
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The total distance of each route is, (i) $F \rightarrow R \rightarrow S \rightarrow G$ is $FR + RS + SG = 12 + 5 + 9 = 26 \text{ km}$, (ii) $F \rightarrow S \rightarrow G \rightarrow R$ is $FS + SG + GR = 5 + 9 + 12 = 26 \text{ km}$, (iii) $F \rightarrow R \rightarrow G \rightarrow S$ is $FR + RG + GS = 12 + 9 + 5 = 26 \text{ km}$, (iv) $F \rightarrow S \rightarrow R \rightarrow G$ is $FS + SR + RG = 5 + 12 + 9 = 26 \text{ km}$

Present the answer in LaTex format: \boxed{Your answer}
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