Alica and Bob are playing a game.

Initially they have a binary string s consisting of only characters 0 and 1.

Alice and Bob make alternating moves: Alice makes the first move, Bob makes the second move, Alice makes the third one, and so on. During each move, the current player must choose two different adjacent characters of string s and delete them. For example, if s = 1011001 then the following moves are possible: 

  1. delete s_1 and s_2: 1011001 → 11001; 
  2. delete s_2 and s_3: 1011001 → 11001; 
  3. delete s_4 and s_5: 1011001 → 10101; 
  4. delete s_6 and s_7: 1011001 → 10110. 



If a player can't make any move, they lose. Both players play optimally. You have to determine if Alice can win.

Input

First line contains one integer t (1 ≤ t ≤ 1000) — the number of test cases.

Only line of each test case contains one string s (1 ≤ |s| ≤ 100), consisting of only characters 0 and 1.

Output

For each test case print answer in the single line.

If Alice can win print DA (YES in Russian) in any register. Otherwise print NET (NO in Russian) in any register.

Example

Input


3
01
1111
0011


Output


DA
NET
NET

Note

In the first test case after Alice's move string s become empty and Bob can not make any move.

In the second test case Alice can not make any move initially.

In the third test case after Alice's move string s turn into 01. Then, after Bob's move string s become empty and Alice can not make any move.
//   package com.company;
import javax.swing.plaf.IconUIResource;
import java.util.*;
import java.io.*;
import java.lang.*;
/*
 ** @author jigar_nainuji
 */
public class Main{

    public static void main(String args[]){
        PrintWriter out=new PrintWriter(System.out);
        InputReader in=new InputReader(System.in);
        TASK solver = new TASK();
        int t = in.nextInt();
//        int t=1;
        for(int i=0;i<t;i++)
        {
            solver.solve(in,out,i);
        }
        out.close();
    }
    static class TASK {
        static int mod = 1000000007;
        void solve(InputReader in, PrintWriter out, int testNumber) {
          char ch[] = in.next().toCharArray();
          int z=0,o=0;
          for(int i=0;i<ch.length;i++)
          {
              if(ch[i]=='0')
                  z++;
              else
                  o++;
          }
          int ans=Math.min(z,o);
          if(ans%2==1)
              System.out.println("DA");
          else
              System.out.println("NET");


        }
    }

    static class pair{
        int x;
        int y;
        pair(int x,int y)
        {
            this.x=x;
            this.y=y;
        }

    }


    static class InputReader {
        private InputStream stream;
        private byte[] buf = new byte[1024];
        private int curChar;
        private int numChars;
        private SpaceCharFilter filter;

        public InputReader(InputStream stream) {
            this.stream = stream;
        }

        public int read() {
            if (numChars == -1)
                throw new InputMismatchException();

            if (curChar >= numChars) {
                curChar = 0;
                try {
                    numChars = stream.read(buf);
                } catch (IOException e) {
                    throw new InputMismatchException();
                }

                if (numChars <= 0)
                    return -1;
            }
            return buf[curChar++];
        }

        public String nextLine() {
            BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
            String str = "";
            try {
                str = br.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        }

        public int nextInt() {
            int c = read();

            while (isSpaceChar(c))
                c = read();

            int sgn = 1;

            if (c == '-') {
                sgn = -1;
                c = read();
            }

            int res = 0;
            do {
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = read();
            }
            while (!isSpaceChar(c));

            return res * sgn;
        }

        public long nextLong() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            long res = 0;

            do {
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = read();
            }
            while (!isSpaceChar(c));
            return res * sgn;
        }

        public double nextDouble() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            double res = 0;
            while (!isSpaceChar(c) && c != '.') {
                if (c == 'e' || c == 'E')
                    return res * Math.pow(10, nextInt());
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = read();
            }
            if (c == '.') {
                c = read();
                double m = 1;
                while (!isSpaceChar(c)) {
                    if (c == 'e' || c == 'E')
                        return res * Math.pow(10, nextInt());
                    if (c < '0' || c > '9')
                        throw new InputMismatchException();
                    m /= 10;
                    res += (c - '0') * m;
                    c = read();
                }
            }
            return res * sgn;
        }

        public String readString() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            StringBuilder res = new StringBuilder();
            do {
                res.appendCodePoint(c);
                c = read();
            }
            while (!isSpaceChar(c));

            return res.toString();
        }

        public boolean isSpaceChar(int c) {
            if (filter != null)
                return filter.isSpaceChar(c);
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }

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

        public interface SpaceCharFilter {
            public boolean isSpaceChar(int ch);
        }
    }
}