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The proof goes like 1. estimate a upper bound of and 2. find and that satisfies the constraint and achieves the upper bound.
Let's say (binary) and , then we can construct:
(put 1 at the most significant bit followed by 0s) and
(put 0 at the most significant bit followed by 1s)
so that . And the constraints are also satisfied.
Hope this example helps.
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Maximizing XOR
You are viewing a single comment's thread. Return to all comments →
The proof goes like 1. estimate a upper bound of and 2. find and that satisfies the constraint and achieves the upper bound.
Let's say (binary) and , then we can construct:
(put 1 at the most significant bit followed by 0s) and
(put 0 at the most significant bit followed by 1s)
so that . And the constraints are also satisfied.
Hope this example helps.