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.io.*;
import java.math.*;
import java.util.StringTokenizer;

/**
 * @author ramilagger
 */
public class Main {

    public final boolean ONLINE_JUDGE = System.getProperty("ONLINE_JUDGE") != null;
    public final BufferedReader br;
    public final PrintWriter pw;
    public StringTokenizer st;
    long a,b,c;

    public void solve() throws IOException {
        a = nextLong();
        b = nextLong();
        c = nextLong();
        long d = b * b - 4 * a * c;
        double x1 = (- b + Math.sqrt(d)) / (2.0 * a);
        double x2 = (- b - Math.sqrt(d)) / (2.0 * a);
        pw.println(Math.max(x1,x2));
        pw.println(Math.min(x1,x2));
    }

    public void run() throws IOException {

        long start = System.currentTimeMillis();
        solve();

        if(!ONLINE_JUDGE){
            long end = System.currentTimeMillis();
            System.err.println(end - start + " ms");
        }

        pw.close();
    }

    public Main() throws IOException {
        br = (ONLINE_JUDGE) ? new BufferedReader(new InputStreamReader(System.in))
                            : new BufferedReader(new FileReader("in.txt"));
        pw = (ONLINE_JUDGE) ? new PrintWriter(System.out)
                             : new PrintWriter(new FileWriter("out.txt"));
    }

    public static void main(String[] args) throws IOException {
        new Main().run();
    }

    public String next() throws IOException {
        while (st == null || !st.hasMoreTokens()) {
            st = new StringTokenizer(br.readLine());
        }
        return st.nextToken();
    }

    public int nextInt() throws IOException {
        return Integer.parseInt(next());
    }

    public long nextLong() throws IOException {
        return Long.parseLong(next());
    }

    public double nextDouble() throws IOException {
        return Double.parseDouble(next());
    }

    public BigInteger nextBigInteger () throws IOException {
        return new BigInteger(next());
    }

    public String nextLine() throws IOException {
        while (st == null || !st.hasMoreTokens()) {
            return br.readLine();
        }
        StringBuilder s = new StringBuilder(st.nextToken());
        while (st.hasMoreTokens()){
            s.append(" " + st.nextToken());
        }
        return s.toString();
    }
}