[to understand the context of this problem, you should read the class #01 exercise sheet]

[AED005] Number Spiral

Imagine the following number spiral (starts on 01 and goes in increasing order):

|      +--+--+--+--+--+--+
|  +2  |21|22|23|24|25|26|
|      +--+--+--+--+--+--+
|  +1  |20|07|08|09|10|27|
      +--+--+--+--+--+--+
Y   0  |19|06|01|02|11|28|
       +--+--+--+--+--+--+
|  -1  |18|05|04|03|12|29|
|      +--+--+--+--+--+--+
|  -2  |17|16|15|14|13|30|
|      +--+--+--+--+--+--+
                      ...
        -2 -1  0 +1 +2 +3
       ------- X --------

Suppose you have a coordinate system (X,Y) as shown, where the origin is the number 01. Using this, we can say 01 is at position (0,0), 02 is at position (1,0), 03 at position (1,-1), 04 at position (0,-1), 05 at position (-1,-1), and so on.

The Problem

Given a sequence N, can you compute its coordinates (X,Y) on the number spiral?

Input

The input has a single line containing N, the number to consider.

Output

A single line containing (X,Y), the coordinates of the number on the spiral, as described before.

Constraints

The following limits are guaranteed in all the test cases that will be given to your program:

5

(-1,-1)

26

(3,2)