output/sample_spec_output.md

 # Paper 1 and Paper 2: Pure Mathematics  
![](/topic-extraction/1735ae4efca00dee8671c97e1a177e90944b62fa7bd8d53c48c040ea4e21f7f8.jpg)  
![](/topic-extraction/be2d2d250d82e414fcb5a6192dd3c3c5c99a0985140500305afd0de4952e8983.jpg)  
![](/topic-extraction/f3a5100efb727216b6a16d61ed5f68a2ae2a42f902c5c9e09ceefca899b32eae.jpg)  
![](/topic-extraction/42e24b0dc9c9f626f7055594c8c020a5fc8f9376dd0dd2900e4d03b47b0536bb.jpg)  
![](/topic-extraction/597f0eb70cb889f633c2b79a6113adfb1f5ceb35d6158f9628b51c46537d3da1.jpg)  
![](/topic-extraction/d60705c60460684834c804faaab3244fc0b79e11c83a5c6ffb362609b60ee0e6.jpg)  
![](/topic-extraction/8e007b4bfc29566954bd98a7c962a35025ce7a3080de9ce0c5b977e5162cc387.jpg)  
![](/topic-extraction/9d7e1d4fb02d83bf4dd35aae5d71370d068aba8c9a204b694c9e979fd4dfc9ff.jpg)  
![](/topic-extraction/dfe618c5f808cfd5273efc88db1e5bf9cf31399309b9ab2f134c04e920275714.jpg)  
![](/topic-extraction/783b544040b0bfe63ccd9603751fe55b601dfef98534c6a472f1aac4b3d9b865.jpg)  
![](/topic-extraction/a19704ca444f538d073dde0e859f5e8d10db8eaefa08e91f9343613534f7c9a2.jpg)  
![](/topic-extraction/9a7a89ef29074254be69210493504768fa6c96774ffff91504f7d1c80b600142.jpg)  
![](/topic-extraction/a9cad5a6804e1c5fca12f87bd43b0601975b4326b3483d66d21396b511aa4ba1.jpg)  
![](/topic-extraction/86162a5ce5300c0a2be58c1e36bce61c3a08bad6fb1dcaf23632a145676332b8.jpg)  
![](/topic-extraction/82aa856101fbedd4f456de3e149dfff1e0f6972b8c1e3820f94fc62d4341e9ab.jpg)  
![](/topic-extraction/700ee930d2b1cc81dd617f33a0461264ead90dc9200963f2e490d2df54b41f14.jpg)  
![](/topic-extraction/60c29216b5c0a2e19c9328bccf6ce25290446a996ca9cc92fceea58711e03f77.jpg)  
![](/topic-extraction/1cb3e959a761fcfbcc2a317451cf4742cfc6ee95a0eeb3257375c80c953bf73a.jpg)  
# Paper 3: Statistics and Mechanics  
![](/topic-extraction/c30c36fb210f3d9f9f56f823d7e50c8ace40ab25a6c38954fcad19f60663c7f3.jpg)  
![](/topic-extraction/08748ec00b16344413669fcc0b1665e066bc393de274ac63b2a5e88b4ec782e8.jpg)  
![](/topic-extraction/2593ea2dfce1f1c421cc420f7d31b52f80d8efaa5bc2f816eeee2e6169eae2ab.jpg)  
![](/topic-extraction/575f0d9292d45b9e94c5f428eaa48d2de44bad44e75f5b007bb44fdeb764fff5.jpg)  
![](/topic-extraction/43cb27d3a7aacb5a9a107014d7d4bcf89412901aa4d3fc225d5d86506c3b3c04.jpg)  
![](/topic-extraction/9c838091270939c1208f3771713b871b10ae59bdc72c432d77d2879ff02f428e.jpg)  
![](/topic-extraction/6f5b88842305bfa7fded68d32e996d9a2a5099ba33db6cf05532d68dbf6b00fe.jpg)  
![](/topic-extraction/bdcf58bbb2cb3ae6d0f43be5a5b350a3280b162945726a6295d4d49250149645.jpg)  
![](/topic-extraction/2ac2cd89e6a9b2288736037873ed54be84dedbb731d9352eb14687e1828f32cd.jpg)