1. Problem 1:

   Given a positive integer, find the number of digits in the factorial of the number.
   
   

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   Input Specification
   Input will contain a single positive integer N input from keyboard, lesser than 1000000.
   
   

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   Output Specification
   Output must be the number of digits in the factorial of the given number.
   
   

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   Sample Input and Output
   Input: 5
   Output:2
   Input: 52
   Output: 68
   

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2. Problem 2:

   Find the number of zeroes at the end of factorial of a number.
   
   

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   Input Specification
   Input will contain a single positive integer N input from keyboard, lesser than 10^9.
   
   

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   Output Specification
   Output must be the number of zeroes at the end of the factorial of the given number.
   
   

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   Sample Input and Output
   Input: 5
   Output:1
   Input: 25
   Output: 6