Problem 44554. The maximum sum of squares

Created by ddd ppp

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Create a function file with an input maxval to determine the maximum number of terms for the series 1^2 + 2^2 + 3^2 + ... such that the sum is <= maxval. The function should return the number of terms. The function should return 13 when maxval=1000.

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Last Solution submitted on May 10, 2025

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David Verrelli on 14 Apr 2018

Hi, DP. You have created a nice problem here: well done. Could you please clarify/check/amend one detail though. In the Problem Statement it stipulates the sum must be that "less than" maxval. So if maxval=1, then the series would have no terms (hence sum=0); alternatively, if it had one term, then the sum (1²=1) would be "less than or equal to" maxval, as implied in the Test Suite. Thanks, DIV

David Verrelli on 3 May 2018

Thanks for the clarification!

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