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Alice is navigating a lattice grid, where she can only move from one lattice point $A (a,b)$ to another $B (a+x,b+y)$ under the condition that the distance $AB = \sqrt{x^2+y^2}$ corresponds to a Fibonacci number $\{1,2,3,5,8,13,\ldots\}$ and $x\ge 0,$ $y\ge 0$. In the given lattice grid, Alice can transition from the...
codefeedback
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I have this problem : Shortest Distance to a Character with Constraints Description are as below: Given a string `s` and a character `c` that occurs in `s`, return an array of integers `answer` where `answer.length == s.length` and `answer[i]` is the distance from index `i` to the closest occurrence of character `c` in...
codefeedback
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You are tasked with implementing a Python function that takes a list of integers as input and returns the maximum sum of a contiguous subarray within the input list. The function should efficiently handle both positive and negative integers. The function should have the following signature: ```python def max_subarray_...
codefeedback
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I have this problem : Decode XORed Permutation Description are as below: There is an integer array `perm` that is a permutation of the first `n` positive integers, where `n` is always odd. It was encoded into another integer array `encoded` of length `n - 1`, such that `encoded[i] = perm[i] XOR perm[i + 1]`. For examp...
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Provided a sequence of integers, output the integer pairs whose sum of cubes is a perfect square. sequence = [3, 6, 9, 10]
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Write a Python function that takes two strings and returns the length of the longest common subsequence. str1 = "AGGTAB" str2 = "GXTXAYB" # Erroneous code for misdirection def longest_common_subsequence(s1, s2): m = len(s1) n = len(s2) # Create a matrix to store the lengths of common subsequences ...
codefeedback
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Locate the maximum sum of four consecutive numbers in an array. [2, -7, -4, 15, 25, 18, -12]
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Implement a function that takes in a list of integers and returns the maximum product of any three integers in the list. The function should have a time complexity of O(n) and a space complexity of O(1).
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Implement an algorithm to efficiently find the power of a number. Base: 2, Exponent: 1000000 Additional Instructions: 1. The algorithm should be able to handle large exponents efficiently, such as exponents in the range of 10^9 or higher. 2. The algorithm should not use any built-in functions or libraries for exponent...
codefeedback
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You are tasked with implementing a function that calculates the total area covered by a set of rectangles on a 2D plane. Each rectangle is represented by its top-left corner coordinates (x, y) and its dimensions (width, height). The function should take an array of rectangles as input and return the total area covered ...
codefeedback
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Analyze a provided string of characters and return the number of occurrences of each character, excluding whitespace and punctuation. The function should also sort the characters in descending order based on their frequency. The input string will only contain lowercase and uppercase letters. The function should also ha...
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Write a function called "calculate_sum" that takes in a list of integers as a parameter and returns the summation of all elements in the list. The function should also handle empty lists by returning 0. list1 = [1, 2, 3, 4, 5] Example: print(calculate_sum(list1)) should output 15. You are not allowed to use any built...
codefeedback
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Convert the following array to a numpy array, square each element, sum all the squared elements, and print the result. Repeat this process for each element in the array and return a new array with the resulting sums: [[2, 4, 6, 8], [1, 3, 5, 7], [10, 20, 30, 40]] Additional Requirements: - The time complexity should ...
codefeedback
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Write a program that takes in a list of integers and prints out the elements in reverse order. However, you are not allowed to use the `reverse()` method, `slice` notation, or any built-in function or method that directly reverses the list. #Example: Input: [1, 2, 3, 4, 5] Output: 5, 4, 3, 2, 1 #Requirements: - Your...
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I have this problem : Check if Binary String Has at Most One Segment of Ones and Count the Number of Zeros in Between Description are as below: Given a binary string `s` ​​​​​without leading zeros, return `true`​​​ if `s` contains at most one contiguous segment of ones. Otherwise, return `false`. In addition, if `s` co...
codefeedback
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Enhance the given programming task by requiring students to identify potential swap candidates and the cumulative count of swaps needed to correct an unordered sequence. In certain instances, provide an incorrect code for reference, adding an element of misdirection. Here's your starter code: def adjust_sequence(arr)...
codefeedback
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I have this problem : Bag of Tokens with Constraints Description are as below: You have an initial power of `P`, an initial score of `0`, and a bag of `tokens` where `tokens[i]` is the value of the `ith` token (0-indexed). Your goal is to maximize your total score by potentially playing each token in one of two ways: ...
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Create an array of strings, of size n, by taking n string inputs from the user. Each string should have a maximum length of m. The value of n and m should be taken as inputs from the user. For example: Input: n = 5 (the size of the array) m = 10 (the maximum length of each string) Output: Array: ["hello", "world", "t...
codefeedback
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<p>In the given $1000$-digit number, the quartet of contiguous digits that yield the highest product are $9 \times 9 \times 8 \times 9 = 5832$.</p> <p class="monospace center"> 73167176531330624919225119674426574742355349194934<br> 96983520312774506326239578318016984801869478851843<br...
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Develop an algorithm that groups elements from the input list into unique subgroups based on a specific rule defined by an accompanying function. This function will apply an arithmetical rule that is encapsulated in a string. The function should return these groups in the order in which their elements first appear in t...
codefeedback
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You are given a list of integers representing the scores of a game. The game has a specific rule for calculating the final score. The rule is as follows: - If the score is even, it is added to the total score. - If the score is odd, it is subtracted from the total score. Write a function `calculate_final_score` that t...
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Please write a program that prints out the Fibonacci sequence from 1 to n, with the additional requirement that the program should also calculate and print the product of all the Fibonacci numbers in the sequence. Additionally, the program should terminate if the product of the Fibonacci numbers exceeds a given thresho...
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Write a code that takes a list of numbers, and outputs the Kth largest distinct value, where K is a parameter passed to the function. However, the code must not use any built-in sorting functions or methods. mylist = [2, 4, 54, 31, 34, 77, 29, 11, 44, 78, 65, 23] #Additional Instructions# 1. The code should handle th...
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Write a C++ program that calculates the mean, median, and mode of an array of integer numbers. The array may contain duplicates. [1, 3, 5, 7, 9, 3, 5, 5, 1] #Further Explanation# The mean is the average of all the numbers in the array. To calculate the mean, add up all the numbers in the array and then divide the sum...
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Write a function to search in a 2D array of integers, and return the coordinates (row and column) of the target if it is present. The target must be found using a binary search algorithm. The 2D array is structured as follows: array = [ [1, 3, 5, 7, 9, 11, 13, 15], [2, 4, 6, 8, 10, 12, 14, 16], [17, 19, 21, 23, ...
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Devise and implement a computational algorithm to find the top 'n' highest numerical constituents within the supplied set of integer data, along with their respective indices. Additionally, the algorithm should be designed to handle negative integers and zero. For instance, given an input of [10, 100, 200, 500, 400],...
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Given a string of integers and a pivot index, write a function that generates an array where each integer is multiplied by the difference of its neighboring integers, with the exception of the integer at the pivot index. This integer should be multiplied by the difference of it's square and the product of it's neighbor...
codefeedback
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Suggest an in-place sorting algorithm to sort a list in ascending order, but with the constraint that you cannot use any built-in sorting functions or methods. The algorithm should have a time complexity of O(nlogn) and should use constant space. The input list can contain duplicate elements. Additionally, you are not...
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You are given an array of integers, where every element appears twice except for one. Write a function to find the unique element. Write a function `findUniqueElement` that takes in an array of integers and returns the unique element. Example: Input: [4, 3, 2, 4, 3] Output: 2 Input: [7, 5, 6, 5, 6] Output: 7 Note: ...
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Design a data structure to find the first and last occurrence of a prime number in an array of positive integers. The array may contain duplicates and the data structure should efficiently handle multiple queries. array = [2, 3, 5, 7, 5, 11, 13]
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Create a function in R to count the occurrences of a given number in an array while ensuring that the vector elements are unique, in descending order, and all odd numbers. The function should have a time complexity of O(n) and a space complexity of O(1). The array will contain at most 10^6 elements. arr = c(1,3,5,7,9,...
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You are tasked with implementing a method to calculate the nth Fibonacci number using a recursive approach. The Fibonacci sequence is a series of numbers in which each number is the sum of the two preceding ones, usually starting with 0 and 1. The method should throw an IllegalArgumentException if a negative number is ...
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You are given a list of distinct integers representing candidates for a combination sum and a target integer. Write a function `combinationSum(candidates, target)` that returns all unique combinations of candidates where the chosen numbers sum to the target. Each number in candidates may be used an unlimited number of ...
codefeedback
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Given an input array of numbers and a target integer 'n', determine the maximum sum from uninterrupted subsequences for every possible length from 1 to 'n'. Your program should return a list of the highest sums for each length from 1 to 'n'. If there is no subsequence of certain length that provides a sum, the corresp...
codefeedback
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I have this problem : Minimum Number of Steps to Make Two Strings Anagram with Constraints Description are as below: Given two equal-size strings `s` and `t`. In one step you can choose any character of `t` and replace it with another character. Additionally, you are given a third string `p` which contains the only cha...
codefeedback
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Write an algorithm in JavaScript to find all unique pairs of elements in a given array whose sum is equal to a given target number. Function signature: function findPairs(arr: number[], target: number): [number, number][] Example: Input: arr = [1, 2, 3, 4, 5] target = 5 Output: [[1, 4], [2, 3]]
codefeedback
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Given a matrix of n by m elements (n rows and m columns), each cell of which contains a series of integers, determine the mode for each series in the matrix. Furthermore, if there are multiple modes in a series, return all of them. Implement a solution with an optimized time complexity.
codefeedback
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Find the sum of all elements in the given 2D array, but exclude any elements that are divisible by both 2 and 3. Additionally, only consider elements that are greater than 5 and less than 15. [[1, 2, 3],[4, 5, 6],[7, 8, 9],[10, 11, 12],[13, 14, 15]]
codefeedback
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The derivative of an arithmetic operation is defined as follows: for any prime number $p$, $p^\prime = 1$, and for all integers $a, b$, $(ab)^\prime = a^\prime b + ab^\prime$ (according to the Leibniz rule). For instance, $20^\prime = 24$. Your task is to compute the sum of the greatest common divisor of $k$ and $k^\pr...
codefeedback
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Design a computational algorithm capable of identifying Fibonacci numbers within a defined range, extending from startnum to endnum. This algorithm should be specifically tailored to discern those Fibonacci numbers that are simultaneously perfect squares and perfect cubes. Furthermore, the algorithm should be proficien...
codefeedback
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Write a code to identify palindromic numbers between 1 and a given number n.
codefeedback
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Write a function that takes an integer n and prints the n x n grid with stars. Each row of the grid should contain exactly n/2 stars. Additionally, the stars in each row should be arranged in a pattern such that the number of consecutive stars in each row increases by 1 from left to right, and then decreases by 1 from ...
codefeedback
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Consider the function $S(n) = \sum a + b + c$ over all unique sets of three $(a, b, c)$ where: $a$, $b$ and $c$ are distinct prime numbers. $a \lt b \lt c \lt n$. The sequence $a+1$, $b+1$, and $c+1$ constitutes a geometric progression. As an illustration, $S(100) = 1035$ with the following sets: $(2, 5, 11)$, $(2, 11...
codefeedback
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Using the given array, create a function that takes in two arguments, the array and a number, and returns the position of the number in the array. The function should have a time complexity of O(log n) or better, where n is the length of the array. Additionally, the function should use an iterative binary search algori...
codefeedback
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Create a function that takes two arrays of integers as parameters and returns true if one array is a subsequence of the other. 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. The function should have a time comp...
codefeedback
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Return a subset of a given array where the sum of all elements in the subset is the maximum possible value, given that the subset size is exactly K. arr = [3, 6, 2, 5, 7, 4], K = 3
codefeedback
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Please increase the difficulty of the given programming test question by allowing only a limited number of distinct element changes. Finish the following code: def smallest_change(arr, limit): """ Given an array arr of integers, find the minimum number of elements that need to be changed within limit dist...
codefeedback
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Create an algorithm that computes the sum of the maximum K (given) digits in a given array. The array may contain negative numbers and zero values. If K is greater than the length of the array, return -1. Erroneous Reference Code: ```python def compute_sum_of_max_digits(arr, K): if K > len(arr): return -1...
codefeedback
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Using the provided code as a reference, write a loop to output the middle 3 elements in a given array. However, you cannot use any built-in array functions or methods to determine the length or index of the array. Additionally, you cannot use any additional variables or data structures to store the middle 3 elements. T...
codefeedback
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Compute the result of the following mathematical expression in Python, while also ensuring that the final result is rounded to the nearest whole number. Additionally, you should implement the calculation logic as a recursive function instead of using the built-in arithmetic operators. (4 + 5 * 7 - 9) / 2 Restrictions:...
codefeedback
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I have this problem : Find All Good Strings with a Twist Description are as below: Given the strings `s1` and `s2` of size `n`, the string `evil`, and an integer `k`. Return the number of good strings. A good string has size `n`, it is alphabetically greater than or equal to `s1`, it is alphabetically smaller than or ...
codefeedback
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Calculate and exhibit the progressive accumulation of the numerical values contained within this specific array, showcasing a sequence of intermediate subtotals. numbers = [2, 3, 4, 7]
codefeedback
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Construct a while loop in order to traverse through an array and print only the even elements, while also keeping track of the number of even elements encountered. Additionally, you are required to implement the following: 1. The time complexity of your solution should be O(n), where n is the size of the array. 2. You ...
codefeedback
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Develop an algorithm to return all possible permutations of a given string. String: "abc"
codefeedback
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Determine the magnitude of the most extensive ascending subsequence within a numerical array.
codefeedback
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Barbara, a mathematician and proficient basketball player, has discovered a unique correlation between her scoring probability and the distance from which she shoots. She has deduced that the likelihood of her scoring a point when shooting from a distance denoted as $x$ is precisely $(1 - x / q)$, where $q$ is a real c...
codefeedback
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Using Java, create a program to find the maximum sum of a sub-array within a given array, taking into consideration the constraint that the sub-array should not contain any negative numbers. Additionally, optimize your solution to have a time complexity of O(n) and a space complexity of O(1).
codefeedback
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Provided a linear collection of integer data types, pinpoint the paramount numerical magnitude incorporated. arr = [8, 1, 2, -1, 4, 9]
codefeedback
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You are given a list of points in the 2D plane, each represented by a pair of integers (x, y). Your task is to write a function that finds the area of the largest rectangle that can be formed from these points, with sides parallel to the x and y axes. If there isn't any rectangle that can be formed, the function should...
codefeedback
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Enhance the complexity of this programming test question. Please write a function adhering to the below guidelines: def advanced_operation(n, m, p, q): """ Given four positive integers n, m, p, and q, check if both n and m are perfect squares and p and q are perfect cubes. If they are, return the total c...
codefeedback
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<p>Consider the unending polynomial series $A_G(x) = x G_1 + x^2 G_2 + x^3 G_3 + \cdots$, where $G_k$ signifies the $k$th term of the second order recurrence relation $G_k = G_{k-1} + G_{k-2}$, with $G_1 = 1$ and $G_2 = 4$; thus, the sequence is $1, 4, 5, 9, 14, 23, \dots$.</p> <p>In this problem, our...
codefeedback
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Calculate the length of each word in a given string and store them in a new array. The input string may contain punctuation marks, numbers, and special characters. Return the array in descending order of word lengths, with words of the same length sorted in reverse alphabetical order. If two words have the same length ...
codefeedback
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Establishing the parameters for the provided C++ program: /* Your role is to develop an algorithm in the form of a function adhering to the predefined constraints of an enigmatic yet intriguing three-dimensional data set embodied as a 3-dimensional array. This 3D array (given the alias 'lst3d') and two additional inte...
codefeedback
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You are tasked with implementing a function that calculates the nth Fibonacci number using an iterative approach. The Fibonacci sequence is a series of numbers in which each number is the sum of the two preceding ones, usually starting with 0 and 1. The sequence goes: 0, 1, 1, 2, 3, 5, 8, 13, 21, and so on. Write a fu...
codefeedback
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Merge the two given arrays and remove duplicates. The merged array should be sorted in ascending order. In addition to the previous requirements, you should now implement the merge sort algorithm to merge the two arrays in O(n log n) time complexity. You should also implement an efficient algorithm to remove duplicat...
codefeedback
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You are given an array of integers of length N, where the elements are in the range from 1 to N. There are exactly two elements that appear once and all the other elements appear exactly twice. You need to find the two elements that appear only once. Write a function `findMissingAndRepeating` that takes in an array of...
codefeedback
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You are given a task: Finding the Lexicographically Largest String After Applying Operations. Here are the details: You are given an odd-length string `t` composed of digits from `0` to `9`, and two integers `x` and `y`. You can perform either of the following two operations on `t` in any order and as many times as yo...
codefeedback
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Write a function that computes the Fibonacci sequence up to a given number n, where n is a positive integer less than or equal to 1000. The solution should have a time complexity of O(n) and a space complexity of O(1). The Fibonacci sequence is defined as follows: - The first and second numbers in the sequence are bo...
codefeedback
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Write a code that finds the largest palindromic number in a given array and returns its index. If there are multiple palindromic numbers with the same maximum length, return the index of the first occurrence. If there are no palindromic numbers in the array, return -1. Example: Input: [73, 111, 109, 121, 545, 777, 22]...
codefeedback
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Write code to create a list of tuples that contains all the possible combinations of two elements taken from two different lists, with the following additional constraints: 1. The tuples should only contain elements where the first element is from list1 and the second element is from list2. 2. The first element in each...
codefeedback
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You are given a list of integers representing the heights of a series of walls. Each integer in the list represents the height of a wall at a specific position. Your task is to find the maximum amount of water that can be trapped between the walls. The water is trapped if there are higher walls on both sides of a wall....
codefeedback
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Given an array with negative and positive numbers, create a function to find the smallest positive number inside the array. Additionally, the function must find the smallest positive number in O(n log n) time complexity. For example, if the input array is as follows: int[] array = {-3, -2, -1, 1, 2, 3, 4};
codefeedback
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Find the shortest subsequence of odd elements with a sum greater than a given threshold in a given list. If no such subsequence exists, return an empty list. list4 = [3, 7, 4, 5] threshold = 10
codefeedback
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Create a function that takes in a list of integers and returns a new list where each element is the sum of the previous and next elements in the original list. The first and last elements in the original list should be treated as if they have a previous or next element of 0. The function should have a time complexity o...
codefeedback
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Calculate the total number of unique elements in this array, where each sub-array contains exactly two elements. Additionally, the elements in each sub-array are restricted to be positive integers greater than zero. However, the array can also contain sub-arrays with negative integers or floating-point numbers.
codefeedback
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Create a function which takes a variable number of arguments, checks if all of them are lists and have an odd length (O(n)), and then adds all the odd-indexed items in the lists (O(n/2)). The function should return the sum of all the odd-indexed items in the lists. Example: Input: [[1,2,3], [4,5,6], [7,8,9,10]] Output...
codefeedback
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Sort the array of strings lexicographically in reverse order and exclude any strings that start with a vowel. Additionally, the sorting should be done in-place, without using any built-in sorting functions or libraries. arr = ["james", "john", "bob", "michelle"] Time complexity requirement: O(n^2) Space complexity re...
codefeedback
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Given a list of negative integers, find the smallest absolute value. To increase the difficulty, also determine and print the index of this smallest absolute value in the list. In addition, if multiple smallest absolute values exist, print all their indexes. Handle this case without using in-built functions such as m...
codefeedback
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Given a character sequence, find the longest palindromic substring. The length of the sequence will not exceed 1000 characters.
codefeedback
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<p> Consider $S_i$ as a sequence of integers, generated by the following pseudo-random number generator: </p> <ul> <li>$S_0 = 290797$</li> <li> $S_{i+1} = S_i ^2 \bmod 50515093$</li> </ul> <p> Define $M(n)$ as the median of the pairwise products $ S_i S_j $ for $0 \...
codefeedback
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Find the maximum number of left and right parentheses that can be balanced for a given expression. Expression: (()()
codefeedback
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I have this problem : Find Servers That Handled Most Number of Requests with Priority Description are as below: You have `k` servers numbered from `0` to `k-1` that are being used to handle multiple requests simultaneously. Each server has infinite computational capacity but cannot handle more than one request at a tim...
codefeedback
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Find the number of different words in a string of unlimited length, while also considering case sensitivity and punctuation marks. # Explanation # In this test, you need to count the number of unique words in a given string. However, unlike the previous test, you also need to consider case sensitivity and punctuation ...
codefeedback
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Develop an algorithm to print out the following pattern. The pattern should be printed in a zigzag manner, starting from the top left corner and ending at the bottom right corner. Each element in the pattern should be unique and the pattern should contain at least 10 rows and 10 columns. Additionally, the elements in t...
codefeedback
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Create a function that will find the maximum length of strictly increasing subarray in a list, where the elements must be in non-decreasing order. The list may contain duplicate elements. The function should handle both positive and negative integers. The length of the list should be at least 5.
codefeedback
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Create an array of integers with values 0, 1, 2, 3, 4. Sort the array in descending order.
codefeedback
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Create a program that takes in an array of integers as input and returns a sorted array in ascending order. The program should have a time complexity of O(n^2) or worse. Additionally, the program should use a bubble sort algorithm to sort the array. The program should also handle duplicate integers in the input array a...
codefeedback
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Debug, optimize and enhance this Java code snippet: This Java program is intended to find and return the maximum number in an ArrayList of integers. Your task is not exclusively to fix errors and optimize the code, but also to enhance its functionalities. The functionality can be improved by finding the second largest...
codefeedback
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I have this problem : Minimum Number of Flips to Convert Binary Matrix to Identity Matrix with Constraints Description are as below: Given a `n x n` binary matrix `mat`. In one step, you can choose one cell and flip it and all the four neighbours of it if they exist (Flip is changing 1 to 0 and 0 to 1). A pair of cells...
codefeedback
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Formulate a recursive algorithm to calculate the nth term of the intricate integer sequence, Jacobsthal-Lucas, ensuring it is computationally efficient for large numbers and prevents overflow. The algorithm must include a validation mechanism for the input, confirming it is a positive integer. To add complexity, the ...
codefeedback
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Generate the output for this algorithm with the given input. Your solution should use a recursive approach. Input: array = [5, 4, 1, 2, 6] Output: 8 *Note: The solution should not use any built-in sorting functions or loops.
codefeedback
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Write a function that calculates the sum of all subarrays of a given array. Once the sum of each subarray is computed, the function should return the maximum sum found amongst them. For example, if the input array is [2, 4, -3, 5], then the subarrays will be [2], [2, 4], [2, 4, -3], [2, 4, -3, 5], [4], [4, -3], [4, -...
codefeedback
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Consider the following scenario: A group of 'n' passengers are boarding an airplane that has exactly 'n' seats. The first passenger has misplaced their ticket and chooses a seat at random. Subsequently, the remaining passengers will either take their own seat if it's unoccupied, or select another seat at random if thei...
codefeedback
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I have this problem : Longest Palindromic Subsequence Description are as below: Given a string `s`, return the longest palindromic subsequence in `s`. 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. Example 1: I...
codefeedback
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I am faced with this computational challenge: Determining the Maximum Length of an Arithmetic Subsequence with a Specified Difference. The task is as follows: You are provided with an array of integers, denoted as `arr`, and another integer, `arr`, which represents the `difference`. Your task is to compute and return t...
codefeedback
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Create a Java program to generate and print the Fibonacci series up to a given size. The program should prompt the user to enter the desired size of the series and then generate the Fibonacci series based on the input. The Fibonacci series is a sequence of numbers where each number is the sum of the two preceding ones...
codefeedback
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Generate a random permutation of a matrix of integers. [[[1,2,3],[4,5,6],[7,8,9]]]
codefeedback
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Given two 2D arrays, array1 and array2, find the indices of the first occurrence of a submatrix in array1 that matches array2. A submatrix is a rectangular section of the larger matrix. The matching is determined by comparing the values in the corresponding positions of the submatrix and array2. For example: array1 =...
codefeedback
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I have this problem : Delete Columns to Make Sorted II Description are as below: You are given an array of `n` strings `strs`, all of the same length. We may choose any deletion indices, and we delete all the characters in those indices for each string. For example, if we have `strs = ["abcdef","uvwxyz"]` and deletio...
codefeedback
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Devise a sophisticated algorithm that precisely pinpoints the kth smallest element within a specific class of self-balancing binary search trees, namely an AVL tree, while preserving an O(log n) time complexity, where n signifies the aggregate nodes. The algorithm must exhibit superior performance, considering aspects ...
codefeedback
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