DCP-303: Fibonacci Divisor Back to All Problems

Medium Math > Number Theory

Can you find the **nth Fibonacci number**? So easy ! Isn't it ? But can you find the number of Fibonacci numbers which is divisible by **nth** Fibonacci number ?<br> Some Fibonacci numbers from beginning are : 1,1,2,3,5,8,13.... Input: ------ Input starts with an integer T (**1<=T<=200000**), denoting the number of test cases. Each case contains two integers **n** and **k** (**3 <= n <=200000 and 3<=k<=200000**) . You have to find how many Fibonacci numbers (less than or equal to **kth** Fibonacci numbers) are divisible by nth fibonacci numbers. If n=4 and k=7 then the 4th fibonacci number is 3 and there is only 1 fibonacci number less than or equal to 7th fibonacci numbers which are divided by 3 and that is 3. So the output should be 1. Output: ------- For every test case print how many fibonacci numbers are there ( less than or equal to kth fibonacci numbers ) which are divisible by nth fibonacci number. Sample Input ------------ 1 4 7 Sample Output ------------- 1

Problem Setter:

Kazi Sohan

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Problem Limits

Language Time Limit (seconds)
C 1.00
C++ 1.00
C++14 1.00
C# 1.00
Go 1.00
Java 1.00
JavaScript 1.00
Objective-C 1.00
Perl 1.00
PHP 1.00
Python 1.00
Python3 1.00
Ruby 1.00
VB.Net 1.00

Problem Stats




# User Language Timing
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02 Robbinb1993 Cpp14 0.02s
03 Saimum_140128 Cpp 0.05s
04 mhiceiuk Cpp 0.05s
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11 xb_saykat Cpp 0.06s
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18 tlcakash Cpp 0.06s
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23 Bruteforcekid Cpp 0.06s
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27 wajiul Cpp 0.33s
28 tariqiitju Cpp 0.33s
29 Shamim_A Cpp 0.35s
30 Silent_Warrior Cpp 0.35s
31 nurshuvo51 Cpp 0.35s
32 onucsecu Cpp 0.36s
33 kzvd4729 Cpp 0.37s
34 Ansarul_14 Cpp 0.38s

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