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We will be finding the longest bitonic subsequence in each array using dynamic programming. A bitonic subsequence is a sequence which is first increasing, then decreasing. To find the longest bitonic subsequence, we will use a two-step approach. First, we will find the longest increasing subsequence in the given array, then we will find the longest decreasing subsequence in the reverse of the given array. Finally, we will add the lengths of both the subsequences and subtract 1 to exclude the common element in the middle. Approach A bitonic sequence is a sequence that first increases and then decreases. The ... Read More
We are writing a JavaScript program to find the mth element after k right rotations of an array. Firstly, we will take the input for the array, m and k. Then, we will use a loop to perform the right rotations. In each iteration of the loop, we will move the last element of the array to the first position. We will continue this loop for k times to get the rotated array. Finally, we will return the mth element of the rotated array as the result. Approach The approach for finding the mth element after k right rotations of ... Read More
We will be describing the process of finding the median in a row-wise sorted matrix using JavaScript. First, we will traverse the matrix to gather all the elements into a single array. Then, we will sort the array to find the middle value, which will be our median. In case of an even number of elements, the median will be the average of the two middle values. Approach Given a row-wise sorted matrix, the median can be found by the following approach − Combine all rows into a single sorted array. Find the middle element(s) of the combined array, ... Read More
We will be writing a program to find the maximum value possible by rotating the digits of a given number. We will be using a loop to break down the number into individual digits and rearrange them in a way that gives us the maximum value. The loop will continuously rotate the digits and keep track of the highest value obtained until all possible rotations have been evaluated. The maximum value obtained from this process will then be returned as the result. Approach To find the maximum possible value by rotating digits of a given number, follow these steps − ... Read More
We will be using a mathematical approach to find the maximum value of the sum of the product of the index and the value of the elements in the array. By rotating the array, we can maximize this sum by placing the maximum value of the array at the index with the maximum product. The algorithm we will be using involves finding the sum of the products of the index and values of the elements, then adding the difference between this sum and the product of the length of the array and the sum of the index values to this ... Read More
We will be writing a JavaScript program to find the maximum number of zeros placed consecutively at the start and end of any rotation of a binary string. Our program will take a binary string as input and will return the maximum number of zeros that are placed at the start and end in any rotation of the given string. To solve this problem, we will be using string manipulation techniques to manipulate the input string and find the required output. In the next step, we will be rotating the input string and counting the number of zeros placed at ... Read More
We will be using the JavaScript array sort method and slicing technique to find the k maximum elements of an array in their original order. Firstly, we sort the array in descending order, and then slice it from the beginning to the kth index to obtain the k maximum elements. By preserving the original order of the elements, the significance and context of the data remains intact, making it easier for us to analyze and interpret the results. Approach The approach to find k maximum elements of an array in original order can be described as follows − Create ... Read More
We will be implementing a JavaScript program to find an element at a given index after a number of rotations. This program will require us to perform rotations on an array and then return the element present at the specified index. To accomplish this task, we will be using the modulo operator to calculate the new index after each rotation. The future continuous tense will be used throughout the explanation. In the program, we will be taking the input of the array, the number of rotations, and the index. We will then perform the rotations by using the modulo operator ... Read More
We will write a JavaScript program to find the sum of an array by using bitwise OR after splitting the given array into two halves after K circular shifts. Our program will perform the task by taking an array and an integer K as inputs. First, we will split the array into two halves after performing K circular shifts. Then, we will perform bitwise OR on both the halves to get a new array. Finally, we will find the sum of the new array obtained from the bitwise OR operation. Approach First, perform K circular shifts on the given ... Read More
In JavaScript, “” represents the empty string, and we can use the null keyword to initialize the string with a null value. If we don’t assign any value to any variable, it is undefined by default. Sometimes, we need to check if the string is empty, undefined, or null while working with the strings. For example, we are taking the details from the users via an HTML form, and users can add an empty string to the input field; we need to validate the input field and show the error message to the users. In this tutorial, we will learn ... Read More