Problem: This is an interactive problem. Remember to flush your output while communicating with the testing program. You may use fflush(stdout) in C++, system.out.flush() in Java, stdout.flush() in Python or flush(output) in Pascal to flush the output. If you use some other programming language, consult its documentation. You may also refer to the guide on interactive problems: <https://codeforces.com/blog/entry/45307>.

The jury guessed some array a consisting of 6 integers. There are 6 special numbers — 4, 8, 15, 16, 23, 42 — and each of these numbers occurs in a exactly once (so, a is some permutation of these numbers).

You don't know anything about their order, but you are allowed to ask up to 4 queries. In each query, you may choose two indices i and j (1 ≤ i, j ≤ 6, i and j are not necessarily distinct), and you will get the value of a_i ⋅ a_j in return.

Can you guess the array a?

The array a is fixed beforehand in each test, the interaction program doesn't try to adapt to your queries.

Interaction

Before submitting the answer, you may ask up to 4 queries. To ask a query, print one line in the following format: ? i j, where i and j should be two integers such that 1 ≤ i, j ≤ 6. The line should be ended with a line break character. After submitting a query, flush the output and read the answer to your query — one line containing one integer a_i ⋅ a_j. If you submit an incorrect query (or ask more than 4 queries), the answer to it will be one string 0. After receiving such an answer, your program should terminate immediately — otherwise you may receive verdict "Runtime error", "Time limit exceeded" or some other verdict instead of "Wrong answer".

To give the answer, your program should print one line ! a_1 a_2 a_3 a_4 a_5 a_6 with a line break in the end. After that, it should flush the output and terminate gracefully.

Example

Input


16
64
345
672

Output


? 1 1
? 2 2
? 3 5
? 4 6
! 4 8 15 16 23 42

Note

If you want to submit a hack for this problem, your test should contain exactly six space-separated integers a_1, a_2, ..., a_6. Each of 6 special numbers should occur exactly once in the test. The test should be ended with a line break character.

Solution (in JAVA):

Solution:
import java.io.*;
import java.math.BigInteger;
import java.util.*;


public class GFG770 {
    static int mod1 = (int) (1e9 + 7);

    static class Reader {
        final private int BUFFER_SIZE = 1 << 16;
        Scanner scan = new Scanner(new BufferedReader(new InputStreamReader(System.in)));
        private DataInputStream din;
        private byte[] buffer;
        private int bufferPointer, bytesRead;

        public Reader() {
            din = new DataInputStream(System.in);
            buffer = new byte[BUFFER_SIZE];
            bufferPointer = bytesRead = 0;
        }

        public Reader(String file_name) throws IOException {
            din = new DataInputStream(new FileInputStream(file_name));
            buffer = new byte[BUFFER_SIZE];
            bufferPointer = bytesRead = 0;
        }

        public String nextString() throws IOException {
            String str00 = scan.next();
            return str00;
        }

        public String readLine() throws IOException {
            byte[] buf = new byte[64]; // line length
            int cnt = 0, c;
            while ((c = read()) != -1) {
                if (c == '\n')
                    break;
                buf[cnt++] = (byte) c;
            }
            return new String(buf, 0, cnt);
        }

        String next() throws IOException {
            int c;
            for (c = read(); c <= 32; c = read());
            StringBuilder sb = new StringBuilder();
            for (; c > 32; c = read()) {
                sb.append((char) c);
            }
            return sb.toString();
        }

        public int nextInt() throws IOException {
            int ret = 0;
            byte c = read();
            while (c <= ' ')
                c = read();
            boolean neg = (c == '-');
            if (neg)
                c = read();
            do {
                ret = ret * 10 + c - '0';
            } while ((c = read()) >= '0' && c <= '9');

            if (neg)
                return -ret;
            return ret;
        }

        public long nextLong() throws IOException {
            long ret = 0;
            byte c = read();
            while (c <= ' ')
                c = read();
            boolean neg = (c == '-');
            if (neg)
                c = read();
            do {
                ret = ret * 10 + c - '0';
            }
            while ((c = read()) >= '0' && c <= '9');
            if (neg)
                return -ret;
            return ret;
        }

        public double nextDouble() throws IOException {
            double ret = 0, div = 1;
            byte c = read();
            while (c <= ' ')
                c = read();
            boolean neg = (c == '-');
            if (neg)
                c = read();

            do {
                ret = ret * 10 + c - '0';
            }
            while ((c = read()) >= '0' && c <= '9');

            if (c == '.') {
                while ((c = read()) >= '0' && c <= '9') {
                    ret += (c - '0') / (div *= 10);
                }
            }

            if (neg)
                return -ret;
            return ret;
        }

        private void fillBuffer() throws IOException {
            bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE);
            if (bytesRead == -1)
                buffer[0] = -1;
        }

        private byte read() throws IOException {
            if (bufferPointer == bytesRead)
                fillBuffer();
            return buffer[bufferPointer++];
        }

        public void close() throws IOException {
            if (din == null)
                return;
            din.close();
        }

        public int[] nextArray(int n) throws IOException {
            int[] a = new int[n];
            for (int i = 0; i < n; i++) {
                a[i] = nextInt();
            }
            return a;
        }
    }


    static int GCD(int a, int b) {
        BigInteger big1 = new BigInteger(String.valueOf(a));
        BigInteger big2 = new BigInteger(String.valueOf(b));
        big1 = big1.gcd(big2);
        return Integer.parseInt(big1.toString());
    }


    static boolean primeCheck(long num0) {
        boolean b1 = true;
        if (num0 == 1) {
            b1 = false;
        } else {
            int num01 = (int) (Math.sqrt(num0)) + 1;
            me1:
            for (int i = 2; i < num01; i++) {
                if (num0 % i == 0) {
                    b1 = false;
                    break me1;
                }
            }
        }
        return b1;
    }

    public static int dev(long num1)
    {
        int count00=0;
        while (num1%2==0)
        {
            count00++;
            num1/=2;
        }
        HashMap<Long,Long> hashMap=new HashMap<>();
        if(count00!=0)
        {
            hashMap.put(2L,(long)count00);
        }
        for (int i = 3; i <= (int)Math.sqrt(num1); i = i + 2)
        {
            // While i divides n, print i and divide n
            if(num1%i==0) {
                int count01 = 0;

                while (num1 % i == 0) {
                    num1 /= i;
                    count01++;
                }
                hashMap.put((long)i,(long)count01);
            }
        }
        if(num1>2)
        {
            hashMap.put((long)num1,1L);
        }
        long numOfDiv=1;
        for(long num00:hashMap.keySet())
        {
            long cDiv0=hashMap.get(num00);
            numOfDiv*=(cDiv0+1);
        }

        return (int)(numOfDiv);
    }


    public static void main(String[] args) throws IOException {
        Reader r = new Reader();
        //PrintWriter writer=new PrintWriter(System.out);
        //Scanner r = new Scanner(new BufferedReader(new InputStreamReader(System.in)));
        OutputWriter770 out77 = new OutputWriter770(System.out);

        int[] arr1={4,8,15,16,23,42};
        int sum1=0;
        HashMap<Integer,HashSet<Integer>> hashSetHashMap=new HashMap<>();
        for(int i=0;i<6;i++)
        {
            sum1+=arr1[i];
            HashSet<Integer> hashSet=new HashSet<>();
            for(int j=0;j<6;j++)
            {
                if(i!=j)
                {
                    hashSet.add(arr1[i] * arr1[j]);
                }
            }
            hashSetHashMap.put(arr1[i],hashSet);
        }
        System.out.println("? "+1+" "+2);
        int num1=r.nextInt();
        System.out.println("? "+1+" "+3);
        int num2=r.nextInt();
        int a=0,b,c,d,e,f;
        me1: for(int i=0;i<6;i++)
        {
            if(hashSetHashMap.get(arr1[i]).contains(num1) && hashSetHashMap.get(arr1[i]).contains(num2))
            {
                a=arr1[i];
                break me1;
            }
        }
        b=num1/a;
        c=num2/a;
        System.out.println("? "+3+" "+4);
        int num3=r.nextInt();
        d=num3/c;
        System.out.println("? "+4+" "+5);
        int num5=r.nextInt();
        e=num5/d;
        f=sum1-(a+b+c+d+e);

        System.out.println("! "+a+" "+b+" "+c+" "+d+" "+e+" "+f);

        r.close();
        out77.close();
    }
}

class OutputWriter770
{
    BufferedWriter writer;

    public OutputWriter770(OutputStream stream)
    {
        writer = new BufferedWriter(new OutputStreamWriter(stream));
    }
    public void print(int i) throws IOException
    {
        writer.write(i + "");
    }

    public void println(int i) throws IOException
    {
        writer.write(i + "\n");
    }

    public void print(String s) throws IOException
    {
        writer.write(s + "");
    }

    public void println(String s) throws IOException
    {
        writer.write(s + "\n");
    }

    public void print(char[] c) throws IOException
    {
        writer.write(c);
    }

    public void close() throws IOException
    {
        writer.flush();
        writer.close();
    }
}

class NodeInfo
{
    int data,dist;
    NodeInfo(int data,int dist)
    {
        this.data=data;
        this.dist=dist;
    }
}