Opening Reply 3-2

Best Nearly Best Pretty Good Not So Good Here are the best ways to play a roll of    after each of Red's possible opening rolls. The EQUITY column shows the estimated cubeless equity of each potential play. The best play is displayed with a white background and the other plays are displayed with progressively darker backgrounds to give a rough idea of the amount of equity lost. Plays that give up more than 0.05 in cubeless equity are not listed at all.

The VOTES column indicates the recommendations of some selected experts:       D = Joe Dwek, in Backgammon for Profit (1975).       R = Bill Robertie, in Inside Backgammon, Volume 8 (1998).       C = Rene Cerutti, posted to the Internet (1999).       B = Bart Brooks, in Backgammon's Best Openings and Replies (2004). The check marks denote the best play in each of the following situations: Cubeless (CL): Cubeless money play. Double Match Point (DMP): In a match with just one game to go. Gammon-Go (GG): When aggressively going for a gammon win. Gammon-Save (GS): When aggressively avoiding a gammon loss.

After played 24/23, 13/11		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 13/11   + .471, .120, .005   − .529, .143, .006 −.082   RBC (.002)   24/22, 24/21   + .471, .115, .005   − .529, .150, .006 −.095   (.013) (.001) (.013) (.016)   24/22, 13/10   + .468, .121, .005   − .532, .154, .006 −.099   (.017) (.007) (.007) (.029)   13/11, 13/10   + .462, .130, .005   − .538, .159, .009 −.108   (.026) (.019) (.051)   13/8   + .460, .118, .005   − .540, .158, .006 −.122   (.040) (.023) (.028) (.054)
After played 13/11, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 13/11   + .449, .117, .005   − .551, .174, .008 −.162   RD (.010)   24/22, 13/10   + .442, .120, .005   − .558, .174, .008 −.173   (.011) (.014) (.018) (.015)   13/11, 13/10   + .437, .134, .006   − .563, .181, .011 −.178   (.016) (.023) (.039)   24/22, 24/21   + .443, .110, .005   − .557, .173, .007 −.179   B (.017) (.012) (.036) (.011)   13/10, 6/4   + .436, .125, .006   − .564, .187, .012 −.197   (.036) (.026) (.020) (.053)
After played 8/5, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/22, 13/10   + .422, .110, .005   − .578, .186, .008 −.234   RB   24/21, 13/11   + .419, .107, .005   − .581, .186, .009 −.245   DC (.011) (.007) (.012) (.009)   24/22, 24/21   + .420, .103, .005   − .580, .193, .007 −.252   (.018) (.005) (.018) (.020)   13/11, 13/10   + .406, .117, .005   − .594, .194, .012 −.271   (.037) (.032) (.018) (.049)   13/8   + .407, .110, .005   − .593, .196, .009 −.276   (.041) (.031) (.031) (.052)
After played 24/21, 13/11		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/10, 6/4*   + .481, .137, .006   − .519, .163, .011 −.069   B (.022)   24/21, 6/4*   + .477, .125, .005   − .523, .148, .008 −.071   R (.001) (.007) (.031)   6/4*/1*   + .469, .130, .004   − .531, .151, .007 −.086   C (.017) (.024) (.038) (.024)   24/21, 13/11   + .460, .108, .004   − .540, .145, .006 −.118   (.049) (.041) (.098) (.028)
After played 13/11, 13/10		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/11, 13/10   + .462, .140, .007   − .538, .173, .010 −.112   RD (.006) (.011)   24/22, 13/10   + .464, .127, .006   − .536, .169, .007 −.116   B (.004) (.002) (.022)   24/21, 13/11   + .465, .127, .006   − .535, .176, .008 −.120   (.008) (.020) (.011)   24/22, 24/21   + .458, .119, .007   − .542, .180, .007 −.145   (.033) (.014) (.050) (.034)   13/10, 6/4   + .455, .128, .006   − .545, .186, .013 −.154   (.042) (.020) (.037) (.051)   13/11, 8/5   + .451, .132, .006   − .549, .186, .013 −.158   (.046) (.028) (.038) (.058)
After played 24/23, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/22, 13/10   + .465, .126, .005   − .535, .166, .007 −.113   C (.003) (.007)   24/21, 13/11   + .466, .120, .005   − .534, .164, .007 −.113   RB (.001) (.008)   13/11, 13/10   + .457, .130, .005   − .543, .167, .010 −.129   (.016) (.019) (.008) (.027)   13/8   + .453, .120, .005   − .547, .170, .007 −.146   (.033) (.026) (.035) (.038)   24/22, 24/21   + .455, .111, .004   − .545, .168, .006 −.149   (.037) (.023) (.049) (.032)
After played 24/20, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/22, 8/5*   + .464, .128, .006   − .536, .147, .007 −.092   R (.017)   13/11, 8/5*   + .463, .137, .007   − .537, .164, .011 −.105   (.013) (.003) (.037)
After played 13/9, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 13/11   + .443, .116, .005   − .557, .175, .008 −.176   RDB   24/22, 13/10   + .436, .117, .005   − .564, .185, .009 −.198   (.023) (.014) (.011) (.033)   24/22, 24/21   + .435, .106, .005   − .565, .179, .007 −.205   (.030) (.017) (.036) (.025)   13/11, 13/10   + .429, .129, .006   − .571, .186, .011 −.206   (.030) (.030) (.004) (.052)   13/11, 8/5   + .428, .127, .006   − .572, .198, .015 −.223   (.048) (.031) (.009) (.076)
After played 8/4, 6/4		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/22, 13/10   + .436, .113, .005   − .564, .185, .009 −.203   RBC (.005)   13/11, 13/10   + .428, .124, .005   − .572, .187, .012 −.214   D (.011) (.017) (.020)   13/8   + .424, .116, .005   − .576, .192, .009 −.233   (.030) (.025) (.024) (.039)
After played 24/21, 24/20		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/5*, 6/4*   + .494, .143, .005   − .506, .153, .010 −.026   R (.004)   24/21, 6/4*   + .475, .110, .004   − .525, .132, .006 −.074   (.048) (.037) (.104)
After played 24/21, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 6/4*   + .480, .126, .006   − .520, .158, .008 −.076   (.024)   13/10, 6/4*   + .479, .139, .006   − .521, .169, .012 −.079   RBC (.003) (.002) (.022)   6/4*/1*   + .466, .129, .005   − .534, .159, .008 −.102   (.026) (.028) (.045) (.030)
After played 24/20, 13/10		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/11, 8/5*   + .470, .136, .006   − .530, .164, .011 −.092   RB (.003)   24/22, 8/5*   + .463, .123, .005   − .537, .155, .008 −.108   (.016) (.015) (.040)
After played 13/10, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/22, 13/10   + .461, .124, .006   − .539, .178, .008 −.135   RB (.011)   13/11, 13/10   + .453, .137, .007   − .547, .181, .011 −.143   (.008) (.016) (.022)   24/21, 13/11   + .451, .121, .006   − .549, .188, .009 −.167   (.032) (.019) (.034) (.038)   13/11, 8/5   + .449, .132, .006   − .551, .191, .015 −.170   (.035) (.023) (.018) (.050)   13/10, 6/4   + .450, .127, .006   − .550, .194, .014 −.175   D (.039) (.021) (.025) (.053)
After played 24/23, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 13/11   + .468, .115, .004   − .532, .145, .006 −.096   RB (.022)   13/11, 13/10   + .465, .130, .005   − .535, .156, .009 −.100   C (.005) (.006) (.027)   13/8   + .463, .120, .004   − .537, .153, .006 −.110   (.014) (.010) (.024) (.026)   24/22, 13/10   + .464, .116, .004   − .536, .154, .006 −.112   (.016) (.008) (.028) (.026)   24/22, 24/21   + .462, .107, .004   − .538, .152, .005 −.122   (.027) (.012) (.051) (.026)
After played 24/18		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/22, 24/21   + .458, .105, .004   − .542, .128, .005 −.108   (.020)   24/21, 13/11   + .456, .113, .004   − .544, .137, .006 −.114   R (.006) (.004) (.008) (.022)   24/21, 6/4   + .455, .110, .004   − .546, .138, .006 −.122   (.014) (.008) (.018) (.027)   13/8   + .453, .115, .004   − .547, .141, .006 −.122   (.015) (.011) (.011) (.036)   6/1*   + .449, .123, .004   − .551, .145, .007 −.128   (.021) (.019) (.003) (.053)   13/11, 8/5   + .449, .124, .005   − .551, .148, .009 −.130   (.022) (.018) (.058)   24/22, 13/10   + .450, .110, .004   − .550, .137, .006 −.130   (.022) (.018) (.027) (.035)   24/21, 8/6   + .448, .103, .003   − .552, .129, .005 −.131   (.023) (.020) (.043) (.022)   13/10, 6/4   + .449, .118, .004   − .551, .149, .009 −.138   (.031) (.018) (.012) (.061)
After played 13/8, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 13/11   + .453, .113, .005   − .547, .160, .007 −.144   (.020)   24/22, 13/10   + .451, .116, .005   − .549, .161, .007 −.145   (.000) (.003) (.017) (.004)   13/10, 6/4   + .451, .124, .005   − .549, .172, .012 −.152   RDB (.008) (.003) (.026)   13/11, 13/10   + .446, .128, .005   − .554, .167, .010 −.152   (.008) (.015) (.004) (.027)   24/22, 24/21   + .448, .105, .004   − .552, .164, .006 −.166   (.022) (.011) (.046) (.019)   24/21, 6/4   + .445, .113, .005   − .555, .176, .009 −.176   (.032) (.016) (.034) (.047)   13/11, 8/5   + .435, .121, .005   − .565, .177, .012 −.193   (.049) (.035) (.038) (.069)
After played 24/22, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 13/11   + .472, .123, .005   − .528, .153, .007 −.089   (.012)   13/11, 6/3*   + .470, .130, .005   − .530, .163, .010 −.098   B (.009) (.003) (.023)   6/3*/1*   + .465, .128, .004   − .535, .155, .007 −.100   R (.011) (.013) (.015) (.015)   24/22, 6/3*   + .464, .119, .004   − .536, .152, .007 −.108   (.019) (.015) (.035) (.012)   13/11, 13/10   + .459, .129, .005   − .541, .159, .010 −.116   (.027) (.025) (.023) (.036)   13/8   + .460, .116, .004   − .540, .152, .007 −.119   (.030) (.024) (.049) (.021)   24/22, 24/21   + .460, .109, .004   − .540, .151, .005 −.124   (.035) (.024) (.064) (.019)   24/22, 13/10   + .454, .117, .004   − .546, .153, .007 −.131   (.042) (.036) (.059) (.035)
After played 13/8, 6/4		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21*, 13/11   + .544, .160, .009   − .456, .114, .004 +.139   R   24/22, 24/21*   + .540, .144, .007   − .460, .115, .004 +.112   (.027) (.009) (.041) (.011)
After played 13/11, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/11, 13/10   + .473, .143, .006   − .527, .162, .010 −.076   RBC (.004)   24/21, 13/11   + .473, .129, .006   − .527, .160, .007 −.087   D (.011) (.000) (.030)   24/22, 13/10   + .464, .128, .006   − .536, .164, .007 −.110   (.034) (.017) (.049) (.026)   13/10, 6/4   + .465, .131, .005   − .536, .170, .011 −.116   (.040) (.017) (.041) (.038)   13/11, 8/5   + .462, .138, .006   − .538, .174, .012 −.119   (.043) (.022) (.033) (.050)
After played 8/3, 6/3		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 13/11   + .462, .122, .005   − .538, .175, .008 −.132   B (.004)   13/11, 13/10   + .451, .135, .006   − .549, .179, .011 −.147   RC (.016) (.022) (.030)   13/8   + .445, .124, .005   − .555, .183, .009 −.173   (.041) (.034) (.034) (.051)
After played 13/10, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 13/11   + .471, .126, .006   − .529, .168, .008 −.102   (.010)   13/11, 13/10   + .464, .138, .006   − .536, .166, .010 −.103   R (.001) (.013) (.008)   24/22, 13/10   + .463, .124, .005   − .537, .167, .007 −.119   (.017) (.015) (.030) (.013)   13/10, 6/4   + .460, .127, .005   − .540, .178, .012 −.137   D (.035) (.021) (.030) (.040)   13/11, 8/5   + .458, .132, .005   − .542, .179, .012 −.138   (.036) (.026) (.024) (.047)
After played 24/20, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/11, 8/5*   + .472, .136, .005   − .528, .163, .011 −.088   RBC   24/22, 8/5*   + .459, .122, .004   − .541, .154, .007 −.118   (.030) (.026) (.054) (.010)
After played 13/9, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/11, 13/10   + .460, .136, .006   − .540, .171, .011 −.120   RDB (.009) (.009)   24/21, 13/11   + .464, .122, .005   − .536, .171, .008 −.123   (.003) (.019)   13/11, 8/5   + .460, .135, .006   − .540, .180, .013 −.132   (.012) (.009) (.002) (.026)   24/22, 13/10   + .460, .124, .005   − .540, .175, .008 −.132   (.013) (.008) (.024) (.015)   13/10, 6/4   + .457, .128, .005   − .543, .180, .012 −.147   (.027) (.016) (.024) (.033)
After played 13/7, 8/7		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 13/11   + .451, .114, .005   − .549, .163, .007 −.149   DC   24/22, 13/10   + .449, .117, .004   − .551, .163, .007 −.151   B (.002) (.005) (.000) (.005)   24/22, 24/21   + .447, .105, .004   − .553, .169, .006 −.172   (.023) (.008) (.028) (.021)   13/11, 13/10   + .437, .126, .005   − .563, .170, .009 −.173   R (.025) (.028) (.004) (.042)
After played 24/18, 13/11		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 6/4   + .443, .108, .004   − .557, .152, .008 −.162   (.019)   24/22, 24/21   + .441, .099, .004   − .559, .141, .006 −.162   DB (.001) (.004) (.023)   24/21, 13/11   + .438, .107, .004   − .562, .149, .007 −.170   RC (.008) (.011) (.013) (.022)   13/8   + .433, .112, .004   − .567, .154, .007 −.179   (.017) (.019) (.012) (.041)   24/22, 13/10   + .433, .105, .004   − .567, .148, .007 −.179   (.018) (.019) (.026) (.029)   6/1*   + .430, .116, .004   − .570, .152, .008 −.181   (.019) (.026) (.012) (.044)   13/11, 8/5   + .431, .117, .004   − .569, .162, .010 −.190   (.028) (.024) (.007) (.063)   13/10, 6/4   + .433, .112, .004   − .567, .163, .011 −.191   (.029) (.019) (.011) (.059)   24/21, 8/6   + .426, .099, .003   − .574, .142, .006 −.194   (.032) (.034) (.053) (.032)   24/22, 8/5   + .429, .107, .004   − .571, .163, .008 −.202   (.040) (.028) (.031) (.067)   24/22, 6/3   + .425, .104, .004   − .575, .160, .007 −.209   (.047) (.035) (.043) (.068)
After played 24/16		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/22, 24/21   + .454, .106, .004   − .546, .128, .005 −.115   R (.012)   24/21, 13/11   + .451, .115, .004   − .549, .139, .006 −.125   B (.009) (.006) (.029)   13/8   + .442, .112, .004   − .558, .141, .006 −.147   (.032) (.024) (.024) (.050)   24/21, 6/4   + .444, .111, .004   − .556, .145, .007 −.149   (.033) (.019) (.021) (.053)   24/22, 13/10   + .440, .116, .004   − .560, .147, .007 −.154   (.038) (.027) (.020) (.066)   24/21, 8/6   + .436, .105, .004   − .564, .132, .005 −.156   (.040) (.035) (.048) (.043)
After played 13/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/11, 13/10   + .450, .133, .006   − .550, .175, .011 −.146   (.007) (.015)   24/21, 13/11   + .454, .117, .005   − .546, .171, .008 −.150   R (.004) (.000) (.026)   13/10, 6/4   + .454, .129, .005   − .546, .180, .012 −.150   (.004) (.001) (.018)   24/22, 13/10   + .452, .118, .005   − .548, .171, .008 −.151   (.005) (.003) (.027) (.003)   24/22, 24/21   + .447, .107, .004   − .553, .172, .007 −.174   (.028) (.014) (.060) (.015)   24/21, 6/4   + .447, .116, .005   − .553, .187, .009 −.181   (.035) (.014) (.041) (.045)   13/11, 8/5   + .440, .127, .005   − .560, .187, .013 −.188   (.041) (.027) (.033) (.058)
After played 24/18, 13/10		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/22, 24/21   + .437, .103, .004   − .563, .153, .006 −.178   (.003) (.012)   24/21, 13/11   + .436, .108, .004   − .564, .159, .008 −.183   (.005) (.005) (.003) (.015)   24/22, 13/10   + .432, .103, .004   − .568, .149, .006 −.184   RB (.006) (.012) (.022) (.001)   6/1*   + .428, .115, .004   − .572, .155, .008 −.188   D (.010) (.020) (.006) (.023)   24/21, 6/4   + .438, .108, .004   − .562, .169, .009 −.190   (.012) (.031)   13/8   + .430, .109, .004   − .570, .157, .007 −.191   C (.013) (.016) (.013) (.022)   13/10, 6/4   + .432, .112, .004   − .568, .167, .011 −.197   (.020) (.012) (.004) (.038)   13/11, 8/5   + .428, .115, .004   − .572, .169, .011 −.206   (.028) (.021) (.007) (.051)   24/22, 8/5   + .428, .109, .004   − .572, .167, .008 −.206   (.028) (.021) (.018) (.046)   24/22, 6/3   + .424, .106, .004   − .576, .166, .008 −.216   (.038) (.029) (.031) (.053)   24/21, 8/6   + .417, .099, .003   − .583, .155, .006 −.224   (.047) (.042) (.061) (.043)
After played 24/15		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/22, 13/10*   + .519, .143, .005   − .481, .121, .005 +.061   RB (.015)   13/11, 13/10*   + .517, .152, .007   − .483, .132, .007 +.054   (.007) (.005) (.027)   13/10*/8   + .507, .137, .006   − .493, .132, .005 +.021   (.040) (.023) (.049) (.045)
After played 8/2, 6/2		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/11, 13/10   + .479, .144, .006   − .521, .172, .011 −.075   RB   24/22, 13/10   + .478, .132, .006   − .522, .175, .007 −.089   (.014) (.002) (.027) (.008)   24/21, 13/11   + .478, .129, .006   − .522, .174, .008 −.090   (.015) (.001) (.031) (.006)   13/8   + .466, .131, .005   − .534, .173, .009 −.113   (.038) (.026) (.052) (.028)   24/22, 24/21   + .469, .119, .005   − .531, .176, .006 −.120   (.045) (.020) (.071) (.028)
After played 24/18, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 13/11   + .434, .104, .004   − .566, .154, .007 −.185   RB (.008)   6/1*   + .426, .116, .004   − .574, .161, .009 −.198   (.013) (.016) (.031)   24/22, 13/10   + .427, .104, .004   − .573, .159, .007 −.205   (.020) (.016) (.024) (.025)   24/22, 24/21   + .427, .098, .004   − .573, .158, .006 −.207   D (.022) (.014) (.033) (.021)   13/11, 8/5   + .426, .112, .004   − .574, .170, .011 −.212   (.028) (.016) (.008) (.047)   13/8   + .420, .104, .004   − .580, .159, .007 −.218   (.033) (.028) (.036) (.038)   13/10, 6/4   + .425, .108, .004   − .575, .172, .011 −.221   (.036) (.019) (.018) (.054)   24/21, 6/4   + .425, .098, .003   − .575, .164, .008 −.221   (.036) (.018) (.039) (.039)   24/22, 8/5   + .426, .106, .004   − .574, .175, .009 −.222   (.038) (.017) (.021) (.059)
After played 24/14		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 13/11*   + .520, .140, .006   − .480, .118, .005 +.064   RBC (.018)   13/11*, 13/10   + .517, .152, .007   − .483, .132, .007 +.054   (.009) (.007) (.035)   13/11*/8   + .507, .137, .006   − .493, .132, .005 +.021   (.042) (.026) (.049) (.053)
After played 24/13		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 13/11   + .451, .113, .004   − .549, .128, .005 −.114   RDBC (.011)   13/11, 13/10   + .444, .124, .004   − .556, .140, .008 −.131   (.017) (.015) (.003) (.039)   24/22, 13/10   + .444, .111, .004   − .556, .130, .005 −.134   (.019) (.015) (.031) (.019)   13/11, 8/5   + .445, .125, .004   − .555, .152, .009 −.143   (.029) (.013) (.062)   13/10, 6/4   + .439, .117, .004   − .561, .151, .009 −.163   (.048) (.025) (.028) (.072)   24/22, 24/21   + .434, .092, .003   − .566, .123, .005 −.164   (.049) (.034) (.086) (.024)

Summary

Opening Play   Reply 24/21, 13/11 24/22, 13/10 13/11, 13/10 24/22, 24/21 24/21, 6/4 13/11, 8/5 13/10, 6/4 24/22, 8/5 8/5, 6/4   24/23, 13/11                   13/11, 6/5                   8/5, 6/5                   24/21, 13/11         *4   *4       13/11, 13/10                   24/23, 13/9                 24/20, 6/5               *5     13/9, 6/5                   8/4, 6/4                   24/21, 24/20                 *5, 4   24/21, 13/9         *4   *4       24/20, 13/10           *5         13/10, 13/9                   24/23, 13/8                   24/18                   13/8, 6/5                 24/22, 13/8                   13/8, 6/4 *21                   13/11, 13/8                   8/3, 6/3                   13/10, 13/8                 24/20, 13/8           *5         13/9, 13/8                   13/7, 8/7                 24/18, 13/11                 24/16                   13/5                   24/18, 13/10                   24/15   *10                 8/2, 6/2                   24/18, 13/9                   24/14 *11                   24/13                   24/21, 13/11 24/22, 13/10 13/11, 13/10 24/22, 24/21 24/21, 6/4 13/11, 8/5 13/10, 6/4 24/22, 8/5 8/5, 6/4

 

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