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Calculate the dot product of two vectors. The dot product of two vectors is calculated by multiplying corresponding components of the vectors and then adding the products together. [1, 2, 3], [2, 4, 6] Steps to solve the problem: 1. Create a variable called dotProduct and set it to 0. 2. Iterate through each componen...
codefeedback
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Output the sum of the first n odd numbers using recursion, where n is a positive integer.
codefeedback
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Given a multi-dimensional array, write a program to determine the indices of the negative elements from each dimension and present them in a nested array format. Note, your solution must deal with arrays of varying dimensions and handle an arbitrary number of negatives within them. For instance if the Array = [[12, -5...
codefeedback
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Assign 1 to all the elements of a 2D array that are divisible by 3. Then, return the sum of all the assigned elements. arr = [[1,2,3,4,5,6], [10,15,20,25,30,35], [3,8,6,12,9,18], [7,14,21,28,35,42], [16,32,48,64,80,96], [27,54,81,108,135,162]] #Difficulty Increase: - The size of the...
codefeedback
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I have this problem : Number of Subsequences That Satisfy the Given Sum Condition with Additional Constraints Description are as below: Given an array of integers `nums` and two integers `target` and `k`. Return the number of non-empty subsequences of `nums` such that the sum of the minimum and maximum element on it i...
codefeedback
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Your task entails locating the minimal submatrix in a given two-dimensional numeric array such that the cumulative total of its composite elements corresponds to a specified numerical objective. matrix = [[1, 2, 3], [4, 5, 6], [7, 8, 9]], target = 15
codefeedback
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<p>Imagine the task of constructing a wall utilizing $2 \times 1$ and $3 \times 1$ bricks ($\text{horizontal} \times \text{vertical}$ dimensions). The construction must adhere to a specific rule for enhanced durability: the gaps between horizontally-adjacent bricks must not align in successive layers, thus avoidi...
codefeedback
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I have this problem : Advanced Chalkboard Addition Game Description are as below: We are given non-negative integers nums[i] which are written on a chalkboard. Alice and Bob take turns erasing exactly one number from the chalkboard, with Alice starting first. If erasing a number causes the sum of all the elements of th...
codefeedback
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Given the following object, write a function in JavaScript to count the occurrences of each character in the object's values. The function should also remove any duplicate characters from the count. Additionally, the function should handle values that are arrays, strings, or nested objects. obj = { "name": "John Doe"...
codefeedback
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Create an array of five prime numbers.
codefeedback
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Find the index of the element that occurs only once in the array. However, you are not allowed to use any built-in functions or libraries to solve this problem. You must implement the solution using only basic data structures and algorithms provided by the programming language. arr = [1, 1, 5, 5, 6, 8, 6, 9, 9]; In a...
codefeedback
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You are presented with a challenge titled: Shortest Path in a Grid with Obstacles Elimination. The problem is defined as follows: You are given a grid of dimensions `m * n`, where each cell is either `0` (indicating an empty space) or `1` (indicating an obstacle). You are allowed to move in four directions: up, down, l...
codefeedback
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In the provided $5$ by $5$ matrix, the least sum of the path from the upper left corner to the lower right corner, with the constraint of only moving downwards or to the right, is highlighted in bold red and amounts to $2427$. $$ \begin{pmatrix} \color{red}{131} & 673 & 234 & 103 & 18\\ \color{red}{201...
codefeedback
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Implement a function that finds the maximum element in a given array. However, you are not allowed to use any built-in sorting functions or methods. Additionally, the time complexity of your solution should be less than O(n^2). arr = [45, 7, 0, 82, 23]
codefeedback
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Given an array of integers, find the maximum difference between two elements in the array such that the larger element appears after the smaller element in the array. [5, 2, 4, 7, 15]
codefeedback
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Count the number of quadruples that sum up to zero in a given array. A quadruple is defined as a set of four numbers in the array. The array can contain both positive and negative numbers. For example, if the array is [-2, -1, 0, 1, 2], there are two quadruples that sum up to zero: (-2, -1, 1, 2) and (-2, 0, 0, 2). T...
codefeedback
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I am grappling with a complex problem titled: Student Attendance Record II. The problem is articulated as such: A student's daily attendance status is represented as a string, with each character signifying whether the student was absent, late, or present on that particular day. The record is composed solely of these t...
codefeedback
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Determine the sum of the squares of all even numbers in a given array. The array contains positive integers only, and it has a length of at most 100. The sum should be computed using a recursive function that takes the array as an input. Additionally, the function should return the number of even numbers in the array a...
codefeedback
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Write code to check if a given string contains only alpha-numeric characters. If it does, check if all the alphabets are unique (case-sensitive). If both conditions meet, return the count of numeric characters. Otherwise return false. Given string can include special characters as well. For example, Input: "Hello Wor...
codefeedback
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Refine the following code: import java.util.*; import java.lang.*; class Solution { /** Given a positive integer n, return a tuple that has the number of even and odd integer palindromes that fall within the range(1, n), inclusive. Additionally require the algorithm to perform at O(log n) time complex...
codefeedback
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Given a string of integers, develop a function that generates an array where each integer is multiplied by the difference of its neighboring integers. s = "123456"
codefeedback
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Create an array of length 20 filled with odd numbers starting from 3, but each number must be greater than the previous number by at least 10. Additionally, the sum of all the numbers in the array should be a prime number.
codefeedback
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<p>Let $f(n)$ denote the number of ways a positive integer $n$ can be represented in the form: $$x^3+xy+29y^3$$ where $x$ and $y$ are integers. For instance, $f(83)=6$ due to $(x,y) \in \{(-5,2),(-4,-2),(2,2),(3,-2),(4,2),(5,-2)\}$.</p> <p>Define $\displaystyle S(N)=\sum_{n=1}^{N}f(n)$. You are given...
codefeedback
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Given a dictionary, write a function to count the number of items in the dictionary. The dictionary may contain nested dictionaries as values. You need to consider all levels of nesting and count the total number of items in the dictionary, including the nested dictionaries and their items. For example, consider the f...
codefeedback
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Create a tower of stars made up of n lines of increasing star lengths, where n is an odd number greater than or equal to 10. Each line must contain an odd number of stars.
codefeedback
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Design a function that generates an array of n-dimensional vectors, where each vector must have at least one positive and one negative element. Additionally, the function should ensure that the sum of all elements in each vector is equal to a given target value. The function should return the generated array. Constrai...
codefeedback
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Write a function that takes a two-dimensional array and flattens it into a one-dimensional array. The function should remove any duplicate elements from the resulting array and sort it in ascending order. Time Complexity Requirement: O(n^2) Space Complexity Requirement: O(n) #Example# Input: [[4, 2, 6], [1, 3, 5], [4...
codefeedback
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A positive integer n is said to be a magic number if the following conditions hold: 1. The number should consist of 4-digits. 2. The tens digit of this number is equal to thrice the sum of its thousands, hundreds and ones digits. 3. The hundreds digit is a third of the ones digit. 4. Moreover, the ones digit of this nu...
codefeedback
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Write a Python program to generate a list that contains only the non-unique elements from a given list. The program should have a time complexity of O(n^2) and should not use any built-in functions or libraries. Additionally, the program should ensure that the non-unique elements in the output list are sorted in ascen...
codefeedback
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Determine the time complexity and space complexity for the following code sample. Implement a solution that achieves a time complexity of O(n^2) and a space complexity of O(n). The input array will contain integers ranging from -1000 to 1000, and the array length will be between 1 and 1000. The solution should handle d...
codefeedback
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Given a linked list, find the k-th element from the end of the list, where k is a positive integer less than or equal to the length of the list. If the length of the list is odd, return the middle element. If the length of the list is even, return the second middle element. Example: Input: 1 -> 2 -> 3 -> 4 -> 5 -> 6 -...
codefeedback
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Develop a Java-based solution that, using binary search algorithms, successfully determines the paramount numerical value present within a three-dimensional array of integers. This array should not be converted into a simpler structure during the process. Various irregularities, such as negative integers and zero, shou...
codefeedback
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Modify and finalize the given code, considering non-zero numbers only and ignoring duplicates. Also, handle the error in the provided code: ```python def prod_signs(arr): # Incorrect code return sum(set(arr)) ``` Your new task is to return the sum of magnitudes of unique integers multiplied by the product of ...
codefeedback
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Write a Java program which prints out the maximum element in an array, but you are not allowed to use any built-in Java sorting or max functions. The array can contain both positive and negative integers. The program should also handle cases where the array is empty or contains only one element. Finally, you should min...
codefeedback
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Write a function that takes an array and removes all duplicates in place, returning the length of the new array. The function should also remove any duplicates that occur more than twice. The input array will be sorted in ascending order. [1, 1, 2, 2, 2, 3, 4, 4, 4, 4, 5, 5, 6, 7, 7, 8, 9, 9, 9, 9]
codefeedback
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Write a code to sort an array of integers using the quicksort algorithm. The algorithm should be implemented recursively. Additionally, the code should handle duplicate elements in the array and sort them in ascending order. The sorted array should be returned as the output. array = [2, 4, 5, 1, 9, 0]
codefeedback
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Suggest an optimized way for printing all the unique elements in a sorted multi-dimensional array, while also printing their respective occurrences. Assume the array has positive integers only. Note, the entries for each column in a row might not be unique across different rows even if the array is sorted. Also, consid...
codefeedback
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Calculate the number of anagrams present in a given string. string = "listen"
codefeedback
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The task at hand is to devise an efficient algorithm that can effectively search for a specific `target` value within an `m x n` integer `matrix`. The `matrix` is characterized by the following attributes: Each row's integers are arranged in an ascending order from left to right. Similarly, each column's integers are ...
codefeedback
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Sort the following list using a bubble sort algorithm. [36, 71, 16, 21, 73, 5, 99, 42, 12, 67, 24, 88] Write a bubble sort algorithm function that sorts the list in ascending order. The function should have the following additional requirements: 1. Implement the bubble sort algorithm using nested loops. 2. The algor...
codefeedback
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In 1999, a significant milestone was achieved in the realm of prime numbers with the discovery of the first known prime to surpass one million digits. This prime, a Mersenne prime, takes the form $2^{6972593} - 1$ and precisely comprises $2\,098\,960$ digits. Following this, additional Mersenne primes, expressed as $2^...
codefeedback
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Design an algorithm to handle the following scenario. Given a list of complex numbers which may also include nested lists with complex numbers, design an efficient algorithm that identifies the complex number that appears with the least frequency. The algorithm should also handle numbers represented as both Cartesian ...
codefeedback
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I have this problem : Maximum Length of a Concatenated String with Unique Characters and Specific Character Count Description are as below: Given an array of strings `arr` and an integer `k`. String `s` is a concatenation of a sub-sequence of `arr` which have unique characters. Additionally, the sub-sequence must be in...
codefeedback
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Using the given code, write a recursive function that finds the highest prime number in the array, where the array is sorted in ascending order. The function should return the highest prime number found or -1 if no prime numbers are found. The function should also utilize a binary search approach to solve the problem.
codefeedback
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Create a function that takes an array as input and returns true if all elements in the array are similarly oriented (i.e. either all positive or all negative). The function should also handle the case when the input array is empty or contains only one element. The function should have a time complexity of O(n), where n...
codefeedback
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Given an ordered set of integers, find the contiguous subsequence with the highest sum such that each element repeats at least thrice. The subsequence must have a minimum of three elements. Your objective is to compute the maximum attainable sum of the specified subsequence.
codefeedback
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Given an array of integers, sort it using bubble sort in Java. The original array should not be modified and a new sorted array should be returned. Additionally, the implementation should be able to handle arrays containing up to 1 million integers efficiently. Increase the difficulty by adding the following requireme...
codefeedback
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Enhance the complexity of the following programming test question: You need to write a Java code which accepts a list of any real numbers, rounds them up to the nearest integer (aka ceiling), squares these numbers and finally returns their sum. The program also needs to demonstrate advanced error handling capabilities...
codefeedback
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You are tasked with implementing a program that can efficiently determine the longest common subsequence (LCS) of two given strings. The longest common subsequence is the longest sequence of characters that appear in the same order in both strings. For example, given the strings "ABCDGH" and "AEDFHR", the LCS is "ADH" ...
codefeedback
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Analyze the computational complexity associated with the given algorithm's runtime, expressed in Big-O notation. You're requested to provide a comprehensive rationale, grounded in the principles of computational complexity theory. def add_array_elements(arr): n = len(arr) sum_elements = 0 for i in range(0,...
codefeedback
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Write code to find the smallest number in an array of numbers, without using any built-in functions or methods. Additional requirements: 1. The solution should have a time complexity of O(n), where n is the number of elements in the array. 2. The solution should handle negative numbers in the array. 3. The solution sh...
codefeedback
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Complete the following code with additional constraints: /* You are given a positive integer n. You have to create an integer array a of length n. For each i (1 ≤ i ≤ n), the value of a[i] = i * i - i + 1. Now, implement a recursive function to return the number of triples (a[i], a[j], a[k]) of a where i...
codefeedback
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Considering the explicit progression of digitized whole numbers as well as alphabetical characters in a scrambled format, I kindly request the construction of a distinct section of JavaScript code with the designated function of isolating and subsequently procuring those individual numerical elements and alphabetical c...
codefeedback
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Calculate the minimum, maximum, and average of the following array. Additionally, find the second largest and second smallest elements in the array. The array will have a size of at least 10 and at most 100. The elements in the array will be integers between -100 and 100.
codefeedback
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I am faced with this challenge: Construct a Stack with an Increment Functionality. Here are the details: The task is to design a stack that supports the following operations. You are to implement the `CustomStack` class: `CustomStack(int maxSize)` This initializes the object with `maxSize` which is the maximum number ...
codefeedback
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Write a C# code snippet to add two arrays of integers, where each array contains n elements, and then multiply each element of the resulting array by a third array of integers, also containing n elements. Finally, print the final array to the console. int[] array1 = {1, 2, 3, 4, 5}; int[] array2 = {6, 7, 8, 9, 10}; in...
codefeedback
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Design an algorithm that calculates the sum of all positive even numbers greater than 5 and less than or equal to 1000 in a given array, while also ensuring that the sum is not divisible by 3. The array may contain duplicates, negative numbers, and numbers greater than 1000. [2, 4, 7, 10, 12, 16, -6, 1002, 8, 12, 14, 1...
codefeedback
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Given a list of words, write a Python function to print the frequency of occurrence of each word in the list, sorted in descending order by frequency. The function should have a time complexity of O(n log n), where n is the number of words in the list. Example: Input: ['foo', 'bar', 'foo', 'baz', 'bar', 'baz', 'qux',...
codefeedback
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Output all the prime numbers between 1 and 1000, while also excluding prime numbers that end in a digit greater than 5. Additionally, the time complexity of the solution should be O(n*log(log(n))) or better. Implement the solution using a multithreaded approach, where each thread is responsible for calculating a subset...
codefeedback
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Correct the following code and generate an output. The code should find all even numbers in the given list_of_ints and display them in ascending order. Additional constraint: You are not allowed to use any built-in sorting functions or methods.
codefeedback
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Sort the following array of numbers in descending order and calculate the sum of all the even numbers using Python. Additionally, handle any potential errors that may occur during the process and provide appropriate error messages to the user. If any number in the array is a negative number, skip it and continue the ca...
codefeedback
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I have this problem : Maximum Number of Non-Overlapping Subarrays With Sum Equals Target Description are as below: Given an array `nums` and an integer `target`. Return the maximum number of non-empty non-overlapping subarrays such that the sum of values in each subarray is equal to `target`. If there are multiple sol...
codefeedback
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Print out the prime numbers between 0 to 1000.
codefeedback
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Write a function that accepts a multi-dimensional array and returns the sum of all prime numbers in the array. Additionally, the function should be written using recursion to parse through the nested arrays. For instance: [[2, 3, 4], [5, 6], [[7]]]
codefeedback
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I am faced with this challenge: Locating a Value in a Rotated, Ascendingly Sorted Array. Here's the detailed scenario: An integer array `nums` is initially sorted in ascending order with unique values. Before being processed by your function, `nums` undergoes a rotation at an undisclosed pivot index `k` (`0 <= k &l...
codefeedback
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You are given a matrix. Construct a function to check if any of the elements in the matrix is 0. If any zero element is found, return its position in the matrix (row and column) as a tuple. If no zero element is found, return None. The matrix will always have at least one zero element. The matrix can have at most 100 r...
codefeedback
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Write a code snippet to find the most frequent number greater than 100 from a list of numbers. The list may contain duplicates and can have a maximum of 10^6 numbers. The numbers in the list are guaranteed to be integers between 1 and 10^6. Your solution should have a time complexity of O(n) and a space complexity of O...
codefeedback
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Write a code that takes an array of integers and returns an array of all elements in the original array except for the duplicates. The code should have a time complexity of O(n), where n is the length of the array. Additionally, the code should not use any built-in functions or libraries to achieve this task. Provide...
codefeedback
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I am faced with this mathematical challenge: Compute the Derangement of a Numerical Sequence. The details are as follows: In the realm of combinatorial mathematics, a derangement refers to a specific permutation of the elements of a set, where no element retains its original position. You are initially given a numeric...
codefeedback
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Given a list of items and their weights and another number n, create an algorithm to determine if there is a subset of the items that have a weight equal to n. items = [1, 2, 4, 7] weights = [2, 3, 5, 8] n = 9
codefeedback
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I am faced with this challenge: Identifying the Foliage of a Binary Tree Structure The task details are as follows: Provided with the `root` of a binary tree, your task is to gather the tree's nodes as if you were performing the following steps: Accumulate all the terminal nodes. Eliminate all the terminal nodes. Con...
codefeedback
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Augment the intricacy of the ensuing Java coding problem: Kindly complete this Java code: class Solution { /** Specifically in this task, you will have an array that contains both non-negative and negative digits. For the non-negative integers, you are expected to sort them according to the quantity of o...
codefeedback
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Given integer values for the lower and upper range, implement a function that prints all the prime numbers within that range. Additionally, for each prime number found, determine and print its factors (excluding 1 and the number itself). For example, given a lower range value of 10 and an upper range value of 30, pri...
codefeedback
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Write a C++ program for sorting a given list of numbers using the bubble sort algorithm recursively. unsortedList = [7, 6, 5, 4, 3, 2, 1] Requirements: 1. The bubble sort algorithm should be implemented using recursion instead of iteration. 2. The program should have a time complexity of O(n^2), where n is the length...
codefeedback
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Given a list of positive integers, find the median of the list using only logical operations and bitwise operators. The median is the middle value of a sorted list of numbers. If the list has an odd number of elements, the median is the middle number. If the list has an even number of elements, the median is the averag...
codefeedback
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Generate Fibonacci numbers up to 50 using a while loop.
codefeedback
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Create a function that takes two positive integers, n and m (where m > n), and returns an array that contains the squares of the numbers from n to m (inclusive). The function should also ensure that n and m are within the range of 1 to 10^9 (inclusive). Additionally, the function should return the result in descending ...
codefeedback
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<p>An integer is designated as <strong><var>B</var>-smooth</strong> if it does not possess any prime factors exceeding $B$.</p> <p>We denote $S_B(n)$ as the most substantial $B$-smooth divisor of $n$.<br> Illustrations:<br> $S_1(10)=1$<br> $S_4(2100) = 12$&lt...
codefeedback
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Write an algorithm that sorts the following list of integers in descending order: [15, 5, 8, 0, 42]
codefeedback
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Produce a function that takes in an array of numbers and returns an array with all the prime numbers in it. The function should also handle negative numbers and floating-point numbers correctly. Additional requirements: 1. The function should handle extremely large numbers (greater than 10^15) efficiently and accurate...
codefeedback
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Given a two-dimensional array of positive and negative integers, find the maximum sum of numbers you can find by tracing a path from the top-left to bottom-right corner. You are allowed to move only down or right at each step. The array may contain duplicates, and you need to handle these duplicates appropriately. Addi...
codefeedback
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Sort the given array of numbers from least to greatest. The sorted array should also have the even numbers before the odd numbers. Additionally, you are not allowed to use any built-in sorting functions or libraries. You are also not allowed to use any additional data structures such as arrays, lists, or dictionaries....
codefeedback
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Write an algorithm to find the common elements in two arrays. The algorithm should have a time complexity of O(n), where n is the size of the larger array. Additionally, you are not allowed to use any additional data structures or built-in functions for solving the problem.
codefeedback
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Given a list of n strings, find the k most frequent words in the list. If multiple words have the same frequency, return them in lexicographical order. #Example# Input: words = ['apple', 'mango', 'banana', 'apple', 'orange'] k = 2 Output: ['apple', 'banana']
codefeedback
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Write a function that calculates the factorial of a given number. The factorial of a number n is the product of all positive odd integers less than or equal to n. For example, the factorial of 5 (denoted as 5!) is calculated as 5 * 3 * 1, which equals 15. Propose a solution that has a time complexity of O(n) and a spa...
codefeedback
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You are given two strings, `a` and `b`. Your task is to implement a function or method to find the length of the longest common subsequence (LCS) of `a` and `b`. A subsequence is a sequence that can be derived from another sequence by deleting some or no elements without changing the order of the remaining elements. Th...
codefeedback
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Given an array of numbers, build an array of objects where each object has three properties: the number itself, its square root, and its factorial. However, the factorial should be calculated using a recursive function. Additionally, the square root should be rounded to the nearest whole number. Each number in the arra...
codefeedback
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Find the Big O notation of the following code, assuming that the input "n" is always a positive integer and the code must be implemented recursively.
codefeedback
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Generate a 3-dimensional maze using a given algorithm.
codefeedback
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Write a function that takes in a string as input and returns a list of all the unique prime numbers that can be formed by combining the digits in the string. The input string will only contain digits, and there will be no leading or trailing whitespace. The output list should contain the prime numbers in ascending orde...
codefeedback
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Implement a recursive algorithm to count the number of elements that are divisible by k, have a remainder of 1 when divided by m, and are greater than or equal to n in a two-dimensional array. The array will contain positive integers only. Each subarray in the two-dimensional array should have a length greater than or ...
codefeedback
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Compute the sum of all the prime numbers in an array of integers in Java. int[] arr = {1,2,3,4,5};
codefeedback
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Write a function to identify all palindromes in the given string. The function should have a time complexity of O(n), where n is the length of the string. Additionally, the function should also be able to handle palindromes with spaces and punctuation marks. The function should ignore any palindrome that is a single ch...
codefeedback
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Given a singly linked list of integers, remove all elements from it that have a value greater than the sum of all the previous elements in the linked list. If the linked list is empty or the sum of all the previous elements is equal to or greater than the maximum value in the linked list, return an empty linked list. ...
codefeedback
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Compare two strings and count the number of characters that are different. The length of the strings is at most 10^6 characters. The strings may contain any printable ASCII characters. Additionally, you need to handle cases where the strings contain special characters such as spaces, punctuation marks, and non-alphanum...
codefeedback
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Create a function to sort an array of numbers from least to greatest. You are not allowed to use any built-in sorting functions or libraries. The input array will always contain at least 2 numbers and at most 10^6 numbers. All numbers in the array will be distinct and will be in the range of -10^9 to 10^9. Additionally...
codefeedback
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Utilizing the Java syntax, write a code snippet to find the maximum value in the given array. However, you are not allowed to use any built-in array sorting or max functions. Additionally, you are not allowed to use any extra space (i.e., you must solve the problem in O(1) space complexity). Array: [-10^9, 10^9, -10^9...
codefeedback
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Given an array of integers, find and print all the prime numbers in descending order. The time complexity of the solution should be less than O(n^2), where n is the size of the input array.
codefeedback
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I have this problem : Game of Life with Obstacles Description are as below: According to Wikipedia's article: "The Game of Life, also known simply as Life, is a cellular automaton devised by the British mathematician John Horton Conway in 1970." The board is made up of an `m x n` grid of cells, where each cell has an i...
codefeedback
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You are tasked with implementing a function that takes a string as input and returns the count of each unique character in the string. The function should ignore spaces and be case-insensitive. For example, given the input "Hello World", the function should return a dictionary with the counts of each character, ignorin...
codefeedback
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