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### 2018 BDMO NT exam P4

Posted: Thu Apr 12, 2018 3:43 pm
Let $n$ be an even positive integer. A sequence of $n$ real numbers is called complete if for every integer $m$ with $$1 \leq m \leq n$$ either the sum of the first $m$ terms or the sum of the last $m$ terms is integral. Determine the minimum number of the integers in a complete sequence of $n$ numbers.

### Re: 2018 BDMO NT exam P4

Posted: Sat Apr 14, 2018 8:21 pm
শুভ নববর্ষ ১৪২৫

### Re: 2018 BDMO NT exam P4

Posted: Mon Feb 18, 2019 11:51 pm
Ananya Promi wrote:
Thu Apr 12, 2018 3:43 pm
Let $n$ be an even positive integer. A sequence of $n$ real numbers is called complete if for every integer $m$ with $$1 \leq m \leq n$$ either the sum of the first $m$ terms or the sum of the last $m$ terms is integral. Determine the minimum number of the integers in a complete sequence of $n$ numbers.
Is this problem taken from National Math Camp question?