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IsItHalloween.com Description: HiQ recently got an assignment from a client to create a clone of the immensely popular website https://IsItHalloween.com. The website is a very simple one. People will visit the site occasionally to see if it is Halloween. Whenever it is, the website should print out yup...
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Island Alliances Description: In a vast ocean there are $n$ islands numbered from $1$ to $n$, where each island constitutes a sovereign state. However, the large number of states is making foreign policy a very complicated matter, so the inhabitants of the islands have decided to simplify things by joinin...
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Island Buses Description: The Island Cargo and Passenger Company is planning to provide bus service for a number of South Pacific island nations. Each nation consists of a collection of islands, some of which are connected by bridges. To save costs, the company wants to use the fewest number of buses p...
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Island Hopping Description: You are a contractor for the small independent nation of Microisles, which is far out in the Pacific ocean, and made up of a large number of islands. The islanders travel between islands on boats, but the government has hired you to design a set of bridges that would connect...
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Island Memories Description: There is an island country that has $n$ islands numbered $1$ to $n$. The islands are connected by $n - 1$ bidirectional drawbridges, such that it is possible travel from each island to every other island. Every drawbridge can be lifted to provide clearance for boat traffic....
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Island Tour Description: Unfortunately, current distancing measures only allow one visitor at a time at any given attraction, so they have decided to split up. Each person will start at a different attraction, visiting the remaining attractions in circular order around the Ring Road, i.e. a person star...
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Islands Description: Weenesia is an archipelago of perfectly circular islands in the 2D plane. Many islands have palm trees growing in them, perfectly straight up, so we can represent a tree by a 2D point and a height. We want to build a courier system in the islands, i.e., we want to be able to move ...
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Islands Description: You are mapping a faraway planet using a satellite. The planet’s surface can be modeled as a grid. The satellite has captured an image of the surface. Each grid square is either land (denoted as ‘L’), water (denoted as ‘W’), or covered by clouds (denoted as ‘C’). Clouds mean th...
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Islands from the Sky Description: You might never have heard of the island group of Iceepeecee, but that suits their inhabitants just fine. Located in a remote part of the South Pacific, they are truly off the beaten track, without any regular air or sea traffic, and they have remained a tropical parad...
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Islands in the Data Stream Description: Given a sequence of integers $a_1, a_2, a_3, \ldots , a_ n$, an island in the sequence is a contiguous subsequence for which each element is greater than the elements immediately before and after the subsequence. In the examples below, each island in the sequence...
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Isolated Island Description: On a small island far far away, a handful of old men live isolated from the rest of the world. The entire island is divided into plots of land by fences, and each old man owns a single plot of land bounded by fences on all sides. (The region outside all fences is the ocean....
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Isomorphic Inversion Description: Let $s$ be a given string of up to $10^6$ digits. Find the maximal $k$ for which it is possible to partition $s$ into $k$ consecutive contiguous substrings, such that the $k$ parts form a palindrome. More precisely, we say that strings $s_0, s_1, \dots , s_{k-1...
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Ispiti Description: It’s exam time in Mirko’s village. Everyone wants to pass the exam with as little effort as possible, which is not easy. Mirko realized that it would be best for him to find someone who knows more than him and learn from them. Everyone followed and now everyone is looking for someon...
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It Can Be Arranged Description: Every year, several universities arrange inter-university national programming contests. ACM ICPC Dhaka site regional competition is held every year in Dhaka and one or two teams are chosen for ACM ICPC World Finals. By observing these, MMR (Mission Maker Rahman) has made a...
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It's About Time Description: Greg Orian works for the Temporal Innovations for Multiple Earths (TIME) program. One of his main jobs is determining yearly calendars for the numerous human colonies on various planets (did we mention this problem takes place in $2123$?). One issue when creating calend...
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It's Hip to Be Square Description: Suppose we have a certain number of red square tiles, all of size $1 \times 1,$ that we would like to place, without overlapping, to form the largest two-dimensional square possible, such that the only gap is a single $1 \times 1$ square left empty in the middle. ...
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It's a Kind of Magic Description: Everyone knows that a $3\times 3$ magic square must meet two criteria: * All nine numbers must be positive and distinct. * The sums along all rows, columns, and diagonals are equal. All nine numbers must be positive and distinct. The sums along all rows, columns, and d...
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It's a Mod, Mod, Mod, Mod World Description: You are given multiple problems with three integers $p$, $q$, and $n$. Find $\sum \limits _{i=1}^ n [(p{\cdot }i) \bmod {q}]$. That is, the first $n$ multiples of $p$, modulo $q$, summed. Note that the overall sum has no modulus. ## Input Each input will begin...
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It's a Secret Description: In junior high, you were fascinated by secret codes. When you discovered the Playfair cipher, you shared the knowledge with a friend, and the two of you started using the cipher in order to pass notes in class without fearing that they would be read if intercepted. Because yo...
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Item Selection Description: You are browsing a website that lists items for sale. The website has a paging UI that displays a fixed number of items per page, one page at a time. For example, if there are $55$ items and the page displays exactly $20$ at a time, then there are $3$ pages in total. It...
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Ivana Description: Even though she saw Zvonko steal Mirko’s microprocessor in the second task, Mirko’s sister Ivana did not tell Mirko because she likes Zvonko. She suggested to him that they go see a movie together so that she would “forget” about the incident. Zvonko does not care much for girls bec...
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Jabuke Description: Ante bought a piece of land. The land contains N apple trees, but his piece is triangular and it is not easy for him to determine which apple trees belong to him. Your program will be given the coordinates of the vertices of the triangle forming Ante’s piece, and the coordinates of ...
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Jabuke Description: It is often heard that the apple doesn’t fall far from the tree. But is that really so? The National Statistics Department has tracked the falling of apples in a fruit garden for $G$ consecutive years. The fruit garden can be represented as a matrix with dimensions $R \times S$. Ea...
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Jack The Lumberjack Description: Jack the Lumberjack used to love chopping down trees. Jack is getting older and is becoming tired of this activity he used to love. He thinks of an idea, ‘The Big One’, and fantasizes about going out into the forest one last time to harvest as many trees as possible. J...
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Jack and Jill Description: Ever since the incident on the hill, Jack and Jill dislike each other and wish to remain as distant as possible. Jack and Jill must attend school each day; Jack attends a boys’ school while Jill attends a girls’ school. Both schools start at the same time. You have been retai...
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Jack and the Beanbag Description: Jack, naïve fellow that he is, has fallen into the clutches of a dastardly and sophisticated multi-level marketing scheme. It all started when a mysterious stranger pushed upon young Jack a bag of ordinary beans, promising that if only he could amass the right quantit...
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Jack-O'-Lantern Juxtaposition Description: Every year, Pumpkin Pete comes up with a couple of different Jack-O’-Lantern ideas for his annual Halloween special. He stacks them up on haystacks for everyone to enjoy and take pictures with. To make sure that there’s a wide variety of displays, he wants to ...
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Jackdaws And Crows Description: A comment chain is alternating if the scores $s_1, s_2, \ldots , s_ n$ of the comments all are non-zero, and every pair of adjacent scores $s_ i$, $s_{i+1}$ have opposite signs. In particular, a single comment with a non-zero score or even a comment chain without any com...
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Jackpot Description: Bill has found the perfect way to make money playing the slot machines. After months of careful research, he has finally figured out the mechanics behind how the machines operate. Now he is ready to make profit of his findings. But first an introduction to the game. A slot machine ...
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Jail or Joyride Description: A group of teenagers has stolen a fast sports car for a Saturday night joyride. The local police department has only one car available to catch the teenagers red handed and put them in a youth detention center. The city consists of a set of junctions and bidirectional road...
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Jailbreak Description: John is on a mission to get two people out of prison. This particular prison is a one-story building. He has managed to get hold of a detailed floor plan, indicating all the walls and doors. He also knows the locations of the two people he needs to set free. The prison guards are...
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Jamboree Description: A group of scouts are preparing to go to a large meeting with other scouts. Their leader Hildeborg, in spirit of the scout motto “be prepared”, wants to distribute some useful items among the scouts that they most probably will need on their adventure. The items come in different ...
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Jane Eyre Description: Anna wants to read the famous book Jane Eyre, but annoyingly its title is somewhat late in the alphabet. This is a problem, since Anna always reads books in alphabetical order; as soon as she finish reading a book, she immediately begins reading the next book in her possession wh...
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Janitor Troubles Description: The maximum quadrilateral problem is quite easy to state: given four side lengths $s_1, s_2, s_3$ and $s_4$, find the maximum area of any quadrilateral that can be constructed using these lengths. A quadrilateral is a polygon with four vertices. ## Input The input consists o...
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Jazz Journey Description: Ivan is planning a large European tour with his jazz band. There are a total of $n$ cities in Europe, numbered with integers $1$ through $n$. Ivan is planning $d$ concerts in cities $a_1, a_2, \dots , a_ d$ in that exact order, never having two consecutive concerts in the same cit...
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Jazz it Up! Description: Along with some friends you formed the Band of Atonal Percussionists and Cellists. You have been playing for some years together, but you feel unsatisfied with the current level of play. Doing research into some interesting new styles, you are gripped by the intricate details o...
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Jaðarjuð Description: For the last few years, the prospect of merging some of the universities of Iceland has been considered. Finally, some actual plans are being drawn about how this could be implemented, but in order to make good plans the organising committee needs some data on how the plans are lo...
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Jealous Youngsters Description: Tom has been studying the behavior of the kids and now understands exactly under what circumstances they start crying. First, a child will cry if they have no toy to play with. Second, even having a toy, a child $A$ will cry if there is some other child $B$ playing with ...
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Jednakost Description: While browsing a math book, Mirko found a strange equation of the form $A=S$. What makes the equation strange is that $A$ and $S$ are not the same. Mirko realized that the left side of the equation should have addition operations between some pairs of digits in $A$. Write a prog...
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Jelly Raid Description: The full-board residents of the famous but misnamed Adephagia School For Boys feel hard done by. Recent savings have seen dinnertime puddings cut back to a single biscuit while the masters finish their meals with fine raspberry jelly every night. Although the choice of custard c...
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Jeopardised Journey Description: Little Red Riding Hood’s1 grandmother’s hut is already quite old. It needs to be torn down and will be replaced with a new hut. Naturally, she wants the hut to be as safe as possible – nothing could be worse than Little Red Riding Hood being eaten by the big bad wolf. ...
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Jet Lag Description: The ICPC World Finals are here and they are packed full of activities you want to attend — speeches, presentations, fun events, not to mention the contest itself. There is only one problem: when are you going to sleep? When you fall asleep, you always set a timer because otherwise...
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Jet Set Description: Your wealthy friends love to brag about all their travelling. Every time you see them, they have visited some new exotic place you have never heard of. All of them are all too happy to tell you they have been all around the world—but you’re not so sure about that. Have these jetset...
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Jetpack Description: Little Mirko got a new mobile phone for his birthday! As all kids nowadays, he quickly downloaded all of the popular mobile games, including Jetpack Joyride. In the game, the protagonist Barry is running across a field consisting of $10$ rows and $N$ columns of squares of equa...
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Jewel Heist Description: Arsen Lupin, the master thief, aims to steal Evil Erwin’s jewels. Erwin has n jewels on display in his store. Every precious stone is of one of $k$ distinct colors. The exposition is so large that we can treat it as the Euclidean plane with the jewels being distinct points. The...
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Jewel Thief Description: The grand museum has just announced a large exhibit on jewelry from around the world. In the hopes of his potential future prosperity, the world-renowned thief and master criminal Edward Terrenando has decided to attempt the magnum opus of his career in thievery. Edward is hop...
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Jewelry Box Description: Vy is obsessed with all the little pieces of jewelry and she has collected so many of them. During her recent holiday trip, she bought even more items so she needs a new jewelry box now. She decided that she would make it on her own. She bought a paperboard with very cute decorati...
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Jez Description: Luka found a very unusual game board in his attic. Surprisingly, it consists of $R \cdot C$ square cells. The rows are numbered $0$ to $R-1$ top to bottom and the columns $0$ to $C-1$ left to right. What makes the board unusual is the way in which the cells are coloured. Each cell...
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JezzBall Description: “JezzBall is a computer game in which red-and-white ’atoms’ bounce about a rectangular field of play. The player advances to later levels (with correspondingly higher numbers of atoms and lives) by containing the atoms in progressively smaller spaces, until at least $75\% $ of...
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Jib Job Description: After last year’s success of building an infinite wall, Bob was hired for a new job. His first task is to set up multiple cranes on a new construction site. Each crane consists of a central tower with a horizontal beam (the jib) attached to the top that can freely rotate around th...
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Jigsaw Description: You have found an old jigsaw puzzle in the attic of your house, left behind by the previous occupants. Because you like puzzles, you decide to put this one together. But before you start, you want to know whether this puzzle was left behind for a reason. Maybe it is incomplete? Mayb...
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Jigsaw Present Description: James is already very excited and would like to know in advance what he will get. Therefore, he used some of his criminal energy to gather information about the gift. In particular, he has managed to obtain an encrypted message containing the total difficulty and total numbe...
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Jinxed Betting Description: Julia is betting on a large sporting competition involving matches between pairs of teams. There are no parallel matches and each bettor receives one point for every correct bet they make. Julia had a good streak and is in the lead. Now she worries that her good luck may be ...
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Job DNA Description: For hundreds of years, people have been dissatisfied with their jobs. Maybe they are too boring, too difficult or simply not right for some reason. After much research, JobAgent has successfully modeled how good you are at a job using a circular string of length $N$, your so-ca...
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Job Expenses Description: At ACME Corp, the seller Robin is selling software like hotcakes. To sell the software, he arranges meetings all over the country. Of course, he always needs to travel there, and sometimes even stay the night. Other times, he decides that a hot dog on the way to a meeting coun...
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Job Postings Description: Your university has jobs available for students, and the administration needs for you to help them assign students to jobs. The goal is to have students select their desired positions, and then allocate each student to one of the positions so that the maximum satisfaction is a...
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Job Switching Description: You and your friends all work at different companies. However, not everyone may be satisfied with their current job. You therefore asked JobAgent to find out if there’s a job that fits you even better. After some computation, JobAgent came back with a list for which job is th...
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Jobs Description: You have a successful business where you make money by completing jobs for your clients. Currently, you can choose from $N$ one-time jobs, numbered from $1$ to $N$. Completing job $i$ will make you a profit of $x_ i$ euros. The profit may also be negative ($x_ i < 0$). Some ...
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Joe is learning to speak Description: Joe is a 4-year-old child learning to speak his mother tongue. He tried to memorize every possible sentence in the language but he soon realized that the number of different sentences is unbounded. He decided to concentrate on memorizing the subsequences of size up...
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Jogging Tour Description: You may know that in the 17th century, a group of Dutchmen founded a settlement called New Amsterdam on Manhattan Island that later went on to become New York City. Less well-known is the story of another group of Dutchmen that also moved over to America and founded a city cal...
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Jogging Trails Description: Gord is training for a marathon. Behind his house is a park with a large network of jogging trails connecting water stations. Gord wants to find the shortest jogging route that travels along every trail at least once. ## Input Input consists of several test cases. The first li...
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Jogurt Description: A complete binary tree is made of nodes arranged in a hierarchic structure. One of the nodes is the root node, said to be at level 0. The root node has two child nodes, which are at level 1. Each of those has two children at level 2 etc. In general, a complete binary tree with $N$ leve...
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John Dillermand Description: For most episodes, this task has been adequately performed by training your university’s machine-learned information curation algorithms to remove red and white pixels from individual frames. However, the Christmas episode S1E11, John redder julen, needs more attention. Man...
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John's Book Stack Description: John has a big stack of books of various sizes. Such a stack is stable if the books have non-decreasing sizes (viewed from top to bottom); otherwise, it is unstable, and likely to fall over. To prevent this, John wants to sort the books in the stack by size. He does so b...
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Johnny Applesack Description: Johnny Applesack has grown his seeds into trees and harvested all the apples. He has a huge pile of $N$ apples next to him, a sack that can hold $K$ apples at a time, and an infinitely long, straight road in front of him. At each kilometer mark of the road there is a toll ...
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Johnny5 and the Exploding Oil Cans Description: In the hit video game “Johnny5 and the Exploding Oil Cans”, you control the robot “Johnny5”. The robot can be moved one cell at a time in one of the directions up, down, left, or right on an $N \times N$ grid. One move takes one second and costs one unit ...
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Join Strings Description: You are given a collection of $N$ non-empty strings, denoted by $S_1, S_2, \ldots , S_ n$. Then you are given $N$-$1$ operations which you execute in the order they are given. The $i^{th}$ operation is has the following format: ‘$a$ $b$’ ($1$-based indexing, without the qu...
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Joining Flows Description: The heart of the factory is the Chocolate River, where raw molten chocolate flows from $k$ chocolate-producing faucets, to outlets where different types of pralines and choclate bars are made. The $i$’th of the $k$ chocolate faucets produces chocolate at some fixed temper...
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Joining Networks Description: A network of size $N$ contains $N$ computers connected by $N-1$ cables, so that there is exactly $1$ path between any pair of computers. The transmission cost between $2$ computers is equal to the square of the number of cables on the path connecting the $2$ computers...
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Joining Points Description: You have $N$ points on a Cartesian coordinate plane. The $i$-th point is located at $(X_ i, Y_ i)$, where $X_ i$ and $Y_ i$ are integers. As a competitive programmer, you hate non-rectilinear geometrical objects. Therefore, you wish to connect all the points such that t...
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Joint Attack Description: General Torstein has sent the $x$-coordinate for the next joint attack and is expecting you to promptly follow his orders in order to avoid impeding doom. Unfortunately Torstein hates numbers with more than 2 digits and loves horizontal line segments, and has therefore sent th...
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Joint Excavation Description: As an initial quick demonstration, mother mole is going to start by digging out a few of the chambers and tunnels, in the form of a non-self-intersecting path in the planned tunnel network. She will then divide the remaining chambers between the two mole kids, making sure ...
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Joint Jog Jam Description: Like so many good stories, this one begins with a claim that Kari is a faster runner than Ola, who of course challenges Kari to a run-down. Dubbed (rather ironically) Non-Competitive Pace Challenge, they want to see who can run the furthest in a certain amount of time $t$. Cl...
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Jolly Jumpers Description: A sequence of $n > 0$ integers is called a jolly jumper if the absolute values of the difference between successive elements take on all the values $1$ through $n-1$. For instance, ``` 1 4 2 3 ``` is a jolly jumper, because the absolutes differences are $3$, $2$, and $1...
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Journal Editing Description: David is writing an article for the Bulletin of the Association of Proof Completions. In his article, he proves several theorems. For every theorem, David came up with a proof. Since David is a very eager student, he even came up with multiple proofs for some of the theorem...
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Journey of the Repetitor Description: After watching the novel “Around the World in Eighty Days”, Alice becomes enthusiastic in travelling abroad. However, due to the lack of flights during the COVID-19 pandemic, Alice decides to travel around the world on foot! However, Alice is suffering from decidophob...
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Joyless Game Description: Playing games is the best way to improve flexibility, critical thinking and strategy. To become the best Pokenom player, Bash is playing some games with his Pokenom Chikapu. * Bash writes down a string $S$ containing only lowercase English letters. No $2$ consecutive charact...
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Judging Moose Description: The point system works like this: If the number of tines on the left side and the right side match, the moose is said to have the even sum of the number of points. So, “an even $6$-point moose”, would have three tines on each side. If the moose has a different number of t...
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Judging Troubles Description: ## Input The input consists of: * one line with one integer $n$ ($1\leq n \leq 10^5$), the number of submissions; * $n$ lines, each with a result of the judging by DOMjudge, in arbitrary order; * $n$ lines, each with a result of the judging by Kattis, i...
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Judo Championship Description: There are $n$ judokas participating in the judo championship. Each judoka is assigned a unique number from $1$ to $n$. There are currently $m$ scheduled matches. The $i$-th match is between judokas $u_ i$ and $v_ i$. A judoka $s$ will say that they are st...
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Jug Hard Description: You have two empty jugs and tap that may be used to fill a jug. When filling a jug from the tap, you can only fill it completely (i.e., you cannot partially fill it to a desired level, since there are no volume measurements on the jug). You may empty either jug at any point. You may...
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Juggler Description: As part of my magical juggling act, I am currently juggling a number of objects in a circular path with one hand. However, as my rather elaborate act ends, I wish to drop all of the objects in a specific order, in a minimal amount of time. On each move, I can either rotate all of t...
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Juggling Description: Ada the bartender wants to enhance her already impressive range of showmanship by incorporating juggling into her act. The first thing to learn is the siteswap notation for juggling patterns, also known as Cambridge notation. The notation describes juggling patterns in which ball...
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Juggling Patterns Description: Juggling patterns are notated by a system called siteswap. Siteswap patterns look like strings of digits, like this: ‘$3$’, ‘$441$’, ‘$345$’, etc. Each number represents the time duration of a throw (how long it is in the air). For example, a $5$ throw is higher than ...
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Juggling Sequence Description: The Juggling Sequence is an integer sequence with $n$ elements, defined as follow: * $a_1 = 1$, * For every $i \geq 1$: If $a_ i \leq i$, then $a_{i+1} = a_ i + i$, If $a_ i > i$, then $a_{i+1} = a_ i - i$. * If $a_ i...
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Juggling Troupe Description: At the national centre for computing and advanced circus skills, technical demonstrations by students are strongly encouraged. A troupe of $n$ novice performers are at this very moment arrayed in a row attempting to put on a juggling show. Unfortunately, none of them are v...
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Juice Description: In the Favela of Rio de Janeiro there was a flicker of light. After months of careful building, they finally connected the generator to the thousands of extension cords and the slum was illuminated by millions of bright lights However, the capacity of the extension cords was not enough ...
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Juice Description: You are holding a party. In preparation, you are making a drink by mixing together three different types of fruit juice: Apple, Banana, and Carrot. Let’s name the juices A, B and C. You want to decide what fraction of the drink should be made from each type of juice, in such a way t...
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Julmust Description: Maj is a creature of habit. She consumes exactly the same number of bottles of julmust every day from the 1st of October until Christmas Eve (the 24th of December). The number of bottles per day is a positive integer $r$, where $0 < r \leq R$. You need to determine the total number of...
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Jumbled Communication Description: Luckily, the document also describes how the sensor scrambles its communication. The document states that the sensor applies the expression x ^ (x << 1) to every byte sent. The ^ operator is bit-wise XOR1, e.g., $\verb|10110000 ^ 01100100| = \verb|11010100|$. The ...
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Jumbled Compass Description: The compass gives the current direction the phone is pointing and Jonas’ task is to animate the needle taking the shortest path from the current needle direction to the correct direction. Many ifs, moduli, and even an arctan later, he is still not convinced his minimumD...
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Jumbled Journey Description: Together with some friends you are planning a holiday to the Beautiful Authentic Parks Centre. While there, you want to visit the parks as much as you can. As part of the preparation you, together with your best friend, decided to make an extensive map of the parks, the roa...
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Jumbled String Description: Jingfei wants to create a nonempty bit string that has the following properties: * the subsequence 00 occurs $a$ times, * the subsequence 01 occurs $b$ times, * the subsequence 10 occurs $c$ times, and * the subsequence 11 occurs $d$ times. the subse...
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Jumbo Javelin Description: Jessica wants to become a javelin thrower, moreover she wants to become a famous one. However, she doesn’t want to train $40$ hours a day. To avoid much training while still becoming famous, she has concocted a plan: make all her javelins gigantic. As a software developer by...
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Jumper Description: You lost your favourite jumper during last night’s pub crawl with your fifteen friends. You remember very little, but thanks to some selfies on your phone you have been able to identify a pub $p$ where you already lost the jumper. Moreover, from another selfie’s timestamp it is ...
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Jumping Choreography Description: As you may know, the frogs are the biggest show-offs of the entire animal kingdom. Some weeks ago, they greatly impressed the other animals by forming a large tower. However, the frog king wants to surpass this performance at the next Benelux Amphibian Pillaring Ceremo...
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Jumping Monkey Description: You are a hunter chasing a monkey in the forest, trying to shoot it down with your all-powerful automatic machine gun. The monkey is hiding somewhere behind the branches of one of the trees, out of your sight. You can aim at one of the trees and shoot; your bullets are capab...
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Jumping Yoshi Description: Yoshi is a frog. He lives in the ZOO under a log which was specially transported there from a distant equatorial rainforest. The log is big and wet and attracts the flies and that is what makes Yoshi satisfied. There is also a line of pebbles which runs through the wetland i...
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Jungle Game Description: Denise is designing a rainforest themed board game. The goal of the game is for each player to form a team of two characters and complete various challenges. There are $N$ different characters numbered from $1$ to $N$. Each character $i$ has two attributes $p_i$ and $s_i$ (problem...
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Junk Journey Description: You are MALL-E, the mall scooter scooper robot. Your job is to fetch all the misplaced mall scooters at the end of the day and return them to the scooter depot. The mall is an infinite grid, containing $n$ scooters that need to be returned. You can move in one of four dire...
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