Round 17 — MIXED Teams

14 matches. → cumulative standings · → board records

Round 17 results↑ top

Every match of the round — teams, IMPs and VPs. Click a table number or ‘protocol’ for the full board-by-board scorecard below.

TableHome teamVisiting teamIMP (home)IMP (visit)VP (home)VP (visit)
1ARGENTINASOUTH AFRICA362414.006.00protocol →
2NORWAYENGLAND11711.508.50protocol →
3AUSTRALIAMOROCCO171610.399.61protocol →
4CHILEISRAEL252310.779.23protocol →
5U.S.A.COLOMBIA4185.4614.54protocol →
6POLANDSWEDEN23615.294.71protocol →
7SWITZERLANDGERMANY17912.837.17protocol →
8CANADAHUNGARY222110.399.61protocol →
9SPAINFRANCE37218.581.42protocol →
10IRELANDCROATIA391317.162.84protocol →
11BRAZILINDIA9303.8216.18protocol →
12JAPANNEW ZEALAND383012.837.17protocol →
13CHINAHONG KONG CHINA3194.9515.05protocol →
14ITALYTURKIYE39318.711.29protocol →

Standings after round 17↑ top

Cumulative Victory Points through round 17 — the league table as it stood after this round. → full standings, every round & players

PlaceTeamVPR17Pld
1🇩🇪 GERMANY224.697.1717
2🇺🇸 U.S.A.208.645.4617
3🇳🇴 NORWAY205.9611.5017
4🇭🇰 HONG KONG CHINA205.9415.0517
5🇮🇹 ITALY205.5118.7117
6🇭🇷 CROATIA204.422.8417
7🇵🇱 POLAND202.2115.2917
8🇮🇳 INDIA200.8516.1817
9🇦🇺 AUSTRALIA199.3310.3917
10🇩🇰 DENMARK197.9512.0017
11🇫🇷 FRANCE186.161.4217
12🇳🇿 NEW ZEALAND182.047.1717
13🇨🇴 COLOMBIA181.5014.5417
14🇮🇱 ISRAEL175.439.2317
15🇪🇸 SPAIN173.5018.5817
16🏴󠁧󠁢󠁥󠁮󠁧󠁿 ENGLAND172.798.5017
17🇨🇭 SWITZERLAND170.7912.8317
18🇸🇪 SWEDEN170.604.7117
19🇨🇳 CHINA166.964.9517
20🇯🇵 JAPAN154.8412.8317
21🇮🇪 IRELAND149.6917.1617
22🇦🇷 ARGENTINA148.0514.0017
23🇨🇱 CHILE144.2610.7717
24🇨🇦 CANADA141.2210.3917
25🇹🇷 TURKIYE140.481.2917
26🇭🇺 HUNGARY133.989.6117
27🇲🇦 MOROCCO112.569.6117
28🇧🇷 BRAZIL105.543.8217
29🇿🇦 SOUTH AFRICA81.116.0017

Butler by cross-IMPs over this round's field — each player’s per-board mean cross-IMP vs the whole field.

Round 17 Butler standings↑ top

PlacePlayerTeamBoardsR17Avg/bd
1L.Cima🇮🇹 ITALY10+31.4+3.14
1B.Dessi🇮🇹 ITALY10+31.4+3.14
3W.Lai🇭🇰 HONG KONG CHINA10+30.6+3.06
3W.Wang🇭🇰 HONG KONG CHINA10+30.6+3.06
5N.Heiberg-Evenstad🇳🇴 NORWAY10+30.0+3.00
5S.Sjodal🇳🇴 NORWAY10+30.0+3.00
7K.Nadar🇮🇳 INDIA10+25.1+2.51
7B.Satyanarayana🇮🇳 INDIA10+25.1+2.51
9L.Lantaron🇪🇸 SPAIN10+24.1+2.41
9M.Sainz De Vicuna🇪🇸 SPAIN10+24.1+2.41
11M.Gold🏴󠁧󠁢󠁥󠁮󠁧󠁿 ENGLAND10+23.5+2.35
11G.Guridi🇨🇱 CHILE10+23.5+2.35
11F.Nacrur🇨🇱 CHILE10+23.5+2.35
11S.Tommasini🏴󠁧󠁢󠁥󠁮󠁧󠁿 ENGLAND10+23.5+2.35
15A.Asulin🇮🇱 ISRAEL10+21.0+2.10
15R.Pachtman🇮🇱 ISRAEL10+21.0+2.10
17J.Corfield🇮🇪 IRELAND10+17.2+1.72
17M.Haugh🇮🇪 IRELAND10+17.2+1.72
19D.Bernal🇨🇴 COLOMBIA10+17.1+1.71
19C.Hoyos🇨🇴 COLOMBIA10+17.1+1.71
21Y.Chen🇨🇳 CHINA10+14.8+1.48
21B.Fu🇨🇳 CHINA10+14.8+1.48
23B.Fischer🇭🇺 HUNGARY10+11.7+1.17
23C.Szabo🇭🇺 HUNGARY10+11.7+1.17
25K.Fung🇨🇦 CANADA10+11.5+1.15
25M.Gamble🇨🇦 CANADA10+11.5+1.15
27M.Hutyra🇵🇱 POLAND10+10.2+1.02
27D.Kazmucha🇵🇱 POLAND10+10.2+1.02
29C.Dima🇮🇪 IRELAND10+9.0+0.90
29A.Martorell🇪🇸 SPAIN10+9.0+0.90
29S.Newell🇮🇪 IRELAND10+9.0+0.90
29A.Wasik🇪🇸 SPAIN10+9.0+0.90
33E.Juchimowicz Pugliese🇦🇷 ARGENTINA10+7.5+0.75
33C.Nunez🇦🇷 ARGENTINA10+7.5+0.75
35K.Dufrat🇵🇱 POLAND10+7.2+0.72
35P.Zatorski🇵🇱 POLAND10+7.2+0.72
37I.Baroni🇮🇹 ITALY10+5.8+0.58
37A.Gandoglia🇮🇹 ITALY10+5.8+0.58
39L.Duc🇨🇭 SWITZERLAND10+5.6+0.56
39S.Magnusson🇨🇭 SWITZERLAND10+5.6+0.56
41H.Miura🇯🇵 JAPAN10+4.4+0.44
41K.Sengoku🇯🇵 JAPAN10+4.4+0.44
43C.Pellegrini🇦🇷 ARGENTINA10+4.3+0.43
43S.Rocca🇦🇷 ARGENTINA10+4.3+0.43
45D.Korbel🇺🇸 U.S.A.10+3.3+0.33
45S.Shi🇺🇸 U.S.A.10+3.3+0.33
47K.Furuta🇯🇵 JAPAN10+3.2+0.32
47R.Furuta🇯🇵 JAPAN10+3.2+0.32
49D.Beauchamp🇦🇺 AUSTRALIA10+1.7+0.17
49J.Tutty🇦🇺 AUSTRALIA10+1.7+0.17
51B.Kohli🇮🇳 INDIA10+1.3+0.13
51T.Ramani🇮🇳 INDIA10+1.3+0.13
53D.Neumann🇦🇺 AUSTRALIA10+0.8+0.08
53M.Van Der Vlugt🇦🇺 AUSTRALIA10+0.8+0.08
55J.Amiguet🇨🇭 SWITZERLAND10+0.5+0.05
55C.Billiet🇨🇭 SWITZERLAND10+0.5+0.05
57A.Gladiator🇩🇪 GERMANY10-0.5-0.05
57M.Gromoeller🇩🇪 GERMANY10-0.5-0.05
59R.Elmaroufi🇲🇦 MOROCCO10-0.8-0.08
59E.Levy🇲🇦 MOROCCO10-0.8-0.08
61L.Ferreira🇧🇷 BRAZIL10-1.3-0.13
61F.Kladt🇧🇷 BRAZIL10-1.3-0.13
63S.Badri🇲🇦 MOROCCO10-1.7-0.17
63L.Lamrani🇲🇦 MOROCCO10-1.7-0.17
65B.Jones🇳🇿 NEW ZEALAND10-3.2-0.32
65J.Millington🇳🇿 NEW ZEALAND10-3.2-0.32
67J.Barrera🇨🇴 COLOMBIA10-3.3-0.33
67J.Ochoa🇨🇴 COLOMBIA10-3.3-0.33
69J.East🇿🇦 SOUTH AFRICA10-4.3-0.43
69T.East🇿🇦 SOUTH AFRICA10-4.3-0.43
71B.Fisher🇳🇿 NEW ZEALAND10-4.4-0.44
71E.Fisher🇳🇿 NEW ZEALAND10-4.4-0.44
73S.Auken🇩🇪 GERMANY10-5.6-0.56
73R.Welland🇩🇪 GERMANY10-5.6-0.56
75T.Ozbay🇹🇷 TURKIYE10-5.8-0.58
75H.Ozgur🇹🇷 TURKIYE10-5.8-0.58
77F.Jarlvik🇸🇪 SWEDEN10-7.2-0.72
77T.Trendafilova🇸🇪 SWEDEN10-7.2-0.72
79D.Keet🇿🇦 SOUTH AFRICA10-7.5-0.75
79C.Stanton🇿🇦 SOUTH AFRICA10-7.5-0.75
81V.Reess🇫🇷 FRANCE10-9.0-0.90
81N.Sver🇭🇷 CROATIA10-9.0-0.90
81L.Thuillez🇫🇷 FRANCE10-9.0-0.90
81V.Zoric🇭🇷 CROATIA10-9.0-0.90
85C.Ahlesved🇸🇪 SWEDEN10-10.2-1.02
85K.Ahlesved🇸🇪 SWEDEN10-10.2-1.02
87L.Honti🇭🇺 HUNGARY10-11.5-1.15
87K.Mezei🇭🇺 HUNGARY10-11.5-1.15
89B.Bryant🇨🇦 CANADA10-11.7-1.17
89R.Davidson🇨🇦 CANADA10-11.7-1.17
91K.Mak🇭🇰 HONG KONG CHINA10-14.8-1.48
91T.Tang🇭🇰 HONG KONG CHINA10-14.8-1.48
93E.Wold🇺🇸 U.S.A.10-17.1-1.71
93S.Zhang🇺🇸 U.S.A.10-17.1-1.71
95D.Diklic🇭🇷 CROATIA10-17.2-1.72
95M.Pilipovic🇭🇷 CROATIA10-17.2-1.72
97G.Rubio🇨🇱 CHILE10-21.0-2.10
97A.Zeman🇨🇱 CHILE10-21.0-2.10
99R.Benin-Barr🇮🇱 ISRAEL10-23.5-2.35
99K.Bogo🇳🇴 NORWAY10-23.5-2.35
99R.Sivertsvik🇳🇴 NORWAY10-23.5-2.35
99Y.Zack🇮🇱 ISRAEL10-23.5-2.35
103P.Schmidt🇫🇷 FRANCE10-24.1-2.41
103J.Zochowska🇫🇷 FRANCE10-24.1-2.41
105R.Dias🇧🇷 BRAZIL10-25.1-2.51
105A.Vidigal🇧🇷 BRAZIL10-25.1-2.51
107F.Hinden🏴󠁧󠁢󠁥󠁮󠁧󠁿 ENGLAND10-30.0-3.00
107G.Osborne🏴󠁧󠁢󠁥󠁮󠁧󠁿 ENGLAND10-30.0-3.00
109Y.Liu🇨🇳 CHINA10-30.6-3.06
109Y.Lu🇨🇳 CHINA10-30.6-3.06
111A.Guventas🇹🇷 TURKIYE10-31.4-3.14
111S.Kolata🇹🇷 TURKIYE10-31.4-3.14

🇦🇷 ARGENTINA vs 🇿🇦 SOUTH AFRICA 14 : 6 VP (match 124904) PBN↑ top

Open room
NSC.Pellegrini – S.Rocca EWT.East – J.East
Closed room
NSC.Stanton – D.Keet EWE.Juchimowicz Pugliese – C.Nunez
BdOpen room
NSC.Pellegrini – S.Rocca EWT.East – J.East
Closed room
NSC.Stanton – D.Keet EWE.Juchimowicz Pugliese – C.Nunez
IMPs
ContractByLeadResNSEWButlerContractByLeadResNSEWButlerARGENTINASOUTH AFRICA
6♠N♦9=9805.14♠N♥5+24806.411
3NTW♠5=4000.04♠W♥3-1509.910
3NTS♦J+26603.03♣N♦7+31707.410
2♥N♦K-1500.22♠S♣5-31502.93
4♠E♦9-21001.54♠E♦10-21001.5
3♦S♣3-31501.12♠N♣A-21002.72
3♥W♦Q-21000.32♠N♥7+11401.31
3NTW♣7+24600.33NTW♦6+24600.3
4♠W♥A-11001.44♠W♥A=6209.912
3♠W♥K-11004.65♣S♠K=6007.011
ΣButler / IMPsNS+4.3NS-7.53624
BdContByResNSEWButlerIMP
🇦🇷🇿🇦
6♠N=9805.111
4♠N+24806.4
3NTW=4000.010
4♠W-1509.9
3NTS+26603.010
3♣N+31707.4
2♥N-1500.23
2♠S-31502.9
4♠E-21001.5
4♠E-21001.5
3♦S-31501.12
2♠N-21002.7
3♥W-21000.31
2♠N+11401.3
3NTW+24600.3
3NTW+24600.3
4♠W-11001.412
4♠W=6209.9
3♠W-11004.611
5♣S=6007.0
ΣButler OpenNS+4.33624
Butler ClosedNS-7.5
Player Butler in this match
PlayerBdsTotalAvg
🇦🇷 E.Juchimowicz Pugliese10+7.5+0.75
🇦🇷 C.Nunez10+7.5+0.75
🇦🇷 C.Pellegrini10+4.3+0.43
🇦🇷 S.Rocca10+4.3+0.43
🇿🇦 T.East10-4.3-0.43
🇿🇦 J.East10-4.3-0.43
🇿🇦 C.Stanton10-7.5-0.75
🇿🇦 D.Keet10-7.5-0.75

🇳🇴 NORWAY vs 🏴󠁧󠁢󠁥󠁮󠁧󠁿 ENGLAND 11.5 : 8.5 VP (match 124905) PBN↑ top

Open room
NSS.Sjodal – N.Heiberg-Evenstad EWG.Osborne – F.Hinden
Closed room
NSS.Tommasini – M.Gold EWR.Sivertsvik – K.Bogo
BdOpen room
NSS.Sjodal – N.Heiberg-Evenstad EWG.Osborne – F.Hinden
Closed room
NSS.Tommasini – M.Gold EWR.Sivertsvik – K.Bogo
IMPs
ContractByLeadResNSEWButlerContractByLeadResNSEWButlerNORWAYENGLAND
6♠N♣7=9805.16♠N♦9=9805.1
3NTE♥2=4000.03NTW♠10=4000.0
5♣S♠A=6001.33NTS♦J=6001.3
2NTE♥10-1502.21♣E♥10-21003.62
5♦N♠Q=6009.25♦N♠K=6009.2
1NTS♥2-21002.71NTS♦6-1503.82
2♠N♥6=1100.32♠N♥5=1100.3
3NTW♦6+14300.83NTW♦7+14300.8
4♠W♥K-11001.44♠xW♥A-12004.03
5♣S♠Q=6007.03♠W♠8-11004.611
ΣButler / IMPsNS+30.0NS+23.5117
BdContByResNSEWButlerIMP
🇳🇴🏴󠁧󠁢󠁥󠁮󠁧󠁿
6♠N=9805.1
6♠N=9805.1
3NTE=4000.0
3NTW=4000.0
5♣S=6001.3
3NTS=6001.3
2NTE-1502.22
1♣E-21003.6
5♦N=6009.2
5♦N=6009.2
1NTS-21002.72
1NTS-1503.8
2♠N=1100.3
2♠N=1100.3
3NTW+14300.8
3NTW+14300.8
4♠W-11001.43
4♠xW-12004.0
5♣S=6007.011
3♠W-11004.6
ΣButler OpenNS+30.0117
Butler ClosedNS+23.5
Player Butler in this match
PlayerBdsTotalAvg
🇳🇴 S.Sjodal10+30.0+3.00
🇳🇴 N.Heiberg-Evenstad10+30.0+3.00
🏴󠁧󠁢󠁥󠁮󠁧󠁿 S.Tommasini10+23.5+2.35
🏴󠁧󠁢󠁥󠁮󠁧󠁿 M.Gold10+23.5+2.35
🇳🇴 R.Sivertsvik10-23.5-2.35
🇳🇴 K.Bogo10-23.5-2.35
🏴󠁧󠁢󠁥󠁮󠁧󠁿 G.Osborne10-30.0-3.00
🏴󠁧󠁢󠁥󠁮󠁧󠁿 F.Hinden10-30.0-3.00

🇦🇺 AUSTRALIA vs 🇲🇦 MOROCCO 10.39 : 9.61 VP (match 124906) PBN↑ top

Open room
NSD.Beauchamp – J.Tutty EWS.Badri – L.Lamrani
Closed room
NSR.Elmaroufi – E.Levy EWM.Van Der Vlugt – D.Neumann
BdOpen room
NSD.Beauchamp – J.Tutty EWS.Badri – L.Lamrani
Closed room
NSR.Elmaroufi – E.Levy EWM.Van Der Vlugt – D.Neumann
IMPs
ContractByLeadResNSEWButlerContractByLeadResNSEWButlerAUSTRALIAMOROCCO
6♣S♥10=9203.56♠N♦6=9805.12
3NTW♠3+14300.93NTW♠10+14300.9
5♣N♦2=6001.33NTS♦J+26603.02
1NTN♥5+11204.21♣E♥10-1502.22
4♠E♦10-21001.54♠E♦10-1503.12
1NTS♦4+11207.51NTS♦4-21002.76
2♠N♥6=1100.32♠N♥7-1504.04
3NTW♠J+14300.83NTW♦8+24600.31
4♠xW♥A=79011.86♥N♦A-21002.412
4♠W♥K-22001.74♣N♥3+11503.12
ΣButler / IMPsNS+1.7NS-0.81716
BdContByResNSEWButlerIMP
🇦🇺🇲🇦
6♣S=9203.52
6♠N=9805.1
3NTW+14300.9
3NTW+14300.9
5♣N=6001.32
3NTS+26603.0
1NTN+11204.22
1♣E-1502.2
4♠E-21001.52
4♠E-1503.1
1NTS+11207.56
1NTS-21002.7
2♠N=1100.34
2♠N-1504.0
3NTW+14300.81
3NTW+24600.3
4♠xW=79011.812
6♥N-21002.4
4♠W-22001.72
4♣N+11503.1
ΣButler OpenNS+1.71716
Butler ClosedNS-0.8
Player Butler in this match
PlayerBdsTotalAvg
🇦🇺 D.Beauchamp10+1.7+0.17
🇦🇺 J.Tutty10+1.7+0.17
🇦🇺 M.Van Der Vlugt10+0.8+0.08
🇦🇺 D.Neumann10+0.8+0.08
🇲🇦 R.Elmaroufi10-0.8-0.08
🇲🇦 E.Levy10-0.8-0.08
🇲🇦 S.Badri10-1.7-0.17
🇲🇦 L.Lamrani10-1.7-0.17

🇨🇱 CHILE vs 🇮🇱 ISRAEL 10.77 : 9.23 VP (match 124907) PBN↑ top

Open room
NSG.Rubio – A.Zeman EWA.Asulin – R.Pachtman
Closed room
NSR.Benin-Barr – Y.Zack EWF.Nacrur – G.Guridi
BdOpen room
NSG.Rubio – A.Zeman EWA.Asulin – R.Pachtman
Closed room
NSR.Benin-Barr – Y.Zack EWF.Nacrur – G.Guridi
IMPs
ContractByLeadResNSEWButlerContractByLeadResNSEWButlerCHILEISRAEL
4♥S♣3+24806.44♠S♠4+24806.4
3NTW♠3=4000.03NTW♠10+24602.02
6♣S♠A-110010.63NTN♦7+16302.212
4♦S♠J-31502.91♣E♥10-21003.66
4♠E♦10-1503.14♠E♦10-21001.52
1NTS♥2-31501.14♥W♣6=6208.910
2♠N♥7=1100.32♠N♠7=1100.3
3NTW♦8+24600.33NTW♦7+14300.81
4♠xW♥A-12004.04♠W♥A=6209.913
4♣N♦9+11503.14♠W♥K-22001.72
ΣButler / IMPsNS-21.0NS-23.52523
BdContByResNSEWButlerIMP
🇨🇱🇮🇱
4♥S+24806.4
4♠S+24806.4
3NTW=4000.02
3NTW+24602.0
6♣S-110010.612
3NTN+16302.2
4♦S-31502.96
1♣E-21003.6
4♠E-1503.12
4♠E-21001.5
1NTS-31501.110
4♥W=6208.9
2♠N=1100.3
2♠N=1100.3
3NTW+24600.31
3NTW+14300.8
4♠xW-12004.013
4♠W=6209.9
4♣N+11503.12
4♠W-22001.7
ΣButler OpenNS-21.02523
Butler ClosedNS-23.5
Player Butler in this match
PlayerBdsTotalAvg
🇨🇱 F.Nacrur10+23.5+2.35
🇨🇱 G.Guridi10+23.5+2.35
🇮🇱 A.Asulin10+21.0+2.10
🇮🇱 R.Pachtman10+21.0+2.10
🇨🇱 G.Rubio10-21.0-2.10
🇨🇱 A.Zeman10-21.0-2.10
🇮🇱 R.Benin-Barr10-23.5-2.35
🇮🇱 Y.Zack10-23.5-2.35

🇺🇸 U.S.A. vs 🇨🇴 COLOMBIA 5.46 : 14.54 VP (match 124908) PBN↑ top

Open room
NSS.Shi – D.Korbel EWJ.Barrera – J.Ochoa
Closed room
NSC.Hoyos – D.Bernal EWS.Zhang – E.Wold
BdOpen room
NSS.Shi – D.Korbel EWJ.Barrera – J.Ochoa
Closed room
NSC.Hoyos – D.Bernal EWS.Zhang – E.Wold
IMPs
ContractByLeadResNSEWButlerContractByLeadResNSEWButlerU.S.A.COLOMBIA
6♣S♦K=9203.56♠N♦8=9805.12
3NTW♥3+14300.93NTW♠10=4000.01
3NTN♦9+16302.23NTS♠6+16302.2
3♠E♣10=1402.81NTN♣6=903.46
4♠E♥Q-1503.14♠E♦2-1503.1
1NTS♥2-31501.11NTS♥2-31501.1
2♠N♥8+11401.32♠N♥6=1100.31
3NTW♣9+24600.33NTW♠6+24600.3
4♠W♥A-22004.04♠W♥K-11001.43
3♠xW♥K-12001.75♣S♠K=6007.09
ΣButler / IMPsNS+3.3NS+17.1418
BdContByResNSEWButlerIMP
🇺🇸🇨🇴
6♣S=9203.52
6♠N=9805.1
3NTW+14300.91
3NTW=4000.0
3NTN+16302.2
3NTS+16302.2
3♠E=1402.86
1NTN=903.4
4♠E-1503.1
4♠E-1503.1
1NTS-31501.1
1NTS-31501.1
2♠N+11401.31
2♠N=1100.3
3NTW+24600.3
3NTW+24600.3
4♠W-22004.03
4♠W-11001.4
3♠xW-12001.79
5♣S=6007.0
ΣButler OpenNS+3.3418
Butler ClosedNS+17.1
Player Butler in this match
PlayerBdsTotalAvg
🇨🇴 C.Hoyos10+17.1+1.71
🇨🇴 D.Bernal10+17.1+1.71
🇺🇸 S.Shi10+3.3+0.33
🇺🇸 D.Korbel10+3.3+0.33
🇨🇴 J.Barrera10-3.3-0.33
🇨🇴 J.Ochoa10-3.3-0.33
🇺🇸 S.Zhang10-17.1-1.71
🇺🇸 E.Wold10-17.1-1.71

🇵🇱 POLAND vs 🇸🇪 SWEDEN 15.29 : 4.71 VP (match 124909) PBN↑ top

Open room
NSD.Kazmucha – M.Hutyra EWK.Ahlesved – C.Ahlesved
Closed room
NSF.Jarlvik – T.Trendafilova EWP.Zatorski – K.Dufrat
BdOpen room
NSD.Kazmucha – M.Hutyra EWK.Ahlesved – C.Ahlesved
Closed room
NSF.Jarlvik – T.Trendafilova EWP.Zatorski – K.Dufrat
IMPs
ContractByLeadResNSEWButlerContractByLeadResNSEWButlerPOLANDSWEDEN
6♠N♦8=9805.16♠S♦K=9805.1
3NTW♠5+14300.93NTW♠4+24602.01
3NTS♦J+16302.22NTS♦J+21807.210
3♥S♣7-21001.63♦S♣5-21001.6
4♠E♦9-1503.14♠E♣2-21001.52
1♠N♦8-31501.12♥E♦K+21700.61
2♠N♥6=1100.32♠N♥7+11401.31
3NTW♠7+34901.33NTW♠6+34901.3
4♠W♥A-11001.44♠W♥A-22004.03
5♣S♠K=6007.03♠W♥K-11004.611
ΣButler / IMPsNS+10.2NS-7.2236
BdContByResNSEWButlerIMP
🇵🇱🇸🇪
6♠N=9805.1
6♠S=9805.1
3NTW+14300.91
3NTW+24602.0
3NTS+16302.210
2NTS+21807.2
3♥S-21001.6
3♦S-21001.6
4♠E-1503.12
4♠E-21001.5
1♠N-31501.11
2♥E+21700.6
2♠N=1100.31
2♠N+11401.3
3NTW+34901.3
3NTW+34901.3
4♠W-11001.43
4♠W-22004.0
5♣S=6007.011
3♠W-11004.6
ΣButler OpenNS+10.2236
Butler ClosedNS-7.2
Player Butler in this match
PlayerBdsTotalAvg
🇵🇱 D.Kazmucha10+10.2+1.02
🇵🇱 M.Hutyra10+10.2+1.02
🇵🇱 P.Zatorski10+7.2+0.72
🇵🇱 K.Dufrat10+7.2+0.72
🇸🇪 F.Jarlvik10-7.2-0.72
🇸🇪 T.Trendafilova10-7.2-0.72
🇸🇪 K.Ahlesved10-10.2-1.02
🇸🇪 C.Ahlesved10-10.2-1.02

🇨🇭 SWITZERLAND vs 🇩🇪 GERMANY 12.83 : 7.17 VP (match 124910) PBN↑ top

Open room
NSS.Magnusson – L.Duc EWR.Welland – S.Auken
Closed room
NSM.Gromoeller – A.Gladiator EWJ.Amiguet – C.Billiet
BdOpen room
NSS.Magnusson – L.Duc EWR.Welland – S.Auken
Closed room
NSM.Gromoeller – A.Gladiator EWJ.Amiguet – C.Billiet
IMPs
ContractByLeadResNSEWButlerContractByLeadResNSEWButlerSWITZERLANDGERMANY
4♠N♥5+24806.44♠N♣7+24806.4
3NTW♥6=4000.03NTW♠10+14300.91
3NTS♦J+16302.23NTN♦7+16302.2
2♠E♥10+11402.81♣E♥10-21003.66
4♦N♠K+11500.04♠E♦2-21001.52
3♥W♣4+11700.61NTS♦4-21002.72
2♠N♥6+11401.32♠N♥7=1100.31
3NTW♦8+24600.33NTW♦8+14300.81
4♠W♥A-22004.04♠W♥A-11001.43
5♣S♠K=6007.04♣N♠A+21702.710
ΣButler / IMPsNS+5.6NS-0.5179
BdContByResNSEWButlerIMP
🇨🇭🇩🇪
4♠N+24806.4
4♠N+24806.4
3NTW=4000.01
3NTW+14300.9
3NTS+16302.2
3NTN+16302.2
2♠E+11402.86
1♣E-21003.6
4♦N+11500.02
4♠E-21001.5
3♥W+11700.62
1NTS-21002.7
2♠N+11401.31
2♠N=1100.3
3NTW+24600.31
3NTW+14300.8
4♠W-22004.03
4♠W-11001.4
5♣S=6007.010
4♣N+21702.7
ΣButler OpenNS+5.6179
Butler ClosedNS-0.5
Player Butler in this match
PlayerBdsTotalAvg
🇨🇭 S.Magnusson10+5.6+0.56
🇨🇭 L.Duc10+5.6+0.56
🇨🇭 J.Amiguet10+0.5+0.05
🇨🇭 C.Billiet10+0.5+0.05
🇩🇪 M.Gromoeller10-0.5-0.05
🇩🇪 A.Gladiator10-0.5-0.05
🇩🇪 R.Welland10-5.6-0.56
🇩🇪 S.Auken10-5.6-0.56

🇨🇦 CANADA vs 🇭🇺 HUNGARY 10.39 : 9.61 VP (match 124911) PBN↑ top

Open room
NSR.Davidson – B.Bryant EWC.Szabo – B.Fischer
Closed room
NSK.Mezei – L.Honti EWM.Gamble – K.Fung
BdOpen room
NSR.Davidson – B.Bryant EWC.Szabo – B.Fischer
Closed room
NSK.Mezei – L.Honti EWM.Gamble – K.Fung
IMPs
ContractByLeadResNSEWButlerContractByLeadResNSEWButlerCANADAHUNGARY
6♠N♥6=9805.14♠N♥6+24806.411
3NTW♠10=4000.03NTW♠9+14300.91
5♣N♦2-220011.93NTS♦J+16302.213
2♠W♣2=1101.81♣E♥10-21003.65
3♠E♦2-1503.14♠E♦10-1503.1
3♥W♦A+11700.64♥E♦K=6208.910
2♠N♥6=1100.32♠N♥8=1100.3
3NTW♦7+24600.33NTW♦8+14300.81
4♠W♥K-22004.04♠W♥A-22004.0
3♠W♥K-11004.64♣N♠A+11503.12
ΣButler / IMPsNS-11.7NS-11.52221
BdContByResNSEWButlerIMP
🇨🇦🇭🇺
6♠N=9805.111
4♠N+24806.4
3NTW=4000.01
3NTW+14300.9
5♣N-220011.913
3NTS+16302.2
2♠W=1101.85
1♣E-21003.6
3♠E-1503.1
4♠E-1503.1
3♥W+11700.610
4♥E=6208.9
2♠N=1100.3
2♠N=1100.3
3NTW+24600.31
3NTW+14300.8
4♠W-22004.0
4♠W-22004.0
3♠W-11004.62
4♣N+11503.1
ΣButler OpenNS-11.72221
Butler ClosedNS-11.5
Player Butler in this match
PlayerBdsTotalAvg
🇭🇺 C.Szabo10+11.7+1.17
🇭🇺 B.Fischer10+11.7+1.17
🇨🇦 M.Gamble10+11.5+1.15
🇨🇦 K.Fung10+11.5+1.15
🇭🇺 K.Mezei10-11.5-1.15
🇭🇺 L.Honti10-11.5-1.15
🇨🇦 R.Davidson10-11.7-1.17
🇨🇦 B.Bryant10-11.7-1.17

🇪🇸 SPAIN vs 🇫🇷 FRANCE 18.58 : 1.42 VP (match 124912) PBN↑ top

Open room
NSA.Martorell – A.Wasik EWL.Thuillez – V.Reess
Closed room
NSP.Schmidt – J.Zochowska EWL.Lantaron – M.Sainz De Vicuna
BdOpen room
NSA.Martorell – A.Wasik EWL.Thuillez – V.Reess
Closed room
NSP.Schmidt – J.Zochowska EWL.Lantaron – M.Sainz De Vicuna
IMPs
ContractByLeadResNSEWButlerContractByLeadResNSEWButlerSPAINFRANCE
4♠S♥10+24806.44♠N♦9+24806.4
3NTW♠10=4000.03NTW♠4+24602.02
6♣S♦J=137013.13NTS♦J=6001.313
1♣E♣10-1502.22NTE♥10-21003.62
4♠E♦2-1503.14♠E♦2-1503.1
1NTS♦4-21002.74♥E♦K=6208.911
2♠N♥7=1100.33♣W♦Q-1501.72
3NTW♦5+14300.84♥W♦8+14500.31
4♠W♥A-22004.04♠W♥A-11001.43
3♠W♥K-11004.65♣N♠A-11008.05
ΣButler / IMPsNS+9.0NS-24.1372
BdContByResNSEWButlerIMP
🇪🇸🇫🇷
4♠S+24806.4
4♠N+24806.4
3NTW=4000.02
3NTW+24602.0
6♣S=137013.113
3NTS=6001.3
1♣E-1502.22
2NTE-21003.6
4♠E-1503.1
4♠E-1503.1
1NTS-21002.711
4♥E=6208.9
2♠N=1100.32
3♣W-1501.7
3NTW+14300.81
4♥W+14500.3
4♠W-22004.03
4♠W-11001.4
3♠W-11004.65
5♣N-11008.0
ΣButler OpenNS+9.0372
Butler ClosedNS-24.1
Player Butler in this match
PlayerBdsTotalAvg
🇪🇸 L.Lantaron10+24.1+2.41
🇪🇸 M.Sainz De Vicuna10+24.1+2.41
🇪🇸 A.Martorell10+9.0+0.90
🇪🇸 A.Wasik10+9.0+0.90
🇫🇷 L.Thuillez10-9.0-0.90
🇫🇷 V.Reess10-9.0-0.90
🇫🇷 P.Schmidt10-24.1-2.41
🇫🇷 J.Zochowska10-24.1-2.41

🇮🇪 IRELAND vs 🇭🇷 CROATIA 17.16 : 2.84 VP (match 124913) PBN↑ top

Open room
NSJ.Corfield – M.Haugh EWD.Diklic – M.Pilipovic
Closed room
NSN.Sver – V.Zoric EWS.Newell – C.Dima
BdOpen room
NSJ.Corfield – M.Haugh EWD.Diklic – M.Pilipovic
Closed room
NSN.Sver – V.Zoric EWS.Newell – C.Dima
IMPs
ContractByLeadResNSEWButlerContractByLeadResNSEWButlerIRELANDCROATIA
6♠S♦K=9805.14♠N♥6+24806.411
3NTW♠9+24602.03NTW♠3=4000.02
3NTN♦2+16302.24♥N♣J-220011.913
2NTE♣10-1502.21NTE♥10=901.34
5♦N♠K=6009.24♠xE♥Q-11001.511
1NTS♥2-31501.12♠N♦8-31501.1
3♥W♦Q-21000.32♠N♦8=1100.3
3NTW♦8+24600.33NTW♣9+24600.3
4♠W♥A-22004.04♠W♥A-22004.0
3♠W♥K-11004.65♣S♠K=6007.011
ΣButler / IMPsNS+17.2NS-9.03913
BdContByResNSEWButlerIMP
🇮🇪🇭🇷
6♠S=9805.111
4♠N+24806.4
3NTW+24602.02
3NTW=4000.0
3NTN+16302.213
4♥N-220011.9
2NTE-1502.24
1NTE=901.3
5♦N=6009.211
4♠xE-11001.5
1NTS-31501.1
2♠N-31501.1
3♥W-21000.3
2♠N=1100.3
3NTW+24600.3
3NTW+24600.3
4♠W-22004.0
4♠W-22004.0
3♠W-11004.611
5♣S=6007.0
ΣButler OpenNS+17.23913
Butler ClosedNS-9.0
Player Butler in this match
PlayerBdsTotalAvg
🇮🇪 J.Corfield10+17.2+1.72
🇮🇪 M.Haugh10+17.2+1.72
🇮🇪 S.Newell10+9.0+0.90
🇮🇪 C.Dima10+9.0+0.90
🇭🇷 N.Sver10-9.0-0.90
🇭🇷 V.Zoric10-9.0-0.90
🇭🇷 D.Diklic10-17.2-1.72
🇭🇷 M.Pilipovic10-17.2-1.72

🇧🇷 BRAZIL vs 🇮🇳 INDIA 3.82 : 16.18 VP (match 124914) PBN↑ top

Open room
NSA.Vidigal – R.Dias EWB.Satyanarayana – K.Nadar
Closed room
NST.Ramani – B.Kohli EWF.Kladt – L.Ferreira
BdOpen room
NSA.Vidigal – R.Dias EWB.Satyanarayana – K.Nadar
Closed room
NST.Ramani – B.Kohli EWF.Kladt – L.Ferreira
IMPs
ContractByLeadResNSEWButlerContractByLeadResNSEWButlerBRAZILINDIA
6♠N♥6=9805.16♠S♥9=9805.1
3NTW♠5+14300.93NTW♠9+14300.9
3NTN♦7+16302.23NTS♦J+16302.2
3♥xN♦K-350010.01NTN♥6+21504.912
4♠E♦2-21001.54♠W♦A-21001.5
3♥W♦A+22000.44♥W♣4=6208.99
PassN—002.92♠N♥6+11401.34
3NTW♠6+24600.33NTW♦8+24600.3
4♠xW♥A=79011.84♠W♥A-22004.014
3♠W♣3-11004.63♠W♥K-11004.6
ΣButler / IMPsNS-25.1NS+1.3930
BdContByResNSEWButlerIMP
🇧🇷🇮🇳
6♠N=9805.1
6♠S=9805.1
3NTW+14300.9
3NTW+14300.9
3NTN+16302.2
3NTS+16302.2
3♥xN-350010.012
1NTN+21504.9
4♠E-21001.5
4♠W-21001.5
3♥W+22000.49
4♥W=6208.9
PassN002.94
2♠N+11401.3
3NTW+24600.3
3NTW+24600.3
4♠xW=79011.814
4♠W-22004.0
3♠W-11004.6
3♠W-11004.6
ΣButler OpenNS-25.1930
Butler ClosedNS+1.3
Player Butler in this match
PlayerBdsTotalAvg
🇮🇳 B.Satyanarayana10+25.1+2.51
🇮🇳 K.Nadar10+25.1+2.51
🇮🇳 T.Ramani10+1.3+0.13
🇮🇳 B.Kohli10+1.3+0.13
🇧🇷 F.Kladt10-1.3-0.13
🇧🇷 L.Ferreira10-1.3-0.13
🇧🇷 A.Vidigal10-25.1-2.51
🇧🇷 R.Dias10-25.1-2.51

🇯🇵 JAPAN vs 🇳🇿 NEW ZEALAND 12.83 : 7.17 VP (match 124915) PBN↑ top

Open room
NSK.Furuta – R.Furuta EWJ.Millington – B.Jones
Closed room
NSE.Fisher – B.Fisher EWH.Miura – K.Sengoku
BdOpen room
NSK.Furuta – R.Furuta EWJ.Millington – B.Jones
Closed room
NSE.Fisher – B.Fisher EWH.Miura – K.Sengoku
IMPs
ContractByLeadResNSEWButlerContractByLeadResNSEWButlerJAPANNEW ZEALAND
4♠S♦K+24806.46♣S♦Q=9203.510
3NTW♠10-1509.93NTW♠4=4000.010
1NTN♦9+31807.25♣N♦2=6001.39
1NTE♥10=901.32♠W♥A+11402.82
5♦N♠K=6009.24♠W♦K-1503.111
2♦S♣3-31501.13♥W♦A+11700.61
2♠N♥6=1100.32♠N♥6=1100.3
3NTE♦10+14300.83NTW♠6+34901.32
4♠W♥A-11001.44♠W♥A=6209.912
3♠W♥K-11004.65♣S♠K=6007.011
ΣButler / IMPsNS+3.2NS-4.43830
BdContByResNSEWButlerIMP
🇯🇵🇳🇿
4♠S+24806.410
6♣S=9203.5
3NTW-1509.910
3NTW=4000.0
1NTN+31807.29
5♣N=6001.3
1NTE=901.32
2♠W+11402.8
5♦N=6009.211
4♠W-1503.1
2♦S-31501.11
3♥W+11700.6
2♠N=1100.3
2♠N=1100.3
3NTE+14300.82
3NTW+34901.3
4♠W-11001.412
4♠W=6209.9
3♠W-11004.611
5♣S=6007.0
ΣButler OpenNS+3.23830
Butler ClosedNS-4.4
Player Butler in this match
PlayerBdsTotalAvg
🇯🇵 H.Miura10+4.4+0.44
🇯🇵 K.Sengoku10+4.4+0.44
🇯🇵 K.Furuta10+3.2+0.32
🇯🇵 R.Furuta10+3.2+0.32
🇳🇿 J.Millington10-3.2-0.32
🇳🇿 B.Jones10-3.2-0.32
🇳🇿 E.Fisher10-4.4-0.44
🇳🇿 B.Fisher10-4.4-0.44

🇨🇳 CHINA vs 🇭🇰 HONG KONG CHINA 4.95 : 15.05 VP (match 124916) PBN↑ top

Open room
NSY.Chen – B.Fu EWK.Mak – T.Tang
Closed room
NSW.Lai – W.Wang EWY.Liu – Y.Lu
BdOpen room
NSY.Chen – B.Fu EWK.Mak – T.Tang
Closed room
NSW.Lai – W.Wang EWY.Liu – Y.Lu
IMPs
ContractByLeadResNSEWButlerContractByLeadResNSEWButlerCHINAHONG KONG CHINA
6♠N♥6=9805.16♠S♦K=9805.1
3NTW♦J+14300.93NTW♠9=4000.01
5♣N♦2+16202.25♣S♣6=6001.31
2♠W♥A+11402.83♦S♣7-21001.61
4♠W♦A-21001.55♦N♠K=6009.211
3♥W♦A+11700.61NTS♦6=906.66
2♠N♥6=1100.32♠N♥6=1100.3
3NTW♦7+14300.84♥W♣6+24801.32
4♠W♥A-22004.04♠W♥A-22004.0
5♣S♠K=6007.05♣S♠K=6007.0
ΣButler / IMPsNS+14.8NS+30.6319
BdContByResNSEWButlerIMP
🇨🇳🇭🇰
6♠N=9805.1
6♠S=9805.1
3NTW+14300.91
3NTW=4000.0
5♣N+16202.21
5♣S=6001.3
2♠W+11402.81
3♦S-21001.6
4♠W-21001.511
5♦N=6009.2
3♥W+11700.66
1NTS=906.6
2♠N=1100.3
2♠N=1100.3
3NTW+14300.82
4♥W+24801.3
4♠W-22004.0
4♠W-22004.0
5♣S=6007.0
5♣S=6007.0
ΣButler OpenNS+14.8319
Butler ClosedNS+30.6
Player Butler in this match
PlayerBdsTotalAvg
🇭🇰 W.Lai10+30.6+3.06
🇭🇰 W.Wang10+30.6+3.06
🇨🇳 Y.Chen10+14.8+1.48
🇨🇳 B.Fu10+14.8+1.48
🇭🇰 K.Mak10-14.8-1.48
🇭🇰 T.Tang10-14.8-1.48
🇨🇳 Y.Liu10-30.6-3.06
🇨🇳 Y.Lu10-30.6-3.06

🇮🇹 ITALY vs 🇹🇷 TURKIYE 18.71 : 1.29 VP (match 124917) PBN↑ top

Open room
NSA.Gandoglia – I.Baroni EWT.Ozbay – H.Ozgur
Closed room
NSA.Guventas – S.Kolata EWL.Cima – B.Dessi
BdOpen room
NSA.Gandoglia – I.Baroni EWT.Ozbay – H.Ozgur
Closed room
NSA.Guventas – S.Kolata EWL.Cima – B.Dessi
IMPs
ContractByLeadResNSEWButlerContractByLeadResNSEWButlerITALYTURKIYE
4♠N♣7+24806.44♠S♦K+24806.4
3NTW♠3+24602.03NTW♠10+24602.0
3NTS♦J+16302.23NTS♦J+16302.2
3♠E♥8=1402.83♣N♠K-1500.23
4♠xE♦2-23003.14♠E♦10-1503.16
3♦N♣A-42000.43♦xS♥A-35006.87
2♠N♥8=1100.3PassN—002.93
3NTW♦7+14300.83NTW♦7+14300.8
4♠W♥K-22004.04♠W♥A=6209.913
5♣S♠K=6007.04♣N♥2+11503.110
ΣButler / IMPsNS+5.8NS-31.4393
BdContByResNSEWButlerIMP
🇮🇹🇹🇷
4♠N+24806.4
4♠S+24806.4
3NTW+24602.0
3NTW+24602.0
3NTS+16302.2
3NTS+16302.2
3♠E=1402.83
3♣N-1500.2
4♠xE-23003.16
4♠E-1503.1
3♦N-42000.47
3♦xS-35006.8
2♠N=1100.33
PassN002.9
3NTW+14300.8
3NTW+14300.8
4♠W-22004.013
4♠W=6209.9
5♣S=6007.010
4♣N+11503.1
ΣButler OpenNS+5.8393
Butler ClosedNS-31.4
Player Butler in this match
PlayerBdsTotalAvg
🇮🇹 L.Cima10+31.4+3.14
🇮🇹 B.Dessi10+31.4+3.14
🇮🇹 A.Gandoglia10+5.8+0.58
🇮🇹 I.Baroni10+5.8+0.58
🇹🇷 T.Ozbay10-5.8-0.58
🇹🇷 H.Ozgur10-5.8-0.58
🇹🇷 A.Guventas10-31.4-3.14
🇹🇷 S.Kolata10-31.4-3.14
♠ QJ82
♥ J74
♦ AT
♣ JT86
♠ T4
♥ T932
♦ KQ52
♣ 532
11
Dlr S
None
♠ A96
♥ 65
♦ J98763
♣ 74
♠ K753
♥ AKQ8
♦ 4
♣ AKQ9
Makeable tricks
NT♠♥♦♣
N91211612
S91211612
E11171
W11171
Minimax (par): NS +980: 6♠N= 6♠S=
♠ AT9543
♥ T63
♦ J4
♣ Q6
♠ K72
♥ AKQ
♦ K53
♣ AJ74
12
Dlr W
N-S
♠ QJ86
♥ 84
♦ A762
♣ 983
♠ –
♥ J9752
♦ QT98
♣ KT52
Makeable tricks
NT♠♥♦♣
N24643
S24643
E119799
W119799
Minimax (par): NS -460: 3NTE+2 3NTW+2
♠ QT42
♥ AQJ86
♦ K
♣ A87
♠ A86
♥ T742
♦ JT5
♣ 643
13
Dlr N
All
♠ K975
♥ K95
♦ Q9872
♣ J
♠ J3
♥ 3
♦ A643
♣ KQT952
Makeable tricks
NT♠♥♦♣
N1099811
S1099811
E33451
W33451
Minimax (par): NS +630: 3NTN+1 3NTS+1
♠ 8
♥ AK32
♦ AJ3
♣ KJ432
♠ JT943
♥ J74
♦ T65
♣ 75
14
Dlr E
None
♠ KQ6
♥ Q65
♦ KQ9
♣ AQ96
♠ A752
♥ T98
♦ 8742
♣ T8
Makeable tricks
NT♠♥♦♣
N75778
S64777
E68565
W68565
Minimax (par): NS -100: 3♣Nx-1
♠ 4
♥ 9852
♦ AKJ85
♣ AQT
♠ JT953
♥ AT6
♦ 4
♣ J753
15
Dlr S
N-S
♠ KQ762
♥ KJ74
♦ Q6
♣ 86
♠ A8
♥ Q3
♦ T9732
♣ K942
Makeable tricks
NT♠♥♦♣
N946119
S1046119
E39623
W39724
Minimax (par): NS +300: 5♠Ex-2 5♠Wx-2
♠ KJ932
♥ QJ8
♦ A5
♣ 864
♠ A5
♥ A642
♦ J764
♣ Q53
16
Dlr W
E-W
♠ Q874
♥ KT95
♦ 8
♣ AKT7
♠ T6
♥ 73
♦ KQT932
♣ J92
Makeable tricks
NT♠♥♦♣
N44263
S44263
E881079
W991179
Minimax (par): NS -650: 4♥W+1
♠ AT654
♥ K2
♦ QJ54
♣ J2
♠ Q9
♥ AJ43
♦ 92
♣ QT865
17
Dlr N
None
♠ KJ2
♥ 8765
♦ KT8
♣ A43
♠ 873
♥ QT9
♦ A763
♣ K97
Makeable tricks
NT♠♥♦♣
N68685
S68685
E65757
W65758
Minimax (par): NS +100: 3♣Wx-1
♠ J76
♥ JT5
♦ 8765
♣ 976
♠ KQ54
♥ AK
♦ KQJ4
♣ KQ4
18
Dlr E
N-S
♠ 932
♥ Q9872
♦ A2
♣ T82
♠ AT8
♥ 643
♦ T93
♣ AJ53
Makeable tricks
NT♠♥♦♣
N22223
S22233
E1011111010
W1011111010
Minimax (par): NS -450: 4♥♠E+1 4♥♠W+1
♠ 7
♥ AK754
♦ K743
♣ QT5
♠ KQJT9643
♥ J
♦ –
♣ J632
19
Dlr S
E-W
♠ 82
♥ Q8
♦ AQJ9862
♣ K4
♠ A5
♥ T9632
♦ T5
♣ A987
Makeable tricks
NT♠♥♦♣
N941079
S951179
E48264
W48264
Minimax (par): NS +450: 4♥S+1
♠ 86
♥ KQ
♦ AQ75
♣ J7643
♠ KQJ932
♥ 64
♦ 862
♣ KQ
20
Dlr W
All
♠ AT75
♥ J9832
♦ 93
♣ 82
♠ 4
♥ AT75
♦ KJT4
♣ AT95
Makeable tricks
NT♠♥♦♣
N7571111
S7571111
E58522
W58522
Minimax (par): NS +600: 5♣♦N= 5♣♦S=