
Asked in DE Shaw
MegaPrime Numbers Problem Statement
Given two integers Left
and Right
, determine the count of 'megaprime' numbers within the inclusive range from 'Left' to 'Right'. A 'megaprime' number is a prime number where each digit is also a prime number.
Example:
Input:
Left = 23, Right = 37
Output:
2
Explanation:
The prime numbers between 23 and 37 are 23, 29, 31, and 37. Among these:
- 23 is a 'megaprime' because 2 and 3 are prime.
- 29 is not a 'megaprime' because 9 is not prime.
- 31 is not a 'megaprime' because 1 is not prime.
- 37 is a 'megaprime' because 3 and 7 are prime.
Constraints:
1 ≤ T ≤ 100
1 ≤ Left ≤ Right ≤ 8000
- Time Limit: 1 second
Note:
You are not required to print anything; it has been taken care of. Your task is to implement the function and return the count of 'megaprime' numbers for each test case.
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