Question: this is a divide-and-conquer algorithm to find the subset of points that are Pareto-optimal. if n==1: return(x1, y1) m=n/2 L={(x1,y1),...,(xm,ym)} U={(xm+1,ym+1),...,(xn,yn)}PL=ParetoOptimal(L) PU=ParetoOptimal(U) create empty listPO

this is a divide-and-conquer algorithm to find the subset of points that are Pareto-optimal.

if n==1:

return(x1, y1)

m=n/2

L={(x1,y1),...,(xm,ym)}

U={(xm+1,ym+1),...,(xn,yn)}PL=ParetoOptimal(L)

PU=ParetoOptimal(U)

create empty listPO

ymax = 0

for(xU,yU) inPU:

ymax =maximum(yU,ymax)for(xL,yL)inPL:

ifyLymax:

delete(xL, yL) fromP L

returnPLPU

It would be great if you could give a recurrence for the time taken by the above algorithm ,and solve it up to order.

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