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sum34

Given n, you have to find out the sum of the digits of the number of numbers with length n which are formed using only digits 3 and 4.

Example

  • For n = 4, the output should be sum34(n) = 7.
    Desired numbers with length 4 are: 3333, 3334, 3343, 3433, 4333, 3344, 3434, 4334, 4343, 4433, 3443, 3444, 4344, 4434, 4443, 4444. So, there are 16 desired numbers, and the answer is 1 + 6 = 7.

Input/Output:

  • [execution time limit] 2 seconds 

  • [input] integer n

    Guaranteed constraints:
    1 ≤ n ≤ 5 · 104.

  • [output] integer

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