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Write a function that returns the number of times an element appears in a sorted array. The function should only use a single loop and have a time complexity of O(log n), where n is the size of the array. The array will contain at most 10^6 elements and the element to search for will be a positive integer between 1 and...
codefeedback
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Please write a class in Java that prints out the nth number of the Fibonacci sequence using recursion. The Fibonacci sequence is defined as a series of numbers in which each number is the sum of the two preceding ones, usually starting with 0 and 1. For example, the Fibonacci sequence of length 6 is: 0, 1, 1, 2, 3, 5. ...
codefeedback
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Construct an array of N elements from a given string, where N is the length of the string. String: "programming is fun and challenging" Time Complexity: O(N) Space Complexity: O(N)
codefeedback
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Generate an array with the prime numbers between -100 and 100 in incremental order, excluding any prime number that ends with the digit 7.
codefeedback
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Create a mapping of keys and values from a given dictionary, ensuring that all keys are uppercase and all values are positive integers. Given dictionary: {"apple":3, "banana":5, "cherry":7, "date":11} Additional requirements: The mapping should only include keys starting with a vowel and the sum of all values should be...
codefeedback
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There are three types of pears of varying weights: the first kind weighs 2 kilograms, the second kind weighs 3 kilograms, and the third kind weighs 4 kilograms. Additionally, there are requirements that you must have at least 2 of the first type of pears, 1 of the second type, and 1 of the third type. Given a targeted...
codefeedback
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Find the shortest sub array in the given array which has a sum greater than or equal to the given number. array = [2, 4, 5, 7, 10], number = 14
codefeedback
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I have this problem : Maximize Score After N Operations with Constraints Description are as below: You are given `nums`, an array of positive integers of size `2 * n`. You must perform `n` operations on this array. In the `ith` operation (1-indexed), you will: Choose two elements, `x` and `y`. Receive a score of `i *...
codefeedback
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Check if a given string contains all the alphabets in a specific order. The alphabets must appear consecutively and in the same order as they do in the English alphabet. The function should return the starting index of the substring that satisfies the condition. If no such substring exists, return -1. Example: Input: ...
codefeedback
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Given a list of numbers, including negative numbers and duplicates, sort them in increasing order without using any built-in sorting functions. nums = [2, 3, 1, -1, 4, 5, 3]
codefeedback
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Given a list of numbers, create a function that finds the two elements that sum to a given target number. The function should return the indices of the two elements instead of the elements themselves. Additionally, the function should handle cases where there are multiple pairs that sum to the target number and return ...
codefeedback
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I have this problem : Rotate Array with a Twist Description are as below: Given an array, rotate the array to the right by `k` steps, where `k` is non-negative. After rotating the array, find the sum of all the elements at even indices and subtract the sum of all the elements at odd indices. Return this final result. ...
codefeedback
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Write an algorithm to find the second largest prime number in an array. #Constraints# - The array will contain at least two elements. - The array may contain duplicates. - The array elements can be positive, negative, or zero. #Example# Input: [8, 11, 12, 5, 3] Output: 5
codefeedback
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I am faced with a challenge titled: Longest Duplicate Substring. The task is as follows: Given a string `s`, the goal is to identify all duplicated substrings, which are defined as (contiguous) substrings of `s` that appear 2 or more times, even if the occurrences overlap. The task is to return any duplicated substrin...
codefeedback
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Submit an optimized solution to the following leetcode problem. Problem: Given two binary trees, write a function to check if they are the same or not. The trees should have at most 1000 nodes each and the values of the nodes should be prime numbers within the range of 1 to 100. Two binary trees are considered the same...
codefeedback
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You are tasked with a problem that involves converting a decimal to a fraction with a recurring part. The problem is described as follows: You are given a string that represents a decimal number. Your task is to return the fraction in the form of two integers that represent the `numerator` and `denominator`. If the de...
codefeedback
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The integer $7$ holds a unique characteristic, as it can be represented as $111$ in binary notation (base $2$), and as $11$ in senary (base $6$) system (i.e. $7_{10} = 11_6 = 111_2$). This implies that $7$ is a repunit in a minimum of two bases $b \gt 1$. We will designate a positive integer possessing this attribute...
codefeedback
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Initialize a 2D array with random integers between 1 and 100. Time complexity requirement: O(n^2), where n is the size of the 2D array. Space complexity requirement: O(n^2), where n is the size of the 2D array. Note: The above requirements ensure that the algorithm runs efficiently even for large input sizes.
codefeedback
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I have this problem : Magical String Description are as below: A magical string S consists of only '1', '2' and '3' and obeys the following rules: The string S is magical because concatenating the number of contiguous occurrences of characters '1', '2' and '3' generates the string S itself. The first few elements of s...
codefeedback
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I have this problem : Path With Maximum Minimum Value Description are as below: Given a matrix of integers `A` with R rows and C columns, find the maximum score of a path starting at `[0,0]` and ending at `[R-1,C-1]`. The score of a path is the minimum value in that path. For example, the value of the path 8 → 4 → ...
codefeedback
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Nim is a game of strategy that involves two participants and a collection of stones arranged in heaps. The game progresses in turns, with each participant having the option to remove any number of stones from a single heap until no stones remain. The participant who is unable to make a move due to the lack of stones is...
codefeedback
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Generate a Fibonacci sequence with a given length that only contains prime numbers and each number in the sequence is greater than the previous one. length = 15
codefeedback
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Consider a prime number denoted as $p$. We define a function $S(p)$ as the summation of the factorial of $(p-k)$, where $k$ ranges from $1$ to $5$, all under modulo $p$. To illustrate, let's take $p=7$. The calculation would be as follows: $(7-1)! + (7-2)! + (7-3)! + (7-4)! + (7-5)! = 6! + 5! + 4! + 3! + 2! = 720+120...
codefeedback
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I have this problem : Best Sightseeing Pair Description are as below: You are given an integer array `values` where values[i] represents the value of the `ith` sightseeing spot. Two sightseeing spots `i` and `j` have a distance `j - i` between them. The score of a pair (`i < j`) of sightseeing spots is `values[i] +...
codefeedback
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Sort an array of integers using a modified version of heapsort algorithm, with the additional requirement of implementing the heapsort algorithm using a min-heap data structure. The input array may contain duplicates and have a length of at least 100. Additionally, the time complexity of the algorithm should be O(n log...
codefeedback
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Perform a binary search on the following list of integers, but ensure that the search algorithm also returns the index of the found element in addition to the element itself. Additionally, the search algorithm should handle duplicate elements in the list and return the index of the first occurrence of the found element...
codefeedback
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Compute the sum of two integers without using the "+" operator. x = 5 y = 7
codefeedback
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Write a method in Java that returns an array of the first N prime numbers. n=10 **Reference Erroneous Code:** ```java public static int[] getFirstNPrimeNumbers(int n) { int[] primeNumbers = new int[n]; int count = 0; for (int i = 2; count < n; i++) { if (isPrime(i)) { primeNumbers[count...
codefeedback
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Given an array of strings, output the lexicographical order of the unique strings in descending order. The input array may contain duplicate strings and have a maximum length of 10^6. To solve this problem: 1. Initialize an empty set to store unique strings. 2. Iterate through each string in the input array. 3. Check ...
codefeedback
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Given a sequence of integers, find the largest prime palindrome in the sequence. If no prime palindromes are found, return -1. The solution should have a time complexity of O(n) and use only constant space. #Example# Input: [2332, 24124, 1221, 89898] Output: 1221
codefeedback
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You are faced with a computational challenge that involves the Postorder Traversal of a Binary Tree. The mission necessitates the provision of the `root` of a binary tree, with the ultimate objective being to return the postorder traversal of the node values. The Binary Tree input is serialized in their level order tr...
codefeedback
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Develop a function that sorts the given array of alphanumeric elements in ascending order of their numerical value and character alphabetically if numerical values are the same. Consider large datasets. ['21a', '10b', '3c', '100d', '2e', '21b']
codefeedback
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Write a function that takes in a list of elevations representing the heights of mountains in meters. Find the highest peak in the list and return its index. If there are multiple peaks with the same height, return the index of the last occurrence. The function should have a time complexity of O(n) and a space complex...
codefeedback
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Create a python function that takes a string of characters as an argument and returns a list of all unique combinations of characters possible, excluding any combination that includes a repeating character. The function should have a time complexity of O(2^n), where n is the length of the input string. Example: Input: ...
codefeedback
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Determine the second smallest and second greatest number from the given list of numbers. The list may contain integers, floating-point numbers or even repeating numbers. The numbers will not follow any particular order. For example, if we have a list: [45, 88, 12, 67, 29, 76, 12, 45.5, 88.0, 29], the program needs to r...
codefeedback
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Partition a list of integers into a pair of linked lists, the first one consisting of even numerals in ascending order coming from initial list and the subsequent linked list with odd numerals in a descending order with repetitions removed. Also, ensure the solution performs optimally for large inputs i.e., linear time...
codefeedback
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I have this problem : Matrix Block Sum with additional conditions Description are as below: Given a `m x n` matrix `mat`, an integer `k`, and a boolean `isEven`, return a matrix `answer` where each `answer[i][j]` is the sum of all elements `mat[r][c]` for: `i - k <= r <= i + k,` `j - k <= c <= j + k`, and `(r, c)` is a...
codefeedback
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Calculate the Fibonacci sequence up to a given number N, where N is provided as input by the user. You are not allowed to use recursion. You must implement an iterative approach to solve the problem. In addition, you need to optimize your solution to handle large values of N efficiently. Consider using techniques such...
codefeedback
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&lt;p&gt;Generate a sequence of numbers using the &#34;Linear Congruential Generator&#34; pseudo-random number generator:&lt;/p&gt; \begin{align} s_0 &amp;amp;= 123456789\\ s_{n + 1} &amp;amp;= (a \cdot s_n + c) \bmod m \end{align} &lt;p&gt;where $a = 1103515245$, $c = 12345$, and $m = 2^{31}$. Concatenate these numb...
codefeedback
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Change this code to its C++ equivalent: def is_prime(n): # handling negative numbers, zero and 1 if n < 2: return False # checking if the number has any divisor for i in range(2, int(n**0.5) + 1): if n % i == 0: return False return True def prod_signs(arr): unique_v...
codefeedback
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Write a Python program to find all the equilibrium indexes of an array. An index of an array is called an equilibrium index if the sum of elements at lower indexes (excluding the element at the index itself) is equal to the sum of elements at higher indexes (excluding the element at the index itself). The program shoul...
codefeedback
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Write a function that takes a list as a parameter and returns only the unique elements in the given list. You may not use any built-in functions or libraries to accomplish this task. Additionally, your solution should have a time complexity of O(nlogn), where n is the length of the input list. Please note that the lis...
codefeedback
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Find the sum of the series n^4/(4n+2). 14
codefeedback
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Write a Java program to find the maximum element in a two dimensional array. int[][] matrix = {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}
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Given two strings, str1 and str2, 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 no...
codefeedback
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Write a function to select the second largest unique value in an array. The array may contain duplicates. Example: Input: [1, 3, 6, 8, 7, 0] Output: 7 Note: In the given example, the second largest unique value in the array is 7.
codefeedback
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Convert the given algorithm written in pseudo code to Python. Input: Array A 1. from i=1 to i=length[A] 2. j=i 3. min = A[i] 4. for j = i+1 to length[A] 5. if min > A[j] 6. min = A[j] 7. swap A[i] with A[j]
codefeedback
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Using a random seed of 0, generate a 5x4 random matrix of integers up to the given number, and then perform the following tasks: 1. Calculate the sum of all the elements in the matrix. 2. Find the transpose of the matrix. 3. Calculate the product of the elements along the diagonal (i.e. the product of matrix[i][i] for ...
codefeedback
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Given a list of numbers, write a program that finds all the numbers that are divisible by both 3 and 5. Additionally, for each number found, calculate the product of its digits and display the result. For example, given the list: myList = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20] The p...
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Write a function that takes in a sorted array and a target element and returns the index of the target element using binary search. The array may contain duplicates. If the target element is not found, return -1. Example: Input: arr = [1, 2, 2, 3, 4, 5, 6, 7] target = 2 Output: 1 You may assume that the input array i...
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Find the maximum number in the given array without using an inbuilt function, and do not use any loops or recursion in your solution. Array = [3, 1, 7, 5, 8]
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You are given an integer `numRows`, representing the number of rows to generate in Pascal's triangle. Pascal's triangle is a triangular array of binomial coefficients. Each number in the triangle is the sum of the two numbers directly above it. The first row is always 1, and the subsequent rows are constructed by addin...
codefeedback
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Refine a function tasked with orchestrating an array of non-negative integers in a two-tiered manner. Initially, classify these integers based on the length of their binary equivalents in a non-descending sequence. For integers sharing identical binary length, align them considering their numerical values. Subsequently...
codefeedback
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&lt;p&gt;Consider an integer sequence $\{a_1, a_2, \dots, a_n\}$ of length $n$ satisfying the following conditions:&lt;/p&gt; &lt;ul&gt;&lt;li&gt;The first element of the sequence, $a_1$, is equal to 6.&lt;/li&gt; &lt;li&gt;For every integer $i$ such that $1 \le i \lt n$, the Euler's totient function of $a_i$, denoted ...
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Given a collection of integers, write a code to sort the integers in ascending order. However, you are not allowed to use any built-in sorting functions or libraries. arr = [5, 7, 3, 8, 10]
codefeedback
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Write code to find the maximum sum for a non-contiguous subarray of a given array, where the array can contain both positive and negative numbers.
codefeedback
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Write a dynamic programming algorithm to solve the following problem: Given an array of positive integers, find the maximum sum of a subsequence with the constraint that no two numbers in the sequence are adjacent to each other. For example, for the input array [1, 2, 3, 4, 5], the maximum sum of a subsequence would b...
codefeedback
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Using list comprehension, write a Python code to get a list of all possible subsets of the list [1, 2, 3, 4] that have a sum greater than 5.
codefeedback
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Sort an array using bubble sort technique in descending order. arr = [8, 6, 7, 5, 4, 3, 1]
codefeedback
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Write a Python function to calculate the least common multiple (LCM) of a list of numbers. The function should take a list of integers as input and return the least common multiple of all the numbers in the list. The function should have a time complexity of O(n^2 log n), where n is the length of the input list. To c...
codefeedback
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Given a list of phone numbers, write a code to find the one with the highest number of repeated digits. The phone numbers may contain special characters such as parentheses, hyphens, or spaces. Your code should consider the repeated digits only when comparing the phone numbers. phone_numbers = ["+44 (0) 123-456-789", ...
codefeedback
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You are given a Python code snippet that prints a pattern of "B" and "G" characters. The code snippet is as follows: ```python print("B",end="") else: print("G",end="") print("") ``` Your task is to write a Python function that takes an integer `n` as input and prints a pattern of "B" and "G" characters based on...
codefeedback
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You are given a task to solve a problem inspired by Project Euler Problem 173. A square lamina is defined as a square outline with a square "hole" such that the shape possesses vertical and horizontal symmetry. For example, using exactly thirty-two square tiles, two different square laminae can be formed. Your task is ...
codefeedback
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Output the sum of the third largest prime number and third smallest even number from the provided list, where the list contains at least 10^6 elements.
codefeedback
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Write a Python script to find the maximum depth of a given nested list. nested_list = [[1,2], [3,4], [5,6,7]]
codefeedback
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You are given a list of integers representing the daily stock prices of a company. Your task is to write a function to calculate the maximum profit that can be obtained by buying and selling the stock at most once. If it is not possible to make any profit, the function should return 0. For example, given the input lis...
codefeedback
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Analyze and provide the time complexity for the ensuing code segment, bearing in mind the dimensions of the incorporated data structures. arr = [5, 2, 4, 8, 1] for i in range (len(arr)): for j in range (len(arr)):
codefeedback
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Given a list of tuples, write a function that returns a new list containing the absolute difference between the first and second element of each tuple, but only if the sum of the elements in the tuple is a prime number. If the sum of the elements in the tuple is not a prime number, return None for that tuple. The input...
codefeedback
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Convert a list of numbers to a 7x7 matrix where the numbers are arranged in a spiral pattern. The spiral pattern starts from the top left corner, moves in a clockwise direction, and continues in this manner until all numbers in the list have been placed in the matrix. given_list = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 1...
codefeedback
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The task at hand involves a problem titled "Search in Rotated Sorted Array". Here's a detailed explanation: An integer array `nums` is initially sorted in ascending order with unique values. However, before it's handed over to your function, `nums` undergoes a rotation at an unknown pivot index `k` (`0 &lt;= k &lt; num...
codefeedback
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Compile and run the following C++ program that prints the Fibonacci sequence up to a given number N. The program should take N as input from the user and print the Fibonacci sequence up to N. Example output: Enter the value of N: 10 Fibonacci sequence up to 10: 0 1 1 2 3 5 8 Requirements: - The program should be impl...
codefeedback
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Implement a binary search algorithm to find the closest number to a given value in a sorted array. If the given value is present in the array, return it as the closest number. If there are two numbers equally close to the given value, return the larger number. The array can have duplicate values and can have a maximum ...
codefeedback
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I have this problem : Minimum Depth of N-ary Tree Description are as below: Given a n-ary tree, find its minimum depth. The minimum depth is the number of nodes along the shortest path from the root node down to the nearest leaf node. Nary-Tree input serialization is represented in their level order traversal, each g...
codefeedback
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Create a function to find a pair of elements in an array whose sum matches the given target. If multiple pairs exist, return the pair with the highest sum. If no such pair exists, return an empty array. # Example # numbers = [1, 2, 3, 4, 5], target = 6 Output: [4, 2] Explanation: The pairs that sum up to the target ...
codefeedback
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Overcome this problem by applying Java language techniques. More specifically, you are presented with an array of integers. Your task is to deduce the positions of three numbers in the array whose cumulative sum is as close as possible to a designated target value. If there are multiple sets of numbers that result in t...
codefeedback
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You are tasked with a problem titled "Minimum Value to Get Positive Step by Step Sum". The problem description is as follows: You are given an array of integers, `nums`, and you begin with a certain positive value, startValue. In each iteration, you are to compute the cumulative sum of startValue and the elements in `...
codefeedback
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Determine the second smallest and second greatest number from the given 2D list. Additionally, implement a function that efficiently handles lists of varying lengths and nested depths. 2D List: [[45, 88], [12, [67, 29]], 76]
codefeedback
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You are presented with a challenge named "Confusing Number". The task requires you to evaluate a number `N` and determine if it qualifies as a confusing number. A number is deemed confusing if it adheres to the following criteria: It is possible to rotate its digits 180 degrees to create new, valid digits. Specifically...
codefeedback
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Given a string, find the number of times a given character appears in the string. However, you are not allowed to use any built-in functions or methods that directly count the occurrences of the character in the string. String: "Hello World" Character: "l" #Additional Steps# 1. Initialize a variable `count` to 0. 2. ...
codefeedback
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Implement a modified version of the insertion sort algorithm that sorts an array of integers in descending order. The array should be sorted using the modified algorithm. Input: [3, 4, 8, 1, 5, 7, 2, 9, 6, 0] Output: [9, 8, 7, 6, 5, 4, 3, 2, 1, 0] Explanation: In this modified version of the insertion sort algorithm...
codefeedback
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Sort an array of characters in alphabetic order. The array must be sorted in ascending order and should also ignore case sensitivity. Additionally, the sorted array should have all the vowels (a, e, i, o, u) placed before the consonants. Finally, the sorting algorithm used should have a time complexity of O(n log n). ...
codefeedback
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Write a JavaScript function that takes in two arrays of equal length, and returns a new array that contains only the unique elements from both arrays, in ascending order. Additionally, the function should ignore any elements that are divisible by 3. The function should also handle arrays with a maximum length of 1000. ...
codefeedback
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Write a function to convert a Roman numeral to an integer. The Roman numeral system is based on a combination of seven symbols: I, V, X, L, C, D, and M, representing the numbers 1, 5, 10, 50, 100, 500, and 1000 respectively. The rules for converting Roman numerals to integers are as follows: 1. The symbols I, X, an...
codefeedback
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A unit fraction is characterized by having $1$ as its numerator. The decimal equivalents of unit fractions with denominators ranging from $2$ to $10$ are as follows: \begin{align} 1/2 &amp;= 0.5\\ 1/3 &amp;=0.(3)\\ 1/4 &amp;=0.25\\ 1/5 &amp;= 0.2\\ 1/6 &amp;= 0.1(6)\\ 1/7 &amp;= 0.(142857)\\ 1/8 &amp;= 0.125\\ 1/9 &amp...
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 and the smaller element is at an odd index. If there are multiple pairs that satisfy this condition, return the maximum difference among all such pairs. A...
codefeedback
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Given a collection of integers, write a code to sort the integers in ascending order. However, you are not allowed to use any built-in sorting functions or libraries. You are also not allowed to use any additional data structures. arr = [5, 7, 3, 8, 10] #Difficulty Increased Test#
codefeedback
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Analyze the computational complexity of the following piece of code. int fun(int n){ if(n < 2){ return n; } return fun(n-1) + fun(n-2); }
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In the context of a sequential arrangement of distinct integers, devise an algorithm to identify the most extensive progression of successively ascending numeric values, ignoring their positions within the original sequence. [1, 2, 3, 4, 5, 3, 2, 6]
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Rearrange the elements in the presented list such that all elements conforming to the mathematical property of evenness precede those possessing the trait of oddness while maintaining their relative order. Additionally, build a function that checks if a number is prime. If the number is prime and even (like 2), it shou...
codefeedback
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Given a binary tree, write a method to compute the maximum path sum, where the path must include the root node and at least one leaf node. 10 / \ 2 10 / \ / \ 20 1 -25 6
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Create an algorithm in MATLAB for sorting an array of integers in ascending order using the bubble sort algorithm. arr = [8, 3, 5, 9, 4] #Hint 1# The bubble sort algorithm works by repeatedly swapping adjacent elements if they are in the wrong order. This process is repeated until the array is fully sorted. #Hint 2# ...
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Write a function that takes two arrays and returns a new array with all the items of the first array followed by all the items of the second array, while ensuring that the resulting array is sorted in ascending order. However, the resulting array should also have all the negative numbers sorted in descending order befo...
codefeedback
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You are given an array of integers `nums`. Your task is to find the shortest subarray that, when sorted, makes the entire array sorted in non-decreasing order. Return the length of the subarray. If the array is already sorted, return 0. For example, given the array `nums = [1, 3, 5, 4, 2]`, the subarray `[3, 5, 4]` ne...
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Given a list of integers, ranging from -1000 to 1000, categorize the numbers into odd or even, and further group them into positive and negative integers. Additionally, provide the sum and average of each group. The input should be in the form of a Python list. Example input: numbers = [-789, 0, 456, 7, 4, 19, -345, ...
codefeedback
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Given an array of integers, return an array where each element is repeated twice, and the order of the repeated elements should be reversed compared to the original array. The array should also be sorted in ascending order. arr = [1, 2, 3, 4] Additional Constraints: - The length of the array should be at least 2. - Th...
codefeedback
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Find the prime factorization of the given number, ensuring that the algorithm runs in O(sqrt(n)) time complexity and uses a space complexity of O(1).
codefeedback
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Write a code to identify the longest length of the non-repeated increasing subsequence in the given array. arr = [6, 8, 1, 3, 2, 5, 9, 7]
codefeedback
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Complete the following erroneous code and add extra constraints: /* You are provided with a positive integer n. Your task is to create an integer array a with the length n. For each i (1 ≤ i ≤ n), the value of a[i] = i * i - i + 1. At this point, you are to implement a complex recursive function that equ...
codefeedback
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Implement a computationally efficient algorithm to solve the following problem: Given an array of integers, check if the sum of any two integers in the array is divisible by 10. The array may contain duplicates, and the algorithm should handle this properly. Additionally, optimize the algorithm to find the pair of int...
codefeedback
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Determine the cumulative count of unique constituents in the subsequent multidimensional arrangement with additional constraint that the nested lists can go up to 3 levels deep. my_array = [[[1,2], 3], 4, [[1, 2]], 4]
codefeedback
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