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:
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
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
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
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
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.
Basic all routers on the shell will have a product nameplate, the above will be detailed labeling router login address, login account and password, the purchase of new router friends will often ask small knitting router login address, account number password, in fact, is in the immediate, but we are not good at observation, the following figure, We can see the Fibonacci wireless router's login address is 19
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
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 ,...).
# 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
/
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
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
Use Python to implement the Fibonacci function, pythonfibonacci
The onacci Fibonacci series is simple. It is a recursion. It may be used to learn any programming language.
Recently, I was playing Python. After reading Learning Python and Core Python, I accidentally found a post on the Internet, which is interesting for Python programmers. So I plan to follow the same article. The post used more than 10 meth
Not long ago for everyone to bring a "router how to set up security," the theoretical article, a lot of friends read may feel more abstract, today small set for everyone to bring a combat article, to the Fibonacci wireless router for example, to teach you how to set the security of the Fibonacci router. Through the router account, login address, hidden SSID and open Mac filter, can effectively prevent the
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