Problem: Given is an integer S. Find a combination of six integers X_1,Y_1,X_2,Y_2,X_3, and Y_3 that satisfies all of the following conditions:

* 0 \leq X_1,Y_1,X_2,Y_2,X_3,Y_3 \leq 10^9
* The area of the triangle in a two-dimensional plane whose vertices are (X_1,Y_1),(X_2,Y_2), and (X_3,Y_3) is S/2.



We can prove that there always exist six integers that satisfy the conditions under the constraints of this problem.

Constraints

* 1 \leq S \leq 10^{18}
* All values in input are integers.

Input

Input is given from Standard Input in the following format:


S


Output

Print six integers X_1,Y_1,X_2,Y_2,X_3, and Y_3 that satisfy the conditions, in this order, with spaces in between. If multiple solutions exist, any of them will be accepted.

Examples

Input

3


Output

1 0 2 2 0 1


Input

100


Output

0 0 10 0 0 10


Input

311114770564041497


Output

314159265 358979323 846264338 327950288 419716939 937510582

Solution (in JAVA):

Solution:
/**
 * Created at 20:59 on 2019-07-21
 */

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

public class Main {

  static FastScanner sc = new FastScanner();
  static PrintStream out = System.out;
  static PrintWriter pw = new PrintWriter(out);

  static final int[] dx = {0, 1, 0, -1};
  static final int[] dy = {-1, 0, 1, 0};

  static final long MOD = (long) (1e9 + 7);
  static final long INF = Long.MAX_VALUE / 2;

  public static class Solver {
    public Solver() {

      long S = sc.nextLong();

      long bound = (long)Math.sqrt(S);

      if (bound * bound == S) {
        out.println("0 0 0 " + bound + " " + bound + " 0");
      } else {
        boolean done = false;
        while (bound * bound > S) bound--;
        while (!done) {
          bound++;
          long sub = bound * bound - S;

          int subsqrt = (int)Math.sqrt(sub);

          for (int i=1; i<=subsqrt; i++) {
            if (sub % i == 0 && sub/(long)i <= 1e9) {
              out.println("0 0 " + bound + " " + i + " " + (sub/(long)i) + " " + bound);
              done = true;
              break;
            }
          }
        }
      }

    }

    /*
     * 約数を小さい順に並べた配列を返す
     */
    public int[] getFactors(long n) {
      ArrayList<Integer> f1 = new ArrayList();
      ArrayList<Integer> f2 = new ArrayList();
      int bound = (int)Math.sqrt(n);
      for (int i=1; i<=bound; i++) {
        if (n % i == 0 && n/(long)i <= 1e9) {
          f1.add(i);
          f2.add((int)(n/(long)i));
        }
      }

      if (bound * bound == n) f2.remove(f2.size()-1);

      int[] factors = new int[f1.size() + f2.size()];

      for (int i=0; i<f1.size(); i++) {
        factors[i] = f1.get(i);
      }

      for (int i=0; i<f2.size(); i++) {
        factors[f1.size()+i] = f2.get(f2.size()-i-1);
      }

      return factors;
    }

  }

  public static void main(String[] args) {
    new Solver();
  }

  static class FastScanner {
    private final InputStream in = System.in;
    private final byte[] buffer = new byte[1024];
    private int ptr = 0;
    private int buflen = 0;

    private boolean hasNextByte() {
      if (ptr < buflen) {
        return true;
      } else {
        ptr = 0;
        try {
          buflen = in.read(buffer);
        } catch (IOException e) {
          e.printStackTrace();
        }
        if (buflen <= 0) {
          return false;
        }
      }
      return true;
    }

    private int readByte() {
      if (hasNextByte()) return buffer[ptr++];
      else return -1;
    }

    private static boolean isPrintableChar(int c) {
      return 33 <= c && c <= 126;
    }

    private void skipUnprintable() {
      while (hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++;
    }

    public boolean hasNext() {
      skipUnprintable();
      return hasNextByte();
    }

    public String next() {
      if (!hasNext()) throw new NoSuchElementException();
      StringBuilder sb = new StringBuilder();
      int b = readByte();
      while (isPrintableChar(b)) {
        sb.appendCodePoint(b);
        b = readByte();
      }
      return sb.toString();
    }

    public long nextLong() {
      if (!hasNext()) throw new NoSuchElementException();
      long n = 0;
      boolean minus = false;
      int b = readByte();
      if (b == '-') {
        minus = true;
        b = readByte();
      }
      if (b < '0' || '9' < b) {
        throw new NumberFormatException();
      }
      while (true) {
        if ('0' <= b && b <= '9') {
          n *= 10;
          n += b - '0';
        } else if (b == -1 || !isPrintableChar(b)) {
          return minus ? -n : n;
        } else {
          throw new NumberFormatException();
        }
        b = readByte();
      }
    }

    public int nextInt() {
      return (int) nextLong();
    }

    public int[] nextIntArray(int N, boolean oneBased) {
      if (oneBased) {
        int[] array = new int[N + 1];
        for (int i = 1; i <= N; i++) {
          array[i] = sc.nextInt();
        }
        return array;
      } else {
        int[] array = new int[N];
        for (int i = 0; i < N; i++) {
          array[i] = sc.nextInt();
        }
        return array;
      }
    }

    public long[] nextLongArray(int N, boolean oneBased) {
      if (oneBased) {
        long[] array = new long[N + 1];
        for (int i = 1; i <= N; i++) {
          array[i] = sc.nextLong();
        }
        return array;
      } else {
        long[] array = new long[N];
        for (int i = 0; i < N; i++) {
          array[i] = sc.nextLong();
        }
        return array;
      }
    }
  }

}