Random vectors

import java.io.*;
import java.util.*;

public class CF {

    class Thing implements Comparable<Thing> {
        int id;
        double d;

        Thing(int id, double d) {
            this.id = id;
            this.d = d;
        }

        @Override
        public int compareTo(Thing o) {
            return Double.compare(o.d, d);
        }

    }

    void solve() {
        int n = in.nextInt();
        int[] x = new int[n];
        int[] y = new int[n];
        for (int i = 0; i < n; i++) {
            x[i] = in.nextInt();
            y[i] = in.nextInt();
        }
        long[] ans = new long[n + 1];
        Random rnd = new Random(123);
        Thing[] a = new Thing[n];
        for (int i = 0; i < n; i++)
            a[i] = new Thing(i, 0);
        for (int ITER = 0; ITER < 5000; ITER++) {
            double angle = rnd.nextDouble() * Math.PI * 2;
            double x1 = Math.cos(angle);
            double y1 = Math.sin(angle);
            for (int i = 0; i < n; i++) {
                a[i].id = i;
                a[i].d = x1 * x[i] + y1 * y[i];
            }
            Arrays.sort(a);
            long nowX = 0, nowY = 0;
            for (int i = 0; i < n; i++) {
                nowX += x[a[i].id];
                nowY += y[a[i].id];
                long dist = nowX * nowX + nowY * nowY;
                ans[i + 1] = Math.max(ans[i + 1], dist);
            }
        }
        for (int i = 1; i <= n; i++) {
            out.println(Math.sqrt(ans[i]));
        }
    }

    FastScaner in;
    PrintWriter out;

    void run() {
        in = new FastScaner(System.in);
        out = new PrintWriter(System.out);

        solve();

        out.close();
    }

    void runWithFiles() {
        in = new FastScaner(new File("input.txt"));
        try {
            out = new PrintWriter(new File("output.txt"));
        } catch (FileNotFoundException e) {
            e.printStackTrace();
        }

        solve();

        out.close();
    }

    public static void main(String[] args) {
        Locale.setDefault(Locale.US);
        new CF().run();
    }

    class FastScaner {
        BufferedReader br;
        StringTokenizer st;

        FastScaner(InputStream is) {
            br = new BufferedReader(new InputStreamReader(is));
        }

        FastScaner(File f) {
            try {
                br = new BufferedReader(new FileReader(f));
            } catch (FileNotFoundException e) {
                e.printStackTrace();
            }
        }

        String next() {
            while (st == null || !st.hasMoreElements()) {
                String s = null;
                try {
                    s = br.readLine();
                } catch (IOException e) {
                    e.printStackTrace();
                }
                if (s == null)
                    return null;
                st = new StringTokenizer(s);
            }
            return st.nextToken();
        }

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

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

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