Polycarp must pay exactly n burles at the checkout. He has coins of two nominal values: 1 burle and 2 burles. Polycarp likes both kinds of coins equally. So he doesn't want to pay with more coins of one type than with the other.

Thus, Polycarp wants to minimize the difference between the count of coins of 1 burle and 2 burles being used. Help him by determining two non-negative integer values c_1 and c_2 which are the number of coins of 1 burle and 2 burles, respectively, so that the total value of that number of coins is exactly n (i. e. c_1 + 2 ⋅ c_2 = n), and the absolute value of the difference between c_1 and c_2 is as little as possible (i. e. you must minimize |c_1-c_2|).

Input

The first line contains one integer t (1 ≤ t ≤ 10^4) — the number of test cases. Then t test cases follow.

Each test case consists of one line. This line contains one integer n (1 ≤ n ≤ 10^9) — the number of burles to be paid by Polycarp.

Output

For each test case, output a separate line containing two integers c_1 and c_2 (c_1, c_2 ≥ 0) separated by a space where c_1 is the number of coins of 1 burle and c_2 is the number of coins of 2 burles. If there are multiple optimal solutions, print any one.

Example

Input


6
1000
30
1
32
1000000000
5


Output


334 333
10 10
1 0
10 11
333333334 333333333
1 2

Note

The answer for the first test case is "334 333". The sum of the nominal values of all coins is 334 ⋅ 1 + 333 ⋅ 2 = 1000, whereas |334 - 333| = 1. One can't get the better value because if |c_1 - c_2| = 0, then c_1 = c_2 and c_1 ⋅ 1 + c_1 ⋅ 2 = 1000, but then the value of c_1 isn't an integer.

The answer for the second test case is "10 10". The sum of the nominal values is 10 ⋅ 1 + 10 ⋅ 2 = 30 and |10 - 10| = 0, whereas there's no number having an absolute value less than 0.
1
10111
 1
10555
 2
3000002
3000001
 1
3000002

3371 3370
 3519 3518
 1000000 1000001
1000001 1000000
 1000000 1000001




    import java.io.*;
    import java.util.*;
    import java.io.BufferedReader;
    import java.io.IOException;
    import java.util.Collections;
    import java.io.InputStreamReader;
    import static java.lang.Math.*;
    import static java.lang.System.*;

    public class Main1 {






        public static void main(String[] args) throws IOException {

    //       try {
           // Scanner in = new Scanner(System.in) ;
             FastScanner in = new FastScanner();
           PrintWriter out = new PrintWriter(System.out);

              int t = in.nextInt() ;
              while (t-- > 0){

                  int n = in.nextInt() ;
                  int tt = n/3 ;
                  if (n%3 == 0){
                      System.out.println((n/3) + " " + (n/3));
                  }
                  else {
                    if (n%3 == 2){
                        System.out.println((n/3) + " " + ((n/3)+1));
                    }
                    else if (n%3 == 1){
                        System.out.println(((n/3)+1) + " " + (n/3));
                    }
                  }

              }







            



            out.flush();
            out.close();

        }
    //        catch (Exception e){
    //            return;
    //        }
    //
    //    }

        static long gcd(long a, long b) {
            return (b == 0) ? a : gcd(b, a % b);
        }

        static int gcd(int a, int b) {
            return (b == 0) ? a : gcd(b, a % b);
        }

        static void sort(int ar[]) {
            int n = ar.length;
            ArrayList<Integer> a = new ArrayList<>();
            for (int i = 0; i < n; i++)
                a.add(ar[i]);
            Collections.sort(a);
            for (int i = 0; i < n; i++)
                ar[i] = a.get(i);
        }

        static void sort1(long ar[]) {
            int n = ar.length;
            ArrayList<Long> a = new ArrayList<>();
            for (int i = 0; i < n; i++)
                a.add(ar[i]);
            Collections.sort(a);
            for (int i = 0; i < n; i++)
                ar[i] = a.get(i);
        }

        static long ncr(long n, long r, long mod) {
            if (r == 0)
                return 1;
            long val = ncr(n - 1, r - 1, mod);
            val = (n * val) % mod;
            val = (val * modInverse(r, mod)) % mod;
            return val;
        }

        static long fast_pow(long base, long n, long M) {
            if (n == 0)
                return 1;
            if (n == 1)
                return base % M;
            long halfn = fast_pow(base, n / 2, M);
            if (n % 2 == 0)
                return (halfn * halfn) % M;
            else
                return (((halfn * halfn) % M) * base) % M;
        }

        static long modInverse(long n, long M) {
            return fast_pow(n, M - 2, M);
        }

    // ======================================================================================================



        static class FastOutput implements AutoCloseable, Closeable, Appendable {
            private static final int THRESHOLD = 32 << 10;
            private final Writer os;
            private StringBuilder cache = new StringBuilder(THRESHOLD * 2);

            public FastOutput append(CharSequence csq) {
                cache.append(csq);
                return this;
            }

            public FastOutput append(CharSequence csq, int start, int end) {
                cache.append(csq, start, end);
                return this;
            }

            private void afterWrite() {
                if (cache.length() < THRESHOLD) {
                    return;
                }
                flush();
            }

            public FastOutput(Writer os) {
                this.os = os;
            }

            public FastOutput(OutputStream os) {
                this(new OutputStreamWriter(os));
            }

            public FastOutput append(char c) {
                cache.append(c);
                afterWrite();
                return this;
            }

            public FastOutput append(long c) {
                cache.append(c);
                afterWrite();
                return this;
            }

            public FastOutput append(String c) {
                cache.append(c);
                afterWrite();
                return this;
            }

            public FastOutput println() {
                return append(System.lineSeparator());
            }

            public FastOutput flush() {
                try {
                    //            boolean success = false;
                    //            if (stringBuilderValueField != null) {
                    //                try {
                    //                    char[] value = (char[]) stringBuilderValueField.get(cache);
                    //                    os.write(value, 0, cache.length());
                    //                    success = true;
                    //                } catch (Exception e) {
                    //                }
                    //            }
                    //            if (!success) {
                    os.append(cache);
                    //            }
                    os.flush();
                    cache.setLength(0);
                } catch (IOException e) {
                    throw new UncheckedIOException(e);
                }
                return this;
            }

            public void close() {
                flush();
                try {
                    os.close();
                } catch (IOException e) {
                    throw new UncheckedIOException(e);
                }
            }

            public String toString() {
                return cache.toString();
            }

        }


        static class FastScanner {
            BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
            StringTokenizer st = new StringTokenizer("");

            String next() {
                while (!st.hasMoreTokens())
                    try {
                        st = new StringTokenizer(br.readLine());
                    } catch (IOException e) {
                        e.printStackTrace();
                    }
                return st.nextToken();
            }

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

            int[] readArray(int n) {
                int[] a = new int[n];
                for (int i = 0; i < n; i++) a[i] = nextInt();
                return a;
            }


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


    }







