Polycarp is working on the implementation of displaying likes on the Codehorses social network. The number of likes should be displayed in a format that will be easy to read by users. It was decided that for large numbers of likes the format should be like 123K (one hundred twenty-three thousand) or like 56M (fifty-six million).

The following displaying strategy has been approved:

  * the number will be displayed either as an integer number from 0 to 999, or as a positive integer number of thousands (from 1K to 999K), or as a positive integer number of millions (from 1M on), 
  * the specified exact number of likes n when displaying should be rounded to the nearest view from the case above (if rounding is ambiguous, it must be rounded up): for example, 1785 should be rounded to 2K instead of 1K, 4500000 should be rounded to 5M. 



Help Polycarp implement this part of the functionality: for a given non-negative integer number of likes n, print its view in the Codehorses interface.

Input

The first line contains an integer t (1 ≤ t ≤ 1000) — the number of test cases in the input. The following are descriptions of the t input test cases, one per line.

The description of each test case consists of a single line that contains a non-negative integer n (0 ≤ n ≤ 2⋅10^9) — the number of likes.

Output

Print t answers to the given test cases in the order from the input. Each printed value must have one of the following types:

  * either an integer from 0 to 999 which corresponds just to the number of likes, 
  * or a number of thousands from 1K to 999K, 
  * or a number of millions from 1M to 2000M. 



The answer is equal to a view which is the closest (by difference) to the given number n. If this rounding is ambiguous, then round answer up (to a greater value).

Example

Input


9
999
123
0
1782
31415926
1500
999999
35499710
2000000000


Output


999
123
0
2K
31M
2K
1M
35M
2000M

Note

Let's describe some test cases: 

  * 1782 can be displayed either as 1K or as 2K but 2K is the nearest view; 
  * 1500 have same difference with 1K and 2K so it should be rounded up; 
  * 999999 should be displayed as 1M since it's closer to it than to 999K.

Source: codeforces | Difficulty: UNKNOWN_DIFFICULTY
Tags: Implementation


Solutions: