FIBOSUM - Fibonacci Sum
The fibonacci sequence is defined by the following relation:
- F(0) = 0
- F(1) = 1
- F(N) = F(N - 1) + F(N - 2), N >= 2
Your task is very simple. Given two non-negative integers N and M, you have to calculate the sum (F(N) + F(N + 1) + ... + F(M)) mod 1000000007.
The first line contains an integer T (the number of test cases). Then, T lines follow. Each test case consists of a single line with two non-negative integers N and M.
For each test case you have to output a single line containing the answer for the task.
Input: 3 0 3 3 5 10 19 Output: 4 10 10857
- T <= 1000
- 0 <= N <= M <= 109
Excellent problem. I've learned a lot of things about Fibonacci sequence.
How is 0.00s possible? I can only get 0.01s.
Anubhav Balodhi :
got ac in 3rd try, learnt a lot about fibonacci numbers :D
good question to learn application of Divide and conquer :)
learned something new :D
after that u may try solving this question:
How do you store the fibonacci number?
Nice Question. Learned a lot ! :)
Atul Kumar Verma:
learned a new concept about Fibonacci numbers nice question.