Call to Code 2014 Round1 Solutions

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    X X

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    N N

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    N

    483

    10 = 48.3

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    N

    N

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    N

    N N

    N

    S

    S N N

    S N N

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    N

    N 1 N 1000

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    X (X 1) (X+ 1) X+ (X1) + (X+ 1) = 3 X N 3 X=N

    N

    N X N/3

    N

    N N

    N X N

    X (X+ 1) X (X 1)

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    T T+ D T+ 2 D

    M

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    T , D , M (1 T , D 100, 1 M 1000)

    D M

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    A1, A2, . . . AN N A1 AN

    Ri i

    Ri=

    3 A1, i

    3 A2+ 2 A1, i

    3 Ai+ 2 Ai1+ Ai2, i > 2

    N

    N 1 N 100 N A1, A2, . . . AN 1 Ai 100

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    N R1, R2, . . . RN N

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    n n 1 n i (2 i 1) 1

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    1 1 n(n >1)

    n 1 n n n

    n(1 n 100)

    n

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    n k n k

    k k i 2i 1

    i (n i)

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    105

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