Introduction:
The T-S diagram (Temperature-Entropy diagram) is a graphical representation that shows the thermodynamic processes occurring in a system. In this case, we are comparing the T-S diagrams of two different cycles for the operation of an engine.

Comparison of T-S diagrams:
Upon comparing the T-S diagrams of the two cycles, we can observe the following:

1. Area enclosed: The greater the area enclosed by the cycle on the T-S diagram, the greater the work done by the engine.

2. Efficiency: The efficiency of an engine is given by the ratio of the net work output to the heat input. A cycle with a larger area enclosed on the T-S diagram is generally expected to have a higher efficiency.

3. Expansion and compression: The shape of the expansion and compression processes on the T-S diagram can provide insights into the efficiency of the cycle. A more vertical expansion process and a more horizontal compression process are generally indicative of higher efficiency.

4. Heat addition and rejection: The points where heat is added and rejected in the cycle can also provide information about the efficiency. Heat addition at higher temperatures and heat rejection at lower temperatures generally result in higher efficiencies.

Conclusion:
Based on the above observations, we can conclude that the cycle with the greater area enclosed on the T-S diagram has the higher efficiency. This is because a larger area represents a greater amount of work done by the engine. Additionally, the shape of the expansion and compression processes, as well as the points of heat addition and rejection, can also provide insights into the efficiency of the cycle.

It is important to note that the specific details of the T-S diagrams and the numerical values of the parameters are not provided in the question. Therefore, a more specific and quantitative analysis cannot be performed. However, the general principles discussed above can be applied to compare the efficiency of the two cycles based on their T-S diagrams.