Question: For functions g 1 ,... ,gt , we define the function max( g 1 ,..., g t ) via [max( g 1 ,...,g t )](

For functionsg1,... ,gt, we define the function max(g1,..., gt) via

[max(g1,...,gt)](x) = max(g1(x),...,gt(x)).

Consider the following problem. You are givennpiecewise linear, continuous functionsf1,...,fndefined over the interval [0,t] for some integert. You are also given an integerB. You want to decide: Do there existkof the functionsfi1,...,fikso that

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