The reaction steps shown are:

The final product (P) is:
Step 1: Sodium Ethoxide Reaction.
Sodium ethoxide (Na-EtOH) promotes an elimination reaction, causing the pyridine to undergo dehydrohalogenation and generate a substituted intermediate.
Step 2: Methylation Reaction with CH3\(\text{I}\).
Methyl iodide (\(CH_3I\)) reacts with the nitrogen atom of pyridine, attaching a methyl group and forming a quaternary salt.
Step 3: Moist Silver Oxide and Heating.
Heating the reaction mixture with moist Ag\(_2\)O results in the formation of an intermediate susceptible to further rearrangement, driven by aromaticity.
Step 4: Reduction with Sodium Mercury.
Sodium amalgam (Na-Hg) in ethanol reduces the intermediate, yielding quinoline as the final product (P).
Final Answer: \[ \boxed{\text{Quinoline}} \]