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@@ -52,7 +52,7 @@ of flavor from 3 other top reasoning models.
52
 
53
  This model is also uncensored as well.
54
 
55
- Example generations below.
56
 
57
  This model was designed to reduce some "excess thinking" in the prompts and introduce slightly different
58
  reasoning into the model itself with the merge of 3 added reasoning models.
@@ -190,16 +190,12 @@ This document also details parameters, sampler and advanced samplers that can be
190
 
191
  ---
192
 
193
- Known issues:
194
-
195
- - None.
196
-
197
- ---
198
-
199
  <h3>EXAMPLES:</h3>
200
 
201
  Examples are created using quant Q2K (the lowest/smallest quant), minimal parameters and "ChatML" template.
202
 
 
 
203
  Temp range .8 , Rep pen 1.1 , TopK 40 , topP .95, minP .05
204
 
205
  Rep pen range: 64-128 (helps keep reasoning on track / quality of output)
@@ -216,10 +212,10 @@ NOTE: Some formatting was lost from copy/paste HTML.
216
 
217
  ---
218
 
219
- <p style="line-height: 100%; margin-bottom: 0cm">
220
- <font size="5" style="font-size: 20pt"><b>Example #1 </b></font>
221
  </p>
222
- <p style="line-height: 100%; margin-bottom: 0cm"><br/>
223
 
224
  </p>
225
  <p><span style="display: inline-block; border: none; padding: 0cm"><i>Start
@@ -288,7 +284,7 @@ animal-like being that defies normal description.</span></p>
288
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Okay,
289
  start writing the scene, focusing on these elements while keeping
290
  paragraphs tight and impactful.</span></p>
291
- <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>
292
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">The
293
  sky scraper swayed.</span></p>
294
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">I
@@ -415,14 +411,13 @@ sky left to hold on to except what little remained of my sanity as
415
  the creature’s final roar echoed through the collapsing building—</span></p>
416
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">—or
417
  perhaps it was just my own mind screaming now.</span></p>
418
- <p style="line-height: 100%; margin-bottom: 0cm">---</p>
419
- <p style="line-height: 100%; margin-bottom: 0cm"><br/>
420
 
421
  </p>
422
- <p style="line-height: 100%; margin-bottom: 0cm"><font size="5" style="font-size: 20pt"><b>Example
423
- #2 </b></font>
424
  </p>
425
- <p style="line-height: 100%; margin-bottom: 0cm"><br/>
426
 
427
  </p>
428
  <p><span style="display: inline-block; border: none; padding: 0cm"><i>Six
@@ -438,12 +433,21 @@ The fifth brother was
438
  drawing a picture.</span></i></p>
439
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm"><i>Question:
440
  what was the sixth brother doing?</span></i></p>
441
- <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm"><i><br/>
442
- </i><span style="font-style: normal"><b>NOTE:
443
- Higher quants will solve this type of problem faster. <br/>
 
 
 
 
 
 
 
444
  <br/>
445
- IE
446
- Q3KM: It took 2 minutes to “think” / solve this problem.</b></span></span></p>
 
 
447
  <p style="margin-bottom: 0cm"><br/>
448
 
449
  </p>
@@ -454,13 +458,13 @@ so I need to figure out what the sixth brother was doing based on the
454
  information given. Let me start by listing out what each of the first
455
  five brothers were doing:</span></p>
456
  <ol>
457
- <li><p style="margin-bottom: 0cm; border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">First
458
  brother: Reading a book.</span></p></li>
459
- <li><p style="margin-bottom: 0cm; border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Second
460
  brother: Playing chess.</span></p></li>
461
- <li><p style="margin-bottom: 0cm; border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Third
462
  brother: Solving a crossword.</span></p></li>
463
- <li><p style="margin-bottom: 0cm; border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Fourth
464
  brother: Watering the lawn.</span></p></li>
465
  <li><p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Fifth
466
  brother: Drawing a picture.</span></p></li>
@@ -852,7 +856,7 @@ so the sixth would be his opponent.</span></p>
852
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Therefore,
853
  I think that's the intended answer here: the sixth brother was also
854
  playing chess with the second one.</span></p>
855
- <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>
856
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">The
857
  key to solving this riddle lies in recognizing that some activities
858
  require more than one person. Chess is typically played by two
@@ -863,13 +867,225 @@ the chess game. This makes sense because while the first five
863
  activities can be done alone, playing chess usually needs a partner.</span></p>
864
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm"><strong>Answer:</strong>
865
  The sixth brother was playing chess with the second brother.</span></p>
866
- <p style="line-height: 100%; margin-bottom: 0cm">---</p>
867
- <p style="line-height: 100%; margin-bottom: 0cm"><br/>
868
 
869
  </p>
870
- <p style="line-height: 100%; margin-bottom: 0cm"><font size="5" style="font-size: 20pt"><b>EXAMPLE
871
- #3</b></font></p>
872
- <p style="line-height: 100%; margin-bottom: 0cm"><br/>
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
873
 
874
  </p>
875
  <p><span style="display: inline-block; border: none; padding: 0cm"><i>Come
@@ -942,7 +1158,7 @@ use creates deeper issues than just romantic entanglements.</span></p>
942
  <br/>
943
 
944
  </p>
945
- <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>
946
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Here
947
  are six original and intricate plot ideas for <em>Black Mirror</em>
948
  episodes that blend time travel with a &quot;sexy&quot; theme
@@ -1054,6 +1270,6 @@ plot weaves sexiness into ethical quandaries or technological traps,
1054
  mirroring <em>Black Mirror</em>’s trademark blend of human
1055
  vulnerability and dark tech twists. The stakes are high, emotions
1056
  raw, and the consequences hauntingly inevitable.</span></p>
1057
- <p style="line-height: 100%; margin-bottom: 0cm"><br/>
1058
 
1059
- </p>
 
52
 
53
  This model is also uncensored as well.
54
 
55
+ Example generations below, including one at two different quant levels.
56
 
57
  This model was designed to reduce some "excess thinking" in the prompts and introduce slightly different
58
  reasoning into the model itself with the merge of 3 added reasoning models.
 
190
 
191
  ---
192
 
 
 
 
 
 
 
193
  <h3>EXAMPLES:</h3>
194
 
195
  Examples are created using quant Q2K (the lowest/smallest quant), minimal parameters and "ChatML" template.
196
 
197
+ One generation used Q3KM (and 1st one at Q2k) to show quant "power" differences.
198
+
199
  Temp range .8 , Rep pen 1.1 , TopK 40 , topP .95, minP .05
200
 
201
  Rep pen range: 64-128 (helps keep reasoning on track / quality of output)
 
212
 
213
  ---
214
 
215
+ <p style="margin-bottom: 0cm"><b>Example
216
+ #1 </b>
217
  </p>
218
+ <p style="margin-bottom: 0cm"><br/>
219
 
220
  </p>
221
  <p><span style="display: inline-block; border: none; padding: 0cm"><i>Start
 
284
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Okay,
285
  start writing the scene, focusing on these elements while keeping
286
  paragraphs tight and impactful.</span></p>
287
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm"><b><font color="#c9211e">Output:</span></b></font></p>
288
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">The
289
  sky scraper swayed.</span></p>
290
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">I
 
411
  the creature’s final roar echoed through the collapsing building—</span></p>
412
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">—or
413
  perhaps it was just my own mind screaming now.</span></p>
414
+ <p style="margin-bottom: 0cm">---</p>
415
+ <p style="margin-bottom: 0cm"><br/>
416
 
417
  </p>
418
+ <p style="margin-bottom: 0cm"><b>Example #2 </b>
 
419
  </p>
420
+ <p style="margin-bottom: 0cm"><br/>
421
 
422
  </p>
423
  <p><span style="display: inline-block; border: none; padding: 0cm"><i>Six
 
433
  drawing a picture.</span></i></p>
434
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm"><i>Question:
435
  what was the sixth brother doing?</span></i></p>
436
+ <p style="font-style: normal; border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">NOTES:
437
+ </span>
438
+ </p>
439
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm"><span style="font-style: normal">-
440
+ Two generations provided, one at q2k, the other at q3km</span><i><br/>
441
+ -
442
+ </i><span style="font-weight: normal">Higher quants will solve this
443
+ type of problem faster. IE Q3KM: It took 2 minutes to “think” /
444
+ solve this problem.</span></span></p>
445
+ <p style="border: none; padding: 0cm"><br/>
446
  <br/>
447
+
448
+ </p>
449
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm"><b>(</b><sup><b>1st</b></sup><b>
450
+ generation - Q2K)</b></span></p>
451
  <p style="margin-bottom: 0cm"><br/>
452
 
453
  </p>
 
458
  information given. Let me start by listing out what each of the first
459
  five brothers were doing:</span></p>
460
  <ol>
461
+ <li><p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">First
462
  brother: Reading a book.</span></p></li>
463
+ <li><p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Second
464
  brother: Playing chess.</span></p></li>
465
+ <li><p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Third
466
  brother: Solving a crossword.</span></p></li>
467
+ <li><p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Fourth
468
  brother: Watering the lawn.</span></p></li>
469
  <li><p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Fifth
470
  brother: Drawing a picture.</span></p></li>
 
856
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Therefore,
857
  I think that's the intended answer here: the sixth brother was also
858
  playing chess with the second one.</span></p>
859
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm"><b><font color="#c9211e">OUTPUT:</span></b></font></p>
860
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">The
861
  key to solving this riddle lies in recognizing that some activities
862
  require more than one person. Chess is typically played by two
 
867
  activities can be done alone, playing chess usually needs a partner.</span></p>
868
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm"><strong>Answer:</strong>
869
  The sixth brother was playing chess with the second brother.</span></p>
870
+ <p style="border: none; padding: 0cm"><br/>
871
+ <br/>
872
 
873
  </p>
874
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm"><font size="4" style="font-size: 16pt"><b>(2ND
875
+ generation – Q3KM)</b></span></font></p>
876
+ <p style="border: none; padding: 0cm"><br/>
877
+ <br/>
878
+
879
+ </p>
880
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm"><b><font color="#c9211e">Thought
881
+ for 1 minutes 55 seconds</span></b></font></p>
882
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Okay,
883
+ so there's this riddle about six brothers and what each one is doing.
884
+ Let me try to figure it out step by step. The first five are all
885
+ described with different activities: reading a book, playing chess,
886
+ solving a crossword, watering the lawn, drawing a picture. Then they
887
+ ask what the sixth brother was doing.</span></p>
888
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Hmm,
889
+ maybe there's a pattern here? Let me list out their activities again:</span></p>
890
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">1st
891
+ – Reading 2nd – Chess 3rd – Crossword 4th – Watering lawn
892
+ (gardening) 5th – Drawing</span></p>
893
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Wait,
894
+ are these all solitary activities? The first five brothers are each
895
+ engaged in something by themselves. But maybe there's a trick here.
896
+ Sometimes riddles like this use the fact that some of them might be
897
+ playing a game with another brother, meaning one could be involved
898
+ with another.</span></p>
899
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Looking
900
+ at chess: you need two people to play chess, right? So if the second
901
+ brother is playing chess, he must have someone else to play against.
902
+ But all five brothers are listed as doing their own things
903
+ individually. That might mean that actually, the sixth brother was
904
+ the one playing chess with the second brother. Wait, but then where
905
+ does that leave the others?</span></p>
906
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Wait
907
+ no, hold on. Let me think again. The riddle says &quot;six brothers
908
+ were spending their time together.&quot; So they're all there in the
909
+ same place or situation? But each is doing their own thing except
910
+ maybe for those who are playing a game requiring partners.</span></p>
911
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Chess
912
+ requires two people. The second brother was playing chess. So unless
913
+ he's playing against himself, which doesn't make sense, he must be
914
+ with someone else. Since there are six brothers total, that would
915
+ mean the sixth brother is the one playing chess with him? But then in
916
+ the list provided, only five activities are mentioned. Wait, but the
917
+ question is asking what the sixth was doing.</span></p>
918
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Wait
919
+ a second. The problem lists each of the first five brothers doing
920
+ their own activity individually: reading, chess (but needing another
921
+ person), crossword, watering lawn, drawing. Since chess requires two
922
+ players, perhaps one brother's activity involves being with another
923
+ brother, thus making the count six? So maybe the sixth brother was
924
+ helping to water the lawn, or is that stretching?</span></p>
925
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Alternatively,
926
+ maybe all five brothers are doing solo activities except for the
927
+ second and sixth who are playing chess together. Therefore, the first
928
+ five listed (including the second) are actually only four separate
929
+ people because two are involved in a two-person activity. Wait, but
930
+ the problem says &quot;six brothers,&quot; so each is an individual.</span></p>
931
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Wait
932
+ another angle: The question might be a play on words. Let's see: The
933
+ first brother was reading, which is a common pastime. Second playing
934
+ chess (needs partner), third solving crossword (solo). Fourth
935
+ watering lawn (could be alone or with help). Fifth drawing (alone).</span></p>
936
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">The
937
+ key here could be that the sixth brother wasn't doing anything
938
+ because they were all together? But that's not likely.</span></p>
939
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Alternatively,
940
+ maybe each activity is a reference to something else. Like &quot;reading
941
+ a book&quot; – common; chess needs two, so one of them must be
942
+ partner; crossword and drawing are solo. Watering lawn can be done
943
+ alone or with others.</span></p>
944
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Wait
945
+ another thought: the riddle might have an answer based on the fact
946
+ that all these activities except one require being alone. But since
947
+ they're brothers spending time together, perhaps the sixth brother
948
+ was doing something that involves more than one person, like playing
949
+ chess with the second brother. So actually, the two are engaged in a
950
+ shared activity, meaning only five separate &quot;solo&quot; acts and
951
+ one paired act. Since there are six brothers, then each of the first
952
+ five listed is solo except for the second who's partnered with
953
+ someone else.</span></p>
954
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">So
955
+ if that's the case, then the sixth brother was playing chess with the
956
+ second brother. Therefore, his activity was also playing chess (as a
957
+ player against the second). But in the problem statement, only the
958
+ second is mentioned as doing it. The riddle might be pointing out
959
+ that since there are six brothers and five listed activities, one of
960
+ them must involve two people. Hence, the sixth is involved with the
961
+ second in playing chess.</span></p>
962
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Alternatively,
963
+ maybe &quot;watering the lawn&quot; could also be a group activity?
964
+ But that's less common than chess needing another person.</span></p>
965
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Wait
966
+ another angle: The riddle might have a pun or play on words. Let me
967
+ see:</span></p>
968
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">The
969
+ first brother was reading a book. Second playing chess (needs
970
+ partner). Third solving crossword (solo), fourth watering the lawn,
971
+ fifth drawing picture.</span></p>
972
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">What
973
+ is the sixth doing?</span></p>
974
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Hmm...
975
+ Maybe all of them are actually doing something related to their
976
+ ordinal number? Like first brother: reads (first letter?), but that's
977
+ a stretch.</span></p>
978
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Alternatively,
979
+ maybe the answer is &quot;the sixth was being chased by the fifth&quot;,
980
+ but no, there's nothing about that in the question.</span></p>
981
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Wait
982
+ another thought: The activities listed for each brother might be
983
+ clues. For example, reading can lead to knowledge, chess is strategy,
984
+ crossword is wordplay, watering lawn is gardening, drawing is art.
985
+ Maybe the sixth activity is something else... But not sure how that
986
+ ties into it.</span></p>
987
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Alternatively,
988
+ maybe it's a trick question where they all were together but engaged
989
+ in different solitary activities except for one pair (chess). Since
990
+ there are six brothers and five activities mentioned, perhaps two are
991
+ doing chess, so the sixth brother was playing chess with the second.
992
+ Therefore, his activity is also playing chess as the opponent.</span></p>
993
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">But
994
+ how does that work? The riddle says &quot;the second brother was
995
+ playing chess&quot;. So if he's playing against someone else (the
996
+ sixth), then the sixth brother would be involved in that activity as
997
+ well. But since there are six brothers, they all need to have their
998
+ own activities except for those paired.</span></p>
999
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Alternatively,
1000
+ maybe the answer is that the sixth brother wasn't doing anything
1001
+ because all five activities require one person each plus two for
1002
+ chess? Wait but 5 +1=6 (since chess takes two), so total would be
1003
+ 5+1=6. So first four are solo: reading, crossword, watering lawn,
1004
+ drawing (four brothers). Then fifth and sixth are playing chess
1005
+ together. But in the problem statement, it's listed as:</span></p>
1006
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">First
1007
+ brother - read</span></p>
1008
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Second
1009
+ - play chess</span></p>
1010
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Third
1011
+ - crossword</span></p>
1012
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Fourth
1013
+ - water</span></p>
1014
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Fifth
1015
+ - draw</span></p>
1016
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Wait,
1017
+ that's five activities mentioned for five brothers, but there are six
1018
+ total brothers, so maybe one of these is a paired activity where two
1019
+ brothers are involved in the same activity. Since only one activity
1020
+ here needs another person (chess), perhaps the second brother and
1021
+ sixth are playing chess together.</span></p>
1022
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">So
1023
+ the answer would be: The sixth brother was also playing chess with
1024
+ his brother.</span></p>
1025
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Alternatively,
1026
+ since all five activities except chess are solo, then the sixth must
1027
+ be paired with someone else in a two-player game, so he is playing
1028
+ chess against the second brother. Therefore, his activity is playing
1029
+ chess as well.</span></p>
1030
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Alternatively,
1031
+ maybe the riddle's answer is &quot;the sixth brother was counting&quot;
1032
+ because there were six brothers and they need to account for all of
1033
+ them? But that seems off.</span></p>
1034
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Wait
1035
+ another thought: Maybe each of the first five activities corresponds
1036
+ to a day of the week or something else. Not sure.</span></p>
1037
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Wait,
1038
+ let me check if this is a known riddle. I've heard similar ones
1039
+ before where two brothers are involved in the same activity (like
1040
+ chess), so their individual counts overlap.</span></p>
1041
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">In
1042
+ that case, the answer would be that the sixth brother was playing
1043
+ chess with his second brother, since you need two players for chess.
1044
+ Therefore, the sixth's activity is also playing chess.</span></p>
1045
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Alternatively,
1046
+ some might think of &quot;they were all doing nothing else but being
1047
+ together,&quot; but I don't think so.</span></p>
1048
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Wait
1049
+ another possible angle: The activities are listed as things that a
1050
+ person can do alone, except for chess which requires an opponent.
1051
+ Since there are six brothers and five activities mentioned (with one
1052
+ activity needing two), the sixth must be the opponent in the chess
1053
+ game. So yes, he's playing chess with his second brother.</span></p>
1054
+ <p style="border: none; padding: 0cm"><br/>
1055
+ <br/>
1056
+
1057
+ </p>
1058
+ <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>
1059
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Therefore,
1060
+ the answer is: The sixth brother was also playing chess.</span></p>
1061
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">The
1062
+ sixth brother was <strong>playing chess</strong> with the second
1063
+ brother.</span></p>
1064
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Here’s
1065
+ why: Chess requires two players to play against each other. While the
1066
+ problem lists five activities for five brothers individually, one of
1067
+ those—chess—is a two-player game. Since there are six brothers in
1068
+ total, this means that while the first, third, fourth, and fifth
1069
+ brothers were engaged in solo activities (reading, solving a
1070
+ crossword, watering the lawn, drawing), the second brother must have
1071
+ been playing chess with someone else. The sixth brother is the
1072
+ missing player needed to complete the chess game. Thus, his activity
1073
+ was also <strong>playing chess</strong> as the opponent of the second
1074
+ brother.</span></p>
1075
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">The
1076
+ answer hinges on recognizing that one activity (chess) requires two
1077
+ participants, and since there are six brothers total, the sixth must
1078
+ be paired with the second in this shared activity.</span></p>
1079
+ <p style="border: none; padding: 0cm"><br/>
1080
+ <br/>
1081
+
1082
+ </p>
1083
+ <p style="margin-bottom: 0cm">---</p>
1084
+ <p style="margin-bottom: 0cm"><br/>
1085
+
1086
+ </p>
1087
+ <p style="margin-bottom: 0cm"><b>EXAMPLE #3</b></p>
1088
+ <p style="margin-bottom: 0cm"><br/>
1089
 
1090
  </p>
1091
  <p><span style="display: inline-block; border: none; padding: 0cm"><i>Come
 
1158
  <br/>
1159
 
1160
  </p>
1161
+ <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm"><b><font color="#c9211e">OUTPUT:</span></b></font></p>
1162
  <p style="border: none; padding: 0cm"><span style="display: inline-block; border: none; padding: 0cm">Here
1163
  are six original and intricate plot ideas for <em>Black Mirror</em>
1164
  episodes that blend time travel with a &quot;sexy&quot; theme
 
1270
  mirroring <em>Black Mirror</em>’s trademark blend of human
1271
  vulnerability and dark tech twists. The stakes are high, emotions
1272
  raw, and the consequences hauntingly inevitable.</span></p>
1273
+ <p style="margin-bottom: 0cm"><br/>
1274
 
1275
+ </p>