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修改MEMOIZED-CUT-ROD,使之不仅返回最优收益值

[问答题]
修改MEMOIZED-CUT-ROD,使之不仅返回最优收益值,还返回切割方案。
MEMOIZED-CUT-ROD(p,n)
let r[0..n] be a new array
for i = 0 to n
    r[i] = -\inf
return MEMOIZED-CUT-ROD-AUX(p,n,r)
MEMOIZED-CUT-ROD-AUX(p,n,r)
if r[n] >= 0
    return r[n]
if n == 0
    q = 0
else q = -\inf
    for i = 1 to n
        q = max(q,p[i]+MEMOIZED-CUT-ROD-AUX(p,n-i,r))
r[n] = q
return q

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