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Solve the programming task below in a Python markdown code block. View Russian Translation In this problem the goal is to implement a program managing an elevator designed especially for mathematicians. The elevator can go to any of N floors numbered from 1 to N and it can carry an arbitrary number of people at one ...
Solve the programming task below in a Python markdown code block. Nandu is stuck in a maze consisting of N rooms. Each room with room number x has a door leading into room number 2x (if 2x ≤ N) and another door leading into room number 2x+1 (if 2x+1 ≤ N). All these doors are 2-way doors ie. they can be opened from bot...
Solve the programming task below in a Python markdown code block. Shantam is very rich , even richer than Richie Rich. He is extremely talented in almost everything except one , mathematics. So one day, he pays a visit to a temple (to pray for his upcoming mathematics exams) and decides to donate some amount of money...
Solve the programming task below in a Python markdown code block. Xenny was a teacher and his class consisted of N boys and N girls. He took all his students to the playground and asked them to stand in a straight line. The boys and the girls formed a perfect line, but Xenny seemed unhappy. He wanted them to form an a...
Solve the programming task below in a Python markdown code block. We have N voting papers. The i-th vote (1 \leq i \leq N) has the string S_i written on it. Print all strings that are written on the most number of votes, in lexicographical order. Constraints * 1 \leq N \leq 2 \times 10^5 * S_i (1 \leq i \leq N) are...
Solve the programming task below in a Python markdown code block. Takahashi has a tower which is divided into N layers. Initially, all the layers are uncolored. Takahashi is going to paint some of the layers in red, green or blue to make a beautiful tower. He defines the beauty of the tower as follows: * The beauty o...
Solve the programming task below in a Python markdown code block. Tic-tac-toe is a game in which you win when you put ○ and × alternately in the 3 × 3 squares and line up ○ or × in one of the vertical, horizontal, and diagonal lines (Fig.). 1 to Fig. 3) <image> | <image> | <image> --- | --- | --- Figure 1: ○ wins | F...
Solve the programming task below in a Python markdown code block. Artist Shinagawa was asked to exhibit n works. Therefore, I decided to exhibit the six sides of the cube colored with paint as a work. The work uses all six colors, Red, Yellow, Blue, Magenta, Green, and Cyan, and each side is filled with one color. Shi...
Solve the programming task below in a Python markdown code block. Alice and Brown are brothers in a family and each receives pocket money in celebration of the coming year. They are very close and share the total amount of the money fifty-fifty. The pocket money each receives is a multiple of 1,000 yen. Write a progr...
Solve the programming task below in a Python markdown code block. In the Kingdom of IOI, the wind always blows from sea to land. There are $N + 1$ spots numbered from $0$ to $N$. The wind from Spot $0$ to Spot $N$ in order. Mr. JOI has a house at Spot $N$. The altitude of Spot $0$ is $A_0 = 0$, and the altitude of Spo...
Solve the programming task below in a Python markdown code block. A fraction whose numerator is 1 and whose denominator is a positive integer is called a unit fraction. A representation of a positive rational number p/q as the sum of finitely many unit fractions is called a partition of p/q into unit fractions. For ex...
Solve the programming task below in a Python markdown code block. Reordering the Documents Susan is good at arranging her dining table for convenience, but not her office desk. Susan has just finished the paperwork on a set of documents, which are still piled on her desk. They have serial numbers and were stacked in...
Solve the programming task below in a Python markdown code block. Expression Mining Consider an arithmetic expression built by combining single-digit positive integers with addition symbols `+`, multiplication symbols `*`, and parentheses `(` `)`, defined by the following grammar rules with the start symbol `E`. E ...
Solve the programming task below in a Python markdown code block. Training is indispensable for achieving good results at ICPC. Rabbit wants to win at ICPC, so he decided to practice today as well. Today's training is to increase creativity by drawing pictures. Let's draw a pattern well using a square stamp. I want ...
Solve the programming task below in a Python markdown code block. In the International City of Pipe Construction, it is planned to repair the water pipe at a certain point in the water pipe network. The network consists of water pipe segments, stop valves and source point. A water pipe is represented by a segment on a...
Solve the programming task below in a Python markdown code block. In the Jambo Amusement Garden (JAG), you sell colorful drinks consisting of multiple color layers. This colorful drink can be made by pouring multiple colored liquids of different density from the bottom in order. You have already prepared several colo...
Solve the programming task below in a Python markdown code block. Priority queue is a container of elements which the element with the highest priority should be extracted first. For $n$ priority queues $Q_i$ ($i = 0, 1, ..., n-1$) of integers, perform a sequence of the following operations. * insert($t$, $x$): Inse...
Solve the programming task below in a Python markdown code block. In Summer Informatics School, if a student doesn't behave well, teachers make a hole in his badge. And today one of the teachers caught a group of n students doing yet another trick. Let's assume that all these students are numbered from 1 to n. The t...
Solve the programming task below in a Python markdown code block. Zibi is a competitive programming coach. There are n competitors who want to be prepared well. The training contests are quite unusual – there are two people in a team, two problems, and each competitor will code exactly one of them. Of course, people i...
Solve the programming task below in a Python markdown code block. You have got a shelf and want to put some books on it. You are given q queries of three types: 1. L id — put a book having index id on the shelf to the left from the leftmost existing book; 2. R id — put a book having index id on the shelf to the...
Solve the programming task below in a Python markdown code block. You are given two segments [l_1; r_1] and [l_2; r_2] on the x-axis. It is guaranteed that l_1 < r_1 and l_2 < r_2. Segments may intersect, overlap or even coincide with each other. <image> The example of two segments on the x-axis. Your problem is to ...
Solve the programming task below in a Python markdown code block. Recall that string a is a subsequence of a string b if a can be obtained from b by deletion of several (possibly zero or all) characters. For example, for the string a="wowwo", the following strings are subsequences: "wowwo", "wowo", "oo", "wow", "", an...
Solve the programming task below in a Python markdown code block. The only difference between easy and hard versions is the number of elements in the array. You are given an array a consisting of n integers. In one move you can choose any a_i and divide it by 2 rounding down (in other words, in one move you can set a...
Solve the programming task below in a Python markdown code block. Alice is playing a game with her good friend, Marisa. There are n boxes arranged in a line, numbered with integers from 1 to n from left to right. Marisa will hide a doll in one of the boxes. Then Alice will have m chances to guess where the doll is. I...
Solve the programming task below in a Python markdown code block. Karlsson has recently discovered a huge stock of berry jam jars in the basement of the house. More specifically, there were 2n jars of strawberry and blueberry jam. All the 2n jars are arranged in a row. The stairs to the basement are exactly in the mi...
Solve the programming task below in a Python markdown code block. The map of Bertown can be represented as a set of n intersections, numbered from 1 to n and connected by m one-way roads. It is possible to move along the roads from any intersection to any other intersection. The length of some path from one intersecti...
Solve the programming task below in a Python markdown code block. If the girl doesn't go to Denis, then Denis will go to the girl. Using this rule, the young man left home, bought flowers and went to Nastya. On the way from Denis's house to the girl's house is a road of n lines. This road can't be always crossed in ...
Solve the programming task below in a Python markdown code block. The last contest held on Johnny's favorite competitive programming platform has been received rather positively. However, Johnny's rating has dropped again! He thinks that the presented tasks are lovely, but don't show the truth about competitors' skill...
Solve the programming task below in a Python markdown code block. Mr. Chanek The Ninja is one day tasked with a mission to handle mad snakes that are attacking a site. Now, Mr. Chanek already arrived at the hills where the destination is right below these hills. The mission area can be divided into a grid of size 1000...
Solve the programming task below in a Python markdown code block. You are given a rectangular grid with n rows and m columns. The cell located on the i-th row from the top and the j-th column from the left has a value a_{ij} written in it. You can perform the following operation any number of times (possibly zero): ...
Solve the programming task below in a Python markdown code block. For the New Year, Polycarp decided to send postcards to all his n friends. He wants to make postcards with his own hands. For this purpose, he has a sheet of paper of size w × h, which can be cut into pieces. Polycarp can cut any sheet of paper w × h t...
Solve the programming task below in a Python markdown code block. Gaurang has grown up in a mystical universe. He is faced by n consecutive 2D planes. He shoots a particle of decay age k at the planes. A particle can pass through a plane directly, however, every plane produces an identical copy of the particle going ...
Solve the programming task below in a Python markdown code block. Let's call a positive integer n ordinary if in the decimal notation all its digits are the same. For example, 1, 2 and 99 are ordinary numbers, but 719 and 2021 are not ordinary numbers. For a given number n, find the number of ordinary numbers among t...
Solve the programming task below in a Python markdown code block. You are given a directed graph G which can contain loops (edges from a vertex to itself). Multi-edges are absent in G which means that for all ordered pairs (u, v) exists at most one edge from u to v. Vertices are numbered from 1 to n. A path from u to...
Solve the programming task below in a Python markdown code block. The problem describes the properties of a command line. The description somehow resembles the one you usually see in real operating systems. However, there are differences in the behavior. Please make sure you've read the statement attentively and use i...
Solve the programming task below in a Python markdown code block. Little boy Petya loves stairs very much. But he is bored from simple going up and down them — he loves jumping over several stairs at a time. As he stands on some stair, he can either jump to the next one or jump over one or two stairs at a time. But so...
Solve the programming task below in a Python markdown code block. Our bear's forest has a checkered field. The checkered field is an n × n table, the rows are numbered from 1 to n from top to bottom, the columns are numbered from 1 to n from left to right. Let's denote a cell of the field on the intersection of row x ...
Solve the programming task below in a Python markdown code block. Fedya studies in a gymnasium. Fedya's maths hometask is to calculate the following expression: (1n + 2n + 3n + 4n) mod 5 for given value of n. Fedya managed to complete the task. Can you? Note that given number n can be extremely large (e.g. it can ex...
Solve the programming task below in a Python markdown code block. Vanya has a table consisting of 100 rows, each row contains 100 cells. The rows are numbered by integers from 1 to 100 from bottom to top, the columns are numbered from 1 to 100 from left to right. In this table, Vanya chose n rectangles with sides th...
Solve the programming task below in a Python markdown code block. You are a lover of bacteria. You want to raise some bacteria in a box. Initially, the box is empty. Each morning, you can put any number of bacteria into the box. And each night, every bacterium in the box will split into two bacteria. You hope to see...
Solve the programming task below in a Python markdown code block. Everyone knows that long ago on the territory of present-day Berland there lived Bindian tribes. Their capital was surrounded by n hills, forming a circle. On each hill there was a watchman, who watched the neighbourhood day and night. In case of any d...
Solve the programming task below in a Python markdown code block. Recently Polycarp started to develop a text editor that works only with correct bracket sequences (abbreviated as CBS). Note that a bracket sequence is correct if it is possible to get a correct mathematical expression by adding "+"-s and "1"-s to it....
Solve the programming task below in a Python markdown code block. Barney lives in country USC (United States of Charzeh). USC has n cities numbered from 1 through n and n - 1 roads between them. Cities and roads of USC form a rooted tree (Barney's not sure why it is rooted). Root of the tree is the city number 1. Thus...
Solve the programming task below in a Python markdown code block. Harry Water, Ronaldo, Her-my-oh-knee and their friends have started a new school year at their MDCS School of Speechcraft and Misery. At the time, they are very happy to have seen each other after a long time. The sun is shining, birds are singing, flow...
Solve the programming task below in a Python markdown code block. Dasha logged into the system and began to solve problems. One of them is as follows: Given two sequences a and b of length n each you need to write a sequence c of length n, the i-th element of which is calculated as follows: ci = bi - ai. About seque...
Solve the programming task below in a Python markdown code block. You are developing a new feature for the website which sells airline tickets: being able to sort tickets by price! You have already extracted the tickets' prices, so there's just the last step to be done... You are given an array of integers. Sort it i...
Solve the programming task below in a Python markdown code block. You are given a multiset of n integers. You should select exactly k of them in a such way that the difference between any two of them is divisible by m, or tell that it is impossible. Numbers can be repeated in the original multiset and in the multiset...
Solve the programming task below in a Python markdown code block. The whole world got obsessed with robots,and to keep pace with the progress, great Berland's programmer Draude decided to build his own robot. He was working hard at the robot. He taught it to walk the shortest path from one point to another, to record ...
Solve the programming task below in a Python markdown code block. Imp likes his plush toy a lot. <image> Recently, he found a machine that can clone plush toys. Imp knows that if he applies the machine to an original toy, he additionally gets one more original toy and one copy, and if he applies the machine to a cop...
Solve the programming task below in a Python markdown code block. One day Igor K. stopped programming and took up math. One late autumn evening he was sitting at a table reading a book and thinking about something. The following statement caught his attention: "Among any six people there are either three pairwise ac...
Solve the programming task below in a Python markdown code block. Limak is an old brown bear. He often goes bowling with his friends. For rolling a ball one gets a score - a non-negative integer number of points. Score for the i-th roll is multiplied by i and scores are summed up. For example, for rolls with scores 7...
Solve the programming task below in a Python markdown code block. Ma5termind and Subway are bored of their normal life.They want to do something interesting so that they can enjoy their last sem of college life.As usual Ma5termind comes up with a simple and interesting game. Ma5termind gives Subway a compressed strin...
Solve the programming task below in a Python markdown code block. There is a mysterious temple in Mysteryland. The door of the temple is always closed.It can only be opened by a unique procedure.There are two boxes and N items outside the temple.Sherlock holmes visits the temple many times.Each time Sherlock holmes vi...
Solve the programming task below in a Python markdown code block. As predicted by the great Gods, Little Arjit has got nothing to do this summer. (Are you surprised?) But, he's not one of those people to lose hope... not so easily. He decided to work hard this summer on the two things he wants the most, as of now: "Du...
Solve the programming task below in a Python markdown code block. Fennec is fighting with N monsters. The health of the i-th monster is H_i. Fennec can do the following two actions: * Attack: Fennec chooses one monster. That monster's health will decrease by 1. * Special Move: Fennec chooses one monster. That monst...
Solve the programming task below in a Python markdown code block. You will be given a string S of length 3 representing the weather forecast for three days in the past. The i-th character (1 \leq i \leq 3) of S represents the forecast for the i-th day. `S`, `C`, and `R` stand for sunny, cloudy, and rainy, respectivel...
Solve the programming task below in a Python markdown code block. Note the unusual memory limit. For a rectangular grid where each square is painted white or black, we define its complexity as follows: * If all the squares are black or all the squares are white, the complexity is 0. * Otherwise, divide the grid into...
Solve the programming task below in a Python markdown code block. In your garden, there is a long and narrow flowerbed that stretches infinitely to the east. You have decided to plant N kinds of flowers in this empty flowerbed. For convenience, we will call these N kinds of flowers Flower 1, 2, …, N. Also, we will cal...
Solve the programming task below in a Python markdown code block. There is a set consisting of N distinct integers. The i-th smallest element in this set is S_i. We want to divide this set into two sets, X and Y, such that: * The absolute difference of any two distinct elements in X is A or greater. * The absolute di...
Solve the programming task below in a Python markdown code block. Sigma and Sugim are playing a game. The game is played on a graph with N vertices numbered 1 through N. The graph has N-1 red edges and N-1 blue edges, and the N-1 edges in each color forms a tree. The red edges are represented by pairs of integers (a_...
Solve the programming task below in a Python markdown code block. The huge maze The Squares has been newly completed in the famous theme park. Evacuation drills must be conducted under the guidance of the fire department, but the time required for the drills cannot be predicted due to the huge maze. Therefore, you dec...
Solve the programming task below in a Python markdown code block. Dr. Grey is a data analyst, who visualizes various aspects of data received from all over the world everyday. He is extremely good at sophisticated visualization tools, but yet his favorite is a simple self-made histogram generator. Figure 1 is an exam...
Solve the programming task below in a Python markdown code block. This is the story of 20XX. The number of air passengers increased as a result of the stable energy supply by the renewable power network and the invention of liquefied synthetic fuel. However, the threat of terrorism by aircraft still exists, and the im...
Solve the programming task below in a Python markdown code block. You are recording a result of a secret experiment, which consists of a large set of N-dimensional vectors. Since the result may become very large, you are thinking of compressing it. Fortunately you already have a good compression method for vectors wit...
Solve the programming task below in a Python markdown code block. Sunuke-kun's dictionary contains the words s1, ..., sn, which consist of n lowercase letters. This satisfies s1 <... <sn when compared in lexicographical order. Unfortunately, some characters are faint and unreadable. Unreadable characters are represent...
Solve the programming task below in a Python markdown code block. Example Input 4 Durett 7 Gayles 3 Facenda 6 Daughtery 0 1 + Mccourtney 2 Output Mccourtney is not working now. Durett is working hard now. The input will be give Read the inputs from stdin solve the problem and write the answer to stdout (do not ...
Solve the programming task below in a Python markdown code block. <image> As shown in the figure above, cut a convex polygon g by a line p1p2 and print the area of the cut polygon which is on the left-hand side of the line. g is represented by a sequence of points p1, p2,..., pn where line segments connecting pi an...
Solve the programming task below in a Python markdown code block. Tug of war is a sport that directly puts two teams against each other in a test of strength. During school days, both Chef Shifu and Chef Po were champions of tug of war. On behalf of restaurant's anniversary, Chef Shifu and Chef Po have decided to con...
Solve the programming task below in a Python markdown code block. A star is a figure of the following type: an asterisk character '*' in the center of the figure and four rays (to the left, right, top, bottom) of the same positive length. The size of a star is the length of its rays. The size of a star must be a posit...
Solve the programming task below in a Python markdown code block. In order to make the "Sea Battle" game more interesting, Boris decided to add a new ship type to it. The ship consists of two rectangles. The first rectangle has a width of w_1 and a height of h_1, while the second rectangle has a width of w_2 and a hei...
Solve the programming task below in a Python markdown code block. Nazar, a student of the scientific lyceum of the Kingdom of Kremland, is known for his outstanding mathematical abilities. Today a math teacher gave him a very difficult task. Consider two infinite sets of numbers. The first set consists of odd positiv...
Solve the programming task below in a Python markdown code block. Petya loves lucky numbers. Everybody knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not. One day Petya was delivered a str...
Solve the programming task below in a Python markdown code block. Recently Polycarp noticed that some of the buttons of his keyboard are malfunctioning. For simplicity, we assume that Polycarp's keyboard contains 26 buttons (one for each letter of the Latin alphabet). Each button is either working fine or malfunctioni...
Solve the programming task below in a Python markdown code block. Vasya had three strings a, b and s, which consist of lowercase English letters. The lengths of strings a and b are equal to n, the length of the string s is equal to m. Vasya decided to choose a substring of the string a, then choose a substring of th...
Solve the programming task below in a Python markdown code block. Kaavi, the mysterious fortune teller, deeply believes that one's fate is inevitable and unavoidable. Of course, she makes her living by predicting others' future. While doing divination, Kaavi believes that magic spells can provide great power for her t...
Solve the programming task below in a Python markdown code block. Oh, no! The coronavirus has caught you, and now you're sitting in a dark cellar, with tied legs (but not hands). You have a delicious cookie, a laptop in front of you, and your ideal development environment is open. The coronavirus convinces you to sol...
Solve the programming task below in a Python markdown code block. You are given a directed graph of n vertices and m edges. Vertices are numbered from 1 to n. There is a token in vertex 1. The following actions are allowed: * Token movement. To move the token from vertex u to vertex v if there is an edge u → v in...
Solve the programming task below in a Python markdown code block. Monocarp wants to draw four line segments on a sheet of paper. He wants the i-th segment to have its length equal to a_i (1 ≤ i ≤ 4). These segments can intersect with each other, and each segment should be either horizontal or vertical. Monocarp wants...
Solve the programming task below in a Python markdown code block. You are given three integers a, b, k. Find two binary integers x and y (x ≥ y) such that 1. both x and y consist of a zeroes and b ones; 2. x - y (also written in binary form) has exactly k ones. You are not allowed to use leading zeros for x ...
Solve the programming task below in a Python markdown code block. There are n computers in a row, all originally off, and Phoenix wants to turn all of them on. He will manually turn on computers one at a time. At any point, if computer i-1 and computer i+1 are both on, computer i (2 ≤ i ≤ n-1) will turn on automatical...
Solve the programming task below in a Python markdown code block. You are given a sequence A, where its elements are either in the form + x or -, where x is an integer. For such a sequence S where its elements are either in the form + x or -, define f(S) as follows: * iterate through S's elements from the first on...
Solve the programming task below in a Python markdown code block. The main server of Gomble company received a log of one top-secret process, the name of which can't be revealed. The log was written in the following format: «[date:time]: message», where for each «[date:time]» value existed not more than 10 lines. All ...
Solve the programming task below in a Python markdown code block. So, the Berland is at war with its eternal enemy Flatland again, and Vasya, an accountant, was assigned to fulfil his duty to the nation. Right now the situation in Berland is dismal — their both cities are surrounded! The armies of flatlanders stand ...
Solve the programming task below in a Python markdown code block. Gerald has been selling state secrets at leisure. All the secrets cost the same: n marks. The state which secrets Gerald is selling, has no paper money, only coins. But there are coins of all positive integer denominations that are powers of three: 1 ma...
Solve the programming task below in a Python markdown code block. Hooray! Berl II, the king of Berland is making a knight tournament. The king has already sent the message to all knights in the kingdom and they in turn agreed to participate in this grand event. As for you, you're just a simple peasant. There's no sur...
Solve the programming task below in a Python markdown code block. Vanya loves playing. He even has a special set of cards to play with. Each card has a single integer. The number on the card can be positive, negative and can even be equal to zero. The only limit is, the number on each card doesn't exceed x in the abso...
Solve the programming task below in a Python markdown code block. Summer is coming! It's time for Iahub and Iahubina to work out, as they both want to look hot at the beach. The gym where they go is a matrix a with n lines and m columns. Let number a[i][j] represents the calories burned by performing workout at the ce...
Solve the programming task below in a Python markdown code block. Petya and Gena love playing table tennis. A single match is played according to the following rules: a match consists of multiple sets, each set consists of multiple serves. Each serve is won by one of the players, this player scores one point. As soon ...
Solve the programming task below in a Python markdown code block. While Mike was walking in the subway, all the stuff in his back-bag dropped on the ground. There were several fax messages among them. He concatenated these strings in some order and now he has string s. <image> He is not sure if this is his own back-...
Solve the programming task below in a Python markdown code block. Limak is an old brown bear. He often plays poker with his friends. Today they went to a casino. There are n players (including Limak himself) and right now all of them have bids on the table. i-th of them has bid with size ai dollars. Each player can d...
Solve the programming task below in a Python markdown code block. After making bad dives into swimming pools, Wilbur wants to build a swimming pool in the shape of a rectangle in his backyard. He has set up coordinate axes, and he wants the sides of the rectangle to be parallel to them. Of course, the area of the rect...
Solve the programming task below in a Python markdown code block. A flowerbed has many flowers and two fountains. You can adjust the water pressure and set any values r1(r1 ≥ 0) and r2(r2 ≥ 0), giving the distances at which the water is spread from the first and second fountain respectively. You have to set such r1 a...
Solve the programming task below in a Python markdown code block. A sportsman starts from point xstart = 0 and runs to point with coordinate xfinish = m (on a straight line). Also, the sportsman can jump — to jump, he should first take a run of length of not less than s meters (in this case for these s meters his path...
Solve the programming task below in a Python markdown code block. It is well known that the planet suffers from the energy crisis. Little Petya doesn't like that and wants to save the world. For this purpose he needs every accumulator to contain the same amount of energy. Initially every accumulator has some amount of...
Solve the programming task below in a Python markdown code block. ZS the Coder has recently found an interesting concept called the Birthday Paradox. It states that given a random set of 23 people, there is around 50% chance that some two of them share the same birthday. ZS the Coder finds this very interesting, and d...
Solve the programming task below in a Python markdown code block. Bob recently read about bitwise operations used in computers: AND, OR and XOR. He have studied their properties and invented a new game. Initially, Bob chooses integer m, bit depth of the game, which means that all numbers in the game will consist of m...
Solve the programming task below in a Python markdown code block. Polycarp has just invented a new binary protocol for data transmission. He is encoding positive integer decimal number to binary string using following algorithm: * Each digit is represented with number of '1' characters equal to the value of that di...
Solve the programming task below in a Python markdown code block. In the computer network of the Berland State University there are n routers numbered from 1 to n. Some pairs of routers are connected by patch cords. Information can be transmitted over patch cords in both direction. The network is arranged in such a wa...
Solve the programming task below in a Python markdown code block. What are you doing at the end of the world? Are you busy? Will you save us? <image> Nephren is playing a game with little leprechauns. She gives them an infinite array of strings, f0... ∞. f0 is "What are you doing at the end of the world? Are you b...
Solve the programming task below in a Python markdown code block. As we all know, Max is the best video game player among her friends. Her friends were so jealous of hers, that they created an actual game just to prove that she's not the best at games. The game is played on a directed acyclic graph (a DAG) with n vert...