question_content stringlengths 389 5.43k | think_content stringlengths 2.31k 108k | solution_content stringlengths 1.32k 8.53k | prompt_idx int64 16k 16.7k | pseudoteacher_responses stringlengths 4.62k 214k |
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Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.Similar setting of the [previous](https://www.codewars.com/kata/progressive-spiral-number-position/), this time you are called to identify in which "branch" of the spiral a given nu... | Okay, let's tackle this problem. So, the task is to find out which branch a given number n falls into based on the spiral pattern described. The examples show that for numbers like 1, it's branch 0. For 5, it's 1, 25 is 3, and numbers like 30 and 50 are 0. Hmm.
First, I need to understand how the branches are structur... |
To solve this problem, we need to determine the branch of a spiral grid in which a given number falls. The spiral grid is structured such that each layer (or ring) around the center number (1) forms concentric squares with increasing odd side lengths. Each layer is divided into four branches, and the task is to ident... | 16,000 | Okay, I need to solve this problem where I have to determine the branch of a given number in this spiral pattern. Let's start by understanding the problem thoroughly.
The branches are numbered in a specific way. Let me look at the example they provided. The branches are labeled from 0 to 3. For instance, numbers 10-13... |
"Generate an executable Python function generated from the given prompt. The function should take st(...TRUNCATED) | "Okay, I need to solve this problem where I have to compute the sum of squares of terms in the Golom(...TRUNCATED) | "\n\nTo solve this problem, we need to efficiently compute the sum of squares of terms in the Golomb(...TRUNCATED) | 16,001 | "Okay, I need to solve this problem where I have to compute the sum of squares of the Golomb sequenc(...TRUNCATED) |
"Generate an executable Python function generated from the given prompt. The function should take st(...TRUNCATED) | "Okay, I need to solve this programming problem. Let me read the problem statement carefully.\n\nThe(...TRUNCATED) | "\n\nTo solve this problem, we need to determine the maximum possible price of a good after increasi(...TRUNCATED) | 16,002 | "Okay, let's see. I need to solve this problem where for each test case with n and m, I have to find(...TRUNCATED) |
"Generate an executable Python function generated from the given prompt. The function should take st(...TRUNCATED) | "Okay, I need to solve this problem where I have to find the number of special substrings in a binar(...TRUNCATED) | "\n\nTo solve this problem, we need to determine the beauty of a binary string, defined as the numbe(...TRUNCATED) | 16,003 | "Okay, let's see. The problem is to calculate the beauty of a binary string, which is the number of (...TRUNCATED) |
"Generate an executable Python function generated from the given prompt. Return the function body wi(...TRUNCATED) | "Okay, I need to write a Python function called bingo that checks if the input array can spell the w(...TRUNCATED) | "\n\nTo solve this problem, we need to determine if a given array of numbers can spell the word \"BI(...TRUNCATED) | 16,004 | "Okay, I need to solve this BINGO problem. Let's see. The task is to check if the given array of num(...TRUNCATED) |
"Generate an executable Python function generated from the given prompt. The function should take st(...TRUNCATED) | "Okay, let's see. I need to solve this problem where balls are dropped into a grid, and each cell's (...TRUNCATED) | "\n\nTo solve this problem, we need to simulate the movement of balls through a grid where each cell(...TRUNCATED) | 16,005 | "Okay, let's see. I need to solve this programming problem where balls are dropped onto a grid, and (...TRUNCATED) |
"Generate an executable Python function generated from the given prompt. The function should take st(...TRUNCATED) | "Okay, let's try to solve this problem. Hmm, the problem statement says that Chef and Sasha each hav(...TRUNCATED) | "\n\nTo solve this problem, we need to determine the expected number of times Chef will be kissed by(...TRUNCATED) | 16,006 | "Okay, let's see. The problem is about calculating the expected number of times Chef will be kissed (...TRUNCATED) |
"Generate an executable Python function generated from the given prompt. The function should take st(...TRUNCATED) | "Okay, let's tackle this problem step by step. So, the task is to compute the probability that Alice(...TRUNCATED) | "\n\nTo solve this problem, we need to determine the probability that Alice will enjoy her school tr(...TRUNCATED) | 16,007 | "Okay, let's see. The problem is about calculating the probability that Alice's friends are at least(...TRUNCATED) |
"Generate an executable Python function generated from the given prompt. The function should take st(...TRUNCATED) | "Okay, I need to solve this problem where I have to find the sum of all numbers between l and r (inc(...TRUNCATED) | "\n\nTo solve this problem, we need to calculate the sum of numbers between two integers \\( l \\) a(...TRUNCATED) | 16,008 | "Okay, I need to solve this problem where I have to calculate the sum of numbers between l and r inc(...TRUNCATED) |
"Generate an executable Python function generated from the given prompt. The function should take st(...TRUNCATED) | "Okay, let's see. The problem is to compute for each b_j the GCD of all a_i + b_j. Hmm. So for each (...TRUNCATED) | "\n\nTo solve this problem, we need to compute the greatest common divisor (GCD) of the sums of elem(...TRUNCATED) | 16,009 | "Okay, let's see. I need to find the greatest common divisor (GCD) of all elements in the sequence a(...TRUNCATED) |
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