You are given a list of integers nums sorted in ascending order, and integers a, b, and c. Apply the following function for each number x in nums: ax^2 + bx + cax 2 +bx+c and return the resulting list in ascending order. This should be done in \mathcal{O}(n)O(n) time. Constraints n ≤ 100,000 where n is the length of nums Example 1 Input nums = [-2, 3] a = 1 b = -3 c = 2 Output [2, 12] Explanation We have nums[0] = 1*-2**2 + -3*-2 + 2 = 4 + 6 + 2

## Randomized Binary Search - Google Top Interview Questions

Consider a modified binary search, where instead of picking the middle element as the pivot, we pick it randomly between the low and the high indices. Given a list of integers nums that's not necessarily sorted, return the number of elements that will always be found using this modified binary search. Constraints n ≤ 100,000 where n is the length of nums Example 1 Input nums = [1, 10, 5, 20] Output 2 Explanation We can always find the elements 1 and 20. For the el

## Range Query on a List - Mutable - Google Top Interview Questions

Implement a data structure with the following methods: RangeSum(int[] nums) constructs a new instance with the given nums total(int i, int j) returns the sum of integers from nums between [i, j). That is, nums[i] + nums[i + 1] + ... + nums[j - 1] update(int idx, int val) updates nums[idx] with value val Constraints n ≤ 100,000 where n is the length of nums k ≤ 100,000 where k is the number of calls to total (overflows) Example 1 Input methods = ["constructor", "tota

## Range Update - Google Top Interview Questions

You are given a list of integers nums and a two-dimensional list of integers operations. Each operation is of the following form: [L, R, X], which means that you should increment by X all the elements from indices L to R inclusive in the list (the list is 0-indexed). Apply all operations and return the final list. Constraints n ≤ 10,000 where n is length of nums o ≤ 10,000 where o is length of operations Example 1 Input nums = [7, 3, 1, -10, 3] operations = [ [

## Recover Original List From Subsequences - Google Top Interview Questions

Given a two-dimensional list of integers lists, where each list is a subsequence of an original list, return the original list. The original list contains unique numbers. There is guaranteed to be one unique solution. Constraints n * m ≤ 100,000 where n and m are the number of rows and columns in lists Example 1 Input lists = [ [1, 3], [2, 3], [1, 2] ] Output [1, 2, 3] Example 2 Input lists = [ [1, 2, 4], [2, 3, 4] ] O