# Chef and Proportion Codechef Solution

Chef and Proportion Codechef Solution: Chef recently learned about ratios and proportions. He wrote some positive integers a, b, c, d on a paper. Chef wants to know whether he can shuffle these numbers so as to make some proportion? Formally, four numbers x, y, z, w are said to make a proportion if ratio of x : y is same as that of z : w.

### Input

Only line of the input contains four space separated positive integers – a, b, c, d.

### Output

Print “Possible” if it is possible to shuffle a, b, c, d to make proportion, otherwise “Impossible” (without quotes).

### Constraints

• 1 ≤ a, b, c, d ≤ 1000

### Sample Input 1

```1 2 4 2
```

### Sample Output 1

```Possible
```

### Explanation

By swapping 4 and the second 2, we get 1 2 2 4. Note that 1 2 2 4 make proportion as 1 : 2 = 2 : 4. Hence answer is “Possible”

## Chef and Proportion  – CodeChef Solution in JAVA

```import java.util.*;
import java.lang.*;
import java.io.*;
/* Name of the class has to be "Main" only if the class is public. */
class Codechef
{
public static void main (String[] args) throws java.lang.Exception
{
try
{
Scanner sc = new Scanner(System.in);
int []a=new int;
for(int i=0;i<4;i++){
a[i]=sc.nextInt();
}
Arrays.sort(a);
if(a*a==a*a)
System.out.println("Possible");
else
System.out.println("Impossible");
}
catch(Exception e)
{
return;
}
}
}
```

## Chef and Proportion   – CodeChef Solution in CPP

```#include <iostream>
#include<bits/stdc++.h>
using namespace std;
void FastIO()
{
ios_base::sync_with_stdio(false);  cin.tie(NULL); cout.tie(NULL);
}
int main() {
// your code goes here
FastIO;
int a ,b ,c ,d ;
cin >> a >> b >> c >> d;
bool flag = (a*b==c*d || a*c==b*d || a*d==b*c );
if(flag)  cout <<"Possible"<<endl;
else      cout <<"Impossible" <<endl;
return 0;
}
```

## Chef and Proportion  -CodeChef Solution in Python

```from sys import stdin, stdout
rl = lambda : stdin.readline()
wl = lambda s: stdout.write(s + "\n")
a, b, c, d = map(int, rl().split())
if (a / b == c / d or
b / a == c / d or
a / c == b / d or
c / a == b / d):
wl("Possible")
else:
wl("Impossible")```

Disclaimer: The above Problem(Chef and Proportion ) is generated by CodeChef but the solution is provided by  Chase2learn.This tutorial is only for Educational and Learning purpose.