Round 6:1 > All boards       Sat 1 at 10.00 - 11.45
Swedish Open Teams 2019
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Round:<<>>1:11:22:12:23:13:24:14:25:15:26:16:27:17:28:18:29:19:2
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Tbl Team VP  1   2  IMP   VP Rank
 5  Berik 7.05 15   15   74.18  2 
Ebenius Crew 12.95 28   28   65.29  4 
OPEN ROOM IMP Brd IMP CLOSED ROOM
Contract Ld Res Score       Contract Ld Res Score
4♥  E  ♣7 -1 50     6  1    3♥  E  ♣7 +1     170
West
North
East
South
  West
North
East
South
--- Pass 1♥ 1♠ 1 --- Pass 1♥ 1♠
2NT Pass 3♣ Pass 2 2♥ 2♠ Pass Pass
4♥ Pass Pass Pass 3 3♥ Pass Pass Pass
        4        
West North East South   West North East South
♣6 ♣T ♣Q    ♣7 * 1 ♣A ♣8 ♣4    ♣7 *
♥2 ♥3    ♥A * ♥Q 2    ♥2 * ♥3 ♥A ♥Q
♥J ♥5    ♥4 * ♠6 3 ♥J ♥6    ♥4 * ♠6
   ♥7 * ♥6 ♥8 ♠5 4    ♥7 * ♥5 ♥9 ♠5
♠K ♠3    ♠2 * ♠8 5 ♣6 ♣3    ♣Q * ♣9
   ♠7 * ♠J ♠T ♠Q 6 ♣K ♣T    ♣2 * ♣5
♠9 ♠4 ♥9    ♠A * 7    ♦5 * ♦6 ♦7 ♦A
♣K ♣3    ♣2 * ♣5 8 ♠7 ♠3 ♠2    ♠A *
   ♣A * ♣8 ♣4 ♣9 9 ♦8 ♦K ♦3    ♦4 *
   ♦T * ♦J ♦3 ♦2 10        
♦5    ♦6 * ♦7 ♦A 11        
♦8 ♦9 ♦Q    ♦4 * 12        
♥T ♦K    ♥K * ♣J 13        
               
  1 ♠ J43
  North ♥ 653
  None ♦ KJ96
    ♣ T83
  ♠ K97 ♠ T2
  ♥ JT72 ♥ AK984
  ♦ T85 ♦ Q73
  ♣ AK6 ♣ Q42
    ♠ AQ865
    ♥ Q
    ♦ A42
    ♣ J975
  ♣ ♦ ♥ ♠ NT
N-S 6 7 4 8 4
         
E 6 6 9 5 9
w : : : : 8
Par 4♠x by N -2 = -300
Analysis by Bo Haglund's DDS
Double Dummy Solver
OPEN ROOM IMP Brd IMP CLOSED ROOM
Contract Ld Res Score       Contract Ld Res Score
3NT  E  ♥4 +2     460    2  11 4♠  w  ♣6 -2 100    
West
North
East
South
  West
North
East
South
--- --- 2♣ Pass 1 --- --- 1♣ 1♥
2♦ Pass 3NT Pass 2 Pass Pass x Pass
Pass Pass     3 1♠ Pass 2♥ Pass
        4 3♥ Pass 3♠ Pass
        5 4♠ Pass Pass Pass
        6        
West North East South   West North East South
♥3 ♣5 ♥J    ♥4 * 1 ♣3    ♣6 * ♣8 ♣Q
♦4 ♦5    ♦A * ♦2 2 ♣9 ♣T ♣K    ♣A *
♦8 ♦3    ♦K * ♦7 3 ♥3 ♠4 ♥J    ♥2 *
♦T ♦6    ♦Q * ♦9 4 ♣J    ♣5 * ♥Q ♠3
♥6 ♣2    ♦J * ♥2 5 ♥6 ♠6 ♥A    ♥5 *
♠J ♠4    ♠7 * ♠3 6 ♠2    ♣7 * ♦J ♥4
   ♠K * ♠6 ♠T ♠5 7    ♠K * ♠8    
   ♠2 * ♠8 ♠Q ♥5 8        
♥7 ♠9    ♠A * ♥8 9        
♥9 ♣4    ♥A * ♥T 10        
♣3 ♣6    ♥Q * ♥K 11        
        12        
               
  2 ♠ 9864
  East ♥ ---
  N-S ♦ 653
    ♣ T76542
  ♠ KJ2 ♠ AQT7
  ♥ 9763 ♥ AQJ
  ♦ T84 ♦ AKQJ
  ♣ J93 ♣ K8
    ♠ 53
    ♥ KT8542
    ♦ 972
    ♣ AQ
  ♣ ♦ ♥ ♠ NT
N-S 5 2 4 3 2
         
E 8 8 9 8 11
w : 9 : 9 10
Par 5NT by E = -460
Analysis by Bo Haglund's DDS
Double Dummy Solver
OPEN ROOM IMP Brd IMP CLOSED ROOM
Contract Ld Res Score       Contract Ld Res Score
5♠x  S  ♥7 -3     500    3  5 4♠x  S  ♥7 -2     300
West
North
East
South
  West
North
East
South
--- --- --- 4♠ 1 --- --- --- 4♠
Pass Pass x Pass 2 Pass Pass x Pass
5♦ 5♠ x Pass 3 Pass Pass    
Pass Pass     4        
West North East South   West North East South
   ♥7 * ♥A ♥2 ♥4 1    ♥7 * ♥A ♥2 ♥4
♠5    ♠4 * ♠3 ♠K 2 ♠5    ♠4 * ♠3 ♠Q
♦3 ♠6 ♠T    ♠A * 3 ♦3 ♠6 ♠T    ♠A *
♦Q ♦5 ♦8    ♦9 * 4 ♣4 ♣9 ♣K    ♣3 *
   ♦A * ♦J ♦2 ♠7 5 ♦4 ♥3    ♥Q * ♥J
♦4 ♥3 ♥Q    ♥J * 6 ♣5 ♣2    ♣A * ♣6
♣4 ♣2    ♣A * ♣3 7 ♦Q ♦5    ♦8 * ♦9
♣5 ♣7    ♣K * ♣6 8    ♦A * ♦J ♦2 ♠2
        9 ♦6 ♠9 ♥5    ♠K *
        10 ♦7 ♥6 ♥8    ♠J *
        11 ♦T ♣7 ♥T    ♠8 *
        12 ♣T ♣J ♦K    ♠7 *
        13 ♣Q ♥9 ♥K    ♣8 *
               
  3 ♠ 964
  South ♥ A963
  E-W ♦ J5
    ♣ J972
  ♠ 5 ♠ T3
  ♥ 7 ♥ KQT852
  ♦ AQT7643 ♦ K82
  ♣ QT54 ♣ AK
    ♠ AKQJ872
    ♥ J4
    ♦ 9
    ♣ 863
  ♣ ♦ ♥ ♠ NT
N-S 3 2 3 8 3
         
E-W 8 11 9 5 5
         
Par 5♠x by S -3 = -500
Analysis by Bo Haglund's DDS
Double Dummy Solver
OPEN ROOM IMP Brd IMP CLOSED ROOM
Contract Ld Res Score       Contract Ld Res Score
3NT  N  ♣T -1     100    4    3NT  N  ♣2 -1     100
West
North
East
South
  West
North
East
South
Pass 1NT Pass 2♦ 1 Pass 1NT Pass 2♣
Pass 2♠ Pass 2NT 2 Pass 2♠ Pass 3NT
Pass 3NT Pass Pass 3 Pass Pass Pass  
Pass       4        
West North East South   West North East South
♣Q ♣7    ♣T * ♣4 1 ♣J ♣5    ♣2 * ♣4
   ♣J * ♣5 ♣6 ♣K 2    ♣3 * ♣7 ♣6 ♣K
♦2 ♦K ♦4    ♦5 * 3 ♦2 ♦K ♦4    ♦5 *
♦Q    ♦3 * ♥8 ♦J 4 ♦Q    ♦7 * ♥7 ♦J
   ♣3 * ♣A ♣2 ♥5 5    ♣Q * ♣A ♣8 ♥5
♦8    ♦7 * ♥7 ♦A 6 ♦8    ♦3 * ♥8 ♦A
♦9 ♠6 ♠5    ♦T * 7 ♦9 ♠6 ♥J    ♦T *
♥T ♠9 ♥J    ♦6 * 8 ♥4 ♠9 ♠4    ♦6 *
♥4 ♥2 ♥A    ♥K * 9 ♠3 ♠K ♠5    ♠2 *
♠3 ♥3    ♣9 * ♠2 10 ♥T    ♥2 * ♥A ♥Q
        11        ♣T *  
               
  4 ♠ AK96
  West ♥ 932
  All ♦ K73
    ♣ A75
  ♠ JT83 ♠ Q54
  ♥ T4 ♥ AJ87
  ♦ Q982 ♦ 4
  ♣ QJ3 ♣ T9862
    ♠ 72
    ♥ KQ65
    ♦ AJT65
    ♣ K4
  ♣ ♦ ♥ ♠ NT
N-S 7 10 10 9 9
         
E 5 3 3 4 3
w : : : 3 :
Par 4♥ by N = 620
Analysis by Bo Haglund's DDS
Double Dummy Solver
OPEN ROOM IMP Brd IMP CLOSED ROOM
Contract Ld Res Score       Contract Ld Res Score
4♦  w  ♠K  =      130    5    3♦  w  ♠K +1     130
West
North
East
South
  West
North
East
South
--- 1♥ Pass 1♠ 1 --- Pass 1♥ Pass
4♦ Pass Pass Pass 2 2♦ Pass 2NT Pass
        3 3♦ Pass Pass Pass
        4        
West North East South   West North East South
♠4    ♠K * ♠A ♠5 1 ♠3    ♠K * ♠A ♠5
♦Q ♦4    ♦5 * ♦8 2 ♦2 ♦4    ♦K * ♦A
   ♦2 * ♦6 ♦K ♦A 3 ♠4 ♠Q ♠2    ♠6 *
♠3 ♠8 ♠2    ♠6 * 4 ♠9    ♠8 * ♠7 ♠T
♠9    ♠Q * ♠7 ♠J 5 ♦Q ♥2 ♦5    ♠J *
        6    ♦J * ♦6 ♥4 ♦8
        7    ♦T * ♥9 ♥7 ♦9
        8    ♣A *      
               
  5 ♠ KQ8
  North ♥ KJT92
  N-S ♦ 64
    ♣ J76
  ♠ 943 ♠ A72
  ♥ 6 ♥ A874
  ♦ QJT732 ♦ K5
  ♣ AK3 ♣ Q854
    ♠ JT65
    ♥ Q53
    ♦ A98
    ♣ T92
  ♣ ♦ ♥ ♠ NT
N-S 3 2 6 5 2
         
E-W 8 10 6 7 8
         
Par 4♦ by E = -130
Analysis by Bo Haglund's DDS
Double Dummy Solver
OPEN ROOM IMP Brd IMP CLOSED ROOM
Contract Ld Res Score       Contract Ld Res Score
2♠  S  ♦A  =  110        6  1 3♠  S  ♦Q  =  140    
West
North
East
South
  West
North
East
South
--- --- Pass 2♠ 1 --- --- 2♥ 2♠
Pass Pass Pass   2 Pass 2NT Pass 3♠
        3 Pass Pass Pass  
West North East South   West North East South
   ♦A * ♦3 ♦7 ♦4 1    ♦Q * ♦3 ♦7 ♦4
   ♣5 * ♣T ♣K ♣6 2    ♦K * ♦8 ♦5 ♠3
♠4 ♠9    ♠T * ♠J 3 ♣3 ♣T ♣K    ♣Q *
♠6 ♥3 ♠2    ♠A * 4 ♦6 ♦T    ♦2 * ♠5
♠K ♥4 ♥2    ♠Q * 5 ♣5 ♣J ♣9    ♣2 *
   ♣7 * ♣J ♣9 ♣Q 6 ♣7    ♣A * ♣4 ♣6
♠7 ♥9 ♦5    ♠8 * 7 ♦A    ♦J * ♠T ♠J
♦6 ♦8 ♥8    ♠5 * 8 ♠4 ♥3 ♥K    ♥5 *
♣3 ♣A ♣4    ♣2 * 9    ♠6 * ♠9 ♠2 ♠Q
♦9    ♥A * ♥J ♥5 10 ♠7 ♥4 ♥2    ♥6 *
♦Q    ♥T * ♥K ♥6 11    ♦9 * ♥9 ♥8 ♠8
        12 ♠K ♥T ♥J    ♠A *
        13 ♣8 ♥A ♥Q    ♥7 *
               
  6 ♠ 9
  East ♥ AT943
  E-W ♦ JT83
    ♣ AJT
  ♠ K764 ♠ T2
  ♥ --- ♥ KQJ82
  ♦ AKQ96 ♦ 752
  ♣ 8753 ♣ K94
    ♠ AQJ853
    ♥ 765
    ♦ 4
    ♣ Q62
  ♣ ♦ ♥ ♠ NT
N 6 5 8 7 6
S : : : 8 7
E 7 7 5 5 6
w : 8 : : :
Par 2♠ by S = 110
Analysis by Bo Haglund's DDS
Double Dummy Solver
OPEN ROOM IMP Brd IMP CLOSED ROOM
Contract Ld Res Score       Contract Ld Res Score
3♦  N  ♠7 -1     100    7  5 3♦  N  ♠7  =  110    
West
North
East
South
  West
North
East
South
--- --- --- Pass 1 --- --- --- Pass
1♣ 1♦ 1♥ Pass 2 1♠ 2♦ 2♠ Pass
2♠ 3♦ Pass Pass 3 Pass 3♦ Pass Pass
Pass       4 Pass      
West North East South   West North East South
♠A ♠T    ♠7 * ♠2 1 ♠A ♠T    ♠7 * ♠2
   ♣6 * ♣A ♣3 ♣4 2    ♥7 * ♥4 ♥K ♥8
♦A    ♦J * ♦2 ♦3 3 ♣6 ♣A    ♣Q * ♣4
   ♣K * ♣9 ♣Q ♣5 4 ♥3    ♥6 * ♥2 ♥Q
   ♣T * ♣2 ♦4 ♣7 5 ♠4 ♣2 ♠6    ♠K *
♦6 ♦T    ♦8 * ♠3 6 ♦6 ♦K ♦2    ♦3 *
♥7    ♦K * ♦7 ♠J 7 ♦A    ♦J * ♦4 ♣5
♠8    ♦Q * ♠6 ♣8 8    ♥5 * ♥A ♥T ♥9
♥3    ♥6 * ♥K ♥8 9      ♦Q * ♦7 ♣7
        10        
               
  7 ♠ T
  South ♥ A64
  All ♦ KQJT95
    ♣ A92
  ♠ A854 ♠ Q976
  ♥ J753 ♥ KT2
  ♦ A6 ♦ 8742
  ♣ KT6 ♣ Q3
    ♠ KJ32
    ♥ Q98
    ♦ 3
    ♣ J8754
  ♣ ♦ ♥ ♠ NT
N-S 8 8 6 5 8
         
E-W 4 5 7 8 5
         
Par 2NT by S = 120
Analysis by Bo Haglund's DDS
Double Dummy Solver
OPEN ROOM IMP Brd IMP CLOSED ROOM
Contract Ld Res Score       Contract Ld Res Score
3♥  w  ♠A +1     170    8    3♥  w  ♠K +1     170
West
North
East
South
  West
North
East
South
1♥ 1♠ 2♠ Pass 1 1♥ 1♠ 2♥ Pass
3♣ Pass 3♥ Pass 2 Pass 3♣ 3♥ Pass
Pass Pass     3 Pass Pass    
West North East South   West North East South
♠8    ♠A * ♠2 ♠3 1 ♠7    ♠K * ♠2 ♠3
♠7    ♠K * ♠4 ♠J 2 ♠8    ♠A * ♠4 ♠J
♠T    ♠Q * ♠9 ♣8 3 ♠T    ♠Q * ♠9 ♥5
♦Q    ♦4 * ♦A ♦2 4 ♦Q ♦K ♦A    ♦2 *
♥6 ♥4    ♥Q * ♥5 5 ♥A ♥4    ♥2 * ♥T
♣A ♣5    ♣2 * ♣9 6    ♥6 * ♥J ♥Q ♣8
   ♣3 * ♣7 ♥2 ♣T 7 ♣3 ♦4    ♦J * ♦5
♥7 ♦K    ♦3 * ♦7 8 ♥7 ♠6    ♦3 * ♦6
   ♥A * ♥J ♥3 ♥T 9    ♣A * ♣5 ♣2 ♣9
   ♣4 * ♣J ♥9 ♣K 10        
        11        
               
  8 ♠ AKQ65
  West ♥ J4
  None ♦ K4
    ♣ QJ75
  ♠ T87 ♠ 942
  ♥ AK876 ♥ Q932
  ♦ Q ♦ AJ983
  ♣ A643 ♣ 2
    ♠ J3
    ♥ T5
    ♦ T7652
    ♣ KT98
  ♣ ♦ ♥ ♠ NT
N-S 8 5 2 5 5
         
E-W 4 7 10 5 8
         
Par 4♥ by W = -420
Analysis by Bo Haglund's DDS
Double Dummy Solver
OPEN ROOM IMP Brd IMP CLOSED ROOM
Contract Ld Res Score       Contract Ld Res Score
4♥  E  ♦K -1 100     9  9    4♦x  S  ♥5 -2     300
West
North
East
South
  West
North
East
South
--- Pass Pass 3♦ 1 --- Pass Pass 4♦
x Pass 4♥ Pass 2 Pass Pass x Pass
Pass Pass     3 Pass Pass    
West North East South   West North East South
♦A ♦6 ♦7    ♦K * 1    ♥5 * ♥2 ♥A ♥8
   ♥K * ♥6 ♥3 ♥8 2 ♥K ♥6    ♥3 * ♥Q
   ♥J * ♥2 ♥4 ♥Q 3    ♣Q * ♣K ♣A ♣8
♦5 ♦T ♥7    ♦Q * 4 ♣J ♣2    ♣5 * ♣9
♣Q ♣K    ♣4 * ♣8 5    ♥J * ♥T ♥4 ♦2
♥5    ♥T * ♥A ♦4 6 ♦5 ♦6 ♦7    ♦J *
♣3 ♣2    ♣A * ♣9 7 ♦A ♦T ♣4    ♦3 *
♣J ♣T    ♣6 * ♦3 8    ♣3 * ♣T ♣6 ♠6
   ♠4 * ♠Q ♠2 ♠6 9 ♠4    ♠A * ♠3 ♠9
♠8    ♠A * ♠3 ♠9 10      ♠5 * ♠J ♦K
        11        
               
  9 ♠ AQT75
  North ♥ T62
  E-W ♦ T6
    ♣ KT2
  ♠ K84 ♠ J32
  ♥ KJ5 ♥ A9743
  ♦ A85 ♦ 7
  ♣ QJ73 ♣ A654
    ♠ 96
    ♥ Q8
    ♦ KQJ9432
    ♣ 98
  ♣ ♦ ♥ ♠ NT
N-S 2 8 3 5 4
         
E 9 5 9 7 9
w 11 : 10 8 :
Par 5♦x by N -3 = -500
Analysis by Bo Haglund's DDS
Double Dummy Solver
OPEN ROOM IMP Brd IMP CLOSED ROOM
Contract Ld Res Score       Contract Ld Res Score
3NT  N  ♥9 -1     100   10 6 3♣  N  ♥3 +2 150    
West
North
East
South
  West
North
East
South
--- --- Pass 1♠ 1 --- --- Pass 1♠
x 1NT Pass 2♣ 2 Pass 2♣ Pass 2♥
Pass 2♦ Pass 3NT 3 Pass 2♠ Pass 3♣
Pass Pass Pass   4 Pass Pass Pass  
West North East South   West North East South
♥A ♥7    ♥9 * ♥K 1 ♥A ♥7    ♥3 * ♥K
   ♥T * ♠6 ♥3 ♥2 2    ♥T * ♠6 ♥4 ♥Q
   ♥J * ♦4 ♥4 ♥Q 3 ♣4 ♣2 ♣7    ♣K *
♣4 ♣2 ♣3    ♣K * 4 ♥5 ♣8 ♥9    ♥2 *
♦A ♦5 ♦2    ♦K * 5 ♣5    ♣A * ♣3 ♠2
   ♥8 * ♣8     6 ♣6    ♣Q * ♣T ♠4
        7 ♦A    ♦5 * ♦2 ♦K
        8        
               
  10 ♠ 86
  East ♥ 7
  All ♦ QJ54
    ♣ AQJ982
  ♠ KQ53 ♠ J7
  ♥ AJT85 ♥ 943
  ♦ A ♦ 98632
  ♣ 654 ♣ T73
    ♠ AT942
    ♥ KQ62
    ♦ KT7
    ♣ K
  ♣ ♦ ♥ ♠ NT
N 10 9 6 8 8
S : : : : 9
E-W 2 3 7 5 3
         
Par 3NT by S = 600
Analysis by Bo Haglund's DDS
Double Dummy Solver
OPEN ROOM IMP Brd IMP CLOSED ROOM
Contract Ld Res Score       Contract Ld Res Score
4♠  E  ♦4 -1 50       11   4♠  E  ♣3 -1 50    
West
North
East
South
  West
North
East
South
--- --- --- Pass 1 --- --- --- Pass
1♥ Pass 2♥ Pass 2 1♣ Pass 1♦ Pass
2♠ Pass 4♠ Pass 3 1♥ Pass 1♠ Pass
Pass Pass     4 2♠ Pass 4♥ Pass
        5 4♠ Pass Pass Pass
        6        
West North East South   West North East South
♦J    ♦4 * ♦A ♦2 1 ♣9 ♣Q ♣J    ♣3 *
♠K ♠6    ♠9 * ♠2 2 ♣T    ♣A * ♣8 ♣4
   ♠4 * ♠Q ♠3 ♠A 3 ♦J    ♦4 * ♦A ♦6
♣9 ♣Q ♣8    ♣4 * 4 ♠4 ♠Q    ♠7 * ♠2
♣T    ♣A * ♣J ♣3 5 ♠5    ♦K * ♦8 ♦2
        6    ♣K * ♣7 ♠8 ♣5
        7 ♠T ♠6    ♠3 * ♠A
        8 ♥7 ♦T ♦Q    ♦5 *
        9 ♥T ♦3    ♦9 * ♦7
        10 ♠K      ♠9 * ♠J
               
  11 ♠ Q6
  South ♥ 64
  None ♦ KT43
    ♣ AQ762
  ♠ KT54 ♠ 9873
  ♥ AKQT7 ♥ 952
  ♦ J ♦ AQ98
  ♣ KT9 ♣ J8
    ♠ AJ2
    ♥ J83
    ♦ 7652
    ♣ 543
  ♣ ♦ ♥ ♠ NT
N 6 5 4 4 4
S : 6 : : :
E 7 7 9 9 8
w : : : : 9
Par 3NT by W = -400
Analysis by Bo Haglund's DDS
Double Dummy Solver
OPEN ROOM IMP Brd IMP CLOSED ROOM
Contract Ld Res Score       Contract Ld Res Score
4♠  N  ♥4 +1 650       12   4♠  N  ♥4 +1 650    
West
North
East
South
  West
North
East
South
Pass Pass Pass 1♣ 1 Pass 2♠ Pass 2NT
1♥ 1♠ 3♥ 3NT 2 Pass 3♣ Pass 4♠
Pass 4♠ Pass Pass 3 Pass Pass Pass  
Pass       4        
West North East South   West North East South
♥2 ♥7    ♥4 * ♥A 1 ♥K ♥5    ♥4 * ♥Q
♣7 ♣K ♣5    ♣4 * 2    ♥2 * ♥7 ♥J ♥A
♠3    ♠K * ♠T ♠6 3 ♣6 ♣K ♣5    ♣4 *
♠8    ♠2 * ♥3 ♠A 4 ♠3    ♠9 * ♠T ♠A
♣6 ♥5 ♣2    ♣A * 5 ♣7 ♦5 ♣2    ♣A *
♣T ♠4 ♣3    ♣8 * 6 ♠8 ♠K ♣3    ♠6 *
♠Q    ♠5 * ♣J ♦3 7 ♦2    ♦6 * ♦8 ♦Q
   ♦2 * ♦5 ♦8 ♦Q 8        
        9        
               
  12 ♠ KJ97542
  West ♥ 75
  N-S ♦ 965
    ♣ K
  ♠ Q83 ♠ T
  ♥ KT82 ♥ J643
  ♦ J42 ♦ KT8
  ♣ T76 ♣ QJ532
    ♠ A6
    ♥ AQ9
    ♦ AQ73
    ♣ A984
  ♣ ♦ ♥ ♠ NT
N 7 12 7 12 12
S : : 8 13 :
E-W 6 1 4 0 1
         
Par 7♠ by S = 2210
Analysis by Bo Haglund's DDS
Double Dummy Solver
 

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