You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \[ oxed{answer here} \] </answer>. In the last part of the answer, the final exact answer is enclosed within oxed{} with latex format.
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?
user
7
rule
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?
train