Sunday, 20 September 2015

***Super Numbers Solved

Super Numbers 
Solved


Euler's phi function for a positive integer N is usually denoted as φ(N) and defined as the number of positive integers less than or equal to N that are coprime with N. Let's call a positive integer N a super number if Ncan be divided by φ(N) without a remainder. 
e.g. 2 is a super number (since 2 mod φ(2) = 0), while 3 is not (since 3 mod φ(3) = 1).
You are given two positive integers L and R. Your task is to find count of super numbers in the range [L, R].

Input

The first line of the input contains an integer T denoting the number of test cases. The description of T test cases follows.
Each test case is described by a single line containing two positive integers L and R.

Output

For each test case, output a single line containing one integer: the number of super numbers in the range.

Constraints

  • 1 ≤ T ≤ 1000
  • 1 ≤ L ≤ R ≤ 1018

Example

Input:
3
2 3
90 95
12 21

Output:
1
0
3

Explanation

In the first example, 2 is a super number while 3 is not (as explained in the statement). So, the number of super numbers in the range [2, 3] will be equal to 1.

-----------------------------------------------------------------------------------------editorial-----------------------------------------------------------

 all no b/w L to R which are in the form of 2^a *3^b are give n%phi(n)==0
where a>=1 and b>=0

-------------------------------------------------------------------------------code---------------------------------------------------------------------------
#include<iostream>
#include<bits/stdc++.h>
using namespace std;
 typedef unsigned long long int lli;
 typedef long int li;
#define pp pair<pair<lli,int>,int> >
 #define ff first
 #define ss second
 int dx[]={1,-1,0,0};
 int dy[]={0,0,-1,1};
 #define mp make_pair
 #define pb push
lli two[100];
lli three[1000];
lli calc(int i,int j)
 {
 return pow(2,i)*pow(3,j);
 }
int  main()
 {
  int t;
  cin>>t;
   while(t--)
    {
     lli l,r;
      cin>>l>>r;
      lli c=l;
       two[0]=1;
       three[0]=1;
        for(int i=1;i<=59;i++)
         {
          two[i]=two[i-1]*2;
          three[i]=three[i-1]*3;
 }
      
      
       lli cc=0;
        if(l==1) cc++;
        for(int i=1;i<=59;i++)
         {
          for(int j=0;j<=37;j++)
           {
             lli fii=calc(i,j);
             if(fii>=l && fii<=r) cc++;
 
}
 }
 
  cout<<cc<<endl;
}
  return 0;
 }

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