Having just landed in the desert Kira remembers that his Strike Gundam is not yet programmed for sand environments. He needs to determine the right amount of pressure that the Strike needs to exert on the sand so that it will neither sink nor float. In other words, he needs the pressure to be an exact number. He knows that the maximum pressure that needs to be exerted is and the minimum pressure is . He wants to find this number in at most guesses.

#### Interaction

This is an interactive problem. Your program will keep outputting numbers between and inclusive and reading a line of input after each output. The line your program reads will be `FLOATS`

if your guess for the pressure is too high, `SINKS`

if your guess for the pressure is too low, and `OK`

if you have the right number. At this point, your program should terminate.

Each time you output a number, **you need to output a new line and flush your output buffers**. For example, in Python you can do this with `import sys; sys.stdout.flush()`

, and in Java with `System.out.flush()`

.

#### Sample Interaction

`>>>`

denotes your output; don't actually print this out.

```
>>> 1
SINKS
>>> 6
SINKS
>>> 10
SINKS
>>> 40
FLOATS
>>> 32
OK
```

## Comments

Any reason why I TLE on case 3? My solution should take the same amount of time for each question if I'm using binary search to solve.

EDIT:Nvm, I think I got it. Disregard.I'm getting AC on every case but TLE on the 2nd one

Perhaps you should read the comments, the person below had the same problem as you...

What is wrong with intWhy can't I use int? I switched to long long and then it passed

Because you mostly might be doing

`(left+right) / 2`

, when`left`

and`right`

, it would overflow a 32-bit data type. This is why you need to use a 64-bit data type. The likely reason for your TLE verdict is mostly because you overflowed, and thus the variables went to negative (this is what happens when data types overflow), so your while loop went on forever.Shinn > Kira