If $\text{SCREW}$ is written as $\text{RCSWE}$, then $\text{NAILS}$ will be written as:

Let's analyze the pattern by looking at the positions of letters in $\text{SCREW}$ changing to $\text{RCSWE}$:
Positions in original word ${\text{S}}_1{\text{C}}_2{\text{R}}_3{\text{E}}_4{\text{W}}_5$:

* $\text{R}$ (position 3) comes first.
* $\text{C}$ (position 2) comes second.
* $\text{S}$ (position 1) comes third.
* $\text{W}$ (position 5) comes fourth.
* $\text{E}$ (position 4) comes fifth.

So the rule for rearranging indices is: $(1,2,3,4,5)\to (3,2,1,5,4)$.

Let's apply this exact index transposition mapping to $\text{NAILS}$ where ${\text{N}}_1{\text{A}}_2{\text{I}}_3{\text{L}}_4{\text{S}}_5$:

* $3^{\text{rd}}$ letter is $\text{I}$
* $2^{\text{nd}}$ letter is $\text{A}$
* $1^{\text{st}}$ letter is $\text{N}$
* $5^{\text{th}}$ letter is $\text{S}$
* $4^{\text{th}}$ letter is $\text{L}$

Combining them in the $(3,2,1,5,4)$ order gives $\text{INALS}$.