Sort 3 Integers without using if condition OR use only Max() function.

Objective: – Given three integers, sort them without using if condition.

Appraoch:

Say 3 integers are, a, b, c.
Find the maximum of a, b, c using Max() function.
multiply all integers by -1. Again find Minimum of -a, -b, -c using Max() function.
Add the Max and Min from above steps and subtract it from (a+b+c). It will give you middle element.

Complete Code:

	public class Sorting3Integers {

	// sort 3 given integers, sort them with out using if conditions
	public void sort(int x, int y, int z){
	int max,mid,min;
	max = Math.max(x,Math.max(y, z));
	min = –Math.max(–x,Math.max(–y, –z));
	mid = (x+y+z)–(max+min);
	System.out.println("Sorted order " + min + " " + mid + " " + max);
	}
	public static void main(String[] args) {
	int x = 4;
	int y = 1;
	int z = 9;
	Sorting3Integers s = new Sorting3Integers();
	s.sort(x, y, z);
	}

	}

Output:

Sorted order 1 4 9