import java.io.BufferedReader;
import java.io.InputStreamReader;

/**
 * @file Note.java
 * @date 2015. 4. 27.
 * @author yyh
 */

public class Note {
    static char[] ascending = {
        '1','2','3','4','5','6','7','8'
    };

    static char[] decending = {
        '8','7','6','5','4','3','2','1'
    };
    public static void main(String[] args) throws Exception{
        BufferedReader input = new BufferedReader(new InputStreamReader(System.in));

        int state = 0;
        char[] target = null;
        String in = input.readLine();
        if(in.charAt(0) == '1') {
            target = ascending;
        }
        else if(in.charAt(0) == '8')    {
            target = decending;
        } else  {
            System.out.println("mixed");
            return;
        }

        if(target != null)  {
            int j = 2;
            for(int i = 1; i < 8; ++i)  {
                if(target[i] != in.charAt(j))   {
                    System.out.println("mixed");
                    return;
                }
                j+=2;
            }

            if(target == ascending) {
                System.out.println("ascending");
            } else  {
                System.out.println("descending");
            }
        }

    }
}