Hexadecimal's Numbers
Problem Description
"One beautiful July morning a terrible thing happened in Mainframe: a mean virus Megabyte somehow got access to the memory of his not less mean sister Hexadecimal. He loaded there a huge amount of n different natural numbers from 1 to n to obtain total control over her energy.
But his plan failed. The reason for this was very simple: Hexadecimal didn't perceive any information, apart from numbers written in binary format. This means that if a number in a decimal representation contained characters apart from 0 and 1, it was not stored in the memory. Now Megabyte wants to know, how many numbers were loaded successfully.
Input
Input data contains the only number n (1<n<109).
Output
Output the only number answer to the problem.
"
CODING ARENA
#include<stdio.h>
int tot=0;
void getNum(long long num,long long n)
{
if(num>n)
return;
tot++;
num=num*10;
getNum(num+1,n);
getNum(num,n);
}
int main()
{
long long n;
scanf("%lld",&n);
getNum(1,n);
printf("%d",tot);
return 0;
}
Test Case 1
Input (stdin)10
Expected Output
2
Test Case 2
Input (stdin)20
Expected Output
3
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