Chess South Africa Ratings Database

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Personal

Kumarasamy, D (Daaruk)

Chess SA id

111092159

FIDE id

Date of birth

2011-01-04 (U16)

Gender

Male

Region

Ethekwini (KED)

Citizen

RSA

Titles

Chess SA registered

Last active game

2025-02-22

Personal details last changed

1900-01-01

Junior GPX Games

Junior GPX Points

Item	Main	Standard	Rapid	Blitz
Rating	1437.4	1404.2	1061.6	976.8
Raw rating	1437.4	1404.2	1061.6	976.8
Weighted rating	1429.4	1404.2	997	976.8
Weighted performance	1030.6	713.1	0	0
Floor	944.3	973	561.6	500
K-factor	32	32	40	40
Min/Max rating change allowed	118.2	124	202	227.9
Highest rating	1444.3 2022-04-01	1473 2022-04-01	1646.2 2018-08-01	1281.8 2018-12-01
Highest raw rating	1444.3 2022-04-01	1473 2022-04-01	1061.6 2025-03-01	976.8 2024-02-01
Highest weighted rating	1426 2025-08-01	1473 2022-06-01	969.5 2025-08-01	976.8 2024-11-01
Highest weighted performance	1419.3 2019-03-01	1407.6 2020-03-01	1646.2 2018-08-01	1281.8 2018-12-01

Prediction
Item	Main	Standard	Rapid	Blitz
Rating change	0	0	0	0
New rating	1437.4	1404.2	1061.6	976.8
Analysis
Rating	1437.4	1404.2	1061.6	976.8
Raw rating	1437.4	1404.2	1061.6	976.8
Weighted rating	1429.4	1404.2	997
Weighted performance	1030.6	713.1	0
K-factor	32	32	40	40
Floor	944.3	973	561.6	500
Max/Min rating change allowed	118.2	124	202	227.9
Games	0	0	0	0
Score	0	0	0	0
Expected score	0	0	0	0
Score-Expected	0	0	0	0
Temp raw +/-	0	0	0	0
Final raw +/-	0	0	0	0
New raw rating	1437.4	1404.2	1061.6	976.8
New weighted rating	1430.4	1404.2	1005	976.8
New weighted performance	1022.2	704.8	0	0
Temp new rating	1437.4	1404.2	1061.6	976.8
Temp new rating +/-	0	0	0	0
Final new rating +/-	0	0	0	0
New rating	1437.4	1404.2	1061.6	976.8
New K-factor	32	32	40	40
New floor	944.3	973	561.6	500

Item	Main	Standard	Rapid	Blitz
	0	0	0	0
	6	0	6	0
	0	0	0	0
	5	0	5	0
	17	17	0	0
	3	3	0	0
History	312	266	20	26

Games since
	Main 6	Standard 0		Rapid 6		Blitz 0
Gender	Male
Age group	U16
Region	Ethekwini (KED)
Province	KwaZulu Natal (KZ)
Main
	RSA		Province		Region
Overall	-1		-1		-1
Male	-1		-1		-1
U16	-1		-1		-1
U16 Male	-1		-1		-1
Standard
	RSA		Province		Region
Overall	-1		-1		-1
Male	-1		-1		-1
U16	-1		-1		-1
U16 Male	-1		-1		-1
Rapid
	RSA		Province		Region
Overall	-1		-1		-1
Male	-1		-1		-1
U16	-1		-1		-1
U16 Male	-1		-1		-1
Blitz
	RSA		Province		Region
Overall	-1		-1		-1
Male	-1		-1		-1
U16	-1		-1		-1
U16 Male	-1		-1		-1


	Games	Score	%	Dp	AvgOpp	Performance
Main	0	0	0	0	0	0
Standard	0	0	0	0	0	0
Rapid	0	0	0	0	0	0
Blitz	0	0	0	0	0	0

	Games	Score	%	Dp	AvgOpp	Performance
Main	6	4.5	75	212.5	1367.5	1580
Standard	0	0	0	0	0	0
Rapid	6	4.5	75	212.5	1367.5	1580
Blitz	0	0	0	0	0	0
History
	Games	Score	%	Dp	AvgOpp	Performance
Main	288	180.5	62.67	107.7	1182.1	1289.9
Standard	242	153	63.22	112.4	1163.5	1275.9
Rapid	20	15	75	212.5	1310.6	1523.1
Blitz	26	12.5	48.08	-16.3	1257.1	1240.8

Date	Main	Standard	Rapid	Blitz
2025-11-01	1437.4	1404.2	1061.6	976.8
2025-09-30	1437.4	1404.2	1061.6	976.8
2025-09-01	1437.4	1404.2	1061.6	976.8
2025-08-01	1437.4	1404.2	1061.6	976.8
2025-07-01	1437.4	1404.2	1061.6	976.8
2025-06-01	1437.4	1404.2	1061.6	976.8
2025-05-01	1437.4	1404.2	1061.6	976.8
2025-04-01	1437.4	1404.2	1061.6	976.8
2025-03-01	1437.4	1404.2	1061.6	976.8
2025-02-01	1417.4	1404.2	900	976.8
2025-01-01	1417.4	1404.2	900	976.8
2024-12-01	1417.4	1404.2	900	976.8
2024-11-01	1417.4	1404.2	900	976.8
2024-10-01	1417.4	1404.2	900	976.8
2024-09-01	1417.4	1404.2	900	976.8
2024-08-01	1417.4	1404.2	900	976.8
2024-07-01	1417.4	1404.2	900	976.8
2024-09-01	1417.4	1404.2	900	976.8
2024-05-01	1417.4	1404.2	900	976.8
2024-04-01	1417.4	1404.2	900	976.8
2024-03-01	1417.4	1404.2	900	976.8
2024-02-01	1417.4	1404.2	900	976.8
2024-01-01	1417.4	1404.2	900	976.8
2023-12-01	1417.4	1404.2	900	976.8

Comming soon.

Tournaments

History

No tournaments found.

#	Tournament	Start	End	Type	Host	Rounds	Games	Score	Cfr	Analysis

#	Tournament	Start	End	Type	Host	Rounds	Games	Score	Cfr	Analysis
1	2025 Westville Girls High School Rapid (U16-U20)	2025-02-22	2025-02-22	Rapid	Ethekwini (KED)	6	6	4.5	Yes	Analysis

Last 500 tournaments since 01 January 2018

#	Tournament	Start	End	Type	Host	Rounds	Games	Score	Cfr	Analysis
1	2025 Westville Girls High School Rapid (U16-U20)	2025-02-22	2025-02-22	Rapid	Ethekwini (KED)	6	6	4.5	Yes	Analysis
2	St James 2023 (Senior Primary)	2023-02-11	2023-02-11	Rapid	Ethekwini (KED)	5	5	4.5	Yes	Analysis
3	2022 Umhlanga CC Open	2022-06-18	2022-06-19	Standard	Ethekwini (KED)	6	5	2	Yes	Analysis
4	2022 KZN Open (A)	2022-04-30	2022-05-01	Standard	Ethekwini (KED)	6	6	3	Yes	Analysis
5	2022 ECA 1st Youth Trials (U8-U12)	2022-03-05	2022-03-06	Standard	Ethekwini (KED)	6	6	6	Yes	Analysis
6	2021 Umhlanga Invitational	2021-10-30	2021-11-01	Standard	Ethekwini (KED)	9	3	1	Yes	Analysis
7	2020 Moss Kolnik Memorial Swiss	2020-01-16	2020-03-05	Standard	Ethekwini (KED)	8	5	3.5	Yes	Analysis
8	2020 ECA Youth Trials (U8+U10)	2020-02-22	2020-02-23	Standard	Ethekwini (KED)	6	6	6	Yes	Analysis
9	Nobel Prize Chess Tournament 2020 (A)	2020-02-01	2020-02-01	Rapid	iLembe (KIK)	5	4	1	Yes	Analysis
10	2020 Chess & Pizza January Blitz	2020-01-26	2020-01-26	Blitz	Ethekwini (KED)	11	11	6	Yes	Analysis
11	2019 African Youth Chess Championship	2019-12-16	2019-12-21	Standard	Namibia (NAM)	9	9	6	Yes	Analysis
12	2019 DCC Third Swiss	2019-10-10	2019-11-21	Standard	Ethekwini (KED)	6	6	3	Yes	Analysis
13	2019 Heritage Open (A)	2019-10-05	2019-10-06	Standard	Ethekwini (KED)	6	6	1.5	Yes	Analysis
14	2019 Darryl Mhlongo Blitz	2019-10-03	2019-10-03	Blitz	Ethekwini (KED)	8	8	3.5	Yes	Analysis
15	2019 John Blackburn Memorial Swiss	2019-08-01	2019-09-19	Standard	Ethekwini (KED)	7	7	3	Yes	Analysis
16	iLembe Spring Junior Chess Champs 2019 (Grade 4-7)	2019-09-21	2019-09-21	Standard	iLembe (KIK)	5	4	1	Yes	Analysis
17	2019 Ethekwini 3rd Youth Trials (U12)	2019-07-20	2019-07-21	Standard	Ethekwini (KED)	6	6	3.5	Yes	Analysis
18	iLembe Youth Trials 2019 (Senior Primary)	2019-07-13	2019-07-13	Standard	iLembe (KIK)	5	5	4	Yes	Analysis
19	South African Schools Individuals Chess Championships 2019 (U7+U9 Open)	2019-06-18	2019-06-21	Standard	Frances Baard (NCF)	7	7	6	Yes	Analysis
20	2019 Durban Chess Club Championship (C)	2019-03-14	2019-05-09	Standard	Ethekwini (KED)	9	7	3	Yes	Analysis
21	2019 KZN Open (B)	2019-04-27	2019-04-28	Standard	Ethekwini (KED)	6	6	2	Yes	Analysis
22	2019 Ethekwini Youth Trials 2nd (U8+U10)	2019-04-13	2019-04-14	Standard	Ethekwini (KED)	6	6	5	Yes	Analysis
23	2019 Ethekwini Youth Trials (U8+U10)	2019-03-09	2019-03-10	Standard	Ethekwini (KED)	6	6	6	Yes	Analysis
24	2019 Ethekwini Open (B)	2019-03-30	2019-03-31	Standard	Ethekwini (KED)	6	6	4	Yes	Analysis
25	2019 South African Junior Closed Chess Championship (U8 Open)	2019-03-17	2019-03-22	Standard	Chess South Africa (CSA)	9	9	8	Yes	Analysis
26	2019 Moss Kolnik Memorial Swiss	2019-01-10	2019-02-28	Standard	Ethekwini (KED)	8	8	3	Yes	Analysis
27	2019 JR Mthembu Memorial Swiss (Primary School)	2019-02-16	2019-02-17	Standard	Ethekwini (KED)	5	5	4	Yes	Analysis
28	Nobel Prize Chess Champions 2019 (B)	2019-02-02	2019-02-03	Standard	iLembe (KIK)	6	6	3	Yes	Analysis
29	South African Junior Blitz 2018 (U8)	2018-12-19	2018-12-19	Blitz	4 Knights (4K)	4	3	3	Yes	Analysis
30	South African Junior Team Championships 2018 (U8A)	2018-12-16	2018-12-20	Standard	4 Knights (4K)	7	7	4	Yes	Analysis
31	2018 Ethekwini League	2018-09-09	2018-10-21	Standard	Ethekwini (KED)	7	3	2	Yes	Analysis
32	2018 Ethekwini League	2018-09-09	2018-10-21	Standard	Ethekwini (KED)	7	0	0	No	Analysis
33	2018 Heritage Day Open (B)	2018-09-23	2018-09-24	Standard	Ethekwini (KED)	6	6	3.5	Yes	Analysis
34	Salt Rock Chess Champs 2018 (Senior Primary)	2018-09-29	2018-09-29	Standard	iLembe (KIK)	5	5	3	Yes	Analysis
35	Luthuli And Kennedy Chess Challenge 2018 (Juniorr Primary + Beginners)	2018-09-15	2018-09-15	Standard	iLembe (KIK)	5	5	3.5	Yes	Analysis
36	Dolphin Coast Spring Chess Champs 2018 (Junior Primary)	2018-09-22	2018-09-22	Standard	iLembe (KIK)	5	5	4	Yes	Analysis
37	Curro Mount Richmore Chess Celebration 2018 (U8)	2018-08-18	2018-08-18	Rapid	iLembe (KIK)	5	5	5	Yes	Analysis
38	Mother Africa 2018 (Junior Primary)	2018-05-05	2018-05-05	Standard	iLembe (KIK)	5	5	4	Yes	Analysis
39	2018 Ethekwini Youth Trials 2 (U8+U10)	2018-05-19	2018-05-20	Standard	Ethekwini (KED)	6	5	2.5	Yes	Analysis
40	2018 Durban Chess Club (D)	2018-03-15	2018-05-24	Standard	Ethekwini (KED)	9	9	4	Yes	Analysis
41	2018 KZN Open (B)	2018-04-27	2018-04-30	Standard	Ethekwini (KED)	7	7	4.5	Yes	Analysis
42	Ilembe Youth Trials 2018 (U8+U10)	2018-04-14	2018-04-14	Standard	iLembe (KIK)	5	5	5	Yes	Analysis
43	2018 Umhlanga Swiss	2018-02-23	2018-04-13	Standard	Ethekwini (KED)	6	6	2	Yes	Analysis
44	2018 Moss Kolnik Memorial	2018-01-11	2018-03-01	Standard	Ethekwini (KED)	8	0	0	No	Analysis
45	2018 Ethekwini Open (B)	2018-03-24	2018-03-25	Standard	Ethekwini (KED)	6	6	3	Yes	Analysis
46	Umhlali Preparatory Individuals 2018 (Junior Primary)	2018-03-17	2018-03-17	Standard	iLembe (KIK)	5	4	4	Yes	Analysis
47	Mama Nokukhanya Luthuli Chess Tournament 2018 (Junior Primary)	2018-03-21	2018-03-21	Standard	iLembe (KIK)	5	5	4	Yes	Analysis
48	2018 Mhlongo Memorial Blitz	2018-03-08	2018-03-08	Blitz	Ethekwini (KED)	5	4	0	Yes	Analysis
49	2018 Ethekwini Youth Trials (U10)	2018-02-24	2018-02-25	Standard	Ethekwini (KED)	6	6	3.5	Yes	Analysis
50	South African Junior Wildcard Championships 2017 (U8 Open)	2018-01-09	2018-01-12	Standard	4 Knights (4K)	7	7	4	Yes	Analysis
51	South African Junior Team Championships 2017 (U8B+U8 Girls)	2018-01-04	2018-01-08	Standard	4 Knights (4K)	7	6	5	Yes	Analysis

#	Games	Start				End
1	12	Tournament Nobel Prize Chess Tournament 2020				Tournament 2021 Umhlanga Invitational
		date 2020-02-01	rnd 5	type Rapid	result 1	date 2021-10-30	rnd 1	type Standard	result 1
		Opponent Singh, D (Dara)				Opponent Zulu, S (Sandiso)
2	10	Tournament St James 2023				Tournament 2025 Westville Girls High School Rapid
		date 2023-02-11	rnd 1	type Rapid	result 1	date 2025-02-22	rnd 5	type Rapid	result 0.5
		Opponent Lalbahadur, A (Aryan)				Opponent Van Der Byl, A (Aarin)
3	10	Tournament 2019 Ethekwini Youth Trials				Tournament 2019 South African Junior Closed Chess Championship
		date 2019-03-09	rnd 1	type Standard	result 1	date 2019-03-18	rnd 3	type Standard	result 1
		Opponent Balakumar, S (Swaasti)				Opponent Govender, P (Pranau)

#	Games	Start				End
1	11	Tournament 2020 Moss Kolnik Memorial Swiss				Tournament 2021 Umhlanga Invitational
		date 2020-02-06	rnd 4	type Standard	result 1	date 2021-10-30	rnd 1	type Standard	result 1
		Opponent Frank, T (Tristan)				Opponent Zulu, S (Sandiso)
2	10	Tournament 2019 Ethekwini Youth Trials				Tournament 2019 South African Junior Closed Chess Championship
		date 2019-03-09	rnd 1	type Standard	result 1	date 2019-03-18	rnd 3	type Standard	result 1
		Opponent Balakumar, S (Swaasti)				Opponent Govender, P (Pranau)
3	8	Tournament 2019 South African Junior Closed Chess Championship				Tournament 2019 Ethekwini Open
		date 2019-03-19	rnd 5	type Standard	result 1	date 2019-03-30	rnd 2	type Standard	result 1
		Opponent D`Alton, E (Ezra)				Opponent Mahadeo, S (Shreeya)

#	Games	Start				End
1	11	Tournament Nobel Prize Chess Tournament 2020				Tournament 2025 Westville Girls High School Rapid
		date 2020-02-01	rnd 5	type Rapid	result 1	date 2025-02-22	rnd 5	type Rapid	result 0.5
		Opponent Singh, D (Dara)				Opponent Van Der Byl, A (Aarin)
2	5	Tournament Curro Mount Richmore Chess Celebration 2018				Tournament Curro Mount Richmore Chess Celebration 2018
		date 2018-08-18	rnd 1	type Rapid	result 1	date 2018-08-18	rnd 5	type Rapid	result 1
		Opponent Ferreira, A (Arian)				Opponent Munsamy, A (Adysa)

#	Games	Start				End
1	3	Tournament 2019 Darryl Mhlongo Blitz				Tournament 2020 Chess & Pizza January Blitz
		date 2019-10-03	rnd 8	type Blitz	result 1	date 2020-01-26	rnd 2	type Blitz	result 1
		Opponent Pillai, N (Nanditha)				Opponent Sridhar, S (Surit)
2	3	Tournament South African Junior Blitz 2018				Tournament South African Junior Blitz 2018
		date 2018-12-19	rnd 2	type Blitz	result 1	date 2018-12-19	rnd 4	type Blitz	result 1
		Opponent Buys, B (Boaz)				Opponent Reddy, D (Damian)
3	2	Tournament 2020 Chess & Pizza January Blitz				Tournament 2020 Chess & Pizza January Blitz
		date 2020-01-26	rnd 9	type Blitz	result 1	date 2020-01-26	rnd 10	type Blitz	result 1
		Opponent Maharaj, R (Rahul)				Opponent Nunnan, Y (Yanti)

#	Games	Start				End
1	10	Tournament 2019 Ethekwini Youth Trials				Tournament 2019 South African Junior Closed Chess Championship
		date 2019-03-09	rnd 1	type Standard	result 1	date 2019-03-18	rnd 3	type Standard	result 1
		Opponent Balakumar, S (Swaasti)				Opponent Govender, P (Pranau)
2	8	Tournament 2020 ECA Youth Trials				Tournament 2021 Umhlanga Invitational
		date 2020-02-22	rnd 1	type Standard	result 1	date 2021-10-30	rnd 1	type Standard	result 1
		Opponent Mistry, S (Sanam)				Opponent Zulu, S (Sandiso)
3	8	Tournament 2019 South African Junior Closed Chess Championship				Tournament 2019 Ethekwini Open
		date 2019-03-19	rnd 5	type Standard	result 1	date 2019-03-30	rnd 2	type Standard	result 1
		Opponent D`Alton, E (Ezra)				Opponent Mahadeo, S (Shreeya)

#	Games	Start				End
1	10	Tournament 2019 Ethekwini Youth Trials				Tournament 2019 South African Junior Closed Chess Championship
		date 2019-03-09	rnd 1	type Standard	result 1	date 2019-03-18	rnd 3	type Standard	result 1
		Opponent Balakumar, S (Swaasti)				Opponent Govender, P (Pranau)
2	8	Tournament 2020 ECA Youth Trials				Tournament 2021 Umhlanga Invitational
		date 2020-02-22	rnd 1	type Standard	result 1	date 2021-10-30	rnd 1	type Standard	result 1
		Opponent Mistry, S (Sanam)				Opponent Zulu, S (Sandiso)
3	8	Tournament 2019 South African Junior Closed Chess Championship				Tournament 2019 Ethekwini Open
		date 2019-03-19	rnd 5	type Standard	result 1	date 2019-03-30	rnd 2	type Standard	result 1
		Opponent D`Alton, E (Ezra)				Opponent Mahadeo, S (Shreeya)

#	Games	Start				End
1	5	Tournament St James 2023				Tournament 2025 Westville Girls High School Rapid
		date 2023-02-11	rnd 5	type Rapid	result 1	date 2025-02-22	rnd 4	type Rapid	result 1
		Opponent Naicker, B (Breycen)				Opponent Naidoo, J (Juan)
2	5	Tournament Curro Mount Richmore Chess Celebration 2018				Tournament Curro Mount Richmore Chess Celebration 2018
		date 2018-08-18	rnd 1	type Rapid	result 1	date 2018-08-18	rnd 5	type Rapid	result 1
		Opponent Ferreira, A (Arian)				Opponent Munsamy, A (Adysa)
3	4	Tournament Nobel Prize Chess Tournament 2020				Tournament St James 2023
		date 2020-02-01	rnd 5	type Rapid	result 1	date 2023-02-11	rnd 3	type Rapid	result 1
		Opponent Singh, D (Dara)				Opponent Cason, D (David)

#	Games	Start				End
1	3	Tournament 2019 Darryl Mhlongo Blitz				Tournament 2020 Chess & Pizza January Blitz
		date 2019-10-03	rnd 8	type Blitz	result 1	date 2020-01-26	rnd 2	type Blitz	result 1
		Opponent Pillai, N (Nanditha)				Opponent Sridhar, S (Surit)
2	3	Tournament South African Junior Blitz 2018				Tournament South African Junior Blitz 2018
		date 2018-12-19	rnd 2	type Blitz	result 1	date 2018-12-19	rnd 4	type Blitz	result 1
		Opponent Buys, B (Boaz)				Opponent Reddy, D (Damian)
3	2	Tournament 2020 Chess & Pizza January Blitz				Tournament 2020 Chess & Pizza January Blitz
		date 2020-01-26	rnd 9	type Blitz	result 1	date 2020-01-26	rnd 10	type Blitz	result 1
		Opponent Maharaj, R (Rahul)				Opponent Nunnan, Y (Yanti)

Top 10 opponents most often played

#	Opponent	Main			Standard			Rapid			Blitz
		Gms	Score	Dp	Gms	Score	Dp	Gms	Score	Dp	Gms	Score	Dp
		Gms	Aor	Prat	Gms	Aor	Prat	Gms	Aor	Prat	Gms	Aor	Prat
1	Datharam ,Y (Yadav)	7	6.5	364.3	7	6.5	364.3	0	0	0	0	0	0
1	Datharam ,Y (Yadav)	7	876.7	1241	7	870.6	1241	0	0	0	0	0	0
2	Singh ,J (Joshi)	5	2	-85	5	2	-85	0	0	0	0	0	0
2	Singh ,J (Joshi)	5	1260.3	1175.3	5	1257.2	1175.3	0	0	0	0	0	0
3	Makaula ,L (Lubanzi)	5	3	85	4	3	212.5	1	0	-425	0	0	0
3	Makaula ,L (Lubanzi)	5	1387.6	1472.6	4	1321.7	1600.1	1	1601.8	962.6	0	0	0
4	Mqadi ,S (Siyabonga)	4	4	425	4	4	425	0	0	0	0	0	0
4	Mqadi ,S (Siyabonga)	4	1012.1	1437.1	4	1015.2	1437.1	0	0	0	0	0	0
5	Jugree ,A (Arav)	4	1.5	-106.2	4	1.5	-106.2	0	0	0	0	0	0
5	Jugree ,A (Arav)	4	1317.3	1211.1	4	1309.6	1211.1	0	0	0	0	0	0
6	Narainsamy ,T (Taygen)	4	4	425	4	4	425	0	0	0	0	0	0
6	Narainsamy ,T (Taygen)	4	1106.6	1531.6	4	1114.8	1531.6	0	0	0	0	0	0
7	Bodalia ,T (Talin)	3	1	-141.7	3	1	-141.7	0	0	0	0	0	0
7	Bodalia ,T (Talin)	3	796.3	654.6	3	798.5	654.6	0	0	0	0	0	0
8	Savage ,J (Jack)	3	1	-141.7	3	1	-141.7	0	0	0	0	0	0
8	Savage ,J (Jack)	3	715.3	573.7	3	653.3	573.7	0	0	0	0	0	0
9	Govender ,P (Pranau)	3	3	425	3	3	425	0	0	0	0	0	0
9	Govender ,P (Pranau)	3	1038.7	1463.7	3	1026.7	1463.7	0	0	0	0	0	0
10	Jainarain ,T (Trishul)	3	0.5	-283.3	3	0.5	-283.3	0	0	0	0	0	0
10	Jainarain ,T (Trishul)	3	934	650.6	3	936.5	650.6	0	0	0	0	0	0

Norms

No norms achieved.

#	Norm	Tournament	Start	End	Rounds	Games	Score	Details

Ratings

Tournaments

Grand Prix

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Kumarasamy, D (Daaruk)

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