import java.util.*;

/**
  * Triangle problem - in OO style
  * @author Paul Ammann
  */

public final class Triangle {

    int         x; int         y;  int         z;  // Client triangle sides
    Integer small; Integer medium; Integer large;  // Ordered triangle sides

    public Triangle (int x, int y, int z) {
       this.x = x; this.y = y; this.z = z;
       orderSides();
    }

    private void orderSides() {
       List<Integer> list = new ArrayList<Integer>();
       list.add(x); list.add(y); list.add(z);
       Collections.sort(list);
       small   = list.get(0);
       medium  = list.get(1);
       large   = list.get(2);
    }

    public boolean isValid() {
       return (small > 0) && (small + medium > large);
    }

    public boolean isScalene() {
       if (!isValid()) return false;
       if (small.equals(medium) || medium.equals(large)) return false;
       return true;
    }

    public boolean isIsosceles() {
       if (!isValid()) return false;
       if (small.equals(medium)) return (!small.equals(large));
       if (medium.equals(large)) return (!small.equals(large));
       return false;
    }

    public boolean isEquilateral() {
       if (!isValid()) return false;
       if (small.equals(medium) && medium.equals(large)) return true;
       return false;
    }

    @Override public String toString() { 
       return "Triangle: " + x + ", " + y + ", " + z; 
    }

    @Override public boolean equals(Object obj) { 
       if (!(obj instanceof Triangle)) return false;
       Triangle t = (Triangle) obj;
       return (small. equals(t.small ) &&
               medium.equals(t.medium) &&
               large. equals(t.large ));
    }

    @Override public int hashCode() { 
      return small.hashCode() + medium.hashCode() + large.hashCode();
    }
}