Problem F
Kornislav — Problem Statistics

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Submissions	9092
Accepted submissions	5839
Submission ratio	64.22%
Authors	5626
Full solves [?]	5396
Full solve Ratio	95.91%

#	User	Runtime	Language	Date
1	Thomas Feld	0.01 s	APL	2023-08-29 13:29:50

#	User	Runtime	Language	Date
1	Chenzhang Hu	0.01 s	Bash	2023-10-04 08:38:00
2	Chandler McFarland	0.01 s	Bash	2025-03-12 17:01:11
3	Thomas Feld	0.06 s	Bash	2023-09-27 11:33:37

#	User	Runtime	Language	Date
1	masosz	0.02 s	C#	2015-04-15 19:11:59
2	Mads Storm Hansen	0.02 s	C#	2015-07-18 00:49:08
3	Jens Mossig	0.02 s	C#	2015-08-12 19:45:21
4	Taner Yavuz	0.02 s	C#	2015-09-21 21:21:02
5	Daniel Jansson	0.02 s	C#	2016-02-22 16:23:44
6	Andreas Jansson	0.02 s	C#	2016-02-29 17:09:04
7	Luiz Miranda	0.02 s	C#	2016-04-03 20:49:22
8	Raja Sanjeev Kumar Nakka	0.02 s	C#	2016-05-27 20:32:27
9	Faisal Rahman	0.02 s	C#	2016-06-08 05:39:27
10	Patrick Sjöö	0.02 s	C#	2016-06-15 12:13:28

#	User	Runtime	Language	Date
1	John Dandy	0.01 s	Common Lisp	2020-02-01 02:19:58
2	David Cawthon	0.01 s	Common Lisp	2020-07-11 16:30:21
3	wibi	0.01 s	Common Lisp	2020-08-21 18:36:29

#	User	Runtime	Language	Date
1	Jacob Harris Cryer Kragh	0.05 s	F#	2022-05-27 21:54:38
2	Jacob To	0.09 s	F#	2023-11-17 00:40:12

#	User	Runtime	Language	Date
1	Jonas Mittnacht	0.00 s	Go	2024-02-20 21:53:48
2	Yousif Ibrahim	0.00 s	Go	2024-03-25 12:08:38
3	Luna Johnson	0.00 s	Go	2025-01-28 00:10:43
4	Wojtek Bednarzak	0.01 s	Go	2020-01-19 15:18:23
5	Alejandro Germain	0.02 s	Go	2018-09-29 10:54:32
6	Krzysztof Gibuła	0.02 s	Go	2019-01-18 22:33:43
7	Jimmy Nejtron	0.02 s	Go	2023-02-15 16:13:35
8	Joel Petersson Klevje	0.07 s	Go	2021-05-27 01:52:36
9	Jonas Hedin	0.08 s	Go	2015-02-28 22:50:13
10	Hidden user	0.08 s	Go	2016-05-27 16:12:02

#	User	Runtime	Language	Date
1	Donald Trump	0.04 s	Java	2024-12-16 20:09:03
2	Guangyi Zhou	0.04 s	Java	2025-02-19 11:15:39
3	Daniel Gutierrez Duarte	0.04 s	Java	2025-02-23 18:20:56
4	Erik Odenman	0.05 s	Java	2013-03-20 17:29:04
5	Alexandre Loiko	0.05 s	Java	2013-03-20 17:32:38
6	Henrik Sandström	0.05 s	Java	2015-02-02 22:12:12
7	Nathaniel Lahn	0.05 s	Java	2015-08-28 17:49:24
8	Łukasz Antkowiak	0.05 s	Java	2015-09-12 02:24:32
9	Dennis Ang	0.05 s	Java	2015-09-24 10:43:32
10	Pål Forsberg	0.05 s	Java	2015-10-06 18:08:52

#	User	Runtime	Language	Date
1	Calvin Reibenspieß	0.04 s	JavaScript (Node.js)	2024-02-20 20:19:09
2	Hidden user	0.04 s	JavaScript (Node.js)	2024-09-24 05:06:02
3	Oussama	0.05 s	JavaScript (Node.js)	2018-10-24 15:12:39
4	Carl Sundvall	0.05 s	JavaScript (Node.js)	2018-10-25 19:13:18
5	Anh Lâm	0.05 s	JavaScript (Node.js)	2019-02-15 17:28:46
6	Gurpartap Singh Bhatti	0.05 s	JavaScript (Node.js)	2019-04-07 06:55:06
7	Sander Hellesø	0.05 s	JavaScript (Node.js)	2019-04-26 07:52:58
8	Hidden user	0.05 s	JavaScript (Node.js)	2019-07-03 11:59:33
9	Connor D	0.05 s	JavaScript (Node.js)	2024-09-27 10:18:11
10	José Lucas	0.06 s	JavaScript (Node.js)	2019-03-12 18:42:00

#	User	Runtime	Language	Date
1	Peter Kedemo	0.01 s	JavaScript (SpiderMonkey)	2015-12-25 19:39:44
2	Bjørn Chr. Soltvedt	0.01 s	JavaScript (SpiderMonkey)	2016-01-27 23:01:58
3	Gabriel Lau	0.01 s	JavaScript (SpiderMonkey)	2016-03-28 22:00:19
4	Tor Nordqvist	0.01 s	JavaScript (SpiderMonkey)	2016-11-08 00:42:25
5	J M	0.01 s	JavaScript (SpiderMonkey)	2016-11-12 16:19:16
6	Mohammad Mousavi	0.01 s	JavaScript (SpiderMonkey)	2017-01-02 07:47:22
7	Spencer Smith	0.01 s	JavaScript (SpiderMonkey)	2017-06-06 22:21:02
8	Michael Hjortholt	0.01 s	JavaScript (SpiderMonkey)	2017-07-11 00:13:33
9	Peter Menyes	0.01 s	JavaScript (SpiderMonkey)	2017-08-07 20:24:06
10	Davíð Helgason	0.01 s	JavaScript (SpiderMonkey)	2017-08-07 20:31:28

#	User	Runtime	Language	Date
1	Timothy Gaede	0.49 s	Julia	2024-03-24 03:36:31
2	Danny Robinson	0.52 s	Julia	2023-06-21 16:34:12

#	User	Runtime	Language	Date
1	Lam Gia Thuan	0.15 s	Kotlin	2017-10-31 22:44:28
2	Dayan Ruben Gonzalez	0.15 s	Kotlin	2020-09-27 22:21:27
3	Jacob Huebner	0.17 s	Kotlin	2020-03-17 22:16:38
4	Jahid Hasan Imon	0.18 s	Kotlin	2020-05-07 03:32:03
5	Magnus Wass	0.18 s	Kotlin	2020-12-14 22:41:02
6	Adam Rankin	0.19 s	Kotlin	2023-05-04 19:57:13
7	Dmitry Shostak	0.20 s	Kotlin	2018-08-19 17:06:22
8	Mark Mathis	0.20 s	Kotlin	2018-10-12 05:26:24
9	Troy Warmboe	0.20 s	Kotlin	2018-10-20 02:16:48
10	Neil Harmon	0.20 s	Kotlin	2019-04-03 10:09:20

#	User	Runtime	Language	Date
1	Shiroy Sattur	0.00 s	Nim	2025-10-11 10:57:58

#	User	Runtime	Language	Date
1	Ayoub Meskour	0.00 s	Objective-C	2016-06-17 05:52:40

#	User	Runtime	Language	Date
1	Gavin Gray	0.00 s	OCaml	2021-05-24 21:28:06
2	Fredrik Eriksson	0.00 s	OCaml	2024-10-10 00:11:44

#	User	Runtime	Language	Date
1	Hidden user	0.00 s	Odin	2025-05-06 01:12:37

#	User	Runtime	Language	Date
1	羅棨洭5A14 Law Kai Hong	0.00 s	Pascal	2018-10-08 13:09:25
2	Chan Howard	0.00 s	Pascal	2018-10-16 03:17:57
3	Ingemar Ragnemalm	0.00 s	Pascal	2019-01-06 10:35:06
4	David Connolly	0.00 s	Pascal	2022-04-11 23:44:56

#	User	Runtime	Language	Date
1	Saito Ta	0.01 s	Perl	2024-04-23 10:12:29

#	User	Runtime	Language	Date
1	Silvena Lam	0.01 s	PHP	2016-02-11 16:07:45
2	Steven D. Wilson	0.01 s	PHP	2016-03-26 03:58:01
3	Susanne Ragnemalm	0.01 s	PHP	2018-03-17 20:03:34
4	Helbin Grégory	0.01 s	PHP	2020-02-09 11:24:16
5	Petr Trofimov	0.01 s	PHP	2021-04-17 12:10:58
6	Renate Fiala-Lundström	0.01 s	PHP	2021-04-19 14:37:33

#	User	Runtime	Language	Date
1	Hadi Qovaizi	0.01 s	Prolog	2016-05-08 06:02:33
2	Andriy Zyevakov	0.01 s	Prolog	2017-07-05 21:11:49

#	User	Runtime	Language	Date
1	Anders Westling	0.02 s	Python 2	2014-03-30 15:59:08
2	Paulo Bu	0.02 s	Python 2	2015-03-25 12:33:39
3	Christofer Ohlsson	0.02 s	Python 2	2015-06-30 10:37:48
4	Fredrik Carlsen	0.02 s	Python 2	2015-07-26 13:47:57
5	Johan Wind	0.02 s	Python 2	2015-09-14 00:01:44
6	Snild Dolkow	0.02 s	Python 2	2015-10-04 15:35:35
7	Hans Rusten	0.02 s	Python 2	2015-10-20 13:30:26
8	Asger Hautop Drewsen	0.02 s	Python 2	2015-11-03 19:48:10
9	Duan Yuwei	0.02 s	Python 2	2016-01-30 18:06:57
10	Urban Pettersson	0.02 s	Python 2	2016-02-03 18:02:18

#	User	Runtime	Language	Date
1	Brian Harrington	0.02 s	Python 3	2015-04-19 03:55:39
2	James Elías Sigurðarson	0.02 s	Python 3	2015-06-03 15:58:09
3	Johannes Agestam	0.02 s	Python 3	2015-06-19 23:59:01
4	Petra Marc	0.02 s	Python 3	2015-07-16 18:51:21
5	Martin Stensgård	0.02 s	Python 3	2015-07-25 04:54:39
6	Fredrik Carlsen	0.02 s	Python 3	2015-07-26 13:48:16
7	Baldur Tryggvason	0.02 s	Python 3	2015-08-06 21:37:23
8	Nina Mrzelj	0.02 s	Python 3	2015-08-26 11:46:56
9	Anja Ratajc	0.02 s	Python 3	2015-08-27 21:44:29
10	Ziga Staresinic	0.02 s	Python 3	2015-09-09 14:44:55

#	User	Runtime	Language	Date
1	Casper Christensen	0.03 s	Ruby	2016-02-26 21:01:19
2	Lasse Berglund	0.03 s	Ruby	2016-03-29 11:03:48
3	Erik Rydbert	0.03 s	Ruby	2016-07-26 10:57:59
4	Mehdi Maick	0.03 s	Ruby	2016-07-30 23:16:52
5	Clifford Owino	0.03 s	Ruby	2017-05-24 05:45:31
6	Paul Vinell	0.03 s	Ruby	2018-04-06 16:26:33
7	Jason Cheong-Kee-You	0.04 s	Ruby	2018-05-29 04:25:16
8	Daniel Harder	0.04 s	Ruby	2018-09-01 00:02:06
9	Hidden user	0.04 s	Ruby	2018-09-30 04:56:04
10	Lim Ming Yean	0.04 s	Ruby	2018-11-16 04:34:34

#	User	Runtime	Language	Date
1	Danial Haseeb	0.00 s	Swift	2023-10-09 16:28:00

#	User	Length	Language	Date
1	Thomas Feld	27	APL	2023-08-29 13:31:40

#	User	Length	Language	Date
1	Chenzhang Hu	37	Bash	2025-09-13 00:50:42
2	Thomas Feld	38	Bash	2023-09-27 11:33:03
3	Chandler McFarland	288	Bash	2025-03-12 17:04:22

#	User	Length	Language	Date
1	Illa Somasekhar	223	C	2018-11-09 12:32:48
2	pancrates	248	C	2017-10-10 15:08:06
3	William Brigham	284	C	2017-04-18 03:40:22
4	Aileen Zhu	284	C	2019-12-17 19:28:47
5	Hidden user	289	C	2016-07-31 19:05:54
6	La Minh Khoi - K15 FUG CT	294	C	2020-12-19 09:40:45
7	Elias Nodland	295	C	2018-09-30 22:37:38
8	Eric McKnight	296	C	2017-10-24 01:25:48
9	Truong Duy Khang - K15 FUG CT	296	C	2020-12-19 09:42:06
10	Le Cao Tuan Hung - K15 FUG CT	298	C	2020-12-19 09:21:35

#	User	Length	Language	Date
1	Sven	192	C#	2024-02-20 20:36:51
2	Brian Scott	214	C#	2017-09-27 11:24:42
3	Kunwei Zhang	218	C#	2018-02-04 11:55:28
4	Esty Crow	222	C#	2022-11-21 20:08:54
5	Peter Nordh	246	C#	2019-12-28 20:20:23
6	李陆屿	260	C#	2018-12-29 16:42:24
7	Գոռ Բաղդասարյան	264	C#	2024-11-14 12:04:49
8	Eric Bäckhage	280	C#	2019-02-04 19:09:43
9	Deci Bel	284	C#	2024-12-03 21:51:50
10	Anthony Ye	304	C#	2022-12-04 17:58:56

#	User	Length	Language	Date
1	Ludo Pulles	136	C++	2018-11-10 13:33:49
2	Nguyễn Thành Đức	142	C++	2021-05-26 15:19:39
3	Con Sói Ba	145	C++	2016-09-23 10:04:42
4	Đậu Huy Minh	147	C++	2022-10-09 07:43:16
5	Budi Arbenta	148	C++	2017-01-27 02:44:16
6	Mạc Phúc Khang	148	C++	2022-09-17 18:06:57
7	39. Phạm Minh Tuấn	151	C++	2022-09-23 17:40:20
8	Evan Michael Bailey	151	C++	2024-02-21 20:11:27
9	Frans Meulenbroeks	151	C++	2024-10-01 23:13:03
10	鹿目圆	154	C++	2018-11-24 14:19:28

#	User	Length	Language	Date
1	John Dandy	120	Common Lisp	2020-02-01 02:19:58
2	wibi	170	Common Lisp	2020-08-21 18:36:29
3	David Cawthon	835	Common Lisp	2020-07-11 16:30:21

#	User	Length	Language	Date
1	Jacob Harris Cryer Kragh	191	F#	2022-05-27 21:54:38
2	Jacob To	859	F#	2023-11-17 00:40:12

#	User	Length	Language	Date
1	Hidden user	165	Go	2021-12-17 09:22:14
2	Jonas Mittnacht	172	Go	2024-02-20 21:53:48
3	Wojtek Bednarzak	193	Go	2020-01-19 15:18:23
4	Ian Howell	194	Go	2016-05-29 05:51:50
5	Alejandro Germain	201	Go	2018-09-29 10:54:32
6	Jimmy Nejtron	206	Go	2023-02-15 16:13:35
7	Jonas Hedin	209	Go	2015-02-28 22:50:13
8	Yousif Ibrahim	216	Go	2024-03-25 12:08:38
9	Hidden user	225	Go	2016-05-27 16:12:02
10	Andreas Gottschalk Krath	230	Go	2022-04-10 22:43:39

#	User	Length	Language	Date
1	David Wärn	87	Haskell	2015-10-09 11:51:12
2	Steinar Simonnes	109	Haskell	2023-11-02 10:06:29
3	Tim Put	110	Haskell	2021-04-18 22:33:45
4	Phan Ngọc Tiên	111	Haskell	2022-04-01 20:47:26
5	Johan Adamsson	116	Haskell	2020-02-15 19:46:36
6	Peter Deal	119	Haskell	2016-05-07 20:04:51
7	Johan Meier	127	Haskell	2016-12-27 16:00:48
8	Brent Yorgey	133	Haskell	2017-10-01 04:22:01
9	Håkon Flatval	144	Haskell	2018-06-14 01:07:44
10	Henrik Olsen Eide	145	Haskell	2021-09-18 19:59:50

#	User	Length	Language	Date
1	Syed Faisal	252	Java	2017-09-10 08:18:54
2	Krishna Prasad Sharma	257	Java	2018-09-20 18:29:59
3	Giovanni Ferioli	268	Java	2018-10-12 02:35:12
4	Wei Lun Toh	272	Java	2022-08-17 16:44:15
5	Hidden user	274	Java	2018-03-22 20:50:19
6	Yiping Wang	276	Java	2018-03-22 19:35:09
7	Sergio Ramirez	278	Java	2016-12-08 18:27:03
8	Sam Chambré	279	Java	2018-10-14 20:46:04
9	Doug Goodman	282	Java	2018-01-28 20:47:28
10	Jamie Walton	283	Java	2021-02-03 07:06:06

#	User	Length	Language	Date
1	Karim Dridi	152	JavaScript (Node.js)	2022-01-14 16:57:33
2	Chris Wong	262	JavaScript (Node.js)	2021-02-01 14:46:37
3	Gurpartap Singh Bhatti	279	JavaScript (Node.js)	2019-04-07 06:55:06
4	Lauren Lewis	315	JavaScript (Node.js)	2022-04-07 06:11:25
5	Antoine Bauri	317	JavaScript (Node.js)	2021-02-17 21:53:53
6	Thomas Skovlund Hansen	336	JavaScript (Node.js)	2020-09-11 20:02:45
7	Howard Tin Chi Chan	366	JavaScript (Node.js)	2021-01-30 22:40:04
8	Oussama	393	JavaScript (Node.js)	2018-10-24 15:12:39
9	Ali	422	JavaScript (Node.js)	2021-12-18 15:03:09
10	José Lucas	431	JavaScript (Node.js)	2019-03-12 18:42:00

#	User	Length	Language	Date
1	Christian Pilegaard Cederquist	54	JavaScript (SpiderMonkey)	2022-11-08 00:24:11
2	Jimmy Gustafsson	83	JavaScript (SpiderMonkey)	2022-08-16 09:56:31
3	Michael Hjortholt	86	JavaScript (SpiderMonkey)	2017-07-11 00:13:33
4	Evan Magill	87	JavaScript (SpiderMonkey)	2024-04-18 17:37:50
5	Bernard Perrin	98	JavaScript (SpiderMonkey)	2019-01-20 17:21:53
6	J M	106	JavaScript (SpiderMonkey)	2016-11-12 16:19:16
7	Robin Livesey	116	JavaScript (SpiderMonkey)	2018-04-16 10:44:04
8	Bjørn Chr. Soltvedt	127	JavaScript (SpiderMonkey)	2016-01-27 23:01:58
9	Phuong Quang Nguyen	127	JavaScript (SpiderMonkey)	2025-09-25 10:56:54
10	Gabriel Lau	141	JavaScript (SpiderMonkey)	2016-03-28 22:00:19

#	User	Length	Language	Date
1	Danny Robinson	55	Julia	2023-06-21 16:34:12
2	Timothy Gaede	224	Julia	2024-03-24 03:36:31

#	User	Length	Language	Date
1	Adam Rankin	104	Kotlin	2023-05-04 19:57:13
2	Simon Lixenfeld	115	Kotlin	2021-06-18 18:20:48
3	axl	118	Kotlin	2019-08-05 13:32:40
4	Troy Warmboe	128	Kotlin	2018-10-20 02:16:48
5	Dmitry Shostak	136	Kotlin	2018-08-19 17:06:22
6	Merih Bora Poçan	194	Kotlin	2020-09-13 00:32:26
7	Jacob Huebner	213	Kotlin	2020-03-17 22:16:38
8	Jahid Hasan Imon	229	Kotlin	2020-05-07 03:32:03
9	Dayan Ruben Gonzalez	234	Kotlin	2020-09-27 22:21:27
10	Mark Mathis	256	Kotlin	2018-10-12 05:26:24

#	User	Length	Language	Date
1	Shiroy Sattur	116	Nim	2025-10-11 10:57:58

#	User	Length	Language	Date
1	Ayoub Meskour	363	Objective-C	2016-06-17 05:52:40

#	User	Length	Language	Date
1	Gavin Gray	334	OCaml	2021-05-24 21:28:06
2	Fredrik Eriksson	347	OCaml	2024-10-10 00:11:44

#	User	Length	Language	Date
1	Hidden user	675	Odin	2025-05-06 01:12:37

#	User	Length	Language	Date
1	羅棨洭5A14 Law Kai Hong	344	Pascal	2018-10-08 13:09:25
2	Ingemar Ragnemalm	413	Pascal	2019-01-06 10:35:06
3	David Connolly	737	Pascal	2022-04-11 23:44:56
4	Chan Howard	829	Pascal	2018-10-16 03:17:57

#	User	Length	Language	Date
1	Saito Ta	45	Perl	2024-04-23 10:12:29

#	User	Length	Language	Date
1	Renate Fiala-Lundström	138	PHP	2021-04-19 14:37:33
2	Petr Trofimov	140	PHP	2021-04-17 12:10:58
3	Susanne Ragnemalm	163	PHP	2018-03-17 20:03:34
4	Helbin Grégory	185	PHP	2020-02-09 11:24:16
5	Steven D. Wilson	198	PHP	2016-03-26 03:58:01
6	Silvena Lam	219	PHP	2016-02-11 16:07:45

#	User	Length	Language	Date
1	Andriy Zyevakov	160	Prolog	2017-07-05 21:11:49
2	Hadi Qovaizi	5222	Prolog	2016-05-08 06:02:33

#	User	Length	Language	Date
1	Thomas Feld	55	Python 2	2019-08-19 13:10:12
2	Andreas Björklund	55	Python 2	2019-09-16 21:26:50
3	Andreas Eisele	57	Python 2	2018-09-09 16:35:51
4	Johan Wind	59	Python 2	2015-09-14 00:01:44
5	Johan Lyts	59	Python 2	2019-02-20 21:34:52
6	Ben Ao	60	Python 2	2016-11-12 13:36:57
7	Muhammad Fathir Irhas	60	Python 2	2017-02-13 18:02:29
8	Cole Bite	60	Python 2	2017-03-02 02:21:04
9	Guan Yang Ze	60	Python 2	2019-09-06 11:25:12
10	Meher Béjaoui	61	Python 2	2017-07-06 01:02:45

#	User	Length	Language	Date
1	Jesper Bech Christensen	51	Python 3	2022-10-27 12:19:19
2	Lars Pettersson	51	Python 3	2022-12-25 14:23:00
3	Magnus Eide-Fredriksen	51	Python 3	2022-12-29 01:43:43
4	Tam Keng Hong	51	Python 3	2023-01-05 11:32:05
5	Benjamin Z White	51	Python 3	2023-04-18 23:53:29
6	Clement Oh	51	Python 3	2023-05-14 19:12:10
7	Guk Yi Siong	51	Python 3	2023-06-14 07:40:07
8	Magnus Hokland Hegdahl	51	Python 3	2023-11-15 04:27:54
9	Tommi Järvenpää	51	Python 3	2024-03-21 08:05:27
10	Hidden user	51	Python 3	2025-01-17 00:45:33

#	User	Length	Language	Date
1	Thomas Feld	38	Ruby	2022-11-03 16:02:08
2	Christian Pilegaard Cederquist	39	Ruby	2022-11-08 00:28:41
3	Alexander Bilde Pedersen	41	Ruby	2023-09-19 17:37:41
4	Hidden user	52	Ruby	2019-02-16 17:45:53
5	Régis Hanol	58	Ruby	2022-01-05 18:31:20
6	Jason Cheong-Kee-You	60	Ruby	2018-05-29 04:25:16
7	Hidden user	62	Ruby	2018-09-30 04:56:04
8	Eugen Neagoe	63	Ruby	2023-04-27 01:38:12
9	TobiasZ	74	Ruby	2022-01-20 19:08:27
10	Erik Rydbert	75	Ruby	2016-07-26 10:57:59

#	User	Length	Language	Date
1	Vincent Lagerros	185	Rust	2024-12-04 16:57:10
2	Emil Dichmann	218	Rust	2025-09-17 03:53:49
3	Will	235	Rust	2025-02-15 19:29:16
4	David Vinje	254	Rust	2022-07-31 14:42:21
5	Hidden user	296	Rust	2020-12-27 22:42:13
6	Robert Dumitrescu	311	Rust	2018-12-15 22:14:24
7	Andriy Semenistiy	312	Rust	2021-02-07 14:26:17
8	Pankajkumar Patro	316	Rust	2024-08-16 23:43:57
9	Johan Larsson	331	Rust	2021-01-01 19:15:16
10	Mattéo Ladrat	351	Rust	2021-01-23 13:28:52

#	User	Length	Language	Date
1	Danial Haseeb	224	Swift	2023-10-09 16:28:00

Solution running time distribution