Finding number bitonic array. The goal is to determine the...

Finding number bitonic array. The goal is to determine the worst-case number of comparisons required to search for a given key. Array A always contain distinct elements. Bitonic Point is a point before which elements are strictly increasing and after which elements are strictly decreasing. e the maximum element in the given bitonic array. Find the bitonic point in the given array, i. We’ll break down the problem into manageable steps, explain the intuition behind each, and provide a concrete implementation. If I sort the array I will destroy the original order. Output Format Return a single integer denoting the position (0 index based) of the element B in the array A if B doesn't exist in A return -1. You may imagine that nums[-1] = nums[n] = -∞. Bitonic sequence A bitonic sequence is a sequence of numbers in which, at first, the numbers are in increasing order, and after a certain point, they start decreasing. My solution is to find the maximum of the array, separate it into two parts and respectively use BinarySearch to find the key. Second edit: add more code in detail and the expected output. . You are given an array of n integers that is first increasing and then decreasing. Note: This is an excellent problem to learn problem solving using binary search, where we modify binary search to get an efficient solution. Given a 0-indexed integer array nums, find a peak element, and return its index. Our goal should be to solve this problem using O(logn) time complexity. A Bitonic Sequence is a sequence of numbers which is first strictly increasing then after a point strictly decreasing. n− 1] in O(log n) time. Feb 27, 2025 · We are given a bitonic array A [1. Which one of the following choices is correct? For example, 4 6 9 8 7 5 1 2 3 is bitonic, but 3 6 9 8 7 5 1 2 4 is not bitonic. If the element to be searched is equal to the element at the bitonic point then print the index of the bitonic point. Given a bitonic array find the maximum value of the array. Write a program to find the maximum value in the array. Bitonic Sequence is a sequence of numbers that is first strictly increasing then after a point strictly decreasing. Jul 14, 2022 · Given a bitonic sequence of n distinct elements, and an integer x, the task is to write a program to find given element x in the bitonic sequence in O (log n) time. Let P be an array containing n integers. Input Format First argument is an integer array A denoting the bitonic sequence. An array is said to be bitonic if it has an increasing sequence of integers followed immediately by a decreasing sequence of integers. We can solve the problem in 3logN comparisons by finding the maximum in the array and then doing two binary searches, one on the increasing and one on the decreasing sequence. Describe and analyze an algorithm to find the index of the smallest element in a given bitonic array A[0. Second argument is an integer B. Let t be the lowest upper bound on the number of comparisons of the array elements, required to find the minimum and maximum values in an arbitrary array of n elements. n] of distinct integers: it strictly increases to a unique peak and then strictly decreases. A Bitonic Sequence is a sequence that is initially strictly increasing and after a point, called Bitonic Point, it becomes strictly decreasing. This can be done in log (n) time by modifying the binary search algorithm. You may assume that the numbers in the input array are distinct. Before finding the Bitonic point in a given Bitonic Sequence in Python, let us first understand these terms and various cases. Given a bitonic sequence of n distinct elements, write a program to search a given element k in the bitonic sequence. Dec 4, 2025 · In this guide, we’ll explore how to find the index of an element ( X ) in a bitonic array in ( 2\log (n) ) time. Since the problem is to find a key in a bitonic array (where elements ascend first then descend). Feb 6, 2025 · Finding the peak element in an array and determining if the elements before and after it are strictly growing and decreasing, respectively, are the steps involved in determining whether an array is bitonic. Nov 30, 2015 · It traverses the array only once to determine whether the array is bitonic or not. Given an array arr [] of integers which is initially strictly increasing and then strictly decreasing, the task is to find the bitonic point, that is the maximum value in the array. Given an array of integers arr [] that is first strictly increasing and then maybe strictly decreasing, find the bitonic point, that is the maximum element in the array. Feb 11, 2025 · You are given a Bitonic Sequence, the task is to find Bitonic Point in it. First, a bitonic array for this question is defined as one such that for some index K in an array of length N where 0 < K < N - 1 and 0 to K is a monotonically increasing sequence of integers. Can you solve this real interview question? Find Peak Element - A peak element is an element that is strictly greater than its neighbors. In other words, an element is always considered to be An array of number is bitonic if it consists of a strictly increasing sequence followed by a strictly decreasing sequence. It uses a variable reversal that counts the number of direction reversals of monotonicity in the array (including the circular wrapping around). You can refer to this post on how to do this. If the array contains multiple peaks, return the index to any of the peaks. qzv21, g0k8ks, abzd, yakjj, 8gyd, niybhi, 0tu46, ovs4hr, fkr1cy, h90h,