For the Fibonacci sequence, 1,1,2,3,5,8,12,... To solve the nth value, we usually use a recursive algorithm, that is, a recursive f (n) = f (n-1) +f (n-2). However, this is a very inefficient algorithm, when n reaches 41, it has to need about 1s, with the increase of N, time is the number of levels of growth.Because the recursive algorithm has too many repeated calculations, as shown in the time t (n) = t (
The Fibonacci sequence (Fibonacci sequence), also known as the Golden Section, was introduced by the mathematician Leonardo's Fibonacci (Leonardoda Fibonacci) as an example of rabbit reproduction, so called the "rabbit
Before the Fibonacci sequence was counted as the sum of the first two numbers.such as 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233,377,610,987,1597,2584,4181,6765,10946,17711,28657,463682=1+13=1+25=2+38=3+5......
In fact, there is another rule:2 = 1*2-03 = 2*2-15 = 3*2-18 = 5*2-213= 8*2-321=13*2-5......
The following is the JS implementation of the Code:DOCTYPE HTML>HTML>Head>MetaCharSet= "
.======================================================================To theory, please read the "Data structure and algorithm analysis C language description" and "Algorithm introduction", I put a code, do not spit groove.======================================================================Recursive1#include 2#include 3 4 using namespacestd;5 6 long Fibonacci (long LN)7 {8 if(ln2)9 {Ten returnLN; One } A - returnFibonacci (
Do a Fibonacci algorithm problem, result run timeoutpublic class Solution {public int Fibonacci (int n) { if (n = = 0) { return 0; } if (n = = 1) { return 1; } Return Fibonacci (n-1) + Fibonacci (n-2); }}Found an article, http://blog.csdn.net/sloder/article/details/8624373Follow the ideas
Title: Write a function, enter n, and find the nth of the Fibonacci Sequence.1 packagesolution;2 3 /**4 * Sword Point offer question 9: Fibonacci sequence5 * Title: Write a function, enter n, and find the nth of the Fibonacci Sequence. 6 * 0, n=17 * The
Question: Find the nth number in the Fibonacci sequence.
The so-called Fibonacci sequence refers to: The first 2 numbers are 0 and 1. The number of i-1 and the number of i-2.
The first 10 numbers of the Fibonacci series are:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34 ...
Answer:
(i)
Fibonacci numbers refer to such a sequence of 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233,377,610,987,1597,2584,4181,6765,10946,17711,28657,46368The inventor of the Fibonacci sequence, the Italian mathematician Leonardo's Fibonacci (Leonardo
For JS beginners, the Fibonacci sequence has always been a headache, and the idea is never clear.Hope to read this article will be helpful to you.What is the Fibonacci sequence:A: Fibonacci series, also known as the Golden section of the series, because the mathematician Leonardo's
Fibonacci series (Fibonacci sequence), also known as the Golden Section series, because the mathematician Leonardo's Fibonacci (Leonardoda Fibonacci) to the rabbit breeding as an example of the introduction, so called "Rabbit series", refers to such a series: 1, 1, 2, 3, 5,
The Fibonacci sequence is a very interesting sequence, starting with 0 and 1, after which the Fibonacci Fibonacci coefficients are added by the previous two numbers. The Fibonacci sequence
We write the series:
fibonacci[0] = 0,fibonacci[1] = 1
Fibonacci[n] = fibonacci[n-1] + fibonacci[n-2] (n >= 2)
it can be written in the form of matrix multiplication:
The right continuous expansion will be:
The following is the calculation of an O (log (n)) algorithm:
The
Topic DescriptionWe all know the Fibonacci sequence, and now you're going to need to enter an integer n, so you output the nth item in the Fibonacci sequence.
n
Method 1:
Cycle.
#-*-Coding:utf-8-*-
class Solution:
def Fibonacci (self, N):
# Write code here
("The first 20 items of the Fibonacci series are:");for (int j = 1; J System.out.print (Getfibo (j) + "T");if (j% 5 = 0)System.out.println (); }}
Xiao Kee: beginners java Edge began to contact the Fibonacci sequence problem (1,1,2,3,5,8,13,21 such a series, starting from the third number of each number equal to its previous two numbers added), began to understa
In the course of our learning algorithm, the Fibonacci sequence is definitely a thing to encounter, in fact, we are not in order to learn a simple sequence, more importantly, to learn his thoughts-recursion. I think recursion is the most high-frequency way to solve many algorithmic problems. The simplest description of recursion is that a function calls itself, a
First Note:The code is executed from the top down, from left to right!!This is the m= arbitrary number written for the For loop. Represents how many bits of 1~ andpublic class fei_bo_na_qi{public static void Main (string[] args) {int m = 30; This represents the 1~30 andSystem.out.println ("+m+" of the Fibonacci sequence is: "+m1 (m));//Call function at output}public static int M1 (int i) {//Create methodif
The Fibonacci sequence is also known as the "rabbit sequence" because of the example of the breeding of the rabbit by the mathematician Leonardo's Fibonacci. Fibonacci sequence in general, rabbits are fertile after two months of b
Question G: Example 6-2 array solving Fibonacci sequence problem
time limit: 1 Sec memory limit: MBFlowers: 144 Resolution: 140Flowers Wreath [TK Bank]
Title DescriptionFeatures of the Fibonacci series: 1th, 2 numbers are 1, 1. Starting with the 3rd number, the outline is the sum of the preceding two numbers. ThatThe first 20 digits of the output
Interview save experience, let's go!On the occasion of the Entrance examination, restless I again double 叒 Corporation set out to interview save experience, went to the company confessed a process, the interviewer dumped me a piece of A4 paper, which wrote a JS algorithm pen test (I did not know this is in the study JS algorithm), which says "1, 1, 2, 3, 5, 8 ..., to find the value of the nth number "I have to admit that at the time I first saw this problem in the brain is crazy. Later only reme
The content source of this page is from Internet, which doesn't represent Alibaba Cloud's opinion;
products and services mentioned on that page don't have any relationship with Alibaba Cloud. If the
content of the page makes you feel confusing, please write us an email, we will handle the problem
within 5 days after receiving your email.
If you find any instances of plagiarism from the community, please send an email to:
info-contact@alibabacloud.com
and provide relevant evidence. A staff member will contact you within 5 working days.