Monday, 27 April 2015

                                                         . Hexadecimal's Numbers


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.
Sample test(s)
input
10
output
2
Note
For n = 10 the answer includes numbers 1 and 10.
#####################EDITORIAL#########################################
INITIALLY  PUSH 1 IN THE STACK AND NOW TRY TO ADD 10*TOP OF STACK +1 IF IT IS LESS THAN GIVEN NO  AND ALSO TRY TO PUSH 10*TOP OF STACK IN STACK IF IT IS LESS THAN GIVEN NO   NO TOTAL NO OF PUSH DONE IN THE STACK IS THE ANSWER .....
##################################CODE####################################
#include<iostream>
using namespace std;
#include<bits/stdc++.h>
int find(long long int n)
 {
    stack<long long int > sta;
      sta.push(1);
      int count =1;
         while(!sta.empty())
          {
           long long int val=sta.top();
             sta.pop();
             if(val*10+1<=n)
              {
              count++;
              sta.push(val*10+1);
               
              }
              if(val*10<=n)
               {
                  count++;
              sta.push(val*10);
               }
          }
          return count;
          
 }
int  main()
 {
  long  long int n;
   cin>>n;
    int ans=find(n);
    cout<<ans<<endl;
    return 0;
 }

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