Complete the following reactions for the pyrolysis of $n$-hexane and kerosene:

(N/A) Pyrolysis is the thermal decomposition of higher alkanes into smaller alkanes,alkenes,and hydrogen at high temperatures.
For $n$-hexane $(C_6H_{14})$ at $773 \ K$:
$(i)$ $C_6H_{14} \xrightarrow{773 \ K} C_6H_{12} + H_2$
(ii) $C_6H_{14} \xrightarrow{773 \ K} C_4H_8 + C_2H_6$
(iii) $C_6H_{14} \xrightarrow{773 \ K} C_3H_6 + C_2H_4 + CH_4$
For kerosene (represented by dodecane,$C_{12}H_{26}$) at $973 \ K$ in the presence of $Pd, Pt, Ni$:
$C_{12}H_{26} \xrightarrow{973 \ K, Pd/Pt/Ni} C_7H_{16} + C_5H_{10} + \text{Other products}$