Bee Maja

Time Limit: 1000 ms Memory Limit: 65536 KiB

Problem Description

Maja is a bee. She lives in a bee hive with thousands of other bees. This bee hive consists of many hexagonal honey combs where the honey is stored in. 
But bee Maja has a problem. Willi told her where she can meet him, but because Willi is a male drone and Maja is a female worker they have different coordinate systems.

Maja\'s Coordinate System
Willi\'s Coordinate System
Maja who often flies directly to a special honey comb has laid an advanced two dimensional grid over the whole hive. Willi who is more lazy and often walks around just numbered the cells clockwise starting from 1 in the middle of the hive.
\"Maja\" \"Willi\"

Help Maja to convert Willi\'s system to hers. Write a program which for a given honey comb number gives the coordinates in Maja\'s system.

Input

The input file contains one or more integers which represent Willi\'s numbers. Each number stands on its own in a separate line, directly followed by a newline. The honey comb numbers are all less than 100 000. 

Output

You should output the corresponding Maja coordinates to Willi\'s numbers, each coordinate pair on a separate line.

Sample Input

1
2
3
4
5

Sample Output

0 0
0 1
-1 1
-1 0
0 -1

Hint


Source

1999/2000 University of Ulm Local Contest