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Problem 1054. -- How many Fibs?

## How many Fibs?

Time Limit: 1 Sec  Memory Limit: 64 MB
Submit: 21  Solved: 5
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## 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 f i with a<=fi<=b.

## Sample Input

```10 100
1234567890 9876543210
0 0

```

```5
4```

## Source

Ulm Local 2000

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