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Yet another impossible problem

I am telling you, this one’s really tough. Or is it? Sometimes it helps to remove the nils from the data ###Input: An integer $N$ ###Output: An integer ###Constraints $ 1<=N<= 10^{10} $ ###Sample Input 1: 11 ###Sample Output 1: 7 ###Sample Input 2: 170 ###Sample Output2: 15

HINT LADDERno hints yet
L1 Observation
L2 Technique
L3 Approach
L4 Pseudo-code
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L5 Full solution
L5 unlocks only if you insist twice
solution.cppC++17

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