Round 18 — MIXED Teams

14 matches. → cumulative standings · → board records

Round 18 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)
1INDIASPAIN271514.006.00protocol →
2CHINACROATIA2263.2216.78protocol →
3HUNGARYMOROCCO221313.146.86protocol →
4CHILEPOLAND241513.146.86protocol →
5IRELANDSOUTH AFRICA221412.837.17protocol →
6GERMANYNEW ZEALAND171610.399.61protocol →
7AUSTRALIASWITZERLAND12313.146.86protocol →
8ARGENTINANORWAY372115.054.95protocol →
9ENGLANDFRANCE15413.726.28protocol →
10CANADAITALY24278.8611.14protocol →
11HONG KONG CHINASWEDEN12382.8417.16protocol →
12U.S.A.BRAZIL23415.754.25protocol →
13TURKIYECOLOMBIA231911.508.50protocol →
14JAPANDENMARK211213.146.86protocol →

Standings after round 18↑ top

Cumulative Victory Points through round 18 — the league table as it stood after this round. → full standings, every round & players

PlaceTeamVPR18Pld
1🇩🇪 GERMANY235.0810.3918
2🇺🇸 U.S.A.224.3915.7518
3🇭🇷 CROATIA221.2016.7818
4🇮🇹 ITALY216.6511.1418
5🇮🇳 INDIA214.8514.0018
6🇦🇺 AUSTRALIA212.4713.1418
7🇳🇴 NORWAY210.914.9518
8🇵🇱 POLAND209.076.8618
9🇭🇰 HONG KONG CHINA208.782.8418
10🇩🇰 DENMARK204.816.8618
11🇫🇷 FRANCE192.446.2818
12🇳🇿 NEW ZEALAND191.659.6118
13🇨🇴 COLOMBIA190.008.5018
14🇸🇪 SWEDEN187.7617.1618
15🇮🇱 ISRAEL187.4312.0018
16🏴󠁧󠁢󠁥󠁮󠁧󠁿 ENGLAND186.5113.7218
17🇪🇸 SPAIN179.506.0018
18🇨🇭 SWITZERLAND177.656.8618
19🇨🇳 CHINA170.183.2218
20🇯🇵 JAPAN167.9813.1418
21🇦🇷 ARGENTINA163.1015.0518
22🇮🇪 IRELAND162.5212.8318
23🇨🇱 CHILE157.4013.1418
24🇹🇷 TURKIYE151.9811.5018
25🇨🇦 CANADA150.088.8618
26🇭🇺 HUNGARY147.1213.1418
27🇲🇦 MOROCCO119.426.8618
28🇧🇷 BRAZIL109.794.2518
29🇿🇦 SOUTH AFRICA88.287.1718

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

Round 18 Butler standings↑ top

PlacePlayerTeamBoardsR18Avg/bd
1M.Mayorga🇦🇷 ARGENTINA10+21.9+2.19
1P.Pejacsevich🇦🇷 ARGENTINA10+21.9+2.19
3B.Kohli🇮🇳 INDIA10+20.4+2.04
3T.Ramani🇮🇳 INDIA10+20.4+2.04
5G.Hampson🇺🇸 U.S.A.10+19.8+1.98
5L.Honti🇭🇺 HUNGARY10+19.8+1.98
5K.Mezei🇭🇺 HUNGARY10+19.8+1.98
5J.Seamon-Molson🇺🇸 U.S.A.10+19.8+1.98
9M.Gold🏴󠁧󠁢󠁥󠁮󠁧󠁿 ENGLAND10+18.5+1.85
9S.Tommasini🏴󠁧󠁢󠁥󠁮󠁧󠁿 ENGLAND10+18.5+1.85
11K.Asplund🇸🇪 SWEDEN10+16.1+1.61
11S.Asplund Sivelind🇸🇪 SWEDEN10+16.1+1.61
13A.Miyakuni🇯🇵 JAPAN10+14.8+1.48
13K.Miyakuni🇯🇵 JAPAN10+14.8+1.48
15T.Brkljacic🇭🇷 CROATIA10+14.0+1.40
15M.Mestric🇭🇷 CROATIA10+14.0+1.40
17R.Elmaroufi🇲🇦 MOROCCO10+11.9+1.19
17E.Levy🇲🇦 MOROCCO10+11.9+1.19
19F.Jarlvik🇸🇪 SWEDEN10+11.2+1.12
19T.Trendafilova🇸🇪 SWEDEN10+11.2+1.12
21L.Lantaron🇪🇸 SPAIN10+10.7+1.07
21M.Mediero🇪🇸 SPAIN10+10.7+1.07
23N.Sver🇭🇷 CROATIA10+10.1+1.01
23V.Zoric🇭🇷 CROATIA10+10.1+1.01
25P.Schmidt🇫🇷 FRANCE10+7.8+0.78
25J.Zochowska🇫🇷 FRANCE10+7.8+0.78
27G.Rubio🇨🇱 CHILE10+7.4+0.74
27A.Zeman🇨🇱 CHILE10+7.4+0.74
29D.Beauchamp🇦🇺 AUSTRALIA10+5.1+0.51
29J.Tutty🇦🇺 AUSTRALIA10+5.1+0.51
31S.Kolata🇹🇷 TURKIYE10+4.9+0.49
31H.Ozgur🇹🇷 TURKIYE10+4.9+0.49
33C.Dima🇮🇪 IRELAND10+4.8+0.48
33S.Newell🇮🇪 IRELAND10+4.8+0.48
35K.Martensen-Larsen🇩🇰 DENMARK10+4.4+0.44
35F.Poulsen🇩🇰 DENMARK10+4.4+0.44
37K.Bogo🇳🇴 NORWAY10+3.9+0.39
37R.Sivertsvik🇳🇴 NORWAY10+3.9+0.39
39P.Gumby🇦🇺 AUSTRALIA10+3.6+0.36
39W.Lazer🇦🇺 AUSTRALIA10+3.6+0.36
41D.Bernal🇨🇴 COLOMBIA10+3.5+0.35
41C.Hoyos🇨🇴 COLOMBIA10+3.5+0.35
43M.Moloney🇮🇪 IRELAND10+2.8+0.28
43M.Rudzinski🇮🇪 IRELAND10+2.8+0.28
45S.Auken🇩🇪 GERMANY10+2.4+0.24
45R.Welland🇩🇪 GERMANY10+2.4+0.24
47B.Fisher🇳🇿 NEW ZEALAND10+2.1+0.21
47E.Fisher🇳🇿 NEW ZEALAND10+2.1+0.21
49I.Baroni🇮🇹 ITALY10+2.0+0.20
49A.Gandoglia🇮🇹 ITALY10+2.0+0.20
51D.Attanasio🇮🇹 ITALY10+1.7+0.17
51G.Manara🇮🇹 ITALY10+1.7+0.17
53G.Guridi🇨🇱 CHILE10+1.3+0.13
53F.Nacrur🇨🇱 CHILE10+1.3+0.13
55E.Wold🇺🇸 U.S.A.10+0.9+0.09
55S.Zhang🇺🇸 U.S.A.10+0.9+0.09
57R.Dias🇧🇷 BRAZIL10-0.9-0.09
57A.Vidigal🇧🇷 BRAZIL10-0.9-0.09
59P.Marcinowski🇵🇱 POLAND10-1.3-0.13
59J.Zmuda🇵🇱 POLAND10-1.3-0.13
61S.Blank🇨🇦 CANADA10-1.7-0.17
61M.Fourcaudot🇨🇦 CANADA10-1.7-0.17
63K.Fung🇨🇦 CANADA10-2.0-0.20
63M.Gamble🇨🇦 CANADA10-2.0-0.20
65A.Gladiator🇩🇪 GERMANY10-2.1-0.21
65M.Gromoeller🇩🇪 GERMANY10-2.1-0.21
67J.Atkinson🇳🇿 NEW ZEALAND10-2.4-0.24
67P.Carter🇳🇿 NEW ZEALAND10-2.4-0.24
69D.Keet🇿🇦 SOUTH AFRICA10-2.8-0.28
69C.Stanton🇿🇦 SOUTH AFRICA10-2.8-0.28
71C.Eryanik🇹🇷 TURKIYE10-3.5-0.35
71T.Ozbay🇹🇷 TURKIYE10-3.5-0.35
73L.Duc🇨🇭 SWITZERLAND10-3.6-0.36
73S.Magnusson🇨🇭 SWITZERLAND10-3.6-0.36
75C.Pellegrini🇦🇷 ARGENTINA10-3.9-0.39
75S.Rocca🇦🇷 ARGENTINA10-3.9-0.39
77K.Furuta🇯🇵 JAPAN10-4.4-0.44
77R.Furuta🇯🇵 JAPAN10-4.4-0.44
79L.Chemaly🇿🇦 SOUTH AFRICA10-4.8-0.48
79S.Lang🇿🇦 SOUTH AFRICA10-4.8-0.48
81J.Barrera🇨🇴 COLOMBIA10-4.9-0.49
81J.Ochoa🇨🇴 COLOMBIA10-4.9-0.49
83A.Meyerson🇨🇭 SWITZERLAND10-5.1-0.51
83E.Meyerson🇨🇭 SWITZERLAND10-5.1-0.51
85M.Hutyra🇵🇱 POLAND10-7.4-0.74
85D.Kazmucha🇵🇱 POLAND10-7.4-0.74
87F.Hinden🏴󠁧󠁢󠁥󠁮󠁧󠁿 ENGLAND10-7.8-0.78
87G.Osborne🏴󠁧󠁢󠁥󠁮󠁧󠁿 ENGLAND10-7.8-0.78
89Y.Liu🇨🇳 CHINA10-10.1-1.01
89Y.Lu🇨🇳 CHINA10-10.1-1.01
91H.Khandelwal🇮🇳 INDIA10-10.7-1.07
91R.Khandelwal🇮🇳 INDIA10-10.7-1.07
93K.Mak🇭🇰 HONG KONG CHINA10-11.2-1.12
93T.Tang🇭🇰 HONG KONG CHINA10-11.2-1.12
95B.Fischer🇭🇺 HUNGARY10-11.9-1.19
95C.Szabo🇭🇺 HUNGARY10-11.9-1.19
97Y.Kuang🇨🇳 CHINA10-14.0-1.40
97Y.Sun🇨🇳 CHINA10-14.0-1.40
99N.Bekkouche🇩🇰 DENMARK10-14.8-1.48
99F.Danielsen🇩🇰 DENMARK10-14.8-1.48
101S.Gui🇭🇰 HONG KONG CHINA10-16.1-1.61
101W.Wang🇭🇰 HONG KONG CHINA10-16.1-1.61
103V.Reess🇫🇷 FRANCE10-18.5-1.85
103L.Thuillez🇫🇷 FRANCE10-18.5-1.85
105B.Furlan🇧🇷 BRAZIL10-19.8-1.98
105L.Menezes🇧🇷 BRAZIL10-19.8-1.98
105G.Nabil🇲🇦 MOROCCO10-19.8-1.98
105A.Tazi🇲🇦 MOROCCO10-19.8-1.98
109A.Martorell🇪🇸 SPAIN10-20.4-2.04
109A.Wasik🇪🇸 SPAIN10-20.4-2.04
111S.Evenstad🇳🇴 NORWAY10-21.9-2.19
111E.Sjodal🇳🇴 NORWAY10-21.9-2.19

🇮🇳 INDIA vs 🇪🇸 SPAIN 14 : 6 VP (match 124919) PBN↑ top

Open room
NSR.Khandelwal – H.Khandelwal EWL.Lantaron – M.Mediero
Closed room
NSA.Martorell – A.Wasik EWB.Kohli – T.Ramani
BdOpen room
NSR.Khandelwal – H.Khandelwal EWL.Lantaron – M.Mediero
Closed room
NSA.Martorell – A.Wasik EWB.Kohli – T.Ramani
IMPs
ContractByLeadResNSEWButlerContractByLeadResNSEWButlerINDIASPAIN
PassN—001.0PassN—001.0
2♥N♠2+11401.71NTxE♥4=1806.78
2♥N♣K-33000.92NTE♥7=1205.05
3♣S♠7+11303.63♠E♣J=1403.57
3NTN♠5=4000.83NTN♠5+14300.21
2♠W♣2=1106.74♠W♣4-33003.19
3NTS♥4-1506.53NTS♥4-1506.5
4♠E♥4+24800.44♠E♠3+24800.4
2NTE♠Q=1203.33NTxE♠Q=75012.412
3NTE♣5+34900.24♠E♠3+24800.2
ΣButler / IMPsNS-10.7NS-20.42715
BdContByResNSEWButlerIMP
🇮🇳🇪🇸
PassN001.0
PassN001.0
2♥N+11401.78
1NTxE=1806.7
2♥N-33000.95
2NTE=1205.0
3♣S+11303.67
3♠E=1403.5
3NTN=4000.81
3NTN+14300.2
2♠W=1106.79
4♠W-33003.1
3NTS-1506.5
3NTS-1506.5
4♠E+24800.4
4♠E+24800.4
2NTE=1203.312
3NTxE=75012.4
3NTE+34900.2
4♠E+24800.2
ΣButler OpenNS-10.72715
Butler ClosedNS-20.4
Player Butler in this match
PlayerBdsTotalAvg
🇮🇳 B.Kohli10+20.4+2.04
🇮🇳 T.Ramani10+20.4+2.04
🇪🇸 L.Lantaron10+10.7+1.07
🇪🇸 M.Mediero10+10.7+1.07
🇮🇳 R.Khandelwal10-10.7-1.07
🇮🇳 H.Khandelwal10-10.7-1.07
🇪🇸 A.Martorell10-20.4-2.04
🇪🇸 A.Wasik10-20.4-2.04

🇨🇳 CHINA vs 🇭🇷 CROATIA 3.22 : 16.78 VP (match 124920) PBN↑ top

Open room
NSY.Sun – Y.Kuang EWM.Mestric – T.Brkljacic
Closed room
NSN.Sver – V.Zoric EWY.Liu – Y.Lu
BdOpen room
NSY.Sun – Y.Kuang EWM.Mestric – T.Brkljacic
Closed room
NSN.Sver – V.Zoric EWY.Liu – Y.Lu
IMPs
ContractByLeadResNSEWButlerContractByLeadResNSEWButlerCHINACROATIA
2♥E♠J=1101.92♥E♥3-21003.65
2♥S♣K=1100.61NTE♥4-22003.53
3NTW♥5+26606.53NTW♥4+16305.91
3♠E♣J=1403.53♠E♣J-1501.55
3NTN♠4+24601.33NTN♠4+14300.21
3NTE♦J-22000.34♠W♣8-22000.3
3NTS♥2-1506.53NTS♥4+24604.911
4♠E♦K+24800.44♠E♥4+24800.4
2♠S♥7=1101.73♠S♠4=1402.61
4♠E♦2+14500.94♠E♠3+24800.21
ΣButler / IMPsNS-14.0NS+10.1226
BdContByResNSEWButlerIMP
🇨🇳🇭🇷
2♥E=1101.95
2♥E-21003.6
2♥S=1100.63
1NTE-22003.5
3NTW+26606.51
3NTW+16305.9
3♠E=1403.55
3♠E-1501.5
3NTN+24601.31
3NTN+14300.2
3NTE-22000.3
4♠W-22000.3
3NTS-1506.511
3NTS+24604.9
4♠E+24800.4
4♠E+24800.4
2♠S=1101.71
3♠S=1402.6
4♠E+14500.91
4♠E+24800.2
ΣButler OpenNS-14.0226
Butler ClosedNS+10.1
Player Butler in this match
PlayerBdsTotalAvg
🇭🇷 M.Mestric10+14.0+1.40
🇭🇷 T.Brkljacic10+14.0+1.40
🇭🇷 N.Sver10+10.1+1.01
🇭🇷 V.Zoric10+10.1+1.01
🇨🇳 Y.Liu10-10.1-1.01
🇨🇳 Y.Lu10-10.1-1.01
🇨🇳 Y.Sun10-14.0-1.40
🇨🇳 Y.Kuang10-14.0-1.40

🇭🇺 HUNGARY vs 🇲🇦 MOROCCO 13.14 : 6.86 VP (match 124921) PBN↑ top

Open room
NSK.Mezei – L.Honti EWG.Nabil – A.Tazi
Closed room
NSR.Elmaroufi – E.Levy EWC.Szabo – B.Fischer
BdOpen room
NSK.Mezei – L.Honti EWG.Nabil – A.Tazi
Closed room
NSR.Elmaroufi – E.Levy EWC.Szabo – B.Fischer
IMPs
ContractByLeadResNSEWButlerContractByLeadResNSEWButlerHUNGARYMOROCCO
3♦S♣6=1104.01NTE♠J=901.45
2♥N♦4+11401.71♥S♠10+11100.61
2NTE♥7-11009.02♣E♠8+31504.46
4♠E♣J-42005.33♠E♣J-1501.54
3NTN♠5=4000.83NTN♦J+24601.32
3NTE♦J-33003.13NTW♣9-11002.35
3NTS♥4-1506.53NTS♥2+24604.911
4♠E♥2+24800.44♠E♥2+24800.4
2♠S♣J+21703.53♠S♦3+11703.5
4♠E♦2+14500.95♠W♣2+14800.21
ΣButler / IMPsNS+19.8NS+11.92213
BdContByResNSEWButlerIMP
🇭🇺🇲🇦
3♦S=1104.05
1NTE=901.4
2♥N+11401.71
1♥S+11100.6
2NTE-11009.06
2♣E+31504.4
4♠E-42005.34
3♠E-1501.5
3NTN=4000.82
3NTN+24601.3
3NTE-33003.15
3NTW-11002.3
3NTS-1506.511
3NTS+24604.9
4♠E+24800.4
4♠E+24800.4
2♠S+21703.5
3♠S+11703.5
4♠E+14500.91
5♠W+14800.2
ΣButler OpenNS+19.82213
Butler ClosedNS+11.9
Player Butler in this match
PlayerBdsTotalAvg
🇭🇺 K.Mezei10+19.8+1.98
🇭🇺 L.Honti10+19.8+1.98
🇲🇦 R.Elmaroufi10+11.9+1.19
🇲🇦 E.Levy10+11.9+1.19
🇭🇺 C.Szabo10-11.9-1.19
🇭🇺 B.Fischer10-11.9-1.19
🇲🇦 G.Nabil10-19.8-1.98
🇲🇦 A.Tazi10-19.8-1.98

🇨🇱 CHILE vs 🇵🇱 POLAND 13.14 : 6.86 VP (match 124922) PBN↑ top

Open room
NSG.Guridi – F.Nacrur EWP.Marcinowski – J.Zmuda
Closed room
NSD.Kazmucha – M.Hutyra EWA.Zeman – G.Rubio
BdOpen room
NSG.Guridi – F.Nacrur EWP.Marcinowski – J.Zmuda
Closed room
NSD.Kazmucha – M.Hutyra EWA.Zeman – G.Rubio
IMPs
ContractByLeadResNSEWButlerContractByLeadResNSEWButlerCHILEPOLAND
3♦S♠5-22004.42♥E♠J=1101.93
1♥S♥2+11100.61♥S♣K+21401.71
3NTW♥5+26606.52♥N♦A-11005.411
3♠E♣J-1501.53♥N♠9-21002.54
3NTN♠Q+14300.23NTN♠4+14300.2
4♠W♣4-33003.14♠W♣8-22000.33
3NTS♥4+24604.93NTS♥4-1506.511
4♠E♥4+24800.44♠E♦K+24800.4
3♦N♦Q+11302.53♣E♥5+11303.56
5♠E♣A+14800.24♠E♥Q+24800.2
ΣButler / IMPsNS+1.3NS-7.42415
BdContByResNSEWButlerIMP
🇨🇱🇵🇱
3♦S-22004.43
2♥E=1101.9
1♥S+11100.61
1♥S+21401.7
3NTW+26606.511
2♥N-11005.4
3♠E-1501.54
3♥N-21002.5
3NTN+14300.2
3NTN+14300.2
4♠W-33003.13
4♠W-22000.3
3NTS+24604.911
3NTS-1506.5
4♠E+24800.4
4♠E+24800.4
3♦N+11302.56
3♣E+11303.5
5♠E+14800.2
4♠E+24800.2
ΣButler OpenNS+1.32415
Butler ClosedNS-7.4
Player Butler in this match
PlayerBdsTotalAvg
🇨🇱 A.Zeman10+7.4+0.74
🇨🇱 G.Rubio10+7.4+0.74
🇨🇱 G.Guridi10+1.3+0.13
🇨🇱 F.Nacrur10+1.3+0.13
🇵🇱 P.Marcinowski10-1.3-0.13
🇵🇱 J.Zmuda10-1.3-0.13
🇵🇱 D.Kazmucha10-7.4-0.74
🇵🇱 M.Hutyra10-7.4-0.74

🇮🇪 IRELAND vs 🇿🇦 SOUTH AFRICA 12.83 : 7.17 VP (match 124923) PBN↑ top

Open room
NSS.Newell – C.Dima EWS.Lang – L.Chemaly
Closed room
NSC.Stanton – D.Keet EWM.Moloney – M.Rudzinski
BdOpen room
NSS.Newell – C.Dima EWS.Lang – L.Chemaly
Closed room
NSC.Stanton – D.Keet EWM.Moloney – M.Rudzinski
IMPs
ContractByLeadResNSEWButlerContractByLeadResNSEWButlerIRELANDSOUTH AFRICA
2♥E♠J=1101.9PassN—001.03
1♥S♠10+11100.61NTE♥5=904.55
3NTE♥7+26606.53♣W♦4+11304.911
3♠E♥5-1501.54♣S♠3-1501.13
3NTN♠5+14300.23NTN♠5+14300.2
3NTE♦J-33003.14♠W♣7-22000.33
3NTS♥4+24604.93NTS♥4-1506.511
4♠E♠8+24800.44♠E♦K+24800.4
3♠S♣5+11703.52♥N♣7+21703.5
3NTE♦4+34900.24♠E♦2+24800.2
ΣButler / IMPsNS+4.8NS-2.82214
BdContByResNSEWButlerIMP
🇮🇪🇿🇦
2♥E=1101.93
PassN001.0
1♥S+11100.65
1NTE=904.5
3NTE+26606.511
3♣W+11304.9
3♠E-1501.53
4♣S-1501.1
3NTN+14300.2
3NTN+14300.2
3NTE-33003.13
4♠W-22000.3
3NTS+24604.911
3NTS-1506.5
4♠E+24800.4
4♠E+24800.4
3♠S+11703.5
2♥N+21703.5
3NTE+34900.2
4♠E+24800.2
ΣButler OpenNS+4.82214
Butler ClosedNS-2.8
Player Butler in this match
PlayerBdsTotalAvg
🇮🇪 S.Newell10+4.8+0.48
🇮🇪 C.Dima10+4.8+0.48
🇮🇪 M.Moloney10+2.8+0.28
🇮🇪 M.Rudzinski10+2.8+0.28
🇿🇦 C.Stanton10-2.8-0.28
🇿🇦 D.Keet10-2.8-0.28
🇿🇦 S.Lang10-4.8-0.48
🇿🇦 L.Chemaly10-4.8-0.48

🇩🇪 GERMANY vs 🇳🇿 NEW ZEALAND 10.39 : 9.61 VP (match 124924) PBN↑ top

Open room
NSS.Auken – R.Welland EWJ.Atkinson – P.Carter
Closed room
NSE.Fisher – B.Fisher EWA.Gladiator – M.Gromoeller
BdOpen room
NSS.Auken – R.Welland EWJ.Atkinson – P.Carter
Closed room
NSE.Fisher – B.Fisher EWA.Gladiator – M.Gromoeller
IMPs
ContractByLeadResNSEWButlerContractByLeadResNSEWButlerGERMANYNEW ZEALAND
2♥E♥3-21003.62♥E♣3=1101.95
2♥N♥3+11401.73♥N♣A-1503.55
2NTW♥4=1205.02♠E♠3+11404.51
3♠E♣J-21003.04♣S♠7-1501.14
3NTN♠4+14300.25♣N♠Q+14200.2
1NTE♦J-11002.34♠W♣4-33003.15
3NTS♥2-1506.53NTN♠10+24604.911
4♠E♠3+24800.44♠E♠3+24800.4
4♠S♥7-11002.83♣E♥5+11303.51
4♠W♦5+14500.94♠W♥3+24800.21
ΣButler / IMPsNS+2.4NS+2.11716
BdContByResNSEWButlerIMP
🇩🇪🇳🇿
2♥E-21003.65
2♥E=1101.9
2♥N+11401.75
3♥N-1503.5
2NTW=1205.01
2♠E+11404.5
3♠E-21003.04
4♣S-1501.1
3NTN+14300.2
5♣N+14200.2
1NTE-11002.35
4♠W-33003.1
3NTS-1506.511
3NTN+24604.9
4♠E+24800.4
4♠E+24800.4
4♠S-11002.81
3♣E+11303.5
4♠W+14500.91
4♠W+24800.2
ΣButler OpenNS+2.41716
Butler ClosedNS+2.1
Player Butler in this match
PlayerBdsTotalAvg
🇩🇪 S.Auken10+2.4+0.24
🇩🇪 R.Welland10+2.4+0.24
🇳🇿 E.Fisher10+2.1+0.21
🇳🇿 B.Fisher10+2.1+0.21
🇩🇪 A.Gladiator10-2.1-0.21
🇩🇪 M.Gromoeller10-2.1-0.21
🇳🇿 J.Atkinson10-2.4-0.24
🇳🇿 P.Carter10-2.4-0.24

🇦🇺 AUSTRALIA vs 🇨🇭 SWITZERLAND 13.14 : 6.86 VP (match 124925) PBN↑ top

Open room
NSD.Beauchamp – J.Tutty EWA.Meyerson – E.Meyerson
Closed room
NSS.Magnusson – L.Duc EWW.Lazer – P.Gumby
BdOpen room
NSD.Beauchamp – J.Tutty EWA.Meyerson – E.Meyerson
Closed room
NSS.Magnusson – L.Duc EWW.Lazer – P.Gumby
IMPs
ContractByLeadResNSEWButlerContractByLeadResNSEWButlerAUSTRALIASWITZERLAND
PassN—001.02♥E♠J=1101.93
2♥S♣K=1100.62♥N♥3+21702.62
3NTW♥4+26606.53NTW♥5+26606.5
3♠E♣J-1501.52♠E♣J=1102.54
3NTN♠5+24601.33NTN♠5=4000.82
4♠W♣8-22000.32♠W♣4-11002.33
3NTS♥4+24604.93NTS♥4+24604.9
4♠E♠8+24800.44♠E♦K+24800.4
3♠S♦3=1402.63♠S♣J+11703.51
4♠E♦2+24800.24♠W♥3+24800.2
ΣButler / IMPsNS+5.1NS-3.6123
BdContByResNSEWButlerIMP
🇦🇺🇨🇭
PassN001.03
2♥E=1101.9
2♥S=1100.62
2♥N+21702.6
3NTW+26606.5
3NTW+26606.5
3♠E-1501.54
2♠E=1102.5
3NTN+24601.32
3NTN=4000.8
4♠W-22000.33
2♠W-11002.3
3NTS+24604.9
3NTS+24604.9
4♠E+24800.4
4♠E+24800.4
3♠S=1402.61
3♠S+11703.5
4♠E+24800.2
4♠W+24800.2
ΣButler OpenNS+5.1123
Butler ClosedNS-3.6
Player Butler in this match
PlayerBdsTotalAvg
🇦🇺 D.Beauchamp10+5.1+0.51
🇦🇺 J.Tutty10+5.1+0.51
🇦🇺 W.Lazer10+3.6+0.36
🇦🇺 P.Gumby10+3.6+0.36
🇨🇭 S.Magnusson10-3.6-0.36
🇨🇭 L.Duc10-3.6-0.36
🇨🇭 A.Meyerson10-5.1-0.51
🇨🇭 E.Meyerson10-5.1-0.51

🇦🇷 ARGENTINA vs 🇳🇴 NORWAY 15.05 : 4.95 VP (match 124926) PBN↑ top

Open room
NSC.Pellegrini – S.Rocca EWR.Sivertsvik – K.Bogo
Closed room
NSS.Evenstad – E.Sjodal EWP.Pejacsevich – M.Mayorga
BdOpen room
NSC.Pellegrini – S.Rocca EWR.Sivertsvik – K.Bogo
Closed room
NSS.Evenstad – E.Sjodal EWP.Pejacsevich – M.Mayorga
IMPs
ContractByLeadResNSEWButlerContractByLeadResNSEWButlerARGENTINANORWAY
2♥E♠10=1101.92♥E♠J=1101.9
2♥S♣K=1100.62♥N♠2+11401.71
3NTE♥9+26606.53♣W♠K+21504.411
3♠E♣J+11704.44♣S♠7=1303.67
3NTN♠Q=4000.83NTN♠5+14300.21
4♠W♣6-33003.13NTE♠6=60013.014
3NTN♠10+24604.93NTS♥4-1506.511
4♠E♠3+24800.44♠E♦K+24800.4
3NTE♠Q-11001.73NTE♠Q=60010.912
4♠E♠3+24800.24♠E♥Q+14500.91
ΣButler / IMPsNS-3.9NS-21.93721
BdContByResNSEWButlerIMP
🇦🇷🇳🇴
2♥E=1101.9
2♥E=1101.9
2♥S=1100.61
2♥N+11401.7
3NTE+26606.511
3♣W+21504.4
3♠E+11704.47
4♣S=1303.6
3NTN=4000.81
3NTN+14300.2
4♠W-33003.114
3NTE=60013.0
3NTN+24604.911
3NTS-1506.5
4♠E+24800.4
4♠E+24800.4
3NTE-11001.712
3NTE=60010.9
4♠E+24800.21
4♠E+14500.9
ΣButler OpenNS-3.93721
Butler ClosedNS-21.9
Player Butler in this match
PlayerBdsTotalAvg
🇦🇷 P.Pejacsevich10+21.9+2.19
🇦🇷 M.Mayorga10+21.9+2.19
🇳🇴 R.Sivertsvik10+3.9+0.39
🇳🇴 K.Bogo10+3.9+0.39
🇦🇷 C.Pellegrini10-3.9-0.39
🇦🇷 S.Rocca10-3.9-0.39
🇳🇴 S.Evenstad10-21.9-2.19
🇳🇴 E.Sjodal10-21.9-2.19

🏴󠁧󠁢󠁥󠁮󠁧󠁿 ENGLAND vs 🇫🇷 FRANCE 13.72 : 6.28 VP (match 124927) PBN↑ top

Open room
NSS.Tommasini – M.Gold EWL.Thuillez – V.Reess
Closed room
NSP.Schmidt – J.Zochowska EWG.Osborne – F.Hinden
BdOpen room
NSS.Tommasini – M.Gold EWL.Thuillez – V.Reess
Closed room
NSP.Schmidt – J.Zochowska EWG.Osborne – F.Hinden
IMPs
ContractByLeadResNSEWButlerContractByLeadResNSEWButlerENGLANDFRANCE
2♥E♥J-21003.62♥E♠J=1101.95
1♥S♣K+11100.61♥S♠10+11100.6
3♦E♥7=1105.22♥N♣K-22003.23
3♠E♣J-1501.53♠E♣J=1403.55
3NTN♠Q+24601.33NTN♠4=4000.82
4♠W♣2-22000.34♠E♦J-33003.13
3NTS♥4+24604.93NTS♥2+24604.9
4♠E♠8+24800.44♠E♦K+24800.4
3NTE♠Q-11001.73NTE♠Q-11001.7
4♠E♠3+24800.24♠E♠6+14500.91
ΣButler / IMPsNS+18.5NS+7.8154
BdContByResNSEWButlerIMP
🏴󠁧󠁢󠁥󠁮󠁧󠁿🇫🇷
2♥E-21003.65
2♥E=1101.9
1♥S+11100.6
1♥S+11100.6
3♦E=1105.23
2♥N-22003.2
3♠E-1501.55
3♠E=1403.5
3NTN+24601.32
3NTN=4000.8
4♠W-22000.33
4♠E-33003.1
3NTS+24604.9
3NTS+24604.9
4♠E+24800.4
4♠E+24800.4
3NTE-11001.7
3NTE-11001.7
4♠E+24800.21
4♠E+14500.9
ΣButler OpenNS+18.5154
Butler ClosedNS+7.8
Player Butler in this match
PlayerBdsTotalAvg
🏴󠁧󠁢󠁥󠁮󠁧󠁿 S.Tommasini10+18.5+1.85
🏴󠁧󠁢󠁥󠁮󠁧󠁿 M.Gold10+18.5+1.85
🇫🇷 P.Schmidt10+7.8+0.78
🇫🇷 J.Zochowska10+7.8+0.78
🏴󠁧󠁢󠁥󠁮󠁧󠁿 G.Osborne10-7.8-0.78
🏴󠁧󠁢󠁥󠁮󠁧󠁿 F.Hinden10-7.8-0.78
🇫🇷 L.Thuillez10-18.5-1.85
🇫🇷 V.Reess10-18.5-1.85

🇨🇦 CANADA vs 🇮🇹 ITALY 8.86 : 11.14 VP (match 124928) PBN↑ top

Open room
NSM.Fourcaudot – S.Blank EWG.Manara – D.Attanasio
Closed room
NSA.Gandoglia – I.Baroni EWM.Gamble – K.Fung
BdOpen room
NSM.Fourcaudot – S.Blank EWG.Manara – D.Attanasio
Closed room
NSA.Gandoglia – I.Baroni EWM.Gamble – K.Fung
IMPs
ContractByLeadResNSEWButlerContractByLeadResNSEWButlerCANADAITALY
2♠E♠10=1101.9PassN—001.03
2♥N♦4=1100.61NTN♣3-1503.54
3NTW♥5+26606.52♥N♦7-22003.210
4♠E♣10-21003.03♠E♣J=1403.56
3NTN♠Q=4000.83NTN♥4+14300.21
4♠W♣4-33003.14♠W♣4-22000.33
3NTS♥2+24604.93NTS♥4-1506.511
4♠E♥4+24800.44♠E♦K+24800.4
3♣E♠Q+11303.54♠S♣J=62011.413
4♠E♠6+24800.24♠E♦2+24800.2
ΣButler / IMPsNS-1.7NS+2.02427
BdContByResNSEWButlerIMP
🇨🇦🇮🇹
2♠E=1101.93
PassN001.0
2♥N=1100.64
1NTN-1503.5
3NTW+26606.510
2♥N-22003.2
4♠E-21003.06
3♠E=1403.5
3NTN=4000.81
3NTN+14300.2
4♠W-33003.13
4♠W-22000.3
3NTS+24604.911
3NTS-1506.5
4♠E+24800.4
4♠E+24800.4
3♣E+11303.513
4♠S=62011.4
4♠E+24800.2
4♠E+24800.2
ΣButler OpenNS-1.72427
Butler ClosedNS+2.0
Player Butler in this match
PlayerBdsTotalAvg
🇮🇹 A.Gandoglia10+2.0+0.20
🇮🇹 I.Baroni10+2.0+0.20
🇮🇹 G.Manara10+1.7+0.17
🇮🇹 D.Attanasio10+1.7+0.17
🇨🇦 M.Fourcaudot10-1.7-0.17
🇨🇦 S.Blank10-1.7-0.17
🇨🇦 M.Gamble10-2.0-0.20
🇨🇦 K.Fung10-2.0-0.20

🇭🇰 HONG KONG CHINA vs 🇸🇪 SWEDEN 2.84 : 17.16 VP (match 124929) PBN↑ top

Open room
NSS.Gui – W.Wang EWK.Asplund – S.Asplund Sivelind
Closed room
NSF.Jarlvik – T.Trendafilova EWK.Mak – T.Tang
BdOpen room
NSS.Gui – W.Wang EWK.Asplund – S.Asplund Sivelind
Closed room
NSF.Jarlvik – T.Trendafilova EWK.Mak – T.Tang
IMPs
ContractByLeadResNSEWButlerContractByLeadResNSEWButlerHONG KONG CHINASWEDEN
PassN—001.01NTE♦6-1502.32
2♥S♥6=1100.61♥S♣K+11100.6
3NTW♥5+26606.53NTW♥4+26606.5
2♠E♣J=1102.54♣N♥10=1303.66
3NTN♠Q=4000.83NTN♠6+14300.21
4♠W♣9-11002.34♠W♣4-33003.15
3NTS♥2-1506.53NTS♥4+24604.911
4♥E♦K-525012.04♠E♠3+24800.412
3NTE♠Q=60010.93♦S♦3+11302.512
4♠E♦2+24800.24♠W♣2+14500.91
ΣButler / IMPsNS-16.1NS+11.21238
BdContByResNSEWButlerIMP
🇭🇰🇸🇪
PassN001.02
1NTE-1502.3
2♥S=1100.6
1♥S+11100.6
3NTW+26606.5
3NTW+26606.5
2♠E=1102.56
4♣N=1303.6
3NTN=4000.81
3NTN+14300.2
4♠W-11002.35
4♠W-33003.1
3NTS-1506.511
3NTS+24604.9
4♥E-525012.012
4♠E+24800.4
3NTE=60010.912
3♦S+11302.5
4♠E+24800.21
4♠W+14500.9
ΣButler OpenNS-16.11238
Butler ClosedNS+11.2
Player Butler in this match
PlayerBdsTotalAvg
🇸🇪 K.Asplund10+16.1+1.61
🇸🇪 S.Asplund Sivelind10+16.1+1.61
🇸🇪 F.Jarlvik10+11.2+1.12
🇸🇪 T.Trendafilova10+11.2+1.12
🇭🇰 K.Mak10-11.2-1.12
🇭🇰 T.Tang10-11.2-1.12
🇭🇰 S.Gui10-16.1-1.61
🇭🇰 W.Wang10-16.1-1.61

🇺🇸 U.S.A. vs 🇧🇷 BRAZIL 15.75 : 4.25 VP (match 124930) PBN↑ top

Open room
NSG.Hampson – J.Seamon-Molson EWB.Furlan – L.Menezes
Closed room
NSA.Vidigal – R.Dias EWS.Zhang – E.Wold
BdOpen room
NSG.Hampson – J.Seamon-Molson EWB.Furlan – L.Menezes
Closed room
NSA.Vidigal – R.Dias EWS.Zhang – E.Wold
IMPs
ContractByLeadResNSEWButlerContractByLeadResNSEWButlerU.S.A.BRAZIL
1♠N♥4=803.12♥E♠J+11402.96
1♥S♣K+11100.61♥S♠10+11100.6
2♠E♥7+11404.52NTE♥7=1205.01
3♠E♠A-1501.53♠E♣J-21003.02
3NTN♠5=4000.83NTN♠5+14300.21
4♠W♣7-33003.13NTE♦J-11002.35
3NTS♥4+24604.93NTS♥4-1506.511
4♠E♥4+24800.44♠E♦K+24800.4
2♠S♣J+21703.53♠S♥7=1402.61
4♠E♠6+24800.24♠E♦2+24800.2
ΣButler / IMPsNS+19.8NS-0.9234
BdContByResNSEWButlerIMP
🇺🇸🇧🇷
1♠N=803.16
2♥E+11402.9
1♥S+11100.6
1♥S+11100.6
2♠E+11404.51
2NTE=1205.0
3♠E-1501.52
3♠E-21003.0
3NTN=4000.81
3NTN+14300.2
4♠W-33003.15
3NTE-11002.3
3NTS+24604.911
3NTS-1506.5
4♠E+24800.4
4♠E+24800.4
2♠S+21703.51
3♠S=1402.6
4♠E+24800.2
4♠E+24800.2
ΣButler OpenNS+19.8234
Butler ClosedNS-0.9
Player Butler in this match
PlayerBdsTotalAvg
🇺🇸 G.Hampson10+19.8+1.98
🇺🇸 J.Seamon-Molson10+19.8+1.98
🇺🇸 S.Zhang10+0.9+0.09
🇺🇸 E.Wold10+0.9+0.09
🇧🇷 A.Vidigal10-0.9-0.09
🇧🇷 R.Dias10-0.9-0.09
🇧🇷 B.Furlan10-19.8-1.98
🇧🇷 L.Menezes10-19.8-1.98

🇹🇷 TURKIYE vs 🇨🇴 COLOMBIA 11.5 : 8.5 VP (match 124931) PBN↑ top

Open room
NSH.Ozgur – S.Kolata EWJ.Barrera – J.Ochoa
Closed room
NSC.Hoyos – D.Bernal EWT.Ozbay – C.Eryanik
BdOpen room
NSH.Ozgur – S.Kolata EWJ.Barrera – J.Ochoa
Closed room
NSC.Hoyos – D.Bernal EWT.Ozbay – C.Eryanik
IMPs
ContractByLeadResNSEWButlerContractByLeadResNSEWButlerTURKIYECOLOMBIA
2♠N♥4-22004.41NTS♣2=903.57
2♥N♥3=1100.6PassN—002.33
3♣W♠K-11009.01NTW♣3+31803.57
3♠E♣J-21003.02♠E♣J=1102.55
3NTN♠4=4000.83NTN♠Q+14300.21
3NTE♦J-22000.34♠W♣2-22000.3
3NTS♥Q-1506.53NTS♥4+24604.911
4♠E♠3+24800.44♠E♠3+24800.4
3♠S♥7+22004.34♣W♠A=1303.58
4♠E♠6+24800.24♠E♠3+24800.2
ΣButler / IMPsNS+4.9NS+3.52319
BdContByResNSEWButlerIMP
🇹🇷🇨🇴
2♠N-22004.47
1NTS=903.5
2♥N=1100.63
PassN002.3
3♣W-11009.07
1NTW+31803.5
3♠E-21003.05
2♠E=1102.5
3NTN=4000.81
3NTN+14300.2
3NTE-22000.3
4♠W-22000.3
3NTS-1506.511
3NTS+24604.9
4♠E+24800.4
4♠E+24800.4
3♠S+22004.38
4♣W=1303.5
4♠E+24800.2
4♠E+24800.2
ΣButler OpenNS+4.92319
Butler ClosedNS+3.5
Player Butler in this match
PlayerBdsTotalAvg
🇹🇷 H.Ozgur10+4.9+0.49
🇹🇷 S.Kolata10+4.9+0.49
🇨🇴 C.Hoyos10+3.5+0.35
🇨🇴 D.Bernal10+3.5+0.35
🇹🇷 T.Ozbay10-3.5-0.35
🇹🇷 C.Eryanik10-3.5-0.35
🇨🇴 J.Barrera10-4.9-0.49
🇨🇴 J.Ochoa10-4.9-0.49

🇯🇵 JAPAN vs 🇩🇰 DENMARK 13.14 : 6.86 VP (match 124932) PBN↑ top

Open room
NSK.Furuta – R.Furuta EWK.Martensen-Larsen – F.Poulsen
Closed room
NSF.Danielsen – N.Bekkouche EWA.Miyakuni – K.Miyakuni
BdOpen room
NSK.Furuta – R.Furuta EWK.Martensen-Larsen – F.Poulsen
Closed room
NSF.Danielsen – N.Bekkouche EWA.Miyakuni – K.Miyakuni
IMPs
ContractByLeadResNSEWButlerContractByLeadResNSEWButlerJAPANDENMARK
2♥E♠J+11402.92♥E♥3-21003.66
2♥N♥3=1100.63♥S♣K-1503.54
3NTE♠3+26606.53NTW♥5+16305.91
3♠E♣J-1501.54♠E♥8=4209.310
3NTN♠5+14300.23NTN♠4=4000.81
3NTE♦J-11002.33NTE♥8-22000.33
3NTS♥4+24604.93NTS♣4+34905.41
4♠E♠3+24800.44♠E♦K+24800.4
3NTE♠Q-11001.72NTE♠Q+11504.06
3NTE♣7+45201.23NTE♥2+34900.21
ΣButler / IMPsNS-4.4NS-14.82112
BdContByResNSEWButlerIMP
🇯🇵🇩🇰
2♥E+11402.96
2♥E-21003.6
2♥N=1100.64
3♥S-1503.5
3NTE+26606.51
3NTW+16305.9
3♠E-1501.510
4♠E=4209.3
3NTN+14300.21
3NTN=4000.8
3NTE-11002.33
3NTE-22000.3
3NTS+24604.91
3NTS+34905.4
4♠E+24800.4
4♠E+24800.4
3NTE-11001.76
2NTE+11504.0
3NTE+45201.21
3NTE+34900.2
ΣButler OpenNS-4.42112
Butler ClosedNS-14.8
Player Butler in this match
PlayerBdsTotalAvg
🇯🇵 A.Miyakuni10+14.8+1.48
🇯🇵 K.Miyakuni10+14.8+1.48
🇩🇰 K.Martensen-Larsen10+4.4+0.44
🇩🇰 F.Poulsen10+4.4+0.44
🇯🇵 K.Furuta10-4.4-0.44
🇯🇵 R.Furuta10-4.4-0.44
🇩🇰 F.Danielsen10-14.8-1.48
🇩🇰 N.Bekkouche10-14.8-1.48
♠ K832
♥ Q8
♦ KT73
♣ Q87
♠ A765
♥ A62
♦ 98
♣ T652
21
Dlr N
N-S
♠ Q9
♥ K9754
♦ J52
♣ AJ4
♠ JT4
♥ JT3
♦ AQ64
♣ K93
Makeable tricks
NT♠♥♦♣
N77686
S77686
E66757
W66757
Minimax (par): NS +90: 2♦N= 2♦S=
♠ AK76
♥ QT97
♦ Q7
♣ 764
♠ T94
♥ 62
♦ KJT5
♣ KQT2
22
Dlr E
E-W
♠ Q52
♥ A83
♦ 864
♣ AJ93
♠ J83
♥ KJ54
♦ A932
♣ 85
Makeable tricks
NT♠♥♦♣
N77865
S77865
E66568
W66578
Minimax (par): NS +110: 2♥N= 2♥S=
♠ K
♥ A8654
♦ 654
♣ A763
♠ Q72
♥ K3
♦ KJ3
♣ QT852
23
Dlr S
All
♠ AT95
♥ QT2
♦ A972
♣ K9
♠ J8643
♥ J97
♦ QT8
♣ J4
Makeable tricks
NT♠♥♦♣
N24522
S24522
E11981111
W11981111
Minimax (par): NS -660: 3NTE+2 3NTW+2
♠ Q5
♥ Q976
♦ 62
♣ A6542
♠ KT73
♥ AJ42
♦ 9875
♣ K
24
Dlr W
None
♠ J9864
♥ T3
♦ AJT4
♣ Q3
♠ A2
♥ K85
♦ KQ3
♣ JT987
Makeable tricks
NT♠♥♦♣
N65758
S65859
E68584
W68584
Minimax (par): NS +100: 3♦♠Ex-1 3♦♠Wx-1
♠ AK
♥ 8632
♦ K63
♣ AQT8
♠ T92
♥ JT
♦ T98742
♣ K9
25
Dlr N
E-W
♠ QJ654
♥ AQ74
♦ J5
♣ 32
♠ 873
♥ K95
♦ AQ
♣ J7654
Makeable tricks
NT♠♥♦♣
N11710812
S11710812
E26351
W26351
Minimax (par): NS +920: 6♣N= 6♣S=
♠ 3
♥ 65
♦ A976
♣ 987642
♠ KQ854
♥ J
♦ Q432
♣ KJ3
26
Dlr E
All
♠ T72
♥ K9742
♦ K85
♣ AQ
♠ AJ96
♥ AQT83
♦ JT
♣ T5
Makeable tricks
NT♠♥♦♣
N54758
S55768
E88574
W88574
Minimax (par): NS -120: 2NTE= 2NTW=
♠ A7
♥ KJ9
♦ JT6532
♣ Q9
♠ J84
♥ QT742
♦ A
♣ 8542
27
Dlr S
None
♠ QT965
♥ A6
♦ 984
♣ T73
♠ K32
♥ 853
♦ KQ7
♣ AKJ6
Makeable tricks
NT♠♥♦♣
N11781110
S11781110
E25522
W25522
Minimax (par): NS +460: 3NTN+2 3NTS+2
♠ 6
♥ A9875
♦ JT654
♣ 95
♠ J75
♥ QJT3
♦ 2
♣ Q8742
28
Dlr W
N-S
♠ AKQ942
♥ –
♦ A93
♣ AT63
♠ T83
♥ K642
♦ KQ87
♣ KJ
Makeable tricks
NT♠♥♦♣
N31881
S31881
E8125512
W8125512
Minimax (par): NS -980: 6♠E= 6♠W=
♠ A5
♥ KT9864
♦ AT72
♣ Q
♠ 74
♥ 72
♦ 853
♣ KJT532
29
Dlr N
All
♠ K92
♥ AQJ3
♦ Q9
♣ A987
♠ QJT863
♥ 5
♦ KJ64
♣ 64
Makeable tricks
NT♠♥♦♣
N497103
S49793
E835310
W835310
Minimax (par): NS +130: 4♦N=
♠ K98
♥ 863
♦ T753
♣ J92
♠ QJT52
♥ AT94
♦ AJ
♣ 84
30
Dlr E
None
♠ A74
♥ K5
♦ KQ98
♣ KQ63
♠ 63
♥ QJ72
♦ 642
♣ AT75
Makeable tricks
NT♠♥♦♣
N11213
S11213
E1212111110
W1212101110
Minimax (par): NS -990: 6NTE= 6NTW=