Odd WCA stats/ Stats request Thread

One Wheel · Mar 15, 2016

Sorry if this has been done, but I can't find it:
Quintiles (or deciles or percentiles, but quintiles make sense to me) for all events? I don't have the right tools to efficiently crunch the data. I can do it, but I suspect somebody out there has the tools to do it very easily. The information I'm looking for is like this, but for the rest of the events:

4x4 Average
WR: 26.0
Top 20%: 0:56.9
40%: 1:11.3
60%: 1:27.8
80%: 1:55.0
Slowest official: 8:03.1

It just makes a better benchmark than saying "if my best 3x3 time were official, I would rank 24,804th in the world."

Kit Clement · Mar 21, 2016

Updated at the request of TheBeard™.

	Competitor	Number of Competitions
1	Kit Clement	20
	Bob Burton	20
3	Tim Reynolds	17
	Anthony Brooks	17
	Christopher Olson	17
	Brandon Mikel	17
7	Ryan DeLine	16
8	Walker Welch	15
	Shelley Chang	15
	Takao Hashimoto (橋本貴夫)	15
	Dan Cohen	15
12	Jim Mertens	14
	Adam Zamora	14
	Rowe Hessler	14
	Tyson Mao (毛台勝)	14
	Shaden Smith	14
17	Evan Liu	13
	Corey Sakowski	13
	Bruce Norskog	13
	Dave Campbell	13
	Chester Lian	13
	Sreeram Venkatarao	13
23	AJ Blair	12
	James Hildreth	12
	Jeremy Fleischman	12
	Kian Barry	12
	Felix Lee	12
	Chris Hardwick	12
	John Brechon	12
	Joshua Feran	12
	David Woner	12
	Pavan Ravindra	12
33	Mike Hughey	11
	Ethan Crislip	11
	Jaclyn Sawler	11
	James LaChance	11
	Chris Krueger	11
	Shane Rowland	11
	Timothy Sun	11
	Dan Selzer	11
	Phil Yu	11
	Waris Ali	11
	Kennan LeJeune	11
44	Nathan Dwyer	10
	Lauren Klemz	10
	Tristan Wright	10
	Bobby D'Angelo	10
	Kyle Barry	10
	Ryan Olson	10
	John Tamanas	10
	Anthony Hsu	10
	Rebecca Hughey	10
	Marie Hughey	10
	Noah Arthurs	10
	Kevin Hays	10
	Aina Hashimoto (橋本愛那)	10
	Leyan Lo	10
	Kevin Costello III	10
	Jason Baum	10
	Lucas Etter	10
61	Mark Boyanowski	9
	Andy Smith	9
	Andrew Hwang	9
	Aaron Abramowitz	9
	Quentin McLean	9
	Sam Boyles	9
	Gavin Nelson	9
	Chris Tran	9
	Daniel Hayes	9
	Brian Brooks	9
	Kevin Zhou	9
	Justin Jaffray	9
	Carson Penticuff	9
	Frank Morris	9
	Livia Kleiner	9
	Keaton Ellis	9
	Andy Huang	9
	Eric Zhao	9
	Justin Mallari	9
	Zach Goldman	9
	Brandon Satterstrom	9
	Mike Kotch	9
	Ian Winokur	9
	Bryan Logan	9
	Damian Bias	9
	Henry Savich	9
	Chris Braiedy	9
	Drew Brads	9
89	Weston Mizumoto	8
	Michael Young	8
	Andy Denney	8
	Devin Corr-Robinett	8
	Clark Cheng	8
	Joe Epstein	8
	Jackson Warley	8
	Casey Pernsteiner	8
	Matthew Bahner	8
	Alex Ozer	8
	Arthur Adams	8
	Dan Dzoan	8
	Lucas Garron	8
	Michael Gottlieb	8
	Chris Dzoan	8
	Ravi Fernando	8
	Shotaro Makisumi (牧角章太郎)	8
	Daniel Lo	8
	Myles Casanas	8
	Jonah Crosby	8
	Collin Burns	8
	Daniel Rose-Levine	8
	Adomous Wright	8
	Andrew Ricci	8
	Blake Thompson	8
	Christopher Resendiz	8
	Kate Sosik	8
	James Donahue	8
	Ilkyoo Choi (최일규)	8
	Mike Stewart	8
	Samantha Raskind	8
	Brandon Delacruz	8
	Julianna Bennett	8
	Louis Cormier	8
	Alese Devin	8
	Zachary Nikolaus	8
	Phillip Lewicki	8
	Dylan Hughlett	8
	Daniel Kottenstette	8
	Jasmine Lee	8
	Peter Still	8

Code:

results = read.csv("WCA_export_Results.tsv", sep="\t", encoding="UTF-8")
competitions = read.csv("WCA_export_Competitions.tsv", sep="\t", encoding="UTF-8")
competitionsUSA = competitions[competitions$countryId == "USA",]

competitionsUSA_list = competitionsUSA$id

resultsUSA = results[results$competitionId %in% competitionsUSA_list,]

competitionsUSA$State = lapply(strsplit(as.character(competitionsUSA$cityName), ", "), "[", 2)

mergedtable = merge(competitionsUSA, resultsUSA, by.x = 'id', by.y = 'competitionId')
mergedtable = mergedtable[mergedtable$id != "FMCUSA2014",]
mergedtable = mergedtable[mergedtable$id != "FMCUSA2015",]

countstates = function(name) {
  dummy = mergedtable[mergedtable$personName == as.character(name),]
  number = length(unique(dummy$State))
  return(number)
}

competitors = as.character(unique(mergedtable$personName))
numComps = sapply(competitors, countstates) #really slow
outTable = as.data.frame(cbind(competitors, numComps))
outTable = outTable[order(-numComps),]
outTable$competitors = as.character(outTable$competitors)

con <- file("outTable.csv", open="w", encoding="UTF-8")
write.table(outTable, con, sep=",",row.names=FALSE)
close(con)

Mikel · Mar 21, 2016

Kit Clement said:
Updated at the request of TheBeard™.

Competitor Number of Competitions
1 Kit Clement 20
Bob Burton 20
3 Tim Reynolds 17
Anthony Brooks 17
Christopher Olson 17
Brandon Mikel 17
7 Ryan DeLine 16
8 Walker Welch 15
Shelley Chang 15
Takao Hashimoto (橋本貴夫) 15
Dan Cohen 15
12 Jim Mertens 14
Adam Zamora 14
Rowe Hessler 14
Tyson Mao (毛台勝) 14
Shaden Smith 14
17 Evan Liu 13
Corey Sakowski 13
Bruce Norskog 13
Dave Campbell 13
Chester Lian 13
Sreeram Venkatarao 13
23 AJ Blair 12
James Hildreth 12
Jeremy Fleischman 12
Kian Barry 12
Felix Lee 12
Chris Hardwick 12
John Brechon 12
Joshua Feran 12
David Woner 12
Pavan Ravindra 12
33 Mike Hughey 11
Ethan Crislip 11
Jaclyn Sawler 11
James LaChance 11
Chris Krueger 11
Shane Rowland 11
Timothy Sun 11
Dan Selzer 11
Phil Yu 11
Waris Ali 11
Kennan LeJeune 11
44 Nathan Dwyer 10
Lauren Klemz 10
Tristan Wright 10
Bobby D'Angelo 10
Kyle Barry 10
Ryan Olson 10
John Tamanas 10
Anthony Hsu 10
Rebecca Hughey 10
Marie Hughey 10
Noah Arthurs 10
Kevin Hays 10
Aina Hashimoto (橋本愛那) 10
Leyan Lo 10
Kevin Costello III 10
Jason Baum 10
Lucas Etter 10
61 Mark Boyanowski 9
Andy Smith 9
Andrew Hwang 9
Aaron Abramowitz 9
Quentin McLean 9
Sam Boyles 9
Gavin Nelson 9
Chris Tran 9
Daniel Hayes 9
Brian Brooks 9
Kevin Zhou 9
Justin Jaffray 9
Carson Penticuff 9
Frank Morris 9
Livia Kleiner 9
Keaton Ellis 9
Andy Huang 9
Eric Zhao 9
Justin Mallari 9
Zach Goldman 9
Brandon Satterstrom 9
Mike Kotch 9
Ian Winokur 9
Bryan Logan 9
Damian Bias 9
Henry Savich 9
Chris Braiedy 9
Drew Brads 9
89 Weston Mizumoto 8
Michael Young 8
Andy Denney 8
Devin Corr-Robinett 8
Clark Cheng 8
Joe Epstein 8
Jackson Warley 8
Casey Pernsteiner 8
Matthew Bahner 8
Alex Ozer 8
Arthur Adams 8
Dan Dzoan 8
Lucas Garron 8
Michael Gottlieb 8
Chris Dzoan 8
Ravi Fernando 8
Shotaro Makisumi (牧角章太郎) 8
Daniel Lo 8
Myles Casanas 8
Jonah Crosby 8
Collin Burns 8
Daniel Rose-Levine 8
Adomous Wright 8
Andrew Ricci 8
Blake Thompson 8
Christopher Resendiz 8
Kate Sosik 8
James Donahue 8
Ilkyoo Choi (최일규) 8
Mike Stewart 8
Samantha Raskind 8
Brandon Delacruz 8
Julianna Bennett 8
Louis Cormier 8
Alese Devin 8
Zachary Nikolaus 8
Phillip Lewicki 8
Dylan Hughlett 8
Daniel Kottenstette 8
Jasmine Lee 8
Peter Still 8

Code:

results = read.csv("WCA_export_Results.tsv", sep="\t", encoding="UTF-8") competitions = read.csv("WCA_export_Competitions.tsv", sep="\t", encoding="UTF-8") competitionsUSA = competitions[competitions$countryId == "USA",] competitionsUSA_list = competitionsUSA$id resultsUSA = results[results$competitionId %in% competitionsUSA_list,] competitionsUSA$State = lapply(strsplit(as.character(competitionsUSA$cityName), ", "), "[", 2) mergedtable = merge(competitionsUSA, resultsUSA, by.x = 'id', by.y = 'competitionId') mergedtable = mergedtable[mergedtable$id != "FMCUSA2014",] mergedtable = mergedtable[mergedtable$id != "FMCUSA2015",] countstates = function(name) { dummy = mergedtable[mergedtable$personName == as.character(name),] number = length(unique(dummy$State)) return(number) } competitors = as.character(unique(mergedtable$personName)) numComps = sapply(competitors, countstates) #really slow outTable = as.data.frame(cbind(competitors, numComps)) outTable = outTable[order(-numComps),] outTable$competitors = as.character(outTable$competitors) con <- file("outTable.csv", open="w", encoding="UTF-8") write.table(outTable, con, sep=",",row.names=FALSE) close(con)

I've always liked this stat. I'll be moving to 18 states after KCubing 2016!

Kit Clement · Mar 21, 2016

Requested by Jay.

Name	Time
1	Chuang Zhou (周闯)	31.81
2	Daniel Chudecki	34.88
3	Jayden McNeill	38.35
4	Martial Bonarek	40.28
5	Zane Carney	40.68
6	Yuki Yamamoto (山本祐輝)	42.00
7	Roman Strakhov	42.03
8	Gabriel Dechichi Barbar	42.72
9	Anton Rostovikov	42.84
10	Amos Tay Swee Hui	43.00
11	Bence Barát	43.78
12	John Edison Ubaldo	44.38
13	Gianfranco Huanqui	46.24
14	Ainesh Sevellaraja	46.27
	Janne Lehtimäki	46.27
16	Ragil Setyadi	46.34
17	Matthew Hollinger	47.05
18	Taku Yanai (矢内拓)	47.78
19	Noah Arthurs	47.88
20	Reynaldo Mape Jr.	48.00
21	Marcin Kowalczyk	48.02
22	Feliks Zemdegs	48.13
23	Hongbin Chang (常宏彬)	48.18
24	Simon Lim	48.19
25	Asier Cardoso Sánchez	48.36
26	Witali Bułatow	48.46
27	Aron Puddy-Mathew	48.47
28	Cale Schoon	48.53
29	Gabriel Alejandro Orozco Casillas	48.68
30	Marcell Endrey	48.90
31	Glenn Mark Salgado	49.13
32	Daniel Sheppard	49.19
33	Adrian Lehmann	49.30
34	Jakob Kogler	49.55
35	Francisco Javier Lemes Sáez	49.72
36	Vojtěch Dvořák	49.86
37	Chen Zhu (朱晨)	49.88
38	Oliver Frost	50.08
39	Alessandro Solito	50.31
40	Walter Pereira Rodrigues de Souza	50.33
41	Muhammad Iril Khairul Anam	50.59
42	Liping Jia (贾立平)	50.77
43	Preeda Hongpimolmas (ปรีดา หงส์พิมลมาศ)	50.88
44	Tomás Mansilla	50.90
45	Wojciech Szatanowski	51.08
46	Aan Candra Nugroho	51.12
47	Maciej Mancewicz	51.47
48	Ramadan Sulejman	51.52
49	Roberto Antonio Ocmin Baráybar	51.53
50	Tomoyuki Hiraide (平出智之)	51.65
51	Yang Hu (胡扬)	51.79
52	Yuta Okada (岡田雄太)	51.81
	Ha Min Oh (오해민)	51.81
54	Jianyu Que (阙剑宇)	51.84
55	Lucas Benito Rolando	51.88
	Tao Yu (喻韬)	51.88
57	Yucheng Chen (陈裕铖)	51.98
58	Oleksandr Ivanchak (Олександр Іванчак)	52.13
59	Xin Shi (石欣)	52.15
60	Yuhei Takagi (高木佑平)	52.16
61	Antoine Cantin	52.28
62	Jorge Castillo Matas	52.33
63	Roberto Bentivoglio	52.39
64	Sesi Cadmus	52.40
65	Sei Sugama (洲鎌星)	52.77
66	Akira Misawa (三沢昂)	52.80
67	Riley Woo	52.81
68	Wojciech Moska	52.90
69	Sydney Weaver	52.91
70	Tse-Kan Lin (林哲侃)	52.96
71	Marcin Zalewski	53.05
72	Gregor Billing	53.11
73	Eric Limeback	53.15
74	Wakhid Wahyu Prasojo	53.21
75	JaeSeong Choe (최재성)	53.31
76	Sunil Kumar Madikanti	53.52
77	Alexander Lau	53.54
78	Parsa Saeed Nia (پارسا سعیدنیا)	53.61
79	Haiyan Zhuang (庄海燕)	53.68
80	Victor Cullot	53.91
81	Abhijeet Ghodgaonkar	54.08
82	Zhi Qiao (乔智)	54.15
83	Andrey Ivanov	54.19
84	Rafał Guzewicz	54.22
85	Grzegorz Jałocha	54.40
86	Tomas Kristiansson	54.77
87	Diego Bojunga Meneghetti	54.82
88	Jack Cai	54.91
89	Olli Vikstedt	55.00
	Sukant Koul	55.00
91	Yuhui Xu (许宇辉)	55.11
92	Yumu Tabuchi (田渕雄夢)	55.16
93	Misael Gómez Soria	55.27
94	Chester Lian	55.36
95	Tianyu Zhao (赵天愉)	55.40
96	Sebastian Werb	55.41
97	Wilson Tan Wei Siun	55.65
98	Nikhil Mande	55.77
99	Pedro Santos Guimarães	55.83
100	Julian David	55.88
	Jun-Hyuk Jang	55.88
102	Kou Oobatake (大畠功)	55.90
103	Shiori Sato (佐藤詩織)	55.94
104	Jun Xu (徐俊)	56.03
105	Andreas Pohl	56.06
106	Yudanis Taqwin Rohman	56.09
107	Bill Wang	56.18
108	Mike Hughey	56.25
109	Akash Rupela	56.28
110	Liliya Kamaltdinova	56.31
111	Zhihuang Chen (陈志煌)	56.33
112	Vincent Hartanto Utomo	56.39
113	Junwei Zhao (赵俊威)	56.41
114	Dennis Strehlau	56.43
	Yu Nakajima (中島悠)	56.43
116	Oleg Gritsenko	56.55
117	Kevin Montano	56.69
118	Dmitry Karyakin	56.71
119	Tom Nelson	56.76
120	Linus Fresz	56.77
121	Colin Boyd	56.78
122	Tim Wong	56.88
123	Chi-Lun Hung (洪啟倫)	56.91
124	Israel Fraga da Silva	56.93
125	Callum Hales-Jepp	56.99
126	Matthew Sheerin	57.11
127	Ville Seppänen	57.19
128	Arvid Skarrie	57.21
129	François Courtès	57.22
130	Artem Savosik	57.23
131	Simon Westlund	57.28
132	Timothy Sun	57.30
133	Tong Jiang (蒋彤)	57.41
134	Hari Anirudh	57.55
135	Ryan Przybocki	57.64
136	Chunjie Shan (单淳劼)	57.67
137	Ryo Kozawa (小澤諒)	57.71
138	Alexander Yu	57.80
139	Takayuki Ookusa (大艸尊之)	57.88
140	Bin Huang (黄斌)	57.90
	Su Xu (徐粟)	57.90
142	Sebastiano Tronto	57.94
143	Xitian Luo (罗习添)	57.97
	Tomasz Korzeniewski	57.97
	Rustam Valeev	57.97
146	Jong-Ho Jeong (정종호)	58.02
147	Andrew Le	58.03
148	Mark Boyanowski	58.10
149	Jael Riggenbach	58.29
150	Natán Riggenbach	58.35
151	Evan Liu	58.36
152	Oto Aoyagi (青柳吟)	58.44
153	Kai Jiptner	58.55
154	Cornelius Dieckmann	58.65
155	Meng'an Pu (浦梦安)	58.66
	Didiet Aditya Bayu Kusuma	58.66
157	Milán Baticz	58.72
158	Kaijun Lin (林恺俊)	58.74
159	Yehude Rudy Canaza Apaza	58.98
160	Angel Lim	59.00
	Fernando Israel Zúñiga Macedo	59.00
162	Matteo Colombo	59.05
163	Chun Lin (林春)	59.06
164	Corey Sakowski	59.11
165	Christian Lacquio	59.16
166	Sreeram Venkatarao	59.22
167	Shivam Bansal	59.25
168	Aldo Feandri	59.28
169	Bhargav Narasimhan	59.30
170	Ivo Bakker	59.34
171	István Kocza	59.41
172	Jia-Hong Lu (陸嘉宏)	59.53
173	Andrei Dăian	59.55
	Berta García Parra	59.55
175	Kabyanil Talukdar	59.58
176	Yiwei Liu (刘伊玮)	59.59
177	Rowe Hessler	59.66
178	Yongqiang Peng (彭永强)	59.67
179	Yuxin Wang (王宇欣)	59.83
180	Evan Brown	59.88

The code I used to write this is easily substituted for any event or barrier, so if you're interested to see any "first fastest sub-X single in Y" request, let me know.

Evan Liu · Mar 21, 2016

Last week at Kharkiv Special 2016, 3x3 first and second place tied in average, with Ihor Bilchenko getting first due to a better single.
This week at Dnepr Cube Days 2016, 3x3 first and second place tied in average, with Ihor Bilchenko getting second due to a worse single.

Calode · Mar 22, 2016

What cubers would you need for their rankings to form a basis for R^18 (number of events). Finishing up linear algebra and can't get this stuff out of my head.

guysensei1 · Mar 26, 2016

What's the smallest margin (% wise) that a record (NR,CR,WR) was broken by? 0% is not counted.

Robert-Y · Mar 26, 2016

Well this isn't the answer but it might be up there: Sameer once took the 7x7x7 single NR off me, shaving just 0.03 seconds off the previous record: 3:18.86 -> 3:18.83 which is a 0.015% improvement

AlexMaass · Mar 26, 2016

Longest WCA last name? We got someone named Michael Humuhumunukunukuapua'a signed up for Manhasset.

cuberkid10 · Mar 27, 2016

AlexMaass said:
Humuhumunukunukuapua

The only reason I know how to pronounce that is because it's a High School Music 2 song xD

Cale S · Mar 27, 2016

AlexMaass said:
Longest WCA last name? We got someone named Michael Humuhumunukunukuapua'a signed up for Manhasset.

this is longer
https://www.worldcubeassociation.org/results/p.php?i=2013PAPA03

Isaac Lai · Mar 27, 2016

AlexMaass said:
Longest WCA last name? We got someone named Michael Humuhumunukunukuapua'a signed up for Manhasset.

https://www.speedsolving.com/forum/showthread.php?26121-Odd-WCA-stats-Stats-request-Thread/page408

Last post

guysensei1 · Mar 29, 2016

Who has the most MBLD attempts where all of them are n/n, ie all cubes solved?

Berd · Mar 29, 2016

guysensei1 said:
Who has the most MBLD attempts where all of them are n/n, ie all cubes solved?

I have 4 attempts with none!

joshsailscga · Mar 29, 2016

Robert-Y said:
Well this isn't the answer but it might be up there: Sameer once took the 7x7x7 single NR off me, shaving just 0.03 seconds off the previous record: 3:18.86 -> 3:18.83 which is a 0.015% improvement

Wow. That even beats the 4x4 24.67 -> 24.66 (.041%)

AlexMaass · Mar 29, 2016

Cale S said:
this is longer
https://www.worldcubeassociation.org/results/p.php?i=2013PAPA03

how about without -?

turtwig · Apr 11, 2016

https://www.worldcubeassociation.org/results/p.php?i=2008ZHUA01
Better 3BLD mean than sighted single

hamfaceman · Apr 11, 2016

turtwig said:
https://www.worldcubeassociation.org/results/p.php?i=2008ZHUA01
Better 3BLD mean than sighted single

I'm pretty sure that this has been previously mentioned. Haiyan only does BLD and practices it during 3x3 rounds.

LarsN · Apr 12, 2016

Can someone please list a top10 for most nr during his/her career?

I've searched the forum but only found a result from 2010.

Lid · Apr 12, 2016

LarsN said:
Can someone please list a top10 for most nr during his/her career?

I've searched the forum but only found a result from 2010.

If you only count NR only status here is everyone with 100 or more NRs:

Code:

222	2006BUUS01	Henrik Buus Aagaard (m), Denmark
200	2012PATE01	Antonie Paterakis (m), Greece
164	2012BEAH01	Ciarán Beahan (m), Ireland
148	2010OMUL02	Matic Omulec (m), Slovenia
143	2010MOND01	Pablo Nicolás Oshiro Mondoñedo (m), Peru
136	2005AKKE01	Erik Akkersdijk (m), Netherlands
135	2005BATI01	Milán Baticz (m), Hungary
130	2008WEST02	Simon Westlund (m), Sweden
126	2010VYNN01	Ivan Vynnyk (Іван Винник) (m), Ukraine
122	2011KUDA01	Nurym Kudaibergen (m), Kazakhstan
121	2009MAGN02	Hilmar Magnusson (m), Iceland
120	2008BARA01	Bence Barát (m), Hungary
104	2004KRIG01	Gunnar Krig (m), Sweden
100	2012ADLO01	Aramayis Adloyan (Արամայիս Ադլոյան) (m), Armenia
100	2013CONT01	Oscar Alberto Ceballos Contreras (m), Venezuela

Same list If you count ARs & WRs also (which is a NR also after all)

Code:

236	2009ZEMD01	Feliks Zemdegs (m), Australia
227	2006BUUS01	Henrik Buus Aagaard (m), Denmark
200	2012PATE01	Antonie Paterakis (m), Greece
191	2005AKKE01	Erik Akkersdijk (m), Netherlands
165	2012BEAH01	Ciarán Beahan (m), Ireland
148	2010OMUL02	Matic Omulec (m), Slovenia
143	2010MOND01	Pablo Nicolás Oshiro Mondoñedo (m), Peru
142	2005BATI01	Milán Baticz (m), Hungary
136	2008BARA01	Bence Barát (m), Hungary
135	2007COMP01	Emile Compion (m), South Africa
134	2008WEST02	Simon Westlund (m), Sweden
126	2010VYNN01	Ivan Vynnyk (Іван Винник) (m), Ukraine
122	2011KUDA01	Nurym Kudaibergen (m), Kazakhstan
121	2009MAGN02	Hilmar Magnusson (m), Iceland
120	2004KRIG01	Gunnar Krig (m), Sweden
116	2003VAND01	Lars Vandenbergh (m), Belgium
107	2009BEAR01	Dene Beardsley (m), New Zealand
102	2006HALC01	Michał Halczuk (m), Poland
102	2007GUIM01	Pedro Santos Guimarães (m), Brazil
100	2012ADLO01	Aramayis Adloyan (Արամայիս Ադլոյան) (m), Armenia
100	2013CONT01	Oscar Alberto Ceballos Contreras (m), Venezuela

Odd WCA stats/ Stats request Thread

Legend

Premium Member

Premium Member

Premium Member

Veteran

Regular

Legend

Legend

Veteran

Veteran

Veteran

Veteran

Legend

Legend

Veteran

Veteran

Veteran

Regular

Veteran

Veteran

Similar threads