Problem: The Department of economic development of IT City created a model of city development till year 2100.

To prepare report about growth perspectives it is required to get growth estimates from the model.

To get the growth estimates it is required to solve a quadratic equation. Since the Department of economic development of IT City creates realistic models only, that quadratic equation has a solution, moreover there are exactly two different real roots.

The greater of these roots corresponds to the optimistic scenario, the smaller one corresponds to the pessimistic one. Help to get these estimates, first the optimistic, then the pessimistic one.

Input

The only line of the input contains three integers a, b, c ( - 1000 ≤ a, b, c ≤ 1000) — the coefficients of ax2 + bx + c = 0 equation.

Output

In the first line output the greater of the equation roots, in the second line output the smaller one. Absolute or relative error should not be greater than 10 - 6.

Examples

Input

1 30 200


Output

-10.000000000000000
-20.000000000000000

Solution (in JAVA):

Solution:
import java.util.*;
import java.io.*;
public class Forecast
{

	/************************ SOLUTION STARTS HERE ************************/

	//DONT FORGET TO COMMIT AND PUSH TO GITHUB
	private static boolean greater(double a,double b)
	{
		double div = a / b;
		return (div - 1.0) > epsilon;	
	}
	static final double epsilon = Math.pow(2, -53);
	private static void solve(FastScanner s1, FastWriter out){

		double a = (double)s1.nextInt();
		double b = (double)s1.nextInt();
		double c = (double)s1.nextInt();
		double d = Math.sqrt(Math.pow(b, 2) - (4.0 * a * c));
		double root1 = (-b + d)/(2.0 * a);
		double root2 = (-b - d)/(2.0 * a);
		double max = Math.max(root1, root2);
		double min = Math.min(root1, root2);
		out.println(String.format("%.9f", max));
		out.println(String.format("%.9f", min));

	}

	/************************ SOLUTION ENDS HERE ************************/



	/************************ TEMPLATE STARTS HERE ************************/

	public static void main(String []args) throws IOException {
		FastScanner in  = new FastScanner(System.in);
		FastWriter  out = new FastWriter(System.out);
		solve(in, out);
		in.close();
		out.close();
	}    

	static class FastScanner{
		public BufferedReader reader;
		public StringTokenizer st;
		public FastScanner(InputStream stream){
			reader = new BufferedReader(new InputStreamReader(stream));
			st = null;
		}
		public String next(){
			while(st == null || !st.hasMoreTokens()){
				try{
					String line = reader.readLine();
					if(line == null) return null;
					st = new StringTokenizer(line);
				}catch (Exception e){
					throw (new RuntimeException());
				}
			}
			return st.nextToken();
		}
		public String nextLine(){
			String str = null;
			try {
				str = reader.readLine();
			} catch (IOException e) {
				e.printStackTrace();
			}
			return str;
		}
		public int nextInt(){
			return Integer.parseInt(next());
		}
		public long nextLong(){
			return Long.parseLong(next());
		}
		public double nextDouble(){
			return Double.parseDouble(next());
		}
		int[] nextIntArray(int n) {
			int[] arr = new int[n];
			for (int i = 0; i < n; i++) {
				arr[i] = nextInt();
			}
			return arr;
		}

		long[] nextLongArray(int n) {
			long[] arr = new long[n];
			for (int i = 0; i < n; i++) {
				arr[i] = nextLong();
			}
			return arr;
		}
		public void close(){	
			try{ reader.close(); } catch(IOException e){e.printStackTrace();}
		}
	}
	static class FastWriter{
		BufferedWriter writer;
		public FastWriter(OutputStream stream){
			writer = new BufferedWriter(new OutputStreamWriter(stream));
		}
		public void print(int i) {
			print(Integer.toString(i));
		}
		public void println(int i) {
			print(Integer.toString(i));
			print('\n');
		}
		public void print(long i) {
			print(Long.toString(i));
		}
		public void println(long i) {
			print(Long.toString(i));
			print('\n');
		}
		public void print(double i) {
			print(Double.toString(i));
		}
		public void print(boolean i) {
			print(Boolean.toString(i));
		}
		public void print(Object o){
			print(o.toString());
		}
		public void println(Object o){
			print(o.toString());
			print('\n');
		}
		public void print(char i) {
			try{writer.write(i);} catch(IOException e){e.printStackTrace();}
		}
		public void print(String s){
			try{writer.write(s);} catch(IOException e){e.printStackTrace();}
		}
		public void println(String s){
			try{writer.write(s);writer.write('\n');} catch(IOException e){e.printStackTrace();}
		}
		public void println(){
			try{writer.write('\n');} catch(IOException e){e.printStackTrace();}
		}
		public void print(int arr[])
		{
			for (int i = 0; i < arr.length; i++) {
				print(arr[i]);
				print(' ');
			}
		}
		public void close(){
			try{writer.close();} catch(IOException e){e.printStackTrace();}
		}
	}

	/************************ TEMPLATE ENDS HERE ************************/
}