Add deepseek deep think

trees/uts-002I.tree

@@ -0,0 +1,25 @@
+\import{macros}
+% clifford hopf spin tt ag math draft tech exp notes
+\tag{tech}
+\tag{note}
+\tag{draft}
+
+\mdnote{deep think of Deepseek}{
+```
+Alright, I'm trying to prove that...So, first, I need to understand what is ...I know that...So, I need to show that...
+Wait, no, ... would mean ..., which actually means that ..... But I don't think that's true for ... in general.
+Maybe I misinterpreted the problem. Perhaps it means ... That sounds plausible.
+To approach this ....its structure is a bit more complicated, Another approach: perhaps consider ...
+So, if I can show that the ... in some way, that might be related. But I need to stick to .... So ... doesn't necessarily ....
+I'm getting confused. Let's try to think differently. ...
+Alternatively, maybe there's a more straightforward approach using the fact that ...
+This is getting too vague. I need to look for a different angle. Perhaps consider ...
+Therefore, unless there's some specific structure in ... that forces this to happen, it seems unlikely that ...I should look for counterexamples ...
+Alternatively, perhaps the problem is misphrased ... Perhaps there's a specific property or additional hypothesis that makes this statement true in certain cases. ....
+Given this confusion, I think the original problem statement might need to be re-examined or clarified. ...
+Perhaps the intended theorem was different, such as proving that  ... This would make sense, as  ... is known to be ...
+Given that, I can proceed to formalize that proof in Lean 4....
+```
+
+The [memo](https://x.com/_utensil_/status/1859603898119618623) is created based on the real trace above.
+}