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c < min(k,q)

In this situation we have

\begin{displaymath}
P'_{3}[i] = P_{2}[i] \quad (i \leq c) \end{displaymath}

P'3[c+1] = yc+1 > xc+1 = P2[c+1]

So P'3 > P2


Timothy Lewis
11/12/1997