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The python implementation of the Fibonacci sequence (Fibonacci)

First: Using a For loopThe use of the For loop, does not involve functions, but this method for my small white is a good understanding of the function of a more abstract ...1 >>> fibs = [0,1]2 for in range (8):3 Fibs.append (Fibs[-2] + fibs[-1])45 >>> fibs6 [0, 1, 1, 2 , 3, 5, 8, 13, 21, 34]Or, enter a dynamic length:1fibs = [0,1]2num = input ('howmany Fibonacci numbers does you want? ' )3 for in range (Num-2):4 fibs.append (Fibs[-2] + Fi

Uva-10229-modular Fibonacci (Matrix fast Power + Fibonacci)

Topic Transfer: UVA-10229Idea: The simple matrix quickly powers the Fibonacci sequence, then notice that the intermediate result can explode int, because 2^19 has more than 500,000AC Code:#include Uva-10229-modular Fibonacci (Matrix fast Power + Fibonacci)

The sum of the First n digits of Fibonacci and the n digits of Fibonacci

The sum of the First n digits of Fibonacci and the n digits of Fibonacci Public class Fei_bo_na_qi {Public static void main (String [] args) {// main method, program entryInt I = 10; // declare an int type variable I, and assign a value of 10Int a = 0; // declare an int data type variableFor (int j = I; j> = 1; -- j) {// for Loop: j = I = 10, j> = 1A + = m1 (j); // call the m1 method and assign the value of

Uva10299-modular Fibonacci (Fibonacci series + matrix fast power)

Question Link Give N and M, and find F (n) % m. f (x) is the Fibonacci sequence. Idea: Because N is big, it is very likely that it will use the formula to calculate it, so we can use the Matrix to quickly solve the power. | (1, 1), (1, 0) | * | f (n-1), F (n-2) | = | f (N), F (n-1) |, so f (N) equivalent to | F (1), F (0) | multiplied by N-1 | (1, 1), (1, 0) |. Code: #include Uva10299-modular Fibonacci

Poj 3070 Fibonacci (the nth entry of the Fibonacci series in the matrix Rapid power)

The meaning is to use matrix multiplication to find the last four digits of the nth of the Fibonacci series. If the last four digits are all 0, the output is 0. Otherwise Remove the leading 0 from the last four digits of the output... ... Yes... ... Output FN % 10000. The question is so clear .. I am still trying to find the last four digits of % and/and determine whether all the values are 0 and whether the output values are 0. Remove the leading 0.

Logu P1306 Fibonacci common count, p1306 Fibonacci

Logu P1306 Fibonacci common count, p1306 FibonacciDescription You should be familiar with the series of Fibonacci:, 13 ~~~ But now there is a very simple question: what is the maximum number of public appointments between the n and m items?Input/Output Format Input Format: Two positive integers n and m. (N, m Note: The data is large. Output Format: The maximum number of common Fn and Fm. Since reading b

Fibonacci sequence Non-recursive algorithm (Fibonacci)

Package C4;public class Fibtest {public static void main (String []args) {Long begin = System.currenttimemillis (); System.out.println (FIB); Long end = System.currenttimemillis (); System.out.println (End-begin);} public static long fib (int n) {if (nResult isS1:1 s2:2s1:2 s2:3s1:3 s2:5s1:5 s2:8s1:8 s2:13s1:13 s2:21s1:21 s2:34551   Fibonacci sequence Non-recursive algorithm (Fibonacci)

Js Fibonacci series implementation, js Fibonacci Series

Js Fibonacci series implementation, js Fibonacci Series1. Recursion Function fib (n) {if (n = 1 | n = 2) {return 1;} return fbnq (n-1) + fbnq (n-2 );} fbnq (10); // 55 The time complexity is O (2 ^ n), and the space complexity is O (n) 2. Non-recursion Function fb (n) {var res = [1, 1]; if (n = 1 | n = 2) {return 1 ;}for (var I = 2; I The time complexity is O (n), and the space complexity is O (

Calculate the sum of the First n items of the Fibonacci fractional sequence (N is a constant, and the Fibonacci fractional sequence is 2/1, 3/2, 5/3, 8/5 ,...)

Calculate the sum of the First n items of the Fibonacci fractional sequence (N is a constant, and the Fibonacci fractional sequence is 2/1, 3/2, 5/3, 8/5 ,...). # Include Stdio. h > # Include Conio. h > Void Main (){ Int I, N; Float F1 = 1 , F2 = 2 , F, Sum = 0 ;Scanf ( " % D " , N ); For (I = 0 ; I N; I ++ ){Sum + = F2 /

Seven ways to realize the Fibonacci of Fibonacci (_c language)

One: Recursive implementationUsing the formula F[n]=f[n-1]+f[n-2], recursion is computed sequentially, and the recursive end condition is f[1]=1,f[2]=1. Two: Array implementationThe space complexity and time complexity are all 0 (n), and the efficiency is generally faster than that of recursion. three:vectorThe time complexity is 0 (n), the time complexity is 0 (1), the vector is not known to be highly efficient, of course the vector has its own attributes will occupy resources. Four:queueOf

A summary of solving the problem of Fibonacci Fibonacci sequence by C language _c language

One: Recursive implementationusing the formula F[n]=f[n-1]+f[n-2], recursion is computed sequentially, and the recursive end condition is f[1]=1,f[2]=1. Two: Array implementationthe space complexity and time complexity are all 0 (n), and the efficiency is generally faster than that of recursion. Three:vectorthe time complexity is 0 (n), the time complexity is 0 (1), the vector is not known to be highly efficient, of course the vector has its own attributes will occupy resources. Four:queueof

Hdu 1250 Hat's Fibonacci (high-precision addition + indentation + Fibonacci number)

Calculate the nth entry of a Fibonacci series. The upper limit of n is 10000. Solution: Because the upper limit of this question is 10000, indentation is required for high precision. # Include

Sicily 1863. Elegant Fibonacci numbers again (Fibonacci + matrix power)

Question: Fibonacci series, F [0] = 0, F [1] = 1, F [N] = f [N-2] + F [n-1], n> 1 Given N (0 Solution: N is too large, so we cannot use the cyclic recursive Calculation of O (n ). Conclusion: For matrices | 1 1 |, and matrices | FnFn-1 |, after the two are multiplied to obtain a new matrix | Fn + 1FN|, FN indicates the nth Number of fiber ACCI | 1 0 || Fn-1 Fn-2 || FnFn-1 Therefore, we can use the rapid power modulo + matrix multiplication of O (l

Doing Fibonacci (Fibonacci) operations in SQL Server

--Using SQL Server to calculate Fibonacci lawsDECLARE @number intDECLARE @A intDECLARE @B intDECLARE @c intSet @a=1Set @b=2Set @Number =3Select @[email Protected][email protected]while (@Number BeginSet @[email Protected][email protected]if (@ @ERROR Goto ErrorHandlerPrint N ' +convert (varchar), @number) +n ' number is ' +convert (varchar), @c)Set @[email protected]Set @[email protected]Set @[email protected]+1EndErrorHandler:Print N ' +convert (varc

[Python learning] Fibonacci sequence Fibonacci Sequence

A simple Fibonacci sequence, with the following code:# Filename: fibonaci.py# author by: stephendef fib(n): #定义一个函数叫 fib() if n [Python learning] Fibonacci sequence Fibonacci Sequence

UVa 10229 Modular Fibonacci: Matrix fast Power seeking Fibonacci

10229-modular Fibonacci Time limit:3.000 seconds Http://uva.onlinejudge.org/index.php?option=com_onlinejudgeItemid=8category=115page=show_ problemproblem=1170 The Fibonacci numbers (0, 1, 1, 2, 3, 5, 8, ...) are defined by the recurrence: F0 = 0 F1 = 1 Fi = Fi-1 + Fi-2 for i>1 Write a program which calculates Mn = Fn mod 2m for given pair of N and M. 0 Input and Output Input consists of several lines

1168 Fibonacci Series

Description Known Fibonacci Series F1 = 1, F2 = 1, F3 = 2, F4 = 3, F5 = 5, ... FX = Fx-1 + Fx-2 Returns the m entry with K zeros at the end of each item in the Fibonacci sequence. For example, if one of the 1st items with 0 at the end is F15 = 610,

Data structure (ix) Order lookup for lookup tables, binary lookups, interpolation lookups, and Fibonacci lookups

Today this blog to talk about several common search algorithms, of course, this blog is only involved in some of the search algorithm, the next few blog will be introduced about the search related content. This blog mainly describes the lookup table in order to find, binary find, interpolation lookup and Fibonacci find. This blog will give the corresponding search algorithm and related code, and give the corresponding test cases. Of course, this blog

ACM/ICPC algorithm Training Math is very important-Fibonacci Lucas series (Hnnuoj 11589)

   See this title, looks very tall on the appearance = =, in fact, this is also familiar with the things, first of all, the Fibonacci series of Popular Science. Fibonacci sequence Also known as the Golden section of the series , refers to such a series: 0, 1, 1, 2, 3, 5, 8, 13, 21, 、......mathematically , the Fibonacci sequence is defined as a

C Language: Write a function, enter N, find the nth of Fibonacci sequence (5 methods, layer optimization)

Write a function, enter N, ask Fibonacci Sequence the nth item. Fibonacci series : 1,1,2,3,5,8 ... Solution: Method 1: from Fibonacci Sequence function-defined angle programming#include int Fibonacci (int n){int num1=1, num2=1, num3=0,i;if (n {printf ("%d of the Fibonacci

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