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수악중독

HMMT 2015 Algebra #4 본문

HMMT/2015

HMMT 2015 Algebra #4

수악중독 2015.03.15 13:39

Compute the number of sequences of integers \((a_1, \; \cdots ,\; a_{200})\) such taht th following conditions hold.

  • \(0 \le a_1 < a_2 < \cdots < a_{200} \le 202\).

  • There exists a positive integer \(N\) with the following property: for every index \(i \in \{ 1, \; \cdots ,\; 200 \}\) there exists an index \( j \in \{1, \; \cdots ,\; 200\}\) such that \(a_i +a_j -N\) is divisible by \(203\).






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