Description:
You are about to leave home for your weekly game of Pumpkins
and Flagons (P&F) when a text comes in asking you to bring
a large collection of identical P&F dice. They have asked
the right person, for you have a very large collection of
P&F dice which, unfortunately, is currentl... | 30,401 |
Unique Snowflakes
Description:
Emily the entrepreneur has a cool business idea: packaging
and selling snowflakes. She has devised a machine that captures
snowflakes as they fall, and serializes them into a stream of
snowflakes that flow, one by one, into a package. Once the
package is full, it is close... | 30,402 |
Units
Description:
The use of units is ubiquitous in science. Physics uses
units to distinguish distance (e.g., meters, kilometers, etc.),
weight (e.g., kilograms, grams), and many other quantities.
Computer scientists have specialized units to describe storage
capacity (e.g., kilobytes, megabytes, etc... | 30,403 |
University Zoning
Description:
In an effort to contain a recent pandemic, a certain
university has decided to implement a zoning system. The school
campus is a rectangular plot of land and is divided into a grid
with $R$ rows and
$C$ columns. Rows and
columns are numbered from $1$ to $R$ and $C$ re... | 30,404 |
Unlock Pattern
Description:
A pattern is more complex if the total length of the stroke
is longer. Given an unlock pattern, can you calculate its
length? We assume that the pivots are aligned on a unit grid,
and the stroke moves in a straight line between two consecutive
pivots.
The sample input corre... | 30,405 |
Unlock Pattern II
Description:
Consider the directional changes along the unlock pattern.
The pattern may take a left turn (‘L’), a
right turn (‘R’), go straight (‘S’), or turn around (‘A’) at each
pivot except for the first and the last pivot. If we write down
the directional changes into one string, ... | 30,406 |
Uno Reverse
Description:
You just returned to your Uno game after a
much-needed visit to the restroom. When you left, the player to
your left had the turn, with play going clockwise. You can see
that in your absence, no cards were drawn, only Reverse cards
were played, and the turn just passed. Is it p... | 30,407 |
Unown Code
Description:
Professor Rowan has been researching a group of Unown in the
Solaceon Ruins who have come up with a secret code. Each Unown
is shaped like a digit, and they have grouped together to form
$N$ numbers ($a_1, \ldots , a_ N$). Their code is
the smallest integer $c >
1$ such that... | 30,408 |
Unown Code (Easy)
Description:
Note that this is an easier version of
the problem unowncode.
Professor Rowan has been researching a group of Unown in the
Solaceon Ruins who have come up with a secret code. Each Unown
is shaped like a digit, and they have grouped together to form
$N$ numbers ($a_1, \ld... | 30,409 |
Unread Messages
Description:
There is a group of people in an internet email message
group. Messages are sent to all members of the group, and no
two messages are sent at the same time.
Immediately before a person sends a message, they read all
their unread messages up to that point. Each sender also read... | 30,410 |
Unreal Estate
Description:
A dishonest landowner is selling off plots of land. He’s
selling it in large, rectangular plots, but many of the plots
overlap, so he’s actually selling the same land multiple times!
It’s not real estate, it’s unreal estate!
Given a description of the possibly overlapping rectan... | 30,411 |
Unterwave Distance
Description:
The year is 2312, and Humanity’s Rush to the Stars is now
$200$ years old. The
problem of real-time communication between star systems
remains, however, and the key is the unterwave.
Unterwave (UW) communication works as follows: direct UW
links have been set up between... | 30,412 |
Unusual Darts
Description:
In the game of Unusual Darts, Alice throws seven darts onto
a $2$-foot by $2$-foot board, and then Bob may or
may not throw three darts.
Alice’s seven darts define a polygon by the order in which
they are thrown, with the perimeter of the polygon connecting
Dart $1$ to
D... | 30,413 |
Up a Tree
Description:
Anatoly Cheng McDougal is a typical student in many ways.
Whenever possible he tries to cut and paste code instead of
writing it from scratch. Unavoidably this approach causes him
problems. For example, when he first learned about preorder,
inorder and postorder traversals of tre... | 30,414 |
Up and Away
Description:
Steve has set up $n$
bases on multiple mountains around his house, located at
mountain $1$. He wants to
fly from one base to another using his elytra and get to his
vacation house at mountain $x$. Unfortunately, flying from one
base to another takes time, and he can only do... | 30,415 |
Up and Away Again
Description:
Another year has passed, and Steve wants to travel to his
vacation house again! There are still $n$ bases located on mountains located
around his house. Steve is located at mountain $1$ and his vacation house is at
mountain $x$.
This year, the Biomes Ski Corporation has buil... | 30,416 |
Up and Down
Description:
Given a sequence of integers with length $N$, find the maximum length of a
subsequence that strictly increases and then strictly
decreases; the last position of strictly increasing must
coincide with the first position of strictly decreasing. A
subsequence can be obtained from ... | 30,417 |
Upplega
Description:
It is only truly winter once the snow has settled on all the
branches of the $N$ trees
on the street outside your house. The street with all the trees
can be represented in an arbitrarily large grid. Along the
street, the $N$ trees
stand in a row. The trunk of each tree $i$ is ... | 30,418 |
Uppröðun
Description:
One thing the planning committee has to do is decide what
team should sit in what classroom. There are $N$ classrooms and $M$ contestants. The classrooms are
roughly the same size, so it is best if the teams are assigned
to the rooms in as equal numbers as possible. For example if
... | 30,419 |
Uprooted
Description:
King Sombra was finally defeated, but at what cost?
The Tree of Harmony, a magical tree that once held the
Elements of Harmony—six supernatural artifacts containing the
most powerful magic in all of Equestria—was destroyed in the
war. Without it, Equestria is the most vulnerable it h... | 30,420 |
Urban Design
Description:
## Input
Input begins with an integer $S$ on a single line, giving the
number of streets ($1 \le S \le
10\, 000$). The next $S$ lines of input each contain four
integers $x_1$,
$y_1$, $x_2$, and $y_2$, specifying the coordinates of
two distinct points $(x_1,
y_1)$ and... | 30,421 |
Using Digits
Description:
He must begin by stepping onto the square closest to
himself, which we can think of as square $(1, 1)$, and walk to some other
square, which we can think of as square $(X, Y)$ for some $X, Y > 1$. Each step he takes is
in either the positive-X or positive-Y direction, one square a... | 30,422 |
Uuu
Description:
Unununium (Uuu) was the name of the chemical
element with atom number 111, until it changed to
Röntgenium (Rg) in 2004. These heavy elements are very
unstable and have only been synthesized in a few
laboratories.
You have just been hired by one of these labs to optimize
the algori... | 30,423 |
Uzastopni
Description:
Petar is throwing a birthday party and he decided to invite
some of the employees of his company where he is the CEO.
Each employee, including Petar, has a unique label from
$1$ to $N$, and an accompanying type of jokes
they tell $V_ i$. Also,
each employee of the company except... | 30,424 |
V
Description:
Zvonko is playing with digits again, even though his mother
has warned him that he is doing too much math and should go
outside to play with his friends.
In his latest game, Zvonko looks for multiples of an integer
$X$, composed only of
certain digits. A multiple of $X$ is any number di... | 30,425 |
Vaccine Efficacy
Description:
To determine the efficacy of a vaccine against a disease, a
clinical trial is needed. Some participants are given the real
vaccine, while others are given a placebo as the control group.
The participants are tracked to determine if they are infected
by three different stra... | 30,426 |
Vacuum Tubes
Description:
## Task
Given a set of tube lengths and the two distances
$L_1$ and $L_2$, find four tubes with the total
length being as long as possible under the constraint that the
sum of the first two tube lengths is at most $L_1$ and the sum of the last two tube
lengths is at most $L_2... | 30,427 |
Vacuumba
Description:
You are developing software for a new generation of robotic
floor vacuums. Being an inexpensive, mass market robot, this
device has a fairly simple way of navigating around the room.
It can turn by some angle to the left or right and then move
forward in a straight line. A plan fo... | 30,428 |
Vanishing Parentheses
Description:
Your top secret organization does a lot of cool stuff, and
they don’t like to talk about what’s going on. However, they
have told you that something has gone horribly wrong
transferring very important mathematical formulae from
somewhere to somewhere else; all of the ... | 30,429 |
Variable Arithmetic
Description:
Computers are great at helping humans perform mathematical
operations. A person can define names (aka variables) to
represent numbers, and then write statements that have deeper
semantic meaning. For example, rather than ‘$3$ + $8$’, one could write ‘length +
width’. As... | 30,430 |
Variable Names
Description:
Nikolaj has been programming for many years, but never
really understood the point of writing readable code. Nikolaj’s
variable names are always $c_1$, $c_2$, $c_3$, etc. Sometimes Nikolaj wants to
declare a new variable called $c_
i$, but the name $c_
i$ may already be ... | 30,431 |
Varied Amusements
Description:
Marika and Lisa love going to amusement parks. This time,
they have their eyes set on a park with lots of exciting rides
of three different types: tilt-a-whirls, roller coasters and
drop towers. There are $a$
different tilt-a-whirls, $b$ roller coasters and $c$ drop tower... | 30,432 |
Vasaloppet
Description:
Charlotte is watching Vasaloppet on TV. The broadcast starts
at second $0$ and ends at
second $T$. Unfortunately,
there are also $N$ ad
breaks, lasting during $N$
non-overlapping intervals of seconds between second
$0$ and second
$T$. Charlotte becomes
very inspi... | 30,433 |
Vase Collection
Description:
Mr Cheng is a collector of old Chinese porcelain, more
specifically late 15th century Feng dynasty vases. The art of
vase-making at this time followed very strict artistic rules.
There was a limited number of accepted styles, each defined by
its shape and decoration. More s... | 30,434 |
Vauvau
Description:
In a nearby village, the postman, milkman and garbage man
face the same problem morning after morning: house 18. House 18
is guarded by two dogs that often cause problems. What they
don’t know is that the dogs’ behaviour is completely
predictable.
When the day starts, one dog is ag... | 30,435 |
Veci
Description:
Your program will be given an integer X. Find the smallest
number larger than X consisting of the same digits as X.
## Input
The first line of input contains the integer $X$ ($1
\le X \le 999\, 999$). The first digit in $X$ will not be a zero.
## Output
Output the result on a single line.... | 30,436 |
Vector Functions
Description:
Your task is to implement the following C++ functions:
```
#include "vectorfunctions.h"
// Reverse a vector.
// Note that it is sent as a reference, so you should
// reverse the same vector that was sent in.
void backwards(vector<int>& vec){
...
}
// Return every other element ... | 30,437 |
Vefþjónatjón
Description:
A web server needs three pieces to work: a CPU, memory and a
hard drive. If one or more of these are missing, the web server
won’t work.
Bjarki had the idea that he could take parts from some of
the servers and put them into others. For example if one
webserver has a CPU and ... | 30,438 |
Veggja Kalli
Description:
Kalli is quite the carpenter and has a particular penchant
for walls. Today Kalli received a new project. An apartment is
being built, the plans for which are given by $N$ elements. Each element denotes a
cell which is either a wall, denoted by #, or an open space, denoted by .. T... | 30,439 |
Veggspjöld
Description:
Hrolleifur is quite the cinephile and collects all kinds of
paraphernalia related to movies. One of the things he has done
is collect posters that advertise movies. He makes sure to own
at least one poster for each movie, which he then glues to the
wall in his room.
Now Hrollei... | 30,440 |
Veggurinn, seinni hluti
Description:
When Trump’s contractors have built the wall then Trump
calls Maggi the painter:
The wall is $N$ units
wide and the units are numbered from $1$ to $N$. Maggi’s car isn’t very large and
can’t hold all the paint he needs, so he will need to make
several trips to the ... | 30,441 |
Velkomin!
Description:
Welcome to Forritunarkeppni Framhaldsskólanna 2021.
## Input
There is no input in this problem.
## Output
Print a single line containing VELKOMIN!
## Scoring
Group
Points
Constraints
1
100
No further constraints
**Sample Input 1**
**Sample Output 1**
```
VELKOMIN!
```
| 30,442 |
Vending Machine
Description:
Sleazy Bob has happened upon a vending machine. After
watching enough people buy tasty snacks, Bob has realized that
the vending machine is broken!
Here’s what Sleazy Bob observes:
* A person tries to buy a snack
* The vending machine then checks to see if there are any
... | 30,443 |
Venn Intervals
Description:
A Venn interval diagram is a graphical way to
illustrate intersections of sets in 1D, similar to the more
familiar Venn diagrams in 2D. A Venn interval diagram is
defined by assigning a non-zero-length integer interval
$[l_ i, u_ i)$ to each set
$S_ i$. The
regions w... | 30,444 |
Verify This, Your Majesty
Description:
The “eight queens puzzle” is a classic puzzle where you have
to place eight queens on a chess board in such a way that no
queen can attack another queen. Remember that, in chess, queens
can move in any direction (horizontal, vertical, and diagonal),
which means th... | 30,445 |
Very Important Edge
Description:
You are given a simple connected graph where each edge is
assigned a non-negative weight. Recall that a minimum spanning
tree of a graph is a connected, acyclic subset of the edges of
the graph with minimum total weight. Find an edge which
maximizes the minimum spanning... | 30,446 |
Veður
Description:
As often before there is now a blue dotted weather warning
in the capital area so people need to be cautious when out and
about. The met office’s supercomputer blew away so people need
help planning their routes.
The wind forecast for the capital area can be represented by
a two-dim... | 30,447 |
Veður - Lokaðar heiðar
Description:
Once more a low pressure system is over Iceland. Vegagerðin
contacts you to ask for help in determining which roads should
be closed.
To simplify things we will assume the wind speed is the same
over the entire country. You are given the current wind speed,
a list o... | 30,448 |
Veður - Vegakerfi
Description:
Vegagerðin has contacted you again regarding another
assignment. A lot of Icelanders are travelling across the
country despite the bad weather. As a result Vegagerðin gets a
lot of inquiries, for example, whether it’s possible to travel
from Kópavogur to Egilsstaðir given... | 30,449 |
Veður - Vindhraði
Description:
You’ve gotten a job at the Icelandic Met Office, working in
a data management position. Your first task is to sort wind
speeds into wind levels. The levels are as follows:
Wind level name
m/s
Logn
0 - 0.2
Andvari
0.3 - 1.5
Kul
1.6 - 3.3
Gola
3.4 - 5.4
Stinningsgola
5.... | 30,450 |
Victory Through Synergy
Description:
He has a list of $10$
players that are on his fantasy team (no goalkeepers in this
league). He also knows what country they’re from, what league
they play in, and what team they play for.
He doesn’t know much about soccer, but he does know these
things:
* If two p... | 30,451 |
Video Speedup
Description:
Anthony recently started watching YouTube videos with the
title “$X$ but every time
$Y$ happens it speeds up
by $Z$”. He likes watching
these videos because it saves time, but he wonders how much
time he actually saves by watching these videos (instead of the
original... | 30,452 |
Videopoker
Description:
Videopoker is the slot machine variant of the currently
immensely popular game of poker. It is a variant on draw poker.
In this game the player gets a hand consisting of five cards
randomly drawn from a standard $52$-card deck. From this hand, the
player may discard any number o... | 30,453 |
Villager Trading
Description:
Steve is planning his retirement. He has decided to settle
down in a nice town full of villagers. Of course, he doesn’t
want to ever have to leave the village and go mining once he
retires, so he is planning to collect every resource he’ll need
now.
Unfortunately, he does... | 30,454 |
Vin Diagrams
Description:
Venn diagrams were invented by the great logician John Venn
as a way of categorizing elements belonging to different sets.
Given two sets $A$ and
$B$, two overlapping
circles are drawn – a circle representing the elements of
$A$, and another
representing the elements o... | 30,455 |
Vinir
Description:
## Input
The first line of the input contains two integers
$N$, the number of people
present, and $Q$, the
number of queries. The next $Q$ lines contain one query each.
There are two kinds of queries, 1 a b
signifies that Benni saw $1 \leq
a \leq n$ and $1 \leq b
\leq n$... | 30,456 |
Vinnuálag
Description:
Knowing all you do now about the ÁFLV course you think to
yourself how much effort you would have had to exert, had you
worked the same amount every week of the course? That’s exactly
what we’ll consider here. To clarify, same effort every week
means equally many seconds are spen... | 30,457 |
Virtual Friends
Description:
These days, you can do all sorts of things online. For
example, you can use various websites to make virtual friends.
For some people, growing their social network (their friends,
their friends’ friends, their friends’ friends’ friends, and so
on), has become an addictive h... | 30,458 |
Virtual Reality Playspace
Description:
Yolanda just finished moving the furniture around her house.
Her house is shaped like a rectangle of side lengths
$r$ and $c$. Yolanda wants to choose a place
to put her virtual reality (VR) playspace.
Yolanda has some standards for how a VR playspace should be
p... | 30,459 |
Virus
Description:
Boschua is not very good at cybersecurity. Last month, he
turned off the firewall because it wouldn’t let him download
cat pictures. Unfortunately, this led to him getting a virus.
The virus did something very strange: it added a bunch of
letters to all the filenames.
For example, i... | 30,460 |
Virus Replication
Description:
Some viruses replicate by replacing a piece of DNA in a
living cell with a piece of DNA that the virus carries with it.
This makes the cell start to produce viruses identical to the
original one that infected the cell. A group of biologists is
interested in knowing how mu... | 30,461 |
Virus Synthesis
Description:
Viruses are usually bad for your health. How about fighting
them with…other viruses? In this problem, you need to find out
how to synthesize such good viruses.
We have prepared for you a set of strings of the letters A,
G, T and C. They correspond to the DNA nucleotide sequenc... | 30,462 |
Visitors Train
Description:
An aviary or a flight cage is a big cage for birds. An usual
ZOO aviary typically measures tens of meters in diameter. In
the aviaries, the birds can fly around and live in conditions
imitating the conditions in the wild as closely as possible. At
least in theory. There is o... | 30,463 |
VisuAlgo Online Quiz
Description:
VisuAlgo (http://visualgo.net)
is a website developed by a team of staff and students of
School of Computing, National University of Singapore, the host
of the 2015 ACM-ICPC Asia Singapore Regional. VisuAlgo
visualizes a number of popular data structures and algorith... | 30,464 |
Visual Python++
Description:
In the recently proposed Visual Python++ programming
language, a block of statements is represented as
a rectangle of characters with top-left corner in row
$r_1$ and column
$c_1$, and bottom-right
corner in row $r_2$ and
column $c_2$. All
characters at location... | 30,465 |
VivoParc
Description:
Vivoparc is a zoological park located in Valencia. It has
recently added a new area formed by a big plane savanna
grassland divided into several enclosures.
Our purpose is to assign one animal of the 4 different
species (lions, leopards, tigers, and panthers) to each of the
new V... | 30,466 |
Viðnámsflækja
Description:
As per usual everything is in disarray at KFFÍ right before
the contest. While others are just starting to turn up at
Reykjavík University to prepare things Bjarki has already shown
up and is crawling under the tables. When asked why he was
doing that he said he was fixing th... | 30,467 |
Viðsnúningur
Description:
## Input
One line containing $1$
to $1\, 000$ English
letters and digits.
## Output
Print the line after it has been reversed so Óskar can read
it.
Group
Points
Constraints
1
100
No further constraints
**Sample Input 1**
**Sample Output 1**
```
2202annaloksdlahmarfinpp... | 30,468 |
Vještica
Description:
Young hero adventurer Matej has, after a long and strenuous
journey, arrived to his final destination – the house of evil
witch Marija. In order to complete his adventure, he must solve
the final puzzle the witch gives him.
To even begin solving her puzzle, our hero needs to become
... | 30,469 |
Vocabulary
Description:
According to a popular belief, computer programmers drink a
lot of coffee and know only a few words. The vocabulary of a
typical programmer consists of just three words. Besides, he
rarely knows how to spell them. To help programmers with their
spelling mistakes, we published a ... | 30,470 |
Voff
Description:
Then suddenly Atli hears a bark, then another and then over
and over. Atli finds the barking quite annoying but he always
tries to make the best of a situation so he tries to turn this
into a puzzle to solve.
First Atli writes down the current second every time he
hears a bark, denot... | 30,471 |
Volim
Description:
Croatia’s national television programme is broadcasting an
entertainment show titled “I Love Croatia”, modeled on the
licensed format I love my country. In this show two
teams of celebrities and public figures play various games
which require knowledge about Croatia. One of the games... | 30,472 |
Volume Amplification
Description:
You have a bunch of audio amplifiers which you have been
given by your uncle, who has too much stuff lying around. An
amplifier takes an audio signal as input and produces the same
signal frequencies as output, but with a possibly different
volume level. It multiplies ... | 30,473 |
Vudu
Description:
Young Mirko has been buying voodoo dolls lately. Considering
that he is very interested in the cheapest purchase possible,
he has been tracking the prices of voodoo dolls each day. His
price list consists of doll prices in the last $N$ days, where doll price
$a_ i$ represents the
... | 30,474 |
Vuk
Description:
Vjekoslav the Wolf is running away from a bunch of blood
hungry hunters. The hunters are smart and hide behind trees.
Vjekoslav knows this, but doesn’t know which trees. He would
like to run to his comfortable, civilized cottage (as opposed
to the hunters quite uncivilized den, yes I a... | 30,475 |
WERTYU
Description:
A common typing error is to place the hands on the keyboard
one row to the right of the correct position. So "Q" is typed
as "W" and "J" is typed as "K" and so on. You are to decode a
message typed in this manner.
## Input
Input consists of several lines of text. Each line may
con... | 30,476 |
WFF 'N PROOF
Description:
WFF ’N PROOF is a logic game played with dice. Each die has
six faces representing some subset of the possible symbols
$K, A, N, C, E, p, q, r, s,
t$. A Well-formed formula (WFF) is any string of these
symbols obeying the following rules:
* $p, q, r, s,$ and
$t$ are W... | 30,477 |
Waif Until Dark
Description:
“Waif Until Dark” is a daycare center specializing in
children of households where both parents work during the day.
In order to keep the little monsters …that is, darlings
…occupied, the center has a set of toys that the kiddies can
play with. Some of these toys belong to ... | 30,478 |
Walk
Description:
Alice would like to visit Bob. However, they live in a hilly
landscape, and Alice does not like to walk in hills. She has a
map of the area, showing the height curves. You have to
calculates the total altitude climbed, and the total altitude
descended, for the route which minimizes th... | 30,479 |
Wall
Description:
It’s the 14th century and construction of the Trakai Island
Castle is to begin soon. The first task on the chief
architect’s list is to plan the construction of the main castle
wall.
Building a wall that can protect the castle from any
possible attack is quite tricky. To ensure the s... | 30,480 |
Walrus Weights
Description:
Wallace the Weightlifting Walrus is training for a contest
where it will have to lift $1\,
000$ kg. Wallace has some weight plates lying around,
possibly of different weights, and its goal is to add some of
the plates to a bar so that it can train with a weight as close
... | 30,481 |
Walt Bellamy
Description:
Walt Bellamy holds the record for the most NBA games played
in a single season. You might be wondering, “But every team
plays the same number of games each year, so how can one player
hold the record for most games played?” In 1968–1969, Walt
played in $88$
regular-season ... | 30,482 |
War on Weather
Description:
After an unprovoked hurricane attack on the south shore,
Glorious Warrior has declared war on weather. The first salvo
in this campaign will be a coordinated pre-emptive attack on as
many tropical depressions as possible. GW reckons that the
attack will neutralize the tropic... | 30,483 |
Warehouse
Description:
Elvira is processing shipments for the Christmas season!
There are various shipments of toys coming into her warehouse
throughout the day, and her boss wants a summary report at the
end. Each shipment consists of some number of a single kind of
toy.
The summary report is an aggr... | 30,484 |
Warring Scoring
Description:
Notnomde and Yraglac have been stuck at home for months, and
have taken to playing ping pong to pass the time. Usually, the
player who scores the highest number of points wins, but after
a while Notnomde and Yraglac got tired of using the same rules
all of the time. Both pl... | 30,485 |
Watch Later
Description:
While browsing YouTube videos, you commonly use the handy
dandy tool that is Add Video to Watch
Later. One day you finally decide that ‘Later’ has finally
arrived and you have SO many videos in your list.
You have a list of videos with different types. For example,
some might ... | 30,486 |
Watch Out For Those Hailstones!
Description:
An interesting theory in mathematics is that there is a
sequence generator that, given any positive integer as the
starting point, always ends with the number $1$. Although this theory has never
been proven, the conjecture is known as the Collatz Conjecture
... | 30,487 |
Watch Where You Step
Description:
You are an employee at the local zoo and have recently been
promoted from excretory extraction to overseeing the layout of
all the sidewalks throughout the property. Currently all the
sidewalks are $1$-way, and
the zoo is set up in various zones. Each zone is made
... | 30,488 |
Watchdog
Description:
A company (name withheld) has an office building in the
center of Lund. The building has a perfectly square roof with a
number of hatches. Because of a series of burglaries where the
perpetrators have entered through these hatches, it was decided
to use a watchdog to guard the hat... | 30,489 |
Water
Description:
A water company is trying to provide water from its pumping
station to a mansion. The company owns $n$ water stations, numbered
$1 \ldots n$, which are
connected by a variety of pipes. Water can flow through both
directions of a pipe, but the total amount of water that can
flow t... | 30,490 |
Water Decor
Description:
The Pokemon Aquarium is finally remodeling! To commemorate
its $5^{th}$ year
anniversary, the Aquarium has built a massive water-based
decoration!
The decoration is quite an interesting design and can be
modeled as a series of non-overlapping circles in the square
$(0, 0)$... | 30,491 |
Water Journal
Description:
Every day, Eugene logs how many cups of water he drank. He
forgot to log one entry in his journal though, but he remembers
the minimum number and maximum number of cups of water he drank
every day since he started logging his journal, and that there
was at least one day where... | 30,492 |
Watering Grass
Description:
$n$ sprinklers are
installed in a horizontal strip of grass $l$ meters long and $w$ meters wide. Each sprinkler is
installed at the horizontal center line of the strip. For each
sprinkler we are given its position as the distance from the
left end of the center line and its ... | 30,493 |
Watersheds
Description:
Geologists sometimes divide an area of land into different
regions based on where rainfall flows down to. These regions
are called drainage basins.
Given an elevation map (a 2-dimensional array of altitudes),
label the map such that locations in the same drainage basin
have the... | 30,494 |
Waterworld
Description:
Thousands of planets outside the Solar System have been
discovered in recent years. An important factor for potential
life support is the availability of liquid water. Detecting
water on faraway planets is not easy. For rotating planets, a
brand-new technology using relativistic... | 30,495 |
Weak Vertices
Description:
Engineers like to use triangles. It probably has something
to do with how a triangle can provide a lot of structural
strength. We can describe the physical structure of some
designs using an undirected graph. We’ll say vertex
$i$ is part of a triangle
if $i$ has two diffe... | 30,496 |
Weather Report
Description:
For a particular device’s location, you may assume that the
weather each day is an independent random event, and you are
given the predicted probabilities of the four possible weather
types. Each of the $4^ n$
possible weather reports for a device must be encoded as a
un... | 30,497 |
Wedding
Description:
Up to thirty couples will attend a wedding feast, at which
they will be seated on either side of a long table. The bride
and groom sit at one end, opposite each other, and the bride
wears an elaborate headdress that keeps her from seeing people
on the same side as her. It is consid... | 30,498 |
Weightlifting
Description:
In competitive weightlifting, you must perform a sequence of
lifts. You have a constant strength $s$, and a decreasing energy reserve
$e$. For each lift, you
may choose any positive (not necessarily integer) weight
$w$ to attempt. If
$s \ge w$, the lift
succeeds and y... | 30,499 |
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