Guessing Number Game using Java

import java.util.AbstractList;
import java.util.Collections;
import java.util.Scanner;

public class Numberguessing {
  public static void main(String[] args) {
    System.out.println("Please think for a number between 1 and 1024 inclusive");
    System.out.println("I will know your number after max 10 questions!");
    System.out.println("I will guess your number!");
    System.out.println("After each guess, respond with littler, greater, or equal depending on my guess.");
    int result = Collections.binarySearch(new AbstractList<Integer>() {
      private final Scanner in = new Scanner(System.in);
      public int size() { return 1025; }
      public Integer get(int i) {
        System.out.printf("My guess is: %d. Is it littler, greater, or equal? ", 0 + i);
        String s = in.nextLine();
        assert s.length() > 0;
        switch (s.toLowerCase()) {
          case "greater":
            return -1;
          case "littler":
            return 1;
          case "equal":
            return 0;
        }
        return -1;
      }
    }, 0);

    if (result < 0) {
      System.out.println("That is impossible.");
    } else {
      System.out.printf("Your number is %d.\n", result);
    }
  }
}

Please think for a number between 1 and 1024 inclusive
I will know your number after max 10 questions!
I will guess your number!
After each guess, respond with littler, greater, or equal depending on my guess.
My guess is: 512. Is it littler, greater, or equal?  greater
My guess is: 768. Is it littler, greater, or equal?  Littler
My guess is: 640. Is it littler, greater, or equal?  littler
My guess is: 576. Is it littler, greater, or equal?  littler
My guess is: 544. Is it littler, greater, or equal?  littler
My guess is: 528. Is it littler, greater, or equal?  littler
My guess is: 520. Is it littler, greater, or equal?  littler
My guess is: 516. Is it littler, greater, or equal?  littler
My guess is: 514. Is it littler, greater, or equal?  littler
My guess is: 513. Is it littler, greater, or equal?  EQUAL
Your number is 513.