2. Solve the following problems using secondary recurrences together with the op

Question

2. Solve the following problems using secondary recurrences together with the operator method discussed in class and given in the notes: (a) Page 536, exercise 36 (b) Derive all three cases of the Master Theorem on page 532 (we did part of this in class). (c) In the notes, the recurrence T(n) = Vn T(Vn) + n is solved by a recursion tree (page 13 of the notes) and again by the “guess-and-confirm” method in section 1.6.3. Solve it by means of a secondary recurrence (section 1.5.3), together with the operator method.

Explanation / Answer

package com;
public class DNode<T> {
private T data;
private DNode<T> prev, next;
public DNode(T d, DNode<T> p, DNode<T> n) {
data = d;
next = n;
prev = p;
}
public T getData() {
return data;
}
public DNode<T> getNext() {
return next;
}
public DNode<T> getPrev() {
return prev;
}
public void setData(T d) {
data = d;
}
public void setNext(DNode<T> n) {
next = n;
}
public void setPrev(DNode<T> p) {
prev = p;
}
}

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