[Sword refers to Offer learning] [interview question 9: Fibonacci series], offer Fibonacci
O (n) time O (1) Space implementation:
Public class Test09 {/*** write a function, input n, and calculate the Fibonacci (Fibonacci) number of entries in the number of columns * @ param n Fi
[Offoffoffer] refers to the Fibonacci series, and the sword refers to the Offer Fibonacci series.Problem description
We all know that the Fibonacci series requires an integer n. Please output the nth entry of the Fibonacci series.Algorithm Analysis
This is relatively basic. I can write the meaning of the
1978 Fibonacci Series 3, Fibonacci Series1978 Fibonacci Series 3
Time Limit: 1 s space limit: 64000 KB title level: Bronze
QuestionDescription
Description
The Fibonacci series is like this:
F1 = 1
F2 = 1
F3 = 2
F4 = 3
....
Fn = fn-1 + fn-2
Enter an integer n.
FnInput description
Input Description
An integer n, n Outpu
Php implements code sharing of the Fibonacci series and the Fibonacci series
The Fibonacci series refers to a series of 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,144,233,377,610,987,159, 17711, 28657,463 68 ........
This series starts from 3rd items, and each item is equal to the sum of the first two items.
F0 = 0, F1 = 1, Fn = F (n-1) + F (n-2)
Recursive version and
The T-SQL implementation of the Fibonacci sequence (Fibonacci sequence); withT as (SELECT 1 asNumCAST(1 as BIGINT) asCurrCAST(NULL as BIGINT) asPRVUNION AllSELECTCurr. Num+ 1 asNumCAST( Case whenPrv is NULL ThenCurrELSECurr+PrvEND as BIGINT) asCurrCAST(Curr as BIGINT) asPRV fromT CurrWHERE CAST( Case whenPrv is NULL ThenCurr+ 1 ELSECurr+PrvEND as BIGINT) CAST(POWER(2, -) as BIGINT)* CAST(POWER(2,
Based on the CC150 solution and introduction to Java Programming Summary:There are two ways of using recursion and iterationThe code provided by CC150 is relatively concise, but some details need to be analyzed.Now run the code directly, enter the value of n (where number is substituted to avoid confusion with N in the method), and you can derive Fibonacci numbers.The code is as follows:/*CC150 8.1 Write a method to generate the nth
The Matrix Solution of the Fibonacci series (implemented in java) and the Fibonacci Matrix
The binary method is used.
Import java. util. returns;/*** returns the Fibonacci sequence
Test instructions: Ask if there is a number of white edges in the spanning tree that match the Fibonacci number.Idea: white edge black edge of each priority to find the minimum spanning tree, and statistical white edge in two cases of the number, and finally judge this interval can be. Be careful not to connect at first.1#include 2#include 3#include string.h>4#include 5 #defineLL Long Long6 using namespacestd;7 intt,n,m;8 inttot;9 intf[100010];Ten str
Fibonacci Series: 0, 1, 1, 2, 3, 5, 8, 13 .....His rule is that the first item is 0, the second item is 1, and the third item starts with the sum of the first two.> Recursive implementationSee this rule, the first thought of course is recursive algorithm to achieve, so wrote the following paragraph: Public classRecursionforfibonaccisequence { Public Static voidMain (string[] args) {System.out.println (recursion (10)); } Public Static DoubleRec
/** * Title: * There are a pair of rabbits, from the 3rd month after birth, each month has a pair of rabbits, the rabbit long to the third month after the birth of a pair of rabbits each month. * If the rabbit is not dead, ask after month months, how many rabbits total? */public class Fibonacci {//month static Integer month = 3;//NOTE: month > 0public static void Main (string[] args) {Integer pair = f (month); System.out.println ("A: after" + month +
is equal to the first two months the sum of the large rabbit logarithm. If the N-month large rabbit logarithm is expressed in un, there isUN = un-1 + un-2, n >2 each month the number of large rabbits in the series is: 1,1,2,3,5,8,13,21,34,55,89,144, /c5> this sequence is called the Fibonacci sequence. Recursive method:Using the formula F[n]=f[n-1]+f[n-2], recursive calculation in turn, the recursive end condition is f[1]=1,f[2]=1.code
First, a solution using addition is written in the header file whichfibonaccinumber.h . There is no verification that the input number is less than 0.#ifndef whichfibonaccinumber_h_#define whichfibonaccinumber_h_typedef unsigned long long uint64;//abbreviated unsigned long long , because it is 64 bits, writing UInt64 (meaning: Unsigned int 64 bit)//max = = 18446744073709551615, try to ensure that no overflow. Another: the "General formula" solution needs to open square. UInt64 whichfibonaccinumb
The python iterator implements the Fibonacci evaluate and the python Fibonacci evaluate
The Fibonacci sequence, also known as the Golden series, is also known as the rabbit Series: F (0) = 0, F (1) = 1, F (n) = F (n-1) + F (n-2) (n ≥ 2, n *). For example, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,144,233,377,610,987,159, 28657,463 ........ this series starts from 3rd
One: Recursive implementation
Using the formula F[n]=f[n-1]+f[n-2], recursive calculation in turn, the recursive end condition is f[1]=1,f[2]=1.
Two: Array implementation
Spatial complexity and time complexity are all 0 (n), which is more efficient and faster than recursion.
Three:vectorTime complexity is 0 (n), time complexity is 0 (1), is not aware of vector efficiency is not high, of course, Vector has its own properties will occupy resources.
Four:queueOf course the queue is more suitable th
Approximate test instructions: Enter two nonnegative integers, a, B, and positive integer n. Calculates f (a^b)%n. Among them F[0]=f[1]=1, F[i+2]=f[i+1]+f[i]. That is to calculate the large Fibonacci number and then take the modulus.First saw the big Fibonacci number, think of the matrix fast power, output wait a few seconds before output, will definitely time out. Because all calculations are to be modulo,
Fibonaccitime limit: 1000/1000 MS (Java/others) memory limit: 32768/32768 K (Java/Others)
Total submission (s): 3569 accepted submission (s): 1627
Problem description is coming in 2007. After one year of practice in 2006, zouyu, a mathematical prodigy, finally ranked 0 to 100000000 In the Fibonacci series.
(F [0] = 0, F [1] = 1; F [I] = f [I-1] + F [I-2] (I> = 2 )) all the values are backed up.
Next, codestar decided to test him, so every time he a
The beauty of programming: 2.9 Fibonacci series, 2.9 Fibonacci
The Fibonacci series is a classic example of recursion when we are learning the C language. Of course, there will also be an example of the tower of legends.
This problem is defined as follows:
0 (x
F (x) = 1 (x = 1)
F (x-1) + f (x-2) (x> 1)
After seeing this recursive formula, we can easily write th
10236-the Fibonacci Primes
Time limit:3.000 seconds
Http://uva.onlinejudge.org/index.php?option=com_onlinejudgeItemid=8category=24page=show_problem problem=1177
Note that the description of this topic is different from the description of Fibonacci prime on Wikipedia.
The above-highlighted text shows that Fibonacci Prime can be screened with a similar number
Luogp1962 Fibonacci series, P1962 Fibonacci SeriesBackground
As we all know, the Fibonacci series is a series that meets the following characteristics:
• F (1) = 1
• F (2) = 1
• F (n) = f (n-1) + f (n-2) (n ≥ 2 and n is an integer)Description
Find the value of f (n) mod 1000000007.Input/Output Format
Input Format:
· Row 1st: an integer n
Output Format:
Row 3:
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.