Problem K
Knot Knowledge — Problem Statistics

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Submissions	8026
Accepted submissions	4528
Submission ratio	56.42%
Authors	4174
Full solves [?]	3984
Full solve Ratio	95.45%

#	User	Runtime	Language	Date
1	Max NC	0.01 s	APL	2023-09-11 22:54:12
2	Thomas Feld	0.01 s	APL	2023-09-12 11:04:21
3	Edson Alves	0.01 s	APL	2024-12-30 21:33:35
4	Matzuka	0.01 s	APL	2025-03-18 22:03:43

#	User	Runtime	Language	Date
1	Chenzhang Hu	0.01 s	Bash	2025-09-12 15:13:30
2	Thomas Feld	0.06 s	Bash	2023-09-27 10:37:40

#	User	Runtime	Language	Date
1	Tomas Vainoris	0.02 s	C#	2021-10-09 11:16:05
2	Benny Antonsson	0.02 s	C#	2021-10-13 14:52:33
3	Per Wendt	0.02 s	C#	2021-10-15 17:40:34
4	Alexander Hjelmgaard	0.02 s	C#	2021-10-17 17:15:11
5	Toby Maynard	0.02 s	C#	2021-11-24 18:10:29
6	Nikolai Valkamo	0.02 s	C#	2021-12-26 23:23:01
7	Victor Hultén Mattsson	0.02 s	C#	2022-02-07 17:09:07
8	Cameron Crow	0.02 s	C#	2022-03-25 20:48:38
9	Slimlix	0.02 s	C#	2022-04-04 16:19:44
10	brett warrender	0.02 s	C#	2022-04-24 02:50:51

#	User	Runtime	Language	Date
1	Ralf Jonas	0.01 s	Common Lisp	2023-09-08 08:21:11
2	yraten	0.01 s	Common Lisp	2024-04-15 22:53:16
3	Norvell Spearman	0.03 s	Common Lisp	2024-12-17 07:01:58

#	User	Runtime	Language	Date
1	Christoforos Pantazi	0.01 s	Dart	2023-09-11 16:17:42

#	User	Runtime	Language	Date
1	Magnus Baasch Langkilde	0.32 s	Erlang	2025-07-12 12:39:01

#	User	Runtime	Language	Date
1	Jacob Harris Cryer Kragh	0.04 s	F#	2022-05-28 10:31:41
2	Stefan Schmiedl	0.06 s	F#	2024-08-26 18:30:18
3	Elias Smedegaard	0.08 s	F#	2023-11-18 12:09:09

#	User	Runtime	Language	Date
1	Diego Saldias	0.00 s	Go	2023-10-30 20:06:52
2	Deci Bel	0.00 s	Go	2024-04-29 17:36:16
3	keyansheng	0.00 s	Go	2025-04-17 22:48:05
4	Michael Johansson	0.02 s	Go	2022-09-26 22:26:02
5	Maxime Havez	0.02 s	Go	2022-10-07 17:41:33
6	Thomas Sørup Bavnhøj	0.02 s	Go	2022-10-07 17:55:04
7	Krzysztof Gibuła	0.02 s	Go	2022-11-19 15:03:28
8	Jahid Hasan Imon	0.02 s	Go	2022-11-22 14:35:07
9	Jimmy Nejtron	0.02 s	Go	2022-12-29 08:29:20
10	Hidden user	0.07 s	Go	2021-12-17 09:59:01

#	User	Runtime	Language	Date
1	Guangyi Zhou	0.04 s	Java	2025-01-20 15:13:17
2	Daniel Anker Hermansen	0.04 s	Java	2025-08-28 10:18:10
3	Martin Due	0.04 s	Java	2025-09-03 16:43:56
4	Simon Michelsen	0.04 s	Java	2025-09-03 16:46:03
5	Gustav Godsk	0.04 s	Java	2025-09-03 16:46:53
6	Rares Jeler	0.04 s	Java	2025-09-03 17:05:11
7	Lee Heng Sheng	0.05 s	Java	2024-04-14 07:26:01
8	Markus Bao	0.05 s	Java	2025-06-04 00:09:23
9	Asmus Tørsleff	0.06 s	Java	2021-10-09 11:07:11
10	Markus Olsson	0.06 s	Java	2021-10-09 11:12:22

#	User	Runtime	Language	Date
1	Christopher Churchwell	0.05 s	JavaScript (Node.js)	2023-11-24 16:52:03
2	Yassin Swag	0.05 s	JavaScript (Node.js)	2023-12-01 11:08:22
3	Faisal Rahman	0.05 s	JavaScript (Node.js)	2024-01-31 23:29:16
4	Ida Pylvänäinen	0.05 s	JavaScript (Node.js)	2024-03-26 16:00:28
5	Hidden user	0.05 s	JavaScript (Node.js)	2024-08-21 20:31:22
6	Hy Huynh	0.06 s	JavaScript (Node.js)	2023-09-21 02:20:03
7	John	0.09 s	JavaScript (Node.js)	2022-07-15 02:40:30
8	Max Zheng	0.42 s	JavaScript (Node.js)	2021-10-23 20:42:39
9	Peter Kedemo	0.42 s	JavaScript (Node.js)	2022-01-02 12:50:26
10	Chris Wong	0.42 s	JavaScript (Node.js)	2022-01-12 15:16:10

#	User	Runtime	Language	Date
1	Bjørn Chr. Soltvedt	0.02 s	JavaScript (SpiderMonkey)	2021-10-10 21:24:50
2	Peter Menyes	0.02 s	JavaScript (SpiderMonkey)	2021-10-10 22:04:55
3	Tyler VanHaren	0.02 s	JavaScript (SpiderMonkey)	2022-06-04 18:24:55
4	Håkan Lindahl	0.02 s	JavaScript (SpiderMonkey)	2022-06-15 23:54:23
5	Jimmy Gustafsson	0.02 s	JavaScript (SpiderMonkey)	2022-08-16 10:01:05
6	Alexander Vestin	0.02 s	JavaScript (SpiderMonkey)	2022-10-16 16:09:04
7	Christian Cederquist	0.02 s	JavaScript (SpiderMonkey)	2022-11-09 17:00:18
8	Simon Titkó	0.02 s	JavaScript (SpiderMonkey)	2023-11-23 17:29:17
9	Evan Magill	0.02 s	JavaScript (SpiderMonkey)	2024-04-07 06:10:37
10	Ben Armstrong	0.02 s	JavaScript (SpiderMonkey)	2025-06-30 17:21:20

#	User	Runtime	Language	Date
1	Timothy Gaede	0.59 s	Julia	2024-03-18 20:06:35
2	Danny Robinson	0.64 s	Julia	2023-09-01 00:19:01

#	User	Runtime	Language	Date
1	Nicholas Johnson	0.14 s	Kotlin	2022-02-06 22:36:36
2	Jacob Huebner	0.15 s	Kotlin	2022-02-07 19:16:18
3	Ola Sundell	0.18 s	Kotlin	2021-10-19 09:51:49
4	Jesper Dahl Norgård	0.18 s	Kotlin	2022-06-07 12:24:35
5	Alan Pramuk	0.19 s	Kotlin	2022-08-02 16:06:05
6	Taylor South	0.19 s	Kotlin	2023-02-28 23:08:31
7	Chris Johnson	0.19 s	Kotlin	2023-04-23 03:04:50
8	Adam Rankin	0.19 s	Kotlin	2023-04-27 03:03:36
9	Emil Wihlander	0.19 s	Kotlin	2023-07-24 16:59:05
10	Troy Warmboe	0.20 s	Kotlin	2021-10-11 22:24:06

#	User	Runtime	Language	Date
1	Hovig Manjikian	0.00 s	OCaml	2022-04-16 20:11:36
2	Felix Berg	0.00 s	OCaml	2025-09-10 16:46:05

#	User	Runtime	Language	Date
1	Hidden user	0.00 s	Odin	2025-04-21 04:49:05

#	User	Runtime	Language	Date
1	Ingemar Ragnemalm	0.00 s	Pascal	2021-12-10 08:03:37
2	David Connolly	0.00 s	Pascal	2022-04-04 19:40:34

#	User	Runtime	Language	Date
1	Saito Ta	0.01 s	Perl	2024-03-29 03:25:24

#	User	Runtime	Language	Date
1	Renate	0.01 s	PHP	2021-11-13 21:44:17
2	Andre Wahyudi	0.01 s	PHP	2022-09-20 03:34:34

#	User	Runtime	Language	Date
1	Andriy Zyevakov	0.02 s	Prolog	2022-12-11 12:44:18
2	Hakan Kjellerstrand	0.02 s	Prolog	2023-01-19 20:46:13

#	User	Runtime	Language	Date
1	Hasan Kalzi	0.02 s	Python 2	2022-06-18 11:34:42
2	Ragur Krishnan	0.02 s	Python 2	2022-06-28 22:21:58
3	Andrei Stoica	0.03 s	Python 2	2021-10-09 11:07:46
4	Andrei Stoica	0.03 s	Python 2	2021-10-10 22:34:37
5	Johan Lyts	0.03 s	Python 2	2021-10-11 20:51:23
6	Yanmarshus Bachtiar	0.03 s	Python 2	2021-10-30 13:40:49
7	Andreas Björklund	0.03 s	Python 2	2021-10-31 21:49:00
8	Olav Røthe Bakken	0.03 s	Python 2	2021-11-06 11:44:06
9	Agis Daniels	0.03 s	Python 2	2021-12-13 13:45:48
10	Gibransyah	0.03 s	Python 2	2022-03-17 05:23:20

#	User	Runtime	Language	Date
1	Carl Harrison	0.04 s	Python 3	2022-06-05 20:17:24
2	Aakanksha Khandwaha	0.04 s	Python 3	2022-06-06 04:33:30
3	András Biczó	0.04 s	Python 3	2022-06-14 11:22:56
4	Anunay Sharma	0.04 s	Python 3	2022-06-18 10:03:40
5	Hasan Kalzi	0.04 s	Python 3	2022-06-18 11:34:20
6	Kai Yi Lam	0.04 s	Python 3	2022-06-19 11:39:15
7	William L Thomson Jr	0.04 s	Python 3	2022-06-19 17:19:52
8	Nguyen An	0.04 s	Python 3	2022-06-21 05:01:52
9	David Allebeck	0.04 s	Python 3	2022-06-21 16:55:08
10	Michael Liu	0.04 s	Python 3	2022-06-24 08:47:17

#	User	Runtime	Language	Date
1	Hidden user	0.05 s	Ruby	2021-10-10 11:41:19
2	Régis Hanol	0.05 s	Ruby	2022-01-09 15:36:08
3	TobiasZ	0.05 s	Ruby	2022-01-20 19:19:38
4	Miorel Palii	0.05 s	Ruby	2022-03-07 02:14:28
5	Patrick Elsen	0.05 s	Ruby	2022-09-09 15:04:26
6	Andreas Severin Hauch Trøstrup	0.05 s	Ruby	2022-10-07 17:33:36
7	Frederik Spang	0.05 s	Ruby	2022-10-08 17:47:43
8	Thomas Feld	0.06 s	Ruby	2022-11-01 23:11:02
9	dick move	0.06 s	Ruby	2022-11-13 20:25:50
10	Eugen Neagoe	0.06 s	Ruby	2023-04-20 23:38:02

#	User	Runtime	Language	Date
1	Jhony Andreas	0.05 s	Visual Basic	2023-07-08 19:50:54

#	User	Runtime	Language	Date
1	Grettir Heimisson	0.00 s	Zig	2025-06-18 14:49:34
2	Mathias Bøttger	0.00 s	Zig	2025-09-03 17:24:42

#	User	Length	Language	Date
1	Max NC	20	APL	2023-09-11 22:54:12
2	Thomas Feld	20	APL	2023-09-12 11:58:20
3	Matzuka	36	APL	2025-03-18 22:03:43
4	Edson Alves	41	APL	2024-12-30 21:33:35

#	User	Length	Language	Date
1	Chenzhang Hu	23	Bash	2025-09-12 15:13:30
2	Thomas Feld	26	Bash	2023-09-27 10:37:40

#	User	Length	Language	Date
1	Martin Blom	92	C	2023-09-17 19:36:45
2	Lawry Sorenson	100	C	2023-01-12 01:19:24
3	Benjamin Iserman	100	C	2023-03-28 23:20:44
4	Sawyer Frie	118	C	2023-03-31 00:44:09
5	Johan Westerlund	192	C	2021-10-10 16:38:34
6	James Christian Ruiz	203	C	2022-12-29 05:34:38
7	Matthew Weston	219	C	2022-01-03 01:02:21
8	huy lý	219	C	2022-09-22 08:10:14
9	Ryan O'Hara	240	C	2022-02-13 09:51:35
10	Charlie Solve	263	C	2023-01-08 22:26:05

#	User	Length	Language	Date
1	Gregory Sinclair	156	C#	2023-11-04 21:04:09
2	Mikael Palokangas	160	C#	2023-08-07 19:50:23
3	Aiden Bilyeu	184	C#	2023-02-19 03:11:46
4	Pontus Magnusson	259	C#	2024-03-26 22:53:38
5	Esty Crow	292	C#	2022-09-30 21:44:27
6	Theodore Glenn	321	C#	2023-02-19 02:57:32
7	svante	345	C#	2025-02-12 19:57:47
8	Hidden user	346	C#	2025-02-12 19:31:32
9	Ahmet Murat Gençay	356	C#	2023-09-02 04:51:48
10	Benjamin Bilbeau	396	C#	2023-09-06 18:12:25

#	User	Length	Language	Date
1	Marshall D Feng	81	C++	2025-04-14 06:14:18
2	Zacaria Tawfick	83	C++	2025-04-14 15:32:00
3	Lawry Sorenson	104	C++	2023-01-12 01:20:54
4	Martin Blom	113	C++	2023-09-17 19:45:48
5	Jordan A Hopkins	123	C++	2023-07-25 20:11:40
6	Daniel Rasmussen	157	C++	2023-05-19 09:39:05
7	Osama Albahrani	165	C++	2023-07-16 04:52:43
8	Elias Lolck	174	C++	2022-08-13 19:05:29
9	Shang Zhou	177	C++	2021-12-29 06:32:55
10	Yeung Man Tsung	177	C++	2022-11-18 13:14:48

#	User	Length	Language	Date
1	yraten	224	Common Lisp	2024-04-15 22:53:16
2	Ralf Jonas	230	Common Lisp	2023-09-08 08:21:11
3	Norvell Spearman	695	Common Lisp	2024-12-17 07:01:58

#	User	Length	Language	Date
1	Christoforos Pantazi	295	Dart	2023-09-11 16:17:42

#	User	Length	Language	Date
1	Magnus Baasch Langkilde	630	Erlang	2025-07-12 12:39:01

#	User	Length	Language	Date
1	Stefan Schmiedl	218	F#	2024-08-26 18:30:18
2	Jacob Harris Cryer Kragh	243	F#	2022-05-28 10:31:41
3	Elias Smedegaard	812	F#	2023-11-18 12:09:09

#	User	Length	Language	Date
1	Jahid Hasan Imon	177	Go	2022-11-22 14:35:07
2	Hidden user	268	Go	2021-10-14 17:13:44
3	Diego Saldias	325	Go	2023-10-30 20:06:52
4	Thomas Sørup Bavnhøj	404	Go	2022-10-07 17:55:04
5	Hidden user	410	Go	2021-12-17 09:59:01
6	Krzysztof Gibuła	524	Go	2022-11-19 15:03:28
7	keyansheng	536	Go	2025-04-17 22:48:05
8	Andreas Gottschalk Krath	555	Go	2022-04-10 22:55:49
9	Michael Johansson	580	Go	2022-09-26 22:26:02
10	Norbert Voelker	659	Go	2021-10-14 22:23:33

#	User	Length	Language	Date
1	Herdi Saleh	73	Haskell	2025-05-10 01:37:25
2	Jannik Olbrich	99	Haskell	2023-06-07 17:08:33
3	Azeez Daoud	106	Haskell	2023-01-24 21:29:29
4	Øyvind Almli	112	Haskell	2021-10-13 12:51:58
5	Jahid Hasan Imon	133	Haskell	2022-11-22 11:46:02
6	Sebastian Banert	136	Haskell	2023-04-21 00:13:36
7	Phan Ngọc Tiên	146	Haskell	2022-03-20 04:02:08
8	Tim Put	148	Haskell	2021-10-17 23:05:56
9	Kristian Sørdal	157	Haskell	2023-01-13 12:51:43
10	Elizabeth Doughty	158	Haskell	2024-01-27 09:30:29

#	User	Length	Language	Date
1	Thomas King	319	Java	2024-06-17 18:41:04
2	Lim Ting Kai	327	Java	2023-05-21 19:23:12
3	Thanh Le	340	Java	2023-02-19 03:55:30
4	jin zhang	347	Java	2023-05-08 03:13:27
5	Mukund K Raman	351	Java	2021-10-23 20:49:43
6	Mads Voss Hvelplund	363	Java	2021-10-16 20:40:09
7	Hannah Mao	367	Java	2021-10-23 22:40:08
8	Jason Liu	368	Java	2023-05-05 16:55:08
9	Marshall D Feng	370	Java	2025-04-16 00:53:46
10	Huy Le	374	Java	2024-07-05 10:24:37

#	User	Length	Language	Date
1	Yassin Swag	349	JavaScript (Node.js)	2023-12-01 11:08:22
2	Peter Kedemo	356	JavaScript (Node.js)	2022-01-02 12:50:26
3	Hidden user	377	JavaScript (Node.js)	2023-02-02 20:46:28
4	Karim Dridi	383	JavaScript (Node.js)	2022-01-14 00:08:36
5	Christopher Churchwell	383	JavaScript (Node.js)	2023-11-24 16:52:03
6	Max Zheng	386	JavaScript (Node.js)	2021-10-23 20:42:39
7	Hy Huynh	539	JavaScript (Node.js)	2023-09-21 02:20:03
8	Niamh Limerick	606	JavaScript (Node.js)	2022-02-03 16:17:41
9	Chris Wong	632	JavaScript (Node.js)	2022-01-12 15:16:10
10	John	655	JavaScript (Node.js)	2022-07-15 02:40:30

#	User	Length	Language	Date
1	Christian Cederquist	83	JavaScript (SpiderMonkey)	2022-11-09 17:00:18
2	Jimmy Gustafsson	85	JavaScript (SpiderMonkey)	2022-08-25 21:42:20
3	Ben Armstrong	120	JavaScript (SpiderMonkey)	2025-06-30 17:21:20
4	Håkan Lindahl	188	JavaScript (SpiderMonkey)	2022-06-15 23:54:23
5	Peter Menyes	202	JavaScript (SpiderMonkey)	2021-10-10 22:04:55
6	Evan Magill	203	JavaScript (SpiderMonkey)	2024-04-07 06:10:37
7	Simon Titkó	220	JavaScript (SpiderMonkey)	2023-11-23 17:29:17
8	Tyler VanHaren	234	JavaScript (SpiderMonkey)	2022-06-04 18:24:55
9	Alexander Vestin	235	JavaScript (SpiderMonkey)	2022-10-16 16:09:04
10	Bjørn Chr. Soltvedt	247	JavaScript (SpiderMonkey)	2021-10-10 21:24:50

#	User	Length	Language	Date
1	Danny Robinson	46	Julia	2023-09-01 00:19:01
2	Timothy Gaede	571	Julia	2024-03-18 20:06:35

#	User	Length	Language	Date
1	Troy Warmboe	170	Kotlin	2021-10-11 22:24:06
2	Sergey Jakobsen	185	Kotlin	2021-10-17 00:38:57
3	Taylor South	189	Kotlin	2023-02-28 23:08:31
4	Emil Wihlander	237	Kotlin	2023-07-24 16:59:05
5	jonas lølanl	243	Kotlin	2024-03-07 20:40:20
6	Alan Pramuk	273	Kotlin	2022-08-02 16:06:05
7	Chris Johnson	298	Kotlin	2023-04-23 03:04:50
8	Jesper Dahl Norgård	314	Kotlin	2022-06-07 12:24:35
9	Zaw Myat	378	Kotlin	2024-03-19 10:23:38
10	Adam Rankin	425	Kotlin	2023-04-27 03:03:36

#	User	Length	Language	Date
1	Hovig Manjikian	407	OCaml	2022-04-16 20:11:36
2	Felix Berg	598	OCaml	2025-09-10 16:46:05

#	User	Length	Language	Date
1	Hidden user	437	Odin	2025-04-21 04:49:05

#	User	Length	Language	Date
1	Ingemar Ragnemalm	323	Pascal	2021-12-10 08:03:37
2	David Connolly	1010	Pascal	2022-04-04 19:40:34

#	User	Length	Language	Date
1	Saito Ta	28	Perl	2024-03-29 03:25:24

#	User	Length	Language	Date
1	Renate	207	PHP	2021-11-13 21:44:17
2	Andre Wahyudi	470	PHP	2022-09-20 03:34:34

#	User	Length	Language	Date
1	Hakan Kjellerstrand	101	Prolog	2023-03-23 20:04:27
2	Andriy Zyevakov	651	Prolog	2022-12-11 12:44:18

#	User	Length	Language	Date
1	Andreas Björklund	102	Python 2	2021-10-31 21:49:00
2	Ragur Krishnan	119	Python 2	2022-06-28 22:21:58
3	Johan Lyts	133	Python 2	2021-10-11 20:51:23
4	Gibransyah	148	Python 2	2022-03-17 05:23:20
5	Yanmarshus Bachtiar	166	Python 2	2021-10-30 13:40:49
6	Olav Røthe Bakken	170	Python 2	2021-11-06 11:44:06
7	Sivasankaran D	176	Python 2	2025-07-27 12:32:45
8	Andrei Stoica	227	Python 2	2021-10-10 22:34:37
9	Agis Daniels	267	Python 2	2021-12-13 13:45:48
10	Andrei Stoica	271	Python 2	2021-10-09 11:07:46

#	User	Length	Language	Date
1	Clement Oh	46	Python 3	2023-05-20 16:12:06
2	Zach Tschetter	49	Python 3	2022-11-19 03:48:23
3	Kevin Gomez	49	Python 3	2023-07-25 00:41:18
4	Carl Pittenger	49	Python 3	2024-03-24 09:30:18
5	Wouter Dijkstra	51	Python 3	2022-06-24 20:10:21
6	Gustav Elmqvist	51	Python 3	2023-04-28 20:17:35
7	Guk Yi Siong	55	Python 3	2023-04-07 10:23:52
8	Morten Clausen	56	Python 3	2022-10-07 17:32:22
9	Lily Gloudemans	56	Python 3	2023-04-04 23:19:02
10	Hidden user	57	Python 3	2025-01-17 00:41:59

#	User	Length	Language	Date
1	Thomas Feld	29	Ruby	2022-11-03 16:00:07
2	dick move	29	Ruby	2022-11-13 20:25:50
3	Gustav Elmqvist	31	Ruby	2023-04-28 20:22:36
4	Russell Ng	31	Ruby	2025-05-15 23:44:01
5	Frederik Spang	33	Ruby	2022-10-08 17:47:43
6	Andreas Severin Hauch Trøstrup	46	Ruby	2022-10-07 17:39:25
7	Alexander Bilde Pedersen	48	Ruby	2023-05-01 14:14:12
8	Patrick Elsen	57	Ruby	2022-09-09 15:04:26
9	Hidden user	62	Ruby	2021-10-10 11:41:19
10	Frederik Petersen	63	Ruby	2024-03-26 20:50:30

#	User	Length	Language	Date
1	Vincent Lagerros	222	Rust	2024-11-10 15:33:29
2	Bas Dirks	436	Rust	2021-12-30 16:41:39
3	Lily Gloudemans	494	Rust	2022-09-07 16:18:51
4	David Rasch	518	Rust	2021-10-12 13:41:53
5	Ulrich Johan Isachsen	534	Rust	2021-10-09 11:45:09
6	Simon Grünwald	539	Rust	2023-07-10 21:53:32
7	Kalle Vigren	571	Rust	2024-05-14 13:43:15
8	Hidden user	608	Rust	2022-09-06 23:35:46
9	Selim Yetkin	608	Rust	2023-08-12 00:53:04
10	Isak Jägberg	611	Rust	2021-12-30 16:48:00

#	User	Length	Language	Date
1	Jhony Andreas	548	Visual Basic	2023-07-08 19:50:54

#	User	Length	Language	Date
1	Grettir Heimisson	837	Zig	2025-06-18 14:49:34
2	Mathias Bøttger	1827	Zig	2025-09-03 17:24:42

Solution running time distribution