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Mr Puppy

23/07/2018 at 10:34
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Let N be the largest number of region that can be formed by drawing 2016 straight lines on a plane. Find the sum of all digits of N.


number


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    Tôn Thất Khắc Trịnh 23/07/2018 at 16:04

    I won't take credit for this solution, as it goes to this website: https://www.cut-the-knot.org/proofs/LinesDividePlane.shtml
    Applying 2016 to the formula, we'll get 2033137 regions, which has the sum of digit be 19

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    Mr Puppy 24/07/2018 at 01:44

    Thank you!!!!! :D


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