A tiny nocturnal bug decided one evening to climb a mammoth tree. At this time the tree was exactly 100 m tall. In every night the bug managed to climb a distance of 10 cm, but the tree grew on every day 20 cm, equally distributed along its whole length.
Did the bug ever got to the top of the tree ? If yes, how many nights (rounded to the nearest 100) did the bug need ?
Note: If you think the bug never reaches the top enter: 0 as a result.
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Below the numeric evaluation for clarification