Kaprekars Constant

Kaprekar's constant

The number 6174 is known as Kaprekar's constant[1][2][3] after the Indian mathematician D. R. Kaprekar. This number is renowned for the following rule:

Take any four-digit number, using at least two different digits (leading zeros are allowed). Arrange the digits in descending and then in ascending order to get two four-digit numbers, adding leading zeros if necessary. Subtract the smaller number from the bigger number. Go back to step 2 and repeat.

Video: https://www.youtube.com/watch?v=xtyNuOikdE4

z^3 Solution

1001..1010@kc;
function kc(x)
{
	k=((x⁋)#).sort();
	kp:=((k⋱)⚯*1 -(k⋰)⚯);
	_y=k;
	var r=-1;
	var rt=-1;	
	var rs=[];	
	try
	{
		(1..7)@(
			function(i)
			{
				var t=kp(_y)
				if(t==6174 && r==-1)
				{
					r=i;
					rt=t;
					rs.push(t);
					throw("EXIT")
				}
				else
				{
					rs.push(t)
				}
				_y=((t⁋)#);
				//⊫("AFTER",i,_y);
			}
		);
	}
	catch(err)
	{
	}
	⊫([x,r,rt,rs])
	return([x,r,_y,rs])

}