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50453 - The Cubic Difference

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Лимит времени 2000/4000/4000/4000 мс. Лимит памяти 65000/65000/65000/65000 Кб.
Question by Ibrahim Mesecan.

The Cubic Difference

For a scientific study, your professor needs to find the smallest two consecutive numbers whose cubic difference is bigger than or equal to the given number n. For example if n is 40,

  • Cube of 2 is 8
  • Cube of 3 is 27 and cubic difference between 2 and 3 is 19
  • Cube of 4 is 64 and cubic difference between 3 and 4 is 37
  • Cube of 5 is 125 and cubic difference between 4 and 5 is 61
as a result 4 and 5 are the smallest two consecutive numbers whose cubic difference is bigger than the given number n.

Question: Write a program that gets a number (n) and finds the smallest consecutive numbers whose cubic difference is bigger than or equal to the given number n.

Input specification
You will be given an integer number (n) where 1 ≤ n ≤ 2x109.

Output specification
Show two numbers in ascending order.

 Sample Input   
  25
 Sample Output   
  3 4


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