H - 二分+交互

Gym - 101375H

Obs: this is an interactive problem. More information is under the "Interaction" section.

MaratonIME is gathering to start another group practice. This time, Renzo decided to reward the students with candies as they solve problems. Curious as they are, the members of MaratonIME started to guess how many candies did Renzo bring. For each question, Renzo answered if the amount of candies was higher, lower or equal to the number asked.

Breno, noticing that the amount of candies could be very high, decided to limit the number of queries to 50. This way, the practice would start as soon as possible.

Renzo bought at least 1 and no more than 1e9 candies. Find how many candies were bought by Renzo with no more than 50 questions.

Input

For every question asked, read a character. It will be " > " if the amount of Renzo's candies is higher than your guess, " < " if the amount of Renzo's candies is lower than your guess or " = " if your guess is equal to the amount of Renzo's candies.

Output

You must print every query in the format "Q y", where y is the number guessed, and 1 ≤ y ≤ 109. After printing a question, you need to flush the output. Check the "Interaction" section for examples of how to flush the output.

Interaction

To ask Renzo a question, print the query in the format above. After printing a question, you need to flush the output. See examples below for each language:

C: fflush(stdout)

C++: cout.flush()

Java: System.out.flush()

Python: sys.stdout.flush()

Pascal: flush(output)

After each query, read a character as described above.

As soon as Renzo answers your question with "=" the program has to terminate. Your answer will be considered correct if you asked no more than 50 questions.

Example

Input

>
<
=

 

Output

Q 1
Q 3
Q 2

 

Note

In the example, the number of candies is 2. The answer is considered to be correct because only 3 out of the 50 possible questions were asked to obtain the character " = ".

Make sure to flush the output after printing each question!

题目描述：

Renzo带的糖可能是1~1e9。猜他带了多少糖，多了少了会给相应的符号，猜中就结束程序。

分析：

二分，关键是记得清除缓存和二分区间1~1e9。在这个区间内二分即可。

代码：

#include<stdio.h>

using namespace std;
int main()
{
    char c;
    int l=1;
    int r=1e9;
    int mid;
    while(l<=r)
    {
        mid=(l+r)/2;
        printf("Q %d\n",mid);
        fflush(stdout);
        c=getchar();
        getchar();
        if(c=='<')
        {
            r=mid-1;
        }
        else if(c=='>')
        {
            l=mid+1;
        }
        else
        {
            break;
        }
    }
    
    return 0;
}