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import java.io.*;
import java.util.*;
 
class BearHouseQueries {
	public static void main(String args[]) throws IOException {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		int low = 0;
		int high = 1000;
		int mid = 0;
		String input = "";
		mid = low + (high - low) / 2;
		while(high >= low){
			
			System.out.println("? " + mid + " 0");
			System.out.flush();
			input = br.readLine();
			if(input.equals("YES")){
				low = mid + 1;
				mid = low + (high - low) / 2;
			}
			else{
				high = mid - 1;
				mid = low + (high - low) / 2;
			}
		}
		
		mid = mid - 1;
		int length = mid * 2;
		
		low = mid;
		high = 1000;
		mid = low + (high - low) / 2;
		while(high >= low){
			
			System.out.println("? " + mid + " " + length);
			System.out.flush();
			input = br.readLine();
			if(input.equals("YES")){
				low = mid + 1;
				mid = low + (high - low) / 2;
			}
			else{
				high = mid - 1;
				mid = low + (high - low) / 2;
			}
		}
		
		mid = mid - 1;
		int base = mid * 2;
		
		low = length;
		high = 1000;
		mid = low + (high - low) / 2;
		while(high >= low){
			//mid = low + (high - low) / 2;
			System.out.println("? 0 " +  mid);
			System.out.flush();
			input = br.readLine();
			if(input.equals("YES")){
				low = mid + 1;
				mid = low + (high - low) / 2;
			}
			else{
				high = mid - 1;
				mid = low + (high - low) / 2;
			}
		}
		
		mid = mid - 1;
		int heightoft = mid - length;
		
		int area = (int)((length * length) + (heightoft * base * 0.5));
		System.out.println("! " + area);
		
	}
 
}

Its In Java

Time complexity