He could see what he thought was a note attached to the front door. He made it down the stairs at a quickened pace, just to see that Laylah had excused herself for a morning jog, and that she would be back shortly."Ahhh. Okay." David sighed. "At least she has not left totally."David crumpled up the note and tossed it into the trash as he made his way into the kitchen. He has decided to put on a pot of coffee and wait for Laylah's return.The coffee was just about done when Laylah could be heard at the door. David quickly poured two cups of the hot beverage and went to stand by the door."Mmm. Thank m'lord. This is quite refreshing." Laylah smiled as she accepted her coffee and made her way into the kitchen to sit down."I am afraid I do not have much in ways of breakfast to offer. Just some cereal and toast." David said as he pulled a box of sugary cereal from the cupboard."Sounds nummy to me." Laylah smiled as she sipped her coffee.David and Laylah spent most of the morning talking.. “Right. Now we will try to formalize that process, in what we call a binary search algorithm. We split our array in half, and see which half our result lies in. We repeat the splitting in half process with the half that we know contains the result, and so on. At each stage, we have three options – our value equals the value at the middle point, and if so, we’ve found our answer. The middle value may be greater than our target value, and we now want to search between the previous lower limit and this middle point, or the middle value is less than our target value, and we search between the middle and the upper limit.“We also have to consider situations where the value we are looking for doesn’t exist; one method is before we start the iteration, if our target value is greater than the maximum value, or less than the minimum value, we don’t even have to search the array. But what if it is in between those two values, but there is no exact value in the array?”“I guess if we get to a.
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