In the given statement: "In any society that values liberty and regards it as a right, punishment will be viewed very seriously, to be __________ only if a very good justification for it is __________.", we need to fill in the blanks with words that both fit grammatically and make logical sense within the context of the sentence.
The following options are provided:
Analyzing each option:
Thus, the correct answer is meted ....... tendered because these words appropriately and accurately complement the context of punishment needing a formal justification.


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: