| No. | Nautanki | Duration | Show Times |
|---|---|---|---|
| 1 | Sati Savitri | 1 hr | 9 a.m. and 2 p.m. |
| 2 | Joru ka Ghulam | 1 hr | 10.30 a.m. and 11:30 a.m. |
| 3 | Sundar Kand | 30 min | 10 a.m. and 11 a.m. |
| 4 | Veer Abhimanyu | 1 hr | 10 a.m. and 11 a.m. |
| 5 | Reshma aur Shera | 1 hr | 9.30 a.m., 12 noon and 2 p.m. |
| 6 | Jhansi ki Rani | 30 min | 11 a.m. and 1:30 p.m. |
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: