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.
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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. |
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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 0 1 -1 1 -1 0 0 -1