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Jupiter Orbiter Description: Although we imagine interplanetary probes to be very sophisticated pieces of technology, their information systems are quite archaic. You might assume that they have a certain amount of contiguous main memory and can store their data wherever is convenient, but unfortunatel...
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Jurassic Jigsaw Description: The famous Jurassic park biologist Dean O’Saur has discovered new samples of what he expects to be the DNA of a dinosaur. With the help of his assistant Petra Dactil, he managed to sequence the samples, and now they are ready for analysis. Dean thinks this dinosaur was affe...
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Jurassic Jungle Description: After having read all the books and watched all the movies from the ‘Jurassic Park’ franchise, Jarvi now knows all about dinosaurs. He has decided to build his own ‘Jurassic Park’ …no, parks are too small, Jarvi will build his own ‘Jurassic Jungle’. Jarvi has already start...
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Jury Jeopardy Description: What would a programming contest be without a problem featuring an ASCII-maze? Do not despair: one of the judges has designed such a problem. The problem is about a maze that has exactly one entrance/exit, contains no cycles and has no empty space that is completely enclosed...
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Jus Accrescendi Description: “Say not you know another entirely, till you have divided an inheritance with him.” ­–Johann Lavater. There has been a heated broil between the three children of the late prime minister over how to divide their father’s property. Reading the will, it is discovered that the...
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Just A Few More Triangles! Description: Recently, Simon has discovered the fantastic world of counting modulo some integer $n$. As you may imagine, he quickly realizes that there are multitudes of Pythagorean triples to which he has previously been oblivious! Simon therefore sets out to find all Pythag...
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Just Do It Description: Given an array $a_1, a_2, \ldots , a_ n$ of integers, find the following value, modulo $1\, 000\, 003\, 233$: ## Input The first line of input contains an integer $n$, denoting the size of the array ($1 \leq n \leq 300\, 000$). The second line of input contains $n$ intege...
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Just Enough Bridges Description: Chimera Ant is an intelligent and hard-working species. There is a colony of $n$ Chimera Ants living near Han River in Danang, Vietnam. They have built $n$ houses (one house for one ant) on one side of Han River, and $n$ feeding grounds on the other side of Han River. The ...
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Just Enough Water Description: As you may remember, in The $2\, 016$ ICPC Nha Trang Regional Contest, the problem Reservoir, we have built a reservoir near the Red River. The reservoir can be viewed as a rectangular box with unit-length width. Its length can be divided into $n$ sections of unit-len...
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Just Passing Through Description: Justin and Fred are taking a road trip, traveling from West to East across their state. They have a few Road Trip Rules: * They must have an awesome time! * The trip must begin somewhere along the Western edge of the state and finish somewhere along the Eastern edge ...
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Just a Minute Description: The American Commuter Movement and the International Commuting Peoples’ Community have had it with this. Especially Johan, a young student, who has decided to investigate this matter further. Johan went to one of the stations, and studied the behaviour of the displays. Each t...
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Just a Quiz Description: In the TV quiz Monstermind, a contestant chooses a topic and is then asked questions about it during a fixed period of time. The contestant earns one point for each correct answer. When the time runs out, the contestant must be silent. Teresa has figured out such a niche topic...
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Just for Sidekicks Description: The ponies’ pets are playing with some gems they found. There are six types of gems, with values $V_1, V_2, \dots , V_6$, respectively. They have laid out $N$ gems in a row. The $i^\text {th}$ of these gems is of type $P_ i$. Now, with nothing better to do and no bette...
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Justice Served Description: You looked at the security recordings and saw a total of $n$ suspects that had been in the room where you left your stroopwafel, each entering and leaving the room exactly once. After seeing this, you already had a good idea who took it since your archrival Rob – who has ...
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Justice for Ants Description: Chimera Ant is an intelligent and hard-working species. There is a colony of Chimera Ants living in Danang, Vietnam. With careful infrastructure planning and hard work, they have built their kingdom with $n$ towns, numbered from $1$ to $n$. The towns are connected by $n - 1$ ...
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K-In-A-Row Description: Hansel and Gretel do not listen to their teacher at school. Instead they secretly play a game called K-In-A-Row. One day in the evening they started to argue who had won more games that day. They collected all the papers they had used for playing the game and they started to cou...
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K-Inversions Description: You are given a string $s$ consisting only of upper case letters A and B. For an integer $k$, a pair of indices $i$ and $j$ ($1 \le i<j \le n$) is called a $k$-inversion if and only if $s[i] = \textbf{B}$, $s[j] = \textbf{A}$ and $j-i = k$. Consider the string...
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K-Rotating Description: A new school year has started. The high school for gifted students of Ho Chi Minh city has $N$ classes numbered from $1$ to $N$. All $N$ classes will go through $M$ studying weeks. The high school has $N$ teachers numbered from $1$ to $N$. At the beginning teacher $i$ is...
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K-Walks Description: It is the final team contest. After some persuasion from his fellow problem setters, Lord Pooty decided to make an easy problem. Today, he was thinking about shortest path problems. It is a classic problem with many variants. Today, he decided to ask you on one interesting variant ...
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KALLAX Construction Description: You are the owner of IKEA, and you need to order a large number of bolts $B$. There is a single bolt manufacturer, but there are multiple companies reselling these bolts in packs (e.g. boxes, pallets). These companies form a directed chain, where each company buys packs...
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KATT:s and rats Description: A special type of mutated giant rats have taken over the sewers of Gothenburg, and the city management has asked for your help in solving the problem. The sewer consists of $N$ manholes numbered from $1$ to $N$, with $N-1$ pipes connecting the manholes. Each pipe connects ...
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Kabobs Description: Anna wants to open a marvelous restaurant, “Candy Mountain”, serving only candy kabobs: sticks on which one puts various pieces of food, to be eaten from the tip to the base. Like other kabob enthusiasts, when Anna eats a pattern of consecutive types of food in a kabob, she expects...
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Kaboom Description: Luka found an interesting tape in the chem lab. The tape is divided into $N$ segments of equal length, and can easily be bent between two segments, but only by exactly $180$ degrees. One side of the tape is completely covered with a very volatile chemical. If the chemical comes...
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Kaffiskömmtun Description: One of the most important resources to a university is coffee. It is of the utmost importance that this resource is utilized to its maximum potential. To this end, coffee has to be prepared regularly. This preparation has to be timed correctly, since computer science profess...
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Kafkaesque Description: Getting a business permit in Kafkatown requires a trip to City Hall. There you are given a permit form that must be signed by $K$ city clerks whose names are printed at the bottom of the form. Entering the clerks’ room, you find a long line of people working their way down a na...
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Kaguya Wa Saketakunai Description: The Shinomiya corporation is Japan’s biggest family-owned conglomerate, with a portfolio of multiple businesses in railway, trade and retail. With a family of such high esteem, it is important to maintain their status and image, paramount to stereotypical Asian cultur...
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Kaleidoscopic Palindromes Description: Nicholas Neverson was a student at Northlings Neverland Academy. As with any daydreaming student, Nicholas was playing around with a Kaleidoscope one day instead of paying attention to the teacher. Since this was math class, his daydreams quickly turned to palindr...
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Kamioni Description: We are observing the movement of $N$ trucks on the road. The road can be represented as a number line. The points on the line denoting cities are integers. The cities are denoted with the number of the corresponding point on the line. All trucks are moving with the same speed and ...
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Kamp Description: In a certain flooded village, a secret superhuman humanitarian camp is being opened as we speak. The village consists of $N$ houses marked with integers from $1$ to $N$. The houses are connected to each other with $N-1$ roads so that there is a unique way between each two houses. ...
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Kanna's Friendship Description: Kanna is new to the human world and has recently made new friends due to her kind and personable nature. Possessing a sharp mind and an insatiable curiousity towards learning about the human world, Kanna is always keen to try new things. One day, while playing with her b...
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Karel the Robot Description: Did you know that the word “robot” is almost $100$ years old? It was first introduced in $1920$, in the science-fiction theatrical play R.U.R., written by Karel Čapek. As a tribute to this Czech writer, an educational programming language was named Karel many years later at...
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Karl Coder Description: Karl is an aspiring C programmer, and is excited by the risks and rewards of low-level manual memory management. In the program he currently develops, he stores a string containing $N$ non-zero bytes into a buffer named “buf”. By mistake he accidentally made the buffer $2 ...
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Karte Description: Recently, Pero has been into robotics, so he decided to make a robot that checks whether a deck of poker cards is complete. He’s already done a fair share of work—he wrote a programme that recognizes the suits of the cards. For simplicity’s sake, we can assume that all cards have a ...
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Kastenlauf Description: Once every year, Jo and his friends want to visit the local fair in Erlangen, called Bergkirchweih. This year, they want to make a Kastenlauf (box run). They start at Jo’s home, and have one box (Kasten) of beer (with twenty bottles). As they are very thirsty, they drink one bot...
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Kattis Description: Kattis is tired of your shit. Every day, she has to compile your shit code (that probably won’t even compile...), run it on some test data, and then validate your shit answers (assuming your code will actually finish in time – as if!). But no more. The world had for a long time been...
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Kattis Speedrun Description: Joshua’s New Year’s resolution for 2024 was to solve half of all problems on the Kattis platform before the year ends. As the year draws to a close, he realizes he’ll need to use every strategy he knows to reach his goal. So far, he has only solved others’ problems on Katti...
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Kattis' Little Helpers Description: But help is on its way! Kattis has recently acquired a number of programmable catbots, which she can send off on all these errands instead of going herself. Each catbot is equipped with a top-of-the-line MeowFi antenna, with which it can instantly transfer any materi...
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Kattis's Quest Description: Kattis the Cat enjoys clearing quests on her mobile game. Each quest has an energy consumption $E$, and gold reward $G$. However, as Kattis has become very busy lately with grading her student’s problem sets, she does not have much spare time as before to keep clearing quest...
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Kayaking Trip Description: The kayaks are of different types and have different amounts of packing, so some are more easily paddled than others. This is captured by a speed factor $c$ that you have already figured out for each kayak. The final speed $v$ of a kayak, however, is also determined by the st...
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Kebab Pizza Description: Alice loves pizza and plans to throw a pizza party for her birthday, where she will make one big, round pizza for all her guests. She knows that her friends are a bit special when it comes to pizza: Julie does not want any vegetables but loves kebab meat on her pizza. Katy woul...
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Keep Calm And Carry Off Description: A few weeks ago, she also learnt a simpler method of addition. In this method, you repeatedly add $1$ to one of the numbers and subtract $1$ from the other, until the second one reaches zero. This can of course take a lot of time for large numbers. Petra now wants ...
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Keep Him Inside Description: As a result of a long-standing war between the Sorcerers and the Orcs, you have been assigned as officer of one of the prison blocks. Recently the leader of the Orcs has been captured and placed inside a special cell. It works as follows: the cell is a convex polygon with a...
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Keep It Sorted Description: Gon has a permutation $a = (a_1, a_2, \ldots , a_ n)$ of integers between $1$ and $n$ (inclusive), and wants to sort it in increasing order. However, sorting is trivial — anyone can sort an array! Thus, Gon decides to only use the following operation to sort: * Select ...
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Keep Them Separated Description: Team Socket was defeated by Bash — the Pokenom trainer — and Bash’s best Pokenom Chikapu for the $10^9 + 7$-th time. Team Socket realized that Bash and Chikapu were simply too strong together. Now team Socket is devising an evil plan to keep Bash and Chikapu separated! ...
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Keep it Cool Description: You can only refill the fridge from the front, so in an ideal world, you would first take out all the sodas currently in the fridge, then put in the $n$ new ones, and then put the old and cold sodas in front of the new ones. But in an ideal world you would also not have two ex...
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Keep the Parade Safe Description: The 1941 October Revolution Parade of November $7^{th}$, 1941, taking place in Moscow, Soviet Union, was a parade in honor of the October Revolution 24 years ealier. It was one of the most memorable parade because of the serious circumstance at that time: Soviet’s ...
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Keeping On Track Description: Acmar and Ibmar are at war! You are in charge of a rail network that transports important supplies throughout the great state of Acmar during this delicate time. The rail system is made up of a set of rail lines which meet at various junction points. While there is no limi...
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Keeping the Dogs Apart Description: Shadow and Lydia have a particular walk they each prefer and know by heart. If you just let them out, they will follow their favorite walk, eventually ending up in their respective doghouses. Problem solved! Sadly, you realize that if you just let both dogs out at the ...
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Kemija Description: Instead of paying attention in class, Luka is killing time playing with numbers again. This time, he wrote $N$ non-negative integers so that they form a ring (circle). After that he formed a new ring by adding to each number its two neighbours. The teacher noticed this and took away th...
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Kemija Description: Luka is fooling around in chemistry class again! Instead of balancing equations he is writing coded sentences on a piece of paper. Luka modifies every word in a sentence by adding, after each vowel (letters ’a’, ’e’, ’i’, ’o’ and ’u’), the letter ’p’ and then that same vowel again. ...
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KenKen You Do It? Description: KenKen is a popular logic puzzle developed in Japan in 2004. It consists of an $n \times n$ grid divided up into various non-overlapping sections, where each section is labeled with an integer target value and an arithmetic operator. The object is to fill in the entir...
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Ketek Counting Description: Define a Ketek to be a sentence that reads the same forwards and backwards, by word. For example, ‘fall leaves after leaves fall’ is a Ketek since the words in reverse order are the same as the original order. Given a string consisting of lower-case letters and the characte...
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Key Item Recovery Description: Pichuu, the Pokemon Master, faced a dilemma after destroying Team Galactic, becoming the champion and catching every legendary Pokemon. He realized he had lost his town map, a precious item given to him by his mother and also a Key Item! To avoid her scolding, Pichuu deci...
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Key to Knowledge Description: A while ago a class of students took an exam. It consisted of true-or-false questions only, but the questions were really tough! Even afterward, with the help of the book, lecture notes and each other, the students are not sure what all the correct answers were. They could...
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Keyboard Queries Description: Katrín and her friends are university students, and they go to a seminar every week. At the start of each seminar, the professor divides the students into groups randomly. Katrín and her friends dislike random groups, they want to form a group together so they can chat wit...
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Keyboardd Description: This could not have happened at a more inconvenient time; it is the start of the contest and she was just about to type in the solution to the first problem! Joanna does not have time to remove and clean every key on her keyboard, so she wonders if there is a way to quickly ident...
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Keyboarding Description: How many keystrokes are necessary to type a text message? You may think that it is equal to the number of characters in the text, but this is correct only if one keystroke generates one character. With pocket-size devices, the possibilities for typing text are often limited. So...
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Keyboards in Concert Description: Olav has some electronic keyboards and would like to play a tune. Unfortunately all of Olav’s keyboards are broken so each of them can only play some of the notes. By switching which instrument he is using he will be able to play the whole tune, but moving keyboards ar...
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Keylogger Description: Thore likes mechanical keyboards. He uses a highly customised design, where every key has been carefully selected for resistance, actuation point, tactile feedback, travel distance, and clickiness. He finds the sound of the mechanical keys very satisfying. Your office is next to ...
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Keys Description: Adam carries a bunch of keys attached to key rings, some of which may be connected to each other. The rings are common key rings, so a key can be attached to or detached from a ring by sliding along the spiral. In the same way, two rings can be connected or disconnected. Adam wants to...
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Keys, Phone, Wallet Description: Oh no, you slept in and have to rush to get to work on time! It is also very cold outside! In your rush to put on Winter gear and leave home quickly, you wonder if you forgot your keys, phone, or wallet. You had better check. ## Input The first line of input contains a s...
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Keywords Description: Catherine is a brilliant software engineer, but she has been having difficulty landing a job, despite having submitted a superb resume to dozens of tech companies. After doing some research, she discovered that most tech companies in her area use an algorithm to prescreen resumes ...
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Kiki Boba Description: “Kiki” and “boba” form a fascinating sound-symbolic connection, where people spontaneously associate sharp sounds like “kiki” with jagged shapes and softer sounds like “boba” with rounder shapes. This reveals an underlying link between sounds and visual properties, providing ...
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Killing Aliens in a Borg Maze Description: The Borg is an immensely powerful race of enhanced humanoids from the delta quadrant of the galaxy. The Borg collective is the term used to describe the group consciousness of the Borg civilization. Each Borg individual is linked to the collective by a sophist...
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Killing Chaos Description: In the dangerous wild west, robbers are attacking a long train with many coaches. Chaos erupts, and the robbers realize that the amount of chaos equals the number of passengers in the train, rounded up to the nearest multiple of $10$. In order to quench the chaos, they theref...
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Kinda Ok Array Problem Description: This is an array problem. You are given an array $A$ that contains $N$ numbers, $A_1, \dots , A_ N$. Count the number of distinct subarrays of $A$ where the sum of the elements in the subarray is even. Note that an subarray is a contiguous part of an array (E.g. $[2, 3...
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Kindergarten Description: Every year the three friendly teachers at the kindergarten let their classes’ kids change classes to form three new ones. Some kids, of course, are old enough to leave, but those who stay for another year are rearranged among the three teachers. The teachers even let the kids...
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Kindergarten Description: You know the kids in your group very well. Each kid is jealous of one other kid, who is cooler than them, and they might misbehave in the telescope room if they know the kid they’re jealous of will be there at some point after them—not necessarily immediately after them, just ...
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Kindergarten Excursion Description: The kindergarten teachers had finally managed to get all the kids in a line for the walk to the bus station and the weekly excursion. What they hadn’t thought of was the fact that today different kids were supposed to go to different excursions. They should walk as o...
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King of Spades Description: “King of Spades” is a two-player card game which is played with an unconventionally large deck composed of standard playing cards. The game is set up by splitting the deck into two arbitrary piles, and then the cards from each pile are laid face-up in a line. A player’s tur...
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King of the Waves Description: You are organising a king of the hill tournament, the Buenos Aires Paddleboarding Competition (BAPC), with $n$ participants. In a king of the hill tournament, one person starts as a “king” and is then challenged by another person, the winning person becomes the new king. ...
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King's Colors Description: The flag will of course consist of the King’s favorite tree, which contains $n$ nodes. The King would be happy to just have the tree colored in black and white, but for the sake of his wife the Queen, he decided that the tree will contain all the favorite colors of their ...
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King's Decree Description: The Cat Kingdom is a very large kingdom, with $n$ cats living in it. The cats are numbered from $1$ to $n$. King SoCCat has noticed a glaring problem in the kingdom — the uneven distribution of wealth among the cats. To solve this problem, King SoCCat has decreed that wealth...
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Kingdom of Ants Description: The Chimera Ants are building their own kingdom! There are $n$ ants numbered from $1$ to $n$. Each ant is responsible for kingdom construction in a rectangular region. More precisely, the $i$-th ant is assigned a rectangular region in Cartesian plane, with edges pa...
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Kingdom of Cats Description: You probably still remember the problem Kingdom of Kittens from The $2\, 018$ ICPC Asia Hanoi Regional Contest. It has been two years since then, the kingdom has since evolved into Kingdom of Cats, with even more challenging problems. As their kingdom grows, the cats need to s...
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Kingdom of Hamsters Description: Near the great desert of Byteland lies a technologically advanced kingdom of hamsters. In the year 2020, to protect better their territories, the hamsters have decided to build a great wall surrounding crucial parts of their kingdom. The kingdom of hamsters is represented ...
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Kingdom of Kittens Description: In a country far far away, there are so many cats. The cats quickly dominate the whole area, they can even overwhelm humans! Mature cats plan to establish their own kingdom for their own kittens! The first thing to do is setting the border of their kingdom. One day, the...
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Kingdoms Description: Several kingdoms got into serious financial troubles. For many years, they have been secretly borrowing more and more money from each other. Now, with their liabilities exposed, the crash is inevitable… There are $n$ kingdoms. For each pair $(A, B)$ of kingdoms, the amount of...
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Kingpin Escape Description: You are the kingpin of a large network of criminal hackers. Legend has it there has never been a richer criminal than you. Not just because you are the smartest, but also because you are the stingiest. The police have been after you for years, but they have never been able ...
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Kinking Cables Description: You need to lay a cable to connect two computers with each other. This cable however has a very specific length and you need to use exactly the full length of the cable. Moreover, the cable cannot intersect itself and one part of the cable cannot be too close to another part...
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Kinky Word Search Description: You’re probably familiar with regular word searches, where you’re presented with a grid of letters and a word to find. The word can be in a straight line horizontally, vertically, or diagonally (and perhaps backwards in any of those directions). For example, here is a gri...
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Kitchen Combinatorics Description: Each potential dish has a list of ingredients. Each ingredient is in turn available from a few different brands. Each brand is of course unique in its own special way, so using a particular brand of an ingredient will always result in a completely different dinner exp...
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Kitchen Measurements Description: You are making a recipe and need to measure a precise volume of liquid. There are an assortment of cups of varying volumes in your kitchen, however no cup has any markings on it other than to indicate its total volume, and none of them match the volume that you want. Y...
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Kitesurfing Description: Nora the kitesurfer is taking part in a race across the Frisian islands, a very long and thin archipelago in the north of the Netherlands. The race takes place on the water and follows a straight line from start to finish. Any islands on the route must be jumped over – it is no...
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Kitten of Chaos Description: Now, Klaus’ paw slowly executes his diabolical deed. His cute fluffy face radiates inadvertent innocence. Knowing that any intervention would only delay the inevitable, Karen wonders what will happen to the string her sister Kim wrote on the precious glass object. After all...
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Kitten on a Tree Description: ## Input The input is a description of a single tree. The first line contains an integer $K$, denoting the branch on which the kitten got stuck. The next lines each contain two or more integers $a, b_1, b_2, \ldots $. Each such line denotes a branching: the kitten can rea...
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Kiwi Trees Description: You are about to plant a pair of fine kiwi trees inside your big property. You are worried that tree branches would grow beyond the boundaries of your property, making your neighbours complain. You must also avoid planting the two trees too close to each other so that the branch...
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Kjördæmi Königsbergs Description: Königsberg, now known as Kaliningrad, is a city well known for its bridges. Now bridges are to be built between the districts of the city to ensure travels around the city are possible. Each bridge connects two districts of the city. Building the bridges can be expensive ...
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Kleptocrat Description: Your company has a policy that every employee should be refunded an amount of money proportional to the shortest distance between their home and office. This causes the loophole that many employees intentionally move very far away to claim the maximum possible reimbursement. On...
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Kleptography Description: John likes simple ciphers. He had been using the “Caesar” cipher to encrypt his diary until recently, when he learned a hard lesson about its strength by catching his sister Mary browsing through the diary without any problems. Rapidly searching for an alternative, John found a s...
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Kletva Description: As punishment for destroying half of his city with his monster truck, Mirko now has to pay off his dept to society. He works as an assistant for a famous archaeologist. One of his duties include crafting keys for ancient document boxes. In ancient times document boxes were locked using...
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Klompendans Description: In traditional Dutch clog dancing, you as the dancer need to follow a very specific sequence of movements. The dance takes place on a square grid of square tiles, and at the start of the dance you stand on the top left corner tile of the grid. You then alternate between two typ...
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Klósettröð Description: ## Input The input consists of two lines. The first line contains a single integer $1 \le n \le 1\, 000$. The second line contains $n$ integers $1 \le a_i \le n$. It will hold for all $i \neq j$ that $a_i \neq a_j$. Worded differently, the values are unique. ## Output Pri...
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Knapsack Description: Implement a solution to the classic knapsack problem. You are given a knapsack that can hold up to a certain weight (its capacity), and several items you may choose to put in the knapsack. Each item has a weight and a value. Choose a subset of the items (which could be all of them...
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Knapsack 101 Description: Everyone knows that the knapsack problem is NP-hard. That is, everyone except for you! You are not convinced; after all, you know that P = NP! Your friend, determined you are wrong, challenges you to solve the following variant of the knapsack problem. There are $2n$ items, ...
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Knapsack Collection Description: The baggage carousel consists of $s$ luggage slots, numbered in ascending order from $0$ to $s-1$. Since the baggage carousel is cyclic, luggage slots $s-1$ and $0$ also lie side by side. The carousel turns in such a way that if Gerald stands in front of slot $i$ at...
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Knapsack Packing Description: One of the most difficult things about going on a holiday is making sure your luggage does not exceed the maximum weight. You, chairman of the Backpacker’s Association for Packing Carry-ons, are faced with exactly this problem. You are going on a lovely holiday with one of...
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Knight Fly Description: You are given a $2\, 000\, 000\, 000$ by $2\, 000\, 000\, 000$ chessboard. The bottom-left most cell has coordinates ($1$, $1$). The board is full of blocked cells, and no chess piece may be placed on those cells. Because there are so many blocked cells on the chessboard...
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Knight Jump Description: You are given a two dimensional chess board of size $N \times N$ ($1$-based indexing). Some of the cells on this board are ‘.’ denoting an empty cell. Some of the cells on this board are ‘#’ denoting a blocked cell, which you are not allowed to visit. Exactly one of the cells o...
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Knight Packing Description: On a $N \times N$ chess board, two players alternate placing a knight on the board. A knight can only be placed if there is no other knight which would be either $1$ row and $2$ columns or $2$ rows and $1$ column away from it. The first player who cannot place a knig...
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