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 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.|
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.
1 2 3 4 5
0 0 0 1 -1 1 -1 0 0 -1