fibonacci

Finding the sum of Fibonacci Numbers

跟風遠走 提交于 2020-07-15 01:48:25
问题 What would be the most efficient way to calculate the sum of Fibonacci numbers from F(n) to F(m) where F(n) and F(m) are nth and mth Fibonacci numbers respectively and 0 =< n <= m <10 9 (with F(0)=0, F(1)=1). For example, if n=0 , m=3 , we need to find F(0)+F(1)+F(2)+F(3) . Just by brute force it will take long time for the range of n and m mentioned. If it can be done via matrix exponentiation then how? 回答1: F(m+2) - F(n+2) - 2 (discussion) Literally, the sum of your upper bound m, minus the

Finding the sum of Fibonacci Numbers

你说的曾经没有我的故事 提交于 2020-07-15 01:48:11
问题 What would be the most efficient way to calculate the sum of Fibonacci numbers from F(n) to F(m) where F(n) and F(m) are nth and mth Fibonacci numbers respectively and 0 =< n <= m <10 9 (with F(0)=0, F(1)=1). For example, if n=0 , m=3 , we need to find F(0)+F(1)+F(2)+F(3) . Just by brute force it will take long time for the range of n and m mentioned. If it can be done via matrix exponentiation then how? 回答1: F(m+2) - F(n+2) - 2 (discussion) Literally, the sum of your upper bound m, minus the

Python: Usage of Variables and their difference (“a, b = 0, 1” VS “a = 0”, “b = 1”) [duplicate]

独自空忆成欢 提交于 2020-06-27 18:14:08
问题 This question already has answers here : Python - Difference between variable value declaration on Fibonacci function (4 answers) Closed 6 years ago . I was looking at the Python Manual and found this snippet for a Fibonacci-Number generator: def fib(n): # write Fibonacci series up to n a, b = 0, 1 while b < n: print(b, end=' ') a, b = b, a+b print() The output is dependent on n and returns a valid Fibonacci sequence. If you remodel this to use the variables "a" and "b" seperately like so:

Python: Usage of Variables and their difference (“a, b = 0, 1” VS “a = 0”, “b = 1”) [duplicate]

北城以北 提交于 2020-06-27 18:10:53
问题 This question already has answers here : Python - Difference between variable value declaration on Fibonacci function (4 answers) Closed 6 years ago . I was looking at the Python Manual and found this snippet for a Fibonacci-Number generator: def fib(n): # write Fibonacci series up to n a, b = 0, 1 while b < n: print(b, end=' ') a, b = b, a+b print() The output is dependent on n and returns a valid Fibonacci sequence. If you remodel this to use the variables "a" and "b" seperately like so:

Finding last digit of sum from m to n Fibonacci numbers. (0 ≤ 𝑚 ≤ 𝑛 ≤ 10^14)

流过昼夜 提交于 2020-05-31 04:01:04
问题 My code is as follow : m, n = map(int, input().split()) # write function "fibtotal" which takes input x and gives accurate fib(x+2)%10 (as sum till fib(x) == fib(x+2) - 1) # using above function get fibtotal(m-1) and fibtotal(n) # subtract fibtotal(m-1) from fibtotal(n) and do mod 10 gives last digit of sum from m to n # take care of handling large input sizes, 0 ≤ 𝑚 ≤ 𝑛 ≤ 10^14 def fibtotal(x): sum = 1 # if both initial conditions fail then loop starts from 2 x= x % 60 # pisano period of 10

How to generate Fibonacci faster [duplicate]

痞子三分冷 提交于 2020-05-24 18:43:10
问题 This question already has answers here : nth fibonacci number in sublinear time (15 answers) Closed 3 years ago . I am a CSE student and preparing myself for programming contest.Now I am working on Fibonacci series. I have a input file of size about some Kilo bytes containing positive integers. Input formate looks like 3 5 6 7 8 0 A zero means the end of file. Output should like 2 5 8 13 21 my code is #include<stdio.h> int fibonacci(int n) { if (n==1 || n==2) return 1; else return fibonacci(n

Trying to Use Recursion to solve Fibonacci (javascript)

随声附和 提交于 2020-05-15 08:05:12
问题 This is the question : Given a positive integer num, return the sum of all odd Fibonacci numbers that are less than or equal to num. The first two numbers in the Fibonacci sequence are 1 and 1. Every additional number in the sequence is the sum of the two previous numbers. The first six numbers of the Fibonacci sequence are 1, 1, 2, 3, 5 and 8. For example, sumFibs(10) should return 10 because all odd Fibonacci numbers less than or equal to 10 are 1, 1, 3, and 5. This is what I tried function