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This algorithm uses only one IE (k = 1) and is implemented in the n steps; at the same time, the segment AB is divided into n + 1 equal parts in the n steps, i.e., in this case, the (n, 1)-exactness of the (n, 1, S)-algorithm is determined by the following efficiency function:

It is important to emphasize that this measurement algorithm takes its origin in measurement praxis and has deep roots in ancient mathematics. It is this algorithm that underlies the Eudoxus exhaustion method and the Euclidean definition of the natural number:

which defines not only the natural numbers but also all the problems of the elementary theory of numbers, the foundations of which are set out in Euclid’s Elements.