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You are organizing a multi-stage relay race where teams exchange batons at different checkpoints. Each team has multiple members and each member runs a segment of the race before passing the baton to the next member at a checkpoint. The objective is to minimize the total time taken to complete the race by all teams. Y...
<think> Okay, so I've got this problem to solve, and I'm a bit stuck, but I'll try to break it down step by step. Let me read the problem again. So, the problem is about organizing a relay race with multiple teams. Each team has several members, and they pass the baton at checkpoints. The goal is to minimize the total...
[ { "from": "human", "value": "You are organizing a multi-stage relay race where teams exchange batons at different checkpoints. Each team has multiple members and each member runs a segment of the race before passing the baton to the next member at a checkpoint. The objective is to minimize the total time ta...
You are given a set of blocks arranged in a 1-dimensional space. Each block can either be empty, have a bomb, or possess an obstacle. You want to find out the minimum number of moves required to move from the start of the block to the end of the block. Each move can take you from one block to the adjacent block, but th...
<think> Okay, I have to solve this problem where I need to find the minimum number of moves to get from the start to the end of a 1D block arrangement. Let's see the rules again. So each block can be '.', 'B', or 'O'. I can't move into a block with B or O. Also, I can only move forward, to the right. Hmm, wait, so mov...
[ { "from": "human", "value": "You are given a set of blocks arranged in a 1-dimensional space. Each block can either be empty, have a bomb, or possess an obstacle. You want to find out the minimum number of moves required to move from the start of the block to the end of the block. Each move can take you fro...
A farmer has a rectangular field of dimensions n × m, where n is the number of rows and m is the number of columns. He has two types of seeds: type A and type B. Each type of seed can be planted in cells of the field following specific rules: - A cell can be planted with type A seed if it has no more than k adjacent c...
<think> Okay, so I need to solve this problem where a farmer plants seeds on a grid in two steps: first type A and then type B, with specific rules. Hmm, the goal is to find the maximum number of each type that can be planted. Let me think about the process. First, I need to plant as many A seeds as possible, respecti...
[ { "from": "human", "value": "A farmer has a rectangular field of dimensions n × m, where n is the number of rows and m is the number of columns. He has two types of seeds: type A and type B. Each type of seed can be planted in cells of the field following specific rules:\n\n- A cell can be planted with type...
We'll create a function that takes in a parameter: * a string which is a valid mathematical expression only consisting of non-negative integers, '+', '-', '*', '/', '(', and ')'. Your function should evaluate the given mathematical expression and return the result as an integer. Note that integer division should trun...
<think> Okay, I need to write a Python function called evaluate_expression that takes a string as input and evaluates it as a mathematical expression. The result should be an integer, with division truncating towards zero. Hmm. Wait, how do I approach this? The string can have '(', ')', '+', '-', '*', '/'. So it's a s...
[ { "from": "human", "value": "We'll create a function that takes in a parameter:\n\n* a string which is a valid mathematical expression only consisting of non-negative integers, '+', '-', '*', '/', '(', and ')'.\n\nYour function should evaluate the given mathematical expression and return the result as an in...
In a system where data packets are sent from a source to a destination, consider a scenario where you have a sequence of packets identified by their indices. Each packet can arrive out of order. You need to reorder the packets based on their original sequence before further processing. Given `n` packets, write a funct...
<think> Okay, I need to solve this problem where I have to reorder some packets based on their indices. Let me read the problem statement carefully to understand what's required. So, the function is called reorder_packets and it takes two lists: packets and indices. The packets are the data, and the indices tell us th...
[ { "from": "human", "value": "In a system where data packets are sent from a source to a destination, consider a scenario where you have a sequence of packets identified by their indices. Each packet can arrive out of order. You need to reorder the packets based on their original sequence before further proc...
You are given a string containing only characters '(', ')', '{', '}', '[' and ']'. This string is considered valid if it meets the following criteria: 1. Every opening bracket has a corresponding closing bracket of the same type. 2. Opening brackets are closed in the correct order, i.e., a closing bracket closes the m...
<think> Okay, I need to solve this problem where I have to determine if a given string of brackets is valid. Hmm, I remember that this is a classic stack problem. So the idea is to use a stack data structure to keep track of the opening brackets and ensure that the closing brackets match correctly in order. Let me thi...
[ { "from": "human", "value": "You are given a string containing only characters '(', ')', '{', '}', '[' and ']'. This string is considered valid if it meets the following criteria:\n\n1. Every opening bracket has a corresponding closing bracket of the same type.\n2. Opening brackets are closed in the correct...
Given a list of integers, you need to determine whether you can partition the list into exactly two non-empty subsets such that the sum of the elements in both subsets is the same. Write a function `canPartition(nums)` that takes a list of integers `nums` and returns `True` if such a partition is possible, otherwise r...
<think> Alright, I need to solve this problem where I have to determine if a list of integers can be partitioned into two non-empty subsets with equal sum. Hmm, let's think about how to approach this. First, I remember that for such a partition to exist, the total sum of the array must be even. Because if the total is...
[ { "from": "human", "value": "Given a list of integers, you need to determine whether you can partition the list into exactly two non-empty subsets such that the sum of the elements in both subsets is the same.\n\nWrite a function `canPartition(nums)` that takes a list of integers `nums` and returns `True` i...
In the land of Azedonia, there is a popular game played among children called "Magic Maze." A Magic Maze is a rectangular grid with walls and open cells. Each cell is either an open cell, denoted by '.', or a wall, denoted by '#'. Players can move up, down, left, or right, but can only pass through open cells. The goa...
<think> Okay, so I have this programming problem to solve. Let's see what it's about. Oh right, it's about finding the shortest path in a maze. Oh right, the maze is a grid where some cells are open (.) and some are walls (#). The task is to find the minimum number of steps to get from the start to the target. If it's ...
[ { "from": "human", "value": "In the land of Azedonia, there is a popular game played among children called \"Magic Maze.\" A Magic Maze is a rectangular grid with walls and open cells. Each cell is either an open cell, denoted by '.', or a wall, denoted by '#'. Players can move up, down, left, or right, but...
Given a set of integers, you are to mark a specific integer by placing it at a designated index and then output the adjusted list. The designated index will be provided along with the list of integers. To make it more interesting, if the designated index exceeds the length of the list, the integer should be appended a...
<think> Okay, let's see. I need to solve this problem where I have to insert a specific integer into a list at a given index. Hmm. The input gives me the initial list, the specific integer x, and the index m where I need to place it. But wait, if m is larger than the list's length, I just append it at the end. So, fir...
[ { "from": "human", "value": "Given a set of integers, you are to mark a specific integer by placing it at a designated index and then output the adjusted list. The designated index will be provided along with the list of integers.\n\nTo make it more interesting, if the designated index exceeds the length of...
A gaming company has developed a new video game for which players can collect various items during their adventure. Each item can either increase the player's health, attack power, or defense capabilities. The game records the sequence of items collected by the player and computes the total increase in each attribute. ...
<think> Okay, I need to solve this problem where I have to compute the total enhancements for a player's attributes based on the items they collected. So, let's break it down. The problem says that each item is either H, A, or D, each contributing to health, attack, or defense. My task is to sum up all the H values, A...
[ { "from": "human", "value": "A gaming company has developed a new video game for which players can collect various items during their adventure. Each item can either increase the player's health, attack power, or defense capabilities. The game records the sequence of items collected by the player and comput...
You are given a sequence of integers representing stock prices of a company over consecutive days. Write a function that calculates the maximum profit that can be made by buying and then later selling one share of the stock. You must buy before you sell. The stock prices are given as a list of integers `prices` where ...
<think> Okay, I have to solve this problem where I need to calculate the maximum profit from a list of stock prices. The task is to buy a stock and then sell it later to get the maximum possible profit. And I must return 0 if no profit is possible. Let me think about how to approach this. So, I remember that for this ...
[ { "from": "human", "value": "You are given a sequence of integers representing stock prices of a company over consecutive days. Write a function that calculates the maximum profit that can be made by buying and then later selling one share of the stock. You must buy before you sell.\n\nThe stock prices are ...
You are required to implement a function that processes a string of lowercase letters and returns a new string where each character is replaced by the next character in the alphabet. The function should handle the wrap-around from 'z' to 'a'. - For example: - If the input is `'abc'`, the output should be `'bcd'`. ...
<think> Okay, I need to write a Python function called shift_alphabet that takes a string as input and returns a new string where each character is replaced by the next character in the alphabet. Oh right, and wrap around from 'z' to 'a'. Also, I have to ignore any non-alphabetic characters. Hmm. So first, I think abo...
[ { "from": "human", "value": "You are required to implement a function that processes a string of lowercase letters and returns a new string where each character is replaced by the next character in the alphabet. The function should handle the wrap-around from 'z' to 'a'.\n\n- For example:\n - If the input ...
Alice is making a staircase out of blocks. Using the blocks, she wants to build a staircase where each step has exactly one more block than the previous step. For instance, a staircase of height 3 would use 1, 2, and 3 blocks for a total of 6 blocks. Given the total number of blocks **B**, determine the maximum height...
<think> Okay, I need to solve this problem where I have to find the maximum height of a staircase given a certain number of blocks, B. Let's think about how to approach this. First, the staircase is built in a way that each step has one more block than the previous. So for height 1, it's 1 block. Height 2 is 1+2=3 blo...
[ { "from": "human", "value": "Alice is making a staircase out of blocks. Using the blocks, she wants to build a staircase where each step has exactly one more block than the previous step. For instance, a staircase of height 3 would use 1, 2, and 3 blocks for a total of 6 blocks.\n\nGiven the total number of...
You have recently joined a company that tracks its employees' weekly working hours to monitor their productivity and performance. Each employee has a unique ID, and their working hours are recorded on a daily basis from Monday to Sunday. Your task is to calculate the total working hours for each employee for the given ...
<think> Okay, I have to solve this problem where I need to determine the employee with the highest total working hours in a week. Let's think about how to approach this. First, the input starts with an integer n, which is the number of employees. Then for each employee, there's a line with their ID followed by seven i...
[ { "from": "human", "value": "You have recently joined a company that tracks its employees' weekly working hours to monitor their productivity and performance. Each employee has a unique ID, and their working hours are recorded on a daily basis from Monday to Sunday. Your task is to calculate the total worki...
Mushroom Kingdom is under attack and Mario needs to jump between platforms to collect power-ups and defeat enemies. He needs to know the minimum number of jumps required to reach the final platform. Mario starts at platform 1 and needs to get to platform n (the last platform). Each platform $i$ has a maximum jump leng...
<think> Okay, so I've got this problem to solve. Mario needs to get from platform 1 to platform n with the minimum number of jumps. Each platform has a maximum jump length, which determines the farthest he can jump from there. Hmm. Let me think about the problem. The goal is to find the minimum jumps, so maybe a greed...
[ { "from": "human", "value": "Mushroom Kingdom is under attack and Mario needs to jump between platforms to collect power-ups and defeat enemies. He needs to know the minimum number of jumps required to reach the final platform.\n\nMario starts at platform 1 and needs to get to platform n (the last platform)...
In the world of role-playing games, one key character attribute is their combat capabilities, determined partly by their weapon proficiency levels. For a particular RPG scenario, your task is to create a function that calculates the total damage a character can deal based on their weapon proficiency levels and the weap...
<think> Okay, I need to solve this problem where I have to calculate the total damage a character deals based on their weapon type and proficiency level. Let me think about how to approach this. First, the function is called total_damage and takes two arguments: weapon type (string) and proficiency level (integer). Th...
[ { "from": "human", "value": "In the world of role-playing games, one key character attribute is their combat capabilities, determined partly by their weapon proficiency levels. For a particular RPG scenario, your task is to create a function that calculates the total damage a character can deal based on the...
*Let's test your ability to identify valid passwords. You are to create a function that checks if a given password is strong based on certain criteria.* You will create a method `is_strong_password(password)` that verifies the strength of a password based on the following rules: - The password should be at least 8 ch...
<think> Okay, I need to write a Python function called is_strong_password that checks if a given password is strong based on certain criteria. Let me think about what each of these criteria entails. First, the password must be at least 8 characters long. That's straightforward. So, I'll check the length of the passwor...
[ { "from": "human", "value": "*Let's test your ability to identify valid passwords. You are to create a function that checks if a given password is strong based on certain criteria.*\n\nYou will create a method `is_strong_password(password)` that verifies the strength of a password based on the following rul...
Alex is organizing a workshop on competitive programming. He wants to distribute some unique problem sets among n participants. Each problem set contains exactly m problems. Alex follows these rules strictly: 1. Each participant must receive a distinct problem set. 2. The problem numbers within each set must be uniqu...
<think> Okay, I have to solve this problem where Alex is organizing a workshop and needs to distribute unique problem sets. Each participant gets a distinct set, and each set has m unique problems. I need to find the minimum number of distinct problems he needs to prepare. Let me think about the problem. The key poin...
[ { "from": "human", "value": "Alex is organizing a workshop on competitive programming. He wants to distribute some unique problem sets among n participants. Each problem set contains exactly m problems. \n\nAlex follows these rules strictly:\n1. Each participant must receive a distinct problem set.\n2. The ...
You are given a sequence of integers in the form of a list, where each integer represents the height of a building. You can see the sunset if no taller building obscures your view to the west. You are standing on the far right end of the list and looking to the left. Write a function to count how many buildings have a...
<think> Okay, I need to solve this problem where I have to count the number of buildings that can see the sunset. The person is standing on the far right end, looking to the left. So, for a building to have a view, all the buildings to its right must be shorter than it. Because if any building to the right is taller, i...
[ { "from": "human", "value": "You are given a sequence of integers in the form of a list, where each integer represents the height of a building. You can see the sunset if no taller building obscures your view to the west.\n\nYou are standing on the far right end of the list and looking to the left. Write a ...
You are given a string representing a decimal number. Write a function that converts the decimal number string to its binary representation, without using any built-in Python functions for conversion. The binary representation should be returned as a string prefixed with "0b". Complete the function `decimal_to_binary...
<think> Okay, I need to write a Python function called decimal_to_binary that takes a string representing a decimal number and returns its binary representation as a string prefixed with "0b". And I can't use any built-in conversion functions. Hmm, right, so I have to implement the conversion myself. Let me think abou...
[ { "from": "human", "value": "You are given a string representing a decimal number. Write a function that converts the decimal number string to its binary representation, without using any built-in Python functions for conversion.\n\nThe binary representation should be returned as a string prefixed with \"0b...
Write a program that determines if given three lengths can form a triangle. Conditions for a valid triangle: - The sum of any two sides should be greater than the third side. Given three integers a, b, and c, the program should print "Yes" if they can form a triangle, otherwise print "No". Constraints: * 1 ≤ a, b...
<think> Okay, I need to write a Python program that determines if three given lengths can form a triangle. Hmm, what are the conditions for a valid triangle? Oh right, the sum of any two sides should be greater than the third side. So for three sides a, b, and c, all three conditions must be met: a + b > c, a + c > b, ...
[ { "from": "human", "value": "Write a program that determines if given three lengths can form a triangle. \n\nConditions for a valid triangle:\n\n- The sum of any two sides should be greater than the third side.\n\nGiven three integers a, b, and c, the program should print \"Yes\" if they can form a triangle...
You are given a grid with dimensions m x n where each cell in the grid can either be empty or contain a wall. You can move up, down, left, or right from an empty cell to another empty cell, but you cannot pass through walls. The task is to determine the number of distinct paths from the top-left corner (0, 0) to the bo...
<think> Okay, I need to solve this problem where I have to find the number of distinct paths from the top-left corner to the bottom-right corner of a grid. The grid has some walls that I can't pass through. So, the task is to compute this number modulo 1e9+7. Hmm, the first thing I think is that this is a dynamic prog...
[ { "from": "human", "value": "You are given a grid with dimensions m x n where each cell in the grid can either be empty or contain a wall. You can move up, down, left, or right from an empty cell to another empty cell, but you cannot pass through walls. The task is to determine the number of distinct paths ...
You are given a rectangular matrix of integers where each cell represents a height at that point. Your task is to find the highest point in the matrix and the distance from the highest point to the lowest point in the matrix. The distance between two points `(x1, y1)` and `(x2, y2)` is defined as the absolute differenc...
<think> Okay, so I need to solve this problem where I'm given a matrix of integers representing heights, and I have to find the maximum distance between the highest and lowest points. Hmm. Let's see. First, I need to understand the problem clearly. The distance is the absolute difference of their heights, not their po...
[ { "from": "human", "value": "You are given a rectangular matrix of integers where each cell represents a height at that point. Your task is to find the highest point in the matrix and the distance from the highest point to the lowest point in the matrix. The distance between two points `(x1, y1)` and `(x2, ...
Rotate the elements of a list to the right by a specified number of steps. The rotation should wrap elements around, such that elements shifted off the end appear at the front. Constraints * 1 ≤ length of the list ≤ 100000 * -1000000 ≤ each element value ≤ 1000000 * 0 ≤ number of steps ≤ 100000 Input In the first l...
<think> Okay, I need to solve this problem where I have to rotate a list of integers to the right by a certain number of steps. Hmm, rotation means that elements shifted off the end come back to the front. Let's think about how to approach this. So, the input is two lines: the first line is the list of integers, and t...
[ { "from": "human", "value": "Rotate the elements of a list to the right by a specified number of steps. The rotation should wrap elements around, such that elements shifted off the end appear at the front.\n\nConstraints\n\n* 1 ≤ length of the list ≤ 100000\n* -1000000 ≤ each element value ≤ 1000000\n* 0 ≤ ...
Write a function that takes a list of integers and returns a new list where each integer is replaced by the product of all the integers in the original list except the integer at the current position. Constraints * The length of the input list is $2 \leq n \leq 10^4$ * All elements of the input list are integers $-10...
<think> Okay, I need to write a Python function that takes a list of integers and returns a new list where each element is replaced by the product of all the integers except the one at that position. Hmm, let me think about how to approach this. First, let me consider the problem. For each element in the input list, I...
[ { "from": "human", "value": "Write a function that takes a list of integers and returns a new list where each integer is replaced by the product of all the integers in the original list except the integer at the current position.\n\nConstraints\n\n* The length of the input list is $2 \\leq n \\leq 10^4$\n* ...
Write a function that takes a single string and returns True if the string contains valid parentheses, otherwise returns False. Parentheses are considered valid if they correspond to the following rules: 1. Open parentheses must be closed by the same type of parentheses. 2. Open parentheses must be closed in the corr...
<think> Okay, I need to solve this problem where I have to determine if a string contains valid parentheses. Hmm, what are the rules again? Oh right, the parentheses must be closed in the correct order and each opener must match the closer. Also, the string can have '()', '{}', and '[]' as the valid pairs. So, I remem...
[ { "from": "human", "value": "Write a function that takes a single string and returns True if the string contains valid parentheses, otherwise returns False.\n\nParentheses are considered valid if they correspond to the following rules:\n\n1. Open parentheses must be closed by the same type of parentheses.\n...
You are given a list of $n$ numbers where all numbers are between 1 and $n-1$ inclusive, and each number appears exactly once except for one number which appears twice. Your task is to identify the duplicate number. -----Input----- - The first line contains a single integer $n$ ($2 \leq n \leq 1000$) — the number of e...
<think> Okay, I have a problem to solve. Let's see what it's about. So, I'm given a list of n numbers. All of them are between 1 and n-1, and each appears exactly once except one that appears twice. I need to find that duplicate number. Hmm, how can I approach this? Well, the first thought is that I need to track whic...
[ { "from": "human", "value": "You are given a list of $n$ numbers where all numbers are between 1 and $n-1$ inclusive, and each number appears exactly once except for one number which appears twice. Your task is to identify the duplicate number.\n\n-----Input-----\n- The first line contains a single integer ...
You are given a number of colored socks in a box. Each sock has a respective color and there might be multiple socks of the same color. Your task is to determine the minimum number of single socks that must be added so that every sock has a matching pair of the same color. Input The first line contains an integer n (...
<think> Okay, I have to solve this problem where I need to find the minimum number of socks to add so that every sock has a matching pair. Let's see the problem statement again. So, given n socks, each with a color. We need to determine the minimum number of single socks to add so that every sock has a pair. That is, ...
[ { "from": "human", "value": "You are given a number of colored socks in a box. Each sock has a respective color and there might be multiple socks of the same color. Your task is to determine the minimum number of single socks that must be added so that every sock has a matching pair of the same color.\n\nIn...
Jamie, a software engineer, loves playing with sequences of numbers. One day, she comes across a problem that catches her attention: There is a sequence of n integers, and she wants to determine the length of the longest contiguous (i.e., consecutive) subarray where the absolute difference between any two elements in ...
<think> Okay, I need to solve this problem where I have to find the longest contiguous subarray where the absolute difference between any two elements is at most k. Hmm, let's think about how to approach this. So the input is a sequence of n integers. For every possible contiguous subarray, I need to check if all pair...
[ { "from": "human", "value": "Jamie, a software engineer, loves playing with sequences of numbers. One day, she comes across a problem that catches her attention:\n\nThere is a sequence of n integers, and she wants to determine the length of the longest contiguous (i.e., consecutive) subarray where the absol...
You are given an array of integers and your task is to find the smallest positive integer that is missing from the array. ```Haskell solve([3, 4, -1, 1]) = 2, because 1 is present and 2 is the smallest number missing. solve([1, 2, 0]) = 3, because 1 and 2 are present and 3 is the smallest number missing. solve([7, 8,...
<think> Okay, I need to find the smallest positive integer missing from an array of integers. The constraints are that the solution should have O(n) time and O(1) space complexity. Hmm, let's think about how to approach this. So, let's see the examples. For [3,4,-1,1], the output is 2. Because 1 is present, so the nex...
[ { "from": "human", "value": "You are given an array of integers and your task is to find the smallest positive integer that is missing from the array. \n\n```Haskell\nsolve([3, 4, -1, 1]) = 2, because 1 is present and 2 is the smallest number missing.\nsolve([1, 2, 0]) = 3, because 1 and 2 are present and 3...
Given a string, write a function to determine if it is a permutation of a palindrome. A palindrome is a word or phrase that is the same forwards and backwards. A permutation is a rearrangement of letters. The palindrome does not need to be limited to just dictionary words. Example 1: Input: s = "Tact Coa" Output: Tr...
<think> Okay, I need to write a Python function to determine if a given string is a permutation of a palindrome. Hmm, let's think about what that means. So, a permutation of a string is just any rearrangement of its characters. And for a string to be a palindrome when rearranged, it has to read the same forwards and b...
[ { "from": "human", "value": "Given a string, write a function to determine if it is a permutation of a palindrome. A palindrome is a word or phrase that is the same forwards and backwards. A permutation is a rearrangement of letters. The palindrome does not need to be limited to just dictionary words.\n\nEx...
Polycarp loves to collect various items. Every day he goes to the market to buy a new item. Each item has a name and cost associated with it. Polycarp does not like having multiple items with the same name in his collection. Therefore, whenever he buys a new item, he first checks if he already has an item with the same...
<think> Okay, I need to solve this problem where Polycarp is collecting unique items and I have to calculate the total cost of his collection. Let's think through the problem. So, the input is multiple lines where each line has an item's name and its cost. For each item, if it's not already in the collection, add its ...
[ { "from": "human", "value": "Polycarp loves to collect various items. Every day he goes to the market to buy a new item. Each item has a name and cost associated with it. Polycarp does not like having multiple items with the same name in his collection. Therefore, whenever he buys a new item, he first check...
Given a string, determine if it contains all the letters of the English alphabet at least once. Return "pangram" if it does, and "not pangram" if it doesn't. Example $s= "The quick brown fox jumps over the lazy dog"$ The string is a pangram, because it contains all the letters of the English alphabet. Function ...
<think> Okay, I need to solve this problem where I have to determine if a given string is a pangram. A pangram is a sentence that contains every letter of the English alphabet at least once. So, I have to check if all 26 letters are present in the string. Hmm, let's think about how to approach this. The function is c...
[ { "from": "human", "value": "Given a string, determine if it contains all the letters of the English alphabet at least once. Return \"pangram\" if it does, and \"not pangram\" if it doesn't.\n\nExample\n\n$s= \"The quick brown fox jumps over the lazy dog\"$\n \nThe string is a pangram, because it contain...
You are given a number N. Your task is to return the sum of squares of first N natural numbers. Example 1: Input: N = 3 Output: 14 Explanation: 1^2 + 2^2 + 3^2 = 1 + 4 + 9 = 14 Example 2: Input: N = 5 Output: 55 Explanation: 1^2 + 2^2 + 3^2 + 4^2 + 5^2 = 1 + 4 + 9 + 16 + 25 = 55 Your Task: You don't need to read inp...
<think> Okay, I have to solve this problem where I'm given a number N, and I need to return the sum of the squares of the first N natural numbers. Hmm, let's think about how to approach this. First, I remember that the sum of squares of the first N natural numbers has a mathematical formula. Oh right! The formula is N...
[ { "from": "human", "value": "You are given a number N. Your task is to return the sum of squares of first N natural numbers.\n\nExample 1:\nInput: N = 3\nOutput: 14\nExplanation: 1^2 + 2^2 + 3^2 = 1 + 4 + 9 = 14\n\nExample 2:\nInput: N = 5\nOutput: 55\nExplanation: 1^2 + 2^2 + 3^2 + 4^2 + 5^2 = 1 + 4 + 9 + ...
Alex is planning a garden and wants to plant exactly two types of flowers out of three available types. Each type of flower can be bought for p, q, and r dollars per unit, respectively. To ensure variety, Alex decides to plant exactly one unit of each of the two chosen types of flowers. Help Alex determine the minimu...
<think> Okay, I need to solve this problem where Alex wants to buy exactly two different types of flowers, each costing p, q, and r dollars. He wants the minimum total cost for two different types. Hmm. So, the problem is straightforward. I have to find the sum of the two smallest prices among p, q, and r. Because buy...
[ { "from": "human", "value": "Alex is planning a garden and wants to plant exactly two types of flowers out of three available types. Each type of flower can be bought for p, q, and r dollars per unit, respectively. To ensure variety, Alex decides to plant exactly one unit of each of the two chosen types of ...
You are the owner of a farm and you have three types of animals: cows, chickens, and sheep. Each animal type needs to be fed a specific amount of food every day. You provide the cows with 4 units of food per day, the chickens with 1 unit of food per day, and the sheep with 3 units of food per day. Given the total num...
<think> Okay, I need to solve this problem where I calculate the total food required for cows, chickens, and sheep on a farm. Let's think about how to approach this. So, from the problem statement, each cow eats 4 units a day, each chicken 1, and each sheep 3. I have to take the number of each animal and compute the s...
[ { "from": "human", "value": "You are the owner of a farm and you have three types of animals: cows, chickens, and sheep. Each animal type needs to be fed a specific amount of food every day. You provide the cows with 4 units of food per day, the chickens with 1 unit of food per day, and the sheep with 3 uni...
You are given an array nums of n integers. A subarray is defined as a contiguous segment of the array. The sum of a subarray is the total sum of the elements within that subarray. Your goal is to determine if the array contains a subarray whose sum is exactly k. -----Input----- The input consists of: - The first line...
<think> Okay, I need to solve this problem where I have to determine if there's a subarray in the given array that sums up to exactly k. Let me think about how to approach this. Hmm, the first thing that comes to mind is the brute force approach. For each possible starting index i, I can iterate through all possible e...
[ { "from": "human", "value": "You are given an array nums of n integers. A subarray is defined as a contiguous segment of the array. The sum of a subarray is the total sum of the elements within that subarray. Your goal is to determine if the array contains a subarray whose sum is exactly k.\n\n-----Input---...
Given a string s of length n, you need to compute the most frequently occurring character. If there are multiple characters that appear the most number of times, return the earliest character (in terms of their appearance in the string). Example 1: Input: s = "aabbbcc" Output: b Explanation: The character 'b' occurs ...
<think> Okay, so I need to solve this problem where I have to find the most frequently occurring character in a string. And if there's a tie, I return the one that appeared earliest. Hmm, let's think about how to approach this. First, the problem says that the time complexity should be O(n), which makes sense because ...
[ { "from": "human", "value": "Given a string s of length n, you need to compute the most frequently occurring character. If there are multiple characters that appear the most number of times, return the earliest character (in terms of their appearance in the string).\n\nExample 1:\nInput: \ns = \"aabbbcc\"\n...
Given an array of integers nums, find the next permutation of nums in lexicographical order. If such an arrangement is not possible, rearrange nums to the lowest possible order (i.e., sorted in ascending order). The replacement must be in-place and use only constant extra memory. Example 1: Input: nums = [1,2,3] Outp...
<think> Okay, I have to solve this problem where I need to find the next permutation of a given array in lexicographical order. If it's not possible, I have to rearrange it to the lowest possible order, which is sorted in ascending order. The function must be in-place and use constant extra memory. Hmm, right. Let me ...
[ { "from": "human", "value": "Given an array of integers nums, find the next permutation of nums in lexicographical order. If such an arrangement is not possible, rearrange nums to the lowest possible order (i.e., sorted in ascending order).\n\nThe replacement must be in-place and use only constant extra mem...
In a distant galaxy, a network of space stations is connected by unidirectional wormholes. The space stations are identified by numbers from 1 to n. Each wormhole allows travel from one specific station to another and takes a certain amount of time. Your mission is to determine the shortest time required to travel from...
<think> Okay, I have to solve this problem where I need to find the shortest time from a starting station to all other stations in a galaxy connected by wormholes. Hmm, the problem seems similar to the single-source shortest path problem in graph theory. Right, so I remember that Dijkstra's algorithm is commonly used f...
[ { "from": "human", "value": "In a distant galaxy, a network of space stations is connected by unidirectional wormholes. The space stations are identified by numbers from 1 to n. Each wormhole allows travel from one specific station to another and takes a certain amount of time. Your mission is to determine ...
B and N are integers where B can be any integer and N is a positive integer between 1 and 10 (inclusive). If B is divisible by N without a remainder, print "YES"; otherwise, print "NO". -----Constraints----- - -10^9 \leq B \leq 10^9 - 1 \leq N \leq 10 - All values in input are integers. -----Input----- Input is gi...
<think> Okay, I need to solve this problem where I have to determine if B is divisible by N without a remainder. Hmm, let's see. So the input is two integers, B and N. B can be any integer, but N is between 1 and 10, inclusive. My job is to check if B mod N equals zero. If yes, print "YES", else "NO". Wait, but wait. ...
[ { "from": "human", "value": "B and N are integers where B can be any integer and N is a positive integer between 1 and 10 (inclusive).\nIf B is divisible by N without a remainder, print \"YES\"; otherwise, print \"NO\".\n\n-----Constraints-----\n - -10^9 \\leq B \\leq 10^9\n - 1 \\leq N \\leq 10\n - All val...
A company's internal tool generates a weekly report which contains the performance data of their employees. Each report is a list of integers where each integer represents the number of tasks completed by an employee in a week. The team leader wants to identify the employee with the minimum number of completed tasks be...
<think> Okay, I need to solve this problem. Let me read it carefully. The problem is about finding the first employee with the minimum number of tasks. So, the input is a list of integers, each representing tasks done by an employee. I have to find the index (1-based) of the first occurrence of the minimum value in th...
[ { "from": "human", "value": "A company's internal tool generates a weekly report which contains the performance data of their employees. Each report is a list of integers where each integer represents the number of tasks completed by an employee in a week. The team leader wants to identify the employee with...
### Problem Statement Given an array of integers, return an array where each element is the product of all the elements of the original array except the one at the current index. ### Constraints - The input array will have a length between 2 and 20 (both inclusive). - Each element in the array will be an integer betw...
<think> Okay, I need to solve this problem where I have to compute an array where each element is the product of all the elements except the current one. Hmm, let's think about how to approach this. So the input is an array of integers, and the output is another array of the same length. For each index i, the output a...
[ { "from": "human", "value": "### Problem Statement\n\nGiven an array of integers, return an array where each element is the product of all the elements of the original array except the one at the current index.\n\n### Constraints\n- The input array will have a length between 2 and 20 (both inclusive).\n- Ea...
You have recently joined a gym and decided to keep track of your workout performance. You use a simple rule to evaluate your progress: every day you record the number of push-ups you do, and you want to know the maximum difference in the number of push-ups done between any two days. You already have a record of push-u...
<think> Okay, I need to solve this problem where I have to find the maximum absolute difference in the number of push-ups between any two days. Let's see how to approach this. First, the problem statement says that for an array of integers representing push-ups each day, I need the maximum difference between any two e...
[ { "from": "human", "value": "You have recently joined a gym and decided to keep track of your workout performance. You use a simple rule to evaluate your progress: every day you record the number of push-ups you do, and you want to know the maximum difference in the number of push-ups done between any two d...
Heidi has m notebooks. She writes notes in them regularly and marks the completion date of each notebook. The date is given in the form of 'YYYY-MM-DD'. Heidi wants to know when the first notebook among all the completed notebooks was finished. -----Input----- The first line contains the integer m (1 ≤ m ≤ 50 000) — ...
<think> Okay, I need to solve this programming problem. Let me read the problem statement carefully. So, Heidi has m notebooks. Each notebook has a completion date in 'YYYY-MM-DD' format, or is 'incomplete'. I need to find the earliest completion date among all the completed notebooks. If all are incomplete, output a ...
[ { "from": "human", "value": "Heidi has m notebooks. She writes notes in them regularly and marks the completion date of each notebook. The date is given in the form of 'YYYY-MM-DD'. Heidi wants to know when the first notebook among all the completed notebooks was finished.\n\n-----Input-----\n\nThe first li...
Jonathan has a collection of $n$ distinct integers. He wants to divide them into two non-empty subsequences such that the absolute difference between the sum of integers in the first subsequence and the sum of integers in the second subsequence is minimized. Help Jonathan determine the minimum possible absolute differe...
<think> Okay, I need to solve this problem where Jonathan wants to split his collection of integers into two non-empty subsequences such that the absolute difference between their sums is minimized. Hmm, let's think about how to approach this. First, I understand that the problem is similar to the partition problem, w...
[ { "from": "human", "value": "Jonathan has a collection of $n$ distinct integers. He wants to divide them into two non-empty subsequences such that the absolute difference between the sum of integers in the first subsequence and the sum of integers in the second subsequence is minimized. Help Jonathan determ...
You are given a list of integers heights representing the heights of students in a class. The students are arranged in a single line and the goal is to form the longest possible group of students such that each student in the group is taller than the student before them in the group. Write a function to return the leng...
<think> Okay, I've got this problem to solve. Let's see what it's about. So, the task is to find the longest group of students where each student is taller than the previous one. The input is a list of integers representing the heights of the students in a single line. Hmm. So, the function I'm supposed to write is ca...
[ { "from": "human", "value": "You are given a list of integers heights representing the heights of students in a class. The students are arranged in a single line and the goal is to form the longest possible group of students such that each student in the group is taller than the student before them in the g...
A robot is standing on a grid at position (0, 0). The grid has a size of $m \times n$ with cells indexed using 0-based indexing (i.e., the top-left corner is (0,0) and the bottom-right corner is $(m-1, n-1)$). The robot can move to the right, down, or diagonally (bottom-right) at each step but it can never move outside...
<think> Okay, so I need to solve this problem where a robot is moving from (0,0) to (m-1, n-1) on an m x n grid. The robot can move right, down, or diagonally bottom-right each step. I have to count the number of distinct paths and return the result modulo 1e9+7. Hmm, let's think about this. So the robot has three opt...
[ { "from": "human", "value": "A robot is standing on a grid at position (0, 0). The grid has a size of $m \\times n$ with cells indexed using 0-based indexing (i.e., the top-left corner is (0,0) and the bottom-right corner is $(m-1, n-1)$). The robot can move to the right, down, or diagonally (bottom-right) ...
*** Find the Missing Number *** You will be given an array containing `n-1` unique integers from the range `1` to `n`. The array does not contain duplicates, and one integer is missing from the series. Your task is to find the missing integer. You must solve this without using any loops. Examples: ```python find_mis...
<think> Okay, I have to find the missing number in an array that contains n-1 unique integers from the range 1 to n. Hmm. Let me think about how to approach this. So the array doesn't have duplicates, and one number is missing. The goal is to find that missing number without using any loops. Oh right, because maybe th...
[ { "from": "human", "value": "*** Find the Missing Number ***\n\nYou will be given an array containing `n-1` unique integers from the range `1` to `n`. The array does not contain duplicates, and one integer is missing from the series. Your task is to find the missing integer.\n\nYou must solve this without u...
### Given a string `binary_str` representing a binary number, write a function `convert_from_binary` that converts this binary string to its decimal (base-10) equivalent and returns it as an integer. Implement the following function: ```python def convert_from_binary(binary_str: str) -> int: """ Convert a bin...
<think> Okay, so I need to write a Python function called convert_from_binary that takes a binary string and converts it into its decimal equivalent. Hmm, let's see. The examples show that '1011' becomes 11, which makes sense because binary 1011 is 1*8 + 0*4 + 1*2 + 1*1, which is 11. So, how can I do this in Python? W...
[ { "from": "human", "value": "### Given a string `binary_str` representing a binary number, write a function `convert_from_binary` that converts this binary string to its decimal (base-10) equivalent and returns it as an integer.\n\nImplement the following function:\n\n```python\ndef convert_from_binary(bina...
You are given an undirected weighted graph with n vertices and m edges. The graph may contain cycles. Each edge is described by three integers u, v, and w, meaning there is an edge between vertices u and v with weight w. Your task is to determine the length of the shortest path from vertex 1 to vertex n, if such a pat...
<think> Okay, I have to solve this problem where I need to find the shortest path from vertex 1 to vertex n in an undirected weighted graph. Hmm, let's think about the possible approaches. So, the graph can have cycles and multiple edges. Since the weights are positive (as given w ≥ 1), I can use Dijkstra's algorithm....
[ { "from": "human", "value": "You are given an undirected weighted graph with n vertices and m edges. The graph may contain cycles. Each edge is described by three integers u, v, and w, meaning there is an edge between vertices u and v with weight w.\n\nYour task is to determine the length of the shortest pa...
# Summary: Given an array of integers, `arr`, return the length of the longest subarray with a sum exactly equal to a given value `value`. # Description: A subarray is a contiguous part of an array with elements appearing in the same order as they do in the original array. You will have to return the maximum length o...
<think> Okay, I need to solve this problem where I have to find the longest subarray with a sum exactly equal to a given value. Hmm, let's see. So, the array can be up to 10,000 elements long. I remember that a brute-force approach with O(n^2) time complexity might be acceptable here because 10,000 squared is 100 mill...
[ { "from": "human", "value": "# Summary:\nGiven an array of integers, `arr`, return the length of the longest subarray with a sum exactly equal to a given value `value`.\n\n# Description:\nA subarray is a contiguous part of an array with elements appearing in the same order as they do in the original array.\...
In a faraway kingdom, there are several towns connected by bidirectional roads. The king wants to select one of these towns to build a new castle. The king doesn't want the castle to be too remote, nor too crowded with adjacent towns. To decide the best town for the castle, he wants to minimize the maximum travel dista...
<think> Okay, I need to solve this problem where the goal is to find the town that minimizes the maximum travel distance to all other towns. Hmm, let's break this down. So, the problem is about finding a node in a graph such that the maximum distance from this node to all other nodes is the smallest possible. That nod...
[ { "from": "human", "value": "In a faraway kingdom, there are several towns connected by bidirectional roads. The king wants to select one of these towns to build a new castle. The king doesn't want the castle to be too remote, nor too crowded with adjacent towns. To decide the best town for the castle, he w...
A famous detective is investigating a sequence of events that form a pattern. The detective has a list of events, each with a unique identifier and a timestamp. The list is provided in a way such that events are not necessarily in order of their timestamps. The detective needs to identify the length of the longest seq...
<think> Okay, I need to solve this problem where I have to find the longest sequence of consecutive events based on their timestamps. The events are given in a list, but they're not necessarily in order. So, two events are consecutive if their timestamps differ by exactly 1. My task is to find the maximum length of suc...
[ { "from": "human", "value": "A famous detective is investigating a sequence of events that form a pattern. The detective has a list of events, each with a unique identifier and a timestamp. The list is provided in a way such that events are not necessarily in order of their timestamps.\n\nThe detective need...
You are given a string containing only characters '(', ')', '{', '}', '[' and ']'. Your task is to determine if the input string forms a valid sequence of parentheses. A sequence of parentheses is considered valid if: 1. It is an empty string. 2. It can be written as AB (A concatenated with B), where A and B are vali...
<think> Okay, I have to solve this problem where I need to determine if a given string of parentheses is valid. Hmm, let's think about how to approach this. So, the problem says that the string is valid if it follows certain rules. From the examples, I remember that each opening bracket must be properly closed in the ...
[ { "from": "human", "value": "You are given a string containing only characters '(', ')', '{', '}', '[' and ']'. Your task is to determine if the input string forms a valid sequence of parentheses. \n\nA sequence of parentheses is considered valid if:\n1. It is an empty string.\n2. It can be written as AB (A...
Write a function that takes a string as input, which consists of lowercase Latin letters only, and finds the length of the longest substring with all unique characters. You are not allowed to use any additional data structures like sets or dictionaries. Input The input data consists of a single non-empty string, with ...
<think> Okay, I need to solve this problem where I have to find the length of the longest substring with all unique characters. The input is a string consisting only of lowercase letters, and I can't use any additional data structures like sets or dictionaries. Hmm. Wait, so the substring must have all unique characte...
[ { "from": "human", "value": "Write a function that takes a string as input, which consists of lowercase Latin letters only, and finds the length of the longest substring with all unique characters. You are not allowed to use any additional data structures like sets or dictionaries.\n\nInput\nThe input data ...
Write a function that takes a list of non-negative integers representing the amount of rainwater stored above each building in a city skyline, and returns the total amount of rainwater that can be trapped after the rain. The list represents the height of buildings at different positions, and the rainwater trapped is t...
<think> Okay, I need to solve this problem where I have to calculate the total amount of rainwater that can be trapped between buildings based on the given list of heights. Hmm, I remember this is a classic problem, but I'm a bit rusty on the exact approach. Let me think about it. So, the problem is to find out how mu...
[ { "from": "human", "value": "Write a function that takes a list of non-negative integers representing the amount of rainwater stored above each building in a city skyline, and returns the total amount of rainwater that can be trapped after the rain.\n\nThe list represents the height of buildings at differen...
Bob is a network administrator tasked with monitoring messages between different servers. He needs to ensure that messages always travel through minimal distance paths in the network. The network is represented as a directed graph, where nodes represent servers, and edges represent direct communication paths with given...
<think> Okay, I have to solve this problem where I need to find the minimal distance from a source server to a destination server in a directed graph. Hmm, the problem says the network is represented as a directed graph, so we have to account for the direction of the edges. So, what's the problem statement again? Oh r...
[ { "from": "human", "value": "Bob is a network administrator tasked with monitoring messages between different servers. He needs to ensure that messages always travel through minimal distance paths in the network. The network is represented as a directed graph, where nodes represent servers, and edges repres...
Sophia is a budding software engineer who loves solving puzzles. One day, she came across an interesting problem. She found a string consisting of lowercase English letters and wondered if she could rearrange the letters of the string in such a way that no two adjacent characters are the same. However, if it is impossi...
<think> Okay, I need to solve this problem where I have to determine if a given string can be rearranged such that no two adjacent characters are the same. If it's possible, I have to return one such arrangement; otherwise, return an empty string. Hmm, let's think about the problem. So, the first thing that comes to m...
[ { "from": "human", "value": "Sophia is a budding software engineer who loves solving puzzles. One day, she came across an interesting problem. She found a string consisting of lowercase English letters and wondered if she could rearrange the letters of the string in such a way that no two adjacent character...
In Dreamland, a special type of string called a "Symmetric String" is celebrated. A string is considered symmetric if it reads the same forwards and backwards. For example, the string "level" is symmetric, whereas the string "coding" is not. Given a string `s`, write a function `is_symmetric(s)` that determines if `s`...
<think> Okay, I need to write a Python function called is_symmetric that checks if a given string is a symmetric string. A symmetric string reads the same forwards and backwards. So, essentially, it's a palindrome. Hmm, how do I check if a string is a palindrome? Well, a common approach is to reverse the string and co...
[ { "from": "human", "value": "In Dreamland, a special type of string called a \"Symmetric String\" is celebrated. A string is considered symmetric if it reads the same forwards and backwards. For example, the string \"level\" is symmetric, whereas the string \"coding\" is not.\n\nGiven a string `s`, write a ...
Given a string `s` that represents a number, implement a function to check if the number is a palindrome. A number is a palindrome if it reads the same forward and backward. For example: - For `s = "121"`, the output should be `true`. - For `s = "-121"`, the output should be `false`. The function should return a bo...
<think> Okay, I need to write a Python function called is_palindrome that checks if a given string s is a palindrome. Hmm, what's a palindrome number? Oh right, it's a number that reads the same backward as forward. Wait, but the note says that negative numbers are not considered palindromes. So if the string starts ...
[ { "from": "human", "value": "Given a string `s` that represents a number, implement a function to check if the number is a palindrome. A number is a palindrome if it reads the same forward and backward.\n\n\nFor example:\n\n- For `s = \"121\"`, the output should be `true`.\n- For `s = \"-121\"`, the output ...
Alice has a collection of N integer numbers and she is interested in finding out the length of the longest contiguous subarray that consists entirely of the same number. However, Alice got distracted and misplaced the collection's original order. To help her, you need to recreate this functionality through a program. ...
<think> Okay, I've got this programming problem to solve. Let's see what it's about. So, the task is to find the length of the longest contiguous subarray where all elements are the same. Hmm, right, that sounds straightforward, but I need to make sure I handle it efficiently since the input size can be up to 1e5, whic...
[ { "from": "human", "value": "Alice has a collection of N integer numbers and she is interested in finding out the length of the longest contiguous subarray that consists entirely of the same number. However, Alice got distracted and misplaced the collection's original order. To help her, you need to recreat...
Sammy the squirrel collects nuts which he stores in a series of numbered holes in his tree. Sammy has just finished his weekly nut-collecting spree and he knows the number of nuts stored in each hole but he wants to find the hole in which he stored the maximum number of nuts. However, the task isn't that simple — Sammy...
<think> Okay, I need to solve this problem where Sammy the squirrel has a number of holes with nuts, and I have to find the index of the hole with the maximum number of nuts. If there are multiple holes with the same maximum, I should return the smallest index. Let me think about the steps I need to take. First, the ...
[ { "from": "human", "value": "Sammy the squirrel collects nuts which he stores in a series of numbered holes in his tree. Sammy has just finished his weekly nut-collecting spree and he knows the number of nuts stored in each hole but he wants to find the hole in which he stored the maximum number of nuts. Ho...
Write a program which reads the dimensions of two rectangles and determines whether the first rectangle completely fits inside the second rectangle. The rectangles are aligned with the x and y axes. The coordinates $(x1, y1)$ and $(x2, y2)$ of the bottom-left and top-right corners of the first rectangle, respectively, ...
<think> Okay, I need to write a Python program that determines if the first rectangle is completely inside the second one. Hmm, let's think about the conditions. So, the rectangles are aligned with the axes, so we don't have to deal with rotations or anything. That simplifies things. The first rectangle has corners (...
[ { "from": "human", "value": "Write a program which reads the dimensions of two rectangles and determines whether the first rectangle completely fits inside the second rectangle. The rectangles are aligned with the x and y axes. The coordinates $(x1, y1)$ and $(x2, y2)$ of the bottom-left and top-right corne...
Given an integer n, count the number of different ways to write n as the sum of at least two consecutive positive integers. Input - The only line of input contains a single integer n (1 ≤ n ≤ 10^9). Output - Print one integer, the number of ways to write n as the sum of at least two consecutive positive integers. Ex...
<think> Okay, I need to solve this problem where I have to find the number of ways to write a given integer n as the sum of at least two consecutive positive integers. Let's see how to approach this. First, I remember that a number can be expressed as a sum of consecutive integers in several ways. But I'm not sure abo...
[ { "from": "human", "value": "Given an integer n, count the number of different ways to write n as the sum of at least two consecutive positive integers.\n\nInput\n- The only line of input contains a single integer n (1 ≤ n ≤ 10^9).\n\nOutput\n- Print one integer, the number of ways to write n as the sum of ...
You are given two strings, `s` and `t`. You need to determine if it is possible to make string `t` a substring of string `s` by performing the following operation exactly once: Operation: Choose any character from `t` and insert it at any position in `s`. Your task is to find out if `t` can be made a substring of `s`...
<think> Okay, I need to solve this problem where I have to determine if inserting exactly one character from string t into string s can make t a substring of s. Hmm, let me think about how to approach this. So, the problem is: Insert one character from t into s, and then check if t exists as a substring in this new s....
[ { "from": "human", "value": "You are given two strings, `s` and `t`. You need to determine if it is possible to make string `t` a substring of string `s` by performing the following operation exactly once:\n\nOperation: Choose any character from `t` and insert it at any position in `s`.\n\nYour task is to f...
Write a function that takes a positive integer `n` and returns the `n`th Fibonacci number. The Fibonacci sequence is characterized by the fact that every number after the first two is the sum of the two preceding ones. More precisely: - The 0th Fibonacci number is 0. - The 1st Fibonacci number is 1. - The ...
<think> Okay, I need to write a Python function called fibonacci that takes a positive integer n and returns the nth Fibonacci number. Hmm, wait, let me think about the exact definition here. Oh right, according to the description, the 0th is 0, 1st is 1, and each subsequent is the sum of the previous two. So for exa...
[ { "from": "human", "value": "Write a function that takes a positive integer `n` and returns the `n`th Fibonacci number. The Fibonacci sequence is characterized by the fact that every number after the first two is the sum of the two preceding ones. More precisely:\n\n - The 0th Fibonacci number is 0.\n ...
Write a function that takes a string containing a mathematical expression in postfix notation and evaluates it. Postfix notation is a mathematical notation in which every operator follows all of its operands. For example, the expression "3 4 + 2 * 1 -" (which is equivalent to "(3 + 4) * 2 - 1" in infix notation) should...
<think> Okay, I need to write a Python function that evaluates a postfix expression. Hmm, postfix notation is where the operator comes after the operands, right? So for example, "3 4 +" is 3 + 4. First, I remember that stacks are typically used for evaluating postfix expressions. So the plan is: process each token in ...
[ { "from": "human", "value": "Write a function that takes a string containing a mathematical expression in postfix notation and evaluates it. Postfix notation is a mathematical notation in which every operator follows all of its operands. For example, the expression \"3 4 + 2 * 1 -\" (which is equivalent to ...
Katy wants to create a palindrome by rearranging the letters of a given string. A palindrome is a string that reads the same backward as forward. Your task is to help Katy determine if it's possible to rearrange the given string to form a palindrome and, if so, provide one possible rearrangement. -----Input----- A sin...
<think> Okay, I need to solve this problem where I have to determine if a given string can be rearranged into a palindrome. If possible, output one such palindrome; otherwise, output "NO". Hmm, let's think about the conditions for a string to be rearranged into a palindrome. Oh right, for a string to be rearranged as...
[ { "from": "human", "value": "Katy wants to create a palindrome by rearranging the letters of a given string. A palindrome is a string that reads the same backward as forward. Your task is to help Katy determine if it's possible to rearrange the given string to form a palindrome and, if so, provide one possi...
Write a function ```abundant_number(n)``` that determines if a given positive integer `n` is an abundant number. An abundant number is a number for which the sum of its proper divisors (excluding itself) is greater than the number itself. For example, 12 is an abundant number because its proper divisors are 1, 2, 3, ...
<think> Okay, I need to write a Python function called abundant_number(n) that determines if a given positive integer n is an abundant number. Hmm, an abundant number is when the sum of its proper divisors is greater than the number itself. Proper divisors are all the divisors excluding the number. First, I should fig...
[ { "from": "human", "value": "Write a function ```abundant_number(n)``` that determines if a given positive integer `n` is an abundant number. \n\nAn abundant number is a number for which the sum of its proper divisors (excluding itself) is greater than the number itself. For example, 12 is an abundant numbe...
Given two strings representing large numbers, your task is to write a function that returns their sum. You should handle these numbers as strings to avoid potential overflow issues with very large integers. For example: - Input: "123456789123456789", "987654321987654321" - Output: "1111111111111111110" Your function...
<think> Okay, I need to write a Python function that takes two large numbers as strings and returns their sum, also as a string. The challenge is to handle very large numbers that might cause overflow if treated as integers. So, I can't just convert them to integers, add them, and then convert back. I have to handle th...
[ { "from": "human", "value": "Given two strings representing large numbers, your task is to write a function that returns their sum. You should handle these numbers as strings to avoid potential overflow issues with very large integers. \n\nFor example:\n- Input: \"123456789123456789\", \"987654321987654321\...
John is participating in a coding competition where he has to arrange a set of characters in a special way. Given a string, he needs to determine the number of unique permutations of that string. However, due to the competition rules, he must verify his result using a modified version of the string, where he only consi...
<think> Okay, I need to solve this problem where I have to find the number of unique permutations of the distinct characters in a given string. The result should be returned modulo 1e9+7. Hmm, let me think about how to approach this. So first, the problem says that given a string s, I have to consider only the distinc...
[ { "from": "human", "value": "John is participating in a coding competition where he has to arrange a set of characters in a special way. Given a string, he needs to determine the number of unique permutations of that string. However, due to the competition rules, he must verify his result using a modified v...
You are given an array of n integers, where n is even. Your task is to divide this array into two parts such that the sum of elements in the first part is as close as possible to the sum of elements in the second part. The difference between the two sums should be minimized. If there are multiple ways to achieve this, ...
<think> Okay, so I've got this problem to solve. The task is to split an array of integers into two parts such that the sum of each part is as close as possible. The difference between these two sums should be minimized. Hmm, right. Let me try to understand the problem. The array has an even number of elements, but th...
[ { "from": "human", "value": "You are given an array of n integers, where n is even. Your task is to divide this array into two parts such that the sum of elements in the first part is as close as possible to the sum of elements in the second part. The difference between the two sums should be minimized. If ...
Create a function `parse_date` that converts a given date string in `YYYY-MM-DD` format to a more human-readable format, `Month Day, Year`. The function should handle: - Valid date strings in `YYYY-MM-DD` format. - Ensuring the month is printed in full (e.g., January, February, etc.). - Stripping any leading zeroes fr...
<think> Okay, I need to create a Python function called parse_date that converts a date string from YYYY-MM-DD format into a human-readable format like Month Day, Year. Hmm, let's think about how to approach this. First, I should parse the input string into its components: year, month, and day. The input is in the for...
[ { "from": "human", "value": "Create a function `parse_date` that converts a given date string in `YYYY-MM-DD` format to a more human-readable format, `Month Day, Year`.\n\nThe function should handle:\n- Valid date strings in `YYYY-MM-DD` format.\n- Ensuring the month is printed in full (e.g., January, Febru...
You need to create a function named `flattenList`. Write your function so that given a nested list of integers, it returns a single, flat list with all the integers in the nested list. Your function should handle lists nested to an arbitrary depth. Examples of inputs and subsequent outputs: ``` [[1, 2, [3, 4]], [5, 6...
<think> Okay, I need to write a Python function called flattenList that takes a nested list of integers and returns a single flat list containing all the integers. Hmm, let's think about how to approach this. So the function has to handle lists nested to any depth. That means if there's a list inside a list inside ano...
[ { "from": "human", "value": "You need to create a function named `flattenList`.\n\nWrite your function so that given a nested list of integers, it returns a single, flat list with all the integers in the nested list. Your function should handle lists nested to an arbitrary depth.\n\nExamples of inputs and s...
You are given an integer array `height` of length `N` that represents heights of buildings from left to right. There is a mechanism that can flood cells of height `h` or less, where `h` is an integer value provided as input. You are allowed to flood only cells of height `h` or less and can connect the flooded cells hor...
<think> Okay, I've got this problem to solve, and I'm a bit nervous because it's a bit tricky. Let's try to break it down. So, the problem is about finding the maximum number of pools we can create by flooding cells with a certain height. The mechanism can flood cells of height h or less. Each pool is a contiguous seq...
[ { "from": "human", "value": "You are given an integer array `height` of length `N` that represents heights of buildings from left to right. There is a mechanism that can flood cells of height `h` or less, where `h` is an integer value provided as input. You are allowed to flood only cells of height `h` or l...
Samantha is planning a series of events for her conference. She has n events planned, each with a start time and an end time. However, she realizes that having multiple overlapping events could confuse the attendees. So, she decides to determine the maximum number of non-overlapping events she can effectively manage. ...
<think> Okay, I need to solve this problem where Samantha wants to find the maximum number of non-overlapping events she can schedule. Hmm, so the problem is about selecting as many events as possible without any overlaps. Let's think about how to approach this. I remember that this is a classic interval scheduling pr...
[ { "from": "human", "value": "Samantha is planning a series of events for her conference. She has n events planned, each with a start time and an end time. However, she realizes that having multiple overlapping events could confuse the attendees. So, she decides to determine the maximum number of non-overlap...
You are given two strings `A` and `B` of equal length consisting of lowercase English letters. You need to find the minimum number of operations required to transform string `A` into string `B`. In one operation, you can choose any character in `A` and change it to any other lowercase English letter. Write a function...
<think> Okay, so I have this problem where I need to find the minimum number of operations to transform string A into string B. Both are of the same length. And each operation is changing a character in A to another lowercase letter. Hmm, so the straightforward approach is to compare each corresponding character in A ...
[ { "from": "human", "value": "You are given two strings `A` and `B` of equal length consisting of lowercase English letters. You need to find the minimum number of operations required to transform string `A` into string `B`.\n\nIn one operation, you can choose any character in `A` and change it to any other ...
You are given a grid with `R` rows and `C` columns, representing a garden. Each cell in the grid contains a flower or is empty. You are also given a series of instructions to either plant or remove flowers. Your task is to determine the number of flowers in the garden after executing all the instructions. The instruct...
<think> Okay, I have this problem to solve, and I'm a bit new to programming, but I'll try to think it through carefully. So, the problem is about a garden grid, and we have to process a series of instructions to plant or remove flowers. The goal is to find out how many flowers are left after all instructions are done...
[ { "from": "human", "value": "You are given a grid with `R` rows and `C` columns, representing a garden. Each cell in the grid contains a flower or is empty. You are also given a series of instructions to either plant or remove flowers. Your task is to determine the number of flowers in the garden after exec...
Write a function that takes a string `s` as input, which represents a sentence containing words separated by spaces. Your task is to return the same sentence with each word reversed in order. For instance, if the input string is "hello world", the output should be "olleh dlrow". Input: A single line string `s` contai...
<think> Okay, I need to solve this problem where I have to write a Python function that takes a string of words and returns each word reversed while keeping their order the same. Hmm, let's think about how to approach this. So the input is a single string with words separated by spaces. For example, "hello world" beco...
[ { "from": "human", "value": "Write a function that takes a string `s` as input, which represents a sentence containing words separated by spaces. Your task is to return the same sentence with each word reversed in order.\n\nFor instance, if the input string is \"hello world\", the output should be \"olleh d...
You are given an n x n chessboard and a knight. Your task is to determine if it is possible for the knight to visit all the cells of the chessboard exactly once, starting from any given position. The knight moves in an "L" shape: two squares in one direction and then one square perpendicular to that, or one square in ...
<think> Okay, so I have this problem where I need to determine if a knight can tour an n x n chessboard, visiting every cell exactly once. Hmm, I remember that this is related to the Knight's Tour problem. Oh right, the knight's tour is a sequence of moves where the knight visits every square exactly once. The questi...
[ { "from": "human", "value": "You are given an n x n chessboard and a knight. Your task is to determine if it is possible for the knight to visit all the cells of the chessboard exactly once, starting from any given position.\n\nThe knight moves in an \"L\" shape: two squares in one direction and then one sq...
Given a string, determine the number of words that are palindromes. A palindrome is a word that reads the same backward as forward. Words will be separated by spaces and punctuation should be ignored. ``` For example: count_palindromes("A man, a plan, a canal, Panama") = 3 because "A", "a", and "a" are palindromes. A...
<think> Okay, I need to solve this problem where I have to count the number of palindromic words in a given string. Hmm, let's think about what the problem says. So, a palindrome is a word that reads the same backward as forward. The words are separated by spaces, and I should ignore punctuation. Also, I should convert...
[ { "from": "human", "value": "Given a string, determine the number of words that are palindromes. A palindrome is a word that reads the same backward as forward. Words will be separated by spaces and punctuation should be ignored.\n\n```\nFor example:\ncount_palindromes(\"A man, a plan, a canal, Panama\") = ...
Write a function that takes a string as input and returns `True` if the string is an anagram of a palindrome, and `False` otherwise. A palindrome is a word that reads the same forward and backward, such as "racecar" or "level". An anagram is a rearrangement of letters to form another word. For example, "civic" and "iv...
<think> Okay, so I need to write a Python function that determines if a given string is an anagram of a palindrome. Hmm, what does that mean exactly? Wait, an anagram of a palindrome means that the string can be rearranged into a palindrome, right? So my function should check whether there's a permutation of the input...
[ { "from": "human", "value": "Write a function that takes a string as input and returns `True` if the string is an anagram of a palindrome, and `False` otherwise.\n\nA palindrome is a word that reads the same forward and backward, such as \"racecar\" or \"level\". An anagram is a rearrangement of letters to ...
A simple text editing software allows the user to perform two types of operations on a string: 1. **Append** a character to the end of the string. 2. **Delete** the last character of the string. You are given an initial empty string and a set of `n` operations. Your task is to determine the length of the resulting st...
<think> Okay, so I need to solve this problem where I have to determine the length of a string after performing a series of append and delete operations. Hmm, let's think about how to approach this. The problem says that we start with an empty string. Each operation is either appending a character or deleting the last...
[ { "from": "human", "value": "A simple text editing software allows the user to perform two types of operations on a string:\n\n1. **Append** a character to the end of the string.\n2. **Delete** the last character of the string.\n\nYou are given an initial empty string and a set of `n` operations. Your task ...
Given a positive integer n, the task is to reverse the digits of n and return the reversed number. If the reversed integer overflows the bounds of a 32-bit signed integer, return 0. Example 1: Input: n = 123 Output: 321 Explanation: After reversing the digits, we get 321, which is within the 32-bit integer range. Examp...
<think> Okay, I need to write a Python function called reverseInteger that takes an integer n as input and returns the reversed digits of n. But wait, if the reversed number is outside the 32-bit signed integer range, I have to return 0. Hmm, right. So first, I should understand what the 32-bit signed integer range is...
[ { "from": "human", "value": "Given a positive integer n, the task is to reverse the digits of n and return the reversed number. If the reversed integer overflows the bounds of a 32-bit signed integer, return 0.\nExample 1:\nInput: n = 123\nOutput: 321\nExplanation: After reversing the digits, we get 321, wh...
In a museum, there are several exhibits arranged in a straight line. Each exhibit can have different levels of attraction, represented by an integer. The museum curator wants to increase the total attraction value of all exhibits by merging some of them. When two adjacent exhibits are merged, their attraction values ar...
<think> Okay, I've got this problem to solve. Let me try to understand it step by step. So, the problem is about a museum with exhibits arranged in a straight line. Each exhibit has a certain attraction value. The curator can merge adjacent exhibits to increase the total attraction. The goal is to maximize the total a...
[ { "from": "human", "value": "In a museum, there are several exhibits arranged in a straight line. Each exhibit can have different levels of attraction, represented by an integer. The museum curator wants to increase the total attraction value of all exhibits by merging some of them. When two adjacent exhibi...
You are given an m x n integer matrix `grid`. You are initially positioned at the top-left corner (i.e., `grid[0][0]`). Write a function to find the minimum sum path to reach the bottom-right corner (i.e., `grid[m-1][n-1]`). You can only move down or right at any point in time. Example 1: ``` Input: grid = [[1,3,1],[1...
<think> Okay, I need to solve this problem where I have to find the minimum sum path from the top-left corner to the bottom-right corner of a grid. The movement is restricted to only right or down. Hmm, right. Let me think about the examples given. For the first example, the path that gives the minimum sum is 1 →3→1→1...
[ { "from": "human", "value": "You are given an m x n integer matrix `grid`. You are initially positioned at the top-left corner (i.e., `grid[0][0]`). Write a function to find the minimum sum path to reach the bottom-right corner (i.e., `grid[m-1][n-1]`). You can only move down or right at any point in time.\...
Given a string S consisting of only the characters 'a', 'b', and 'c', you need to determine if it is possible to rearrange the string such that no two adjacent characters are the same. Example 1: Input: S = "aab" Output: 1 Explanation: The string can be rearranged as "aba". Example 2: Input: S = "aa" Output: 0 Explana...
<think> Okay, so I've got this problem where I need to determine if a string consisting only of a, b, and c can be rearranged such that no two adjacent characters are the same. Hmm. The function is called canRearrange and returns 1 or 0. First, I should think about the conditions under which such a rearrangement is po...
[ { "from": "human", "value": "Given a string S consisting of only the characters 'a', 'b', and 'c', you need to determine if it is possible to rearrange the string such that no two adjacent characters are the same.\n\nExample 1:\nInput:\nS = \"aab\"\nOutput:\n1\nExplanation:\nThe string can be rearranged as ...
Little Alina likes triangles a lot. She recently learned about the concept of triangular numbers. A triangular number or triangle number is a number that can be represented as a triangle with dots. The nth triangular number is the sum of the first n natural numbers (i.e., `T_n = n * (n + 1) / 2`). Alina now wonders i...
<think> Okay, so I have to write a Python function to calculate the nth triangular number. Hmm, what's a triangular number again? Oh right, it's the sum of the first n natural numbers. Like T_n is 1 + 2 + 3 + ... + n. And there's a formula for that, which is n*(n+1)/2. That should make it easy to compute. So the input...
[ { "from": "human", "value": "Little Alina likes triangles a lot. She recently learned about the concept of triangular numbers. A triangular number or triangle number is a number that can be represented as a triangle with dots. The nth triangular number is the sum of the first n natural numbers (i.e., `T_n =...
In an amusement park, there is a new ride called the "Magic Spiral". The Magic Spiral consists of n moving platforms arranged in a spiral pattern. Each platform has a specific speed associated with it. The speeds are given in an array of integers, where the i-th element represents the speed of the i-th platform. Howev...
<think> Okay, I need to solve this problem where I have to replace the broken platforms' speeds with the average of their adjacent platforms. Let's think through the steps. So, the input is an array where each element is either a speed or -1. For each -1, I need to look at the adjacent elements (left and right) and ca...
[ { "from": "human", "value": "In an amusement park, there is a new ride called the \"Magic Spiral\". The Magic Spiral consists of n moving platforms arranged in a spiral pattern. Each platform has a specific speed associated with it. The speeds are given in an array of integers, where the i-th element repres...
You are given a list of integers. Your task is to determine if it is possible to split this list into two non-empty parts where the sum of the elements in the first part is equal to the sum of the elements in the second part. For example, if the list is [1, 2, 3, 4, 5, 5], you can split it into [1, 2, 3, 4] and [5, 5]...
<think> Okay, I've got this problem to solve. Let's read it carefully. So, I need to determine if it's possible to split a list of integers into two non-empty parts such that both parts have equal sums. Hmm. Let me think about the approach here. The first thing that comes to mind is that the total sum of the list need...
[ { "from": "human", "value": "You are given a list of integers. Your task is to determine if it is possible to split this list into two non-empty parts where the sum of the elements in the first part is equal to the sum of the elements in the second part.\n\nFor example, if the list is [1, 2, 3, 4, 5, 5], yo...
The social networking app "Chatterbox" recently introduced a feature to track the most popular user based on their posts' engagement. Users on Chatterbox can "like" and "comment" on the posts of other users, and each post can have multiple likes and comments. The popularity of a user is determined by the sum of the lik...
<think> Okay, so I need to solve this problem where I have to find the most popular user on Chatterbox based on the sum of likes and comments across all their posts. Hmm, the input consists of several posts, each with a user ID, likes, and comments. My goal is to calculate for each user their total engagement, sum the ...
[ { "from": "human", "value": "The social networking app \"Chatterbox\" recently introduced a feature to track the most popular user based on their posts' engagement. Users on Chatterbox can \"like\" and \"comment\" on the posts of other users, and each post can have multiple likes and comments. The popularit...
Write a function that takes a string containing only square brackets `[]` and determines if the string is balanced. A string is considered balanced if every opening bracket `[` has a corresponding closing bracket `]` and the pairs of brackets are properly nested. For example: - "[]" is balanced. - "[[]]" is balanced. ...
<think> Okay, so I need to write a Python function that determines if a string of just square brackets is balanced. Hmm, I remember that a common way to solve this is using a stack. Oh right, every time I see an opening bracket, I push it onto the stack. When I see a closing bracket, I check if the top of the stack is ...
[ { "from": "human", "value": "Write a function that takes a string containing only square brackets `[]` and determines if the string is balanced. A string is considered balanced if every opening bracket `[` has a corresponding closing bracket `]` and the pairs of brackets are properly nested.\n\nFor example:...
Create a function `minimum_cost_to_convert` that takes a list of integers as input and outputs the minimum cost required to convert the list into a palindrome. In this problem, converting the list into a palindrome means adjusting some of the list elements such that the list reads the same forwards and backwards. The c...
<think> Okay, I need to create a function called minimum_cost_to_convert that takes a list of integers and returns the minimum cost to make it a palindrome. The cost is the number of changes made. So, a palindrome reads the same forwards and backwards, which means for each element at position i from the start, it shoul...
[ { "from": "human", "value": "Create a function `minimum_cost_to_convert` that takes a list of integers as input and outputs the minimum cost required to convert the list into a palindrome. In this problem, converting the list into a palindrome means adjusting some of the list elements such that the list rea...
Given a string containing digits and lowercase letters, rearrange the characters such that all lowercase letters come before any digits. The relative order of the characters within the letters and digits should be preserved. Example 1: Input: S = "a1b2c3" Output: "abc123" Explanation: The relative order of 'a', 'b', 'c...
<think> Okay, I need to solve this problem where I have a string that contains both lowercase letters and digits. I have to rearrange it so that all the letters come before any digits. But the twist is that the relative order of letters among themselves must be preserved, and the same goes for the digits. Hmm, let me ...
[ { "from": "human", "value": "Given a string containing digits and lowercase letters, rearrange the characters such that all lowercase letters come before any digits. The relative order of the characters within the letters and digits should be preserved.\nExample 1:\nInput:\nS = \"a1b2c3\"\nOutput: \"abc123\...
You are given a number n which represents a file size in bytes. You need to convert that size into a human-readable format using binary prefixes. The possible units are "B" (bytes), "KiB" (kibibytes), "MiB" (mebibytes), "GiB" (gibibytes), and "TiB" (tebibytes). Each unit should be a power of 1024 bytes: - 1 KiB = 1024...
<think> Okay, I need to write a Python function that takes a number of bytes and converts it into a human-readable format using binary prefixes. The units are B, KiB, MiB, GiB, and TiB. Each unit is a power of 1024 bytes. Hmm, the first step is to find the largest possible unit such that when I divide the given number...
[ { "from": "human", "value": "You are given a number n which represents a file size in bytes. You need to convert that size into a human-readable format using binary prefixes. The possible units are \"B\" (bytes), \"KiB\" (kibibytes), \"MiB\" (mebibytes), \"GiB\" (gibibytes), and \"TiB\" (tebibytes).\n\nEach...
Stacy loves creating sequences of numbers using a specific rule. She starts with an integer n and repeatedly applies the following operation: - If n is even, divide it by 2. - If n is odd, multiply it by 3 and add 1. The sequence ends when n reaches 1. Your task is to write a function that takes an integer n and ret...
<think> Okay, I need to solve this problem where I have to find the length of a sequence generated by repeatedly applying certain rules to a number until it becomes 1. Let's think about how I can approach this. So the problem is: Starting with a given integer n, I generate a sequence where each next number is determin...
[ { "from": "human", "value": "Stacy loves creating sequences of numbers using a specific rule. She starts with an integer n and repeatedly applies the following operation:\n\n- If n is even, divide it by 2.\n- If n is odd, multiply it by 3 and add 1.\n\nThe sequence ends when n reaches 1.\n\nYour task is to ...
A company has a policy that requires all employees to change their computer passwords every month. A valid password must meet the following criteria: 1. The password length should be between 8 and 12 characters inclusive. 2. The password must contain at least one uppercase letter. 3. The password must contain at least...
<think> Okay, I need to write a Python function called validate_password that checks if a given password meets certain criteria. Let me think about the requirements. So, the password must satisfy these conditions: 1. Length is between 8 and 12 characters, inclusive. So I need to check the length of the password strin...
[ { "from": "human", "value": "A company has a policy that requires all employees to change their computer passwords every month. A valid password must meet the following criteria: \n1. The password length should be between 8 and 12 characters inclusive.\n2. The password must contain at least one uppercase le...
A magical kingdom has a network of cities connected by one-way roads. The kingdom’s map is represented as a directed graph where each city is a node and each road is a directed edge. The cities are labeled from 1 to N, and there are M one-way roads in the kingdom. The king wants to know the shortest path from the capi...
<think> Okay, I need to solve this problem where I have to find the shortest path from the capital city (city 1) to all other cities in a directed graph. If a city isn't reachable, I should output -1 for it. Hmm, the input gives me N cities and M roads, each road being a directed edge with a weight. Since the roads a...
[ { "from": "human", "value": "A magical kingdom has a network of cities connected by one-way roads. The kingdom’s map is represented as a directed graph where each city is a node and each road is a directed edge. The cities are labeled from 1 to N, and there are M one-way roads in the kingdom.\n\nThe king wa...
Alice is a competitive programmer who likes to solve array-based problems. One day she came across a challenge where she needs to perform a very specific operation on an array. The challenge is to find the number of special triplets (i, j, k) such that 1 ≤ i < j < k ≤ N and the sum of elements at these indices in the a...
<think> Okay, I need to find the number of special triplets (i, j, k) where i < j < k, and the sum of the elements at these indices is divisible by X. Hmm, so the problem is to count all triplets where the sum mod X is zero. Let me think about the approach. The straightforward way is to check all possible triplets, bu...
[ { "from": "human", "value": "Alice is a competitive programmer who likes to solve array-based problems. One day she came across a challenge where she needs to perform a very specific operation on an array. The challenge is to find the number of special triplets (i, j, k) such that 1 ≤ i < j < k ≤ N and the ...