문제<\/h2>
After a huge success of the last year's "K-Shaped Figures" problem, we've come up with an innovative "H-Shaped Figures" problem for this year. And we have some plans for the next 24 years.<\/em><\/p>
Let's say that three segments $P<\/mi>Q<\/mi><\/mrow>PQ<\/math><\/span><\/span> P<\/span> Q<\/span><\/span><\/span><\/span>, a<\/mi><\/mrow>a<\/math><\/span><\/span> a<\/span><\/span><\/span><\/span>, and b<\/mi><\/mrow>b<\/math><\/span><\/span> b<\/span><\/span><\/span><\/span> on a plane form an H-shaped figure<\/em> if:<\/p> point P<\/mi><\/mrow>P<\/math><\/span><\/span> P<\/span><\/span><\/span><\/span> lies strictly inside segment a<\/mi><\/mrow>a<\/math><\/span><\/span> a<\/span><\/span><\/span><\/span>, and segments point Q<\/mi><\/mrow>Q<\/math><\/span><\/span> Q<\/span><\/span><\/span><\/span> lies strictly inside segment b<\/mi><\/mrow>b<\/math><\/span><\/span> b<\/span><\/span><\/span><\/span>, and segments segments a<\/mi><\/mrow>a<\/math><\/span><\/span> a<\/span><\/span><\/span><\/span> and b<\/mi><\/mrow>b<\/math><\/span><\/span> b<\/span><\/span><\/span><\/span> do not have common points.<\/li>
<\/ul>$

H-Shaped Figures