F. Interacdive Problem
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

This problem is interactive.

We decided to play a game with you and guess the number $x$ ($1 \le x < n$), where you know the number $n$.

You can make queries like this:

• + c: this command assigns $x = x + c$ ($1 \le c < n$) and then returns you the value $\lfloor\frac{x}{n}\rfloor$ ($x$ divide by $n$ and round down).

You win if you guess the current number with no more than $10$ queries.

Interaction

The interaction begins by reading an integer $n$ ($2 < n \le 1000$), which is written in the input data on its own line.

Then you can make no more than $10$ queries. To make a query, print on a separate line:

• + c: this command will assign $x = x + c$ ($1 \le c < n$) and then print $\lfloor\frac{x}{n}\rfloor$ (divide $x$ by $n$ and round down) on a separate line.

Print the answer, like the queries, on a separate line. The answer doesn't count in number of queries. To output it, use the following format:

• ! x: the current value of $x$.

After that, your program should exit.

You have to use a flush operation right after printing each line. For example, in C++ you should use the function fflush(stdout), in Java — System.out.flush(), in Pascal — flush(output) and in Python — sys.stdout.flush().

Note that the interactor is not responsive.

To make a hack, use the following format: a single line must contain two numbers $x$ and $n$, separated by a space.

Examples
Input
3

1
Output
+ 1

! 3
Input
5

0

0

1

Output
+ 1

+ 1

+ 1

! 5

Input
10

0

0

1

2
Output

+ 2

+ 2

+ 3

+ 8

! 20
Note

In the first sample initially $x = 2$. After the first query $x = 3$, $\lfloor\frac{x}{n}\rfloor = 1$.

In the second sample also initially $x = 2$. After the first query $x = 3$, $\lfloor\frac{x}{n}\rfloor = 0$. After the second query $x = 4$, $\lfloor\frac{x}{n}\rfloor = 0$. After the third query $x=5$, $\lfloor\frac{x}{n}\rfloor = 1$.