task stringclasses 4
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values | instruction stringlengths 66 14k | response stringlengths 13 8.89k | id stringlengths 68 68 | parent_id stringlengths 64 64 |
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Coding | codecontest | Write Python code to solve the task.
Tom is interested in power consumption of his favourite laptop. His laptop has three modes. In normal mode laptop consumes P1 watt per minute. T1 minutes after Tom moved the mouse or touched the keyboard for the last time, a screensaver starts and power consumption changes to P2 wat... | Step 1: The problem requires the calculation of the total amount of power consumed by the laptop during a period.
Step 2: The power consumption of the laptop changes based on three modes and time intervals.
Step 3: We need to define a function to calculate the power consumption during each time period based on the g... | 1838aa6123b77eb9a7a8b18d4cc14bfbe952f4116136491dc39fb227b84b4b07_1_1 | 11f2c0a5d401bdaa8d15e3ef77eb7dd025eb225777cf6bf1c4df03a322805aca |
Coding | codecontest | Write Python code to solve the task.
Tom is interested in power consumption of his favourite laptop. His laptop has three modes. In normal mode laptop consumes P1 watt per minute. T1 minutes after Tom moved the mouse or touched the keyboard for the last time, a screensaver starts and power consumption changes to P2 wat... | Step 1: This problem involves calculating the total power consumed by a laptop based on different modes and time periods where actions are taken.
Step 2: We have to consider the intervals of time when the laptop is idle and factors that affect power consumption such as switching between modes.
Step 3: We need to und... | 313c23379bdf618f11f292668ea1801c646b20840cd4d8b3d36090109c89045f_1_1 | 11f2c0a5d401bdaa8d15e3ef77eb7dd025eb225777cf6bf1c4df03a322805aca |
Coding | codecontest | Write Python code to solve the task.
As we have seen that Vaishnav was a smart kid and today he has grown up(but he is still childish)
and he is in High school.
Today he was back from school and found that 4 pieces of Pizza was
ordered- one for his father, one for this mother, and one for Vaishnavi and one for him. Bu... | Step 1: This problem requires us to find the number of positive rational numbers less than 1, where both the numerator and denominator are less than or equal to n.
Step 2: To solve this problem efficiently, we can use the Euler's Totient Function, which gives us the count of numbers less than n that are coprime to n.... | cc62d260e7dfb52c2fbdb537ed18de688366444ab7fe76b907bcfb707093b149_1_1 | 472d4c897cdc591e83a7d19776e7ae17bdb0523e1dbcaf75e6a66a2a5185b036 |
Coding | codecontest | Write Python code to solve the task.
As we have seen that Vaishnav was a smart kid and today he has grown up(but he is still childish)
and he is in High school.
Today he was back from school and found that 4 pieces of Pizza was
ordered- one for his father, one for this mother, and one for Vaishnavi and one for him. Bu... | Step 1: The problem requires finding the number of positive rational numbers less than 1, expressed as P/Q, where both P and Q are less than or equal to N.
Step 2: We can solve this using the Euler's Totient Function, which counts the number of positive integers less than N that are coprime to N.
Step 3: We can pre-... | 917c4998e0c46ca1798294a2a836ab9dff3f0b237a045bcf1cc937fb26058380_1_1 | 472d4c897cdc591e83a7d19776e7ae17bdb0523e1dbcaf75e6a66a2a5185b036 |
Coding | codecontest | Write Python code to solve the task.
As we have seen that Vaishnav was a smart kid and today he has grown up(but he is still childish)
and he is in High school.
Today he was back from school and found that 4 pieces of Pizza was
ordered- one for his father, one for this mother, and one for Vaishnavi and one for him. Bu... | Step 1: To solve this problem, we need to calculate the number of positive rational numbers less than 1 such that both the numerator and the denominator are less than or equal to N.
Step 2: We can use Euler's Totient Function to calculate this. The totient function phi(n) gives the number of positive integers less th... | 450b8b38c985874f5472d09fce84b73fc25bd9fbfe9af4abac20f5f854657e76_1_1 | 472d4c897cdc591e83a7d19776e7ae17bdb0523e1dbcaf75e6a66a2a5185b036 |
Coding | codecontest | Write Python code to solve the task.
As we have seen that Vaishnav was a smart kid and today he has grown up(but he is still childish)
and he is in High school.
Today he was back from school and found that 4 pieces of Pizza was
ordered- one for his father, one for this mother, and one for Vaishnavi and one for him. Bu... | Step 1: To solve this problem, we need to understand the concept of the Euler's totient function, which returns the number of positive integers less than or equal to n that are relatively prime to n.
Step 2: We can use the concept of Euler's totient function to calculate the number of positive rational numbers less t... | d5fcb81adc20036e4d0c10e179ae61d50669e95483e60cd910482e1932e576e9_1_1 | 472d4c897cdc591e83a7d19776e7ae17bdb0523e1dbcaf75e6a66a2a5185b036 |
Coding | codecontest | Write Python code to solve the task.
A car number in Berland consists of exactly n digits. A number is called beautiful if it has at least k equal digits. Vasya wants to change the digits in his car's number so that the number became beautiful. To replace one of n digits Vasya has to pay the sum of money, equal to the ... | Step 1: The problem asks us to find the minimum sum of money needed to make a number beautiful by changing some of its digits.
Step 2: We need to replace the digits in the old number such that it becomes beautiful. We also have to find the lexicographically minimum number if there are multiple solutions.
Step 3: Fir... | bdd384f97805ac42fe7d4bb8e36fab75182742d24ee9bd399f34114d6bccae2c_1_1 | 0b083bb141d01669988ccf6fbeec8bfba1e1e9074bafb3608d7672f9fc722165 |
Coding | codecontest | Write Python code to solve the task.
A car number in Berland consists of exactly n digits. A number is called beautiful if it has at least k equal digits. Vasya wants to change the digits in his car's number so that the number became beautiful. To replace one of n digits Vasya has to pay the sum of money, equal to the ... | Step 1: We need to find the minimum sum of money Vasya should pay to make the number of his car beautiful.
Step 2: To do this, we need to consider all possible replacements of digits in the number and calculate the cost for each replacement.
Step 3: We also need to find the resulting beautiful number and ensure tha... | b7ef0b37782138b11790af41404905bdf302f50ac1cb9823049b8a5dc7ab2b97_1_1 | 0b083bb141d01669988ccf6fbeec8bfba1e1e9074bafb3608d7672f9fc722165 |
Coding | codecontest | Write Python code to solve the task.
A car number in Berland consists of exactly n digits. A number is called beautiful if it has at least k equal digits. Vasya wants to change the digits in his car's number so that the number became beautiful. To replace one of n digits Vasya has to pay the sum of money, equal to the ... | Step 1: To find the minimum sum of money Vasya should pay to make the number of his car beautiful, we need to iterate through all possible digits (0 to 9) and calculate the cost to change each digit to a different digit.
Step 2: We also need to keep track of the lexicographically minimum number when there are multipl... | 583e6e14bcf2900661f16d6563e96f81fe51d5157c7ccc545961e88ebfdfe09c_1_1 | 0b083bb141d01669988ccf6fbeec8bfba1e1e9074bafb3608d7672f9fc722165 |
Coding | codecontest | Write Python code to solve the task.
A car number in Berland consists of exactly n digits. A number is called beautiful if it has at least k equal digits. Vasya wants to change the digits in his car's number so that the number became beautiful. To replace one of n digits Vasya has to pay the sum of money, equal to the ... | Step 1: The problem requires us to find the minimum sum of money Vasya needs to pay to make the number of his car beautiful, with the condition that the number must have at least k equal digits.
Step 2: We can start by iterating through all possible digits to replace the original number so we can find the minimum sum... | d02f6e6839f9e5edc96cceded4f436ca1e7fb33c4b4922c8117f365a9cf6f496_1_1 | 0b083bb141d01669988ccf6fbeec8bfba1e1e9074bafb3608d7672f9fc722165 |
Coding | codecontest | Write Python code to solve the task.
One warm and sunny day king Copa decided to visit the shooting gallery, located at the Central Park, and try to win the main prize — big pink plush panda. The king is not good at shooting, so he invited you to help him.
The shooting gallery is an infinite vertical plane with Cartes... | Step 1: To solve this problem, we need to find the maximum expected value of the amount of targets that was shot by the king.
Step 2: We can start by calculating the distance between the targets and then check if the distance is less than or equal to the time difference between the targets.
Step 3: If the distance i... | cb278c6197c6fb16884e874addd89efa366b42a858dfbd6d488c69e22b607905_1_1 | 36e156fd5de10a2d07f55b45952d668175e85885189fac4efd33be9c2b985c8e |
Coding | codecontest | Write Python code to solve the task.
One warm and sunny day king Copa decided to visit the shooting gallery, located at the Central Park, and try to win the main prize — big pink plush panda. The king is not good at shooting, so he invited you to help him.
The shooting gallery is an infinite vertical plane with Cartes... | Step 1: The problem involves maximizing the expected value of the amount of hit targets by aiming at specific targets with given probabilities.
Step 2: The input consists of the coordinates, time of appearance, and probability of hitting each target. The king wants to play in the optimal way to maximize the expected ... | 5548402445cd8ae1ecfcef862c3b8cd95199104b4cc920126b00960b46eb9f7f_1_1 | 36e156fd5de10a2d07f55b45952d668175e85885189fac4efd33be9c2b985c8e |
Coding | codecontest | Write Python code to solve the task.
One warm and sunny day king Copa decided to visit the shooting gallery, located at the Central Park, and try to win the main prize — big pink plush panda. The king is not good at shooting, so he invited you to help him.
The shooting gallery is an infinite vertical plane with Cartes... | Step 1: The goal is to help King Copa achieve the maximum expected value of the amount of targets hit.
Step 2: We need to consider the time of appearance, probability of hitting the target, and the distance of the targets from each other to optimize King Copa's shots.
Step 3: We can start by sorting the targets base... | 383cae3dcfb07a08b6a1f5f50d76bdc1acf25418adc454e9394f6c819ff8eff3_1_1 | 36e156fd5de10a2d07f55b45952d668175e85885189fac4efd33be9c2b985c8e |
Coding | codecontest | Write Python code to solve the task.
One warm and sunny day king Copa decided to visit the shooting gallery, located at the Central Park, and try to win the main prize — big pink plush panda. The king is not good at shooting, so he invited you to help him.
The shooting gallery is an infinite vertical plane with Cartes... | Step 1: To solve this problem, we can start by processing the input information about each target. We could sort the targets by their appearance time and then calculate the expected value of hitting each target based on the provided probabilities.
Step 2: To calculate the expected value, we need to consider the dista... | e6649d9d9f19f1bb0b67c176ca94bbefa09901b33679660ee8b58aee7369e437_1_1 | 36e156fd5de10a2d07f55b45952d668175e85885189fac4efd33be9c2b985c8e |
Coding | codecontest | Write Python code to solve the task.
You are given a rebus of form ? + ? - ? + ? = n, consisting of only question marks, separated by arithmetic operation '+' and '-', equality and positive integer n. The goal is to replace each question mark with some positive integer from 1 to n, such that equality holds.
Input
The... | Step 1: The problem asks to replace the question marks in the rebus with positive integers from 1 to n to make the equality hold.
Step 2: We can start by dividing the rebus into the left and right parts. Then, calculate the range of values for the question marks to determine if a solution is possible.
Step 3: If a s... | 34b69374665f8258b7b90ef7f66d50523a9f7e8de8a1735732cc83a8f6a8f30a_1_1 | fbd6d2c574859313ae0e373f6440a305e203348393b5e4edb1e1e9e1989771f9 |
Coding | codecontest | Write Python code to solve the task.
You are given a rebus of form ? + ? - ? + ? = n, consisting of only question marks, separated by arithmetic operation '+' and '-', equality and positive integer n. The goal is to replace each question mark with some positive integer from 1 to n, such that equality holds.
Input
The... | Step 1: The first step is to understand the input format and how the rebus equation is represented.
Step 2: Then, we can create a function to solve the rebus by replacing the question marks with integers 1 to n.
Step 3: We need to consider the constraints such as the number of question marks and the range of integer... | 21c53b4b4b00b42b897be01191891ad796314495af74a1066e0c241a89dada2f_1_1 | fbd6d2c574859313ae0e373f6440a305e203348393b5e4edb1e1e9e1989771f9 |
Coding | codecontest | Write Python code to solve the task.
You are given a rebus of form ? + ? - ? + ? = n, consisting of only question marks, separated by arithmetic operation '+' and '-', equality and positive integer n. The goal is to replace each question mark with some positive integer from 1 to n, such that equality holds.
Input
The... | Step 1: To solve this problem, we need to parse the input rebus and determine whether it is possible to replace the question marks in a way that satisfies the equality.
Step 2: We should also consider the integer limit and conditions such as the sum of numbers to ensure that the solution is within the expected range... | 031ac018998cb629a0d445e5c7f04381bd4316bb6928ca51e44cebd55dd87982_1_1 | fbd6d2c574859313ae0e373f6440a305e203348393b5e4edb1e1e9e1989771f9 |
Coding | codecontest | Write Python code to solve the task.
You are given a rebus of form ? + ? - ? + ? = n, consisting of only question marks, separated by arithmetic operation '+' and '-', equality and positive integer n. The goal is to replace each question mark with some positive integer from 1 to n, such that equality holds.
Input
The... | Step 1: The rebus problem involves replacing question marks with positive integers to satisfy the equality.
Step 2: We can replace the question marks one by one from the left to the right and update the sum accordingly.
Step 3: If the sum exceeds the target value, we print "Impossible".
Step 4: We need to handle th... | a68b1b159c6b0f683020c5e437bc156b3c493c7b1501814a278071dcebfe2492_1_1 | fbd6d2c574859313ae0e373f6440a305e203348393b5e4edb1e1e9e1989771f9 |
Coding | codecontest | Write Python code to solve the task.
Little Chris knows there's no fun in playing dominoes, he thinks it's too random and doesn't require skill. Instead, he decided to play with the dominoes and make a "domino show".
Chris arranges n dominoes in a line, placing each piece vertically upright. In the beginning, he simul... | Step 1: To solve the problem, we need to loop through the input string that represents the directions to which each domino has been pushed and keeping track of the dominoes that remain vertical at the end of the process based on the conditions given in the problem statement. The expected output is the count of dominoe... | 91790c0706f465f2e21f90f39d7a04b4f3bcb954895b3a64e45a96e2049fb71e_1_1 | 27ac2d46fcd6f98dcd4cb558a715094717f13cf85859a1953e2c1625e7477cad |
Coding | codecontest | Write Python code to solve the task.
Little Chris knows there's no fun in playing dominoes, he thinks it's too random and doesn't require skill. Instead, he decided to play with the dominoes and make a "domino show".
Chris arranges n dominoes in a line, placing each piece vertically upright. In the beginning, he simul... | Step 1: In this problem, we are given the initial directions Chris has pushed the dominoes, and we need to find the number of dominoes left standing vertically at the end of the process.
Step 2: To solve this problem, we can iterate through the dominoes and keep track of the number of dominoes that remain vertical.
S... | a012434396b2fe2d495296a056d6689de83288e32e2774a3d31ecbce386417aa_1_1 | 27ac2d46fcd6f98dcd4cb558a715094717f13cf85859a1953e2c1625e7477cad |
Coding | codecontest | Write Python code to solve the task.
Little Chris knows there's no fun in playing dominoes, he thinks it's too random and doesn't require skill. Instead, he decided to play with the dominoes and make a "domino show".
Chris arranges n dominoes in a line, placing each piece vertically upright. In the beginning, he simul... | Step 1: The problem is asking us to determine the number of dominoes left standing vertically at the end of the process.
Step 2: We need to find the state of each domino at the end of the process based on the directions Chris has pushed the dominoes.
Step 3: To solve this, we can iterate through the dominoes to simu... | 51baf7138982387fcab1b99048ad3b6b3a1016c885b6c0f28349c03d14d56a10_1_1 | 27ac2d46fcd6f98dcd4cb558a715094717f13cf85859a1953e2c1625e7477cad |
Coding | codecontest | Write Python code to solve the task.
Little Chris knows there's no fun in playing dominoes, he thinks it's too random and doesn't require skill. Instead, he decided to play with the dominoes and make a "domino show".
Chris arranges n dominoes in a line, placing each piece vertically upright. In the beginning, he simul... | Step 1: We need to define a function to simulating the process of dominoes falling.
Step 2: We also have to determine the number of dominoes that remain standing vertically at the end of the process.
Step 3: We will iterate through the input string to find the positioning of each domino.
Step 4: In the process, we... | 23974557900b069d7a1748b850d8917968c30d2a5bea9a5d7e69c0b089786887_1_1 | 27ac2d46fcd6f98dcd4cb558a715094717f13cf85859a1953e2c1625e7477cad |
Coding | codecontest | Write Python code to solve the task.
Multiple polygonal lines are given on the xy-plane. Given a list of polygonal lines and a template, you must find out polygonal lines which have the same shape as the template.
A polygonal line consists of several line segments parallel to x-axis or y-axis. It is defined by a list ... | Step 1: To solve this problem, we need to understand the concept of polygonal lines and how to compare their shapes.
Step 2: We can start by implementing a function to read the coordinates of the vertices that define a polygonal line.
Step 3: Then we need to define a function to check whether two polygonal lines hav... | b83bed792484f318a70d57fa769db2e1099349c1bc1db88919bc3078fa40412d_1_1 | f8fb01f69cf4d3287d57f386fe5db5941e174f4e4de8e46b1b32d5f5adaa4b5d |
Coding | codecontest | Write Python code to solve the task.
Multiple polygonal lines are given on the xy-plane. Given a list of polygonal lines and a template, you must find out polygonal lines which have the same shape as the template.
A polygonal line consists of several line segments parallel to x-axis or y-axis. It is defined by a list ... | Step 1:
The problem involves comparing polygonal lines on the xy-plane to a template polygonal line to determine if they have the same shape.
To solve this, we can implement a function to read the input path coordinates and another function to check if two polygonal lines are congruent. We can then iterate through th... | eb364befe001adcf0a36fcbcffe4cbbbc28955da6d0d4ebb2be1712a8d8d4430_1_1 | f8fb01f69cf4d3287d57f386fe5db5941e174f4e4de8e46b1b32d5f5adaa4b5d |
Coding | codecontest | Write Python code to solve the task.
Multiple polygonal lines are given on the xy-plane. Given a list of polygonal lines and a template, you must find out polygonal lines which have the same shape as the template.
A polygonal line consists of several line segments parallel to x-axis or y-axis. It is defined by a list ... | Step 1:
The problem involves calculating whether the given polygons are of the same shape. It requires determining if the polygons overlap with each other exactly with rotational and translational movements. The is_same function checks for different orientations of the given polygons and returns if the consider polygo... | 08b5521d4d48a287a6fb60c3e4f0a7b6429fcf2abc829f21d8d8f27a1c4c8dd2_1_1 | f8fb01f69cf4d3287d57f386fe5db5941e174f4e4de8e46b1b32d5f5adaa4b5d |
Coding | codecontest | Write Python code to solve the task.
Multiple polygonal lines are given on the xy-plane. Given a list of polygonal lines and a template, you must find out polygonal lines which have the same shape as the template.
A polygonal line consists of several line segments parallel to x-axis or y-axis. It is defined by a list ... | Step 1: To determine the polygonal lines which have the same shape as the template, we need to compare each polygonal line with the template.
Step 2: The function is_same compares two polygonal lines by checking for rotation and reflection or translation to match the target polygonal line list.
Step 3: We read the i... | 533c538ef61d1afa8aea8965c12acaf945c3ca195fd65de9c8c2954635394431_1_1 | f8fb01f69cf4d3287d57f386fe5db5941e174f4e4de8e46b1b32d5f5adaa4b5d |
Coding | codecontest | Write Python code to solve the task.
You are given a multiset S consisting of positive integers (initially empty). There are two kind of queries:
1. Add a positive integer to S, the newly added integer is not less than any number in it.
2. Find a subset s of the set S such that the value <image> is maximum possi... | Step 1: This problem can be solved by simulating the process described in the problem. We need to keep track of the elements added to the set and calculate the maximum possible value of the average for the given set. We also need to handle the queries and perform the necessary operations based on the type of query.
St... | 8242fee2d779f7885bf98f102f44d384174cce0c3d48fdf5b99335b1ff64b6be_1_1 | 73d80783c364c6df3fe4226d76392cea4ebf778f86055576765bd00762a002ab |
Coding | codecontest | Write Python code to solve the task.
You are given a multiset S consisting of positive integers (initially empty). There are two kind of queries:
1. Add a positive integer to S, the newly added integer is not less than any number in it.
2. Find a subset s of the set S such that the value <image> is maximum possi... | Step 1: The problem requires us to process a series of queries, where we need to add a positive integer to a set and find the maximum average value of the numbers in a subset.
Step 2: We are given two query types:
Step 3: - Type 1: Add a positive integer to the set
Step 4: - Type 2: Find the maximum possible averag... | bbb151d189dd236c2ac238d87152769db32f21fe4e91ac327fc0cfce49879de9_1_1 | 73d80783c364c6df3fe4226d76392cea4ebf778f86055576765bd00762a002ab |
Coding | codecontest | Write Python code to solve the task.
You are given a multiset S consisting of positive integers (initially empty). There are two kind of queries:
1. Add a positive integer to S, the newly added integer is not less than any number in it.
2. Find a subset s of the set S such that the value <image> is maximum possi... | Step 1: The problem is asking for a solution to find the maximum possible value of the average of a subset from a set of positive integers.
Step 2: To solve this problem, we can iterate through the input queries one by one. Each time we add a new integer to the set (query type 1), we will update the subset of the set... | 175da717ce3a11b88b58dfe8e569be3698327a717b48746f24aa3bba2e0fac83_1_1 | 73d80783c364c6df3fe4226d76392cea4ebf778f86055576765bd00762a002ab |
Coding | codecontest | Write Python code to solve the task.
You are given a multiset S consisting of positive integers (initially empty). There are two kind of queries:
1. Add a positive integer to S, the newly added integer is not less than any number in it.
2. Find a subset s of the set S such that the value <image> is maximum possi... | Step 1: In the given gt, the code uses a list to store the integers that are added to S and performs the required operation to output the maximum possible value of the average of the subset s.
Step 2: The code uses conditional statements to determine the type of query and performs the corresponding operation.
Step 3:... | 28fbb3feded6bc59411dca2686350686ceeaef7fa8bbc815860bd857b4723399_1_1 | 73d80783c364c6df3fe4226d76392cea4ebf778f86055576765bd00762a002ab |
Coding | codecontest | Write Python code to solve the task.
One tradition of welcoming the New Year is launching fireworks into the sky. Usually a launched firework flies vertically upward for some period of time, then explodes, splitting into several parts flying in different directions. Sometimes those parts also explode after some period ... | Step 1: The problem requires counting the number of cells visited by a firework after a certain level of recursion depth n.
Step 2: We need to understand how the firework behaves, its movements, and how to account for the cells it visits.
Step 3: We can iteratively simulate the behavior of the firework as it moves a... | 3658d2423de4ac73ef53c66af11a681214c33f1854f7cd8c94b8624494e5576e_1_1 | 5161dbcc5724b7fc974d456da1bb57df4b0165fca6bd1559ed4dd253e5560046 |
Coding | codecontest | Write Python code to solve the task.
One tradition of welcoming the New Year is launching fireworks into the sky. Usually a launched firework flies vertically upward for some period of time, then explodes, splitting into several parts flying in different directions. Sometimes those parts also explode after some period ... | Step 1: The problem requires us to simulate the movement and explosion of a firework in an infinite grid based on specific rules of recursion depth and durations.
Step 2: Given the starting cell and the recursion depth, we need to calculate the cells that will be visited at least once by any part of the firework.
Ste... | 182c18b681b7d7938a7d6bbd9f2a7db92bcd1575206df6138ed4e3be4befb65f_1_1 | 5161dbcc5724b7fc974d456da1bb57df4b0165fca6bd1559ed4dd253e5560046 |
Coding | codecontest | Write Python code to solve the task.
One tradition of welcoming the New Year is launching fireworks into the sky. Usually a launched firework flies vertically upward for some period of time, then explodes, splitting into several parts flying in different directions. Sometimes those parts also explode after some period ... | Step 1:
The problem is asking us to calculate the number of cells that will be visited at least once by any part of the fireworks after the given depth of recursion and duration at each level of recursion. We need to account for the upward movement and the explosions causing the parts to move at different angles. To s... | 376bd57702067ddf312c749427b937daaa523d85d8fc570e0d623300feb52134_1_1 | 5161dbcc5724b7fc974d456da1bb57df4b0165fca6bd1559ed4dd253e5560046 |
Coding | codecontest | Write Python code to solve the task.
One tradition of welcoming the New Year is launching fireworks into the sky. Usually a launched firework flies vertically upward for some period of time, then explodes, splitting into several parts flying in different directions. Sometimes those parts also explode after some period ... | Step 1: The problem requires us to count the number of cells that will be visited at least once by any part of the firework. This problem can be solved using recursion and tracking the position of the parts after each explosion.
Step 2: We can create a recursive function to simulate the movement of the parts, and use... | b9f28a06afa3d6e2cef101459564ee6673de65b886e26d4cbd7954a2e0bf87db_1_1 | 5161dbcc5724b7fc974d456da1bb57df4b0165fca6bd1559ed4dd253e5560046 |
Coding | codecontest | Write Python code to solve the task.
Pasha has recently bought a new phone jPager and started adding his friends' phone numbers there. Each phone number consists of exactly n digits.
Also Pasha has a number k and two sequences of length n / k (n is divisible by k) a1, a2, ..., an / k and b1, b2, ..., bn / k. Let's spl... | Step 1: The problem involves splitting a phone number into blocks of length k and then testing whether the i-th block doesn't start from the digit bi and is divisible by ai if represented as an integer.
Step 2: We calculate the number of good phone numbers based on this condition and print it modulo 109 + 7.
Step 3: ... | c8037300db19de57ea56ba57c8513a9bcda3d4ba81111269a9392899e6d6dbdd_1_1 | 63d3f13d20421a3f91fd8d725cd8e5b73479a4ffffd25a410f563440851d063d |
Coding | codecontest | Write Python code to solve the task.
Pasha has recently bought a new phone jPager and started adding his friends' phone numbers there. Each phone number consists of exactly n digits.
Also Pasha has a number k and two sequences of length n / k (n is divisible by k) a1, a2, ..., an / k and b1, b2, ..., bn / k. Let's spl... | Step 1: The function f calculates the number of good phone numbers with given a sequence, b sequence, and block length k. The calculation involves determining the upper and lower bounds for integers based on the sequences and the block length. Then, for each element in the a and b sequences, it calculates the count of ... | 9fd2e2ec367ee65022de6ddc961fcd2f79a62292afb2fee2c41ec545cd644495_1_1 | 63d3f13d20421a3f91fd8d725cd8e5b73479a4ffffd25a410f563440851d063d |
Coding | codecontest | Write Python code to solve the task.
Pasha has recently bought a new phone jPager and started adding his friends' phone numbers there. Each phone number consists of exactly n digits.
Also Pasha has a number k and two sequences of length n / k (n is divisible by k) a1, a2, ..., an / k and b1, b2, ..., bn / k. Let's spl... | Step 1: To solve this problem, we are given a phone number of length n with blocks of length k.
Step 2: We need to check if each block is good based on the given conditions.
Step 3: The logic to solve this includes iterating through the blocks while checking for divisibility and value ranges for each block.
Step 4: T... | bc7cd737749159c2dfdab64dc896b97bfe71ab498fa7e423926474e454e87104_1_1 | 63d3f13d20421a3f91fd8d725cd8e5b73479a4ffffd25a410f563440851d063d |
Coding | codecontest | Write Python code to solve the task.
Pasha has recently bought a new phone jPager and started adding his friends' phone numbers there. Each phone number consists of exactly n digits.
Also Pasha has a number k and two sequences of length n / k (n is divisible by k) a1, a2, ..., an / k and b1, b2, ..., bn / k. Let's spl... | Step 1: The given problem involves calculating the number of good phone numbers of length n for a given k, ai, and bi.
Step 2: To solve this problem, we can use a loop to iterate through the sequences a and b and calculate the number of good phone numbers based on the given conditions.
Step 3: We also need to keep t... | 1a3659e6edbe310315a1d26f91ba0b391594fbaf69851f8e596770b60c8b010c_1_1 | 63d3f13d20421a3f91fd8d725cd8e5b73479a4ffffd25a410f563440851d063d |
Coding | codecontest | Write Python code to solve the task.
You are given an array a consisting of n integer numbers.
You have to color this array in k colors in such a way that:
* Each element of the array should be colored in some color;
* For each i from 1 to k there should be at least one element colored in the i-th color in the ... | Step 1: The problem requires coloring an array of integers by using k colors in such a way that each element is colored in a unique color.
Step 2: We can check if such a coloring is possible and if so, we provide a coloring. If it's impossible, we print "NO".
Step 3: To solve this, we need to maintain a list of the ... | c70f09d0154bfbf15b690cff97da2d91b9bdba94bc8d8af754cef6a246811138_1_1 | a81ce124a6ea7cd00a9c15661441c6eba212e799fdb39e2df5ab74e09aa6e186 |
Coding | codecontest | Write Python code to solve the task.
You are given an array a consisting of n integer numbers.
You have to color this array in k colors in such a way that:
* Each element of the array should be colored in some color;
* For each i from 1 to k there should be at least one element colored in the i-th color in the ... | Step 1: The goal is to color an array in k colors satisfying certain conditions.
Step 2: To do this, we can iterate through the array and assign distinct colors to each element in the array, ensuring that the maximum number of distinct colors does not exceed k.
Step 3: We also need to check if such coloring is impos... | acc7a69f43591f728a7973aa0495b783a28dbda9217a00f8ac5a01f0cb259a2e_1_1 | a81ce124a6ea7cd00a9c15661441c6eba212e799fdb39e2df5ab74e09aa6e186 |
Coding | codecontest | Write Python code to solve the task.
You are given an array a consisting of n integer numbers.
You have to color this array in k colors in such a way that:
* Each element of the array should be colored in some color;
* For each i from 1 to k there should be at least one element colored in the i-th color in the ... | Step 1: The goal is to color an array using k distinct colors in such a way that all elements colored in the same color are distinct.
Step 2: We can approach this problem by iterating through the elements of the array and assigning colors to them based on their values.
Step 3: We need to make sure that each color is... | ea2056751d8bd835ff203b04a0554b7d5ac6284db36d72025ce015ed23b3d1c0_1_1 | a81ce124a6ea7cd00a9c15661441c6eba212e799fdb39e2df5ab74e09aa6e186 |
Coding | codecontest | Write Python code to solve the task.
You are given an array a consisting of n integer numbers.
You have to color this array in k colors in such a way that:
* Each element of the array should be colored in some color;
* For each i from 1 to k there should be at least one element colored in the i-th color in the ... | Step 1: The problem requires coloring an array of integers using a given number of colors while meeting certain conditions.
Step 2: In solving this problem, we need to first check if it's possible to color the array according to the given conditions.
Step 3: We then need to devise a method to assign distinct colors ... | 80f368d9af02e24b7abc01faf0fd427cd81ea299626213f6e9aaeda79c3b693f_1_1 | a81ce124a6ea7cd00a9c15661441c6eba212e799fdb39e2df5ab74e09aa6e186 |
Coding | codecontest | Write Python code to solve the task.
Let's introduce some definitions that will be needed later.
Let prime(x) be the set of prime divisors of x. For example, prime(140) = \{ 2, 5, 7 \}, prime(169) = \{ 13 \}.
Let g(x, p) be the maximum possible integer p^k where k is an integer such that x is divisible by p^k. For ex... | Step 1: The problem requires us to calculate the product of f(x, k) for all k from 1 to n and then take the result modulo (10^9 + 7).
Step 2: To solve this problem, we need to first define the prime(x) and g(x, p) functions as described in the problem statement.
Step 3: We can then use prime_factorization to find th... | 4b8e77b7147e375cc283687e7fae4749164d777f57c6520e4480a0aa1e4375c5_1_1 | 590e5cf4d9b912cac4736db2f4c10042704073abaef27a4b49110ccdeb69ade5 |
Coding | codecontest | Write Python code to solve the task.
Let's introduce some definitions that will be needed later.
Let prime(x) be the set of prime divisors of x. For example, prime(140) = \{ 2, 5, 7 \}, prime(169) = \{ 13 \}.
Let g(x, p) be the maximum possible integer p^k where k is an integer such that x is divisible by p^k. For ex... | Step 1: Here, we need to calculate f(x, y) for a range of y values from 1 to n and then find the product of these values modulo 10^9 + 7.
Step 2: To calculate f(x, y), we need to find the prime divisors of x, then for each prime divisor, we need to find the maximum power such that y is divisible by the prime divisor ... | 50c028b49f15b41c831004c954faf931e965f49094fe5aff8c439a82195af743_1_1 | 590e5cf4d9b912cac4736db2f4c10042704073abaef27a4b49110ccdeb69ade5 |
Coding | codecontest | Write Python code to solve the task.
Let's introduce some definitions that will be needed later.
Let prime(x) be the set of prime divisors of x. For example, prime(140) = \{ 2, 5, 7 \}, prime(169) = \{ 13 \}.
Let g(x, p) be the maximum possible integer p^k where k is an integer such that x is divisible by p^k. For ex... | Step 1: To solve this problem, we need to find the prime divisors of x and the maximum powers of those prime divisors that divide x.
Step 2: We can define separate functions to calculate the prime divisors, maximum powers, and the product of maximum powers for each prime divisor.
Step 3: The formula for f(x, y) invo... | fe3a0043e077c64b602872a7f46702a26c8f93858f443b897d9b4ca2ce56a541_1_1 | 590e5cf4d9b912cac4736db2f4c10042704073abaef27a4b49110ccdeb69ade5 |
Coding | codecontest | Write Python code to solve the task.
Let's introduce some definitions that will be needed later.
Let prime(x) be the set of prime divisors of x. For example, prime(140) = \{ 2, 5, 7 \}, prime(169) = \{ 13 \}.
Let g(x, p) be the maximum possible integer p^k where k is an integer such that x is divisible by p^k. For ex... | Step 1:
The given problem requires calculating the product of g(y, p) for all p in prime(x) for different values of y and then taking the mod. This involves determining the prime divisors of the x and iterating through each prime divisor to calculate g(y, p) with different values of y and then multiplying these values... | 7eb2ac0a9ac89117c052f2388d9d35bb49e0f53cf07a9a69d32f5d122d611f49_1_1 | 590e5cf4d9b912cac4736db2f4c10042704073abaef27a4b49110ccdeb69ade5 |
Coding | codecontest | Write Python code to solve the task.
You've got table a, consisting of n rows, numbered from 1 to n. The i-th line of table a contains ci cells, at that for all i (1 < i ≤ n) holds ci ≤ ci - 1.
Let's denote s as the total number of cells of table a, that is, <image>. We know that each cell of the table contains a sin... | Step 1: The problem involves rearranging the numbers in a table to fulfill specific conditions. We need to understand the constraints of the rearranging operation.
Step 2: We can start by reading the input, processing the table, and understanding how to perform swap operations to rearrange the numbers to meet the con... | 5254618fd76622b78644aec098fb19e0047dfa508b7bd13fdbb0e221da26f5a5_1_1 | 43f269e595efb141909f0234ca93f52cfe32741c67da239c557969cb12b2fae1 |
Coding | codecontest | Write Python code to solve the task.
You've got table a, consisting of n rows, numbered from 1 to n. The i-th line of table a contains ci cells, at that for all i (1 < i ≤ n) holds ci ≤ ci - 1.
Let's denote s as the total number of cells of table a, that is, <image>. We know that each cell of the table contains a sin... | Step 1: The solution includes a few steps. First, it processes the matrix of integers to understand where each value should be placed. Then it calculates the number of swaps required to fulfill the given conditions.
Step 2: After that, it performs the swaps and updates the original matrix to have proper number place... | 59ee1ace84d568436aa074ec8dfd5e78de18b9e6b47d99fc1c16c7c409bc050f_1_1 | 43f269e595efb141909f0234ca93f52cfe32741c67da239c557969cb12b2fae1 |
Coding | codecontest | Write Python code to solve the task.
You've got table a, consisting of n rows, numbered from 1 to n. The i-th line of table a contains ci cells, at that for all i (1 < i ≤ n) holds ci ≤ ci - 1.
Let's denote s as the total number of cells of table a, that is, <image>. We know that each cell of the table contains a sin... | Step 1: The problem requires us to rearrange the numbers in the table in such a way that two conditions are met:
Step 2: 1. For all i and j (1 < i ≤ n; 1 ≤ j ≤ ci) holds ai, j > ai - 1, j
Step 3: 2. For all i and j (1 ≤ i ≤ n; 1 < j ≤ ci) holds ai, j > ai, j - 1
Step 4: We need to find the number of swap operations... | d50fa0fdc026812c25b83fb444b887ddaf76f4ae8fd73252c45f6d5ec4dfac5f_1_1 | 43f269e595efb141909f0234ca93f52cfe32741c67da239c557969cb12b2fae1 |
Coding | codecontest | Write Python code to solve the task.
You've got table a, consisting of n rows, numbered from 1 to n. The i-th line of table a contains ci cells, at that for all i (1 < i ≤ n) holds ci ≤ ci - 1.
Let's denote s as the total number of cells of table a, that is, <image>. We know that each cell of the table contains a sin... | Step 1: The problem requires us to swap table cells to fulfill certain conditions within the table.
Step 2: We need to initialize a function to read the input, process the table, and output the results of the swap operations.
Step 3: We also need to log the swap operations that are performed and track the swaps exec... | 02f84dec9c588eb9d9faa8f6d2ccfdc10dbb83ba901b0f763aa577199f155837_1_1 | 43f269e595efb141909f0234ca93f52cfe32741c67da239c557969cb12b2fae1 |
Coding | codecontest | Write Python code to solve the task.
A team of students from the city S is sent to the All-Berland Olympiad in Informatics. Traditionally, they go on the train. All students have bought tickets in one carriage, consisting of n compartments (each compartment has exactly four people). We know that if one compartment cont... | Step 1: The problem requires finding the minimum number of people needed to convince to swap places so that all the compartments have no bored students.
Step 2: The solution needs to consider each compartment's situation and determine the necessary swaps to satisfy the given conditions.
Step 3: We also need to keep... | 43cfc8d32ea05aead54f690831c7b0f09980a6b3ed5f39dd23d0f8043b9a09b0_1_1 | 903a740f9734a82c24c231dd350595c6d4711fc46a1a63cd760ec169ac7916ed |
Coding | codecontest | Write Python code to solve the task.
A team of students from the city S is sent to the All-Berland Olympiad in Informatics. Traditionally, they go on the train. All students have bought tickets in one carriage, consisting of n compartments (each compartment has exactly four people). We know that if one compartment cont... | Step 1: To solve this problem, we need to find the minimum number of people necessary to persuade the conductor (to switch places) in order to ensure that each compartment contains no bored students.
Step 2: We can start by calculating how many compartments have 1, 2, 3, and 4 students. Based on their count, we can d... | ac71a014c28225abfbe689d78d09ebffed23ee1bbf6bd1a2cf452958a88b5613_1_1 | 903a740f9734a82c24c231dd350595c6d4711fc46a1a63cd760ec169ac7916ed |
Coding | codecontest | Write Python code to solve the task.
A team of students from the city S is sent to the All-Berland Olympiad in Informatics. Traditionally, they go on the train. All students have bought tickets in one carriage, consisting of n compartments (each compartment has exactly four people). We know that if one compartment cont... | Step 1: The problem requires us to minimize the number of people required to swap places to ensure that no compartment with students has bored students.
Step 2: We need to count the number of students in each compartment and use this information to calculate the minimum number of people required to swap places to ach... | 76500ae06653eebda9b50d3f1e95ba293321e3d11f99247eaf2add27066cc304_1_1 | 903a740f9734a82c24c231dd350595c6d4711fc46a1a63cd760ec169ac7916ed |
Coding | codecontest | Write Python code to solve the task.
A team of students from the city S is sent to the All-Berland Olympiad in Informatics. Traditionally, they go on the train. All students have bought tickets in one carriage, consisting of n compartments (each compartment has exactly four people). We know that if one compartment cont... | Step 1:
This problem requires us to find the minimum number of people who need to be persuaded to swap places with students to ensure that no compartment has bored students. We can analyze each compartment's students and how to make swaps to ensure that no compartment has bored students. We also need to consider what ... | bf1df5a8083abc9aa210d42740e282b468695715637efc332bf6f3263ecbd5c8_1_1 | 903a740f9734a82c24c231dd350595c6d4711fc46a1a63cd760ec169ac7916ed |
Coding | codecontest | Write Python code to solve the task.
Little Vlad is fond of popular computer game Bota-2. Recently, the developers announced the new add-on named Bota-3. Of course, Vlad immediately bought only to find out his computer is too old for the new game and needs to be updated.
There are n video cards in the shop, the power ... | Step 1: The goal is to find the maximum total power of the video cards that can work together. We need a strategy to determine which video cards Vlad should buy to achieve this.
Step 2: We are given the power of each video card, and we need to determine their compatibility with each other.
Step 3: We need to consid... | bed4a538d5d1c3714b579b94b546d1585737211e23acde24a81e755b5d266b80_1_1 | e7d202a886e356287078e624a4de7ed583a7a558aaa8d09006e553df210bf43e |
Coding | codecontest | Write Python code to solve the task.
Little Vlad is fond of popular computer game Bota-2. Recently, the developers announced the new add-on named Bota-3. Of course, Vlad immediately bought only to find out his computer is too old for the new game and needs to be updated.
There are n video cards in the shop, the power ... | Step 1: The problem requires finding the maximum total power of video cards that can work together, given the conditions that the power of each secondary video card must be divisible by the power of the leading video card, and the power of the leading card cannot be reduced.
Step 2: To solve this problem, we need to ... | 91463904ae9d679b8b8318b3e45d14c3f5dfb678aa4aaa88219d38e36b5408ab_1_1 | e7d202a886e356287078e624a4de7ed583a7a558aaa8d09006e553df210bf43e |
Coding | codecontest | Write Python code to solve the task.
Little Vlad is fond of popular computer game Bota-2. Recently, the developers announced the new add-on named Bota-3. Of course, Vlad immediately bought only to find out his computer is too old for the new game and needs to be updated.
There are n video cards in the shop, the power ... | Step 1: The problem involves finding the maximum total power of video cards that can work together, given certain constraints.
Step 2: To achieve this, we need to consider the power of each video card in relation to other video cards and determine how they can work together with a leading video card.
Step 3: We will... | b0a391177dfdc47425190db021a27891b156e68ceeddb1265b72ad13dcabd38b_1_1 | e7d202a886e356287078e624a4de7ed583a7a558aaa8d09006e553df210bf43e |
Coding | codecontest | Write Python code to solve the task.
Little Vlad is fond of popular computer game Bota-2. Recently, the developers announced the new add-on named Bota-3. Of course, Vlad immediately bought only to find out his computer is too old for the new game and needs to be updated.
There are n video cards in the shop, the power ... | Step 1: The problem requires us to find the maximum possible total power of video cards that work together using a given set of video cards and their associated powers.
Step 2: We are given the number of video cards and their powers as input. The most optimal way to accomplish the required goal is by first sorting th... | a68df2f6a7538aff65d61643eb87a62c3446d0ccfd4e5b49b1b3c52f6e2d0af8_1_1 | e7d202a886e356287078e624a4de7ed583a7a558aaa8d09006e553df210bf43e |
Coding | codecontest | Write Python code to solve the task.
Jamie is preparing a Codeforces round. He has got an idea for a problem, but does not know how to solve it. Help him write a solution to the following problem:
Find k integers such that the sum of two to the power of each number equals to the number n and the largest integer in the... | Step 1: The given problem requires finding k integers such that the sum of the powers of two for each number equals the number n.
Step 2: To solve this problem, we'll start by processing the input values of n and k.
Step 3: We need to find a sequence of k integers. The sequence should satisfy the given conditions an... | 4a01c0d0b76c249ad472710d9abb4c2f7c81e4b91234581e3b96f0363e5a6895_1_1 | a2f45e417eef7f15a7444abbcaa8ea711583eb0ce46cfd569857c01fadb06703 |
Coding | codecontest | Write Python code to solve the task.
Jamie is preparing a Codeforces round. He has got an idea for a problem, but does not know how to solve it. Help him write a solution to the following problem:
Find k integers such that the sum of two to the power of each number equals to the number n and the largest integer in the... | Step 1: The problem requires finding k integers such that the sum of two to the power of each number equals to the number n and the largest integer in the answer is as small as possible. The solution should output the lexicographically largest one among multiple answers.
Step 2: To solve this problem, we can use a g... | 2a275f3281d06e74a428bfaa058479bf6e336a9e662d67cab89dbed8ce3de6e2_1_1 | a2f45e417eef7f15a7444abbcaa8ea711583eb0ce46cfd569857c01fadb06703 |
Coding | codecontest | Write Python code to solve the task.
Jamie is preparing a Codeforces round. He has got an idea for a problem, but does not know how to solve it. Help him write a solution to the following problem:
Find k integers such that the sum of two to the power of each number equals to the number n and the largest integer in the... | Step 1: The problem is asking to find k integers such that the sum of two to the power of each number equals to the number n
Step 2: and the largest integer in the answer is as small as possible. We also need to consider the lexicographically largest sequence among all potential sequences.
Step 3: To solve this pro... | 872f708ed76a0f6a68d22d31827f6d305fe29444bdd0c246575306b9a68e65ca_1_1 | a2f45e417eef7f15a7444abbcaa8ea711583eb0ce46cfd569857c01fadb06703 |
Coding | codecontest | Write Python code to solve the task.
Jamie is preparing a Codeforces round. He has got an idea for a problem, but does not know how to solve it. Help him write a solution to the following problem:
Find k integers such that the sum of two to the power of each number equals to the number n and the largest integer in the... | Step 1: The problem requires finding k integers that satisfy a specific condition.
Step 2: We need to determine the sum of two to the power of each number and ensure it equals n.
Step 3: The largest integer in the answer should be as small as possible, and we need to consider the lexicographical order for multiple... | 1f3a7b2753b591987fad2c81176496696ac1c02ba1f401fda7a6dd14033e1dde_1_1 | a2f45e417eef7f15a7444abbcaa8ea711583eb0ce46cfd569857c01fadb06703 |
Coding | codecontest | Write Python code to solve the task.
Look for the Winner!
The citizens of TKB City are famous for their deep love in elections and vote counting. Today they hold an election for the next chairperson of the electoral commission. Now the voting has just been closed and the counting is going to start. The TKB citizens ha... | Step 1: The objective is to determine the winner and the number of votes at which the winner is ensured in an election
Step 2: We can use the Counter from the collections module to count the votes and the number of times each candidate has received a vote.
Step 3: By iterating over the votes and tracking the candida... | 9d5e350ca1dc2eefa5eb6516659999645178aaec086b5a7e48c5c76e7030990c_1_1 | bd67b0e8d9a4f0137025f0030a68a069ac1ef381eee907dab80bb1c8d3cb07a9 |
Coding | codecontest | Write Python code to solve the task.
Look for the Winner!
The citizens of TKB City are famous for their deep love in elections and vote counting. Today they hold an election for the next chairperson of the electoral commission. Now the voting has just been closed and the counting is going to start. The TKB citizens ha... | Step 1: To solve this problem, we need to determine the winner and when the winner gets ensured based on the current vote counts.
Step 2: We can use a loop to iterate through each dataset and count the votes for each candidate.
Step 3: For each vote counted, we will check if the candidate has more votes than the ot... | 50e947214eb2cf263e3fdefbb735f58ab098b79555cdf4e6ce9e2cad673dd558_1_1 | bd67b0e8d9a4f0137025f0030a68a069ac1ef381eee907dab80bb1c8d3cb07a9 |
Coding | codecontest | Write Python code to solve the task.
Look for the Winner!
The citizens of TKB City are famous for their deep love in elections and vote counting. Today they hold an election for the next chairperson of the electoral commission. Now the voting has just been closed and the counting is going to start. The TKB citizens ha... | Step 1: The problem requires us to determine the winner in an election and identify the point at which the winner is ensured.
Step 2: To solve this problem, we will iterate through the votes, updating the count for each candidate as we process each vote.
Step 3: At each iteration, we will check if the winner is iden... | 056e752fd93fc87d1f618b0145a94c455885e23850ba4d218273c08ddba7c28e_1_1 | bd67b0e8d9a4f0137025f0030a68a069ac1ef381eee907dab80bb1c8d3cb07a9 |
Coding | codecontest | Write Python code to solve the task.
Look for the Winner!
The citizens of TKB City are famous for their deep love in elections and vote counting. Today they hold an election for the next chairperson of the electoral commission. Now the voting has just been closed and the counting is going to start. The TKB citizens ha... | Step 1: To solve this problem, we need to iterate through the vote counts up to the total number of votes.
Step 2: For each set of votes, we need to determine the candidate receiving the most votes and the point at which the winner is ensured.
Step 3: We will calculate the vote count for each candidate up to a certa... | 4a866cf551c5d67aff36999673af6b7f99be6905085dac41a787cf96bbe7e714_1_1 | bd67b0e8d9a4f0137025f0030a68a069ac1ef381eee907dab80bb1c8d3cb07a9 |
Coding | codecontest | Write Python code to solve the task.
Lindsey Buckingham told Stevie Nicks ["Go your own way"](https://www.youtube.com/watch?v=6ul-cZyuYq4). Nicks is now sad and wants to go away as quickly as possible, but she lives in a 2D hexagonal world.
Consider a hexagonal tiling of the plane as on the picture below.
<image>
Ni... | Step 1: The problem requires calculating the minimum cost of a path from the origin to a given cell in a 2D hexagonal world, given the coordinates of the target hexagon and the costs of traveling in each direction.
Step 2: We first need to define a function that calculates the minimum cost of a path from the origin t... | 0e1d47cb383185e25b92bfc362f6acb55b7782fb7ae9e94f92174893632b8aa6_1_1 | fe4f39d21e7e15a9e22a0061daa646900484e9b882ade9cb2edf1cec63042ae5 |
Coding | codecontest | Write Python code to solve the task.
Lindsey Buckingham told Stevie Nicks ["Go your own way"](https://www.youtube.com/watch?v=6ul-cZyuYq4). Nicks is now sad and wants to go away as quickly as possible, but she lives in a 2D hexagonal world.
Consider a hexagonal tiling of the plane as on the picture below.
<image>
Ni... | Step 1: To solve this problem, we need to calculate the smallest cost of a path from the origin to a given cell in a 2D hexagonal world.
Step 2: We can use a function to determine the cost of each step in different directions based on the input costs.
Step 3: We also need to calculate the final minimum cost for each... | 1ea5a3649a76ffdc5ab8d7f55fb8d0b1b5d9bb46324662b42886055f0a878f0e_1_1 | fe4f39d21e7e15a9e22a0061daa646900484e9b882ade9cb2edf1cec63042ae5 |
Coding | codecontest | Write Python code to solve the task.
Lindsey Buckingham told Stevie Nicks ["Go your own way"](https://www.youtube.com/watch?v=6ul-cZyuYq4). Nicks is now sad and wants to go away as quickly as possible, but she lives in a 2D hexagonal world.
Consider a hexagonal tiling of the plane as on the picture below.
<image>
Ni... | Step 1: The given problem involves finding the smallest cost of a path from the origin to a given cell in a hexagonal tiling of the plane.
Step 2: The solution involves considering three possible paths to the target cell and calculating the cost of each path using the given costs for each direction of movement.
Step ... | b02b5d9d1e95bd6edfb66bea4bd0d1848e1ca10420e341884faae21493066263_1_1 | fe4f39d21e7e15a9e22a0061daa646900484e9b882ade9cb2edf1cec63042ae5 |
Coding | codecontest | Write Python code to solve the task.
Lindsey Buckingham told Stevie Nicks ["Go your own way"](https://www.youtube.com/watch?v=6ul-cZyuYq4). Nicks is now sad and wants to go away as quickly as possible, but she lives in a 2D hexagonal world.
Consider a hexagonal tiling of the plane as on the picture below.
<image>
Ni... | Step 1: This problem requires us to find the optimal path from the origin to a given cell in a 2D hexagonal world.
Step 2: We need to consider the costs associated with each direction, and calculate the smallest cost for the path.
Step 3: To solve this problem, we might consider identifying all possible paths from t... | 73296e18a53538898beff5f93b7783ae4ec7494148b38c28705fbf1f6f2c92ed_1_1 | fe4f39d21e7e15a9e22a0061daa646900484e9b882ade9cb2edf1cec63042ae5 |
Coding | codecontest | Write Python code to solve the task.
There is a graph of n rows and 10^6 + 2 columns, where rows are numbered from 1 to n and columns from 0 to 10^6 + 1:
<image>
Let's denote the node in the row i and column j by (i, j).
Initially for each i the i-th row has exactly one obstacle — at node (i, a_i). You want to move ... | Step 1: To solve this problem, we need to determine the minimal number of coins needed to reach the destination from the source. This can be done by analyzing the obstacles, their positions, and the possible path to reach the destination.
Step 2: To achieve this, we can loop through each test case, calculate the cost... | 6f71732500bf136f970afa29d47af5154e930b5ed02a5d00967cd944744e7c33_1_1 | 6bec63e55922f9c69fcadfa240eca251a9d15ec99b246fcf3aad46c4ef4faf91 |
Coding | codecontest | Write Python code to solve the task.
There is a graph of n rows and 10^6 + 2 columns, where rows are numbered from 1 to n and columns from 0 to 10^6 + 1:
<image>
Let's denote the node in the row i and column j by (i, j).
Initially for each i the i-th row has exactly one obstacle — at node (i, a_i). You want to move ... | Step 1: The next solution is a typical implementation of a given graph problem. We should extract the input and organize the workflow based on the given information.
Step 2: We need to perform the calculations according to certain conditions and print the result for each test case.
Step 3: During the implementation... | b41916908c1963d8efee58816652eeeb1f31ac75d4584733c9dfc1dddd018976_1_1 | 6bec63e55922f9c69fcadfa240eca251a9d15ec99b246fcf3aad46c4ef4faf91 |
Coding | codecontest | Write Python code to solve the task.
There is a graph of n rows and 10^6 + 2 columns, where rows are numbered from 1 to n and columns from 0 to 10^6 + 1:
<image>
Let's denote the node in the row i and column j by (i, j).
Initially for each i the i-th row has exactly one obstacle — at node (i, a_i). You want to move ... | Step 1: The question requires us to find the minimal number of coins needed to reach a certain position, considering obstacles and movements in both vertical and horizontal directions.
Step 2: We will loop through each test case and check the distances between the obstacles in each row to determine the minimum number... | 223a9b24823bcbe08f4941737b8f194049ef096948af8e962a1ea424d10e5ca8_1_1 | 6bec63e55922f9c69fcadfa240eca251a9d15ec99b246fcf3aad46c4ef4faf91 |
Coding | codecontest | Write Python code to solve the task.
There is a graph of n rows and 10^6 + 2 columns, where rows are numbered from 1 to n and columns from 0 to 10^6 + 1:
<image>
Let's denote the node in the row i and column j by (i, j).
Initially for each i the i-th row has exactly one obstacle — at node (i, a_i). You want to move ... | Step 1: The problem is to determine the minimal number of coins needed to move obstacles and reach node (n, 10^6+1) from node (1, 0) in the graph.
Step 2: We need to write a function to solve this task for multiple test cases.
Step 3: The function should take the number of test cases as input, then for each test cas... | f67001f7702d3413579fe73d9074ea84789535477ed62b01f98b0e5eaba1845d_1_1 | 6bec63e55922f9c69fcadfa240eca251a9d15ec99b246fcf3aad46c4ef4faf91 |
Coding | codecontest | Write Python code to solve the task.
Snark and Philip are preparing the problemset for the upcoming pre-qualification round for semi-quarter-finals. They have a bank of n problems, and they want to select any non-empty subset of it as a problemset.
k experienced teams are participating in the contest. Some of these te... | Step 1: To solve this problem, we need to determine if it's possible to make an interesting problem set, given the constraints that each team should know at most half of the selected problems.
Step 2: We can use a set to store the binary representation of the problems, where each bit represents whether a team knows t... | b70186c17caa4b5ba3a93a22fee8365c83c514814437537b1fc2070c3db49b53_1_1 | 29ccd4e9d22f4c796a0a53802f3ae6b568dea6914c3067f1524ff46a43e26136 |
Coding | codecontest | Write Python code to solve the task.
Snark and Philip are preparing the problemset for the upcoming pre-qualification round for semi-quarter-finals. They have a bank of n problems, and they want to select any non-empty subset of it as a problemset.
k experienced teams are participating in the contest. Some of these te... | Step 1: The given problem can be solved by simulating the selection of subsets of problems and checking if each team knows at most half of the selected problems.
Step 2: We need to evaluate all possible subsets of problems and validate if each team knows at most half of the selected problems within each subset.
Step ... | daab826c6f4efd19529b29d8a5adb37680c27ff2bac86a68721be9f6f46ad913_1_1 | 29ccd4e9d22f4c796a0a53802f3ae6b568dea6914c3067f1524ff46a43e26136 |
Coding | codecontest | Write Python code to solve the task.
Snark and Philip are preparing the problemset for the upcoming pre-qualification round for semi-quarter-finals. They have a bank of n problems, and they want to select any non-empty subset of it as a problemset.
k experienced teams are participating in the contest. Some of these te... | Step 1: The problem involves determining if it is possible to make an interesting problemset such that each experienced team knows at most half of the selected problems.
Step 2: To solve this, we need to consider all possible subsets of problems and ensure that each experienced team knows at most half of the problems... | 5938750d78c0457527e0a78745382ba87a63ef8862c1a8a823c95ee41d8ce7d4_1_1 | 29ccd4e9d22f4c796a0a53802f3ae6b568dea6914c3067f1524ff46a43e26136 |
Coding | codecontest | Write Python code to solve the task.
Snark and Philip are preparing the problemset for the upcoming pre-qualification round for semi-quarter-finals. They have a bank of n problems, and they want to select any non-empty subset of it as a problemset.
k experienced teams are participating in the contest. Some of these te... | Step 1: The problem requires us to determine if a subset of problems can be selected such that each experienced team knows at most half of the selected problems.
Step 2: We can start by reading the input, including the number of problems and the number of experienced teams, and the knowledge of each team for each pro... | 4ce2549b6c3c5b118b7ce9c5b2ea8761ddd2501fd4d5984b359ef5bd735a8c1e_1_1 | 29ccd4e9d22f4c796a0a53802f3ae6b568dea6914c3067f1524ff46a43e26136 |
Coding | codecontest | Write Python code to solve the task.
Little chandu is very fond of playing games. Recently, He found a few straws each of length 1 inches in the store room. He took all of them and decided to mark a rectangular area on the floor with straws and warn rest of the family members to not to enter that area so that he can pl... | Step 1: To solve this problem, we need to maximize the area of a rectangle that can be formed using the given number of straws.
Step 2: We observe that the area is maximized when the length and width of the rectangle are as close to each other as possible.
Step 3: The number of straws will determine the length and w... | f8292a8061a3464a22f4c703230448df307d6325952e00b62db03d42de9e9b30_1_1 | d1003ca90a3c26f5e6c4cc4ece2fd4c5909a5ca4e08690b764d69d7076c50f8f |
Coding | codecontest | Write Python code to solve the task.
Little chandu is very fond of playing games. Recently, He found a few straws each of length 1 inches in the store room. He took all of them and decided to mark a rectangular area on the floor with straws and warn rest of the family members to not to enter that area so that he can pl... | Step 1: To find the maximum area that can be covered with the given straws, we can form a rectangle while maximizing its area.
Step 2: We need to be aware of the rules for creating a rectangular area and the number of straws required to form it.
Step 3: The largest rectangle area will be maximized if we use the stra... | 48fa82cd6753e77d84ef611cafa31e7a35455d26ab1fa0b5fc3e6e9bbeb88cf9_1_1 | d1003ca90a3c26f5e6c4cc4ece2fd4c5909a5ca4e08690b764d69d7076c50f8f |
Coding | codecontest | Write Python code to solve the task.
Little chandu is very fond of playing games. Recently, He found a few straws each of length 1 inches in the store room. He took all of them and decided to mark a rectangular area on the floor with straws and warn rest of the family members to not to enter that area so that he can pl... | Step 1: To solve this problem, we need to identify the relationship between the number of straws and the maximum area of the rectangle that can be formed.
Step 2: We need to determine the length and width of the rectangle based on the number of straws available.
Step 3: We can start by taking half of the available s... | fa2622694ebdaa6a0b2eed35877f0f8d2fd505e1ee9b562bb094081ba59ba9c9_1_1 | d1003ca90a3c26f5e6c4cc4ece2fd4c5909a5ca4e08690b764d69d7076c50f8f |
Coding | codecontest | Write Python code to solve the task.
Little chandu is very fond of playing games. Recently, He found a few straws each of length 1 inches in the store room. He took all of them and decided to mark a rectangular area on the floor with straws and warn rest of the family members to not to enter that area so that he can pl... | Step 1: To solve this problem, we need to find the maximum area that can be formed using a given number of straws to create a rectangle.
Step 2: We can calculate the sides of the rectangle based on the number of straws, and then calculate the area using these sides.
Step 3: We need to consider the cases where the nu... | 53a2d2cf5b1371d4ae75bf60815b4872e35b3a181dbbe654c74b30bce8fabbe4_1_1 | d1003ca90a3c26f5e6c4cc4ece2fd4c5909a5ca4e08690b764d69d7076c50f8f |
Coding | codecontest | Write Python code to solve the task.
In this problem we consider a very simplified model of Barcelona city.
Barcelona can be represented as a plane with streets of kind x = c and y = c for every integer c (that is, the rectangular grid). However, there is a detail which makes Barcelona different from Manhattan. There ... | Step 1: The problem requires finding the minimal possible distance between two points A and B on a plane with streets and an avenue (Avinguda Diagonal).
Step 2: The complexity arises from the presence of the avenue, which can affect the minimum distance calculation, particularly if the endpoints are located on the d... | d5bfce969d6d3fc395b992a868e67d2e1cc1bcc157370aa10df81663b7a1ab84_1_1 | ad0d9755372e982c41ac25b5e4ab0d61c7fdea891690db2c0a127e2e3f185497 |
Coding | codecontest | Write Python code to solve the task.
In this problem we consider a very simplified model of Barcelona city.
Barcelona can be represented as a plane with streets of kind x = c and y = c for every integer c (that is, the rectangular grid). However, there is a detail which makes Barcelona different from Manhattan. There ... | Step 1: The problem deals with finding the minimal possible distance while walking in a simplified model of Barcelona city.
Step 2: We need to consider the different cases due to the presence of the avenue Avinguda Diagonal, and accordingly calculate the shortest distance between two points.
Step 3: We can implemen... | 9e2434e5a903e1a7ef3f4747473c7064ba10c9f9e86d2a0c402aa11a7789e47b_1_1 | ad0d9755372e982c41ac25b5e4ab0d61c7fdea891690db2c0a127e2e3f185497 |
Coding | codecontest | Write Python code to solve the task.
In this problem we consider a very simplified model of Barcelona city.
Barcelona can be represented as a plane with streets of kind x = c and y = c for every integer c (that is, the rectangular grid). However, there is a detail which makes Barcelona different from Manhattan. There ... | Step 1: To solve this problem, we need to consider the position of points A and B relative to the Diagonal Avenue.
Step 2: We then calculate the distance from each point to the avenue and the distance between the points.
Step 3: By traversing along the avenue and accounting for the total distance, we can find the mi... | 0048383640388fbb4f4973052ae245168b9f6ad68ebfb1c51d3be55a50592f0e_1_1 | ad0d9755372e982c41ac25b5e4ab0d61c7fdea891690db2c0a127e2e3f185497 |
Coding | codecontest | Write Python code to solve the task.
In this problem we consider a very simplified model of Barcelona city.
Barcelona can be represented as a plane with streets of kind x = c and y = c for every integer c (that is, the rectangular grid). However, there is a detail which makes Barcelona different from Manhattan. There ... | Step 1: We need to calculate the minimum possible distance to travel between points A and B in Barcelona.
Step 2: We can model the city as a plane with streets and an avenue represented by a diagonal line.
Step 3: We need to consider the different possible routes (horizontally, vertically, or diagonally) to find the... | b18cb83e1b24afe19349680995fe7e618b660b1d2cf1b476a52056d512708d6f_1_1 | ad0d9755372e982c41ac25b5e4ab0d61c7fdea891690db2c0a127e2e3f185497 |
Coding | codecontest | Write Python code to solve the task.
One evening Rainbow Dash and Fluttershy have come up with a game. Since the ponies are friends, they have decided not to compete in the game but to pursue a common goal.
The game starts on a square flat grid, which initially has the outline borders built up. Rainbow Dash and Flutt... | Step 1: To solve this problem, we need to determine the minimum number of turns required to build a chess coloring pattern on the grid of the game.
Step 2: We'll write a function to calculate the number of turns required based on the size of the grid.
Step 3: The number of turns required to form a chess coloring pat... | e57f832d120db166f7c8bdfa30b54e882dd8dfa728223b53d6c0ae2d6e8055e6_1_1 | 7985c1dfae8cf39cf56678d33782482d454479e28deb1c809be796739d1a1061 |
Coding | codecontest | Write Python code to solve the task.
One evening Rainbow Dash and Fluttershy have come up with a game. Since the ponies are friends, they have decided not to compete in the game but to pursue a common goal.
The game starts on a square flat grid, which initially has the outline borders built up. Rainbow Dash and Flutt... | Step 1: To solve this problem, we need to determine the minimum number of turns required to build a chess coloring pattern on a grid of a given size.
Step 2: We can approach this by analyzing the pattern of alternating colors in a chess coloring.
Step 3: We can observe that for a given grid size, the minimum number ... | 7177453553313d54502febf4353b7f2d16a361af1e53154d1f2bdc6c4448c195_1_1 | 7985c1dfae8cf39cf56678d33782482d454479e28deb1c809be796739d1a1061 |
Coding | codecontest | Write Python code to solve the task.
One evening Rainbow Dash and Fluttershy have come up with a game. Since the ponies are friends, they have decided not to compete in the game but to pursue a common goal.
The game starts on a square flat grid, which initially has the outline borders built up. Rainbow Dash and Flutt... | Step 1:
The problem requires finding the minimum number of turns needed for Rainbow Dash and Fluttershy to create a chess-colored pattern on a grid. The pattern should cover the entire grid, and each square should be adjacent only to squares of different colors.
To solve this problem, we need to determine the number ... | 3136b38f76d06a4195fa336a1d8916989c92cfe3c1a41f05f61dada39eb3ab01_1_1 | 7985c1dfae8cf39cf56678d33782482d454479e28deb1c809be796739d1a1061 |
Coding | codecontest | Write Python code to solve the task.
One evening Rainbow Dash and Fluttershy have come up with a game. Since the ponies are friends, they have decided not to compete in the game but to pursue a common goal.
The game starts on a square flat grid, which initially has the outline borders built up. Rainbow Dash and Flutt... | Step 1: To solve this problem, we need to find the minimum number of turns required to build a chess coloring pattern with the given grid size.
Step 2: We can iterate through each grid size and calculate the minimum number of turns required using a formula, and then print the result.
Step 3: The formula to calculate... | ea40531aeb6f0f3ab0a587ca73cd0c92e73712659e253f40a71be5854e6a4ff1_1_1 | 7985c1dfae8cf39cf56678d33782482d454479e28deb1c809be796739d1a1061 |
Coding | codecontest | Write Python code to solve the task.
Do you remember how Kai constructed the word "eternity" using pieces of ice as components?
Little Sheldon plays with pieces of ice, each piece has exactly one digit between 0 and 9. He wants to construct his favourite number t. He realized that digits 6 and 9 are very similar, so h... | Step 1: To solve this problem, we need to account for the "digital mimicry" effect where digits 6 and 9, as well as digits 2 and 5, can be interchanged.
Step 2: We need to calculate how many instances of the given number t can be constructed using the sequence of ice pieces.
Step 3: We should consider transforming '... | 03477c0a8bce16003cacf349e1bcd07a87cda0e7058e6217e0b600a2a9ae2e64_1_1 | fdd31322bcd8347e561e2912989379656c0e9754a60eca5e6059f1ed2be95b81 |
Coding | codecontest | Write Python code to solve the task.
Do you remember how Kai constructed the word "eternity" using pieces of ice as components?
Little Sheldon plays with pieces of ice, each piece has exactly one digit between 0 and 9. He wants to construct his favourite number t. He realized that digits 6 and 9 are very similar, so h... | Step 1: The problem requires us to count the maximum number of instances of Sheldon's favorite number 't' that can be constructed using the given sequence of ice pieces.
Step 2: To solve this, we can iterate through the sequence of ice pieces and count the occurrences of each digit, taking into account the effect of ... | 49dc2452ce2acd738ce5a0f8cd9794af43f2ae89a9371fa732560c614a550dc3_1_1 | fdd31322bcd8347e561e2912989379656c0e9754a60eca5e6059f1ed2be95b81 |
Coding | codecontest | Write Python code to solve the task.
Do you remember how Kai constructed the word "eternity" using pieces of ice as components?
Little Sheldon plays with pieces of ice, each piece has exactly one digit between 0 and 9. He wants to construct his favourite number t. He realized that digits 6 and 9 are very similar, so h... | Step 1: The problem requires us to calculate how many instances of Sheldon's favorite number he can construct using the given sequence of ice pieces.
Step 2: We can start by implementing a function to process and replace the digits on the ice pieces based on the "Digital Mimicry" effect.
Step 3: We'll use the proces... | 73036d88e37d0be400029b68cfb98e4a5631a83728aa12f86b877864c2bbff85_1_1 | fdd31322bcd8347e561e2912989379656c0e9754a60eca5e6059f1ed2be95b81 |
Coding | codecontest | Write Python code to solve the task.
Do you remember how Kai constructed the word "eternity" using pieces of ice as components?
Little Sheldon plays with pieces of ice, each piece has exactly one digit between 0 and 9. He wants to construct his favourite number t. He realized that digits 6 and 9 are very similar, so h... | Step 1: To solve this problem, we need to calculate how many instances of the target number can be constructed using the given sequence of ice pieces.
Step 2: We need to consider the effect of "Digital Mimicry" on the ice pieces, where the rotation of 2 produces 5 and 6 produces 9.
Step 3: We also need to compare th... | 5b3b1bd08166136987af2afe95ae3ef5a3dddc390cc92b0811d8656650d7e44e_1_1 | fdd31322bcd8347e561e2912989379656c0e9754a60eca5e6059f1ed2be95b81 |
Coding | codecontest | Write Python code to solve the task.
A permutation is a sequence of integers from 1 to n of length n containing each number exactly once. For example, (1), (4, 3, 5, 1, 2), (3, 2, 1) are permutations, and (1, 1), (4, 3, 1), (2, 3, 4) are not.
There are many tasks on permutations. Today you are going to solve one of t... | Step 1: We are given an array that contains mixed permutations of integers from 1 to n, and the task is to restore the initial permutations.
Step 2: We need to determine if the array can be split into several permutations and output the permutations in a specific format.
Step 3: To solve the problem, we need to sc... | e65a1c63cf0899d654ccbecc61c1fd29379818f36e317523ceed0b2d666c0a8f_1_1 | 1c40df510eda5135bf069b875d7825dbd9bb881ae192ac41b6c37e05606cf6c6 |
Coding | codecontest | Write Python code to solve the task.
A permutation is a sequence of integers from 1 to n of length n containing each number exactly once. For example, (1), (4, 3, 5, 1, 2), (3, 2, 1) are permutations, and (1, 1), (4, 3, 1), (2, 3, 4) are not.
There are many tasks on permutations. Today you are going to solve one of t... | Step 1: To solve this problem, we need to check if the given array can be split into several permutations so that every element of the array belongs to exactly one permutation.
Step 2: We can use a count array to track the occurrences of each number in the array and then assign a unique number to each occurrence to i... | 29432df7ebbd2dad4bb3d01dda872fe43abc09ff4adcc170ffadad4ddaf71d06_1_1 | 1c40df510eda5135bf069b875d7825dbd9bb881ae192ac41b6c37e05606cf6c6 |
Coding | codecontest | Write Python code to solve the task.
A permutation is a sequence of integers from 1 to n of length n containing each number exactly once. For example, (1), (4, 3, 5, 1, 2), (3, 2, 1) are permutations, and (1, 1), (4, 3, 1), (2, 3, 4) are not.
There are many tasks on permutations. Today you are going to solve one of t... | Step 1: In this problem, we need to check if the given array can be split into several permutations so that each element of the array belongs to exactly one permutation.
Step 2: The main logic of the solution is to determine if it's possible to restore the initial permutations from the mixed array, and if so, provide... | 64244a5e9d55d7317989da937c331c67ccd41ce0a076bca48915c29aa93ef5a2_1_1 | 1c40df510eda5135bf069b875d7825dbd9bb881ae192ac41b6c37e05606cf6c6 |
Coding | codecontest | Write Python code to solve the task.
A permutation is a sequence of integers from 1 to n of length n containing each number exactly once. For example, (1), (4, 3, 5, 1, 2), (3, 2, 1) are permutations, and (1, 1), (4, 3, 1), (2, 3, 4) are not.
There are many tasks on permutations. Today you are going to solve one of t... | Step 1: The problem requires us to take a mixed array and determine if we can split it into several permutations.
Step 2: We first read the input, which consists of the array size and the mixed array of integers.
Step 3: Then we need to check if the mixed array can be split into permutations.
Step 4: We also need t... | 58ebeec27b045117124826197555538d5f6092abcda7862fe23882aebe6b5551_1_1 | 1c40df510eda5135bf069b875d7825dbd9bb881ae192ac41b6c37e05606cf6c6 |
Coding | codecontest | Write Python code to solve the task.
The semester is already ending, so Danil made an effort and decided to visit a lesson on harmony analysis to know how does the professor look like, at least. Danil was very bored on this lesson until the teacher gave the group a simple task: find 4 vectors in 4-dimensional space, su... | Step 1: To solve this problem, we need to generate 2^k vectors in 2^k-dimensional space, such that every coordinate of every vector is 1 or -1 and any two vectors are orthogonal.
Step 2: A solution would be to use recursion to generate all possible combinations of vectors and check if they are orthogonal. We need to ... | 1496ab35659edf985b280de85d8318de75927c3dd19f4299438e0c59b285d278_1_1 | 9c7e398146996d246ccbc561fc60cb7cce7f641532b86dc1b76b9d02aaaf585a |
Coding | codecontest | Write Python code to solve the task.
The semester is already ending, so Danil made an effort and decided to visit a lesson on harmony analysis to know how does the professor look like, at least. Danil was very bored on this lesson until the teacher gave the group a simple task: find 4 vectors in 4-dimensional space, su... | Step 1: To solve this problem, we need to generate 2^k vectors in 2k-dimensional space such that every coordinate of every vector is either 1 or -1, and any two vectors are orthogonal.
Step 2: We can start by defining a function to create a new vector based on an existing vector, with an additional 1 or -1 appended ... | 39ade6fdbe58a42d64875a2475a84353f7e7a3b6603efff213880b8a9471f1e4_1_1 | 9c7e398146996d246ccbc561fc60cb7cce7f641532b86dc1b76b9d02aaaf585a |
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