Problem: We know that lucky digits are digits 4 and 7, however Vasya's got another favorite digit 0 and he assumes it also is lucky! Lucky numbers are such non-negative integers whose decimal record only contains lucky digits. For example, numbers 0, 47, 7074 are lucky, but 1, 7377, 895,  -7 are not.

Vasya has t important positive integers he needs to remember. Vasya is quite superstitious and he wants to remember lucky numbers only, so he is asking you for each important number to represent it as a sum of exactly six lucky numbers (Vasya just can't remember more numbers). Then Vasya can just remember these six numbers and calculate the important number at any moment.

For each of t important integers represent it as the sum of six lucky numbers or state that this is impossible.

Input

The first line contains a single integer t (1 ≤ t ≤ 5000).

Next t lines contain a single positive integer ni (1 ≤ ni ≤ 1018) — the list of important numbers.

Please, do not use the %lld to read or write 64-bit integers С++. It is preferred to read the cin, cout streams or the %I64d specifier.

Output

Print t lines. The i-th line must contain the answer for the i-th important number: if the solution exists, the line must contain exactly six lucky numbers the sum of which equals ni, if the solution doesn't exist the string must contain a single integer -1.

If there are multiple answers print any of them.

Examples

Input

5
42
17
444
7
51


Output

7 7 7 7 7 7
-1
400 0 40 0 4 0
7 0 0 0 0 0
47 4 0 0 0 0

Solution (in JAVA):

Solution:
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.util.Arrays;
import java.io.IOException;
import java.io.UncheckedIOException;
import java.io.Closeable;
import java.io.Writer;
import java.io.OutputStreamWriter;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 */
public class Main {
    public static void main(String[] args) throws Exception {
        Thread thread = new Thread(null, new TaskAdapter(), "", 1 << 29);
        thread.start();
        thread.join();
    }

    static class TaskAdapter implements Runnable {
        @Override
        public void run() {
            InputStream inputStream = System.in;
            OutputStream outputStream = System.out;
            FastInput in = new FastInput(inputStream);
            FastOutput out = new FastOutput(outputStream);
            ELuckyNumberRepresentation solver = new ELuckyNumberRepresentation();
            int testCount = Integer.parseInt(in.next());
            for (int i = 1; i <= testCount; i++)
                solver.solve(i, in, out);
            out.close();
        }
    }

    static class ELuckyNumberRepresentation {
        int lim = 43;
        int[][] sol = new int[7][lim];
        int[] lucky = new int[]{0, 4, 7};
        int[] allComp;
        int[][] dp = new int[20][5];

        {
            SequenceUtils.deepFill(sol, -1);
            sol[0][0] = 0;
            for (int i = 0; i <= 5; i++) {
                for (int j = 0; j < lim; j++) {
                    if (sol[i][j] == -1) {
                        continue;
                    }
                    for (int x : lucky) {
                        if (j + x < lim) {
                            sol[i + 1][j + x] = x;
                        }
                    }
                }
            }
            IntegerArrayList possible = new IntegerArrayList();
            for (int i = 0; i < lim; i++) {
                if (sol[6][i] >= 0) {
                    possible.add(i);
                }
            }
            allComp = possible.toArray();
        }

        public void solve(int testNumber, FastInput in, FastOutput out) {
            long n = in.rl();
            char[] s = Long.toString(n).toCharArray();
            int len = s.length;
            SequenceUtils.deepFill(dp, -1);
            dp[0][0] = 0;
            for (int i = 0; i < len; i++) {
                for (int j = 0; j < 5; j++) {
                    if (dp[i][j] == -1) {
                        continue;
                    }
                    int sum = j * 10 + s[i] - '0';
                    for (int k : allComp) {
                        int r = sum - k;
                        if (r < 0 || r >= 5) {
                            continue;
                        }
                        dp[i + 1][r] = j;
                    }
                }
            }

            if (dp[len][0] == -1) {
                out.println(-1);
                return;
            }
            long[] built = new long[6];
            int cur = 0;
            long base = 1;
            for (int i = len; i > 0; i--, base *= 10) {
                int from = dp[i][cur];
                int sum = from * 10 + s[i - 1] - '0';
                int sub = sum - cur;
                cur = from;

                for (int j = 6; j > 0; j--) {
                    built[j - 1] += base * sol[j][sub];
                    sub -= sol[j][sub];
                }
            }

            for (long x : built) {
                out.append(x).append(' ');
            }
            out.println();
        }

    }

    static class SequenceUtils {
        public static void deepFill(Object array, int val) {
            if (!array.getClass().isArray()) {
                throw new IllegalArgumentException();
            }
            if (array instanceof int[]) {
                int[] intArray = (int[]) array;
                Arrays.fill(intArray, val);
            } else {
                Object[] objArray = (Object[]) array;
                for (Object obj : objArray) {
                    deepFill(obj, val);
                }
            }
        }

        public static boolean equal(int[] a, int al, int ar, int[] b, int bl, int br) {
            if ((ar - al) != (br - bl)) {
                return false;
            }
            for (int i = al, j = bl; i <= ar; i++, j++) {
                if (a[i] != b[j]) {
                    return false;
                }
            }
            return true;
        }

    }

    static class IntegerArrayList implements Cloneable {
        private int size;
        private int cap;
        private int[] data;
        private static final int[] EMPTY = new int[0];

        public IntegerArrayList(int cap) {
            this.cap = cap;
            if (cap == 0) {
                data = EMPTY;
            } else {
                data = new int[cap];
            }
        }

        public IntegerArrayList(int[] data) {
            this(0);
            addAll(data);
        }

        public IntegerArrayList(IntegerArrayList list) {
            this.size = list.size;
            this.cap = list.cap;
            this.data = Arrays.copyOf(list.data, size);
        }

        public IntegerArrayList() {
            this(0);
        }

        public void ensureSpace(int req) {
            if (req > cap) {
                while (cap < req) {
                    cap = Math.max(cap + 10, 2 * cap);
                }
                data = Arrays.copyOf(data, cap);
            }
        }

        public void add(int x) {
            ensureSpace(size + 1);
            data[size++] = x;
        }

        public void addAll(int[] x) {
            addAll(x, 0, x.length);
        }

        public void addAll(int[] x, int offset, int len) {
            ensureSpace(size + len);
            System.arraycopy(x, offset, data, size, len);
            size += len;
        }

        public void addAll(IntegerArrayList list) {
            addAll(list.data, 0, list.size);
        }

        public int[] toArray() {
            return Arrays.copyOf(data, size);
        }

        public String toString() {
            return Arrays.toString(toArray());
        }

        public boolean equals(Object obj) {
            if (!(obj instanceof IntegerArrayList)) {
                return false;
            }
            IntegerArrayList other = (IntegerArrayList) obj;
            return SequenceUtils.equal(data, 0, size - 1, other.data, 0, other.size - 1);
        }

        public int hashCode() {
            int h = 1;
            for (int i = 0; i < size; i++) {
                h = h * 31 + Integer.hashCode(data[i]);
            }
            return h;
        }

        public IntegerArrayList clone() {
            IntegerArrayList ans = new IntegerArrayList();
            ans.addAll(this);
            return ans;
        }

    }

    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(int c) {
            cache.append(c);
            afterWrite();
            return this;
        }

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

        public FastOutput println(int c) {
            return append(c).println();
        }

        public FastOutput println() {
            return append('\n');
        }

        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 FastInput {
        private final InputStream is;
        private StringBuilder defaultStringBuf = new StringBuilder(1 << 13);
        private byte[] buf = new byte[1 << 13];
        private int bufLen;
        private int bufOffset;
        private int next;

        public FastInput(InputStream is) {
            this.is = is;
        }

        private int read() {
            while (bufLen == bufOffset) {
                bufOffset = 0;
                try {
                    bufLen = is.read(buf);
                } catch (IOException e) {
                    bufLen = -1;
                }
                if (bufLen == -1) {
                    return -1;
                }
            }
            return buf[bufOffset++];
        }

        public void skipBlank() {
            while (next >= 0 && next <= 32) {
                next = read();
            }
        }

        public String next() {
            return readString();
        }

        public long rl() {
            return readLong();
        }

        public long readLong() {
            int sign = 1;

            skipBlank();
            if (next == '+' || next == '-') {
                sign = next == '+' ? 1 : -1;
                next = read();
            }

            long val = 0;
            if (sign == 1) {
                while (next >= '0' && next <= '9') {
                    val = val * 10 + next - '0';
                    next = read();
                }
            } else {
                while (next >= '0' && next <= '9') {
                    val = val * 10 - next + '0';
                    next = read();
                }
            }

            return val;
        }

        public String readString(StringBuilder builder) {
            skipBlank();

            while (next > 32) {
                builder.append((char) next);
                next = read();
            }

            return builder.toString();
        }

        public String readString() {
            defaultStringBuf.setLength(0);
            return readString(defaultStringBuf);
        }

    }
}