YoussefObama's blog

[Help] Range = sqrt(sum)
By YoussefObama, 10 months ago, In English

How did people solve this problem based on the fact that

max(a_1, a_2, ..., a_n) — min(a_1, a_2, ..., a_n) = x where a_1 + a_2 + ... + a_n = x^2

how is this correct?

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10 months ago, # |
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It is not coreect for all {a_i}. The problem statement is to find such {a_i}

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    10 months ago, # ^ |
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    yes but what if a_1 = 1/a_2 that would make the relation inversely quadratic

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      10 months ago, # ^ |
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      How. a_i are positive integers. How a_1 = 1/a_2? Alse read the official solution

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        10 months ago, # ^ |
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        1/integer = inverse of integer quadratic generating function

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10 months ago, # |
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x = max(array) $$$-$$$ min(array) = sqrt(sum)
Then x^2 = sqrt(sum)^2 = sum

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