Problem F
The Last Problem — Problem Statistics

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Submissions	12566
Accepted submissions	5660
Submission ratio	45.04%
Authors	5271
Full solves [?]	4988
Full solve Ratio	94.63%

#	User	Runtime	Language	Date
1	Sergio Huhuhu	0.00 s	Ada	2025-10-16 19:25:10

#	User	Runtime	Language	Date
1	Matzuka	0.01 s	APL	2025-03-30 11:41:57

#	User	Runtime	Language	Date
1	Saito Ta	0.00 s	Bash	2024-04-03 12:24:17
2	Danny Robinson	0.01 s	Bash	2023-09-01 11:11:47
3	Chenzhang Hu	0.01 s	Bash	2023-10-29 10:52:45
4	Alexandre Charland	0.01 s	Bash	2024-09-20 21:51:33
5	Thomas Feld	0.01 s	Bash	2024-10-14 12:21:16
6	Frans Meulenbroeks	0.01 s	Bash	2024-11-10 17:34:44
7	Manish shrestha	0.01 s	Bash	2025-04-15 11:39:59

#	User	Runtime	Language	Date
1	Jan Matthiessen	0.02 s	C#	2020-07-11 09:32:30
2	Alexander J Ohrt	0.02 s	C#	2020-07-30 20:17:33
3	Jonathan Holen	0.02 s	C#	2020-08-10 11:54:43
4	Yuwono Bangun Nagoro	0.02 s	C#	2020-08-18 22:54:16
5	Emil Haugaard Westendahl	0.02 s	C#	2020-09-04 15:04:23
6	Bjarke Brodin	0.02 s	C#	2020-09-04 15:19:37
7	Anders Parsberg Wagner	0.02 s	C#	2020-09-04 15:29:56
8	Abhishek Gupta	0.02 s	C#	2020-09-16 21:40:22
9	Michael Jenner	0.02 s	C#	2020-09-22 22:23:17
10	Thomas Norris	0.02 s	C#	2020-11-14 22:06:18

#	User	Runtime	Language	Date
1	Brandon Mitchell	0.00 s	COBOL	2020-08-19 02:18:50

#	User	Runtime	Language	Date
1	crusoe	0.01 s	Common Lisp	2020-07-26 19:23:22
2	David Cawthon	0.01 s	Common Lisp	2020-09-12 16:02:42
3	Norvell Spearman	0.03 s	Common Lisp	2025-01-05 04:35:19

#	User	Runtime	Language	Date
1	Jacob Harris Cryer Kragh	0.03 s	F#	2022-06-11 18:04:41

#	User	Runtime	Language	Date
1	Nicholas Marsh	0.00 s	Haskell	2022-09-16 18:51:47
2	Brian Hwang	0.00 s	Haskell	2023-04-05 20:30:15
3	Matthew Gvasalia	0.00 s	Haskell	2023-04-15 23:32:40
4	Li Jun	0.00 s	Haskell	2023-06-20 15:49:42
5	Greg Rosser	0.00 s	Haskell	2023-08-11 16:33:48
6	Sebastian Banert	0.00 s	Haskell	2023-09-12 22:06:14
7	gapry	0.00 s	Haskell	2023-12-03 15:07:02
8	Hidden user	0.00 s	Haskell	2024-02-03 11:10:26
9	Trung Do	0.00 s	Haskell	2025-06-14 09:48:16
10	Brent Yorgey	0.01 s	Haskell	2020-07-09 21:55:35

#	User	Runtime	Language	Date
1	Guangyi Zhou	0.04 s	Java	2024-12-15 12:50:41
2	Lee Heng Sheng	0.05 s	Java	2024-05-01 09:15:44
3	Hidden user	0.05 s	Java	2025-04-19 10:08:30
4	Crystal Sharpe	0.06 s	Java	2020-07-10 06:14:13
5	Emil Bak-Møller	0.06 s	Java	2020-07-12 15:58:00
6	Niklas Vatn	0.06 s	Java	2020-07-25 17:30:37
7	Liam Keliher	0.06 s	Java	2020-08-15 18:26:56
8	Martijn Muijsers	0.06 s	Java	2020-08-20 22:56:32
9	Sven Rönnbäck	0.06 s	Java	2020-12-12 21:43:36
10	Joachim Borup	0.06 s	Java	2021-11-18 21:58:11

#	User	Runtime	Language	Date
1	Rizky Muliawan	0.04 s	JavaScript (Node.js)	2024-02-19 08:34:17
2	Hidden user	0.04 s	JavaScript (Node.js)	2024-09-11 20:31:24
3	Redho Darmawan	0.05 s	JavaScript (Node.js)	2024-03-07 10:52:28
4	Klemen Randl	0.08 s	JavaScript (Node.js)	2022-07-07 19:25:06
5	Chris Wong	0.41 s	JavaScript (Node.js)	2021-02-16 23:20:05
6	Ricardo Dias	0.42 s	JavaScript (Node.js)	2020-07-09 22:02:31
7	John	0.42 s	JavaScript (Node.js)	2020-08-07 01:54:09
8	Hovhannes Kantuni	0.42 s	JavaScript (Node.js)	2020-09-05 00:46:01
9	Andoko Chandra	0.42 s	JavaScript (Node.js)	2020-10-09 12:33:06
10	Peter Kedemo	0.42 s	JavaScript (Node.js)	2020-12-25 23:52:57

#	User	Runtime	Language	Date
1	Bjørn Chr. Soltvedt	0.02 s	JavaScript (SpiderMonkey)	2020-07-08 13:30:06
2	Nicklas Utgaard	0.02 s	JavaScript (SpiderMonkey)	2021-04-24 15:06:53
3	Peter Menyes	0.02 s	JavaScript (SpiderMonkey)	2021-08-15 11:30:46
4	Christian Pilegaard Cederquist	0.02 s	JavaScript (SpiderMonkey)	2023-01-10 16:13:20
5	Zach Tschetter	0.02 s	JavaScript (SpiderMonkey)	2023-06-19 03:31:17
6	Evan Magill	0.02 s	JavaScript (SpiderMonkey)	2024-04-20 07:43:11
7	Jimmy Gustafsson	0.02 s	JavaScript (SpiderMonkey)	2024-06-17 23:55:10
8	Ben Armstrong	0.02 s	JavaScript (SpiderMonkey)	2025-09-25 16:56:02

#	User	Runtime	Language	Date
1	Timothy Gaede	0.53 s	Julia	2024-03-23 03:15:26

#	User	Runtime	Language	Date
1	James WIlliams	0.11 s	Kotlin	2020-08-27 08:15:37
2	Jacob Huebner	0.11 s	Kotlin	2021-10-17 18:48:56
3	Ola Sundell	0.14 s	Kotlin	2020-08-24 15:53:42
4	Marit van Dijk	0.14 s	Kotlin	2021-09-14 12:41:26
5	Sergei Dryganets	0.14 s	Kotlin	2022-05-24 01:13:17
6	Robert M	0.15 s	Kotlin	2022-10-11 20:07:59
7	Mike Digan	0.16 s	Kotlin	2023-03-02 15:26:59
8	Troy Warmboe	0.16 s	Kotlin	2023-04-11 00:47:02
9	Luis Flores	0.16 s	Kotlin	2023-06-09 00:47:04
10	Merih Bora Poçan	0.17 s	Kotlin	2020-07-30 05:43:41

#	User	Runtime	Language	Date
1	Zeheng Li	0.00 s	Lua	2023-11-21 00:11:40
2	Antonio Fernandez	0.00 s	Lua	2024-12-21 18:19:47
3	Adriel Javen Castro	0.00 s	Lua	2025-02-11 21:46:31

#	User	Runtime	Language	Date
1	Hidden user	0.00 s	Odin	2025-04-30 00:03:03

#	User	Runtime	Language	Date
1	Ingemar Ragnemalm	0.00 s	Pascal	2020-07-28 09:42:53
2	David Connolly	0.00 s	Pascal	2021-11-23 15:15:22

#	User	Runtime	Language	Date
1	cojonas1	0.01 s	PHP	2021-04-07 14:16:01
2	陳建宏	0.01 s	PHP	2021-04-27 21:58:22
3	Renate	0.01 s	PHP	2021-05-22 22:40:54
4	Thomas Feld	0.01 s	PHP	2023-01-02 09:42:40
5	Andre Wahyudi	0.01 s	PHP	2023-03-13 06:06:26

#	User	Runtime	Language	Date
1	Hakan Kjellerstrand	0.02 s	Prolog	2023-02-05 19:53:46
2	Andriy Zyevakov	0.02 s	Prolog	2023-03-16 06:47:01

#	User	Runtime	Language	Date
1	Hasan Kalzi	0.02 s	Python 2	2022-06-20 15:02:35
2	Johan Lyts	0.03 s	Python 2	2020-07-26 15:12:32
3	ANBU VEL S 2019	0.03 s	Python 2	2020-08-12 15:14:51
4	Yanmarshus Bachtiar	0.03 s	Python 2	2020-08-18 08:34:07
5	Shakeel Samsudeen	0.03 s	Python 2	2020-09-01 16:23:56
6	Thomas Feld	0.03 s	Python 2	2020-09-09 15:24:13
7	Gibransyah	0.03 s	Python 2	2020-09-11 17:33:18
8	Agis Daniels	0.03 s	Python 2	2020-11-08 21:47:41
9	a_b__c	0.03 s	Python 2	2021-01-11 08:35:21
10	Sigurður Jens Albertsson	0.03 s	Python 2	2021-02-22 03:22:08

#	User	Runtime	Language	Date
1	Dustin Luong	0.04 s	Python 3	2022-06-04 20:22:07
2	Hidden user	0.04 s	Python 3	2022-06-05 10:05:30
3	Patrick Kinnicutt	0.04 s	Python 3	2022-06-05 19:15:05
4	Carl Harrison	0.04 s	Python 3	2022-06-06 12:45:56
5	Marcus Oscarsson	0.04 s	Python 3	2022-06-06 16:55:55
6	Jens Kollberg	0.04 s	Python 3	2022-06-06 20:04:13
7	Tan Yong Boon	0.04 s	Python 3	2022-06-07 17:11:35
8	Mayank Raj	0.04 s	Python 3	2022-06-09 05:10:56
9	NVT100	0.04 s	Python 3	2022-06-12 02:12:06
10	Teudis Naranjo Ortiz	0.04 s	Python 3	2022-06-12 03:07:53

#	User	Runtime	Language	Date
1	Hidden user	0.05 s	Ruby	2020-08-01 16:31:14
2	Hidden user	0.05 s	Ruby	2021-02-17 14:55:44
3	Hadi Qovaizi	0.05 s	Ruby	2021-07-08 22:29:33
4	Régis Hanol	0.05 s	Ruby	2022-01-14 17:21:21
5	Frederik Petersen	0.06 s	Ruby	2022-10-12 15:44:16
6	Thomas Feld	0.06 s	Ruby	2022-11-17 20:33:02
7	michael r lederle	0.06 s	Ruby	2023-01-13 05:45:05
8	Hakan Kjellerstrand	0.06 s	Ruby	2023-03-15 19:36:55
9	Eugen Neagoe	0.06 s	Ruby	2023-03-26 23:26:20
10	Drew Wilson	0.06 s	Ruby	2023-05-28 04:32:12

#	User	Runtime	Language	Date
1	Hidden user	0.00 s	Swift	2024-09-03 22:11:48

#	User	Length	Language	Date
1	Sergio Huhuhu	282	Ada	2025-10-16 19:25:10

#	User	Length	Language	Date
1	Matzuka	41	APL	2025-03-30 11:42:44

#	User	Length	Language	Date
1	Thomas Feld	37	Bash	2024-10-14 12:21:16
2	Chenzhang Hu	38	Bash	2025-09-12 16:47:17
3	Alexandre Charland	40	Bash	2024-09-20 21:51:33
4	Saito Ta	41	Bash	2024-04-03 12:24:17
5	Danny Robinson	45	Bash	2023-09-01 11:11:47
6	Frans Meulenbroeks	60	Bash	2024-11-10 17:34:44
7	Manish shrestha	126	Bash	2025-04-15 11:39:59

#	User	Length	Language	Date
1	Martin Blom	68	C	2023-10-09 13:07:59
2	Eduardo Núñez	68	C	2024-02-25 16:01:17
3	Bartosz Hajdas	103	C	2025-10-25 11:40:32
4	Oliver Noreklev	104	C	2025-09-25 16:29:28
5	Hidden user	110	C	2023-09-08 14:09:07
6	Emil Wihlander	115	C	2020-12-07 21:55:49
7	紅茶	119	C	2023-02-25 13:52:26
8	MADHUMITHA K	123	C	2025-04-13 16:29:53
9	milind maiti	124	C	2022-09-04 04:13:05
10	NANDHAKISHORE R	124	C	2025-04-13 05:39:12

#	User	Length	Language	Date
1	Camilla Gustafsson	88	C#	2023-11-05 20:51:24
2	samvid mistry	101	C#	2024-11-24 10:24:44
3	Yevgeniy Sheyer	141	C#	2025-02-16 16:28:44
4	Esty Crow	157	C#	2025-01-24 05:20:08
5	Mehdi Khamse	162	C#	2023-07-16 11:53:41
6	Peter Løffmann	170	C#	2022-05-01 14:58:05
7	Sebastián Rodríguez Brauer	173	C#	2023-10-16 02:09:12
8	Aaron Velasco Leon	184	C#	2023-10-16 02:03:35
9	Bjarke Brodin	186	C#	2020-09-04 15:19:37
10	Jesús Ocampo Rodriguez	186	C#	2023-04-21 03:31:05

#	User	Length	Language	Date
1	Hakan Kjellerstrand	108	C++	2025-02-15 08:53:58
2	妹様万歳	116	C++	2020-07-29 15:18:26
3	Shiroy Sattur	117	C++	2025-09-17 04:24:43
4	Hidden user	121	C++	2022-12-11 15:43:22
5	Hidden user	122	C++	2024-04-22 15:44:47
6	Mathias Gernez	123	C++	2025-05-16 23:14:36
7	Wolfgang Groetz	124	C++	2022-02-04 20:35:29
8	Edbert Purwanto	125	C++	2022-12-04 06:57:13
9	Muhammad Aditya Firmansyah	125	C++	2023-12-02 05:48:56
10	Akash Gupta	126	C++	2025-01-11 08:44:33

#	User	Length	Language	Date
1	Brandon Mitchell	406	COBOL	2020-08-19 02:18:50

#	User	Length	Language	Date
1	Norvell Spearman	58	Common Lisp	2025-01-05 04:35:19
2	crusoe	76	Common Lisp	2020-07-26 19:23:22
3	David Cawthon	231	Common Lisp	2020-09-12 16:02:42

#	User	Length	Language	Date
1	Jacob Harris Cryer Kragh	87	F#	2022-06-11 18:04:41

#	User	Length	Language	Date
1	Hidden user	163	Go	2024-04-28 05:24:15
2	Faizan Khalid	167	Go	2022-10-15 18:20:36
3	Conrad Parker	170	Go	2020-08-12 03:29:49
4	Hidden user	176	Go	2021-12-18 15:08:44
5	n k	184	Go	2025-01-09 15:43:32
6	Husain Satan	187	Go	2023-11-09 13:05:01
7	Albert Leung	195	Go	2024-08-07 20:29:40
8	Syahril Maula Yahya	201	Go	2024-08-23 09:02:46
9	Grant Greer	202	Go	2024-10-01 05:15:55
10	Hidden user	202	Go	2025-01-12 01:09:34

#	User	Length	Language	Date
1	Sebastian Banert	70	Haskell	2023-09-12 22:06:14
2	Li Jun	75	Haskell	2023-06-20 15:49:42
3	Scott Dauer	79	Haskell	2022-04-16 01:48:50
4	Emil Østergaard	80	Haskell	2020-09-09 10:19:27
5	Jordan McIntyre	83	Haskell	2020-07-29 15:24:21
6	Simon Dohn	83	Haskell	2020-11-08 16:05:49
7	Nicholas Marsh	87	Haskell	2022-09-16 18:51:47
8	Anders Aarsæther	89	Haskell	2021-11-05 15:14:14
9	Jannik Olbrich	91	Haskell	2021-01-13 18:53:52
10	David Zacek	96	Haskell	2021-05-11 02:56:39

#	User	Length	Language	Date
1	Clement Oh	172	Java	2022-08-24 07:49:10
2	Daryl Ghee Shao Wen	194	Java	2024-08-13 14:23:25
3	Theodoric Keith Lim	197	Java	2020-07-10 01:01:56
4	Brendan King	204	Java	2020-08-09 19:17:55
5	Paul Boddington	208	Java	2020-07-19 15:00:44
6	Emil Boesgaard Nørbjerg	210	Java	2021-09-26 20:50:57
7	Agung Rizal Suryo Laksono	210	Java	2023-07-28 06:29:50
8	Nikita Chudakov	210	Java	2024-01-14 15:51:52
9	Michael Scott	211	Java	2020-08-03 16:13:41
10	Kailin Huang	211	Java	2023-10-26 22:34:04

#	User	Length	Language	Date
1	Peter Kedemo	216	JavaScript (Node.js)	2020-12-25 23:52:57
2	Howard Tin Chi Chan	224	JavaScript (Node.js)	2021-02-17 05:59:40
3	Hidden user	228	JavaScript (Node.js)	2023-08-04 04:43:58
4	Redho Darmawan	233	JavaScript (Node.js)	2024-03-07 10:52:28
5	Chris Wong	265	JavaScript (Node.js)	2021-02-16 23:20:05
6	Rizky Muliawan	269	JavaScript (Node.js)	2024-02-19 08:34:17
7	Seifeldin Ezzat	294	JavaScript (Node.js)	2022-04-07 21:26:22
8	Hovhannes Kantuni	318	JavaScript (Node.js)	2020-09-05 00:46:01
9	David Sanders	359	JavaScript (Node.js)	2021-03-09 19:53:20
10	Ricardo Dias	393	JavaScript (Node.js)	2020-07-09 22:02:31

#	User	Length	Language	Date
1	Christian Pilegaard Cederquist	48	JavaScript (SpiderMonkey)	2023-01-10 16:13:20
2	Jimmy Gustafsson	48	JavaScript (SpiderMonkey)	2024-06-18 00:03:18
3	Bjørn Chr. Soltvedt	50	JavaScript (SpiderMonkey)	2020-07-08 13:30:06
4	Ben Armstrong	50	JavaScript (SpiderMonkey)	2025-09-25 16:56:02
5	Zach Tschetter	54	JavaScript (SpiderMonkey)	2023-06-19 03:31:17
6	Evan Magill	55	JavaScript (SpiderMonkey)	2024-04-20 07:43:11
7	Peter Menyes	56	JavaScript (SpiderMonkey)	2021-08-15 11:30:46
8	Nicklas Utgaard	74	JavaScript (SpiderMonkey)	2021-04-24 15:06:53

#	User	Length	Language	Date
1	Timothy Gaede	50	Julia	2024-03-23 03:15:26

#	User	Length	Language	Date
1	Aaron Lamoreaux	63	Kotlin	2021-06-26 04:28:42
2	Jacob Huebner	67	Kotlin	2021-10-17 18:46:21
3	Troy Warmboe	69	Kotlin	2023-04-11 00:47:02
4	Magnus Tønnessen	71	Kotlin	2021-11-20 16:54:38
5	Sergey Jakobsen	73	Kotlin	2021-10-26 00:01:03
6	Danny Mittal	83	Kotlin	2024-09-28 22:20:51
7	Eloy Hernández	87	Kotlin	2021-03-01 21:30:52
8	Michael Menezes	87	Kotlin	2023-09-17 21:08:57
9	Einar Kjellback	96	Kotlin	2020-08-11 14:40:27
10	Ahmed Waseem Saeed	96	Kotlin	2022-05-22 22:40:31

#	User	Length	Language	Date
1	Zeheng Li	63	Lua	2023-11-21 00:11:40
2	Antonio Fernandez	132	Lua	2024-12-21 18:19:47
3	Adriel Javen Castro	170	Lua	2025-02-11 21:46:31

#	User	Length	Language	Date
1	Julia Plotnikova	79	OCaml	2024-08-07 04:32:47
2	Enzo Gurgel	85	OCaml	2023-07-27 13:40:05
3	Fredrik Eriksson	88	OCaml	2024-10-23 15:16:56
4	Xiu-Heng Hua	92	OCaml	2024-08-06 18:03:02
5	Yuanting Mao	94	OCaml	2025-07-26 01:47:37
6	addamove	110	OCaml	2021-01-31 00:01:10
7	Matthew Lutze	114	OCaml	2020-07-18 06:41:58
8	Philip Pham	115	OCaml	2020-07-27 22:38:53
9	Rafał Gwoździński	131	OCaml	2021-05-25 16:03:05
10	Danil Braun	168	OCaml	2021-05-04 21:18:50

#	User	Length	Language	Date
1	Hidden user	251	Odin	2025-04-30 00:03:03

#	User	Length	Language	Date
1	David Connolly	132	Pascal	2021-11-23 15:15:22
2	Ingemar Ragnemalm	157	Pascal	2020-07-28 09:42:53

#	User	Length	Language	Date
1	Thomas Feld	42	PHP	2023-01-02 09:42:40
2	陳建宏	119	PHP	2021-04-27 21:58:22
3	cojonas1	182	PHP	2021-04-07 14:16:01
4	Renate	282	PHP	2021-05-22 22:40:54
5	Andre Wahyudi	293	PHP	2023-03-13 06:06:26

#	User	Length	Language	Date
1	Hakan Kjellerstrand	85	Prolog	2023-02-05 19:53:46
2	Andriy Zyevakov	389	Prolog	2023-03-16 06:47:01

#	User	Length	Language	Date
1	a_b__c	49	Python 2	2021-01-11 08:35:21
2	Johan Lyts	54	Python 2	2020-07-26 15:12:32
3	Shakeel Samsudeen	54	Python 2	2020-09-01 16:23:56
4	Andreas Björklund	54	Python 2	2021-03-24 16:24:24
5	Sigurður Jens Albertsson	57	Python 2	2021-02-22 03:22:08
6	Yanmarshus Bachtiar	92	Python 2	2020-08-18 08:34:07
7	Agis Daniels	96	Python 2	2020-11-08 21:47:41
8	Thomas Feld	112	Python 2	2020-09-09 15:24:13
9	KALAJAYANTHI M	121	Python 2	2025-09-25 17:31:59
10	Gibransyah	128	Python 2	2020-09-11 17:33:18

#	User	Length	Language	Date
1	Bjørn Dons	45	Python 3	2020-07-08 20:43:35
2	M Base 2	45	Python 3	2020-07-16 22:09:46
3	Davi Ajmaya	45	Python 3	2020-07-19 12:47:19
4	Michel Wermelinger	45	Python 3	2020-07-23 19:41:17
5	Irwin Chin De Tao	45	Python 3	2020-08-10 23:05:56
6	Brigt Arve Toppe Håvardstun	45	Python 3	2020-08-18 16:07:30
7	Parham Ghashghaee	45	Python 3	2020-09-05 06:20:19
8	Niklas Lav	45	Python 3	2020-10-06 13:25:46
9	Jakob Kallestad	45	Python 3	2020-10-11 12:10:10
10	Gustav Wass	45	Python 3	2020-10-15 17:48:23

#	User	Length	Language	Date
1	Frederik Petersen	44	Ruby	2022-10-12 15:44:16
2	Thomas Feld	44	Ruby	2022-11-17 20:33:02
3	Alexander Bilde Pedersen	44	Ruby	2023-09-22 15:30:57
4	Russell Ng	44	Ruby	2025-05-20 06:00:31
5	Hakan Kjellerstrand	45	Ruby	2023-03-15 19:36:55
6	Hidden user	46	Ruby	2020-08-01 16:31:14
7	Régis Hanol	46	Ruby	2022-01-14 17:21:21
8	Drew Wilson	46	Ruby	2023-05-28 04:32:12
9	Hidden user	47	Ruby	2021-02-17 14:55:44
10	Stefan Kanev	58	Ruby	2023-12-28 11:33:46

#	User	Length	Language	Date
1	Vincent Lagerros	104	Rust	2024-09-02 18:52:34
2	Davide B	130	Rust	2025-01-23 15:10:42
3	Emil Dichmann	144	Rust	2025-09-02 21:31:15
4	Akemi Izuko	152	Rust	2022-06-08 05:41:41
5	Mileta Mitrovic	153	Rust	2022-08-22 19:03:10
6	Hidden user	156	Rust	2021-02-09 13:29:47
7	Ishtiaq Hussain Naqi	161	Rust	2023-08-11 12:48:52
8	Joachim Horshauge	164	Rust	2024-01-26 19:08:24
9	Hidden user	166	Rust	2021-10-17 11:27:15
10	Thobias Larsen	172	Rust	2022-06-02 12:22:24

#	User	Length	Language	Date
1	Hidden user	76	Swift	2024-09-03 22:11:48

Solution running time distribution