You are given a set of points in a 2D plane, represented as an array where each point is in the format [xi, yi]. Your task is to find the minimum possible area of any rectangle formed by these points, where the sides of the rectangle do not need to be parallel to the X or Y axes. If no rectangle can be formed, return 0. Answers within 10^-5 of the actual area are considered correct.
Design a spellchecker that corrects a given word from a query based on specific rules. For each query, find a matching word from the given wordlist by applying exact matches, case-insensitive matches, or vowel error corrections. Return the corrected word, or an empty string if no match is found.
Generate all numbers of length n such that the absolute difference between every two consecutive digits is exactly k. The generated numbers must not have leading zeros, and all digits should be valid.
You are tasked with sorting an array of integers by performing a series of pancake flips. A pancake flip involves reversing the order of elements from the start of the array up to a specified index. The goal is to determine the sequence of flips needed to sort the array in ascending order.
Given three integers x, y, and bound, find all powerful integers that are less than or equal to bound. A powerful integer can be expressed in the form x^i + y^j for non-negative integers i and j. Return the results as a list with no duplicates, and the order of the elements does not matter.
You are given the root of a binary tree with n nodes, where each node has a unique value from 1 to n. You are also given a sequence of n integers, voyage, representing the desired pre-order traversal of the tree. A node in the tree can be flipped by swapping its left and right children. Your task is to find the smallest set of nodes to flip such that the pre-order traversal matches voyage. If it is impossible to achieve this traversal, return [-1].