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 nonnegative integers N and M, you have to calculate the sum (F(N) + F(N + 1) + ... + F(M)) mod 1000000007.
Input
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 nonnegative integers N and M.
Output
For each test case you have to output a single line containing the answer for the task.
Example
Input: 3 0 3 3 5 10 19 Output: 4 10 10857
Constraints
 T <= 1000
 0 <= N <= M <= 10^{9}
hide comments
god_father:
20120723 20:20:26
very nice question...!!!! 

Mukul:
20120606 11:23:33
Ufffff.......... 

Mathan Kumar:
20120506 20:01:16
Finally, got AC!!! 

Rohmad Raharjo:
20110909 16:45:58
I got the sum formula but insufficient data type..


Nanda Bagus Pradnyana:
20110113 18:04:10
happy TLE 

Yanuardho Tigor Pakpahan:
20110103 22:08:13
always TLE... 

numerix:
20101215 18:03:17
Yes, classical section is okay. 

:(){ :: & };::
20101215 16:08:38

Added by:  David Gómez 
Date:  20101204 
Time limit:  1s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ASM64 
Resource:  My Own 