It is given twelve balls of identical weight with the exception of one that is either heavier or lighter. Additionally, it is equipped with a dual-pan balance. Utilization of the balance in each instance You may place any number of the 12 balls on the left pan and the same number on the right pan, and then press a button to begin weighing; there are three potential outcomes: the weights are equal, the balls on the left are heavier, or the balls on the left are lighter. Create a technique for determining which ball is the odd one out and whether it is heavier or lighter than the others using the balance in the fewest feasible instances. Solve the issue of weighing 39 balls, one of which is known to be odd.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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It is given twelve balls of identical weight with the exception of one that is either heavier or lighter. Additionally, it is equipped with a dual-pan balance. Utilization of the balance in each instance You may place any number of the 12 balls on the left pan and the same number on the right pan, and then press a button to begin weighing; there are three potential outcomes: the weights are equal, the balls on the left are heavier, or the balls on the left are lighter. Create a technique for determining which ball is the odd one out and whether it is heavier or lighter than the others using the balance in the fewest feasible instances.

Solve the issue of weighing 39 balls, one of which is known to be odd.

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