How many Fibs? 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 00 Sample Output 5 4