Problem 731. Given a window, how many subsets of a vector sum positive

Doug Hull

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Given a vector:

[1 0 -1 3 2 -3 1]

and a window of 2,

A sliding window would find:

   1 + 0 =  1
   0 - 1 = -1
  -1 + 3 =  2
   3 + 2 =  5
   2 - 3 = -1
  -3 + 1 = -2

Meaning that three of the windows were positive.

Given a vector and a window, how many of the windows sum to be positive, not zero or negative?

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Last Solution submitted on Apr 21, 2026

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Richard Zapor on 10 Jun 2012

I think test suite 3 produces 4 positives, not 3.

Aurelien Queffurust on 11 Jun 2012

I agree with the above comments

Doug Hull on 11 Jun 2012

Oops. Fixed. thank you.

Pavan Toraty on 25 Oct 2014

Test suite 3 doesn't seem to be correct. Total windows possible in this case is 2. How can number of positive windows be greater than that. Someone please clarify.

Shalexis Casimiro on 20 Dec 2017

cool

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