Problem A
Final Exam — Problem Statistics

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Submissions	5713
Accepted submissions	3420
Submission ratio	59.86%
Authors	3265
Full solves [?]	3073
Full solve Ratio	94.12%

#	User	Runtime	Language	Date
1	Michael Wichlinski	0.00 s	Ada	2025-03-26 17:20:29

#	User	Runtime	Language	Date
1	Chenzhang Hu	0.01 s	Bash	2023-09-20 10:50:17
2	Thomas Feld	0.01 s	Bash	2023-09-26 14:42:26

#	User	Runtime	Language	Date
1	Georgios Leandros Kyriazis	0.02 s	C#	2020-12-22 15:05:30
2	Gurpartap Singh Bhatti	0.02 s	C#	2020-12-23 06:28:52
3	Mike Mortensen	0.02 s	C#	2020-12-26 23:02:07
4	Maykal Droshev	0.02 s	C#	2020-12-27 12:29:49
5	Cameron Crow	0.02 s	C#	2021-01-01 01:01:16
6	Theodore Charts	0.02 s	C#	2021-01-14 01:22:46
7	Matthew Willacy	0.02 s	C#	2021-02-08 17:21:41
8	Toby Maynard	0.02 s	C#	2021-02-11 05:38:29
9	Yuwono Bangun Nagoro	0.02 s	C#	2021-02-20 20:00:30
10	Sebastian Sternberg	0.02 s	C#	2021-02-22 20:22:08

#	User	Runtime	Language	Date
1	David Cawthon	0.01 s	Common Lisp	2021-01-17 06:45:26

#	User	Runtime	Language	Date
1	Patrick Bahr	0.04 s	F#	2021-02-13 15:33:21
2	Tim Mondorf	0.04 s	F#	2021-12-01 09:59:32
3	Jacob Harris Cryer Kragh	0.04 s	F#	2022-06-05 17:48:24

#	User	Runtime	Language	Date
1	Jimmy Nejtron	0.00 s	Go	2024-12-11 15:08:44
2	Jim Ryan	0.08 s	Go	2021-01-01 04:31:58
3	Stephen Lineker-Miller	0.08 s	Go	2021-01-02 23:32:49
4	Ian Howell	0.08 s	Go	2021-01-11 20:38:37
5	T COM	0.08 s	Go	2021-01-12 15:13:38
6	Erlend Fonnes	0.08 s	Go	2021-01-30 20:45:14
7	Einar Kjellback	0.08 s	Go	2021-03-09 21:38:18
8	Norbert Voelker	0.08 s	Go	2021-04-09 23:22:18
9	Krzysztof Gibuła	0.08 s	Go	2021-04-20 00:14:15
10	dick move	0.08 s	Go	2021-05-29 19:24:19

#	User	Runtime	Language	Date
1	Hidden user	0.00 s	Haskell	2022-11-22 02:56:51
2	Sebastian Banert	0.00 s	Haskell	2023-09-25 23:17:48
3	Steinar Simonnes	0.00 s	Haskell	2024-02-07 10:50:04
4	Gustaf Pihl	0.00 s	Haskell	2024-04-12 02:56:48
5	Brent Yorgey	0.01 s	Haskell	2020-12-22 20:04:43
6	Andreas Wachs	0.01 s	Haskell	2020-12-23 21:20:31
7	Matthew Lutze	0.01 s	Haskell	2020-12-30 12:53:16
8	Andreas Ländle	0.01 s	Haskell	2021-01-02 18:26:06
9	Oisín Mac Fhearaí	0.01 s	Haskell	2021-01-06 03:05:45
10	Øyvind Almli	0.01 s	Haskell	2021-01-08 00:01:17

#	User	Runtime	Language	Date
1	Steve Sajeev	0.04 s	Java	2024-09-04 00:56:11
2	Guangyi Zhou	0.04 s	Java	2025-02-08 16:53:08
3	Goh Zhixuan Jeremiah	0.04 s	Java	2025-02-14 05:56:14
4	Daniel Gutierrez Duarte	0.04 s	Java	2025-02-26 13:19:04
5	Markus Bao	0.04 s	Java	2025-09-11 06:04:05
6	Lee Heng Sheng	0.05 s	Java	2024-05-01 09:24:05
7	Crystal Sharpe	0.06 s	Java	2020-12-22 04:55:39
8	Liam Keliher	0.06 s	Java	2020-12-22 09:10:27
9	Sven Rönnbäck	0.06 s	Java	2020-12-26 01:30:55
10	Kyle Kelly	0.06 s	Java	2020-12-29 05:02:04

#	User	Runtime	Language	Date
1	usuf amin	0.05 s	JavaScript (Node.js)	2023-11-30 07:07:16
2	Pranjal Paneru	0.05 s	JavaScript (Node.js)	2023-12-01 16:15:28
3	Hidden user	0.05 s	JavaScript (Node.js)	2024-08-10 07:14:59
4	Максим Войтенко	0.05 s	JavaScript (Node.js)	2025-02-26 14:46:50
5	Samuel Högfeldt	0.09 s	JavaScript (Node.js)	2022-08-27 12:51:43
6	Chris Wong	0.41 s	JavaScript (Node.js)	2021-02-01 21:26:14
7	Peter Kedemo	0.42 s	JavaScript (Node.js)	2020-12-25 22:43:49
8	Howard Tin Chi Chan	0.42 s	JavaScript (Node.js)	2021-01-31 09:08:38
9	John	0.42 s	JavaScript (Node.js)	2021-02-18 00:14:38
10	Antoine Bauri	0.42 s	JavaScript (Node.js)	2021-02-21 17:53:33

#	User	Runtime	Language	Date
1	Nicklas Utgaard	0.02 s	JavaScript (SpiderMonkey)	2020-12-25 15:05:05
2	Peter Menyes	0.02 s	JavaScript (SpiderMonkey)	2020-12-26 21:28:27
3	Bjørn Chr. Soltvedt	0.02 s	JavaScript (SpiderMonkey)	2020-12-27 13:33:43
4	Christian Cederquist	0.02 s	JavaScript (SpiderMonkey)	2023-01-10 16:17:23
5	Zach Tschetter	0.02 s	JavaScript (SpiderMonkey)	2023-04-16 18:03:51
6	Drake Farrokhi	0.02 s	JavaScript (SpiderMonkey)	2023-11-21 20:14:35
7	Yota Yamazaki	0.02 s	JavaScript (SpiderMonkey)	2023-11-30 18:01:49
8	Evan Magill	0.02 s	JavaScript (SpiderMonkey)	2024-04-20 07:47:59
9	Jimmy Gustafsson	0.02 s	JavaScript (SpiderMonkey)	2024-05-31 09:43:10

#	User	Runtime	Language	Date
1	Timothy Gaede	0.47 s	Julia	2024-03-29 06:31:04
2	Danny Robinson	0.60 s	Julia	2023-06-23 09:57:33

#	User	Runtime	Language	Date
1	Albert Pala	0.11 s	Kotlin	2021-06-12 20:38:21
2	Marit van Dijk	0.16 s	Kotlin	2021-09-17 08:54:56
3	Roger Bongers	0.18 s	Kotlin	2021-06-26 20:54:33
4	Ola Sundell	0.18 s	Kotlin	2022-02-21 15:51:47
5	Kelly Dance	0.18 s	Kotlin	2022-09-17 22:19:48
6	Martijn Muijsers	0.18 s	Kotlin	2024-05-29 10:40:10
7	Adam Rankin	0.19 s	Kotlin	2023-04-25 18:53:30
8	Zaw Myat	0.19 s	Kotlin	2024-02-03 01:40:12
9	Sara Valentina	0.19 s	Kotlin	2024-05-15 07:22:34
10	Troy Warmboe	0.21 s	Kotlin	2021-10-09 02:52:16

#	User	Runtime	Language	Date
1	Caleb Austin	0.00 s	Lua	2024-08-23 23:31:23

#	User	Runtime	Language	Date
1	Erik Kaufman	0.00 s	OCaml	2021-03-08 03:48:21
2	Jahid Hasan Imon	0.00 s	OCaml	2021-04-15 20:00:31
3	Fredrik Eriksson	0.00 s	OCaml	2024-10-23 20:12:05
4	Martin Stensgård	0.01 s	OCaml	2021-01-01 04:16:58

#	User	Runtime	Language	Date
1	Hidden user	0.00 s	Odin	2025-05-06 00:20:08

#	User	Runtime	Language	Date
1	Minh Ngô	0.00 s	Pascal	2020-12-11 12:23:11
2	Ingemar Ragnemalm	0.00 s	Pascal	2020-12-22 20:55:51
3	Khoa Ngo Duc Minh	0.00 s	Pascal	2021-10-05 12:41:33
4	David Connolly	0.00 s	Pascal	2022-07-06 15:37:14

#	User	Runtime	Language	Date
1	Loc Quan	0.01 s	PHP	2021-01-05 09:39:18
2	Helbin Grégory	0.01 s	PHP	2021-01-12 15:16:50
3	Renate	0.01 s	PHP	2021-04-09 02:39:02
4	cojonas1	0.01 s	PHP	2021-07-09 13:21:19
5	Andre Wahyudi	0.01 s	PHP	2022-12-12 10:37:20

#	User	Runtime	Language	Date
1	Hakan Kjellerstrand	0.02 s	Prolog	2023-02-08 23:14:20
2	Andriy Zyevakov	0.02 s	Prolog	2024-04-24 09:52:32

#	User	Runtime	Language	Date
1	Hasan Kalzi	0.02 s	Python 2	2022-06-18 10:22:43
2	Yanmarshus Bachtiar	0.03 s	Python 2	2020-12-23 06:42:54
3	Thomas Feld	0.03 s	Python 2	2021-05-21 08:18:34
4	Andrei Stoica	0.03 s	Python 2	2021-09-08 13:15:06
5	Agis Daniels	0.03 s	Python 2	2021-12-13 12:58:08
6	Gibransyah	0.03 s	Python 2	2022-04-02 05:29:42
7	Nguyen Thanh Trung	0.04 s	Python 2	2020-12-09 15:14:44
8	Noah Ó Donnaile	0.04 s	Python 2	2020-12-21 23:17:52
9	Johan Lyts	0.04 s	Python 2	2020-12-22 13:34:44
10	Hidden user	0.04 s	Python 2	2020-12-23 20:31:51

#	User	Runtime	Language	Date
1	Christofer Hallberg	0.04 s	Python 3	2022-09-05 00:01:27
2	Brandon Safarik	0.04 s	Python 3	2022-09-16 21:48:39
3	Morten Clausen	0.04 s	Python 3	2022-10-07 23:10:46
4	Hidden user	0.04 s	Python 3	2024-10-12 13:26:47
5	Rebecca Jackson	0.04 s	Python 3	2024-11-15 15:28:30
6	Srikavin S	0.04 s	Python 3	2025-02-02 09:07:40
7	Nicolas Ladendorf	0.04 s	Python 3	2025-04-11 22:01:44
8	Eduardo Alvarez Hernandez	0.04 s	Python 3	2025-04-11 22:07:54
9	Hidden user	0.04 s	Python 3	2025-04-11 22:08:15
10	Hidden user	0.04 s	Python 3	2025-04-11 22:21:00

#	User	Runtime	Language	Date
1	Hidden user	0.05 s	Ruby	2020-12-25 20:40:59
2	Hidden user	0.05 s	Ruby	2021-01-10 16:42:05
3	Donald Dong	0.05 s	Ruby	2021-02-21 06:53:58
4	Hadi Qovaizi	0.05 s	Ruby	2021-06-16 20:17:44
5	Thomas Feld	0.06 s	Ruby	2022-11-09 10:27:44
6	Noah Hessen Bjerke	0.06 s	Ruby	2022-11-30 00:02:09
7	Hakan Kjellerstrand	0.06 s	Ruby	2023-03-17 00:44:55
8	Gustav Elmqvist	0.06 s	Ruby	2023-03-28 18:27:16
9	Alexander Bilde Pedersen	0.06 s	Ruby	2023-05-16 16:24:41
10	Eugen Neagoe	0.06 s	Ruby	2023-05-25 17:16:08

#	User	Runtime	Language	Date
1	Zach Ventimiglia	0.01 s	Smalltalk	2025-03-24 14:43:59

#	User	Length	Language	Date
1	Michael Wichlinski	1008	Ada	2025-03-26 17:20:29

#	User	Length	Language	Date
1	Chenzhang Hu	29	Bash	02:13:57
2	Thomas Feld	43	Bash	2023-09-26 14:42:26

#	User	Length	Language	Date
1	Martin Blom	102	C	2024-01-29 12:01:38
2	Matthew Weston	233	C	2022-01-03 00:54:19
3	Stian Toften	235	C	2021-04-19 00:08:49
4	Emil Wihlander	236	C	2021-01-01 22:59:19
5	Allan Nouri	239	C	2024-04-03 16:05:41
6	Hidden user	241	C	2024-01-12 00:42:09
7	HARIPRASATH S	242	C	2025-05-07 18:30:31
8	Maverick Hartono	243	C	2022-07-20 19:45:28
9	Velvet	249	C	2020-12-31 16:38:16
10	Emilia Harr	253	C	2020-12-22 11:58:46

#	User	Length	Language	Date
1	Deci Bel	280	C#	2024-12-11 18:26:12
2	Anthony Ye	386	C#	2022-12-11 18:10:05
3	Esty Crow	397	C#	2022-12-06 23:50:45
4	Nathan Andrews	405	C#	2024-08-23 22:54:04
5	Alexander Lindberg	419	C#	2021-09-20 14:59:22
6	Göran Andersson	449	C#	2022-05-08 19:14:49
7	Eric Weiss	479	C#	2022-05-09 23:09:12
8	Victor Hultén Mattsson	501	C#	2021-07-05 23:36:32
9	Ahmet Murat Gençay	511	C#	2023-09-07 17:30:50
10	Benjamin Bilbeau	513	C#	2024-07-19 22:23:29

#	User	Length	Language	Date
1	Frans Meulenbroeks	98	C++	2025-02-23 09:28:30
2	ct	168	C++	2024-09-04 01:08:48
3	陳鯨旭	187	C++	2024-12-25 06:29:48
4	Fetene Abebe	195	C++	2022-07-19 20:08:21
5	Alex Rudzenis	203	C++	2021-08-29 22:34:43
6	a_b__c	204	C++	2021-01-03 17:11:38
7	Mohamed Qerras	205	C++	2020-12-27 02:11:37
8	YvelX	205	C++	2021-10-26 13:33:19
9	Timothy White	206	C++	2021-10-11 22:51:26
10	Steven Tang	207	C++	2020-12-23 04:29:38

#	User	Length	Language	Date
1	David Cawthon	262	Common Lisp	2021-01-17 06:45:26

#	User	Length	Language	Date
1	Jacob Harris Cryer Kragh	388	F#	2022-06-05 17:48:24
2	Tim Mondorf	417	F#	2021-12-01 09:59:32
3	Patrick Bahr	1893	F#	2021-02-13 15:33:21

#	User	Length	Language	Date
1	dick move	231	Go	2021-05-29 19:24:19
2	Hidden user	253	Go	2021-12-17 10:55:52
3	Einar Kjellback	278	Go	2021-03-09 21:38:18
4	Krzysztof Gibuła	296	Go	2021-04-20 00:14:15
5	T COM	308	Go	2021-01-12 15:13:38
6	Erlend Fonnes	311	Go	2021-01-30 20:45:14
7	Ian Howell	337	Go	2021-01-11 20:38:37
8	Lucca Dias	342	Go	2021-11-14 15:15:30
9	Jim Ryan	401	Go	2021-01-01 04:31:58
10	Kok Dith	419	Go	2021-07-30 18:25:24

#	User	Length	Language	Date
1	Brent Yorgey	71	Haskell	2020-12-22 20:04:43
2	Amar Topalovic	108	Haskell	2021-02-04 22:01:52
3	Monique Oliveira	109	Haskell	2021-07-12 17:40:35
4	Tim Put	114	Haskell	2021-04-20 07:35:33
5	Aaron Lengyel	129	Haskell	2021-11-01 10:19:37
6	Steinar Simonnes	134	Haskell	2021-01-22 11:45:38
7	Sebastian Banert	143	Haskell	2023-09-25 23:17:48
8	Freek van Keulen	147	Haskell	2021-02-15 11:43:28
9	Daniel Cabral	162	Haskell	2022-03-30 12:33:59
10	Øyvind Almli	183	Haskell	2021-01-08 00:01:17

#	User	Length	Language	Date
1	Thomas Anung Basuki	351	Java	2025-07-03 05:06:19
2	Schuyler Moelhoff	356	Java	2021-02-19 22:44:58
3	Kumar Chakraborty	357	Java	2023-09-10 15:26:38
4	Jamie Walton	365	Java	2021-01-19 02:15:23
5	Thomas King	371	Java	2020-12-22 01:28:57
6	Nicholas Hanson	385	Java	2021-01-19 19:08:08
7	Mark van Helvoort	388	Java	2022-04-15 14:58:25
8	Carter Henderson	389	Java	2021-09-30 17:51:12
9	Aditya Patwardhan	392	Java	2022-07-20 17:31:05
10	Hidden user	395	Java	2021-09-28 15:24:07

#	User	Length	Language	Date
1	Antoine Bauri	297	JavaScript (Node.js)	2021-02-21 17:53:33
2	Chris Wong	408	JavaScript (Node.js)	2021-02-01 21:26:14
3	Peter Kedemo	416	JavaScript (Node.js)	2020-12-25 22:43:49
4	Sture Svensson	440	JavaScript (Node.js)	2021-03-18 21:11:05
5	Максим Войтенко	448	JavaScript (Node.js)	2025-02-26 14:46:50
6	Howard Tin Chi Chan	483	JavaScript (Node.js)	2021-01-31 09:08:38
7	Samuel Högfeldt	557	JavaScript (Node.js)	2022-08-27 12:51:43
8	Hidden user	575	JavaScript (Node.js)	2023-08-13 21:39:00
9	Niamh Limerick	590	JavaScript (Node.js)	2022-04-07 18:24:04
10	Jakob Saadbye	621	JavaScript (Node.js)	2021-03-16 10:51:50

#	User	Length	Language	Date
1	Jimmy Gustafsson	60	JavaScript (SpiderMonkey)	2024-05-31 09:43:10
2	Christian Cederquist	127	JavaScript (SpiderMonkey)	2023-01-10 16:17:23
3	Evan Magill	155	JavaScript (SpiderMonkey)	2024-04-20 07:47:59
4	Peter Menyes	157	JavaScript (SpiderMonkey)	2020-12-26 21:28:27
5	Bjørn Chr. Soltvedt	157	JavaScript (SpiderMonkey)	2020-12-27 13:33:43
6	Zach Tschetter	196	JavaScript (SpiderMonkey)	2023-11-30 19:56:12
7	Drake Farrokhi	245	JavaScript (SpiderMonkey)	2023-11-21 20:14:35
8	Yota Yamazaki	251	JavaScript (SpiderMonkey)	2023-11-30 18:01:49
9	Nicklas Utgaard	442	JavaScript (SpiderMonkey)	2020-12-25 15:05:05

#	User	Length	Language	Date
1	Danny Robinson	51	Julia	2023-06-23 09:57:33
2	Timothy Gaede	175	Julia	2024-03-29 06:31:04

#	User	Length	Language	Date
1	Nicholas Johnson	191	Kotlin	2021-04-19 02:12:20
2	Kelly Dance	193	Kotlin	2022-09-17 22:19:48
3	Chris Johnson	248	Kotlin	2025-01-29 22:30:51
4	Karl Johan Heimark	278	Kotlin	2024-12-11 21:03:10
5	jonas lølanl	282	Kotlin	2024-12-11 21:02:46
6	Troy Warmboe	284	Kotlin	2021-10-09 02:52:16
7	Roger Bongers	321	Kotlin	2021-06-26 20:54:33
8	Adam Rankin	328	Kotlin	2023-04-25 18:53:30
9	Marit van Dijk	365	Kotlin	2021-09-17 08:54:56
10	Sara Valentina	404	Kotlin	2024-05-15 07:22:34

#	User	Length	Language	Date
1	Caleb Austin	229	Lua	2024-08-23 23:31:23

#	User	Length	Language	Date
1	Fredrik Eriksson	241	OCaml	2024-10-23 20:12:05
2	Jahid Hasan Imon	265	OCaml	2021-04-15 20:00:31
3	Erik Kaufman	338	OCaml	2021-03-08 03:48:21
4	Martin Stensgård	626	OCaml	2021-01-01 04:16:58

#	User	Length	Language	Date
1	Hidden user	410	Odin	2025-05-06 00:20:08

#	User	Length	Language	Date
1	Khoa Ngo Duc Minh	216	Pascal	2021-10-05 12:41:33
2	Ingemar Ragnemalm	249	Pascal	2020-12-22 20:55:51
3	Minh Ngô	264	Pascal	2020-12-11 12:23:11
4	David Connolly	301	Pascal	2022-07-06 15:37:14

#	User	Length	Language	Date
1	Renate	188	PHP	2021-04-09 02:39:02
2	cojonas1	235	PHP	2021-07-09 13:21:19
3	Loc Quan	275	PHP	2021-01-05 09:39:18
4	Helbin Grégory	351	PHP	2021-01-12 15:16:50
5	Andre Wahyudi	461	PHP	2022-12-12 10:37:20

#	User	Length	Language	Date
1	Hakan Kjellerstrand	154	Prolog	2023-02-08 23:14:20
2	Andriy Zyevakov	565	Prolog	2024-04-24 09:52:32

#	User	Length	Language	Date
1	Andreas Björklund	107	Python 2	2021-03-23 16:27:38
2	Thomas Feld	131	Python 2	2021-05-21 08:18:34
3	Noah Ó Donnaile	154	Python 2	2020-12-21 23:17:52
4	Nguyen Thanh Trung	160	Python 2	2020-12-09 15:14:44
5	Johan Lyts	167	Python 2	2020-12-22 13:34:44
6	Gibransyah	175	Python 2	2022-04-02 05:24:57
7	Hidden user	189	Python 2	2020-12-23 20:31:51
8	Agis Daniels	214	Python 2	2021-12-13 12:58:08
9	Andrei Stoica	254	Python 2	2021-09-08 13:15:06
10	Yanmarshus Bachtiar	261	Python 2	2020-12-23 06:42:54

#	User	Length	Language	Date
1	Clement Oh	48	Python 3	2023-06-02 07:44:03
2	Gustav Elmqvist	55	Python 3	2023-03-28 18:03:49
3	Tai Tze Kin	57	Python 3	2024-05-02 09:27:23
4	Hidden user	58	Python 3	2021-01-05 05:23:50
5	Christopher Jernberg	58	Python 3	2023-01-07 18:42:44
6	Morten Clausen	62	Python 3	2022-10-07 23:10:46
7	Markus Andreasson	62	Python 3	2023-01-13 19:33:48
8	Alexandre Charland	64	Python 3	2024-12-27 02:10:17
9	Tam Keng Hong	69	Python 3	2023-01-04 19:57:50
10	Hidden user	78	Python 3	2025-09-01 16:42:25

#	User	Length	Language	Date
1	Chenzhang Hu	20	Ruby	2024-08-22 17:01:31
2	Thomas Feld	28	Ruby	2022-11-09 10:27:44
3	Gustav Elmqvist	32	Ruby	2023-03-28 18:50:54
4	Clement Oh	49	Ruby	2023-11-09 16:03:52
5	Hakan Kjellerstrand	57	Ruby	2023-03-17 00:54:15
6	Hidden user	59	Ruby	2021-01-10 16:42:05
7	Hidden user	64	Ruby	2020-12-25 20:40:59
8	Noah Hessen Bjerke	103	Ruby	2022-11-30 00:02:09
9	Alexander Bilde Pedersen	108	Ruby	2023-05-16 16:24:41
10	Eugen Neagoe	109	Ruby	2023-05-25 17:16:08

#	User	Length	Language	Date
1	Vincent Lagerros	140	Rust	2024-12-10 22:15:51
2	Emil Dichmann	235	Rust	2025-09-02 22:07:51
3	Andriy Semenistiy	353	Rust	2021-02-15 20:58:36
4	Bas Dirks	358	Rust	2021-12-31 06:40:39
5	Nathaniel Risum	418	Rust	2025-04-01 14:18:49
6	Hidden user	445	Rust	2020-12-27 21:45:28
7	Thomas	450	Rust	2020-12-23 22:59:31
8	Théo Dislay	451	Rust	2021-03-26 23:41:32
9	David Rasch	477	Rust	2021-01-12 16:35:36
10	Isak Jägberg	526	Rust	2021-01-05 12:22:28

#	User	Length	Language	Date
1	Zach Ventimiglia	540	Smalltalk	2025-03-24 14:43:59

Solution running time distribution