
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
A person starts with $100 and makes $4$ bets, winning twice and losing twice, in a random sequence. With each bet, they wager half of the current amount. If the person wins, their amount doubles; however, if they lose, the amount decreases by $60\%$ of the wagered amount. Calculate the final amount if the wins occur first followed by the losses.
A) $280$
B) $196$
C) $220$
D) $245$

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