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Weighty Tomes Description: The Computer Science Library on campus needs to be temporarily closed for renovations and you have been put in charge of the storage of all the library’s books. After getting over the shock of being selected as well as the shock that the campus actually had a CS library, you ...
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Weird Flecks, But OK Description: An artist who wanted to create an installation where his works appeared to be floating in midair has cast a large cube of clear acrylic to serve as a base. Unfortunately, during the casting, some small flecks of dirt got into the mix, and now appear as a cluster of pin...
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Welcome Sign Description: Amanda is opening a new bakery in town. She will put up a fancy LED sign to show a grand opening message on the storefront window. The sign has $r$ rows and $c$ columns of display units. Each unit can display one letter or be blank. Amanda has written a message consisting of exac...
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Welcome to Code Jam (Easy) Description: Note that this is an easier version of the problem welcomehard. So you’ve registered. We sent you a welcoming email, to welcome you to code jam. But it’s possible that you still don’t feel welcomed to code jam. That’s why we decided to name a problem “welcome to...
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Welcome to Code Jam (Hard) Description: Note that this is a harder version of the problem welcomeeasy. So you’ve registered. We sent you a welcoming email, to welcome you to code jam. But it’s possible that you still don’t feel welcomed to code jam. That’s why we decided to name a problem “welcome to ...
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Wet Tiles Description: Alice owns a construction company in the town of Norainia, famous for its unusually dry weather. In fact, it only rains a few days per year there. Because of this phenomenon, many residents of Norainia neglect to do roof repairs until leaks occur and ruin their floors. Every year...
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Whac-a-Mole Description: The moles appear out of holes occupying the $n^2$ integer points $(x, y)$ satisfying $0 \le x,y < n$ in a two-dimensional coordinate system. At each time step, some moles will appear and then disappear again before the next time step. After the moles appear but before they disappea...
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What Does It Mean? Description: Bob has always been interested in his family history, and above all else his family name’s meaning. Unfortunately for Bob, no one else in his family has ever had any similar interest whatsoever. Because of this the family name seems to have changed at random points in ti...
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What Really Happened on Mars? Description: Real-time software in the Mars Pathfinder spacecraft suffered from an issue known as priority inversion. One technique to address this issue is to use the Priority Ceiling Protocol. In this problem, you will simulate the execution of multiple tasks according ...
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What does the fox say? Description: Determined to discover the ancient mystery—the sound that the fox makes—you went into the forest, armed with a very good digital audio recorder. The forest is, however, full of animals’ voices, and on your recording, many different sounds can be heard. But you are we...
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What's In It For Me? Description: Pekka has started preparing for the beautiful summer on the beaches along the great Finnish lakes. He has started his yearly spring diet. Although the diet is very strict and boring, it has given Pekka fruitful results for the last $10$ years as well as an increase...
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What's Our Vector, Victor? Description: You have been hired by Ye Olde Ice Cream Shoppe to create an embedding model for flavors, so that when they are out of an ice cream flavor they can recommend related flavors to customers. After training your embedding on six cloud datacenters for four months, you...
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What's on the Grille? Description: The grille cipher  is a technique that dates back to 1550 when it was first described by Girolamo Cardano. The version we’ll be dealing with comes from the late 1800’s and works as follows. The message to be encoded is written on an $n \times n$ grid row-wise, top...
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Wheel Game Description: It’s yet another rainy day in 1959, there are no video games, and you are stuck indoors playing a game with a friend. The game is played using an even number $2n$ of sticks, laid out on a table to form a wheel with $n$ spokes as shown in the figure below. You and your friend ta...
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Wheels Description: A very important and complicated machine consists of $n$ wheels, numbered $1, 2, \ldots , n$. They are actually cogwheels, but the cogs are so small that we can model them as circles on the plane. Every wheel can spin around its center. Two wheels cannot overlap (they do not ha...
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When Planetoids Align Description: After the Twilight Wars, both Venus, Earth and Mars broke into small pieces we now call planetoids. Fortunately humanity survived, and has managed to repopulate the remains of what was once was the Planetarian Trinity. To keep the planetoids united, we formed the Inte...
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Where Am I Now? Description: Who am I? What am I? Why am I? These are all difficult questions that have kept philosophers reliably busy over the past millennia. But when it comes to “Where am I?”, then, well, modern smartphones and GPS satellites have pretty much taken the excitement out of that questi...
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Where Am I? Description: Who am I? What am I? Why am I? These are all difficult questions that have kept philosophers reliably busy over the past millennia. But when it comes to “Where am I?”, then, well, modern smartphones and GPS satellites have pretty much taken the excitement out of that question. ...
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Where Have You Bin? Description: Ben Bean owns Ben Bean’s Bin Bonanza which offers storage bins to the five big companies in town: a rubber band company, a Mercedes Benz dealership, a bing cherry farm, a bonbon candy store and a bun bakery. Together they store their bands, Benzes, bings, bonbons and bu...
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Where to Live? Description: Moving to a new town can be difficult. Finding a good place to live which is close to everything you’re interested in is important. However, since you’re a great programmer, you know that you can solve this problem with an algorithm. Everything in your virtualized town is laid ...
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Where's My Internet?? Description: A new town is being built far out in the country, and currently there are $N$ houses. People have already started moving in. However, some of the houses aren’t connected to the internet yet, and naturally residents are outraged. The houses are numbered $1$ to $N$. Ho...
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Where's My Waterfall? Description: As a level designer for Super Mawio Bros, you have been creating maps for Mawio to play on, each with some combination of blank spaces, bricks, and item boxes for Mawio to navigate on his way to save Princess Pweach. You want to make some of the maps more interesting,...
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Which Base is it Anyway? Description: Programming languages such as C++ and Java can prefix characters to denote the base of constant integer values. For example, hexadecimal (base $16$) constants are preceded by the string “0x”. Octal (base $8$) values are preceded by the character “0” (zero). Decimal...
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Which Bits? Description: The year is $2025$, and Eirdria has just purchased the greatest new computer model, now with $2^{63}$ bits ($1$ exbibyte) of RAM! The dramatic increase in RAM size from previous models is certainly welcomed, but along with it comes some technical quirks. One issue is th...
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Which Number Kind Is It? Description: There are many number kinds out there and I am sure you know some of them already! To name a few: * Odd number (O): $1, 3, 5, 7, 9, \ldots $ * Square number (S): $0, 1, 4, 9, 16, 25, \ldots $ Odd number (O): $1, 3, 5, 7, 9, \ldots $ Square number (S): ...
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Which One is Larger Description: A question that often confuses a chat bot is: Some chat bot would incorrectly state that $9.11$ is larger than $9.9$. Though we are not exactly sure what reasoning is behind that wrong answer, one hypothesis is that the chat bot might have compared the decimal numbers as i...
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Which Planet is This?! Description: The ICPC was planning to release this exciting news to the public, but at the last moment, disaster struck. One of the ICPC’s interns deleted all meta-data associated with the maps. So while the maps themselves are safe, the ICPC does not know which maps belong to wh...
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Which Warehouse? Description: Anaconda Inc. has a problem in several of the cities where its warehouses are located. The generic problem is the following: each city has $n$ warehouses storing $m \leq n$ different types of products distributed randomly among the warehouses (the CEO of Anaconda say the s...
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Which is Greater? Description: Given two positive integers, determine whether the first one is larger than the second one. ## Input The single line of input contains two positive integers, $a$ and $b$ ($0 < a,b \le 10^9$). ## Output Output a single line with 1 if $a > b$, 0 otherwise. **Sample Inp...
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White Water Rafting Description: You have been hired by a big theme park to design a new attraction: a white water rafting ride. You already designed the track; it is a round trip that is described by an inner and an outer polygon. The space in between the two polygons is the track. You still need to ...
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Whiteboard Description: Mr. Turtle loves drawing on his whiteboard at home. One day when he was drawing, his marker dried out! Mr. Turtle then noticed that the marker behaved like an eraser for the remainder of his drawing. Mr. Turtle has a picture in his head of how he wants his final drawing to appe...
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Whiteboard Space Description: Hosuja is going to present the intended solution for an unusually tricky problem. To assist him, he has a whiteboard and a red and a blue pen. The solution he presents contains $N$ ideas to be presented in order, and each idea’s presentation requires a certain amount o...
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Who Goes There? Description: What happens when more teams want to go to an ICPC regional site than the site has capacity for? Who goes there? One possible policy is the following: Every school is allowed to register as many teams as they wish. Accept every school’s first team, then accept every school’s s...
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Who Wants to Live Forever? Description: Digital physics is a set of ideas and hypotheses that revolve around the concept of computable universe. Maybe our universe is just a big program running on a Turing machine? Is the state of the universe finite? Will the life of the universe end? We can only theo...
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Who Watches the Watchmen? Description: There are some sentry drones guarding a top-secret facility. Each sentry is stationary at some point in 3D space, and faces in some viewing direction. With recent advances in artificial intelligence, the owners of the facility have come to the realization that the gr...
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Who can win? Description: Johan and Abdullah are still playing tic-tac-toe, so now they want help figuring out who can still win in their game. To win in tic-tac-toe you need to have three of your letter in a row, either vertically, horizontally, or diagonally. Johan uses the letter X and makes the fir...
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Who owns the Amiga? Description: In a corridor in a student dormitory, there are five rooms numbered 1, 2, 3, 4 and 5; room number 1 is the left-most room, and room number 5 is the right-most. The rooms have doors in different colours: blue, green, red, white and yellow, but not necessarily in ...
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Who wins? Description: Johan and Abdullah are playing tic-tac-toe, but they are having a hard time figuring out who won. To win in tic-tac-toe you need to have three of your letter in a row, either vertically, horizontally, or diagonally. Johan uses the letter X and makes the first move, and Abdull...
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Who's the Boss? Description: Several surveys indicate that the taller you are, the higher you can climb the corporate ladder. At TALL Enterprises Inc., this “de facto standard” has been properly formalized: your boss is always at least as tall as you are. Furthermore, you can safely assume that your bo...
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Wi Know Description: You are the boss of Wi Know, an upstanding company in information theory, especially in message encryption. The counter-counter-intelligence branch of your upstanding company managed to intercept a message sent by the counter-intelligence agency of the local Helsinkian government. ...
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Wi-Fi Description: One day, the residents of Main Street got together and decided that they would install wireless internet on their street, with coverage for every house. Now they need your help to decide where they should place the wireless access points. They would like to have as strong a signal as...
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Wider Digbuild Description: Benni is once more playing the game Digbuild. Before he looked at how a tunnel of width $3$ could be illuminated, but this time we are looking at a tunnel of width $k$. A tunnel of length $n$ and width $k$ has a floor which can be split into $n \times k$ squares. Torches can...
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Widget Tree Description: Alice got bored when staying at home for several months due to the pandemic and decided to learn about front-end development. She learnt that project components are often modeled as a widget, and decided to write a program to calculate the cost of building and updating them. I...
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Wimbledon Description: A tennis match involves three people: two players and an umpire. Each of these has to come from a different country. There are $N$ countries, and the $i$th country has $a_ i$ tennis players and $b_ i$ umpires. (Nobody can be both a player and an umpire.) How many differen...
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Win Diesel Description: Exploring cave systems on Mars is an easy procedure which was pre-planned on Earth. Each cave system contains several cave rooms which are pairwise disconnected. As the cave rooms are not accessible from the surface, you were given a digging rig so that you are able to dig chann...
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Window Manager Description: The past few years have seen a revolution in user interface technology. For many years, keyboards and mice were the tools used to interact with computers. But with the introduction of smart phones and tablets, people are increasingly using their computers by tapping and movi...
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Window Shopping Description: You are to choose some of the empty cells to build shops. All remaining empty cells, plus the two escalator cells, are walkable by the customers. If an empty cell is reachable from both escalators via some walkable cells, it becomes a hallway. A shop window can be insta...
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Windy Path Description: Consider following along the path in the figure above, starting from $(4,4)$ and moving to $(2,5)$. Then the path turns rightward toward $(1,6)$, then sharp left to $(5,0)$ and finally sharp left again to $(4,2)$. If we use ‘L’ for left and ‘R’ for right, we see that the...
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Winning Streak Description: Mikael likes to gamble, and as you know, almost anything can be gambled on these days. A particular thing that has recently caught Mikael’s interest is the length of the longest winning streak of a team during a season (i.e. the highest number of consecutive games won). In o...
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Winning the Vote Description: In the country of Elecuador, a very strange voting system is used. When it is time for the election, each one of the $n$ citizens will arrive in some order to the voting station. There are only two parties to vote for, conveniently named $1$ and $2$. When arriving to the v...
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Winter Festival Description: Peter’s favorite season is winter. Caught up in the festivities, Peter would like to decorate his city. The city has many areas for things like ice skating, skiing, and snowball fights. There are roads connecting some pairs of areas. Peter would like to put a special decoratio...
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Winter Roads Description: Winter is coming, and the citizens of Winterfell are making preparations for the long months ahead. One particular concern is the stability of the roads and bridges; supply lines must stay uninterrupted as the season progresses. The civil engineers of Winterfell would like to mod...
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Wipe Your Whiteboards Description: You enter an empty classroom to do some homework, and you find out that someone did not clean the whiteboard properly. Apparently, the previous instruction in that room has been about the Extended Euclidean algorithm, because you see lots of intermediate results of th...
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Wire Crossing Description: Moore’s Law states that the number of transistors on a chip will double every two years. Amazingly, this law has held true for over half a century. Whenever current technology no longer allowed more growth, researchers have come up with new manufacturing technologies to pack ...
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Wireless is the New Fiber Description: A new type of unbounded-bandwidth wireless communication has just been tested and proved to be a suitable replacement for the existing, fiber-based communications network, which is struggling to keep up with traffic growth. You have been charged with deciding the ...
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Wiseguy Description: Paulie Cicero is a made man who runs the underworld of Brooklyn along with his associates Jimmy “the Gent" Conway, Tommy DeVito, and the young but ambitious Henry Hill. The crew just got wind of a one-in-a-lifetime opportunity to raid $6 million from the Lufthansa vault at John F. ...
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Witch Dance Description: Each Halloween, the $N$ witches of Sweden all gather high up in the air with their brooms to perform a magical dance. The dance consists of taking one’s broom and rotating clockwise around one of the ends of the broom. Each broom is exactly $1\text { m}$ long, and everyone ...
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Witchwood Description: Maaba is playing the game Lumberjack, where the goal is to build log huts. Her current customer wants a hut made completely out of witchwood, which protects the hut from curses, hexes and magic spells – or at least that’s what the customer claims. However, witchwood is not easy ...
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Within Arm's Reach Description: João wants to join the robotic football team of his university. However, since he knows little about robotics and mathematics, he decided to build a $2$-dimensional robotic arm to bootstrap his knowledge. The robotic arm is composed of $N$ segments of various lengths. The ...
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Wizard Dance Description: In the USA, a type of dance called square dance is very popular. Four dancing pairs stand as to form a square. A caller then gives a series of moves that the dancers should perform, moving around on the floor. American wizards, however, find square dancing a bit simplistic. I...
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Wizard of Odds Description: You have just completed a brave journey to see The Wizard of Odds, who agrees to grant you any wish, so long as you can complete the following puzzle: The Wizard starts by telling you two integers: $N$ and $K$. He then secretly selects a number from $1$ to $N$ (inclusive), and ...
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Wolf Description: In the card game Wolf (a variant of the famous card games War and Svälta räv), two players both have a pile of cards, which together form a normal deck of playing cards. Such a deck contains $52$ cards, with each card being a unique combination of one of $4$ suits and $13$ ranks. Dur...
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Wonky Pizza Description: As is customary at the ACPC, there will be pizza.1 However, due to logistical challenges, the only pizza available is a wonky pizza. The organizers will buy one wonky pizza and need to cut it into $N$ pieces, one for each of the $N$ contestants. The organizers will have to ...
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Wood Cutting Description: Yraglac recently decided to get into the wood cutting business, and now has $N$ customers who would like to have their wood cut. A piece of wood of size $s$ takes $s$ time units to cut, and Yraglac can only cut a single piece of wood at a time. To maximize customer hap...
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Wooden Crates Description: You are an employee at Micah’s Airlift Payload Services (MAPS), which is a local crane company. On this particular day, you receive a call from a guy named Jerry, asking for help in moving a large number of wooden crates. Jerry has $N$ stacks of crates, arranged side-by-side...
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Wooden Fence Description: Did you ever wonder what happens to your money when you deposit them to a bank account? All banks hold such deposits in various assets, such as gold, stocks, obligations, deposits in other banks, loans, bonds, and many others. Due to the financial crisis and instability of the...
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Wooden Signs Description: A carpenter has received an order for a wooden directional sign. Each board must be aligned vertically with the previous one, either to the basis of the previous arrowhead or to the opposite side, being fixed there with a specially designed screw. The two boards must overlap. ...
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Word Cloud Description: A word cloud (or tag cloud) is a visual representation of textual data based on a weighted metric. In the above cloud (which is based on this year’s list of Mid-Central teams), the font size of each word is based on its number of occurrences in the data set. Tagg Johnson is a ma...
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Word Clouds Revisited Description: When we last visited with Tagg Johnson, he was developing software to create images known as word clouds. Although we will not consider all the details, a word cloud provides a visual representation of textual data in which the size of the bounding box for each word d...
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Word Equations Description: You are given a text $T$ and a pattern $P$. You want to check if you can erase some of the letters of $T$ so that the remaining symbols produce exactly $P$. For example, the word programming can be partially erased to obtain pong or program or roaming (but not map, as th...
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Word Game Description: On the Word Game show, Ashley has selected $n$ words and asks Brandon to combine them. Two words $s$ and $t$ can be combined if $s$ has a suffix of length $k > 0$ that is a prefix of $t$. The result of combining them is a new word made of $s$ concatenated with the last ...
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Word Ladder Description: A Word Ladder is a puzzle in which you transform one word into another, by changing one letter at a time. But, there’s a catch: every word that you form in each step must be in the dictionary! Here’s an example of how to transform CAT into GAS: Of course, you want to use the f...
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Word Ladder Description: You and Alice are solving word ladder puzzles. A word ladder is a sequence of words, all with the same number of letters, where each word in the sequence differs from the previous word by a single letter. Because you are better at creating word ladders than at solving them, you ha...
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Word Puzzle Description: Young Anna recently indulges in a word puzzle app on her phone. A word puzzle is a single English word with several blanks. Each blank represents a letter to be filled. For example, the word “programming” may appear as a puzzle p_o_rammin_. When solving a puzzle, Anna first...
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WordSpin Description: Žofka invented a new word puzzle. She gives you two strings $s_1$ and $s_2$ of the same length. You need to modify $s_1$ into $s_2$ as quickly as possible. The trick is that you are allowed to modify the strings only using the following types of moves: (1) shift forward wh...
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Wordle Feedback Description: Wordle is a single-player word-guessing computer game developed by Josh Wardle, and later purchased by The New York Times. In each Wordle game instance, the player is given six attempts to guess a secret $5\textrm{-letter}$ word. On each attempt, the player simply enters a ...
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Wordle with Friends Description: Zoe and her friends enjoy playing Wordle1 together and have decided to work cooperatively to solve the daily puzzle. Wordle is a game where players get six attempts to guess a hidden 5-letter word. With each word guessed, the system will mark each letter with one of three ...
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Words for Numbers Description: We have two ways of writing out numeric values; we can print them in decimal form, like 45, or we can write them out in text, like forty-five. You are a court reporter who gets paid by the character, so you would always prefer to write out numbers the long way. To that en...
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Work Reduction Description: Paperwork is beginning to pile up on your desk, and tensions at the workplace are starting to mount. Your boss has threatened to fire you if you don’t make any progress by the end of the day. You currently have $N$ units of paperwork on your desk, and your boss demands that ...
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Workers of the World Unite! Just Not Too Close. Description: You are in charge of a set of workers working on a project so top secret we can’t even think of a name for it. They are each housed separately in a set of apartments shown on the left in figure 1 and every morning they each leave at the same time...
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Working From Home Description: Nicole has started her own business which she runs from her home office. While on some days she works hard, on others she struggles to find the motivation to get back to the grind. Fortunately, she has come up with a new system: she sets a target to work $m$ minutes e...
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Working at the Restaurant Description: Last night, Tom went on a date with a really nice girl. However, he forgot to take his credit card with him and he had no cash in his wallet, so he ended up working at the restaurant to pay for the bill. His task is to take plates from the waiter when he comes fro...
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Workout Description: Anton is so strong! All the programmers are in awe of his great biceps, wishing they could be just like him. The secret, he says, is to do a workout every single day, doing only bench press. However, you can not just go to the gym and hope for the best. No, to get biceps the size o...
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Workout for a Dumbbell Description: Jim Ratt has just joined a local fitness center. He’s especially excited about a sequence of $10$ machines that he cycles through three times for his workout. He has a fixed time which he spends on each machine, as well as a fixed recovery time after using a machine....
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World Of 3 Description: The Monster Hunter World games have arrived. In your quest to become the best hunter in the land, you have to hunt all the monsters in the land and present them to the king, who will give you a handsome reward for your endeavours. There are various quests to complete and monster...
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Worm Worries Description: You are looking for a place in the soil to put your pet worm, Maximus. You limit your search to a box-shaped region with dimensions $N \times M \times K$ centimeters which you have divided into a three-dimensional grid of cube-centimeter cells, labeled $(x,y,z)$ after thei...
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Wormhole Extreme!!! Description: Brad and Joseph are planning a new science fiction series called Wormhole Extreme!!! where explorers journey about the galaxy by traversing wormholes. As with many science fiction series, the laws of physics are given a creative reinterpretation for the purpose of enter...
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Wormholes Description: A friend of yours, an inventor, has built a spaceship recently and wants to explore space with it. During his first voyages, he discovered that the universe is full of wormholes created by some alien race. These wormholes allow one to travel to places far, far away, but moreover,...
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Worst Weather Ever Description: “Man, this year has the worst weather ever!”, David said as he sat crouched in the small cave where we had sought shelter from yet another sudden rainstorm. “Nuh-uh!”, Diana immediately replied in her traditional know-it-all manner. “Is too!”, David countered cunningly. T...
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Wrapping Snowballs Description: Turbo Granny Alice has a spherical golden snowball (don’t ask why it’s golden) of radius $R_{ball}$ she needs to wrap up as a present. Unfortunately, many of the pieces of paper Alice has are not large enough to wrap the snowball completely. Given circular, flat, pieces ...
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Wrapping Trees Description: After last year’s spectacular failure, the Alberta Christmas Paraphernalia Company (ACPC) is getting an early start on their Christmas tree business this year. With all the extra time they have to prepare, the plan is to use some algorithmic methods to optimize their profits...
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X-ray spectrum Description: When simulating x-ray imaging different energy photons interact differently and therefore needs to be simulated separetly. Often one has an x-ray spectrum with thousands of bins, so that it is impractical to do a simulation for each bin. We want to do simulations only for a ...
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XOR Equation Description: Once there was a great general Paul who issued the following warning: However this time, when the aliens come, they only write down a single line of XOR equation in the form of $a$ xor $b~ =~ c$ (here “xor” denotes the bitwise XOR operator) with some digits hidden in question...
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XOR Island Description: On an island populated entirely with perfect logicians, each islander is wearing a hat that displays a positive integer. Each islander can see all other islanders’ hats, but they cannot see their own hat. An islander has no information about the number on their own hat, other th...
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XOR Sequences Description: Suppose you are given two integers, $m$ and $n$. You are also given a list of $n$ distinct integers $x_1, x_2, \ldots , x_ n$, with $0\! \le \! x_ i\! \le \! 2^ m{-}1$. For each number $y$ from $0$ to $2^ m{-}1$, you’ve found the number $p_ y$ such that $x_{p_ y}$ has...
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XORsistinn Description: Gunnar the priest received a mysterious message by post yesterday that said that one of his parishioners might be possessed. On the back it said ,,You are our only hope XORsist!". Gunnar was in fact a sorcerer and had great experience in repelling spirits and demons. He decided...
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XORsistinn 2 Description: Gunnar the priest received a mysterious message by post yesterday that said that one of his parishioners might be possessed. On the back it said ,,You are our only hope XORsist!". Gunnar was in fact a sorcerer and had great experience in repelling spirits and demons. He decid...
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XYZZY Description: ADVENT: /ad’vent/, n. It has recently been discovered how to run open-source software on the Y-Crate gaming device. A number of enterprising designers have developed Advent-style games for deployment on the Y-Crate. Your job is to test a number of these designs to see which are winn...
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Xor Maximization Description: As you might have heard, Gunnar is an old and forgetful researcher. Most of his research is in security and he cares a bit too much about his own security, so for each website he has a different password. It would be very hard for him to remember all passwords, so for ever...
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Xortris Description: It is 1990 and you are in the development team of a video game that is going to revolutionize the future of arcades. The player is given a rectangular board with some white and black squares. The goal is to turn the whole board white. At each turn, the player may choose a tetromino...
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