Product of two digit numbers
Easy Accuracy: 27.09% Submissions: 48 Points: 2

Given an even digit number N, partition the number into multiple numbers of two digits. For ex: if he chooses 1345 then he parts the number into 13 and 45. Calculate the product of these two digit numbers modulo (109+7).

 

Example 1:

Input:
N = 2222
Output:
484
Explanation:
2222 is divided into 22 and 22.
So, the result is 484.

Example 2:

Input:
N = 10
Output:
10
Explanation:
10 can be divided into only 10
so the result is 10. 

 

Your Task:
You don't need to read input or print anything. Your task is to complete the function prodTwoDigit() which takes an Integer N as input and returns the product of two digit numbers when N is divided.

 

Expected Time Complexity: O(log100N)
Expected Auxiliary Space: O(1)

 

Constraints:
2 <= N <= 1018

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Product of two digit numbers

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