Mr Scrooge busy man decide count time waste sort useless stuff evaluate lose profit he count time waste sleep eat and Mr Scrooge want count time waste signing papersmr Scrooges signature represent polyline a1a2 an Scrooge sign like place pen point A1 draw segment point A1 point A2 draw segment point A2 point a3 point an stop sign take pen paper at result line intersect partially repeat Scrooge pay attention change sign style as Scrooge make signature take pen paper write speed constant 50 millimeter secondScrooge sign exactly k paper life signature look samefind total time Scrooge waste signing paper