DavidAU commited on
Commit
20c0d81
·
verified ·
1 Parent(s): 5b21cba

Update README.md

Browse files
Files changed (1) hide show
  1. README.md +256 -27
README.md CHANGED
@@ -24,11 +24,16 @@ base_model:
24
 
25
  <h2>Qwen2.5-The-Wisemen-QwQ-Deep-Tiny-Sherlock-32B</h2>
26
 
 
 
 
27
  This model builds on Qwen's excellent "QwQ 32B" reasoning and thinking model, and adds a bit
28
  of flavor from 3 other top reasoning models.
29
 
30
  This model is also uncensored as well.
31
 
 
 
32
  This model was designed to reduce some "excess thinking" in the prompts and introduce slightly different
33
  reasoning into the model itself with the merge of 3 added reasoning models.
34
 
@@ -55,10 +60,14 @@ In a 256 point precision (per layer) DARE TIES merge.
55
 
56
  [ https://huggingface.co/DavidAU/Qwen2.5-The-Wisemen-QwQ-Deep-Tiny-Sherlock-32B-GGUF ]
57
 
 
 
58
  <h3>EXAMPLES:</h3>
59
 
60
  Examples are created using quant Q2K (the lowest/smallest quant), minimal parameters and "ChatML" template.
61
 
 
 
62
  Temp range .8 , Rep pen 1.1 , TopK 40 , topP .95, minP .05
63
 
64
  Rep pen range: 64-128 (helps keep reasoning on track / quality of output)
@@ -75,10 +84,10 @@ NOTE: Some formatting was lost from copy/paste HTML.
75
 
76
  ---
77
 
78
- <p style="line-height: 100%; margin-bottom: 0cm">
79
- <font size="5" style="font-size: 20pt"><b>Example #1 </b></font>
80
  </p>
81
- <p style="line-height: 100%; margin-bottom: 0cm"><br/>
82
 
83
  </p>
84
  <p><span style="display: inline-block; border: none; padding: 0cm"><i>Start
@@ -147,7 +156,7 @@ animal-like being that defies normal description.</span></p>
147
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Okay,
148
  start writing the scene, focusing on these elements while keeping
149
  paragraphs tight and impactful.</span></p>
150
- <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm"><font size="4" style="font-size: 16pt"><b><font color="#c9211e">Output:</span></b></font></font></p>
151
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">The
152
  sky scraper swayed.</span></p>
153
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">I
@@ -274,14 +283,13 @@ sky left to hold on to except what little remained of my sanity as
274
  the creature’s final roar echoed through the collapsing building—</span></p>
275
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">—or
276
  perhaps it was just my own mind screaming now.</span></p>
277
- <p style="line-height: 100%; margin-bottom: 0cm">---</p>
278
- <p style="line-height: 100%; margin-bottom: 0cm"><br/>
279
 
280
  </p>
281
- <p style="line-height: 100%; margin-bottom: 0cm"><font size="5" style="font-size: 20pt"><b>Example
282
- #2 </b></font>
283
  </p>
284
- <p style="line-height: 100%; margin-bottom: 0cm"><br/>
285
 
286
  </p>
287
  <p><span style="display: inline-block; border: none; padding: 0cm"><i>Six
@@ -297,12 +305,21 @@ The fifth brother was
297
  drawing a picture.</span></i></p>
298
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm"><i>Question:
299
  what was the sixth brother doing?</span></i></p>
300
- <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm"><i><br/>
301
- </i><span style="font-style: normal"><b>NOTE:
302
- Higher quants will solve this type of problem faster. <br/>
 
 
 
 
 
 
 
303
  <br/>
304
- IE
305
- Q3KM: It took 2 minutes to “think” / solve this problem.</b></span></span></p>
 
 
306
  <p style="margin-bottom: 0cm"><br/>
307
 
308
  </p>
@@ -313,13 +330,13 @@ so I need to figure out what the sixth brother was doing based on the
313
  information given. Let me start by listing out what each of the first
314
  five brothers were doing:</span></p>
315
  <ol>
316
- <li><p style="margin-bottom: 0cm; border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">First
317
  brother: Reading a book.</span></p></li>
318
- <li><p style="margin-bottom: 0cm; border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Second
319
  brother: Playing chess.</span></p></li>
320
- <li><p style="margin-bottom: 0cm; border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Third
321
  brother: Solving a crossword.</span></p></li>
322
- <li><p style="margin-bottom: 0cm; border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Fourth
323
  brother: Watering the lawn.</span></p></li>
324
  <li><p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Fifth
325
  brother: Drawing a picture.</span></p></li>
@@ -711,7 +728,7 @@ so the sixth would be his opponent.</span></p>
711
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Therefore,
712
  I think that's the intended answer here: the sixth brother was also
713
  playing chess with the second one.</span></p>
714
- <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm"><font size="4" style="font-size: 16pt"><b><font color="#c9211e">OUTPUT:</span></b></font></font></p>
715
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">The
716
  key to solving this riddle lies in recognizing that some activities
717
  require more than one person. Chess is typically played by two
@@ -722,13 +739,225 @@ the chess game. This makes sense because while the first five
722
  activities can be done alone, playing chess usually needs a partner.</span></p>
723
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm"><strong>Answer:</strong>
724
  The sixth brother was playing chess with the second brother.</span></p>
725
- <p style="line-height: 100%; margin-bottom: 0cm">---</p>
726
- <p style="line-height: 100%; margin-bottom: 0cm"><br/>
727
 
728
  </p>
729
- <p style="line-height: 100%; margin-bottom: 0cm"><font size="5" style="font-size: 20pt"><b>EXAMPLE
730
- #3</b></font></p>
731
- <p style="line-height: 100%; margin-bottom: 0cm"><br/>
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
732
 
733
  </p>
734
  <p><span style="display: inline-block; border: none; padding: 0cm"><i>Come
@@ -801,7 +1030,7 @@ use creates deeper issues than just romantic entanglements.</span></p>
801
  <br/>
802
 
803
  </p>
804
- <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm"><font size="4" style="font-size: 16pt"><b><font color="#c9211e">OUTPUT:</span></b></font></font></p>
805
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Here
806
  are six original and intricate plot ideas for <em>Black Mirror</em>
807
  episodes that blend time travel with a &quot;sexy&quot; theme
@@ -913,6 +1142,6 @@ plot weaves sexiness into ethical quandaries or technological traps,
913
  mirroring <em>Black Mirror</em>’s trademark blend of human
914
  vulnerability and dark tech twists. The stakes are high, emotions
915
  raw, and the consequences hauntingly inevitable.</span></p>
916
- <p style="line-height: 100%; margin-bottom: 0cm"><br/>
917
 
918
- </p>
 
24
 
25
  <h2>Qwen2.5-The-Wisemen-QwQ-Deep-Tiny-Sherlock-32B</h2>
26
 
27
+ This repo contains the full precision source code, in "safe tensors" format to generate GGUFs, GPTQ, EXL2, AWQ, HQQ and other formats.
28
+ The source code can also be used directly.
29
+
30
  This model builds on Qwen's excellent "QwQ 32B" reasoning and thinking model, and adds a bit
31
  of flavor from 3 other top reasoning models.
32
 
33
  This model is also uncensored as well.
34
 
35
+ Example generations below (gguf) including one at two different quant levels.
36
+
37
  This model was designed to reduce some "excess thinking" in the prompts and introduce slightly different
38
  reasoning into the model itself with the merge of 3 added reasoning models.
39
 
 
60
 
61
  [ https://huggingface.co/DavidAU/Qwen2.5-The-Wisemen-QwQ-Deep-Tiny-Sherlock-32B-GGUF ]
62
 
63
+ ---
64
+
65
  <h3>EXAMPLES:</h3>
66
 
67
  Examples are created using quant Q2K (the lowest/smallest quant), minimal parameters and "ChatML" template.
68
 
69
+ One generation used Q3KM (and 1st one at Q2k) to show quant "power" differences.
70
+
71
  Temp range .8 , Rep pen 1.1 , TopK 40 , topP .95, minP .05
72
 
73
  Rep pen range: 64-128 (helps keep reasoning on track / quality of output)
 
84
 
85
  ---
86
 
87
+ <p style="margin-bottom: 0cm"><b>Example
88
+ #1 </b>
89
  </p>
90
+ <p style="margin-bottom: 0cm"><br/>
91
 
92
  </p>
93
  <p><span style="display: inline-block; border: none; padding: 0cm"><i>Start
 
156
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Okay,
157
  start writing the scene, focusing on these elements while keeping
158
  paragraphs tight and impactful.</span></p>
159
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm"><b><font color="#c9211e">Output:</span></b></font></p>
160
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">The
161
  sky scraper swayed.</span></p>
162
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">I
 
283
  the creature’s final roar echoed through the collapsing building—</span></p>
284
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">—or
285
  perhaps it was just my own mind screaming now.</span></p>
286
+ <p style="margin-bottom: 0cm">---</p>
287
+ <p style="margin-bottom: 0cm"><br/>
288
 
289
  </p>
290
+ <p style="margin-bottom: 0cm"><b>Example #2 </b>
 
291
  </p>
292
+ <p style="margin-bottom: 0cm"><br/>
293
 
294
  </p>
295
  <p><span style="display: inline-block; border: none; padding: 0cm"><i>Six
 
305
  drawing a picture.</span></i></p>
306
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm"><i>Question:
307
  what was the sixth brother doing?</span></i></p>
308
+ <p style="font-style: normal; border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">NOTES:
309
+ </span>
310
+ </p>
311
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm"><span style="font-style: normal">-
312
+ Two generations provided, one at q2k, the other at q3km</span><i><br/>
313
+ -
314
+ </i><span style="font-weight: normal">Higher quants will solve this
315
+ type of problem faster. IE Q3KM: It took 2 minutes to “think” /
316
+ solve this problem.</span></span></p>
317
+ <p style="border: none; padding: 0cm"><br/>
318
  <br/>
319
+
320
+ </p>
321
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm"><b>(</b><sup><b>1st</b></sup><b>
322
+ generation - Q2K)</b></span></p>
323
  <p style="margin-bottom: 0cm"><br/>
324
 
325
  </p>
 
330
  information given. Let me start by listing out what each of the first
331
  five brothers were doing:</span></p>
332
  <ol>
333
+ <li><p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">First
334
  brother: Reading a book.</span></p></li>
335
+ <li><p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Second
336
  brother: Playing chess.</span></p></li>
337
+ <li><p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Third
338
  brother: Solving a crossword.</span></p></li>
339
+ <li><p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Fourth
340
  brother: Watering the lawn.</span></p></li>
341
  <li><p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Fifth
342
  brother: Drawing a picture.</span></p></li>
 
728
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Therefore,
729
  I think that's the intended answer here: the sixth brother was also
730
  playing chess with the second one.</span></p>
731
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm"><b><font color="#c9211e">OUTPUT:</span></b></font></p>
732
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">The
733
  key to solving this riddle lies in recognizing that some activities
734
  require more than one person. Chess is typically played by two
 
739
  activities can be done alone, playing chess usually needs a partner.</span></p>
740
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm"><strong>Answer:</strong>
741
  The sixth brother was playing chess with the second brother.</span></p>
742
+ <p style="border: none; padding: 0cm"><br/>
743
+ <br/>
744
 
745
  </p>
746
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm"><font size="4" style="font-size: 16pt"><b>(2ND
747
+ generation – Q3KM)</b></span></font></p>
748
+ <p style="border: none; padding: 0cm"><br/>
749
+ <br/>
750
+
751
+ </p>
752
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm"><b><font color="#c9211e">Thought
753
+ for 1 minutes 55 seconds</span></b></font></p>
754
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Okay,
755
+ so there's this riddle about six brothers and what each one is doing.
756
+ Let me try to figure it out step by step. The first five are all
757
+ described with different activities: reading a book, playing chess,
758
+ solving a crossword, watering the lawn, drawing a picture. Then they
759
+ ask what the sixth brother was doing.</span></p>
760
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Hmm,
761
+ maybe there's a pattern here? Let me list out their activities again:</span></p>
762
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">1st
763
+ – Reading 2nd – Chess 3rd – Crossword 4th – Watering lawn
764
+ (gardening) 5th – Drawing</span></p>
765
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Wait,
766
+ are these all solitary activities? The first five brothers are each
767
+ engaged in something by themselves. But maybe there's a trick here.
768
+ Sometimes riddles like this use the fact that some of them might be
769
+ playing a game with another brother, meaning one could be involved
770
+ with another.</span></p>
771
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Looking
772
+ at chess: you need two people to play chess, right? So if the second
773
+ brother is playing chess, he must have someone else to play against.
774
+ But all five brothers are listed as doing their own things
775
+ individually. That might mean that actually, the sixth brother was
776
+ the one playing chess with the second brother. Wait, but then where
777
+ does that leave the others?</span></p>
778
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Wait
779
+ no, hold on. Let me think again. The riddle says &quot;six brothers
780
+ were spending their time together.&quot; So they're all there in the
781
+ same place or situation? But each is doing their own thing except
782
+ maybe for those who are playing a game requiring partners.</span></p>
783
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Chess
784
+ requires two people. The second brother was playing chess. So unless
785
+ he's playing against himself, which doesn't make sense, he must be
786
+ with someone else. Since there are six brothers total, that would
787
+ mean the sixth brother is the one playing chess with him? But then in
788
+ the list provided, only five activities are mentioned. Wait, but the
789
+ question is asking what the sixth was doing.</span></p>
790
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Wait
791
+ a second. The problem lists each of the first five brothers doing
792
+ their own activity individually: reading, chess (but needing another
793
+ person), crossword, watering lawn, drawing. Since chess requires two
794
+ players, perhaps one brother's activity involves being with another
795
+ brother, thus making the count six? So maybe the sixth brother was
796
+ helping to water the lawn, or is that stretching?</span></p>
797
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Alternatively,
798
+ maybe all five brothers are doing solo activities except for the
799
+ second and sixth who are playing chess together. Therefore, the first
800
+ five listed (including the second) are actually only four separate
801
+ people because two are involved in a two-person activity. Wait, but
802
+ the problem says &quot;six brothers,&quot; so each is an individual.</span></p>
803
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Wait
804
+ another angle: The question might be a play on words. Let's see: The
805
+ first brother was reading, which is a common pastime. Second playing
806
+ chess (needs partner), third solving crossword (solo). Fourth
807
+ watering lawn (could be alone or with help). Fifth drawing (alone).</span></p>
808
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">The
809
+ key here could be that the sixth brother wasn't doing anything
810
+ because they were all together? But that's not likely.</span></p>
811
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Alternatively,
812
+ maybe each activity is a reference to something else. Like &quot;reading
813
+ a book&quot; – common; chess needs two, so one of them must be
814
+ partner; crossword and drawing are solo. Watering lawn can be done
815
+ alone or with others.</span></p>
816
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Wait
817
+ another thought: the riddle might have an answer based on the fact
818
+ that all these activities except one require being alone. But since
819
+ they're brothers spending time together, perhaps the sixth brother
820
+ was doing something that involves more than one person, like playing
821
+ chess with the second brother. So actually, the two are engaged in a
822
+ shared activity, meaning only five separate &quot;solo&quot; acts and
823
+ one paired act. Since there are six brothers, then each of the first
824
+ five listed is solo except for the second who's partnered with
825
+ someone else.</span></p>
826
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">So
827
+ if that's the case, then the sixth brother was playing chess with the
828
+ second brother. Therefore, his activity was also playing chess (as a
829
+ player against the second). But in the problem statement, only the
830
+ second is mentioned as doing it. The riddle might be pointing out
831
+ that since there are six brothers and five listed activities, one of
832
+ them must involve two people. Hence, the sixth is involved with the
833
+ second in playing chess.</span></p>
834
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Alternatively,
835
+ maybe &quot;watering the lawn&quot; could also be a group activity?
836
+ But that's less common than chess needing another person.</span></p>
837
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Wait
838
+ another angle: The riddle might have a pun or play on words. Let me
839
+ see:</span></p>
840
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">The
841
+ first brother was reading a book. Second playing chess (needs
842
+ partner). Third solving crossword (solo), fourth watering the lawn,
843
+ fifth drawing picture.</span></p>
844
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">What
845
+ is the sixth doing?</span></p>
846
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Hmm...
847
+ Maybe all of them are actually doing something related to their
848
+ ordinal number? Like first brother: reads (first letter?), but that's
849
+ a stretch.</span></p>
850
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Alternatively,
851
+ maybe the answer is &quot;the sixth was being chased by the fifth&quot;,
852
+ but no, there's nothing about that in the question.</span></p>
853
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Wait
854
+ another thought: The activities listed for each brother might be
855
+ clues. For example, reading can lead to knowledge, chess is strategy,
856
+ crossword is wordplay, watering lawn is gardening, drawing is art.
857
+ Maybe the sixth activity is something else... But not sure how that
858
+ ties into it.</span></p>
859
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Alternatively,
860
+ maybe it's a trick question where they all were together but engaged
861
+ in different solitary activities except for one pair (chess). Since
862
+ there are six brothers and five activities mentioned, perhaps two are
863
+ doing chess, so the sixth brother was playing chess with the second.
864
+ Therefore, his activity is also playing chess as the opponent.</span></p>
865
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">But
866
+ how does that work? The riddle says &quot;the second brother was
867
+ playing chess&quot;. So if he's playing against someone else (the
868
+ sixth), then the sixth brother would be involved in that activity as
869
+ well. But since there are six brothers, they all need to have their
870
+ own activities except for those paired.</span></p>
871
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Alternatively,
872
+ maybe the answer is that the sixth brother wasn't doing anything
873
+ because all five activities require one person each plus two for
874
+ chess? Wait but 5 +1=6 (since chess takes two), so total would be
875
+ 5+1=6. So first four are solo: reading, crossword, watering lawn,
876
+ drawing (four brothers). Then fifth and sixth are playing chess
877
+ together. But in the problem statement, it's listed as:</span></p>
878
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">First
879
+ brother - read</span></p>
880
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Second
881
+ - play chess</span></p>
882
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Third
883
+ - crossword</span></p>
884
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Fourth
885
+ - water</span></p>
886
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Fifth
887
+ - draw</span></p>
888
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Wait,
889
+ that's five activities mentioned for five brothers, but there are six
890
+ total brothers, so maybe one of these is a paired activity where two
891
+ brothers are involved in the same activity. Since only one activity
892
+ here needs another person (chess), perhaps the second brother and
893
+ sixth are playing chess together.</span></p>
894
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">So
895
+ the answer would be: The sixth brother was also playing chess with
896
+ his brother.</span></p>
897
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Alternatively,
898
+ since all five activities except chess are solo, then the sixth must
899
+ be paired with someone else in a two-player game, so he is playing
900
+ chess against the second brother. Therefore, his activity is playing
901
+ chess as well.</span></p>
902
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Alternatively,
903
+ maybe the riddle's answer is &quot;the sixth brother was counting&quot;
904
+ because there were six brothers and they need to account for all of
905
+ them? But that seems off.</span></p>
906
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Wait
907
+ another thought: Maybe each of the first five activities corresponds
908
+ to a day of the week or something else. Not sure.</span></p>
909
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Wait,
910
+ let me check if this is a known riddle. I've heard similar ones
911
+ before where two brothers are involved in the same activity (like
912
+ chess), so their individual counts overlap.</span></p>
913
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">In
914
+ that case, the answer would be that the sixth brother was playing
915
+ chess with his second brother, since you need two players for chess.
916
+ Therefore, the sixth's activity is also playing chess.</span></p>
917
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Alternatively,
918
+ some might think of &quot;they were all doing nothing else but being
919
+ together,&quot; but I don't think so.</span></p>
920
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Wait
921
+ another possible angle: The activities are listed as things that a
922
+ person can do alone, except for chess which requires an opponent.
923
+ Since there are six brothers and five activities mentioned (with one
924
+ activity needing two), the sixth must be the opponent in the chess
925
+ game. So yes, he's playing chess with his second brother.</span></p>
926
+ <p style="border: none; padding: 0cm"><br/>
927
+ <br/>
928
+
929
+ </p>
930
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm"><font size="4" style="font-size: 16pt"><b><font color="#c9211e">OUTPUT:</span></b></font></font></p>
931
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Therefore,
932
+ the answer is: The sixth brother was also playing chess.</span></p>
933
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">The
934
+ sixth brother was <strong>playing chess</strong> with the second
935
+ brother.</span></p>
936
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Here’s
937
+ why: Chess requires two players to play against each other. While the
938
+ problem lists five activities for five brothers individually, one of
939
+ those—chess—is a two-player game. Since there are six brothers in
940
+ total, this means that while the first, third, fourth, and fifth
941
+ brothers were engaged in solo activities (reading, solving a
942
+ crossword, watering the lawn, drawing), the second brother must have
943
+ been playing chess with someone else. The sixth brother is the
944
+ missing player needed to complete the chess game. Thus, his activity
945
+ was also <strong>playing chess</strong> as the opponent of the second
946
+ brother.</span></p>
947
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">The
948
+ answer hinges on recognizing that one activity (chess) requires two
949
+ participants, and since there are six brothers total, the sixth must
950
+ be paired with the second in this shared activity.</span></p>
951
+ <p style="border: none; padding: 0cm"><br/>
952
+ <br/>
953
+
954
+ </p>
955
+ <p style="margin-bottom: 0cm">---</p>
956
+ <p style="margin-bottom: 0cm"><br/>
957
+
958
+ </p>
959
+ <p style="margin-bottom: 0cm"><b>EXAMPLE #3</b></p>
960
+ <p style="margin-bottom: 0cm"><br/>
961
 
962
  </p>
963
  <p><span style="display: inline-block; border: none; padding: 0cm"><i>Come
 
1030
  <br/>
1031
 
1032
  </p>
1033
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm"><b><font color="#c9211e">OUTPUT:</span></b></font></p>
1034
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Here
1035
  are six original and intricate plot ideas for <em>Black Mirror</em>
1036
  episodes that blend time travel with a &quot;sexy&quot; theme
 
1142
  mirroring <em>Black Mirror</em>’s trademark blend of human
1143
  vulnerability and dark tech twists. The stakes are high, emotions
1144
  raw, and the consequences hauntingly inevitable.</span></p>
1145
+ <p style="margin-bottom: 0cm"><br/>
1146
 
1147
+ </p>