Question 7
Alice prepared fourteen gifts, each normally weighing exactly 100 g, but left her phone inside one. She keeps boxes in increasing label order, divides the selected group into two nearly equal consecutive parts, and weighs the first part. If it is heavier than its normal total, she keeps it; otherwise she keeps the second part. When the group size is odd, the first part has one fewer box. She repeats until one box remains.
In which listed box would the phone require the fewest weighings?
In which listed box would the phone require the fewest weighings?