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Coding | codecontest | Write Python code to solve the task.
Xenia is an amateur programmer. Today on the IT lesson she learned about the Hamming distance.
The Hamming distance between two strings s = s1s2... sn and t = t1t2... tn of equal length n is value <image>. Record [si ≠ ti] is the Iverson notation and represents the following: if si... | Step 1: To solve this problem, we can start by defining the Hamming distance between two strings of the same length.
Step 2: We then need to calculate the Hamming distance between the concatenated strings a and b, where a is the concatenation of n copies of string x and b is the concatenation of m copies of string y.... | 7f8cc3ab9f085887b657396896861466246d6e61ef39db3ea540c60a3eb75fc5_1_1 | d82c12b8f62f5b057d24443470be6c4606eb172405054192ab1d39d463ec837e |
Coding | codecontest | Write Python code to solve the task.
While swimming at the beach, Mike has accidentally dropped his cellphone into the water. There was no worry as he bought a cheap replacement phone with an old-fashioned keyboard. The keyboard has only ten digital equal-sized keys, located in the following way:
<image>
Together wit... | Step 1: To solve this problem, we need to understand the finger movements required to input different numbers on the old-fashioned keyboard.
Step 2: We should check if the sequence of finger movements provided by Mike can represent multiple numbers or only one number.
Step 3: We'll need to evaluate the direction of ... | 8a253c99618f4daeaa7c59d0531a7164805456b90b5874aab2550b761f749b3c_1_1 | 7967d7acefca81daaf6f9bd0bd0f090b1d81a276046dacbd7ebce2380deef75d |
Coding | codecontest | Write Python code to solve the task.
While swimming at the beach, Mike has accidentally dropped his cellphone into the water. There was no worry as he bought a cheap replacement phone with an old-fashioned keyboard. The keyboard has only ten digital equal-sized keys, located in the following way:
<image>
Together wit... | Step 1: The problem requires checking if there is another phone number with the same finger movements as the input number and determining whether Mike can be sure that he is calling the correct number.
Step 2: We can achieve this by identifying finger movements for each number and checking if there is any other numbe... | dde72ddeeaaf2b0b331a4bbedeb4f3af004a3a836c2fcf9738066f153c3474c8_1_1 | 7967d7acefca81daaf6f9bd0bd0f090b1d81a276046dacbd7ebce2380deef75d |
Coding | codecontest | Write Python code to solve the task.
Holidays have finished. Thanks to the help of the hacker Leha, Noora managed to enter the university of her dreams which is located in a town Pavlopolis. It's well known that universities provide students with dormitory for the period of university studies. Consequently Noora had to... | Step 1: The problem requires finding the greatest common divisor of the factorials of two given integers, A and B.
Step 2: To solve this problem, we need to calculate the factorial of each integer and then find the greatest common divisor of the resulting factorials.
Step 3: We can create a function to calculate the... | 7512458a43419c39de6327784c60f0a9c25046d0501bee5c89776a941e4690e8_1_1 | 152d51da04e31bdac7e82ef3b4929982ad704d5bb630f2ede252380942f3d8d2 |
Coding | codecontest | Write Python code to solve the task.
Holidays have finished. Thanks to the help of the hacker Leha, Noora managed to enter the university of her dreams which is located in a town Pavlopolis. It's well known that universities provide students with dormitory for the period of university studies. Consequently Noora had to... | Step 1: The problem requires finding the greatest common divisor of the factorials of two given integers, A and B.
Step 2: We can calculate the factorial of each integer separately and then find the greatest common divisor of the resulting factorials.
Step 3: To solve the problem, we need to calculate the factorial ... | c1e301569fac192da2d7461bf272e80e601fbab1ed5c917c3a4b1958ba5542b3_1_1 | 152d51da04e31bdac7e82ef3b4929982ad704d5bb630f2ede252380942f3d8d2 |
Coding | codecontest | Write Python code to solve the task.
Let us define the beauty of a sequence (a_1,... ,a_n) as the number of pairs of two adjacent elements in it whose absolute differences are d. For example, when d=1, the beauty of the sequence (3, 2, 3, 10, 9) is 3.
There are a total of n^m sequences of length m where each element i... | Step 1: To solve this problem, we need to write a program that calculates the beauty of each sequence of length m where each element is an integer between 1 and n, and then prints the average of those values.
Step 2: We can start by taking the input values for n, m, and d.
Step 3: Then, we need to iterate through al... | b801c0a1d317c32e27428b1fba91ea29a8fb31c078ac00c328c9aa716a229fe8_1_1 | 5f898822a5da8b89005d926f0457098850bc9bec66484583b6a9d41af54dfb7a |
Coding | codecontest | Write Python code to solve the task.
Let us define the beauty of a sequence (a_1,... ,a_n) as the number of pairs of two adjacent elements in it whose absolute differences are d. For example, when d=1, the beauty of the sequence (3, 2, 3, 10, 9) is 3.
There are a total of n^m sequences of length m where each element i... | Step 1: The problem requires us to find the average beauty of sequences of length m where each element is an integer between 1 and n, given a value d.
Step 2: We can start by iterating through all possible sequences of length m and calculate the beauty for each sequence.
Step 3: Then, we can find the average of th... | 9f16b5ea27708e4e530eb0de84993e6c6847ce7b4cf7e5b045ff6995e630f7ea_1_1 | 5f898822a5da8b89005d926f0457098850bc9bec66484583b6a9d41af54dfb7a |
Coding | codecontest | Write Python code to solve the task.
It's been a while since I played with A, B, and C. Mr. A and Mr. B became players, and Mr. C became a referee and played a badminton singles game. The rules decided by the three people are as follows.
* 3 Play the game.
* The person who gets 11 points first wins the game.
* The fir... | Step 1: To solve this problem, we will iterate through multiple datasets to calculate the scores of Mr. A and Mr. B based on the records of the serve order.
Step 2: We need to account for the rules of the game, such as the game sequence, points required to win, the order of the serve, and deciding the winner based on... | 5ebf4987fb923b3dcd7cf27f6e8b37d466892655ae8e9a4f76352b315140b203_1_1 | c27f3272fe831383484624dd6404c4bdea4e3378ba42296a2287ab102f3f13c8 |
Coding | codecontest | Write Python code to solve the task.
It's been a while since I played with A, B, and C. Mr. A and Mr. B became players, and Mr. C became a referee and played a badminton singles game. The rules decided by the three people are as follows.
* 3 Play the game.
* The person who gets 11 points first wins the game.
* The fir... | Step 1: The solution should loop through the input datasets and calculate the score for Mr. A and Mr. B based on the serve order recorded in the string.
Step 2: We need to keep track of the score for each game and output the scores for each dataset.
Step 3: It's important to consider the specific game rules, such as... | 2ca16bc2e846552f54688ae25b876841d42f4b8215b64eeb746fb3d1ee350b2c_1_1 | c27f3272fe831383484624dd6404c4bdea4e3378ba42296a2287ab102f3f13c8 |
Coding | codecontest | Write Python code to solve the task.
There are n people in a row. The height of the i-th person is a_i. You can choose any subset of these people and try to arrange them into a balanced circle.
A balanced circle is such an order of people that the difference between heights of any adjacent people is no more than 1. Fo... | Step 1: The problem involves choosing a subset of people and arranging them into a balanced circle based on their heights.
Step 2: We need to determine the maximum number of people and construct a balanced circle consisting of all chosen people.
Step 3: We can use a Counter to count the occurrences of each height in... | 678873ed79832995a1ee89e11cf7faabd170aaec9287e246a0532a029edd1909_1_1 | 5ab0b882599195bdc619c442f8dd460f89ef8a51b02ca58791154d9f08dd6e41 |
Coding | codecontest | Write Python code to solve the task.
There are n people in a row. The height of the i-th person is a_i. You can choose any subset of these people and try to arrange them into a balanced circle.
A balanced circle is such an order of people that the difference between heights of any adjacent people is no more than 1. Fo... | Step 1: The problem involves finding the maximum number of people that can be arranged into a balanced circle, where the height difference between adjacent people is no more than 1.
Step 2: We can start by getting the input, which includes the number of people and their heights, and then process the input to determin... | 0c21dd5dc90a6430904a6b9ace979f2600b6007c4b2baf39d622234e70a0272f_1_1 | 5ab0b882599195bdc619c442f8dd460f89ef8a51b02ca58791154d9f08dd6e41 |
Coding | codecontest | Write Python code to solve the task.
Maxim wants to buy an apartment in a new house at Line Avenue of Metropolis. The house has n apartments that are numbered from 1 to n and are arranged in a row. Two apartments are adjacent if their indices differ by 1. Some of the apartments can already be inhabited, others are avai... | Step 1: To solve this problem, we need to determine the minimum and maximum number of apartments that are good for Maxim.
Step 2: We need to consider the conditions for an apartment to be good, which include being available for sale and having at least one already inhabited apartment adjacent to it.
Step 3: We also ... | 20ff039faeebe09979970f7dc402c8021f650a6041517509feb1fa157e7e46ef_1_1 | 9b173c13e2f57ddc63eed4a57ef5d9811fb435a478eee9af6d4c67142b57702f |
Coding | codecontest | Write Python code to solve the task.
Maxim wants to buy an apartment in a new house at Line Avenue of Metropolis. The house has n apartments that are numbered from 1 to n and are arranged in a row. Two apartments are adjacent if their indices differ by 1. Some of the apartments can already be inhabited, others are avai... | Step 1: To solve this problem, we need to consider the scenarios where the minimum and maximum number of apartments that are good for Maxim occur.
Step 2: We know that an apartment is good for Maxim if it is available for sale and there is at least one already inhabited apartment adjacent to it.
Step 3: If k = 0 or ... | 5f92d8cabe18b83fb80ba2da50a766e92e1442dc032fd483f4ba625a919cb151_1_1 | 9b173c13e2f57ddc63eed4a57ef5d9811fb435a478eee9af6d4c67142b57702f |
Coding | codecontest | Write Python code to solve the task.
You've got an array a, consisting of n integers: a1, a2, ..., an. Your task is to find a minimal by inclusion segment [l, r] (1 ≤ l ≤ r ≤ n) such, that among numbers al, al + 1, ..., ar there are exactly k distinct numbers.
Segment [l, r] (1 ≤ l ≤ r ≤ n; l, r are integers) of lengt... | Step 1: The goal of this problem is to find the minimal by inclusion segment in an array, such that there are exactly k distinct numbers. We can solve this using a sliding window technique.
Step 2: We need to iterate through the array from the beginning and keep track of the count of distinct numbers in the segment. ... | d3d1ad7556782d28f7eb3269048c84d18e9c07bb48b7b0b6ad5411ddbf3bf85d_1_1 | 0cf37be3cf1c5f5b93a40eb05338e53e7e87f92e0b13d167cb94bb6b4c09b38a |
Coding | codecontest | Write Python code to solve the task.
You've got an array a, consisting of n integers: a1, a2, ..., an. Your task is to find a minimal by inclusion segment [l, r] (1 ≤ l ≤ r ≤ n) such, that among numbers al, al + 1, ..., ar there are exactly k distinct numbers.
Segment [l, r] (1 ≤ l ≤ r ≤ n; l, r are integers) of lengt... | Step 1: The problem requires finding a minimal by inclusion segment [l, r] such that among the numbers al, al+1, ..., ar there are exactly k distinct numbers.
Step 2: We can approach this problem using a sliding window technique to find the segment with exactly k distinct numbers.
Step 3: We'll use a hash map to kee... | 8d798c130f803c98a4ff4f7ab36691a2c583398a26becbd07c1fc13579ee17aa_1_1 | 0cf37be3cf1c5f5b93a40eb05338e53e7e87f92e0b13d167cb94bb6b4c09b38a |
Coding | codecontest | Write Python code to solve the task.
Berland State University invites people from all over the world as guest students. You can come to the capital of Berland and study with the best teachers in the country.
Berland State University works every day of the week, but classes for guest students are held on the following ... | Step 1: Given the schedule of classes and the requirement to study a certain number of days, we need to find the shortest continuous period to stay in the capital.
Step 2: To solve this, we should first determine the total number of days in which classes are available in a week. We can then calculate the number of po... | 90644d2be8eb3d9710f2d3f2e4e0f82e99e44bab75650a94154f2d6a9f409b33_1_1 | e5a46bedd64af4477512b557fd445f66afd34ee614c8e20648765c6939d6d5fd |
Coding | codecontest | Write Python code to solve the task.
Berland State University invites people from all over the world as guest students. You can come to the capital of Berland and study with the best teachers in the country.
Berland State University works every day of the week, but classes for guest students are held on the following ... | Step 1: The problem requires finding the shortest continuous period of days needed to spend in the capital to study k days as a guest student in Berland State University.
Step 2: We need to consider the schedule of classes for guest students for each week as well as the total number of days needed to study.
Step 3: ... | 2fe2b39c1093e874d929bcfece0ea317ef207552f73cec4229b3128ebb5170f8_1_1 | e5a46bedd64af4477512b557fd445f66afd34ee614c8e20648765c6939d6d5fd |
Coding | codecontest | Write Python code to solve the task.
As we all know Barney's job is "PLEASE" and he has not much to do at work. That's why he started playing "cups and key". In this game there are three identical cups arranged in a line from left to right. Initially key to Barney's heart is under the middle cup.
<image>
Then at one ... | Step 1: The problem involves calculating the remaining division of two numbers P and Q by a large number 109 + 7 based on an array provided that has a large number of elements.
Step 2: We can use a loop to iterate through the array and calculate P * Q after array multiplication, update P and Q based on some propertie... | a15b5cf56d493bc4e6f937b8fd63224fb7e194a6dd4ab57e99c014a7186c7969_1_1 | 86d32eff15034b5e272abe7c0826086eedb5f8d8cbc4e50f0cc526ea6281ed49 |
Coding | codecontest | Write Python code to solve the task.
As we all know Barney's job is "PLEASE" and he has not much to do at work. That's why he started playing "cups and key". In this game there are three identical cups arranged in a line from left to right. Initially key to Barney's heart is under the middle cup.
<image>
Then at one ... | Step 1: This problem is asking for the probability that a girl guessed right which cup the key is under after Barney plays the cups and key game n times.
Step 2: The key always remains in the cup it was at the start, and Barney swaps the middle cup with one of the other two cups in each turn.
Step 3: We have a seque... | 6f67ba034e31fc0ce0c0d5ba10191678cf62b142fcdcb7eb1cd6bfcc2b61d0b7_1_1 | 86d32eff15034b5e272abe7c0826086eedb5f8d8cbc4e50f0cc526ea6281ed49 |
Coding | codecontest | Write Python code to solve the task.
Nathan O. Davis is trying to capture a game and struggling to get a very rare item. This rare item can be obtained by arranging special patterns in a row on a casino slot machine. The slot machine has N reels, and pressing the button once stops the currently rotating leftmost reel. ... | Step 1: To solve this problem, we need to consider how we can calculate the value of each random number using the linear congruential method.
Step 2: Next, we need to determine when to press the button to achieve the special pattern.
Step 3: We could use a loop to generate random numbers until the special pattern is... | 69d46e1c56f4f57dc6a88ff537a9d7ab34ecd101c4787e86b1d3d6fe3b3a1591_1_1 | 9fa8cea983e87ba40c920959a4b0328598aaf347a94321e856e14c43bad5f2db |
Coding | codecontest | Write Python code to solve the task.
Nathan O. Davis is trying to capture a game and struggling to get a very rare item. This rare item can be obtained by arranging special patterns in a row on a casino slot machine. The slot machine has N reels, and pressing the button once stops the currently rotating leftmost reel. ... | Step 1: This problem involves simulating the generation of random numbers using the linear congruential method and checking if certain conditions are met to stop the reels at a special pattern.
Step 2: We need to iterate through each random number and increment the count until the conditions for stopping each reel ar... | c70d94a75112e3a3fb7f55e924015b90af58721d8ae18a0df4e6cef433e90ad5_1_1 | 9fa8cea983e87ba40c920959a4b0328598aaf347a94321e856e14c43bad5f2db |
Coding | codecontest | Write Python code to solve the task.
Phoenix is picking berries in his backyard. There are n shrubs, and each shrub has a_i red berries and b_i blue berries.
Each basket can contain k berries. But, Phoenix has decided that each basket may only contain berries from the same shrub or berries of the same color (red or bl... | Step 1: To solve this problem, we need to determine the maximum number of baskets that Phoenix can fill completely using the given shrubs and their berries.
Step 2: We can iterate through each shrub and keep track of the possible combinations of berries from each shrub and the total number of complete baskets.
Step 3... | a7909672cf7c361f097515c11ce60b5b121201d3740d3c66686d3566875774f6_1_1 | 0670063b0596e012f3b4c56b7abd0180fa484597ce6a1e38001aca1c95c11ee4 |
Coding | codecontest | Write Python code to solve the task.
Phoenix is picking berries in his backyard. There are n shrubs, and each shrub has a_i red berries and b_i blue berries.
Each basket can contain k berries. But, Phoenix has decided that each basket may only contain berries from the same shrub or berries of the same color (red or bl... | Step 1: The problem involves filling baskets with berries from shrubs, with a specific constraint on the maximum number of berries in each basket.
Step 2: To find the maximum number of baskets that Phoenix can fill, we can use dynamic programming to keep track of the number of red berries, blue berries, and the maxim... | e8075ef747fa991a76b8d2990bb903725c19f2f40328ef53d01783cb9e0e4f67_1_1 | 0670063b0596e012f3b4c56b7abd0180fa484597ce6a1e38001aca1c95c11ee4 |
Coding | codecontest | Write Python code to solve the task.
Recently, you bought a brand new smart lamp with programming features. At first, you set up a schedule to the lamp. Every day it will turn power on at moment 0 and turn power off at moment M. Moreover, the lamp allows you to set a program of switching its state (states are "lights o... | Step 1: The inserted program a represents the time at which the state of the lamp changes from on to off or off to on.
Step 2: The goal is to find the maximum total time when the lamp is lit.
Step 3: We need to analyze the initial program and determine if we need to insert any additional elements to maximize the tim... | 0c5f9271b5a3c55c72de0d01009cf354a2fc590064cf791f9938a9ae485e61dd_1_1 | e78fdb3939e5e9ced98aee2f7ffd93c9c0e57aa658c957e4a7622ab6056046f1 |
Coding | codecontest | Write Python code to solve the task.
Recently, you bought a brand new smart lamp with programming features. At first, you set up a schedule to the lamp. Every day it will turn power on at moment 0 and turn power off at moment M. Moreover, the lamp allows you to set a program of switching its state (states are "lights o... | Step 1: The program is used to find the maximum total time when the lamp is lit.
Step 2: We need to identify the preinstalled program and understand its behavior.
Step 3: We then need to consider alterations that can be made to the program to maximize the time when the lamp is lit.
Step 4: To solve this, the progr... | 1109ac57d4be3da0f9068665c93b529c6e3a38f8b31e1b9cd8d7d34706822327_1_1 | e78fdb3939e5e9ced98aee2f7ffd93c9c0e57aa658c957e4a7622ab6056046f1 |
Coding | codecontest | Write Python code to solve the task.
The final match of the Berland Football Cup has been held recently. The referee has shown n yellow cards throughout the match. At the beginning of the match there were a_1 players in the first team and a_2 players in the second team.
The rules of sending players off the game are a ... | Step 1: The problem is to find the minimum and the maximum number of players that could have been thrown out of the game.
Step 2: We can solve this problem by determining the minimum and maximum number of players that received the maximum number of yellow cards.
Step 3: We need to compare k1 and k2 to determine the ... | 603685404f341c75da329af9a04639b598c624693ac71d50c804a0b06fb4c8c4_1_1 | 4d11ae21018865defef0c64daee23ed77fcd616f0967326017ea2e26d55abeb2 |
Coding | codecontest | Write Python code to solve the task.
The final match of the Berland Football Cup has been held recently. The referee has shown n yellow cards throughout the match. At the beginning of the match there were a_1 players in the first team and a_2 players in the second team.
The rules of sending players off the game are a ... | Step 1: This appears to solve a problem that involves calculating the minimum and maximum number of players that could be sent off the game due to receiving yellow cards in a football match.
Step 2: We first need to identify the rules for players to be sent off the game based on the number of yellow cards they have r... | 13d97eb1d0dda23165786feda34221c5bcc974728b83ae725d1086fec6c34f8a_1_1 | 4d11ae21018865defef0c64daee23ed77fcd616f0967326017ea2e26d55abeb2 |
Coding | codecontest | Write Python code to solve the task.
You are playing a game where your character should overcome different obstacles. The current problem is to come down from a cliff. The cliff has height h, and there is a moving platform on each height x from 1 to h.
Each platform is either hidden inside the cliff or moved out. At f... | Step 1: The problem requires determining the minimum number of magic crystals needed to safely come down from the cliff.
Step 2: To solve this, we need to consider the constraints and rules provided.
Step 3: We can iterate through the moved out platforms and use logic to determine when to use a magic crystal.
Ste... | 00bf4702fa3f386dc162432119e5ac1757b0a799ac53793792a6988511d33950_1_1 | 65730a1adb78f2da8989ef10d6feddd1bb957151597557aef3c53ae2ffb77f9d |
Coding | codecontest | Write Python code to solve the task.
You are playing a game where your character should overcome different obstacles. The current problem is to come down from a cliff. The cliff has height h, and there is a moving platform on each height x from 1 to h.
Each platform is either hidden inside the cliff or moved out. At f... | Step 1: To solve this problem, we need to find the minimum number of magic crystals needed to safely land on the ground level.
Step 2: We can consider each query independently and determine the strategy to safely come down from the cliff based on the available platform heights.
Step 3: We can track the current heig... | d636719dd4b47ae19e7249b18ed2c42bdfd55ab8b10a884e9fe6abb63c6c0da1_1_1 | 65730a1adb78f2da8989ef10d6feddd1bb957151597557aef3c53ae2ffb77f9d |
Coding | codecontest | Write Python code to solve the task.
Guri and Prary are good friends and are chocolate lovers. They win a lottery and get a chance to visit ChocoLand for few minutes.
In ChocoLand, there are N number of chocolate containers kept one next to other, one unit apart. Each of the container contains Ki number of chocolates.... | Step 1: To solve this problem, we need to identify the pattern of operations involved in calculating the total number of chocolates collected by Guri and Prary. We also need to understand how the positions affect how many chocolates are collected i.e. how the positions are covered and how many chocolates are added bas... | 5a83dc69ac3e77d1f73c0f67f1fef2a3e987d3096332eae132158968570f8abf_1_1 | 60d0d87e8dd55ec22da8544732b11e27c67775b16360f25b0eb6d541d1dba740 |
Coding | codecontest | Write Python code to solve the task.
Guri and Prary are good friends and are chocolate lovers. They win a lottery and get a chance to visit ChocoLand for few minutes.
In ChocoLand, there are N number of chocolate containers kept one next to other, one unit apart. Each of the container contains Ki number of chocolates.... | Step 1: The problem requires calculating the total number of chocolates Guri and Prary collected by moving from their starting positions to ending positions.
Step 2: Initially, we need to parse the input values.
Step 3: Then, we can iterate over the queries and calculate the number of chocolates collected for each q... | 346361e1875082e9da0b2dfbb3f48df5b8b9339e8c3e94cb9d872e325a55d699_1_1 | 60d0d87e8dd55ec22da8544732b11e27c67775b16360f25b0eb6d541d1dba740 |
Coding | codecontest | Write Python code to solve the task.
Snuke is playing a puzzle game. In this game, you are given a rectangular board of dimensions R × C, filled with numbers. Each integer i from 1 through N is written twice, at the coordinates (x_{i,1},y_{i,1}) and (x_{i,2},y_{i,2}).
The objective is to draw a curve connecting the pa... | Step 1: To solve this problem, we can break it down into smaller steps. First, we need to process the input to create a map of points connected to their respective integers. Then we can use the map to determine if it's possible to connect the pairs of points for each integer without crossing each other or going outsid... | 74025cb201c790c05413833950d9a9e6948818d12e889478cbdf36155f841f9a_1_1 | 80258cfa5ae3c43a09c0a6d9c47171ffe143ccd9793d16f27c6ab73ee17d6603 |
Coding | codecontest | Write Python code to solve the task.
Snuke is playing a puzzle game. In this game, you are given a rectangular board of dimensions R × C, filled with numbers. Each integer i from 1 through N is written twice, at the coordinates (x_{i,1},y_{i,1}) and (x_{i,2},y_{i,2}).
The objective is to draw a curve connecting the pa... | Step 1: The objective is to determine whether it is possible to draw a curve connecting the pair of points where the same integer is written, for every integer from 1 through N, without going outside the board or crossing each other.
Step 2: We can take each pair of points and check if it is possible to draw a curve ... | 0baefee58f309c357aa1f2d4458cb33003755450f6dc42be28efd523632625b3_1_1 | 80258cfa5ae3c43a09c0a6d9c47171ffe143ccd9793d16f27c6ab73ee17d6603 |
Coding | codecontest | Write Python code to solve the task.
All space-time unified dimension sugoroku tournament. You are representing the Earth in the 21st century in the tournament, which decides only one Sugoroku absolute champion out of more than 500 trillion participants.
The challenge you are currently challenging is one-dimensional s... | Step 1: To approach this problem, we can start by understanding the layout of the game board and the effect of the squares on the gameplay.
Step 2: We need to consider the possibilities of moving forward, moving backward, and staying at the same position based on the given instructions.
Step 3: We will then use brea... | f7131999e0adab724926695befcc3b2013a48a0fd9e7146778ed090765aaedca_1_1 | ca280b28754e88fdf01001b7172f4120f5014cee926d4fef4c97ae3a9453de78 |
Coding | codecontest | Write Python code to solve the task.
All space-time unified dimension sugoroku tournament. You are representing the Earth in the 21st century in the tournament, which decides only one Sugoroku absolute champion out of more than 500 trillion participants.
The challenge you are currently challenging is one-dimensional s... | Step 1: To solve this problem, we need to create a way of tracking the path taken to avoid infinite loops
Step 2: We can possibly use a graph-like structure with nodes marking each square, including start and finish
Step 3: For each square with a special effect, we calculate the next position and store it
Step 4: W... | 79869d7814c2d68b5dcdbe4052f4e15c6e0b417e6cabcc6833654e2fc2e6f1b5_1_1 | ca280b28754e88fdf01001b7172f4120f5014cee926d4fef4c97ae3a9453de78 |
Coding | codecontest | Write Python code to solve the task.
Let's denote a m-free matrix as a binary (that is, consisting of only 1's and 0's) matrix such that every square submatrix of size m × m of this matrix contains at least one zero.
Consider the following problem:
You are given two integers n and m. You have to construct an m-free ... | Step 1: The problem asks us to construct an m-free square matrix of size n x n such that the number of 1's is maximum. This indicates that we're looking to maximize the number of 1's in the matrix, given the constraint of being m-free.
Step 2: To solve this, we need to find values of n and m such that the maximum num... | c1fa1845744694608e4b966f0ea9a7d7a8cd696d7d99b56bd056f7c959c66456_1_1 | 46110781d97c9432fdc63bbfb0eeb44915b7792fc955a69a7bf6c1d17e82c697 |
Coding | codecontest | Write Python code to solve the task.
Let's denote a m-free matrix as a binary (that is, consisting of only 1's and 0's) matrix such that every square submatrix of size m × m of this matrix contains at least one zero.
Consider the following problem:
You are given two integers n and m. You have to construct an m-free ... | Step 1: The problem requires constructing tests for finding the maximum number of 1's in a m-free n x n matrix, given the number of tests and the value of xi.
Step 2: To construct a solution, we need to iterate through each test value and determine ni and mi for the given xi. We should optimize the solution to find t... | b8fa28ca5da175ffe11256db81afafb7e4f9e64988c50c577f75e3bd19259422_1_1 | 46110781d97c9432fdc63bbfb0eeb44915b7792fc955a69a7bf6c1d17e82c697 |
Coding | codecontest | Write Python code to solve the task.
See Russian Translation
ZYX is a famous international-level linguistics and informatics competitor. He is the favorite to win this year's IOI competition.
Fifiman, another great coder in his own right, known as the "King of Algorithms", was unfortunately overshadowed by ZYX's outs... | Step 1: This problem requires determining which flights Fifiman will cancel in order to make ZYX's journey as inconvenient as possible so he is too tired to win the competition.
Step 2: We will use disjoint set data structure to determine which flights to cancel by keeping track of the direct flights between countrie... | 4660a606815caf3701b4765abfe24ae0f5f1c4691ba9ecdac76a2219eb25c179_1_1 | 4fe583ed11b51594b6e9a9971b5124f5931216479f48461e3d23a8d345125f33 |
Coding | codecontest | Write Python code to solve the task.
See Russian Translation
ZYX is a famous international-level linguistics and informatics competitor. He is the favorite to win this year's IOI competition.
Fifiman, another great coder in his own right, known as the "King of Algorithms", was unfortunately overshadowed by ZYX's outs... | Step 1: The problem is to determine which flights Fifiman should cancel in order to make ZYX's travel inconvenient while also being lexicographically minimal.
Step 2: To solve this problem, we need to determine the number of flights that Fifiman will cancel and then identify the indices of the flights he plans to can... | d19439b125897dab45bf08e72c41bff91988bba9a3fe3270555f01cbb65dc592_1_1 | 4fe583ed11b51594b6e9a9971b5124f5931216479f48461e3d23a8d345125f33 |
Coding | codecontest | Write Python code to solve the task.
Your mission in this problem is to write a computer program that manipulates molecular for- mulae in virtual chemistry. As in real chemistry, each molecular formula represents a molecule consisting of one or more atoms. However, it may not have chemical reality.
The following are t... | Step 1: The problem asks to create a program to calculate the weight of a molecular formula represented by a given sequence of atomic symbols. The molecular weight is defined as the sum of the weights of the constituent atoms, given the provided atomic weights.
Step 2: The input consists of two parts: Atomic Table an... | 9fdecedd82aa06e4ac4f0a2ca51185489d357e256af111a66e77f906ef47bbc2_1_1 | cd3c87d1f76bf805849b5a7b94876ac4f7934ac2ecfe5ac34e8118dc22bfb528 |
Coding | codecontest | Write Python code to solve the task.
Your mission in this problem is to write a computer program that manipulates molecular for- mulae in virtual chemistry. As in real chemistry, each molecular formula represents a molecule consisting of one or more atoms. However, it may not have chemical reality.
The following are t... | Step 1: The problem involves parsing and evaluating molecular formulae based on atomic weights.
Step 2: We need to define a dictionary to store the atomic weights of each element.
Step 3: Then, we parse each molecular formula and calculate its weight based on the provided atomic weights.
Step 4: If an atomic symbol... | 1e1c895d37fcc0638879e97f8d5dbabc954634f1ddf6afbfae60e85b93ac7041_1_1 | cd3c87d1f76bf805849b5a7b94876ac4f7934ac2ecfe5ac34e8118dc22bfb528 |
Coding | codecontest | Write Python code to solve the task.
This is an easier version of the next problem. In this version, q = 0.
A sequence of integers is called nice if its elements are arranged in blocks like in [3, 3, 3, 4, 1, 1]. Formally, if two elements are equal, everything in between must also be equal.
Let's define difficulty of... | Step 1: The problem requires us to find the difficulty of a sequence of integers and then update the difficulty of the sequence after every update.
Step 2: We need to keep track of the number of elements to change to get a nice sequence and apply the given updates accordingly.
Step 3: To do this, we can iterate thro... | b7973fdbb379fdc3809463f671920781e667967dfcf239eb95da572d50c43cd1_1_1 | a6a43a0a467967142dc00c020d8bb39ad24616684981d2869da76a4d4a00b1d9 |
Coding | codecontest | Write Python code to solve the task.
This is an easier version of the next problem. In this version, q = 0.
A sequence of integers is called nice if its elements are arranged in blocks like in [3, 3, 3, 4, 1, 1]. Formally, if two elements are equal, everything in between must also be equal.
Let's define difficulty of... | Step 1: The problem requires us to determine the difficulty of a sequence, which is defined as the minimum number of elements to change to get a "nice" sequence.
Step 2: A nice sequence is one where if two elements are equal, everything in between must also be equal.
Step 3: We need to consider the initial sequence ... | 1ba2cecdf1a19cdf0e50028e070e237ef579d1c7e9413af50e67a209e5db14d1_1_1 | a6a43a0a467967142dc00c020d8bb39ad24616684981d2869da76a4d4a00b1d9 |
Coding | codecontest | Write Python code to solve the task.
Your classmate, whom you do not like because he is boring, but whom you respect for his intellect, has two strings: s of length n and t of length m.
A sequence p_1, p_2, …, p_m, where 1 ≤ p_1 < p_2 < … < p_m ≤ n, is called beautiful, if s_{p_i} = t_i for all i from 1 to m. The widt... | Step 1: The problem asks for the maximum width of a beautiful sequence that matches the given strings s and t.
Step 2: To solve this problem, we need to find the positions of the matching characters for each element in t in s.
Step 3: Using these positions, we can calculate the width of beautiful sequences and find ... | 7fb49fd6428ba637dec2770e5c7a5c54a915b885db4d7ea8358977da4b1672a0_1_1 | e5141cac784e8f323ec632af91b6c7ab1aac50bd1f5ce36bcc1e82b5bcf83357 |
Coding | codecontest | Write Python code to solve the task.
Your classmate, whom you do not like because he is boring, but whom you respect for his intellect, has two strings: s of length n and t of length m.
A sequence p_1, p_2, …, p_m, where 1 ≤ p_1 < p_2 < … < p_m ≤ n, is called beautiful, if s_{p_i} = t_i for all i from 1 to m. The widt... | Step 1: The problem requires finding the beautiful sequence with the maximum width for the given strings s and t, with given lengths n and m.
Step 2: To solve this, we need to compare the positions of each character in s and t to find the maximum width beautiful sequence.
Step 3: We can iterate through the strings a... | b2d0c3ade05f10d1395c5bbee8c46b5c9825d4c509547211b2b1920f4ec7263e_1_1 | e5141cac784e8f323ec632af91b6c7ab1aac50bd1f5ce36bcc1e82b5bcf83357 |
Coding | codecontest | Write Python code to solve the task.
Danny, the local Math Maniac, is fascinated by circles, Omkar's most recent creation. Help him solve this circle problem!
You are given n nonnegative integers a_1, a_2, ..., a_n arranged in a circle, where n must be odd (ie. n-1 is divisible by 2). Formally, for all i such that 2 ≤... | Step 1: To solve this problem, we need to find the maximum possible circular value after applying some sequence of operations to the given circle.
Step 2: We will iterate through the circle and compute the maximum possible circular value after performing some sequence of operations.
Step 3: We will keep track of th... | aece787376f90ab811ab1543a417e868e00db7ee760907272c9898c2d80fa01a_1_1 | 1204582909d26b876e3229cb0f96c092b17e1129b99d1cadaee1daa76f892ade |
Coding | codecontest | Write Python code to solve the task.
Danny, the local Math Maniac, is fascinated by circles, Omkar's most recent creation. Help him solve this circle problem!
You are given n nonnegative integers a_1, a_2, ..., a_n arranged in a circle, where n must be odd (ie. n-1 is divisible by 2). Formally, for all i such that 2 ≤... | Step 1: The problem asks to find the maximum possible circular value after applying some sequence of operations to the given circle.
Step 2: To solve the problem, we need to carry out a sequence of operations on the given circle to find the maximum circular value.
Step 3: We also need to consider the different opera... | 181b307bf03f5e8a13fd7949ad1b0406d221dd82f3b08884d5418eb451dcb0e6_1_1 | 1204582909d26b876e3229cb0f96c092b17e1129b99d1cadaee1daa76f892ade |
Coding | codecontest | Write Python code to solve the task.
You are given two rectangles on a plane. The centers of both rectangles are located in the origin of coordinates (meaning the center of the rectangle's symmetry). The first rectangle's sides are parallel to the coordinate axes: the length of the side that is parallel to the Ox axis,... | Step 1: The problem requires finding the area of the region that belongs to both given rectangles, which are defined by their width, height, and an angle of rotation.
Step 2: The problem describes a frequency of right angles and trigonometric functions.
Step 3: The code seems to calculate the area of the intersecti... | 67b9dccd2e96e6840b62e841b35674fd47edfcc310996de1440917258579c096_1_1 | 473584f09b7c7a0d8e432b6906ef9e3926f32771aaee071f3a52f188b52628e6 |
Coding | codecontest | Write Python code to solve the task.
You are given two rectangles on a plane. The centers of both rectangles are located in the origin of coordinates (meaning the center of the rectangle's symmetry). The first rectangle's sides are parallel to the coordinate axes: the length of the side that is parallel to the Ox axis,... | Step 1: The problem is to find the area of the region that belongs to both given rectangles.
Step 2: To solve this, we can use trigonometric functions and formulas to calculate the area of the intersected region.
Step 3: We should start by converting the angle from degrees to radians.
Step 4: Then, based on the val... | afa1729ff9b7e6af461aaf623224f396d8382df619dc2bbb22e2b60fd4f1d581_1_1 | 473584f09b7c7a0d8e432b6906ef9e3926f32771aaee071f3a52f188b52628e6 |
Coding | codecontest | Write Python code to solve the task.
You are given string s consists of opening and closing brackets of four kinds <>, {}, [], (). There are two types of brackets: opening and closing. You can replace any bracket by another of the same type. For example, you can replace < by the bracket {, but you can't replace it by )... | Step 1: The problem requires us to determine the least number of replaces to make a given string a regular bracket sequence (RBS).
Step 2: To solve this, we can use a stack-based approach to track the opening and closing brackets and determine if the given string is an RBS.
Step 3: We need to iterate through the cha... | 6b509da6193bdb016c0b581596012e4c81e43c3334965793d80833cc67c09b1b_1_1 | 900c639d56b55bdc037ab76b995663dccb9f8b3d48bc96324242cb6fba6ca640 |
Coding | codecontest | Write Python code to solve the task.
You are given string s consists of opening and closing brackets of four kinds <>, {}, [], (). There are two types of brackets: opening and closing. You can replace any bracket by another of the same type. For example, you can replace < by the bracket {, but you can't replace it by )... | Step 1:
The problem is asking to determine the least number of replacements needed to make an input string a regular bracket sequence (RBS).
We can start by iterating through the input string and keeping track of opening and closing brackets.
We also need to handle cases where the input string cannot be converted to a... | d38119e73bd1007c08117eb63f55b9abb263e1c618351cc32197dadac6aee7ff_1_1 | 900c639d56b55bdc037ab76b995663dccb9f8b3d48bc96324242cb6fba6ca640 |
Coding | codecontest | Write Python code to solve the task.
Nauuo is a girl who loves playing cards.
One day she was playing cards but found that the cards were mixed with some empty ones.
There are n cards numbered from 1 to n, and they were mixed with another n empty cards. She piled up the 2n cards and drew n of them. The n cards in Nau... | Step 1: The task requires finding the minimum number of operations it will take to organize the n numbered cards in increasing order.
Step 2: To do this, the current cards of Nauuo and the remaining cards in the pile are given.
Step 3: We can analyze the situation step by step; after each operation, we check if the ... | 9ada7ef4e453f107806e5e6354074e484784dbf4a43e050f77c5e4487a9f4756_1_1 | 674a1787e26016de43c08738b6e82f9e3d84c1de3dca26ca2940b93f87cb576f |
Coding | codecontest | Write Python code to solve the task.
Nauuo is a girl who loves playing cards.
One day she was playing cards but found that the cards were mixed with some empty ones.
There are n cards numbered from 1 to n, and they were mixed with another n empty cards. She piled up the 2n cards and drew n of them. The n cards in Nau... | Step 1:
The problem requires finding the minimum number of operations to stack n numbered cards in increasing order. The operations involve choosing a card from Nauuo's hand and playing it (putting it at the bottom of the pile) then drawing the top card from the pile.
To solve this, we can start by defining helper fu... | 3ca12ab420057f88ecebfdbead2863234d517a7a53aa6ed3f97790254914c8b6_1_1 | 674a1787e26016de43c08738b6e82f9e3d84c1de3dca26ca2940b93f87cb576f |
Coding | codecontest | Write Python code to solve the task.
Vladimir would like to prepare a present for his wife: they have an anniversary! He decided to buy her exactly n flowers.
Vladimir went to a flower shop, and he was amazed to see that there are m types of flowers being sold there, and there is unlimited supply of flowers of each ty... | Step 1: To solve this problem, we need to find an optimal arrangement of flowers to maximize the happiness of Vladimir's wife.
Step 2: We can start by sorting the available types of flowers based on a_i and b_i.
Step 3: Then, we can iterate through the sorted types of flowers and calculate the total happiness for ea... | 002876f5827fb461c3e552c8e304f842f220ded24371bfdaf558c42e5a658131_1_1 | b5bc4cfea5c106ee38586276d881d6abda7e5a50cbce19bb2872ac3c939005f8 |
Coding | codecontest | Write Python code to solve the task.
Vladimir would like to prepare a present for his wife: they have an anniversary! He decided to buy her exactly n flowers.
Vladimir went to a flower shop, and he was amazed to see that there are m types of flowers being sold there, and there is unlimited supply of flowers of each ty... | Step 1: This problem involves optimizing the happiness of Vladimir's wife by choosing exactly n flowers from m types of available flowers.
Step 2: We can solve this problem using a greedy algorithm and iterate through the available types of flowers. For each type, we can calculate the total happiness obtained by cho... | 2ca6e5587ad3eead3a07d224f37ea868bc64d20598a457639160e7fc42d28332_1_1 | b5bc4cfea5c106ee38586276d881d6abda7e5a50cbce19bb2872ac3c939005f8 |
Coding | codecontest | Write Python code to solve the task.
There are n persons located on a plane. The i-th person is located at the point (x_i, y_i) and initially looks at the point (u_i, v_i).
At the same moment of time, all persons will start to rotate clockwise synchronously with the same angular speed. They will rotate until they do o... | Step 1:
The problem seems to require a lot of geometric calculations and handling a large number of test cases efficiently. The given solution uses a class to handle points and vectors, as well as various mathematical functions from the math and fractions modules.
We need to understand how the Point class is being use... | 80b5137827bb463f59220f66c617399a848dcbaa6c9a60120a3dd369ed174c4e_1_1 | 00d60742815f292d2437cec308b8e9a50253d03675e92764b44a355c52240d1f |
Coding | codecontest | Write Python code to solve the task.
There are n persons located on a plane. The i-th person is located at the point (x_i, y_i) and initially looks at the point (u_i, v_i).
At the same moment of time, all persons will start to rotate clockwise synchronously with the same angular speed. They will rotate until they do o... | Step 1: To solve this problem, we need to calculate the direction vector for each person based on their initial position and the point they are looking at.
Step 2: We can use the concept of direction vector to identify pairs of persons that will make eye contact at least once during the rotation.
Step 3: We'll itera... | a0f15e0aa9adab78f47732c2e5fcec64f0e62c3c5ad945cd537e47330b48940e_1_1 | 00d60742815f292d2437cec308b8e9a50253d03675e92764b44a355c52240d1f |
Coding | codecontest | Write Python code to solve the task.
Furik and Rubik love playing computer games. Furik has recently found a new game that greatly interested Rubik. The game consists of n parts and to complete each part a player may probably need to complete some other ones. We know that the game can be fully completed, that is, its p... | Step 1: To solve this problem, we need to find the minimum number of hours Rubik needs to complete all parts of the game, given the set of actions he can perform for each game part.
Step 2: We need to model the problem using the given input and define a function that will update the finish set and count the number of... | 41a0f32ebfeb309090917a5e43eb75623ad482dc50d5e82051f2edc6a72dfe1a_1_1 | bfcc83571cdd2387922d206d96f24fbd5d328a23725a680a9b415b5c7e54aa20 |
Coding | codecontest | Write Python code to solve the task.
Furik and Rubik love playing computer games. Furik has recently found a new game that greatly interested Rubik. The game consists of n parts and to complete each part a player may probably need to complete some other ones. We know that the game can be fully completed, that is, its p... | Step 1: The problem asks us to determine the minimum number of hours Rubik (player) will need to complete all parts of the game on 3 different computers.
Step 2: We can approach this problem using a greedy strategy to move between the computers and complete the parts efficiently.
Step 3: First, we need to organize t... | fbb56570ca75318bdaddf018519ff27131676d7317550856dba492d2e5b041bd_1_1 | bfcc83571cdd2387922d206d96f24fbd5d328a23725a680a9b415b5c7e54aa20 |
Coding | codecontest | Write Python code to solve the task.
In a building where Polycarp lives there are equal number of flats on each floor. Unfortunately, Polycarp don't remember how many flats are on each floor, but he remembers that the flats are numbered from 1 from lower to upper floors. That is, the first several flats are on the firs... | Step 1: The problem requires us to determine if it is possible to restore the exact floor for flat n based on the available information about the flats' locations.
Step 2: To solve this problem, we need to analyze the given information to calculate the possible range of floors for flat n.
Step 3: We then need to det... | aa875088f3a16d9de56f05c30fe3b871b7b32ab467bd5a101b0fbc2391aea67d_1_1 | 430ffd3e752a25bc4819f1ff53901b95029e935cefbc9fcdabfa95f4add6ab14 |
Coding | codecontest | Write Python code to solve the task.
In a building where Polycarp lives there are equal number of flats on each floor. Unfortunately, Polycarp don't remember how many flats are on each floor, but he remembers that the flats are numbered from 1 from lower to upper floors. That is, the first several flats are on the firs... | Step 1: To solve this problem, we need to analyze Polycarp's memory to determine the number of flats on each floor.
Step 2: We can iterate through possible numbers of flats on each floor and check the validity of the given information by looping through each flat in Polycarp's memory.
Step 3: If we find a valid numb... | e8c6170ac7ea975fd57e779fc5619b46a882af0cd134276cc683404cc013abae_1_1 | 430ffd3e752a25bc4819f1ff53901b95029e935cefbc9fcdabfa95f4add6ab14 |
Coding | codecontest | Write Python code to solve the task.
A taxi driver, Nakamura, was so delighted because he got a passenger who wanted to go to a city thousands of kilometers away. However, he had a problem. As you may know, most taxis in Japan run on liquefied petroleum gas (LPG) because it is cheaper than gasoline. There are more than... | Step 1: The problem requires calculating the length of the shortest possible journey from the current city to the destination city. This can be solved using the Dijkstra algorithm, which is a popular algorithm for finding the shortest path from a source vertex to all other vertices in a weighted graph.
Step 2: For ea... | 89e9c81bf8e0cf6c90842cb2233fcf38fed7c7ac7d2e237a50258d46eabfaf83_1_1 | 0ba3b70fc658c9e614d0af7370fcbf3dae37aae2c44c1770ebb4f6d24eb62ebd |
Coding | codecontest | Write Python code to solve the task.
A taxi driver, Nakamura, was so delighted because he got a passenger who wanted to go to a city thousands of kilometers away. However, he had a problem. As you may know, most taxis in Japan run on liquefied petroleum gas (LPG) because it is cheaper than gasoline. There are more than... | Step 1: The problem requires finding the shortest possible journey from the current city to the destination city without running out of gas.
Step 2: We'll use Dijkstra's algorithm to find the shortest path from the current city to the destination city, taking into account the capacity of the gas tank and the presence... | b5b01b0fd770d8626c649145aba2539d03cb273fa58fbc90f5c5e171604ebc25_1_1 | 0ba3b70fc658c9e614d0af7370fcbf3dae37aae2c44c1770ebb4f6d24eb62ebd |
Coding | codecontest | Write Python code to solve the task.
Petya loves lucky numbers. We all know that lucky numbers are the positive integers whose decimal representations contain only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Petya and his friend Vasya play an interesting game. Petya rand... | Step 1: To solve this problem, we need to calculate the probability that the interval [min(v, p), max(v, p)] contains exactly k lucky numbers.
Step 2: We can start by generating a list of lucky numbers with the given range and then sort it.
Step 3: Afterwards, we can use the sorted list of lucky numbers to calculate... | 0a1bdbb6e56374aa9ce7e84e2e032171e3f8bf27f94fb0e45ffbb652e747b3b0_1_1 | 2e51d5f5b31cdb5d9f39dd0d927d290358753474c1a6a41cdbc2a355de2a1f2d |
Coding | codecontest | Write Python code to solve the task.
Petya loves lucky numbers. We all know that lucky numbers are the positive integers whose decimal representations contain only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Petya and his friend Vasya play an interesting game. Petya rand... | Step 1: To solve this problem, we can generate a list of lucky numbers within the given intervals, and then calculate the probability that the interval [min(v, p), max(v, p)] contains exactly k lucky numbers.
Step 2: We need to consider the probabilities of different combinations of lucky numbers for Petya and Vasya'... | 554b6b806353cbf7e1fae6349aedeea8fa2b7b8a01c45df79c710237399b3556_1_1 | 2e51d5f5b31cdb5d9f39dd0d927d290358753474c1a6a41cdbc2a355de2a1f2d |
Coding | codecontest | Write Python code to solve the task.
There are n lights aligned in a row. These lights are numbered 1 to n from left to right. Initially some of the lights are switched on. Shaass wants to switch all the lights on. At each step he can switch a light on (this light should be switched off at that moment) if there's at le... | Step 1: We need to figure out the number of different ways to switch on all the lights given their initial arrangement.
Step 2: We can break down the problem into smaller steps. We can first determine the number of different "gaps" or lengths between the initial switched on lights. This will help us compute the numbe... | 6d4c85cb8fd4e38bd8673c4c5ace1bcc5fa4c6fb9afdaade05c29ddb8020cebc_1_1 | 213c5501ea0f367e4acbc353d09bc119a33410d696d684d8e928ba948330d428 |
Coding | codecontest | Write Python code to solve the task.
There are n lights aligned in a row. These lights are numbered 1 to n from left to right. Initially some of the lights are switched on. Shaass wants to switch all the lights on. At each step he can switch a light on (this light should be switched off at that moment) if there's at le... | Step 1: The problem requires finding the number of different possible ways to switch on all the lights given the initial state of the lights.
Step 2: It's asking to calculate modulo 1000000007 which suggests that we need to keep track of the computation so that it doesn't exceed this number.
Step 3: The solution see... | 94b499e86b7497632ad2f343bdfc4056ba4707307d824629710983bda17230da_1_1 | 213c5501ea0f367e4acbc353d09bc119a33410d696d684d8e928ba948330d428 |
Coding | codecontest | Write Python code to solve the task.
<image>
Input
The input contains a single floating-point number x with exactly 6 decimal places (0 < x < 5).
Output
Output two integers separated by a single space. Each integer should be between 1 and 10, inclusive. If several solutions exist, output any of them. Solution will ... | Step 1: The problem requires writing a function to find two integers, a and h, such that a and h are between 1 and 10, and the equation abs(float((a*h)**2)/(4*h*h+a*a)-x*x)<1e-5 is satisfied.
Step 2: We need to loop through all possible values of a and h from 1 to 10 and check if the equation is satisfied for each co... | c8c01cc981f135c4d2928e2268c5ab082c8c6fe28688c87a4eb10b49b488f9ca_1_1 | 70ca9f03e8e23579087565ed11948fb328757193c162e07c6d9041617899c848 |
Coding | codecontest | Write Python code to solve the task.
<image>
Input
The input contains a single floating-point number x with exactly 6 decimal places (0 < x < 5).
Output
Output two integers separated by a single space. Each integer should be between 1 and 10, inclusive. If several solutions exist, output any of them. Solution will ... | Step 1: To solve this problem, we need to find two integers a and h such that the given condition holds for a given floating-point number x.
Step 2: We need to iterate through possible values of a and h to find the pair that satisfies the condition.
Step 3: Once we find a pair that satisfies the condition, we output... | 1fe391e3838ac72acac333f67fb57a662e9a784f418bd27fd48bf43bd4906502_1_1 | 70ca9f03e8e23579087565ed11948fb328757193c162e07c6d9041617899c848 |
Coding | codecontest | Write Python code to solve the task.
ATMs of a well-known bank of a small country are arranged so that they can not give any amount of money requested by the user. Due to the limited size of the bill dispenser (the device that is directly giving money from an ATM) and some peculiarities of the ATM structure, you can ge... | Step 1: The problem describes a situation where there are multiple denominations of bills and the maximum number of bills that can be dispensed is given.
Step 2: The goal is to determine whether the ATM can retrieve the desired amount of money or -1 if it's not possible. If the ATM can retrieve the amount, then retur... | e94f6b445e3d5f4fe4151fe0565d2d16765d67bffbaafe7118759c7d8e345ff9_1_1 | 343170351d447435f146797e9b0b73e984f8cf38eb09e75360e16ab74b746264 |
Coding | codecontest | Write Python code to solve the task.
ATMs of a well-known bank of a small country are arranged so that they can not give any amount of money requested by the user. Due to the limited size of the bill dispenser (the device that is directly giving money from an ATM) and some peculiarities of the ATM structure, you can ge... | Step 1: This problem requires us to determine the minimum number of bills required to withdraw a given sum of money from an ATM with limitations on the number of bills and denominations.
Step 2: We need to consider the denominations of the bills, the maximum number of bills that can be withdrawn, and the amount of ca... | 1a5a4de90c00e7b77fd904635cc539365c1261b8cca0a71a0b061e7129c331f1_1_1 | 343170351d447435f146797e9b0b73e984f8cf38eb09e75360e16ab74b746264 |
Coding | codecontest | Write Python code to solve the task.
After solving Reese's first problem Harold thought he had proven himself. But Reese wasn't convinced so he gave Harold another query. He told Harold to find the nth term of the sequence given by the equation.
a[n]=( f[n] + g[n] ) % n
where, f[n] = f[n-1] + x(n) ; where x(n) = sm... | Step 1: The problem requires us to calculate the nth term of a sequence using given recursive equations.
Step 2: We need to implement functions to calculate the smallest prime factor of a number x(n) and the summation of all numbers p less than n which follow n % p == 0 as y(n).
Step 3: We have predefined x(0) = x(1... | e5c3c293b93dec412fd42cea3f70a71aa5402cad0aecdefb21c15fd79232e995_1_1 | b00dfb9a2f22ca7f0702cdf72a0b751261999d673d79e99fe30388adc9f06f86 |
Coding | codecontest | Write Python code to solve the task.
After solving Reese's first problem Harold thought he had proven himself. But Reese wasn't convinced so he gave Harold another query. He told Harold to find the nth term of the sequence given by the equation.
a[n]=( f[n] + g[n] ) % n
where, f[n] = f[n-1] + x(n) ; where x(n) = sm... | Step 1: We need to find the nth term of the sequence given by the equation.
Step 2: The sequence depends on the values of f[n], g[n], x(n), and y(n).
Step 3: We are provided with the initial values for x and y and need to use them to calculate f[n] and g[n].
Step 4: One approach is to precompute the values of f[n]... | 27c9d22513562da0db17e8a4aa296bf12d5aadb14b318f9a9eefa847b2581fb8_1_1 | b00dfb9a2f22ca7f0702cdf72a0b751261999d673d79e99fe30388adc9f06f86 |
Coding | codecontest | Write Python code to solve the task.
Recently, the Fair Nut has written k strings of length n, consisting of letters "a" and "b". He calculated c — the number of strings that are prefixes of at least one of the written strings. Every string was counted only one time.
Then, he lost his sheet with strings. He remembers ... | Step 1: The problem is asking us to find the maximal value of c, which represents the number of strings that are prefixes of at least one of the written strings.
Step 2: To solve this, we need to calculate the maximum value of c under the given constraints that the written strings are lexicographically not smaller th... | 0d4b4994f1ab2da8ab882b777074923e6d27fd9b57faa87d083e534b58d65bbc_1_1 | 7869475f3783e658f1f2a7044d17d9cc112b512533ac4265e5e00cbe08706b63 |
Coding | codecontest | Write Python code to solve the task.
Recently, the Fair Nut has written k strings of length n, consisting of letters "a" and "b". He calculated c — the number of strings that are prefixes of at least one of the written strings. Every string was counted only one time.
Then, he lost his sheet with strings. He remembers ... | Step 1: To solve this problem, we need to find the maximum value of c, which represents the number of strings that are prefixes of at least one of the written strings, within certain constraints.
Step 2: We need to consider the strings written by the Fair Nut and determine the maximum value of c based on lexicographi... | c0a12ddd376df386dab17ee6869593b95ea2e92d215499bf4dd1f80c3a61dea8_1_1 | 7869475f3783e658f1f2a7044d17d9cc112b512533ac4265e5e00cbe08706b63 |
Coding | codecontest | Write Python code to solve the task.
The academic year has just begun, but lessons and olympiads have already occupied all the free time. It is not a surprise that today Olga fell asleep on the Literature. She had a dream in which she was on a stairs.
The stairs consists of n steps. The steps are numbered from bottom... | Step 1: To solve this problem, we need to determine the total duration of Olga's dream if she was at each step at the beginning of the dream.
Step 2: We can initially check the directions of the pointers and create separate lists for steps with 'D' pointers pointing down and 'U' pointers pointing up.
Step 3: After ... | 5ee781c6fc166e712c6e67df9e6e79a676acf143b192e52261d1b2e8a6abdbdf_1_1 | 05c7731078299cc11e7d838f6147e5e002cb6ab09fd48ddaba5d603f08ceef66 |
Coding | codecontest | Write Python code to solve the task.
The academic year has just begun, but lessons and olympiads have already occupied all the free time. It is not a surprise that today Olga fell asleep on the Literature. She had a dream in which she was on a stairs.
The stairs consists of n steps. The steps are numbered from bottom... | Step 1:
The problem is to find the duration of Olga's dream for each step based on the direction of the pointer above each step (U for up and D for down). We need to calculate the duration of the dream if Olga was at this step at the beginning of the dream. We also need to consider the possible scenario where Olga nev... | c814382fb0e11fad0f7025b15b7d22dc62b6c7cbe256ad0c217750dab3a08d63_1_1 | 05c7731078299cc11e7d838f6147e5e002cb6ab09fd48ddaba5d603f08ceef66 |
Coding | codecontest | Write Python code to solve the task.
You have an array of positive integers a[1], a[2], ..., a[n] and a set of bad prime numbers b1, b2, ..., bm. The prime numbers that do not occur in the set b are considered good. The beauty of array a is the sum <image>, where function f(s) is determined as follows:
* f(1) = 0;
... | Step 1: To solve this problem, we need to calculate the maximum beauty of the proposed array.
Step 2: Firstly, we need to determine the lowest prime divisor of the number.
Step 3: We want to define a function to calculate the beauty of an integer based on the conditions of the problem.
Step 4: We then need to ca... | 04299b75e718eb816c624658ff7b7a1650aea992cf9e1af1052a9bff2f69db3c_1_1 | 3a7e3215dd7e5d40e690059ec31fb51d6962cdc0c26d0f910225ba8ec28e36b1 |
Coding | codecontest | Write Python code to solve the task.
You have an array of positive integers a[1], a[2], ..., a[n] and a set of bad prime numbers b1, b2, ..., bm. The prime numbers that do not occur in the set b are considered good. The beauty of array a is the sum <image>, where function f(s) is determined as follows:
* f(1) = 0;
... | Step 1: The problem requires finding the maximum beauty of the array obtained from performing a sequence of improvement operations.
Step 2: We need to calculate the GCD of subarrays up to 'r' elements and perform operations to minimize the values and count the occurrences of bad primes.
Step 3: It seems we need to u... | 6bb1d351f553b5a31a83815f362aca5c3335b9fc2e00f2e4cfa13de1d0907b1a_1_1 | 3a7e3215dd7e5d40e690059ec31fb51d6962cdc0c26d0f910225ba8ec28e36b1 |
Coding | codecontest | Write Python code to solve the task.
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 bits. Then he asks Peter to c... | Step 1: The problem presents a game involving integer bitwise operations and seeks to find the minimum and maximum possible scores based on the number chosen.
Step 2: We can start by analyzing the input variables and the bitwise operations performed on them to create sum_min and sum_max.
Step 3: Then, we can determi... | f5bc7189f91aa2272bb5d846ba6c2427806308fe02072e1df1fbb4e847080b54_1_1 | e7393f9de37b949509d98261f7ee830870730ee73f609d8b38e3795a184a3076 |
Coding | codecontest | Write Python code to solve the task.
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 bits. Then he asks Peter to c... | Step 1: The task involves calculating the minimum and maximum possible score for Peter in a bitwise operations game invented by Bob.
Step 2: To solve this problem, we first need to parse the input and store the variable definitions in a suitable data structure, like a list or dictionary.
Step 3: Then, we need to cal... | 57b86831e1627f34c4a20033e2f3d9f4db5f8de9927e0e6f4dbb7dfb4416475e_1_1 | e7393f9de37b949509d98261f7ee830870730ee73f609d8b38e3795a184a3076 |
Coding | codecontest | Write Python code to solve the task.
Arkady needs your help again! This time he decided to build his own high-speed Internet exchange point. It should consist of n nodes connected with minimum possible number of wires into one network (a wire directly connects two nodes). Exactly k of the nodes should be exit-nodes, th... | Step 1: The problem involves creating a network of nodes with specific exit-node requirements. We need to minimize the maximum distance between exit-nodes while connecting all nodes with a minimum number of wires.
Step 2: To solve this problem, we start by finding an optimal way to connect the exit-nodes such that th... | fee2d4378ecdd11d42b9bbdddba635d6b8355db5029fb563737bfdad60a59879_1_1 | 21d6fa7446cdb228f4f53b151d04a6f086c14a00c0d3b0d897c178e1a704d899 |
Coding | codecontest | Write Python code to solve the task.
Arkady needs your help again! This time he decided to build his own high-speed Internet exchange point. It should consist of n nodes connected with minimum possible number of wires into one network (a wire directly connects two nodes). Exactly k of the nodes should be exit-nodes, th... | Step 1: The task requires us to build a network of n nodes connected with the minimum possible number of wires into one network with k exit-nodes.
Step 2: The system should be as fast as possible, so we should minimize the maximum distance between two exit-nodes.
Step 3: The maximum distance between two exit-nodes o... | 48775cda45ca14e2a7ffbc089912696e5ebafe3dfd133b16bc15e0bf79fdcce8_1_1 | 21d6fa7446cdb228f4f53b151d04a6f086c14a00c0d3b0d897c178e1a704d899 |
Coding | codecontest | Write Python code to solve the task.
Connect the countless points with lines, till we reach the faraway yonder.
There are n points on a coordinate plane, the i-th of which being (i, yi).
Determine whether it's possible to draw two parallel and non-overlapping lines, such that every point in the set lies on exactly on... | Step 1: To solve this problem, we first need to understand the conditions for drawing two parallel and non-overlapping lines such that every point on the coordinate plane lies on exactly one of them.
Step 2: We can start by processing the input to obtain the vertical coordinates of each point and then check the condi... | cfe419e1f021389a6918c124435086445a7502dc9518eed43943f86041844a93_1_1 | f4e6e1d2cf2a0674e93fafdc0bcbb0592edf9bad9f7992bdcd6d1a9dc00d0011 |
Coding | codecontest | Write Python code to solve the task.
Connect the countless points with lines, till we reach the faraway yonder.
There are n points on a coordinate plane, the i-th of which being (i, yi).
Determine whether it's possible to draw two parallel and non-overlapping lines, such that every point in the set lies on exactly on... | Step 1: To solve this problem, we need to determine if it's possible to draw two parallel and non-overlapping lines such that every point lies on exactly one of them.
Step 2: We can start by checking if the first 3 points overlap, indicating that they all lie on the same line. If they do, we can continue checking the... | 297ad0e95a1c8a8ccbf753c60cf07b99c4550be82030eb1e19dc375f341b30f8_1_1 | f4e6e1d2cf2a0674e93fafdc0bcbb0592edf9bad9f7992bdcd6d1a9dc00d0011 |
Coding | codecontest | Write Python code to solve the task.
Unfortunately someone has come and eaten the problem statement. Are you good enough to solve it without the statement?
Input
The first line contains T denoting the number of test cases.
The next T lines describe test cases and contain two integers each: N and M.
Output
For each t... | Step 1: The problem seems to involve some calculations based on the given input values N and M.
Step 2: As per the given input-output samples, it appears that there is a relationship between the integers N and M.
Step 3: The provided code is iterating through test cases and performing calculations:
Step 4: for ... | 372c1d4b59a75abb3092bac0f6095cce8059426aabb726b92733cbeb1f8035c7_1_1 | b08427619b23c5059fd8c0cb3bb4af9a2851b10fb12b44e81758d866158e7281 |
Coding | codecontest | Write Python code to solve the task.
Unfortunately someone has come and eaten the problem statement. Are you good enough to solve it without the statement?
Input
The first line contains T denoting the number of test cases.
The next T lines describe test cases and contain two integers each: N and M.
Output
For each t... | Step 1: This problem seems to involve iterating through a sequence of numbers and performing some operations on them.
Step 2: We will start by iterating through each test case and parsing the input to obtain the values of N and M.
Step 3: Then, we need to perform a sequence of operations based on the value of M and ... | f0999ec227620b4f5fbff410401e6a30818be61cdf7d5bf30d6352f38d1a5567_1_1 | b08427619b23c5059fd8c0cb3bb4af9a2851b10fb12b44e81758d866158e7281 |
Coding | codecontest | Write Python code to solve the task.
You are given a tree (an undirected connected acyclic graph) consisting of n vertices and n - 1 edges. A number is written on each edge, each number is either 0 (let's call such edges 0-edges) or 1 (those are 1-edges).
Let's call an ordered pair of vertices (x, y) (x ≠ y) valid if,... | Step 1: The problem requires us to find the number of valid pairs of vertices in a tree.
Step 2: We can approach this problem by using disjoint set union (DSU) to track the sizes of valid pairs of vertices for 0-edges and 1-edges.
Step 3: We also need to track the sizes of pairs of vertices to handle the relations a... | 70ce73402cafa50afd8945011b0b34372965b5dccc7e71d1c4796f99a80fee6b_1_1 | 9c9853c7ff950adde642bc0d10f9c7e8b883d522395c9621ae05a2946bcbf055 |
Coding | codecontest | Write Python code to solve the task.
You are given a tree (an undirected connected acyclic graph) consisting of n vertices and n - 1 edges. A number is written on each edge, each number is either 0 (let's call such edges 0-edges) or 1 (those are 1-edges).
Let's call an ordered pair of vertices (x, y) (x ≠ y) valid if,... | Step 1: The problem requires us to count the valid pairs of vertices in a tree (undirected connected acyclic graph).
Step 2: A valid pair of vertices is such that, while traversing the simple path between them, we never encounter a 0-edge following a 1-edge.
Step 3: We can solve this problem by using a union-find ap... | 77837983ccfca4414fe2955c56346e9dee0a2b19e9dd9196ae3eab598860c908_1_1 | 9c9853c7ff950adde642bc0d10f9c7e8b883d522395c9621ae05a2946bcbf055 |
Coding | codecontest | Write Python code to solve the task.
New Year is coming! Vasya has prepared a New Year's verse and wants to recite it in front of Santa Claus.
Vasya's verse contains n parts. It takes a_i seconds to recite the i-th part. Vasya can't change the order of parts in the verse: firstly he recites the part which takes a_1 se... | Step 1: The solution should start by processing the input, which includes reading the number of test cases and the values for each test case.
Step 2: Then, for each test case, we need to calculate the number of the part that Vasya needs to skip to obtain the maximum number of gifts based on the time it takes to recit... | 4b84f1875f2a725edb3d185db7cab449e7572f7c272676a5bfc5e9328fc7e74d_1_1 | f71d5f5dead09ebb0a30e09ad582d5e04fff87c8215785c3b8a8a6000654e38a |
Coding | codecontest | Write Python code to solve the task.
New Year is coming! Vasya has prepared a New Year's verse and wants to recite it in front of Santa Claus.
Vasya's verse contains n parts. It takes a_i seconds to recite the i-th part. Vasya can't change the order of parts in the verse: firstly he recites the part which takes a_1 se... | Step 1: The problem requires us to get the maximum number of gifts Vasya can obtain by reciting the verse and skipping at most one part of the verse.
Step 2: To do this, we need to iterate through the parts of the verse while keeping track of the accumulated time.
Step 3: We then need to determine if skipping a part... | c5b31a584bdf959c1873f61acfb85606c985454f50f5bacdb9eb982741cbe970_1_1 | f71d5f5dead09ebb0a30e09ad582d5e04fff87c8215785c3b8a8a6000654e38a |
Coding | codecontest | Write Python code to solve the task.
Vasya and Petya take part in a Codeforces round. The round lasts for two hours and contains five problems.
For this round the dynamic problem scoring is used. If you were lucky not to participate in any Codeforces round with dynamic problem scoring, here is what it means. The maxim... | Step 1: The function solve will take the inputs and try to find the smallest number of new accounts Vasya needs in order to beat Petya.
Step 2: It first calculates the score for both Petya and Vasya for each problem using the score function and then calculates the point difference between Vasya and Petya.
Step 3: If... | f9ee227977340e4f3f615cadb374fcfc4e5e450686763e3eda4d602617288a9c_1_1 | 1518519cdd3d0a6cd796871681814228a632547f582418981d4079e937f9a2fa |
Coding | codecontest | Write Python code to solve the task.
Vasya and Petya take part in a Codeforces round. The round lasts for two hours and contains five problems.
For this round the dynamic problem scoring is used. If you were lucky not to participate in any Codeforces round with dynamic problem scoring, here is what it means. The maxim... | Step 1:
The problem requires finding the smallest number of new accounts Vasya needs in order to beat Petya, based on the dynamics of problem scoring during a Codeforces round. Vasya's goal is to submit solutions from new accounts in order to change the maximum point values of the problems to achieve a higher score th... | c259ca856042a058637c542c9ee496f193d849bb0059bde56f6483fde879ea1a_1_1 | 1518519cdd3d0a6cd796871681814228a632547f582418981d4079e937f9a2fa |
Coding | codecontest | Write Python code to solve the task.
Let's call an array a consisting of n positive (greater than 0) integers beautiful if the following condition is held for every i from 1 to n: either a_i = 1, or at least one of the numbers a_i - 1 and a_i - 2 exists in the array as well.
For example:
* the array [5, 3, 1] is b... | Step 1: The problem requires finding a beautiful array of minimum size with the sum of elements equal to s.
Step 2: To solve this problem, we can iteratively construct the beautiful array while maintaining the sum of its elements.
Step 3: We start with a single element array with value 1, and then we iteratively add... | 31e07ef35ff32e1c1dc0e7368fa0ccca9c9bae9afbbbac68c7975402fc50cde4_1_1 | a82d94b145d7089b905968d068a658e27c3df82a3fd2972f4cc25a2fc2e37943 |
Coding | codecontest | Write Python code to solve the task.
Let's call an array a consisting of n positive (greater than 0) integers beautiful if the following condition is held for every i from 1 to n: either a_i = 1, or at least one of the numbers a_i - 1 and a_i - 2 exists in the array as well.
For example:
* the array [5, 3, 1] is b... | Step 1: The problem requires finding the minimum possible size of a beautiful array with the sum of elements equal to s.
Step 2: We can start by generating the beautiful array based on the conditions provided and calculating the size of the beautiful array with the given sum of elements.
Step 3: We can implement a f... | b3faedf835c251f6a3b319a9c704e3f752d05d639656b28f82606e8f48444288_1_1 | a82d94b145d7089b905968d068a658e27c3df82a3fd2972f4cc25a2fc2e37943 |
Coding | codecontest | Write Python code to solve the task.
Vasily the bear has got a sequence of positive integers a1, a2, ..., an. Vasily the Bear wants to write out several numbers on a piece of paper so that the beauty of the numbers he wrote out was maximum.
The beauty of the written out numbers b1, b2, ..., bk is such maximum non-neg... | Step 1: The problem requires finding the maximum non-negative integer v for which a selected group of numbers have "b1 and b2 and ... and bk" divisible by 2v without a remainder.
Step 2: We need to iterate over the bits of v from the 31st to 0th to find the maximum possible value for v.
Step 3: We then collect all o... | bc776b7981c1f10e5fbc7422f8ad48c3b5c55d27e828309ae66129b0e482715e_1_1 | b7d129464ef7d54a976e6883500267893c2d3b5614faaad0ef5329e192d06f97 |
Coding | codecontest | Write Python code to solve the task.
Vasily the bear has got a sequence of positive integers a1, a2, ..., an. Vasily the Bear wants to write out several numbers on a piece of paper so that the beauty of the numbers he wrote out was maximum.
The beauty of the written out numbers b1, b2, ..., bk is such maximum non-neg... | Step 1: To solve this problem, we need to find a sequence of positive integers with maximum beauty. The beauty of the numbers is related to their divisibility by a power of 2.
Step 2: We can start by understanding the bitwise AND operation and its relationship to the division by a power of 2.
Step 3: We need to iter... | 69784c5ce7a95006f6c8ef2ec186b5182bc351c08db441b8f282199b5742cdd5_1_1 | b7d129464ef7d54a976e6883500267893c2d3b5614faaad0ef5329e192d06f97 |
Coding | codecontest | Write Python code to solve the task.
Vasya is a Greencode wildlife preservation society proponent. One day he found an empty field nobody owned, divided it into n × m squares and decided to plant a forest there. Vasya will plant nm trees of all different heights from 1 to nm. For his forest to look more natural he want... | Step 1: The problem provides the number of rows and columns of Vasya's field and requires us to plan the forest planting so that neighboring trees have a height difference of more than 1.
Step 2: First, we need to check if there is a solution for the given dimensions of the field.
Step 3: Then, we need to generate a... | 052f32b9f7ffd580872e23fe79b0f97d188cea37cccb3bafbfd8b73c15c0b017_1_1 | ef84564be2c5c90562b51d59327a647f13315b7d93254e984635a98066b24e2e |
Coding | codecontest | Write Python code to solve the task.
Vasya is a Greencode wildlife preservation society proponent. One day he found an empty field nobody owned, divided it into n × m squares and decided to plant a forest there. Vasya will plant nm trees of all different heights from 1 to nm. For his forest to look more natural he want... | Step 1: The problem involves finding a planting plan for an n x m grid such that the absolute difference in heights of neighboring trees is strictly more than 1.
Step 2: To solve this, we need to check if a valid planting plan is possible or not, and if so, we need to generate and print the planting plan.
Step 3: We... | 4e9d7ad207ce2b059b28aec676f7fbccb217ab9dceb0ac38bd2b585040e6c4e1_1_1 | ef84564be2c5c90562b51d59327a647f13315b7d93254e984635a98066b24e2e |
Coding | codecontest | Write Python code to solve the task.
Mary has just graduated from one well-known University and is now attending celebration party. Students like to dream of a beautiful life, so they used champagne glasses to construct a small pyramid. The height of the pyramid is n. The top level consists of only 1 glass, that stands... | Step 1: To solve this problem, we need to simulate the champagne pouring process in the pyramid of glasses.
Step 2: We can represent the pyramid as a 2D array and keep track of the amount of champagne in each glass as the process unfolds.
Step 3: We will then update the amount of champagne in each glass based on the... | 57aab78038cc2b15b932bbce3e987b3dfc98a4cf87f66f9fe95c546ec05378bd_1_1 | e470c10daa398f6064998372a57d3268818bc01c1f2de3cef9f6c5222f9e3404 |
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