# The question was as follow :

**Square Free Number**

Problem Description

In the theory of numbers, square free numbers have a special place. A square free number is one that is not divisible by a perfect square (other than 1). Thus 72 is divisible by 36 (a perfect square), and is not a square free number, but 70 has factors 1, 2, 5, 7, 10, 14, 35 and 70. As none of these are perfect squares (other than 1), 70 is a square free number.

For some algorithms, it is important to find out the square free numbers that divide a number. Note that 1 is not considered a square free number.

In this problem, you are asked to write a program to find the number of square free numbers that divide a given number.

Constraints

N < 10^9

Input Format

The only line of the input is a single integer N which is divisible by no prime number larger than 19

Output

One line containing an integer that gives the number of square free numbers (not including 1)

Explanation

Example 1

Input

20

Output

3

**Explanation**

N=20

If we list the numbers that divide 20, they are

1, 2, 4, 5, 10, 20

1 is not a square free number, 4 is a perfect square, and 20 is divisible by 4, a perfect square. 2 and 5, being prime, are square free, and 10 is divisible by 1,2,5 and 10, none of which are perfect squares. Hence the square free numbers that divide 20 are 2, 5, 10. Hence the result is 3.

Example 2

Input

72

Output

3

**Explanation**

N=72. The numbers that divide 72 are

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

1 is not considered square free. 4, 9 and 36 are perfect squares, and 8,12,18,24 and 72 are divisible by one of the. Hence only 2, 3 and 6 are square free. (It is easily seen that none of them are divisible by a perfect square). The result is 3

# And I coded As Follow :

## Demo.java

```
import java.lang.Math;
import java.util.*;
import java.io.*;
public class Demo{
static long n=0;
static int r=0;
static ArrayList<Integer> list = new ArrayList<Integer>();
public static void setN(long value){
n=value;
}
public static long getResult(){
return r;
}
public static boolean isDiv(){
boolean res=false;
outer:for( int i=20; i<n; i++){
inner:for (int j=2;j<i;j++){
if(i%j==0){
continue outer;
}
}
if(n%i==0){
res = true;
break outer;
}
}
return res;
}
public static void checkRes(){
for(int i=2; i<n; i++){
if(n%i==0){
if((Math.sqrt(i)-(int)Math.sqrt(i))==0.0){
list.add(i);
}else{
boolean ch=false;
for(int k:list){
if(i%k==0){
ch=true;
}
}
if(ch==false){
r++;
}
}
}
}
}
public static void main(String []args)throws IOException{
InputStreamReader rr=new InputStreamReader(System.in);
BufferedReader in=new BufferedReader(rr);
String val=in.readLine();
long value = Long.parseLong(val);
setN(value);
if(isDiv()==true){
r=0;
}else{
checkRes();
}
System.out.println(getResult());
}
}
```

Still The Error persist & that is TLE (Time Limit Exceded). Anybody please suggest, whats wrong with the code

***.