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Find the count of numbers that can be formed using digits 3 and 4 only and having length at max N in C++
Given a number N. We have to find the count of such numbers that can be formed using digit 3 and 4. So if N = 6, then the numbers will be 3, 4, 33, 34, 43, 44.
We can solve this problem if we look closely, for single digit number it has 2 numbers 3 and 4, for digit 2, it has 4 numbers 33, 34, 43, 44. So for m digit numbers, it will have 2m values.
Example
#include<iostream> #include<cmath> using namespace std; long long countNumbers(int n) { return (long long)(pow(2, n + 1)) - 2; } int main() { int n = 3; cout << "Number of values: " << countNumbers(n); }
Output
Number of values: 14
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