Using the same level order traversal (bottom up), calculating the
minimum flips to turn each internal node to given value (0/1).
On 2010-12-24 17:19, bittu wrote:
Boolean tree problem:
Each leaf node has a boolean value associated with it, 1 or 0. In
addition, each interior node has either an "AND" or an "OR" gate
associated with it. The value of an "AND" gate node is given by the
logical AND of its two children's values. The value of an "OR" gate
likewise is given by the logical OR of its two children's values. The
value of all of the leaf nodes will be given as input so that the
value of all nodes can be calculated up the tree.
It's easy to find the actual value at the root using level order
traversal and a stack(internal if used recursion).
Given V as the desired result i.e we want the value calculated at the
root to be V(0 or 1) what is the minimum number of gates flip i.e. AND
to OR or OR to AND be required at internal nodes to achieve that?
Also for each internal node you have boolean associated which tells
whether the node can be flipped or not. You are not supposed to flip a
non flippable internal node.
Regards
Shashank Mani Narayan
BIT Mesra
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