
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
In order to glaze 15 windows of various sizes and shapes, 15 panes of glass have been prepared exactly according to the windows (each window requires one pane). The glazier, not knowing that the panes have been matched, works as follows: he approaches the next window and sifts through the unused panes until he finds one that is large enough (either exactly fitting or one that can be cut to fit). If he cannot find such a pane, he moves on to the next window, and so on, until all the windows have been approached. It is not allowed to assemble a pane from multiple parts. What is the maximum number of windows that can remain unglazed?

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