
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 container is initially filled with water. One quarter of the water is poured out first. Then, two thirds of the remainder is poured out. For the third pouring, half of the remainder is taken out, and for each subsequent pouring, the fraction of the remainder that is poured out decreases sequentially by an additional tenth (i.e., 0.1) from the previous fraction, until the sequence resets to half every fourth pouring. After how many pourings does exactly one fifth of the original water remain?
A) 6
B) 7
C) 8
D) 9
E) 10

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