
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
With the number written on the board, it is allowed to perform one of the following operations:

1. Replace the original number with the difference between the number obtained by discarding the last four digits and the number composed of its last four digits (possibly written with leading zeros; the difference is taken positive - the smaller number is subtracted from the larger one).
   
2. If the original number contains three consecutive digits \( a > 0 \), \( b < 7 \), and \( c > 2 \) (in that exact order), it is allowed to replace them with the digits \( a-1 \), \( b+3 \), and \( c-3 \) respectively. If zeros appear at the beginning of the number as a result, they are discarded.

Initially, the number written on the board consisted of one hundred fives. In the end, a two-digit number remained. What is this number?

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