## 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.

### 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 non-negative 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 19Output:4 10 10857

### Constraints

- T <= 1000
- 0 <= N <= M <= 10
^{9}

Added by: | David Gómez |

Date: | 2010-12-04 |

Time limit: | 1s |

Source limit: | 50000B |

Memory limit: | 1536MB |

Cluster: | Cube (Intel G860) |

Languages: | All except: ASM64 |

Resource: | My Own |