I Want Me Less Unit Squares

Denote \(u(s)\) as a function of the minimum number of unit squares that can be formed in a grid with semiperimeter \(s\) where \(s\in \mathbb Z^+\setminus\{1\}\) [for example, \(u(6)=5\)]. Find \(u(1153)\).

Clarification:

  • Unit square is a square with side 1.

This is one part of Quadrilatorics.
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