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<|endoftext|>// 1. What is the difference between an array and a linked list?
An array is a data structure that stores a collection of elements in a contiguous block of memory. It allows for random access to elements by using an index, and elements can be added or removed from the beginning, end, or middle of the array. However, arrays have a fixed size and may require expensive operations to resize.
A linked list is a data structure where each element, called a node, contains a value and a pointer to the next node in the list. Unlike arrays, linked lists do not have a fixed size and can easily add or remove elements without the need for expensive resizing operations. However, accessing elements in a linked list is slower than in an array, as it requires traversing through the list from the beginning.<|endoftext|>Fibonacci
The Fibonacci sequence is a mathematical sequence in which each number is the sum of the two preceding ones, starting from 0 and 1. The sequence goes as follows: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, etc.
The sequence was first described by Leonardo Fibonacci, an Italian mathematician, in the 13th century. He discovered the sequence while studying the growth of rabbit populations.
The sequence has many interesting mathematical properties and can be found in various natural phenomena, such as the branching of trees and the arrangement of seeds in a sunflower.
The ratio between two consecutive numbers in the sequence, known as the golden ratio, is approximately 1.618. This ratio has been used in art, architecture, and design for its aesthetic appeal.
The Fibonacci sequence is also used in computer algorithms and coding, as it can efficiently generate random numbers and is used in various sorting and searching algorithms.
Overall, the Fibonacci sequence is a fascinating mathematical concept that has many practical applications and can be found in nature all around us.
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