
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
Let $$\overline {abcd}$$, $$\overline {abc}$$, $$\overline {ab}$$, and $a$ represent a four-digit number, a three-digit number, a two-digit number, and a one-digit number, respectively, and they satisfy  
$$\overline {abcd} - \overline {abc} - \overline {ab} - a = 1787.$$ Find the four-digit number $$\overline {abcd}$$.

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