408859: GYM103351 I Guess the expression

Hello! Today we are going to play the game 'Guess the expression'. I have a hidden arithmetic expression of a specific format (a op1 b op2 c). I guarantee you that op1, op2 $$$\in$$$ $$$\{$$$ '+', '-', '*' $$$\}$$$.

Some examples of expressions I could have hidden: a+b*c, a-b-c, a*b-c. Your game objective is to guess my expression by asking queries. You can give me values of the variables ($$$a$$$, $$$b$$$, $$$c$$$) and I will give you back the result of the expression with these variables.

The only two rules are:

• You can ask no more than two queries;
• Your integers have to satisfy $$$0 \le a, b, c \le 1$$$.

Will you play or will you resign?

To ask a query print a single line following the format ? a b c. The integers should satisfy the constraint $$$0 \le a, b, c \le 1$$$. You will then have to read a single integer which will be my answer to your query.

Your program should not ask more than two queries.

To guess an expression print a line in format ! s. Your program has to immediately terminate after printing this line, otherwise you may get unpredictable verdicts.

Remember to flush the output every time. Use:

• fflush(stdout) or cout.flush() in C++;
• System.out.flush() in Java;
• flush(output) in Pascal;
• stdout.flush() in Python;

-1

1

? 0 0 1

? 1 1 0

! a*b-c