SP8001 FIBOSUM - Fibonacci Sum

Description

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.

Input Format

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.

Output Format

For each test case you have to output a single line containing the answer for the task.