The following graph gives the data about Foreign Equity Inflow (FEI) for the four countries for two years 97 and 98. FEI is taken as the ratio of foreign equity inflow to the country’s GDP, which is expressed as percentage in the graph. For answering you can use the data from the preceding questions.





For any natural number $k$, let $a_k = 3^k$. The smallest natural number $m$ for which \[ (a_1)^1 \times (a_2)^2 \times \dots \times (a_{20})^{20} \;<\; a_{21} \times a_{22} \times \dots \times a_{20+m} \] is: