   Online JudgeProblem SetAuthorsOnline ContestsUser
Web Board
F.A.Qs
Statistical Charts
Problems
Submit Problem
Online Status
Prob.ID:
Register
Authors ranklist
Current Contest
Past Contests
Scheduled Contests
Award Contest
Register
Language:
How many Fibs?
 Time Limit: 1000MS Memory Limit: 65536K Total Submissions: 12783 Accepted: 4538

Description

Recall the definition of the Fibonacci numbers:
```f1 := 1
f2 := 2
fn := fn-1 + fn-2     (n>=3) ```

Given two numbers a and b, calculate how many Fibonacci numbers are in the range [a,b].

Input

The input contains several test cases. Each test case consists of two non-negative integer numbers a and b. Input is terminated by a=b=0. Otherwise, a<=b<=10100. The numbers a and b are given with no superfluous leading zeros.

Output

For each test case output on a single line the number of Fibonacci numbers fi with a<=fi<=b.

Sample Input

```10 100
1234567890 9876543210
0 0
```

Sample Output

```5
4
```

Source

[Submit]   [Go Back]   [Status]   [Discuss] Home Page Go Back To top