We can end unsuccessful searches more quickly if we can presume that the keys in the list have been organised in some sort of order (for example, numerical or alphabetical order). If the smallest keys are located first, we may stop looking as soon as a key larger than or equal to the target key is discovered. What is the typical number of comparisons for failed search in this version if we assume that it is equally probable that a target key not in the list is in any one of the n + 1 intervals (before the first key, between a pair of subsequent keys, or after the last key)?

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