$\{s12, s13, s14, s15, s23, s24, s25, s34, s35, s45\}$ & 1 & no  & 18 \\
$\{s12, s13, s14, s23, s24, s25, s34, s35, s45, s56\}$ & 1 & no  & 18 \\
$\{s12, s13, s14, s23, s24, s26, s34, s35, s45, s56\}$ & 1 & no  & 18 \\
$\{s12, s13, s14, s16, s23, s24, s26, s34, s35, s45\}$ & 1 & no  & 18 \\
$\{s12, s13, s14, s17, s23, s24, s26, s34, s35, s45\}$ & 1 & no  & 18 \\
$\{s12, s13, s14, s18, s23, s24, s27, s34, s36, s45\}$ & 1 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s35, s45, s46, s56\}$ & 1 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s35, s45, s47, s56\}$ & 1 & no  & 18 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s46, s56\}$ & 1 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s47, s56\}$ & 1 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s46\}$ & 1 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s47\}$ & 1 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s28, s34, s37, s45, s46\}$ & 1 & no  & 18 \\
$\{s12, s14, s23, s25, s34, s36, s45, s47, s56, s57\}$ & 1 & no  & 18 \\
$\{s12, s14, s23, s25, s34, s36, s45, s48, s56, s57\}$ & 1 & no  & 18 \\
$\{s12, s13, s14, s15, s23, s24, s25, s34, s35, s45, s67\}$ & 1 & no  & 17 \\
$\{s12, s13, s14, s23, s24, s25, s34, s35, s45, s56, s67\}$ & 1 & no  & 17 \\
$\{s12, s13, s14, s17, s23, s24, s25, s34, s35, s45, s56\}$ & 1 & no  & 17 \\
$\{s12, s13, s14, s23, s24, s25, s34, s35, s45, s58, s67\}$ & 1 & no  & 17 \\
$\{s12, s13, s14, s23, s24, s26, s34, s35, s45, s56, s67\}$ & 1 & no  & 17 \\
$\{s12, s13, s14, s23, s24, s26, s34, s35, s45, s56, s57\}$ & 1 & no  & 17 \\
$\{s12, s13, s14, s17, s23, s24, s26, s34, s35, s45, s56\}$ & 1 & no  & 17 \\
$\{s12, s13, s14, s23, s24, s26, s34, s35, s45, s56, s78\}$ & 1 & no  & 17 \\
$\{s12, s13, s14, s16, s23, s24, s26, s34, s35, s45, s67\}$ & 1 & no  & 17 \\
$\{s12, s13, s14, s16, s23, s24, s26, s34, s35, s45, s78\}$ & 1 & no  & 17 \\
$\{s12, s13, s14, s17, s23, s24, s26, s34, s35, s45, s67\}$ & 1 & no  & 17 \\
$\{s12, s13, s14, s18, s23, s24, s26, s34, s35, s45, s67\}$ & 1 & no  & 17 \\
$\{s12, s13, s14, s17, s23, s24, s26, s34, s35, s45, s58\}$ & 1 & no  & 17 \\
$\{s12, s13, s14, s18, s23, s24, s27, s34, s36, s45, s56\}$ & 1 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s35, s45, s46, s56, s67\}$ & 1 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s27, s34, s35, s45, s46, s56\}$ & 1 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s35, s45, s46, s56, s78\}$ & 1 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s35, s45, s47, s56, s67\}$ & 1 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s35, s45, s47, s56, s78\}$ & 1 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s27, s34, s35, s45, s48, s56\}$ & 1 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s46, s56, s67\}$ & 1 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s46, s56, s57\}$ & 1 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s46, s56, s78\}$ & 1 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s37, s45, s46, s56, s57\}$ & 1 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s28, s34, s37, s45, s46, s56\}$ & 1 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s47, s56, s67\}$ & 1 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s47, s56, s78\}$ & 1 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s47, s56, s68\}$ & 1 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s47, s56, s58\}$ & 1 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s28, s34, s36, s45, s47, s56\}$ & 1 & no  & 17 \\
$\{s12, s13, s15, s18, s23, s24, s34, s36, s45, s47, s56\}$ & 1 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s46, s67\}$ & 1 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s46, s57\}$ & 1 & no  & 17 \\
$\{s12, s13, s15, s17, s23, s24, s27, s34, s36, s45, s46\}$ & 1 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s46, s78\}$ & 1 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s46, s68\}$ & 1 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s46, s58\}$ & 1 & no  & 17 \\
$\{s12, s13, s15, s17, s23, s24, s28, s34, s36, s45, s46\}$ & 1 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s47, s67\}$ & 1 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s47, s57\}$ & 1 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s47, s78\}$ & 1 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s47, s68\}$ & 1 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s47, s58\}$ & 1 & no  & 17 \\
$\{s12, s13, s15, s18, s23, s24, s26, s34, s36, s45, s47\}$ & 1 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s28, s34, s37, s45, s46, s67\}$ & 1 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s48, s67\}$ & 1 & no  & 17 \\
$\{s12, s14, s23, s25, s34, s36, s45, s48, s56, s57, s67\}$ & 1 & no  & 17 \\
$\{s12, s14, s23, s25, s34, s36, s45, s47, s56, s58, s67\}$ & 1 & no  & 17 \\
$\{s12, s14, s23, s25, s34, s36, s45, s47, s56, s57, s78\}$ & 1 & no  & 17 \\
$\{s12, s14, s23, s25, s34, s36, s45, s47, s56, s57, s68\}$ & 1 & no  & 17 \\
$\{s12, s14, s23, s25, s34, s36, s38, s45, s47, s56, s57\}$ & 1 & no  & 17 \\
$\{s12, s14, s23, s25, s34, s38, s45, s46, s57, s58, s67\}$ & 1 & no  & 17 \\
$\{s12, s13, s14, s17, s23, s24, s25, s34, s35, s45, s56, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s14, s23, s24, s25, s34, s35, s45, s56, s67, s78\}$ & 1 & no  & 16 \\
$\{s12, s13, s14, s23, s24, s25, s34, s35, s45, s56, s67, s68\}$ & 1 & no  & 16 \\
$\{s12, s13, s14, s18, s23, s24, s25, s34, s35, s45, s56, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s14, s23, s24, s26, s34, s35, s45, s56, s57, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s14, s17, s23, s24, s26, s34, s35, s45, s56, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s14, s17, s23, s24, s26, s34, s35, s45, s56, s57\}$ & 1 & no  & 16 \\
$\{s12, s13, s14, s23, s24, s26, s34, s35, s45, s56, s67, s78\}$ & 1 & no  & 16 \\
$\{s12, s13, s14, s23, s24, s26, s34, s35, s45, s56, s67, s68\}$ & 1 & no  & 16 \\
$\{s12, s13, s14, s23, s24, s26, s34, s35, s45, s56, s57, s78\}$ & 1 & no  & 16 \\
$\{s12, s13, s14, s23, s24, s26, s34, s35, s45, s56, s57, s68\}$ & 1 & no  & 16 \\
$\{s12, s13, s14, s18, s23, s24, s26, s34, s35, s45, s56, s57\}$ & 1 & no  & 16 \\
$\{s12, s13, s14, s17, s23, s24, s26, s34, s35, s45, s56, s78\}$ & 1 & no  & 16 \\
$\{s12, s13, s14, s17, s23, s24, s26, s34, s35, s45, s56, s68\}$ & 1 & no  & 16 \\
$\{s12, s13, s14, s16, s23, s24, s26, s34, s35, s45, s57, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s14, s16, s23, s24, s26, s34, s35, s45, s67, s78\}$ & 1 & no  & 16 \\
$\{s12, s13, s14, s16, s23, s24, s26, s34, s35, s45, s67, s68\}$ & 1 & no  & 16 \\
$\{s12, s13, s14, s16, s23, s24, s26, s34, s35, s45, s58, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s14, s18, s23, s24, s26, s34, s35, s45, s57, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s14, s17, s23, s24, s26, s34, s35, s45, s67, s78\}$ & 1 & no  & 16 \\
$\{s12, s13, s14, s17, s23, s24, s26, s34, s35, s45, s58, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s14, s18, s23, s24, s27, s34, s36, s45, s56, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s14, s18, s23, s24, s27, s34, s36, s45, s56, s78\}$ & 1 & no  & 16 \\
$\{s12, s13, s14, s18, s23, s24, s28, s34, s36, s45, s57, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s27, s34, s35, s45, s46, s56, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s17, s23, s24, s27, s34, s35, s45, s46, s56\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s35, s45, s46, s56, s67, s78\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s35, s45, s46, s56, s67, s68\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s27, s34, s35, s45, s46, s56, s78\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s27, s34, s35, s45, s46, s56, s68\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s18, s23, s24, s27, s34, s35, s45, s46, s56\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s35, s45, s47, s56, s67, s78\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s28, s34, s35, s45, s47, s56, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s27, s34, s35, s45, s48, s56, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s35, s45, s48, s56, s67, s78\}$ & 1 & no  & 16 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s46, s56, s57, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s16, s23, s24, s27, s34, s35, s45, s46, s56, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s16, s17, s23, s24, s34, s35, s45, s46, s56, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s16, s23, s24, s27, s34, s35, s45, s46, s56, s57\}$ & 1 & no  & 16 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s46, s56, s67, s78\}$ & 1 & no  & 16 \\
$\{s12, s13, s16, s18, s23, s24, s34, s35, s45, s46, s56, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s46, s56, s57, s78\}$ & 1 & no  & 16 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s46, s56, s57, s68\}$ & 1 & no  & 16 \\
$\{s12, s13, s16, s23, s24, s28, s34, s35, s45, s46, s56, s57\}$ & 1 & no  & 16 \\
$\{s12, s13, s16, s18, s23, s24, s34, s35, s45, s46, s56, s57\}$ & 1 & no  & 16 \\
$\{s12, s13, s18, s23, s24, s27, s34, s35, s45, s48, s56, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s28, s34, s37, s45, s46, s56, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s37, s45, s46, s56, s57, s78\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s37, s45, s46, s56, s57, s68\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s28, s34, s37, s45, s46, s56, s57\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s18, s23, s24, s34, s37, s45, s46, s56, s57\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s47, s56, s57, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s48, s56, s57, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s47, s56, s67, s78\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s47, s56, s67, s68\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s47, s56, s58, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s28, s34, s36, s45, s47, s56, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s18, s23, s24, s34, s36, s45, s47, s56, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s48, s56, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s48, s56, s57\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s47, s56, s68, s78\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s46, s57, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s28, s34, s36, s45, s46, s57, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s46, s67, s78\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s46, s67, s68\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s17, s23, s24, s28, s34, s36, s45, s46, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s46, s57, s78\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s46, s57, s68\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s46, s57, s58\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s18, s23, s24, s27, s34, s36, s45, s46, s57\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s17, s23, s24, s28, s34, s36, s45, s46, s57\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s17, s23, s24, s27, s34, s36, s45, s46, s78\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s17, s23, s24, s27, s34, s36, s45, s46, s58\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s47, s57, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s48, s57, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s47, s67, s78\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s47, s67, s68\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s47, s57, s78\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s47, s57, s68\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s47, s57, s58\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s18, s23, s24, s26, s34, s36, s45, s47, s57\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s28, s34, s38, s45, s56, s57, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s38, s45, s46, s57, s58, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s28, s34, s38, s45, s46, s57, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s28, s34, s37, s45, s46, s67, s78\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s28, s34, s37, s45, s46, s58, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s18, s23, s24, s28, s34, s37, s45, s46, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s17, s23, s24, s34, s38, s45, s46, s58, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s17, s23, s24, s28, s34, s38, s45, s46, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s28, s34, s36, s45, s48, s57, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s48, s58, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s23, s24, s25, s34, s35, s48, s56, s57, s67, s78\}$ & 1 & no  & 16 \\
$\{s12, s13, s18, s23, s24, s25, s34, s35, s47, s56, s58, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s23, s24, s34, s45, s46, s56, s57, s58, s67, s68\}$ & 1 & no  & 16 \\
$\{s12, s13, s18, s23, s24, s27, s34, s35, s46, s48, s56, s67\}$ & 1 & no  & 16 \\
$\{s12, s13, s23, s25, s28, s34, s37, s45, s46, s48, s56, s57\}$ & 1 & no  & 16 \\
$\{s12, s13, s16, s18, s23, s25, s27, s34, s45, s56, s58, s67\}$ & 1 & no  & 16 \\
$\{s12, s14, s17, s23, s25, s34, s36, s45, s48, s56, s57, s67\}$ & 1 & no  & 16 \\
$\{s12, s14, s23, s25, s34, s36, s45, s48, s56, s57, s67, s78\}$ & 1 & no  & 16 \\
$\{s12, s14, s18, s23, s25, s34, s36, s45, s48, s56, s57, s67\}$ & 1 & no  & 16 \\
$\{s12, s14, s23, s25, s34, s36, s45, s47, s56, s58, s67, s78\}$ & 1 & no  & 16 \\
$\{s12, s14, s23, s25, s34, s36, s45, s47, s56, s58, s67, s68\}$ & 1 & no  & 16 \\
$\{s12, s14, s17, s23, s25, s34, s36, s45, s48, s56, s58, s67\}$ & 1 & no  & 16 \\
$\{s12, s14, s23, s25, s34, s36, s45, s47, s56, s57, s68, s78\}$ & 1 & no  & 16 \\
$\{s12, s14, s23, s25, s34, s36, s38, s45, s47, s56, s57, s68\}$ & 1 & no  & 16 \\
$\{s12, s13, s14, s15, s23, s24, s25, s34, s35, s45, s67, s68, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s14, s17, s23, s24, s25, s34, s35, s45, s56, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s14, s18, s23, s24, s25, s34, s35, s45, s56, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s14, s17, s23, s24, s26, s34, s35, s45, s56, s57, s67\}$ & 1 & no  & 15 \\
$\{s12, s13, s14, s23, s24, s26, s34, s35, s45, s56, s57, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s14, s23, s24, s26, s34, s35, s45, s56, s57, s67, s68\}$ & 1 & no  & 15 \\
$\{s12, s13, s14, s18, s23, s24, s26, s34, s35, s45, s56, s57, s67\}$ & 1 & no  & 15 \\
$\{s12, s13, s14, s17, s23, s24, s26, s34, s35, s45, s56, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s14, s17, s23, s24, s26, s34, s35, s45, s56, s67, s68\}$ & 1 & no  & 15 \\
$\{s12, s13, s14, s17, s23, s24, s26, s34, s35, s45, s56, s58, s67\}$ & 1 & no  & 15 \\
$\{s12, s13, s14, s17, s23, s24, s26, s34, s35, s45, s56, s57, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s14, s23, s24, s26, s34, s35, s45, s56, s67, s68, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s14, s23, s24, s26, s34, s35, s45, s56, s57, s68, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s14, s17, s23, s24, s26, s34, s35, s45, s56, s68, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s14, s16, s23, s24, s26, s34, s35, s45, s57, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s14, s16, s23, s24, s26, s34, s35, s45, s57, s67, s68\}$ & 1 & no  & 15 \\
$\{s12, s13, s14, s16, s23, s24, s26, s34, s35, s45, s58, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s14, s18, s23, s24, s28, s34, s35, s45, s56, s57, s67\}$ & 1 & no  & 15 \\
$\{s12, s13, s14, s18, s23, s24, s26, s34, s35, s45, s57, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s14, s18, s23, s24, s26, s34, s35, s45, s57, s67, s68\}$ & 1 & no  & 15 \\
$\{s12, s13, s14, s18, s23, s24, s26, s34, s35, s45, s57, s58, s67\}$ & 1 & no  & 15 \\
$\{s12, s13, s14, s17, s23, s24, s26, s34, s35, s45, s67, s68, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s14, s18, s23, s24, s27, s34, s36, s45, s56, s57, s67\}$ & 1 & no  & 15 \\
$\{s12, s13, s14, s18, s23, s24, s27, s34, s36, s45, s56, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s14, s18, s23, s24, s27, s34, s36, s45, s56, s67, s68\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s17, s23, s24, s27, s34, s35, s45, s46, s56, s67\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s27, s34, s35, s45, s46, s56, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s27, s34, s35, s45, s46, s56, s67, s68\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s18, s23, s24, s27, s34, s35, s45, s46, s56, s67\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s17, s23, s24, s27, s34, s35, s45, s46, s56, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s34, s35, s45, s46, s56, s67, s68, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s27, s34, s35, s45, s46, s56, s68, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s34, s35, s45, s47, s56, s67, s68, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s28, s34, s35, s45, s47, s56, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s18, s23, s24, s34, s35, s45, s47, s56, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s18, s23, s24, s28, s34, s35, s45, s47, s56, s67\}$ & 1 & no  & 15 \\
$\{s12, s13, s16, s23, s24, s27, s34, s35, s45, s46, s56, s57, s67\}$ & 1 & no  & 15 \\
$\{s12, s13, s16, s17, s23, s24, s34, s35, s45, s46, s56, s57, s67\}$ & 1 & no  & 15 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s46, s56, s57, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s16, s23, s24, s28, s34, s35, s45, s46, s56, s57, s67\}$ & 1 & no  & 15 \\
$\{s12, s13, s16, s18, s23, s24, s34, s35, s45, s46, s56, s57, s67\}$ & 1 & no  & 15 \\
$\{s12, s13, s16, s23, s24, s27, s34, s35, s45, s46, s56, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s16, s23, s24, s27, s34, s35, s45, s46, s56, s58, s67\}$ & 1 & no  & 15 \\
$\{s12, s13, s16, s18, s23, s24, s27, s34, s35, s45, s46, s56, s67\}$ & 1 & no  & 15 \\
$\{s12, s13, s16, s17, s23, s24, s34, s35, s45, s46, s56, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s16, s17, s23, s24, s34, s35, s45, s46, s56, s58, s67\}$ & 1 & no  & 15 \\
$\{s12, s13, s16, s23, s24, s27, s34, s35, s45, s46, s56, s57, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s16, s23, s24, s27, s34, s35, s45, s46, s56, s57, s68\}$ & 1 & no  & 15 \\
$\{s12, s13, s16, s18, s23, s24, s34, s35, s45, s46, s56, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s46, s56, s57, s68, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s16, s23, s24, s28, s34, s35, s45, s46, s56, s57, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s16, s18, s23, s24, s34, s35, s45, s46, s56, s57, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s28, s34, s37, s45, s46, s56, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s28, s34, s37, s45, s46, s56, s67, s68\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s34, s37, s45, s46, s56, s57, s68, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s28, s34, s37, s45, s46, s56, s57, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s18, s23, s24, s34, s37, s45, s46, s56, s57, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s28, s34, s37, s45, s46, s56, s57, s68\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s18, s23, s24, s34, s37, s45, s46, s56, s57, s68\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s47, s56, s57, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s47, s56, s57, s67, s68\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s48, s56, s57, s67\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s48, s56, s57, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s47, s56, s67, s68, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s47, s56, s58, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s28, s34, s36, s45, s47, s56, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s18, s23, s24, s34, s36, s45, s47, s56, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s47, s56, s58, s67, s68\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s28, s34, s36, s45, s47, s56, s67, s68\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s48, s56, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s48, s56, s57, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s46, s57, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s46, s57, s67, s68\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s17, s23, s24, s28, s34, s36, s45, s46, s57, s67\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s28, s34, s36, s45, s46, s57, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s46, s58, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s18, s23, s24, s27, s34, s36, s45, s46, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s18, s23, s24, s27, s34, s36, s45, s46, s67, s68\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s17, s23, s24, s28, s34, s36, s45, s46, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s17, s23, s24, s28, s34, s36, s45, s46, s58, s67\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s46, s57, s68, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s46, s57, s58, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s18, s23, s24, s27, s34, s36, s45, s46, s57, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s46, s57, s58, s68\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s17, s23, s24, s28, s34, s36, s45, s46, s57, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s17, s23, s24, s28, s34, s36, s45, s46, s57, s68\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s17, s23, s24, s28, s34, s36, s45, s46, s57, s58\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s17, s23, s24, s27, s34, s36, s45, s46, s68, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s17, s23, s24, s27, s34, s36, s45, s46, s58, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s47, s57, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s47, s57, s67, s68\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s57, s58, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s48, s57, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s47, s67, s68, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s47, s58, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s18, s23, s24, s26, s34, s36, s45, s47, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s47, s57, s68, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s18, s23, s24, s26, s34, s36, s45, s47, s57, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s47, s57, s58, s68\}$ & 1 & no  & 15 \\
$\{s12, s13, s15, s18, s23, s24, s26, s34, s36, s45, s47, s57, s58\}$ & 1 & no  & 15 \\
$\{s12, s13, s16, s23, s24, s34, s45, s47, s56, s57, s58, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s16, s23, s24, s28, s34, s38, s45, s56, s57, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s16, s23, s25, s34, s45, s46, s48, s56, s57, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s16, s23, s25, s34, s37, s45, s46, s48, s56, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s16, s18, s23, s25, s34, s37, s45, s46, s48, s56, s67\}$ & 1 & no  & 15 \\
$\{s12, s13, s18, s23, s25, s34, s37, s45, s46, s48, s56, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s14, s17, s23, s25, s34, s36, s45, s48, s56, s57, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s14, s17, s23, s25, s34, s36, s38, s45, s48, s56, s57, s67\}$ & 1 & no  & 15 \\
$\{s12, s14, s17, s23, s25, s34, s36, s45, s48, s56, s58, s67, s78\}$ & 1 & no  & 15 \\
$\{s12, s13, s14, s17, s23, s24, s26, s34, s35, s45, s56, s57, s67, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s14, s18, s23, s24, s26, s34, s35, s45, s56, s57, s67, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s14, s18, s23, s24, s26, s34, s35, s45, s56, s57, s67, s68\}$ & 1 & no  & 14 \\
$\{s12, s13, s14, s17, s23, s24, s26, s34, s35, s45, s56, s67, s68, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s14, s17, s23, s24, s26, s34, s35, s45, s56, s58, s67, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s14, s17, s23, s24, s26, s34, s35, s45, s56, s57, s68, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s14, s16, s23, s24, s26, s34, s35, s45, s57, s67, s68, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s14, s16, s23, s24, s26, s34, s35, s45, s57, s58, s67, s68\}$ & 1 & no  & 14 \\
$\{s12, s13, s14, s18, s23, s24, s27, s34, s36, s45, s56, s57, s67, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s14, s18, s23, s24, s28, s34, s36, s45, s56, s57, s67, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s14, s18, s23, s24, s27, s34, s36, s45, s56, s58, s67, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s15, s17, s23, s24, s27, s34, s35, s45, s46, s56, s67, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s15, s23, s24, s27, s34, s35, s45, s46, s56, s67, s68, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s15, s18, s23, s24, s27, s34, s35, s45, s46, s56, s67, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s15, s18, s23, s24, s27, s34, s35, s45, s46, s56, s67, s68\}$ & 1 & no  & 14 \\
$\{s12, s13, s15, s17, s23, s24, s27, s34, s35, s45, s46, s56, s68, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s16, s17, s23, s24, s27, s34, s35, s45, s46, s56, s57, s67\}$ & 1 & no  & 14 \\
$\{s12, s13, s16, s23, s24, s27, s34, s35, s45, s46, s56, s57, s67, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s16, s17, s23, s24, s34, s35, s45, s46, s56, s57, s67, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s16, s23, s24, s28, s34, s35, s45, s46, s56, s57, s67, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s16, s18, s23, s24, s34, s35, s45, s46, s56, s57, s67, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s16, s18, s23, s24, s28, s34, s35, s45, s46, s56, s57, s67\}$ & 1 & no  & 14 \\
$\{s12, s13, s16, s23, s24, s27, s34, s35, s45, s46, s56, s58, s67, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s16, s18, s23, s24, s27, s34, s35, s45, s46, s56, s67, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s16, s18, s23, s24, s27, s34, s35, s45, s46, s56, s58, s67\}$ & 1 & no  & 14 \\
$\{s12, s13, s16, s17, s23, s24, s34, s35, s45, s46, s56, s58, s67, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s16, s23, s24, s27, s34, s35, s45, s46, s56, s57, s68, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s16, s18, s23, s24, s27, s34, s35, s45, s46, s56, s57, s68\}$ & 1 & no  & 14 \\
$\{s12, s13, s15, s18, s23, s24, s28, s34, s37, s45, s46, s56, s67, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s15, s17, s23, s24, s28, s34, s38, s45, s46, s56, s67, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s47, s56, s57, s67, s68, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s15, s18, s23, s24, s34, s36, s45, s47, s56, s57, s67, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s48, s56, s57, s67, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s48, s56, s57, s67, s68, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s15, s18, s23, s24, s28, s34, s36, s45, s47, s56, s67, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s46, s57, s67, s68, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s46, s57, s58, s67, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s15, s18, s23, s24, s27, s34, s36, s45, s46, s57, s67, s68\}$ & 1 & no  & 14 \\
$\{s12, s13, s15, s17, s23, s24, s28, s34, s36, s45, s46, s57, s67, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s15, s17, s23, s24, s28, s34, s36, s45, s46, s57, s67, s68\}$ & 1 & no  & 14 \\
$\{s12, s13, s15, s17, s23, s24, s28, s34, s36, s45, s46, s57, s58, s67\}$ & 1 & no  & 14 \\
$\{s12, s13, s15, s18, s23, s24, s28, s34, s36, s45, s46, s57, s67, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s47, s57, s67, s68, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s15, s18, s23, s24, s26, s34, s36, s45, s47, s57, s67, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s16, s18, s23, s24, s34, s45, s47, s56, s57, s58, s67, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s16, s23, s25, s34, s38, s45, s46, s48, s56, s57, s67, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s16, s23, s25, s28, s34, s45, s46, s48, s56, s57, s67, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s16, s23, s25, s34, s45, s47, s48, s56, s57, s67, s68, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s16, s23, s25, s28, s34, s45, s47, s56, s57, s67, s68, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s16, s23, s25, s28, s34, s37, s45, s47, s48, s56, s67, s78\}$ & 1 & no  & 14 \\
$\{s12, s14, s17, s23, s25, s34, s36, s38, s45, s48, s56, s57, s67, s78\}$ & 1 & no  & 14 \\
$\{s12, s14, s17, s18, s23, s25, s34, s36, s45, s48, s56, s57, s67, s78\}$ & 1 & no  & 14 \\
$\{s12, s13, s14, s23, s24, s25, s34, s35, s45\}$ & 2 & no  & 19 \\
$\{s12, s13, s14, s23, s24, s26, s34, s35, s45\}$ & 2 & no  & 19 \\
$\{s12, s13, s14, s23, s24, s27, s34, s36, s45\}$ & 2 & no  & 19 \\
$\{s12, s13, s15, s23, s24, s34, s35, s45, s56\}$ & 2 & no  & 19 \\
$\{s12, s13, s23, s24, s26, s34, s35, s45, s46\}$ & 2 & no  & 19 \\
$\{s12, s13, s23, s24, s27, s34, s35, s45, s46\}$ & 2 & no  & 19 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s56\}$ & 2 & no  & 19 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s46\}$ & 2 & no  & 19 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45\}$ & 2 & no  & 19 \\
$\{s12, s13, s15, s23, s24, s34, s37, s45, s46\}$ & 2 & no  & 19 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45\}$ & 2 & no  & 19 \\
$\{s12, s13, s23, s24, s25, s34, s35, s56, s57\}$ & 2 & no  & 19 \\
$\{s12, s13, s23, s24, s28, s34, s37, s45, s46\}$ & 2 & no  & 19 \\
$\{s12, s14, s23, s25, s34, s45, s46, s56, s57\}$ & 2 & no  & 19 \\
$\{s12, s14, s23, s25, s34, s36, s45, s56, s57\}$ & 2 & no  & 19 \\
$\{s12, s14, s23, s25, s34, s45, s48, s56, s57\}$ & 2 & no  & 19 \\
$\{s12, s13, s14, s23, s24, s25, s34, s35, s45, s67\}$ & 2 & no  & 18 \\
$\{s12, s13, s14, s23, s24, s34, s35, s45, s56, s57\}$ & 2 & no  & 18 \\
$\{s12, s13, s14, s23, s24, s26, s34, s35, s45, s67\}$ & 2 & no  & 18 \\
$\{s12, s13, s14, s23, s24, s26, s34, s35, s45, s57\}$ & 2 & no  & 18 \\
$\{s12, s13, s14, s23, s24, s28, s34, s35, s45, s67\}$ & 2 & no  & 18 \\
$\{s12, s13, s14, s23, s24, s27, s34, s36, s45, s56\}$ & 2 & no  & 18 \\
$\{s12, s13, s14, s23, s24, s27, s34, s36, s45, s78\}$ & 2 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s35, s45, s56, s67\}$ & 2 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s27, s34, s35, s45, s56\}$ & 2 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s35, s45, s58, s67\}$ & 2 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s35, s45, s46, s56, s57\}$ & 2 & no  & 18 \\
$\{s12, s13, s23, s24, s26, s34, s35, s45, s46, s67\}$ & 2 & no  & 18 \\
$\{s12, s13, s23, s24, s26, s34, s35, s45, s46, s78\}$ & 2 & no  & 18 \\
$\{s12, s13, s23, s24, s27, s34, s35, s45, s46, s67\}$ & 2 & no  & 18 \\
$\{s12, s13, s23, s24, s28, s34, s35, s45, s46, s67\}$ & 2 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s35, s45, s46, s57, s58\}$ & 2 & no  & 18 \\
$\{s12, s13, s23, s24, s27, s34, s35, s45, s46, s58\}$ & 2 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s45, s46, s56, s57\}$ & 2 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s37, s45, s46, s56\}$ & 2 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s56, s67\}$ & 2 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s56, s57\}$ & 2 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s56\}$ & 2 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s56, s78\}$ & 2 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s46, s67\}$ & 2 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s46, s57\}$ & 2 & no  & 18 \\
$\{s12, s13, s15, s17, s23, s24, s34, s36, s45, s46\}$ & 2 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s46, s78\}$ & 2 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s67\}$ & 2 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s57\}$ & 2 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s78\}$ & 2 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s37, s45, s46, s67\}$ & 2 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s45, s46, s57, s58\}$ & 2 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s37, s45, s46, s78\}$ & 2 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s37, s45, s46, s68\}$ & 2 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s37, s45, s46, s58\}$ & 2 & no  & 18 \\
$\{s12, s13, s15, s17, s23, s24, s34, s38, s45, s46\}$ & 2 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s67\}$ & 2 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s78\}$ & 2 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s58\}$ & 2 & no  & 18 \\
$\{s12, s13, s23, s24, s25, s34, s35, s56, s57, s67\}$ & 2 & no  & 18 \\
$\{s12, s13, s23, s24, s25, s34, s35, s56, s58, s67\}$ & 2 & no  & 18 \\
$\{s12, s13, s23, s24, s25, s34, s35, s48, s56, s57\}$ & 2 & no  & 18 \\
$\{s12, s13, s18, s23, s24, s25, s34, s35, s47, s56\}$ & 2 & no  & 18 \\
$\{s12, s13, s23, s24, s28, s34, s37, s45, s46, s56\}$ & 2 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s35, s46, s47, s56, s57\}$ & 2 & no  & 18 \\
$\{s12, s13, s23, s24, s27, s34, s35, s46, s48, s56\}$ & 2 & no  & 18 \\
$\{s12, s13, s23, s24, s26, s34, s35, s47, s48, s56\}$ & 2 & no  & 18 \\
$\{s12, s13, s18, s23, s24, s26, s34, s35, s47, s56\}$ & 2 & no  & 18 \\
$\{s12, s13, s18, s23, s25, s27, s34, s36, s45, s67\}$ & 2 & no  & 18 \\
$\{s12, s14, s23, s25, s27, s34, s45, s46, s56, s57\}$ & 2 & no  & 18 \\
$\{s12, s14, s23, s25, s34, s45, s46, s56, s57, s78\}$ & 2 & no  & 18 \\
$\{s12, s14, s23, s25, s34, s45, s46, s56, s57, s68\}$ & 2 & no  & 18 \\
$\{s12, s14, s23, s25, s34, s38, s45, s46, s56, s57\}$ & 2 & no  & 18 \\
$\{s12, s14, s23, s25, s34, s37, s38, s45, s46, s56\}$ & 2 & no  & 18 \\
$\{s12, s14, s18, s23, s25, s34, s37, s45, s46, s56\}$ & 2 & no  & 18 \\
$\{s12, s14, s23, s25, s27, s34, s45, s46, s56, s58\}$ & 2 & no  & 18 \\
$\{s12, s14, s23, s25, s34, s36, s45, s56, s57, s67\}$ & 2 & no  & 18 \\
$\{s12, s14, s23, s25, s34, s36, s45, s47, s56, s67\}$ & 2 & no  & 18 \\
$\{s12, s14, s23, s25, s34, s36, s45, s56, s58, s67\}$ & 2 & no  & 18 \\
$\{s12, s14, s23, s25, s34, s36, s45, s48, s56, s67\}$ & 2 & no  & 18 \\
$\{s12, s14, s23, s25, s34, s36, s45, s56, s57, s78\}$ & 2 & no  & 18 \\
$\{s12, s14, s23, s25, s34, s36, s38, s45, s56, s57\}$ & 2 & no  & 18 \\
$\{s12, s14, s23, s25, s34, s45, s48, s56, s57, s67\}$ & 2 & no  & 18 \\
$\{s12, s14, s23, s25, s34, s45, s46, s57, s58, s67\}$ & 2 & no  & 18 \\
$\{s12, s14, s23, s34, s36, s38, s45, s47, s56, s78\}$ & 2 & no  & 18 \\
$\{s12, s13, s14, s23, s24, s25, s34, s35, s45, s67, s78\}$ & 2 & no  & 17 \\
$\{s12, s13, s14, s23, s24, s34, s35, s45, s56, s57, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s14, s23, s24, s34, s35, s45, s56, s57, s78\}$ & 2 & no  & 17 \\
$\{s12, s13, s14, s23, s24, s26, s34, s35, s45, s57, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s14, s23, s24, s26, s34, s35, s45, s67, s78\}$ & 2 & no  & 17 \\
$\{s12, s13, s14, s23, s24, s26, s34, s35, s45, s67, s68\}$ & 2 & no  & 17 \\
$\{s12, s13, s14, s23, s24, s26, s34, s35, s45, s58, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s14, s23, s24, s26, s34, s35, s45, s57, s78\}$ & 2 & no  & 17 \\
$\{s12, s13, s14, s23, s24, s26, s34, s35, s45, s57, s58\}$ & 2 & no  & 17 \\
$\{s12, s13, s14, s23, s24, s27, s34, s36, s45, s56, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s14, s23, s24, s27, s34, s36, s45, s56, s78\}$ & 2 & no  & 17 \\
$\{s12, s13, s14, s23, s24, s27, s34, s36, s45, s56, s68\}$ & 2 & no  & 17 \\
$\{s12, s13, s14, s23, s24, s28, s34, s36, s45, s57, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s27, s34, s35, s45, s56, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s35, s45, s56, s67, s78\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s35, s45, s56, s67, s68\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s27, s34, s35, s45, s56, s78\}$ & 2 & no  & 17 \\
$\{s12, s13, s23, s24, s34, s35, s45, s46, s56, s57, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s23, s24, s27, s34, s35, s45, s46, s56, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s23, s24, s34, s35, s45, s46, s56, s57, s78\}$ & 2 & no  & 17 \\
$\{s12, s13, s23, s24, s34, s35, s45, s46, s56, s57, s68\}$ & 2 & no  & 17 \\
$\{s12, s13, s23, s24, s28, s34, s35, s45, s46, s56, s57\}$ & 2 & no  & 17 \\
$\{s12, s13, s18, s23, s24, s34, s35, s45, s46, s56, s57\}$ & 2 & no  & 17 \\
$\{s12, s13, s16, s17, s23, s24, s34, s35, s45, s56, s57\}$ & 2 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s48, s56, s57\}$ & 2 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s28, s34, s35, s45, s47, s56\}$ & 2 & no  & 17 \\
$\{s12, s13, s23, s24, s26, s34, s35, s45, s46, s57, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s23, s24, s26, s34, s35, s45, s46, s67, s78\}$ & 2 & no  & 17 \\
$\{s12, s13, s23, s24, s26, s34, s35, s45, s46, s67, s68\}$ & 2 & no  & 17 \\
$\{s12, s13, s23, s24, s26, s34, s35, s45, s46, s58, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s23, s24, s34, s35, s45, s48, s56, s57, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s23, s24, s34, s35, s45, s47, s56, s58, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s23, s24, s28, s34, s35, s45, s47, s56, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s23, s24, s27, s34, s35, s45, s48, s56, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s23, s24, s27, s34, s35, s45, s46, s67, s78\}$ & 2 & no  & 17 \\
$\{s12, s13, s23, s24, s27, s34, s35, s45, s46, s58, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s45, s46, s56, s57, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s37, s45, s46, s56, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s17, s23, s24, s34, s45, s46, s56, s57\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s45, s46, s56, s57, s78\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s45, s46, s56, s57, s68\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s37, s45, s46, s56, s78\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s37, s45, s46, s56, s68\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s37, s45, s46, s56, s58\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s18, s23, s24, s34, s37, s45, s46, s56\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s17, s23, s24, s34, s45, s46, s56, s58\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s56, s57, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s56, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s56, s57\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s56, s67, s78\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s56, s67, s68\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s56, s57, s78\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s56, s57, s68\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s56, s78\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s56, s68\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s56, s58\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s46, s57, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s17, s23, s24, s34, s36, s45, s46, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s17, s23, s24, s34, s36, s45, s46, s57\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s46, s67, s78\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s46, s67, s68\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s46, s58, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s46, s57, s78\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s46, s57, s58\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s17, s23, s24, s34, s36, s45, s46, s78\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s17, s23, s24, s34, s36, s45, s46, s68\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s17, s23, s24, s34, s36, s45, s46, s58\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s57, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s67, s78\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s67, s68\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s58, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s57, s78\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s57, s58\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s45, s48, s56, s57, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s45, s46, s57, s58, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s38, s45, s46, s57, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s37, s45, s46, s67, s78\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s37, s45, s46, s67, s68\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s37, s45, s46, s58, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s18, s23, s24, s34, s37, s45, s46, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s17, s23, s24, s34, s38, s45, s46, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s48, s57, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s28, s34, s36, s45, s57, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s67, s78\}$ & 2 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s58, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s23, s24, s25, s34, s35, s56, s57, s67, s78\}$ & 2 & no  & 17 \\
$\{s12, s13, s23, s24, s25, s34, s35, s48, s56, s57, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s23, s24, s25, s34, s35, s47, s56, s58, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s18, s23, s24, s25, s34, s35, s47, s56, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s28, s34, s37, s45, s56, s78\}$ & 2 & no  & 17 \\
$\{s12, s13, s23, s24, s28, s34, s38, s45, s46, s57, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s23, s24, s28, s34, s36, s45, s48, s57, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s18, s23, s24, s34, s36, s45, s48, s57, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s23, s24, s28, s34, s35, s46, s47, s56, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s23, s24, s27, s34, s35, s46, s48, s56, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s23, s24, s34, s35, s46, s47, s56, s57, s78\}$ & 2 & no  & 17 \\
$\{s12, s13, s23, s24, s34, s35, s46, s47, s56, s57, s58\}$ & 2 & no  & 17 \\
$\{s12, s13, s23, s24, s28, s34, s35, s46, s47, s56, s57\}$ & 2 & no  & 17 \\
$\{s12, s13, s18, s23, s24, s34, s35, s46, s47, s56, s57\}$ & 2 & no  & 17 \\
$\{s12, s13, s23, s24, s27, s34, s35, s46, s48, s56, s57\}$ & 2 & no  & 17 \\
$\{s12, s13, s18, s23, s24, s27, s34, s35, s46, s56, s57\}$ & 2 & no  & 17 \\
$\{s12, s13, s18, s23, s24, s26, s34, s35, s48, s57, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s23, s25, s34, s37, s45, s46, s56, s57, s78\}$ & 2 & no  & 17 \\
$\{s12, s13, s23, s25, s34, s37, s45, s46, s48, s56, s57\}$ & 2 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s27, s34, s45, s56, s67, s78\}$ & 2 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s27, s34, s45, s56, s58, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s16, s18, s23, s25, s27, s34, s45, s56, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s27, s34, s45, s56, s57, s78\}$ & 2 & no  & 17 \\
$\{s12, s13, s18, s23, s25, s27, s34, s45, s56, s58, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s28, s34, s37, s45, s67, s78\}$ & 2 & no  & 17 \\
$\{s12, s13, s16, s18, s23, s25, s34, s37, s45, s67, s78\}$ & 2 & no  & 17 \\
$\{s12, s13, s16, s18, s23, s25, s28, s34, s37, s45, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s16, s17, s23, s25, s28, s34, s38, s45, s67\}$ & 2 & no  & 17 \\
$\{s12, s14, s23, s25, s27, s34, s45, s46, s56, s58, s67\}$ & 2 & no  & 17 \\
$\{s12, s14, s23, s25, s27, s34, s45, s46, s56, s57, s78\}$ & 2 & no  & 17 \\
$\{s12, s14, s23, s25, s27, s34, s38, s45, s46, s56, s57\}$ & 2 & no  & 17 \\
$\{s12, s14, s17, s23, s25, s34, s36, s45, s56, s57, s67\}$ & 2 & no  & 17 \\
$\{s12, s14, s23, s25, s34, s36, s45, s56, s57, s67, s78\}$ & 2 & no  & 17 \\
$\{s12, s14, s23, s25, s34, s36, s45, s56, s57, s67, s68\}$ & 2 & no  & 17 \\
$\{s12, s14, s23, s25, s34, s36, s38, s45, s56, s57, s67\}$ & 2 & no  & 17 \\
$\{s12, s14, s18, s23, s25, s34, s36, s45, s56, s57, s67\}$ & 2 & no  & 17 \\
$\{s12, s14, s23, s25, s34, s36, s45, s47, s56, s67, s78\}$ & 2 & no  & 17 \\
$\{s12, s14, s23, s25, s34, s36, s45, s47, s56, s67, s68\}$ & 2 & no  & 17 \\
$\{s12, s14, s17, s23, s25, s34, s36, s45, s56, s58, s67\}$ & 2 & no  & 17 \\
$\{s12, s14, s23, s25, s34, s38, s45, s48, s56, s57, s67\}$ & 2 & no  & 17 \\
$\{s12, s14, s23, s25, s34, s37, s45, s48, s56, s58, s67\}$ & 2 & no  & 17 \\
$\{s12, s14, s23, s25, s34, s37, s38, s45, s56, s58, s67\}$ & 2 & no  & 17 \\
$\{s12, s14, s18, s23, s25, s34, s37, s45, s56, s58, s67\}$ & 2 & no  & 17 \\
$\{s12, s14, s18, s23, s25, s34, s37, s45, s48, s56, s67\}$ & 2 & no  & 17 \\
$\{s12, s14, s23, s25, s34, s45, s46, s57, s58, s67, s78\}$ & 2 & no  & 17 \\
$\{s12, s14, s23, s25, s34, s45, s46, s57, s58, s67, s68\}$ & 2 & no  & 17 \\
$\{s12, s14, s23, s25, s28, s34, s45, s46, s57, s58, s67\}$ & 2 & no  & 17 \\
$\{s12, s14, s18, s23, s25, s34, s38, s45, s46, s57, s67\}$ & 2 & no  & 17 \\
$\{s12, s13, s14, s23, s24, s34, s35, s45, s56, s57, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s14, s23, s24, s28, s34, s35, s45, s56, s57, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s14, s23, s24, s34, s35, s45, s56, s58, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s14, s23, s24, s26, s34, s35, s45, s57, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s14, s23, s24, s26, s34, s35, s45, s57, s67, s68\}$ & 2 & no  & 16 \\
$\{s12, s13, s14, s23, s24, s26, s34, s35, s45, s57, s58, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s14, s23, s24, s26, s34, s35, s45, s58, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s14, s23, s24, s27, s34, s36, s45, s56, s57, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s14, s23, s24, s28, s34, s36, s45, s56, s57, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s14, s23, s24, s27, s34, s36, s45, s56, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s14, s23, s24, s27, s34, s36, s45, s56, s67, s68\}$ & 2 & no  & 16 \\
$\{s12, s13, s14, s23, s24, s28, s34, s38, s45, s56, s57, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s14, s23, s24, s28, s34, s36, s45, s57, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s14, s23, s24, s28, s34, s36, s45, s57, s67, s68\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s27, s34, s35, s45, s56, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s35, s45, s56, s67, s68, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s28, s34, s35, s45, s56, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s17, s23, s24, s34, s35, s45, s46, s56, s57, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s23, s24, s34, s35, s45, s46, s56, s57, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s23, s24, s34, s35, s45, s46, s56, s57, s67, s68\}$ & 2 & no  & 16 \\
$\{s12, s13, s23, s24, s27, s34, s35, s45, s46, s56, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s23, s24, s27, s34, s35, s45, s46, s56, s67, s68\}$ & 2 & no  & 16 \\
$\{s12, s13, s23, s24, s27, s34, s35, s45, s46, s56, s58, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s18, s23, s24, s27, s34, s35, s45, s46, s56, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s17, s23, s24, s34, s35, s45, s46, s56, s58, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s48, s56, s57, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s47, s56, s58, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s16, s23, s24, s28, s34, s35, s45, s47, s56, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s16, s17, s23, s24, s34, s35, s45, s56, s57, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s16, s17, s23, s24, s34, s35, s45, s48, s56, s57\}$ & 2 & no  & 16 \\
$\{s12, s13, s17, s23, s24, s26, s34, s35, s45, s46, s57, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s23, s24, s26, s34, s35, s45, s46, s57, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s23, s24, s26, s34, s35, s45, s46, s57, s67, s68\}$ & 2 & no  & 16 \\
$\{s12, s13, s18, s23, s24, s26, s34, s35, s45, s46, s57, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s23, s24, s28, s34, s35, s45, s48, s56, s57, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s18, s23, s24, s34, s35, s45, s48, s56, s57, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s23, s24, s28, s34, s35, s45, s47, s56, s67, s68\}$ & 2 & no  & 16 \\
$\{s12, s13, s18, s23, s24, s34, s35, s45, s47, s56, s58, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s18, s23, s24, s28, s34, s35, s45, s47, s56, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s23, s24, s27, s34, s35, s45, s48, s56, s58, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s17, s23, s24, s34, s35, s45, s48, s56, s58, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s17, s23, s24, s28, s34, s35, s45, s56, s58, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s17, s23, s24, s28, s34, s35, s45, s48, s56, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s23, s24, s27, s34, s35, s45, s46, s58, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s18, s23, s24, s27, s34, s35, s45, s46, s58, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s17, s23, s24, s34, s45, s46, s56, s57, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s45, s46, s56, s57, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s45, s46, s56, s57, s67, s68\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s38, s45, s46, s56, s57, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s18, s23, s24, s34, s45, s46, s56, s57, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s37, s45, s46, s56, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s37, s45, s46, s56, s67, s68\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s37, s45, s46, s56, s58, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s18, s23, s24, s34, s37, s45, s46, s56, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s17, s23, s24, s34, s45, s46, s56, s58, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s17, s23, s24, s34, s38, s45, s46, s56, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s17, s23, s24, s34, s45, s46, s56, s57, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s17, s23, s24, s34, s38, s45, s46, s56, s57\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s45, s46, s56, s57, s68, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s37, s45, s46, s56, s68, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s56, s57, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s56, s57, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s56, s57, s67, s68\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s28, s34, s36, s45, s56, s57, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s56, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s56, s67, s68\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s56, s58, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s56, s57, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s56, s67, s68, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s56, s57, s68, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s56, s68, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s17, s23, s24, s34, s36, s45, s46, s57, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s46, s57, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s46, s57, s67, s68\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s46, s57, s58, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s18, s23, s24, s34, s36, s45, s46, s57, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s17, s23, s24, s34, s36, s45, s46, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s17, s23, s24, s34, s36, s45, s46, s67, s68\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s17, s23, s24, s34, s36, s45, s46, s58, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s17, s23, s24, s34, s36, s45, s46, s57, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s17, s23, s24, s34, s36, s45, s46, s57, s68\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s17, s23, s24, s34, s36, s45, s46, s57, s58\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s46, s58, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s57, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s57, s67, s68\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s57, s58, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s58, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s38, s45, s48, s56, s57, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s45, s46, s57, s58, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s38, s45, s46, s57, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s45, s46, s57, s58, s67, s68\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s18, s23, s24, s34, s45, s46, s57, s58, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s18, s23, s24, s34, s38, s45, s46, s57, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s37, s45, s46, s67, s68, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s37, s45, s46, s58, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s18, s23, s24, s34, s37, s45, s46, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s37, s45, s46, s58, s67, s68\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s18, s23, s24, s34, s37, s45, s46, s67, s68\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s18, s23, s24, s34, s37, s45, s46, s58, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s28, s34, s36, s45, s57, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s48, s57, s58, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s28, s34, s36, s45, s57, s58, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s67, s68, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s58, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s18, s23, s24, s25, s34, s35, s48, s56, s57, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s23, s24, s25, s34, s35, s47, s56, s58, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s18, s23, s24, s25, s34, s35, s47, s56, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s16, s23, s24, s28, s34, s38, s45, s56, s57, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s18, s23, s24, s28, s34, s35, s46, s47, s56, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s23, s24, s27, s34, s35, s46, s48, s56, s67, s68\}$ & 2 & no  & 16 \\
$\{s12, s13, s23, s24, s34, s35, s46, s47, s56, s57, s68, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s18, s23, s24, s34, s35, s46, s47, s56, s57, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s23, s24, s28, s34, s35, s46, s47, s56, s57, s58\}$ & 2 & no  & 16 \\
$\{s12, s13, s18, s23, s24, s34, s35, s46, s47, s56, s57, s58\}$ & 2 & no  & 16 \\
$\{s12, s13, s18, s23, s24, s28, s34, s35, s46, s47, s56, s57\}$ & 2 & no  & 16 \\
$\{s12, s13, s18, s23, s24, s27, s34, s35, s46, s56, s57, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s18, s23, s24, s27, s34, s35, s46, s56, s57, s68\}$ & 2 & no  & 16 \\
$\{s12, s13, s17, s23, s24, s28, s34, s35, s46, s56, s57, s58\}$ & 2 & no  & 16 \\
$\{s12, s13, s17, s23, s24, s28, s34, s35, s46, s48, s56, s57\}$ & 2 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s34, s45, s46, s56, s57, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s34, s45, s46, s48, s56, s57, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s34, s37, s45, s46, s56, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s34, s37, s45, s46, s48, s56, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s16, s17, s23, s25, s34, s45, s46, s56, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s34, s45, s46, s56, s58, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s16, s18, s23, s25, s34, s45, s46, s56, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s23, s25, s34, s45, s46, s48, s56, s57, s67, s68\}$ & 2 & no  & 16 \\
$\{s12, s13, s23, s25, s34, s37, s45, s46, s48, s56, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s23, s25, s28, s34, s37, s45, s46, s48, s56, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s18, s23, s25, s34, s37, s45, s46, s48, s56, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s23, s25, s34, s37, s45, s46, s56, s57, s68, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s23, s25, s34, s37, s45, s46, s48, s56, s57, s68\}$ & 2 & no  & 16 \\
$\{s12, s13, s17, s23, s25, s26, s34, s45, s56, s58, s67, s68\}$ & 2 & no  & 16 \\
$\{s12, s13, s17, s23, s25, s26, s34, s38, s45, s56, s67, s68\}$ & 2 & no  & 16 \\
$\{s12, s13, s17, s18, s23, s25, s26, s34, s45, s56, s67, s68\}$ & 2 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s28, s34, s37, s45, s56, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s16, s18, s23, s25, s34, s37, s45, s56, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s16, s18, s23, s25, s28, s34, s37, s45, s56, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s27, s34, s45, s48, s56, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s27, s34, s38, s45, s56, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s13, s16, s18, s23, s25, s27, s34, s38, s45, s56, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s16, s17, s23, s25, s28, s34, s45, s56, s67, s68\}$ & 2 & no  & 16 \\
$\{s12, s13, s16, s17, s23, s25, s28, s34, s38, s45, s56, s67\}$ & 2 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s27, s34, s45, s56, s57, s68, s78\}$ & 2 & no  & 16 \\
$\{s12, s14, s23, s25, s27, s34, s45, s46, s56, s58, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s14, s18, s23, s25, s27, s34, s38, s45, s46, s56, s67\}$ & 2 & no  & 16 \\
$\{s12, s14, s17, s23, s25, s34, s36, s45, s56, s57, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s14, s17, s23, s25, s34, s36, s38, s45, s56, s57, s67\}$ & 2 & no  & 16 \\
$\{s12, s14, s18, s23, s25, s34, s36, s45, s56, s57, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s14, s23, s25, s34, s36, s38, s45, s56, s57, s67, s68\}$ & 2 & no  & 16 \\
$\{s12, s14, s23, s25, s34, s36, s45, s47, s56, s67, s68, s78\}$ & 2 & no  & 16 \\
$\{s12, s14, s18, s23, s25, s34, s36, s45, s47, s56, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s14, s17, s23, s25, s34, s36, s45, s56, s58, s67, s78\}$ & 2 & no  & 16 \\
$\{s12, s14, s17, s23, s25, s34, s36, s45, s56, s58, s67, s68\}$ & 2 & no  & 16 \\
$\{s12, s14, s17, s23, s25, s34, s36, s45, s48, s56, s67, s68\}$ & 2 & no  & 16 \\
$\{s12, s13, s14, s23, s24, s26, s34, s35, s45, s57, s67, s68, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s14, s23, s24, s26, s34, s35, s45, s57, s58, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s14, s23, s24, s26, s34, s35, s45, s57, s58, s67, s68\}$ & 2 & no  & 15 \\
$\{s12, s13, s14, s23, s24, s27, s34, s36, s45, s56, s57, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s14, s23, s24, s28, s34, s36, s45, s56, s57, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s14, s23, s24, s27, s34, s36, s45, s56, s67, s68, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s14, s23, s24, s27, s34, s36, s45, s56, s58, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s27, s34, s35, s45, s56, s67, s68, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s17, s23, s24, s34, s35, s45, s46, s56, s57, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s17, s23, s24, s34, s35, s45, s46, s56, s57, s67, s68\}$ & 2 & no  & 15 \\
$\{s12, s13, s23, s24, s34, s35, s45, s46, s56, s57, s67, s68, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s23, s24, s28, s34, s35, s45, s46, s56, s57, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s18, s23, s24, s34, s35, s45, s46, s56, s57, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s23, s24, s28, s34, s35, s45, s46, s56, s57, s67, s68\}$ & 2 & no  & 15 \\
$\{s12, s13, s23, s24, s27, s34, s35, s45, s46, s56, s67, s68, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s23, s24, s27, s34, s35, s45, s46, s56, s58, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s18, s23, s24, s27, s34, s35, s45, s46, s56, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s18, s23, s24, s27, s34, s35, s45, s46, s56, s67, s68\}$ & 2 & no  & 15 \\
$\{s12, s13, s18, s23, s24, s27, s34, s35, s45, s46, s56, s58, s67\}$ & 2 & no  & 15 \\
$\{s12, s13, s17, s23, s24, s34, s35, s45, s46, s56, s58, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s48, s56, s57, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s48, s56, s57, s67, s68\}$ & 2 & no  & 15 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s47, s56, s58, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s16, s23, s24, s28, s34, s35, s45, s47, s56, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s16, s23, s24, s28, s34, s35, s45, s47, s56, s67, s68\}$ & 2 & no  & 15 \\
$\{s12, s13, s16, s17, s23, s24, s34, s35, s45, s56, s57, s68, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s16, s17, s23, s24, s34, s35, s45, s48, s56, s57, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s17, s23, s24, s26, s34, s35, s45, s46, s57, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s17, s23, s24, s26, s34, s35, s45, s46, s57, s67, s68\}$ & 2 & no  & 15 \\
$\{s12, s13, s23, s24, s26, s34, s35, s45, s46, s57, s67, s68, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s18, s23, s24, s26, s34, s35, s45, s46, s57, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s23, s24, s26, s34, s35, s45, s46, s57, s58, s67, s68\}$ & 2 & no  & 15 \\
$\{s12, s13, s18, s23, s24, s26, s34, s35, s45, s46, s57, s67, s68\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s17, s23, s24, s34, s45, s46, s56, s57, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s17, s23, s24, s34, s38, s45, s46, s56, s57, s67\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s34, s45, s46, s56, s57, s67, s68, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s34, s38, s45, s46, s56, s57, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s18, s23, s24, s34, s45, s46, s56, s57, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s34, s37, s45, s46, s56, s67, s68, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s34, s37, s45, s46, s56, s58, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s18, s23, s24, s34, s37, s45, s46, s56, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s34, s37, s45, s46, s56, s58, s67, s68\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s18, s23, s24, s34, s37, s45, s46, s56, s67, s68\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s17, s23, s24, s34, s45, s46, s56, s58, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s17, s23, s24, s34, s38, s45, s46, s56, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s17, s23, s24, s34, s45, s46, s56, s58, s67, s68\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s17, s23, s24, s34, s45, s46, s56, s57, s68, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s17, s23, s24, s34, s38, s45, s46, s56, s57, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s56, s57, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s56, s57, s67, s68, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s28, s34, s36, s45, s56, s57, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s56, s67, s68, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s56, s58, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s56, s58, s67, s68\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s56, s57, s68, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s17, s23, s24, s34, s36, s45, s46, s57, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s17, s23, s24, s34, s36, s45, s46, s57, s67, s68\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s17, s23, s24, s34, s36, s45, s46, s57, s58, s67\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s46, s57, s67, s68, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s46, s57, s58, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s18, s23, s24, s34, s36, s45, s46, s57, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s46, s57, s58, s67, s68\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s17, s23, s24, s34, s36, s45, s46, s67, s68, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s17, s23, s24, s34, s36, s45, s46, s58, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s17, s23, s24, s34, s36, s45, s46, s58, s67, s68\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s17, s23, s24, s34, s36, s45, s46, s57, s68, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s17, s23, s24, s34, s36, s45, s46, s57, s58, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s17, s23, s24, s34, s36, s45, s46, s57, s58, s68\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s57, s67, s68, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s26, s34, s36, s45, s57, s58, s67, s68\}$ & 2 & no  & 15 \\
$\{s12, s13, s15, s23, s24, s34, s45, s48, s56, s57, s67, s68, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s16, s23, s25, s34, s38, s45, s46, s56, s57, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s16, s23, s25, s28, s34, s45, s46, s56, s57, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s16, s23, s25, s34, s38, s45, s46, s48, s56, s57, s67\}$ & 2 & no  & 15 \\
$\{s12, s13, s16, s23, s25, s34, s37, s45, s46, s56, s58, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s16, s23, s25, s34, s37, s45, s46, s48, s56, s58, s67\}$ & 2 & no  & 15 \\
$\{s12, s13, s16, s18, s23, s25, s34, s37, s45, s46, s56, s58, s67\}$ & 2 & no  & 15 \\
$\{s12, s13, s16, s17, s23, s25, s34, s45, s46, s56, s58, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s17, s23, s25, s34, s45, s46, s48, s56, s58, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s17, s23, s25, s34, s38, s45, s46, s56, s58, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s16, s23, s25, s34, s45, s47, s56, s57, s67, s68, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s16, s23, s25, s28, s34, s45, s47, s56, s57, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s16, s23, s25, s34, s45, s47, s48, s56, s57, s67, s68\}$ & 2 & no  & 15 \\
$\{s12, s13, s16, s23, s25, s28, s34, s45, s47, s56, s57, s67, s68\}$ & 2 & no  & 15 \\
$\{s12, s13, s16, s23, s25, s34, s37, s45, s47, s48, s56, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s16, s23, s25, s28, s34, s37, s45, s47, s56, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s16, s18, s23, s25, s34, s37, s45, s47, s56, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s16, s23, s25, s34, s45, s47, s56, s58, s67, s68, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s16, s23, s25, s34, s38, s45, s47, s56, s58, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s16, s23, s25, s28, s34, s45, s47, s56, s58, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s16, s23, s25, s28, s34, s38, s45, s47, s56, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s14, s17, s23, s25, s34, s36, s45, s56, s57, s67, s68, s78\}$ & 2 & no  & 15 \\
$\{s12, s14, s17, s23, s25, s34, s36, s38, s45, s56, s57, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s14, s17, s18, s23, s25, s34, s36, s45, s56, s57, s67, s78\}$ & 2 & no  & 15 \\
$\{s12, s14, s17, s23, s25, s34, s36, s45, s56, s58, s67, s68, s78\}$ & 2 & no  & 15 \\
$\{s12, s13, s17, s23, s24, s34, s35, s45, s46, s56, s57, s67, s68, s78\}$ & 2 & no  & 14 \\
$\{s12, s13, s17, s23, s24, s28, s34, s35, s45, s46, s56, s57, s67, s78\}$ & 2 & no  & 14 \\
$\{s12, s13, s17, s18, s23, s24, s34, s35, s45, s46, s56, s57, s67, s78\}$ & 2 & no  & 14 \\
$\{s12, s13, s17, s23, s24, s28, s34, s35, s45, s46, s56, s57, s67, s68\}$ & 2 & no  & 14 \\
$\{s12, s13, s17, s23, s24, s34, s35, s45, s46, s56, s58, s67, s68, s78\}$ & 2 & no  & 14 \\
$\{s12, s13, s16, s23, s24, s28, s34, s35, s45, s48, s56, s57, s67, s78\}$ & 2 & no  & 14 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s47, s56, s58, s67, s68, s78\}$ & 2 & no  & 14 \\
$\{s12, s13, s16, s18, s23, s24, s28, s34, s35, s45, s47, s56, s67, s78\}$ & 2 & no  & 14 \\
$\{s12, s13, s17, s23, s24, s26, s34, s35, s45, s46, s57, s67, s68, s78\}$ & 2 & no  & 14 \\
$\{s12, s13, s17, s23, s24, s26, s34, s35, s45, s46, s57, s58, s67, s68\}$ & 2 & no  & 14 \\
$\{s12, s13, s15, s17, s23, s24, s34, s45, s46, s56, s57, s67, s68, s78\}$ & 2 & no  & 14 \\
$\{s12, s13, s15, s17, s23, s24, s34, s38, s45, s46, s56, s57, s67, s78\}$ & 2 & no  & 14 \\
$\{s12, s13, s15, s18, s23, s24, s34, s45, s46, s56, s57, s67, s68, s78\}$ & 2 & no  & 14 \\
$\{s12, s13, s15, s23, s24, s27, s34, s36, s45, s56, s57, s67, s68, s78\}$ & 2 & no  & 14 \\
$\{s12, s13, s15, s17, s23, s24, s34, s36, s45, s46, s57, s67, s68, s78\}$ & 2 & no  & 14 \\
$\{s12, s13, s15, s17, s23, s24, s34, s36, s45, s46, s57, s58, s67, s78\}$ & 2 & no  & 14 \\
$\{s12, s13, s15, s17, s23, s24, s34, s36, s45, s46, s57, s58, s67, s68\}$ & 2 & no  & 14 \\
$\{s12, s13, s16, s18, s23, s25, s28, s34, s45, s46, s56, s57, s67, s78\}$ & 2 & no  & 14 \\
$\{s12, s13, s16, s17, s23, s25, s28, s34, s45, s46, s56, s58, s67, s78\}$ & 2 & no  & 14 \\
$\{s12, s13, s16, s23, s25, s34, s38, s45, s47, s56, s57, s67, s68, s78\}$ & 2 & no  & 14 \\
$\{s12, s13, s16, s18, s23, s25, s34, s45, s47, s56, s57, s67, s68, s78\}$ & 2 & no  & 14 \\
$\{s12, s13, s16, s23, s25, s28, s34, s38, s45, s47, s56, s57, s67, s78\}$ & 2 & no  & 14 \\
$\{s12, s13, s16, s23, s25, s28, s34, s38, s45, s47, s56, s57, s67, s68\}$ & 2 & no  & 14 \\
$\{s12, s13, s16, s18, s23, s25, s28, s34, s45, s47, s56, s57, s67, s68\}$ & 2 & no  & 14 \\
$\{s12, s13, s16, s23, s25, s34, s37, s45, s47, s56, s58, s67, s68, s78\}$ & 2 & no  & 14 \\
$\{s12, s13, s16, s23, s25, s34, s37, s45, s47, s48, s56, s67, s68, s78\}$ & 2 & no  & 14 \\
$\{s12, s13, s16, s23, s25, s28, s34, s37, s45, s47, s56, s67, s68, s78\}$ & 2 & no  & 14 \\
$\{s12, s13, s16, s18, s23, s25, s34, s37, s45, s47, s56, s67, s68, s78\}$ & 2 & no  & 14 \\
$\{s12, s14, s17, s23, s25, s34, s36, s38, s45, s56, s57, s67, s68, s78\}$ & 2 & no  & 14 \\
$\{s12, s13, s14, s23, s24, s27, s34, s36, s45, s56, s57, s58, s67, s68, s78\}$ & 2 & no  & 13 \\
$\{s12, s13, s14, s23, s24, s34, s35, s45, s56\}$ & 3 & no  & 19 \\
$\{s12, s13, s14, s23, s24, s34, s36, s45, s56\}$ & 3 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s35, s45, s46, s56\}$ & 3 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s35, s45, s46, s57\}$ & 3 & no  & 19 \\
$\{s12, s13, s15, s23, s24, s34, s45, s46, s56\}$ & 3 & no  & 19 \\
$\{s12, s13, s15, s23, s24, s34, s45, s46, s57\}$ & 3 & no  & 19 \\
$\{s12, s13, s23, s24, s25, s34, s35, s47, s56\}$ & 3 & no  & 19 \\
$\{s12, s13, s16, s23, s24, s28, s34, s37, s45\}$ & 3 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s35, s46, s47, s56\}$ & 3 & no  & 19 \\
$\{s12, s13, s23, s24, s26, s34, s35, s47, s56\}$ & 3 & no  & 19 \\
$\{s12, s13, s23, s25, s27, s34, s36, s45, s67\}$ & 3 & no  & 19 \\
$\{s12, s13, s16, s23, s25, s28, s34, s37, s45\}$ & 3 & no  & 19 \\
$\{s12, s14, s23, s25, s34, s37, s45, s46, s56\}$ & 3 & no  & 19 \\
$\{s12, s14, s23, s25, s34, s37, s45, s48, s56\}$ & 3 & no  & 19 \\
$\{s12, s14, s23, s34, s36, s38, s45, s47, s56\}$ & 3 & no  & 19 \\
$\{s12, s13, s14, s23, s24, s34, s35, s45, s56, s67\}$ & 3 & no  & 18 \\
$\{s12, s13, s14, s23, s24, s34, s35, s45, s58, s67\}$ & 3 & no  & 18 \\
$\{s12, s13, s14, s23, s24, s34, s36, s45, s56, s67\}$ & 3 & no  & 18 \\
$\{s12, s13, s14, s23, s24, s34, s36, s45, s56, s78\}$ & 3 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s35, s45, s46, s56, s67\}$ & 3 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s35, s45, s46, s56, s78\}$ & 3 & no  & 18 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s56, s57\}$ & 3 & no  & 18 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s47, s56\}$ & 3 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s35, s45, s47, s56, s67\}$ & 3 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s35, s45, s46, s58, s67\}$ & 3 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s35, s45, s46, s57, s78\}$ & 3 & no  & 18 \\
$\{s12, s13, s17, s23, s24, s34, s35, s45, s46, s58\}$ & 3 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s45, s46, s56, s67\}$ & 3 & no  & 18 \\
$\{s12, s13, s15, s17, s23, s24, s34, s45, s46, s56\}$ & 3 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s45, s46, s56, s78\}$ & 3 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s45, s46, s57, s67\}$ & 3 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s45, s46, s58, s67\}$ & 3 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s45, s46, s57, s78\}$ & 3 & no  & 18 \\
$\{s12, s13, s15, s17, s23, s24, s34, s45, s46, s58\}$ & 3 & no  & 18 \\
$\{s12, s13, s23, s24, s25, s34, s35, s47, s56, s67\}$ & 3 & no  & 18 \\
$\{s12, s13, s23, s24, s25, s34, s35, s47, s56, s78\}$ & 3 & no  & 18 \\
$\{s12, s13, s16, s23, s24, s28, s34, s37, s45, s56\}$ & 3 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s35, s46, s47, s56, s67\}$ & 3 & no  & 18 \\
$\{s12, s13, s23, s24, s27, s34, s35, s46, s56, s57\}$ & 3 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s35, s46, s47, s56, s78\}$ & 3 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s35, s46, s47, s56, s68\}$ & 3 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s35, s46, s47, s56, s58\}$ & 3 & no  & 18 \\
$\{s12, s13, s18, s23, s24, s34, s35, s46, s47, s56\}$ & 3 & no  & 18 \\
$\{s12, s13, s18, s23, s24, s27, s34, s35, s46, s56\}$ & 3 & no  & 18 \\
$\{s12, s13, s23, s24, s26, s34, s35, s47, s56, s78\}$ & 3 & no  & 18 \\
$\{s12, s13, s23, s24, s26, s34, s35, s47, s56, s68\}$ & 3 & no  & 18 \\
$\{s12, s13, s23, s25, s34, s37, s45, s46, s56, s57\}$ & 3 & no  & 18 \\
$\{s12, s13, s23, s25, s26, s34, s45, s56, s57, s68\}$ & 3 & no  & 18 \\
$\{s12, s13, s16, s23, s25, s27, s34, s45, s56, s67\}$ & 3 & no  & 18 \\
$\{s12, s13, s16, s23, s25, s27, s34, s45, s56, s57\}$ & 3 & no  & 18 \\
$\{s12, s13, s16, s23, s25, s28, s34, s45, s56, s57\}$ & 3 & no  & 18 \\
$\{s12, s13, s16, s23, s25, s28, s34, s37, s45, s56\}$ & 3 & no  & 18 \\
$\{s12, s13, s16, s23, s25, s27, s34, s45, s56, s78\}$ & 3 & no  & 18 \\
$\{s12, s13, s23, s25, s27, s34, s45, s56, s58, s67\}$ & 3 & no  & 18 \\
$\{s12, s13, s23, s25, s27, s34, s36, s45, s67, s78\}$ & 3 & no  & 18 \\
$\{s12, s13, s16, s23, s25, s28, s34, s37, s45, s67\}$ & 3 & no  & 18 \\
$\{s12, s14, s23, s25, s34, s37, s45, s46, s56, s78\}$ & 3 & no  & 18 \\
$\{s12, s14, s23, s25, s34, s37, s45, s46, s56, s68\}$ & 3 & no  & 18 \\
$\{s12, s14, s23, s25, s27, s34, s38, s45, s46, s56\}$ & 3 & no  & 18 \\
$\{s12, s14, s23, s25, s34, s37, s45, s48, s56, s67\}$ & 3 & no  & 18 \\
$\{s12, s14, s23, s25, s34, s38, s45, s46, s57, s67\}$ & 3 & no  & 18 \\
$\{s12, s13, s14, s23, s24, s34, s35, s45, s56, s67, s78\}$ & 3 & no  & 17 \\
$\{s12, s13, s14, s23, s24, s34, s35, s45, s56, s67, s68\}$ & 3 & no  & 17 \\
$\{s12, s13, s14, s23, s24, s34, s36, s45, s56, s57, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s14, s23, s24, s34, s36, s45, s56, s67, s78\}$ & 3 & no  & 17 \\
$\{s12, s13, s14, s23, s24, s34, s36, s45, s56, s67, s68\}$ & 3 & no  & 17 \\
$\{s12, s13, s14, s23, s24, s34, s36, s45, s56, s58, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s17, s23, s24, s34, s35, s45, s46, s56, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s23, s24, s34, s35, s45, s46, s56, s67, s78\}$ & 3 & no  & 17 \\
$\{s12, s13, s23, s24, s34, s35, s45, s46, s56, s67, s68\}$ & 3 & no  & 17 \\
$\{s12, s13, s18, s23, s24, s34, s35, s45, s46, s56, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s56, s57, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s47, s56, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s56, s57, s78\}$ & 3 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s56, s57, s68\}$ & 3 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s28, s34, s35, s45, s56, s57\}$ & 3 & no  & 17 \\
$\{s12, s13, s16, s18, s23, s24, s34, s35, s45, s56, s57\}$ & 3 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s47, s56, s78\}$ & 3 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s47, s56, s68\}$ & 3 & no  & 17 \\
$\{s12, s13, s23, s24, s34, s35, s45, s47, s56, s67, s78\}$ & 3 & no  & 17 \\
$\{s12, s13, s23, s24, s34, s35, s45, s47, s56, s67, s68\}$ & 3 & no  & 17 \\
$\{s12, s13, s18, s23, s24, s34, s35, s45, s47, s56, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s18, s23, s24, s27, s34, s35, s45, s56, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s17, s23, s24, s34, s35, s45, s48, s56, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s15, s17, s23, s24, s34, s45, s46, s56, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s45, s46, s56, s67, s78\}$ & 3 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s45, s46, s56, s67, s68\}$ & 3 & no  & 17 \\
$\{s12, s13, s15, s17, s23, s24, s34, s45, s46, s56, s78\}$ & 3 & no  & 17 \\
$\{s12, s13, s15, s17, s23, s24, s34, s45, s46, s56, s68\}$ & 3 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s45, s46, s57, s67, s78\}$ & 3 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s45, s46, s57, s67, s68\}$ & 3 & no  & 17 \\
$\{s12, s13, s15, s18, s23, s24, s34, s45, s46, s57, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s15, s17, s23, s24, s34, s45, s46, s58, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s45, s46, s58, s67, s78\}$ & 3 & no  & 17 \\
$\{s12, s13, s23, s24, s25, s34, s35, s47, s56, s67, s78\}$ & 3 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s34, s38, s45, s47, s56, s78\}$ & 3 & no  & 17 \\
$\{s12, s13, s23, s24, s28, s34, s38, s45, s56, s57, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s23, s24, s34, s38, s45, s46, s57, s67, s68\}$ & 3 & no  & 17 \\
$\{s12, s13, s23, s24, s34, s36, s45, s48, s57, s67, s68\}$ & 3 & no  & 17 \\
$\{s12, s13, s23, s24, s28, s34, s36, s45, s57, s67, s68\}$ & 3 & no  & 17 \\
$\{s12, s13, s18, s23, s24, s28, s34, s36, s45, s57, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s28, s34, s38, s45, s57, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s23, s24, s34, s35, s46, s47, s56, s67, s78\}$ & 3 & no  & 17 \\
$\{s12, s13, s23, s24, s34, s35, s46, s47, s56, s67, s68\}$ & 3 & no  & 17 \\
$\{s12, s13, s23, s24, s34, s35, s46, s47, s56, s58, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s18, s23, s24, s34, s35, s46, s47, s56, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s18, s23, s24, s27, s34, s35, s46, s56, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s17, s23, s24, s34, s35, s46, s48, s56, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s17, s23, s24, s28, s34, s35, s46, s56, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s23, s24, s27, s34, s35, s46, s56, s57, s78\}$ & 3 & no  & 17 \\
$\{s12, s13, s23, s24, s27, s34, s35, s46, s56, s57, s68\}$ & 3 & no  & 17 \\
$\{s12, s13, s23, s24, s27, s34, s35, s46, s56, s57, s58\}$ & 3 & no  & 17 \\
$\{s12, s13, s17, s23, s24, s34, s35, s46, s56, s57, s58\}$ & 3 & no  & 17 \\
$\{s12, s13, s17, s23, s24, s34, s35, s46, s48, s56, s57\}$ & 3 & no  & 17 \\
$\{s12, s13, s17, s23, s24, s28, s34, s35, s46, s56, s57\}$ & 3 & no  & 17 \\
$\{s12, s13, s17, s23, s24, s28, s34, s35, s46, s56, s78\}$ & 3 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s34, s45, s46, s56, s57, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s34, s37, s45, s46, s56, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s16, s17, s23, s25, s34, s45, s46, s56, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s34, s45, s46, s56, s67, s78\}$ & 3 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s34, s45, s46, s56, s58, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s16, s18, s23, s25, s34, s45, s46, s56, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s23, s25, s34, s45, s46, s48, s56, s57, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s23, s25, s34, s37, s45, s46, s48, s56, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s23, s25, s34, s45, s46, s47, s56, s57, s78\}$ & 3 & no  & 17 \\
$\{s12, s13, s23, s25, s34, s37, s45, s46, s56, s57, s68\}$ & 3 & no  & 17 \\
$\{s12, s13, s23, s25, s27, s34, s45, s46, s56, s57, s78\}$ & 3 & no  & 17 \\
$\{s12, s13, s17, s23, s25, s26, s34, s45, s56, s67, s68\}$ & 3 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s28, s34, s37, s45, s56, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s27, s34, s45, s56, s67, s68\}$ & 3 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s27, s34, s45, s48, s56, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s27, s34, s38, s45, s56, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s16, s17, s23, s25, s28, s34, s45, s56, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s27, s34, s45, s56, s57, s68\}$ & 3 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s27, s34, s38, s45, s56, s57\}$ & 3 & no  & 17 \\
$\{s12, s13, s23, s25, s34, s45, s47, s48, s56, s58, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s23, s25, s34, s38, s45, s47, s56, s58, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s18, s23, s25, s34, s37, s45, s48, s56, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s23, s25, s27, s34, s45, s56, s58, s67, s68\}$ & 3 & no  & 17 \\
$\{s12, s13, s23, s25, s27, s34, s45, s48, s56, s58, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s28, s34, s45, s48, s57, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s34, s37, s45, s48, s67, s78\}$ & 3 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s28, s34, s37, s45, s67, s68\}$ & 3 & no  & 17 \\
$\{s12, s13, s16, s18, s23, s25, s34, s37, s45, s67, s68\}$ & 3 & no  & 17 \\
$\{s12, s14, s23, s25, s27, s34, s38, s45, s46, s56, s67\}$ & 3 & no  & 17 \\
$\{s12, s14, s23, s25, s34, s38, s45, s46, s57, s67, s78\}$ & 3 & no  & 17 \\
$\{s12, s14, s23, s27, s34, s36, s38, s45, s56, s67, s78\}$ & 3 & no  & 17 \\
$\{s12, s14, s23, s27, s34, s36, s38, s45, s56, s67, s68\}$ & 3 & no  & 17 \\
$\{s12, s14, s23, s26, s28, s34, s37, s38, s45, s56, s67\}$ & 3 & no  & 17 \\
$\{s12, s13, s14, s23, s24, s34, s35, s45, s56, s67, s68, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s14, s23, s24, s34, s36, s45, s56, s57, s67, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s14, s23, s24, s34, s36, s45, s56, s57, s67, s68\}$ & 3 & no  & 16 \\
$\{s12, s13, s14, s23, s24, s34, s36, s45, s56, s58, s67, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s14, s23, s24, s34, s38, s45, s56, s57, s58, s67\}$ & 3 & no  & 16 \\
$\{s12, s13, s17, s23, s24, s34, s35, s45, s46, s56, s67, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s17, s23, s24, s34, s35, s45, s46, s56, s67, s68\}$ & 3 & no  & 16 \\
$\{s12, s13, s18, s23, s24, s34, s35, s45, s46, s56, s67, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s56, s57, s67, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s56, s57, s67, s68\}$ & 3 & no  & 16 \\
$\{s12, s13, s16, s23, s24, s28, s34, s35, s45, s56, s57, s67\}$ & 3 & no  & 16 \\
$\{s12, s13, s16, s18, s23, s24, s34, s35, s45, s56, s57, s67\}$ & 3 & no  & 16 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s47, s56, s67, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s47, s56, s67, s68\}$ & 3 & no  & 16 \\
$\{s12, s13, s16, s18, s23, s24, s34, s35, s45, s47, s56, s67\}$ & 3 & no  & 16 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s56, s57, s68, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s47, s56, s68, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s18, s23, s24, s28, s34, s35, s45, s56, s57, s67\}$ & 3 & no  & 16 \\
$\{s12, s13, s23, s24, s34, s35, s45, s47, s56, s67, s68, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s18, s23, s24, s34, s35, s45, s47, s56, s67, s68\}$ & 3 & no  & 16 \\
$\{s12, s13, s18, s23, s24, s27, s34, s35, s45, s56, s67, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s18, s23, s24, s27, s34, s35, s45, s56, s67, s68\}$ & 3 & no  & 16 \\
$\{s12, s13, s18, s23, s24, s27, s34, s35, s45, s56, s58, s67\}$ & 3 & no  & 16 \\
$\{s12, s13, s17, s18, s23, s24, s34, s35, s45, s56, s58, s67\}$ & 3 & no  & 16 \\
$\{s12, s13, s15, s17, s23, s24, s34, s45, s46, s56, s67, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s15, s17, s23, s24, s34, s45, s46, s56, s67, s68\}$ & 3 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s45, s46, s56, s67, s68, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s15, s17, s23, s24, s34, s45, s46, s56, s68, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s45, s46, s57, s67, s68, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s15, s18, s23, s24, s34, s45, s46, s57, s67, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s15, s17, s23, s24, s34, s45, s46, s58, s67, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s23, s24, s34, s38, s45, s46, s56, s57, s67, s68\}$ & 3 & no  & 16 \\
$\{s12, s13, s16, s18, s23, s24, s34, s45, s48, s56, s57, s67\}$ & 3 & no  & 16 \\
$\{s12, s13, s23, s24, s34, s35, s46, s47, s56, s58, s67, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s18, s23, s24, s34, s35, s46, s47, s56, s67, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s18, s23, s24, s34, s35, s46, s47, s56, s67, s68\}$ & 3 & no  & 16 \\
$\{s12, s13, s18, s23, s24, s34, s35, s46, s47, s56, s58, s67\}$ & 3 & no  & 16 \\
$\{s12, s13, s18, s23, s24, s27, s34, s35, s46, s56, s67, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s18, s23, s24, s27, s34, s35, s46, s56, s67, s68\}$ & 3 & no  & 16 \\
$\{s12, s13, s17, s23, s24, s34, s35, s46, s48, s56, s67, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s17, s23, s24, s28, s34, s35, s46, s56, s67, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s17, s18, s23, s24, s34, s35, s46, s56, s58, s67\}$ & 3 & no  & 16 \\
$\{s12, s13, s17, s23, s24, s34, s35, s46, s56, s57, s58, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s34, s38, s45, s46, s56, s57, s67\}$ & 3 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s28, s34, s45, s46, s56, s57, s67\}$ & 3 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s34, s37, s45, s46, s56, s58, s67\}$ & 3 & no  & 16 \\
$\{s12, s13, s16, s17, s23, s25, s34, s45, s46, s56, s58, s67\}$ & 3 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s34, s38, s45, s46, s56, s67, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s18, s23, s25, s34, s37, s45, s46, s56, s67, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s23, s25, s34, s37, s45, s46, s48, s56, s67, s68\}$ & 3 & no  & 16 \\
$\{s12, s13, s23, s25, s34, s37, s45, s46, s48, s56, s58, s67\}$ & 3 & no  & 16 \\
$\{s12, s13, s18, s23, s25, s28, s34, s37, s45, s46, s56, s67\}$ & 3 & no  & 16 \\
$\{s12, s13, s17, s23, s25, s34, s45, s46, s48, s56, s58, s67\}$ & 3 & no  & 16 \\
$\{s12, s13, s17, s23, s25, s34, s38, s45, s46, s56, s58, s67\}$ & 3 & no  & 16 \\
$\{s12, s13, s23, s25, s27, s34, s45, s46, s56, s57, s68, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s23, s25, s27, s34, s45, s46, s48, s56, s57, s68\}$ & 3 & no  & 16 \\
$\{s12, s13, s17, s23, s25, s26, s34, s45, s56, s58, s67, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s34, s45, s47, s56, s57, s67, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s34, s45, s47, s56, s57, s67, s68\}$ & 3 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s28, s34, s45, s47, s56, s57, s67\}$ & 3 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s34, s37, s45, s47, s56, s67, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s34, s45, s47, s56, s58, s67, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s28, s34, s45, s47, s56, s67, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s34, s45, s47, s56, s58, s67, s68\}$ & 3 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s28, s34, s45, s47, s56, s67, s68\}$ & 3 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s34, s38, s45, s47, s56, s58, s67\}$ & 3 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s28, s34, s45, s47, s56, s58, s67\}$ & 3 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s28, s34, s38, s45, s47, s56, s67\}$ & 3 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s34, s37, s45, s48, s56, s67, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s28, s34, s37, s45, s56, s67, s68\}$ & 3 & no  & 16 \\
$\{s12, s13, s16, s18, s23, s25, s34, s37, s45, s56, s67, s68\}$ & 3 & no  & 16 \\
$\{s12, s13, s16, s17, s23, s25, s28, s34, s45, s56, s58, s67\}$ & 3 & no  & 16 \\
$\{s12, s13, s16, s17, s23, s25, s28, s34, s45, s48, s56, s67\}$ & 3 & no  & 16 \\
$\{s12, s14, s18, s23, s26, s34, s37, s45, s56, s58, s67, s78\}$ & 3 & no  & 16 \\
$\{s12, s13, s17, s23, s24, s34, s35, s45, s46, s56, s67, s68, s78\}$ & 3 & no  & 15 \\
$\{s12, s13, s17, s18, s23, s24, s34, s35, s45, s46, s56, s67, s68\}$ & 3 & no  & 15 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s56, s57, s67, s68, s78\}$ & 3 & no  & 15 \\
$\{s12, s13, s16, s23, s24, s28, s34, s35, s45, s56, s57, s67, s78\}$ & 3 & no  & 15 \\
$\{s12, s13, s16, s18, s23, s24, s34, s35, s45, s56, s57, s67, s78\}$ & 3 & no  & 15 \\
$\{s12, s13, s16, s23, s24, s28, s34, s35, s45, s56, s57, s67, s68\}$ & 3 & no  & 15 \\
$\{s12, s13, s16, s18, s23, s24, s34, s35, s45, s56, s57, s67, s68\}$ & 3 & no  & 15 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s47, s56, s67, s68, s78\}$ & 3 & no  & 15 \\
$\{s12, s13, s16, s18, s23, s24, s34, s35, s45, s47, s56, s67, s78\}$ & 3 & no  & 15 \\
$\{s12, s13, s15, s17, s23, s24, s34, s45, s46, s56, s67, s68, s78\}$ & 3 & no  & 15 \\
$\{s12, s13, s16, s23, s24, s34, s38, s45, s47, s56, s57, s67, s78\}$ & 3 & no  & 15 \\
$\{s12, s13, s16, s23, s24, s34, s38, s45, s48, s56, s57, s67, s78\}$ & 3 & no  & 15 \\
$\{s12, s13, s16, s23, s25, s28, s34, s38, s45, s46, s56, s57, s67\}$ & 3 & no  & 15 \\
$\{s12, s13, s16, s18, s23, s25, s28, s34, s45, s46, s56, s57, s67\}$ & 3 & no  & 15 \\
$\{s12, s13, s16, s17, s23, s25, s34, s38, s45, s46, s56, s58, s67\}$ & 3 & no  & 15 \\
$\{s12, s13, s16, s17, s23, s25, s28, s34, s45, s46, s56, s58, s67\}$ & 3 & no  & 15 \\
$\{s12, s13, s18, s23, s25, s28, s34, s45, s46, s56, s57, s67, s78\}$ & 3 & no  & 15 \\
$\{s12, s13, s17, s23, s25, s34, s38, s45, s46, s56, s67, s68, s78\}$ & 3 & no  & 15 \\
$\{s12, s13, s17, s23, s25, s28, s34, s45, s46, s56, s58, s67, s78\}$ & 3 & no  & 15 \\
$\{s12, s13, s16, s23, s25, s34, s38, s45, s47, s56, s57, s67, s78\}$ & 3 & no  & 15 \\
$\{s12, s13, s16, s23, s25, s34, s38, s45, s47, s56, s57, s67, s68\}$ & 3 & no  & 15 \\
$\{s12, s13, s16, s18, s23, s25, s34, s45, s47, s56, s57, s67, s68\}$ & 3 & no  & 15 \\
$\{s12, s13, s16, s23, s25, s28, s34, s38, s45, s47, s56, s57, s67\}$ & 3 & no  & 15 \\
$\{s12, s13, s16, s23, s25, s34, s37, s45, s47, s56, s67, s68, s78\}$ & 3 & no  & 15 \\
$\{s12, s13, s16, s23, s25, s34, s37, s45, s47, s56, s58, s67, s78\}$ & 3 & no  & 15 \\
$\{s12, s13, s16, s23, s25, s34, s37, s45, s47, s56, s58, s67, s68\}$ & 3 & no  & 15 \\
$\{s12, s13, s16, s23, s25, s34, s38, s45, s47, s56, s67, s68, s78\}$ & 3 & no  & 15 \\
$\{s12, s13, s16, s18, s23, s25, s34, s45, s47, s56, s67, s68, s78\}$ & 3 & no  & 15 \\
$\{s12, s13, s16, s18, s23, s25, s34, s38, s45, s47, s56, s67, s78\}$ & 3 & no  & 15 \\
$\{s12, s13, s14, s23, s24, s34, s36, s45, s56, s57, s58, s67, s68, s78\}$ & 3 & no  & 14 \\
$\{s12, s13, s16, s18, s23, s24, s34, s45, s47, s56, s57, s67, s68, s78\}$ & 3 & no  & 14 \\
$\{s12, s13, s16, s18, s23, s25, s34, s38, s45, s47, s56, s57, s67, s68\}$ & 3 & no  & 14 \\
$\{s12, s13, s14, s23, s24, s34, s35, s45\}$ & 4 & no  & 20 \\
$\{s12, s13, s14, s23, s24, s34, s36, s45\}$ & 4 & no  & 20 \\
$\{s12, s13, s15, s23, s24, s34, s35, s45\}$ & 4 & no  & 20 \\
$\{s12, s13, s23, s24, s34, s35, s45, s46\}$ & 4 & no  & 20 \\
$\{s12, s13, s15, s23, s24, s34, s45, s46\}$ & 4 & no  & 20 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45\}$ & 4 & no  & 20 \\
$\{s12, s13, s23, s24, s25, s34, s35, s56\}$ & 4 & no  & 20 \\
$\{s12, s13, s23, s24, s34, s37, s45, s46\}$ & 4 & no  & 20 \\
$\{s12, s13, s23, s24, s27, s34, s36, s45\}$ & 4 & no  & 20 \\
$\{s12, s13, s23, s24, s26, s34, s35, s56\}$ & 4 & no  & 20 \\
$\{s12, s13, s23, s25, s27, s34, s36, s45\}$ & 4 & no  & 20 \\
$\{s12, s13, s18, s23, s26, s27, s34, s35\}$ & 4 & no  & 20 \\
$\{s12, s14, s23, s25, s34, s45, s46, s56\}$ & 4 & no  & 20 \\
$\{s12, s14, s23, s25, s34, s36, s45, s56\}$ & 4 & no  & 20 \\
$\{s12, s14, s23, s25, s34, s45, s56, s57\}$ & 4 & no  & 20 \\
$\{s12, s14, s23, s25, s34, s45, s47, s56\}$ & 4 & no  & 20 \\
$\{s12, s14, s23, s34, s37, s38, s45, s46\}$ & 4 & no  & 20 \\
$\{s12, s13, s14, s23, s24, s34, s35, s45, s67\}$ & 4 & no  & 19 \\
$\{s12, s13, s14, s23, s24, s34, s36, s45, s67\}$ & 4 & no  & 19 \\
$\{s12, s13, s14, s23, s24, s34, s38, s45, s67\}$ & 4 & no  & 19 \\
$\{s12, s13, s15, s23, s24, s34, s35, s45, s67\}$ & 4 & no  & 19 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s56\}$ & 4 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s35, s45, s56, s57\}$ & 4 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s35, s45, s46, s67\}$ & 4 & no  & 19 \\
$\{s12, s13, s17, s23, s24, s34, s35, s45, s46\}$ & 4 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s35, s45, s48, s67\}$ & 4 & no  & 19 \\
$\{s12, s13, s15, s23, s24, s34, s45, s56, s57\}$ & 4 & no  & 19 \\
$\{s12, s13, s15, s23, s24, s34, s45, s46, s67\}$ & 4 & no  & 19 \\
$\{s12, s13, s15, s17, s23, s24, s34, s45, s46\}$ & 4 & no  & 19 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s67\}$ & 4 & no  & 19 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s57\}$ & 4 & no  & 19 \\
$\{s12, s13, s15, s23, s24, s34, s45, s48, s67\}$ & 4 & no  & 19 \\
$\{s12, s13, s15, s23, s24, s34, s38, s45, s67\}$ & 4 & no  & 19 \\
$\{s12, s13, s23, s24, s25, s34, s35, s56, s67\}$ & 4 & no  & 19 \\
$\{s12, s13, s23, s24, s25, s34, s35, s58, s67\}$ & 4 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s37, s45, s46, s56\}$ & 4 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s37, s45, s46, s78\}$ & 4 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s37, s45, s46, s68\}$ & 4 & no  & 19 \\
$\{s12, s13, s17, s23, s24, s34, s38, s45, s46\}$ & 4 & no  & 19 \\
$\{s12, s13, s23, s24, s28, s34, s36, s45, s67\}$ & 4 & no  & 19 \\
$\{s12, s13, s23, s24, s27, s34, s36, s45, s58\}$ & 4 & no  & 19 \\
$\{s12, s13, s23, s24, s27, s34, s35, s46, s56\}$ & 4 & no  & 19 \\
$\{s12, s13, s23, s24, s26, s34, s35, s56, s67\}$ & 4 & no  & 19 \\
$\{s12, s13, s23, s24, s26, s34, s35, s56, s78\}$ & 4 & no  & 19 \\
$\{s12, s13, s23, s34, s35, s45, s48, s56, s57\}$ & 4 & no  & 19 \\
$\{s12, s13, s23, s25, s26, s34, s45, s56, s57\}$ & 4 & no  & 19 \\
$\{s12, s13, s16, s23, s25, s27, s34, s45, s56\}$ & 4 & no  & 19 \\
$\{s12, s13, s23, s25, s28, s34, s45, s56, s57\}$ & 4 & no  & 19 \\
$\{s12, s13, s23, s25, s28, s34, s37, s45, s56\}$ & 4 & no  & 19 \\
$\{s12, s13, s23, s25, s28, s34, s36, s45, s67\}$ & 4 & no  & 19 \\
$\{s12, s13, s16, s17, s23, s25, s34, s38, s45\}$ & 4 & no  & 19 \\
$\{s12, s13, s23, s34, s36, s45, s56, s67, s68\}$ & 4 & no  & 19 \\
$\{s12, s14, s23, s25, s34, s45, s46, s56, s67\}$ & 4 & no  & 19 \\
$\{s12, s14, s23, s25, s27, s34, s45, s46, s56\}$ & 4 & no  & 19 \\
$\{s12, s14, s23, s25, s34, s45, s46, s56, s78\}$ & 4 & no  & 19 \\
$\{s12, s14, s23, s25, s34, s36, s45, s56, s67\}$ & 4 & no  & 19 \\
$\{s12, s14, s23, s25, s34, s36, s45, s56, s78\}$ & 4 & no  & 19 \\
$\{s12, s14, s23, s25, s34, s45, s56, s57, s67\}$ & 4 & no  & 19 \\
$\{s12, s14, s23, s25, s34, s45, s56, s58, s67\}$ & 4 & no  & 19 \\
$\{s12, s14, s23, s25, s34, s38, s45, s56, s57\}$ & 4 & no  & 19 \\
$\{s12, s14, s23, s25, s34, s45, s47, s56, s78\}$ & 4 & no  & 19 \\
$\{s12, s14, s23, s25, s34, s45, s47, s56, s68\}$ & 4 & no  & 19 \\
$\{s12, s14, s23, s25, s28, s34, s45, s47, s56\}$ & 4 & no  & 19 \\
$\{s12, s14, s18, s23, s25, s34, s37, s45, s56\}$ & 4 & no  & 19 \\
$\{s12, s14, s23, s25, s34, s45, s46, s57, s67\}$ & 4 & no  & 19 \\
$\{s12, s13, s14, s23, s24, s34, s35, s45, s67, s78\}$ & 4 & no  & 18 \\
$\{s12, s13, s14, s23, s24, s34, s36, s45, s57, s67\}$ & 4 & no  & 18 \\
$\{s12, s13, s14, s23, s24, s34, s36, s45, s67, s78\}$ & 4 & no  & 18 \\
$\{s12, s13, s14, s23, s24, s34, s36, s45, s67, s68\}$ & 4 & no  & 18 \\
$\{s12, s13, s14, s23, s24, s34, s36, s45, s58, s67\}$ & 4 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s35, s45, s67, s78\}$ & 4 & no  & 18 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s56, s67\}$ & 4 & no  & 18 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s56, s78\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s35, s45, s56, s57, s67\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s24, s27, s34, s35, s45, s56, s67\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s35, s45, s56, s57, s78\}$ & 4 & no  & 18 \\
$\{s12, s13, s18, s23, s24, s34, s35, s45, s56, s57\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s35, s45, s46, s67, s78\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s35, s45, s46, s67, s68\}$ & 4 & no  & 18 \\
$\{s12, s13, s18, s23, s24, s34, s35, s45, s46, s67\}$ & 4 & no  & 18 \\
$\{s12, s13, s17, s23, s24, s34, s35, s45, s46, s78\}$ & 4 & no  & 18 \\
$\{s12, s13, s17, s18, s23, s24, s34, s35, s45, s46\}$ & 4 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s45, s56, s57, s67\}$ & 4 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s45, s56, s57, s78\}$ & 4 & no  & 18 \\
$\{s12, s13, s15, s17, s23, s24, s34, s45, s46, s67\}$ & 4 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s45, s46, s67, s78\}$ & 4 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s45, s46, s67, s68\}$ & 4 & no  & 18 \\
$\{s12, s13, s15, s17, s23, s24, s34, s45, s46, s78\}$ & 4 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s57, s67\}$ & 4 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s67, s78\}$ & 4 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s67, s68\}$ & 4 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s58, s67\}$ & 4 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s57, s78\}$ & 4 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s57, s58\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s24, s25, s34, s35, s56, s67, s78\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s24, s25, s34, s35, s56, s67, s68\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s37, s45, s46, s56, s78\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s37, s45, s46, s56, s68\}$ & 4 & no  & 18 \\
$\{s12, s13, s18, s23, s24, s34, s37, s45, s46, s56\}$ & 4 & no  & 18 \\
$\{s12, s13, s16, s23, s24, s34, s37, s45, s48, s56\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s38, s45, s46, s57, s67\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s36, s45, s48, s57, s67\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s24, s28, s34, s36, s45, s57, s67\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s24, s27, s34, s35, s46, s56, s67\}$ & 4 & no  & 18 \\
$\{s12, s13, s17, s23, s24, s34, s35, s46, s56, s57\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s35, s46, s56, s57, s58\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s24, s27, s34, s35, s46, s56, s78\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s24, s27, s34, s35, s46, s56, s68\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s24, s27, s34, s35, s46, s56, s58\}$ & 4 & no  & 18 \\
$\{s12, s13, s17, s23, s24, s34, s35, s46, s56, s58\}$ & 4 & no  & 18 \\
$\{s12, s13, s17, s18, s23, s24, s34, s35, s46, s56\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s24, s26, s34, s35, s56, s67, s78\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s24, s26, s34, s35, s56, s67, s68\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s24, s26, s34, s35, s56, s58, s67\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s24, s26, s34, s35, s48, s57, s67\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s34, s35, s45, s48, s56, s57, s67\}$ & 4 & no  & 18 \\
$\{s12, s13, s16, s23, s25, s34, s45, s46, s56, s67\}$ & 4 & no  & 18 \\
$\{s12, s13, s16, s23, s25, s34, s45, s46, s56, s78\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s25, s34, s45, s46, s47, s56, s57\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s25, s27, s34, s45, s46, s56, s57\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s25, s34, s45, s46, s48, s56, s57\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s25, s28, s34, s45, s46, s56, s57\}$ & 4 & no  & 18 \\
$\{s12, s13, s17, s23, s25, s26, s34, s45, s56, s67\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s25, s26, s34, s45, s56, s67, s68\}$ & 4 & no  & 18 \\
$\{s12, s13, s18, s23, s25, s26, s34, s45, s56, s67\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s25, s26, s34, s45, s56, s57, s78\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s25, s26, s34, s45, s48, s56, s57\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s25, s26, s34, s38, s45, s56, s57\}$ & 4 & no  & 18 \\
$\{s12, s13, s18, s23, s25, s26, s34, s45, s56, s57\}$ & 4 & no  & 18 \\
$\{s12, s13, s16, s23, s25, s28, s34, s45, s56, s67\}$ & 4 & no  & 18 \\
$\{s12, s13, s16, s18, s23, s25, s34, s37, s45, s56\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s25, s28, s34, s45, s56, s57, s67\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s25, s28, s34, s37, s45, s56, s67\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s25, s27, s34, s45, s56, s67, s78\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s25, s27, s34, s38, s45, s56, s67\}$ & 4 & no  & 18 \\
$\{s12, s13, s18, s23, s25, s27, s34, s45, s56, s67\}$ & 4 & no  & 18 \\
$\{s12, s13, s16, s23, s25, s34, s37, s45, s67, s78\}$ & 4 & no  & 18 \\
$\{s12, s13, s16, s17, s23, s25, s34, s38, s45, s67\}$ & 4 & no  & 18 \\
$\{s12, s13, s23, s34, s38, s45, s46, s47, s56, s78\}$ & 4 & no  & 18 \\
$\{s12, s14, s23, s25, s27, s34, s45, s46, s56, s67\}$ & 4 & no  & 18 \\
$\{s12, s14, s23, s25, s34, s45, s46, s56, s67, s78\}$ & 4 & no  & 18 \\
$\{s12, s14, s23, s25, s34, s45, s46, s56, s67, s68\}$ & 4 & no  & 18 \\
$\{s12, s14, s23, s25, s27, s34, s45, s46, s56, s78\}$ & 4 & no  & 18 \\
$\{s12, s14, s23, s25, s27, s34, s45, s46, s56, s68\}$ & 4 & no  & 18 \\
$\{s12, s14, s17, s23, s25, s34, s36, s45, s56, s67\}$ & 4 & no  & 18 \\
$\{s12, s14, s23, s25, s34, s36, s45, s56, s67, s78\}$ & 4 & no  & 18 \\
$\{s12, s14, s23, s25, s34, s36, s45, s56, s67, s68\}$ & 4 & no  & 18 \\
$\{s12, s14, s18, s23, s25, s34, s36, s45, s56, s67\}$ & 4 & no  & 18 \\
$\{s12, s14, s23, s25, s34, s45, s56, s57, s67, s78\}$ & 4 & no  & 18 \\
$\{s12, s14, s23, s25, s34, s38, s45, s56, s57, s67\}$ & 4 & no  & 18 \\
$\{s12, s14, s23, s25, s34, s37, s45, s56, s58, s67\}$ & 4 & no  & 18 \\
$\{s12, s14, s18, s23, s25, s34, s37, s45, s56, s67\}$ & 4 & no  & 18 \\
$\{s12, s14, s23, s25, s34, s45, s46, s57, s67, s78\}$ & 4 & no  & 18 \\
$\{s12, s14, s23, s25, s34, s45, s46, s57, s67, s68\}$ & 4 & no  & 18 \\
$\{s12, s14, s23, s25, s28, s34, s45, s46, s57, s67\}$ & 4 & no  & 18 \\
$\{s12, s14, s23, s25, s27, s34, s45, s46, s58, s67\}$ & 4 & no  & 18 \\
$\{s12, s14, s23, s27, s34, s36, s38, s45, s56, s67\}$ & 4 & no  & 18 \\
$\{s12, s14, s23, s34, s45, s47, s56, s58, s67, s78\}$ & 4 & no  & 18 \\
$\{s12, s14, s23, s34, s38, s45, s47, s56, s67, s78\}$ & 4 & no  & 18 \\
$\{s12, s14, s23, s34, s36, s38, s45, s48, s57, s67\}$ & 4 & no  & 18 \\
$\{s12, s14, s23, s28, s34, s36, s45, s48, s57, s67\}$ & 4 & no  & 18 \\
$\{s12, s13, s14, s23, s24, s34, s38, s45, s56, s57, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s14, s23, s24, s34, s38, s45, s56, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s13, s14, s23, s24, s34, s36, s45, s57, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s13, s14, s23, s24, s34, s36, s45, s57, s67, s68\}$ & 4 & no  & 17 \\
$\{s12, s13, s14, s23, s24, s34, s38, s48, s56, s57, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s35, s45, s67, s68, s78\}$ & 4 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s56, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s56, s67, s68\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s24, s34, s35, s45, s56, s57, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s24, s28, s34, s35, s45, s56, s57, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s18, s23, s24, s34, s35, s45, s56, s57, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s24, s27, s34, s35, s45, s56, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s24, s27, s34, s35, s45, s56, s67, s68\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s24, s27, s34, s35, s45, s56, s58, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s17, s23, s24, s34, s35, s45, s56, s58, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s45, s56, s57, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s38, s45, s56, s57, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s45, s56, s58, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s13, s15, s17, s23, s24, s34, s45, s46, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s57, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s57, s67, s68\}$ & 4 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s57, s58, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s58, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s24, s34, s45, s46, s56, s57, s67, s68\}$ & 4 & no  & 17 \\
$\{s12, s13, s17, s23, s24, s34, s38, s45, s46, s56, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s17, s23, s24, s34, s38, s45, s46, s56, s78\}$ & 4 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s34, s38, s45, s47, s56, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s24, s34, s38, s45, s48, s56, s57, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s18, s23, s24, s34, s45, s48, s56, s57, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s24, s34, s45, s46, s57, s58, s67, s68\}$ & 4 & no  & 17 \\
$\{s12, s13, s18, s23, s24, s34, s38, s45, s46, s57, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s24, s34, s36, s45, s48, s57, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s13, s18, s23, s24, s34, s36, s45, s57, s67, s68\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s24, s34, s36, s45, s48, s57, s58, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s24, s28, s34, s36, s45, s57, s58, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s34, s38, s45, s48, s57, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s16, s18, s23, s24, s34, s45, s48, s57, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s24, s27, s34, s35, s46, s56, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s24, s27, s34, s35, s46, s56, s67, s68\}$ & 4 & no  & 17 \\
$\{s12, s13, s17, s23, s24, s34, s35, s46, s56, s58, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s17, s18, s23, s24, s34, s35, s46, s56, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s17, s23, s24, s34, s35, s46, s56, s57, s78\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s24, s34, s35, s48, s56, s57, s58, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s18, s23, s24, s34, s35, s48, s56, s57, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s24, s26, s34, s35, s48, s57, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s24, s26, s34, s35, s48, s57, s67, s68\}$ & 4 & no  & 17 \\
$\{s12, s13, s18, s23, s27, s34, s35, s45, s48, s56, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s34, s38, s45, s46, s56, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s25, s34, s45, s46, s56, s57, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s25, s34, s45, s46, s56, s57, s67, s68\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s25, s28, s34, s45, s46, s56, s57, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s25, s34, s37, s45, s46, s56, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s25, s28, s34, s37, s45, s46, s56, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s18, s23, s25, s34, s37, s45, s46, s56, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s25, s34, s38, s45, s46, s47, s56, s57\}$ & 4 & no  & 17 \\
$\{s12, s13, s18, s23, s25, s34, s45, s46, s47, s56, s57\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s25, s27, s34, s45, s46, s56, s57, s68\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s25, s27, s34, s45, s46, s48, s56, s57\}$ & 4 & no  & 17 \\
$\{s12, s13, s17, s23, s25, s26, s34, s45, s56, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s34, s45, s47, s56, s57, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s34, s37, s45, s47, s56, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s34, s45, s47, s56, s58, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s28, s34, s45, s47, s56, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s34, s37, s45, s56, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s13, s16, s17, s23, s25, s34, s45, s56, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s13, s16, s17, s23, s25, s34, s45, s56, s67, s68\}$ & 4 & no  & 17 \\
$\{s12, s13, s16, s17, s23, s25, s34, s38, s45, s56, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s25, s28, s34, s38, s45, s56, s57, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s25, s34, s45, s47, s56, s58, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s25, s34, s45, s47, s48, s56, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s25, s28, s34, s45, s47, s56, s58, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s18, s23, s25, s34, s45, s47, s56, s58, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s25, s28, s34, s38, s45, s47, s56, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s18, s23, s25, s34, s37, s45, s56, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s25, s28, s34, s37, s45, s56, s58, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s25, s27, s34, s45, s48, s56, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s13, s18, s23, s25, s27, s34, s45, s48, s56, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s28, s34, s45, s57, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s34, s38, s45, s57, s58, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s28, s34, s45, s57, s58, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s34, s37, s45, s67, s68, s78\}$ & 4 & no  & 17 \\
$\{s12, s13, s16, s17, s23, s25, s34, s38, s45, s58, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s16, s17, s23, s25, s28, s34, s45, s58, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s23, s27, s28, s34, s36, s45, s56, s57, s68\}$ & 4 & no  & 17 \\
$\{s12, s14, s23, s25, s27, s34, s45, s46, s56, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s14, s23, s25, s27, s34, s45, s46, s56, s67, s68\}$ & 4 & no  & 17 \\
$\{s12, s14, s17, s23, s25, s34, s36, s45, s56, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s14, s17, s23, s25, s34, s36, s45, s56, s67, s68\}$ & 4 & no  & 17 \\
$\{s12, s14, s18, s23, s25, s34, s36, s45, s56, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s14, s18, s23, s25, s34, s38, s45, s56, s57, s67\}$ & 4 & no  & 17 \\
$\{s12, s14, s23, s25, s34, s37, s45, s56, s58, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s14, s23, s25, s34, s37, s38, s45, s56, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s14, s18, s23, s25, s34, s37, s45, s56, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s14, s23, s25, s28, s34, s45, s46, s57, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s14, s23, s25, s27, s34, s45, s46, s58, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s14, s18, s23, s26, s34, s37, s45, s56, s67, s78\}$ & 4 & no  & 17 \\
$\{s12, s14, s23, s26, s34, s37, s38, s45, s56, s58, s67\}$ & 4 & no  & 17 \\
$\{s12, s13, s14, s23, s24, s34, s36, s45, s57, s67, s68, s78\}$ & 4 & no  & 16 \\
$\{s12, s13, s14, s23, s24, s34, s36, s45, s57, s58, s67, s68\}$ & 4 & no  & 16 \\
$\{s12, s13, s16, s23, s24, s34, s35, s45, s56, s67, s68, s78\}$ & 4 & no  & 16 \\
$\{s12, s13, s23, s24, s34, s35, s45, s56, s57, s67, s68, s78\}$ & 4 & no  & 16 \\
$\{s12, s13, s23, s24, s28, s34, s35, s45, s56, s57, s67, s78\}$ & 4 & no  & 16 \\
$\{s12, s13, s18, s23, s24, s34, s35, s45, s56, s57, s67, s78\}$ & 4 & no  & 16 \\
$\{s12, s13, s23, s24, s27, s34, s35, s45, s56, s58, s67, s78\}$ & 4 & no  & 16 \\
$\{s12, s13, s17, s23, s24, s34, s35, s45, s56, s58, s67, s78\}$ & 4 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s45, s56, s57, s67, s68, s78\}$ & 4 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s57, s67, s68, s78\}$ & 4 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s57, s58, s67, s78\}$ & 4 & no  & 16 \\
$\{s12, s13, s15, s23, s24, s34, s36, s45, s57, s58, s67, s68\}$ & 4 & no  & 16 \\
$\{s12, s13, s23, s24, s34, s38, s45, s46, s56, s57, s67, s78\}$ & 4 & no  & 16 \\
$\{s12, s13, s16, s23, s24, s34, s45, s47, s56, s57, s67, s78\}$ & 4 & no  & 16 \\
$\{s12, s13, s16, s23, s24, s34, s38, s45, s48, s56, s57, s67\}$ & 4 & no  & 16 \\
$\{s12, s13, s16, s18, s23, s24, s34, s45, s48, s56, s57, s67\}$ & 4 & no  & 16 \\
$\{s12, s13, s16, s23, s24, s34, s45, s47, s56, s58, s67, s78\}$ & 4 & no  & 16 \\
$\{s12, s13, s17, s23, s24, s34, s35, s46, s56, s58, s67, s78\}$ & 4 & no  & 16 \\
$\{s12, s13, s17, s18, s23, s24, s34, s35, s46, s56, s67, s78\}$ & 4 & no  & 16 \\
$\{s12, s13, s17, s23, s24, s34, s35, s46, s56, s58, s67, s68\}$ & 4 & no  & 16 \\
$\{s12, s13, s17, s18, s23, s24, s34, s35, s46, s56, s67, s68\}$ & 4 & no  & 16 \\
$\{s12, s13, s17, s23, s24, s34, s35, s46, s56, s57, s68, s78\}$ & 4 & no  & 16 \\
$\{s12, s13, s18, s23, s25, s34, s45, s46, s56, s57, s67, s78\}$ & 4 & no  & 16 \\
$\{s12, s13, s18, s23, s25, s28, s34, s45, s46, s56, s57, s67\}$ & 4 & no  & 16 \\
$\{s12, s13, s23, s25, s34, s37, s45, s46, s56, s58, s67, s68\}$ & 4 & no  & 16 \\
$\{s12, s13, s23, s25, s28, s34, s37, s45, s46, s56, s67, s68\}$ & 4 & no  & 16 \\
$\{s12, s13, s23, s25, s28, s34, s37, s45, s46, s56, s58, s67\}$ & 4 & no  & 16 \\
$\{s12, s13, s18, s23, s25, s34, s37, s45, s46, s56, s58, s67\}$ & 4 & no  & 16 \\
$\{s12, s13, s17, s23, s25, s34, s45, s46, s56, s58, s67, s78\}$ & 4 & no  & 16 \\
$\{s12, s13, s17, s23, s25, s34, s45, s46, s56, s58, s67, s68\}$ & 4 & no  & 16 \\
$\{s12, s13, s17, s23, s25, s34, s38, s45, s46, s56, s67, s68\}$ & 4 & no  & 16 \\
$\{s12, s13, s17, s23, s25, s28, s34, s45, s46, s56, s58, s67\}$ & 4 & no  & 16 \\
$\{s12, s13, s23, s25, s28, s34, s38, s45, s46, s47, s56, s57\}$ & 4 & no  & 16 \\
$\{s12, s13, s18, s23, s25, s34, s38, s45, s46, s47, s56, s57\}$ & 4 & no  & 16 \\
$\{s12, s13, s23, s25, s27, s34, s38, s45, s46, s48, s56, s57\}$ & 4 & no  & 16 \\
$\{s12, s13, s17, s23, s25, s26, s34, s45, s48, s56, s67, s78\}$ & 4 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s34, s38, s45, s47, s56, s57, s67\}$ & 4 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s34, s37, s45, s47, s56, s67, s68\}$ & 4 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s34, s45, s47, s56, s67, s68, s78\}$ & 4 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s34, s38, s45, s47, s56, s67, s78\}$ & 4 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s34, s45, s47, s48, s56, s67, s68\}$ & 4 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s34, s38, s45, s47, s56, s67, s68\}$ & 4 & no  & 16 \\
$\{s12, s13, s16, s18, s23, s25, s34, s45, s47, s56, s67, s68\}$ & 4 & no  & 16 \\
$\{s12, s13, s16, s18, s23, s25, s34, s38, s45, s47, s56, s67\}$ & 4 & no  & 16 \\
$\{s12, s13, s16, s23, s25, s34, s37, s45, s56, s67, s68, s78\}$ & 4 & no  & 16 \\
$\{s12, s13, s16, s17, s23, s25, s34, s45, s56, s58, s67, s78\}$ & 4 & no  & 16 \\
$\{s12, s13, s16, s17, s23, s25, s34, s45, s48, s56, s67, s78\}$ & 4 & no  & 16 \\
$\{s12, s13, s16, s17, s23, s25, s34, s45, s48, s56, s58, s67\}$ & 4 & no  & 16 \\
$\{s12, s13, s16, s17, s23, s25, s34, s38, s45, s48, s56, s67\}$ & 4 & no  & 16 \\
$\{s12, s13, s17, s23, s25, s34, s46, s48, s56, s58, s67, s78\}$ & 4 & no  & 16 \\
$\{s12, s14, s23, s25, s27, s34, s45, s46, s56, s67, s68, s78\}$ & 4 & no  & 16 \\
$\{s12, s14, s17, s23, s25, s34, s36, s45, s56, s67, s68, s78\}$ & 4 & no  & 16 \\
$\{s12, s14, s17, s18, s23, s25, s34, s36, s45, s56, s67, s68\}$ & 4 & no  & 16 \\
$\{s12, s13, s16, s23, s24, s34, s45, s47, s56, s57, s67, s68, s78\}$ & 4 & no  & 15 \\
$\{s12, s13, s16, s18, s23, s24, s34, s45, s47, s56, s57, s67, s78\}$ & 4 & no  & 15 \\
$\{s12, s13, s16, s18, s23, s24, s34, s45, s47, s56, s57, s67, s68\}$ & 4 & no  & 15 \\
$\{s12, s13, s16, s23, s24, s34, s45, s48, s56, s57, s67, s68, s78\}$ & 4 & no  & 15 \\
$\{s12, s13, s16, s23, s24, s34, s38, s45, s56, s57, s67, s68, s78\}$ & 4 & no  & 15 \\
$\{s12, s13, s16, s18, s23, s24, s34, s45, s56, s57, s67, s68, s78\}$ & 4 & no  & 15 \\
$\{s12, s13, s17, s18, s23, s25, s34, s45, s46, s56, s67, s68, s78\}$ & 4 & no  & 15 \\
$\{s12, s13, s16, s18, s23, s25, s34, s38, s45, s47, s56, s57, s67\}$ & 4 & no  & 15 \\
$\{s12, s14, s17, s18, s23, s25, s34, s36, s45, s56, s67, s68, s78\}$ & 4 & no  & 15 \\
$\{s12, s13, s17, s23, s24, s34, s35, s45, s56\}$ & 5 & no  & 19 \\
$\{s12, s13, s16, s23, s24, s34, s37, s45, s78\}$ & 5 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s35, s46, s56, s57\}$ & 5 & no  & 19 \\
$\{s12, s13, s17, s23, s24, s34, s35, s46, s56\}$ & 5 & no  & 19 \\
$\{s12, s13, s16, s23, s25, s34, s45, s46, s56\}$ & 5 & no  & 19 \\
$\{s12, s13, s23, s25, s26, s34, s45, s56, s67\}$ & 5 & no  & 19 \\
$\{s12, s13, s23, s25, s27, s34, s45, s56, s67\}$ & 5 & no  & 19 \\
$\{s12, s13, s17, s23, s25, s28, s34, s45, s56\}$ & 5 & no  & 19 \\
$\{s12, s13, s23, s25, s34, s36, s45, s48, s67\}$ & 5 & no  & 19 \\
$\{s12, s13, s18, s23, s25, s34, s36, s45, s67\}$ & 5 & no  & 19 \\
$\{s12, s13, s16, s23, s25, s34, s37, s45, s67\}$ & 5 & no  & 19 \\
$\{s12, s13, s23, s34, s36, s45, s48, s56, s67\}$ & 5 & no  & 19 \\
$\{s12, s14, s23, s34, s36, s38, s45, s56, s67\}$ & 5 & no  & 19 \\
$\{s12, s14, s23, s34, s36, s45, s47, s56, s78\}$ & 5 & no  & 19 \\
$\{s12, s13, s14, s23, s24, s34, s45, s56, s57, s58\}$ & 5 & no  & 18 \\
$\{s12, s13, s17, s23, s24, s34, s35, s45, s56, s67\}$ & 5 & no  & 18 \\
$\{s12, s13, s18, s23, s24, s34, s35, s45, s56, s67\}$ & 5 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s45, s46, s56, s57, s67\}$ & 5 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s45, s46, s56, s67, s68\}$ & 5 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s45, s46, s56, s58, s67\}$ & 5 & no  & 18 \\
$\{s12, s13, s16, s23, s24, s34, s37, s45, s56, s78\}$ & 5 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s45, s46, s57, s67, s68\}$ & 5 & no  & 18 \\
$\{s12, s13, s18, s23, s24, s34, s36, s45, s57, s67\}$ & 5 & no  & 18 \\
$\{s12, s13, s17, s23, s24, s34, s35, s46, s56, s67\}$ & 5 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s35, s46, s56, s58, s67\}$ & 5 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s35, s46, s56, s57, s78\}$ & 5 & no  & 18 \\
$\{s12, s13, s17, s23, s24, s34, s35, s46, s56, s78\}$ & 5 & no  & 18 \\
$\{s12, s13, s17, s23, s24, s34, s35, s46, s56, s68\}$ & 5 & no  & 18 \\
$\{s12, s13, s23, s24, s28, s34, s38, s56, s57, s67\}$ & 5 & no  & 18 \\
$\{s12, s13, s23, s25, s34, s45, s46, s56, s57, s67\}$ & 5 & no  & 18 \\
$\{s12, s13, s23, s25, s34, s37, s45, s46, s56, s67\}$ & 5 & no  & 18 \\
$\{s12, s13, s23, s25, s34, s45, s46, s56, s58, s67\}$ & 5 & no  & 18 \\
$\{s12, s13, s23, s25, s34, s45, s46, s56, s57, s78\}$ & 5 & no  & 18 \\
$\{s12, s13, s23, s25, s26, s34, s45, s56, s67, s78\}$ & 5 & no  & 18 \\
$\{s12, s13, s23, s25, s26, s34, s45, s48, s56, s67\}$ & 5 & no  & 18 \\
$\{s12, s13, s16, s23, s25, s34, s37, s45, s56, s67\}$ & 5 & no  & 18 \\
$\{s12, s13, s16, s17, s23, s25, s34, s45, s56, s67\}$ & 5 & no  & 18 \\
$\{s12, s13, s16, s23, s25, s34, s45, s56, s58, s67\}$ & 5 & no  & 18 \\
$\{s12, s13, s16, s18, s23, s25, s34, s45, s56, s67\}$ & 5 & no  & 18 \\
$\{s12, s13, s16, s23, s25, s34, s45, s56, s57, s78\}$ & 5 & no  & 18 \\
$\{s12, s13, s16, s23, s25, s34, s37, s45, s56, s78\}$ & 5 & no  & 18 \\
$\{s12, s13, s23, s25, s34, s45, s48, s56, s57, s67\}$ & 5 & no  & 18 \\
$\{s12, s13, s23, s25, s34, s45, s47, s56, s58, s67\}$ & 5 & no  & 18 \\
$\{s12, s13, s23, s25, s34, s37, s45, s48, s56, s67\}$ & 5 & no  & 18 \\
$\{s12, s13, s18, s23, s25, s34, s37, s45, s56, s67\}$ & 5 & no  & 18 \\
$\{s12, s13, s23, s25, s27, s34, s45, s56, s67, s68\}$ & 5 & no  & 18 \\
$\{s12, s13, s23, s25, s27, s34, s45, s48, s56, s67\}$ & 5 & no  & 18 \\
$\{s12, s13, s18, s23, s25, s34, s36, s45, s67, s78\}$ & 5 & no  & 18 \\
$\{s12, s13, s16, s23, s25, s34, s45, s48, s57, s67\}$ & 5 & no  & 18 \\
$\{s12, s13, s16, s23, s25, s28, s34, s45, s57, s67\}$ & 5 & no  & 18 \\
$\{s12, s13, s16, s23, s25, s34, s37, s45, s67, s68\}$ & 5 & no  & 18 \\
$\{s12, s14, s23, s26, s34, s37, s38, s45, s56, s67\}$ & 5 & no  & 18 \\
$\{s12, s14, s18, s23, s26, s34, s37, s45, s56, s78\}$ & 5 & no  & 18 \\
$\{s12, s14, s23, s34, s36, s45, s48, s57, s67, s68\}$ & 5 & no  & 18 \\
$\{s12, s14, s18, s23, s34, s36, s45, s48, s57, s67\}$ & 5 & no  & 18 \\
$\{s12, s15, s18, s23, s34, s45, s48, s56, s57, s67\}$ & 5 & no  & 18 \\
$\{s12, s13, s14, s23, s24, s34, s45, s56, s57, s58, s67\}$ & 5 & no  & 17 \\
$\{s12, s13, s17, s23, s24, s34, s35, s45, s56, s67, s78\}$ & 5 & no  & 17 \\
$\{s12, s13, s18, s23, s24, s34, s35, s45, s56, s67, s78\}$ & 5 & no  & 17 \\
$\{s12, s13, s23, s24, s34, s45, s46, s56, s57, s67, s78\}$ & 5 & no  & 17 \\
$\{s12, s13, s17, s23, s24, s34, s45, s46, s56, s67, s68\}$ & 5 & no  & 17 \\
$\{s12, s13, s17, s23, s24, s34, s45, s46, s56, s58, s67\}$ & 5 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s34, s45, s47, s56, s57, s67\}$ & 5 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s34, s45, s47, s56, s67, s78\}$ & 5 & no  & 17 \\
$\{s12, s13, s23, s24, s34, s45, s48, s56, s57, s67, s78\}$ & 5 & no  & 17 \\
$\{s12, s13, s23, s24, s34, s45, s48, s56, s57, s58, s67\}$ & 5 & no  & 17 \\
$\{s12, s13, s18, s23, s24, s34, s45, s46, s57, s67, s68\}$ & 5 & no  & 17 \\
$\{s12, s13, s18, s23, s24, s34, s36, s45, s57, s58, s67\}$ & 5 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s34, s38, s45, s57, s67, s78\}$ & 5 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s34, s38, s45, s57, s67, s68\}$ & 5 & no  & 17 \\
$\{s12, s13, s17, s23, s24, s34, s35, s46, s56, s67, s78\}$ & 5 & no  & 17 \\
$\{s12, s13, s17, s23, s24, s34, s35, s46, s56, s67, s68\}$ & 5 & no  & 17 \\
$\{s12, s13, s23, s25, s34, s38, s45, s46, s56, s57, s67\}$ & 5 & no  & 17 \\
$\{s12, s13, s18, s23, s25, s34, s45, s46, s56, s57, s67\}$ & 5 & no  & 17 \\
$\{s12, s13, s23, s25, s34, s37, s45, s46, s56, s67, s68\}$ & 5 & no  & 17 \\
$\{s12, s13, s23, s25, s34, s37, s45, s46, s56, s58, s67\}$ & 5 & no  & 17 \\
$\{s12, s13, s17, s23, s25, s34, s45, s46, s56, s58, s67\}$ & 5 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s34, s45, s47, s56, s67, s78\}$ & 5 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s34, s45, s47, s56, s67, s68\}$ & 5 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s34, s38, s45, s47, s56, s67\}$ & 5 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s34, s37, s45, s56, s67, s68\}$ & 5 & no  & 17 \\
$\{s12, s13, s16, s17, s23, s25, s34, s45, s56, s58, s67\}$ & 5 & no  & 17 \\
$\{s12, s13, s16, s17, s23, s25, s34, s45, s48, s56, s67\}$ & 5 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s34, s45, s48, s56, s67, s78\}$ & 5 & no  & 17 \\
$\{s12, s13, s23, s25, s34, s38, s45, s48, s56, s57, s67\}$ & 5 & no  & 17 \\
$\{s12, s13, s18, s23, s25, s34, s45, s48, s56, s57, s67\}$ & 5 & no  & 17 \\
$\{s12, s13, s23, s25, s34, s38, s45, s47, s56, s67, s78\}$ & 5 & no  & 17 \\
$\{s12, s13, s23, s25, s28, s34, s45, s47, s56, s67, s78\}$ & 5 & no  & 17 \\
$\{s12, s13, s18, s23, s25, s34, s38, s45, s47, s56, s67\}$ & 5 & no  & 17 \\
$\{s12, s13, s23, s25, s34, s37, s45, s48, s56, s58, s67\}$ & 5 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s34, s38, s45, s57, s67, s78\}$ & 5 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s34, s38, s45, s57, s67, s68\}$ & 5 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s34, s45, s48, s57, s58, s67\}$ & 5 & no  & 17 \\
$\{s12, s13, s16, s18, s23, s25, s34, s45, s57, s58, s67\}$ & 5 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s34, s38, s45, s48, s57, s67\}$ & 5 & no  & 17 \\
$\{s12, s13, s16, s18, s23, s25, s34, s45, s48, s57, s67\}$ & 5 & no  & 17 \\
$\{s12, s13, s16, s17, s23, s25, s34, s45, s67, s68, s78\}$ & 5 & no  & 17 \\
$\{s12, s14, s23, s27, s34, s36, s45, s48, s56, s67, s78\}$ & 5 & no  & 17 \\
$\{s12, s14, s23, s26, s34, s37, s45, s56, s58, s67, s78\}$ & 5 & no  & 17 \\
$\{s12, s13, s17, s23, s24, s34, s35, s45, s56, s67, s68, s78\}$ & 5 & no  & 16 \\
$\{s12, s13, s18, s23, s24, s34, s45, s46, s56, s57, s67, s78\}$ & 5 & no  & 16 \\
$\{s12, s13, s17, s23, s24, s34, s45, s46, s56, s58, s67, s78\}$ & 5 & no  & 16 \\
$\{s12, s13, s17, s18, s23, s24, s34, s45, s46, s56, s67, s78\}$ & 5 & no  & 16 \\
$\{s12, s13, s17, s18, s23, s24, s34, s45, s46, s56, s67, s68\}$ & 5 & no  & 16 \\
$\{s12, s13, s17, s18, s23, s24, s34, s45, s46, s56, s58, s67\}$ & 5 & no  & 16 \\
$\{s12, s13, s16, s23, s24, s34, s45, s47, s56, s57, s67, s68\}$ & 5 & no  & 16 \\
$\{s12, s13, s16, s23, s24, s34, s45, s48, s56, s57, s67, s78\}$ & 5 & no  & 16 \\
$\{s12, s13, s16, s23, s24, s34, s38, s45, s56, s57, s67, s78\}$ & 5 & no  & 16 \\
$\{s12, s13, s16, s23, s24, s34, s45, s48, s56, s57, s67, s68\}$ & 5 & no  & 16 \\
$\{s12, s13, s16, s23, s24, s34, s38, s45, s56, s57, s67, s68\}$ & 5 & no  & 16 \\
$\{s12, s13, s16, s18, s23, s24, s34, s45, s56, s57, s67, s68\}$ & 5 & no  & 16 \\
$\{s12, s13, s16, s18, s23, s24, s34, s45, s47, s56, s67, s78\}$ & 5 & no  & 16 \\
$\{s12, s13, s18, s23, s25, s34, s38, s45, s46, s56, s57, s67\}$ & 5 & no  & 16 \\
$\{s12, s13, s17, s23, s25, s34, s45, s46, s56, s67, s68, s78\}$ & 5 & no  & 16 \\
$\{s12, s13, s17, s18, s23, s25, s34, s45, s46, s56, s67, s68\}$ & 5 & no  & 16 \\
$\{s12, s13, s18, s23, s25, s34, s46, s48, s56, s57, s67, s78\}$ & 5 & no  & 16 \\
$\{s12, s14, s18, s23, s27, s34, s36, s45, s56, s58, s67, s78\}$ & 5 & no  & 16 \\
$\{s12, s13, s14, s23, s24, s34, s45, s56, s57, s58, s67, s68, s78\}$ & 5 & no  & 15 \\
$\{s12, s13, s23, s24, s25, s34, s35\}$ & 6 & no  & 21 \\
$\{s12, s13, s23, s24, s26, s34, s35\}$ & 6 & no  & 21 \\
$\{s12, s13, s23, s26, s27, s34, s35\}$ & 6 & no  & 21 \\
$\{s12, s14, s23, s25, s34, s45, s46\}$ & 6 & no  & 21 \\
$\{s12, s23, s24, s25, s56, s57, s58\}$ & 6 & no  & 21 \\
$\{s12, s13, s23, s24, s34, s35, s45, s56\}$ & 6 & no  & 20 \\
$\{s12, s13, s15, s23, s24, s34, s45, s56\}$ & 6 & no  & 20 \\
$\{s12, s13, s23, s24, s25, s34, s35, s67\}$ & 6 & no  & 20 \\
$\{s12, s13, s16, s23, s24, s34, s37, s45\}$ & 6 & no  & 20 \\
$\{s12, s13, s23, s24, s34, s35, s46, s56\}$ & 6 & no  & 20 \\
$\{s12, s13, s23, s24, s27, s34, s35, s56\}$ & 6 & no  & 20 \\
$\{s12, s13, s23, s24, s28, s34, s35, s67\}$ & 6 & no  & 20 \\
$\{s12, s13, s23, s34, s35, s45, s56, s57\}$ & 6 & no  & 20 \\
$\{s12, s13, s23, s25, s26, s34, s45, s56\}$ & 6 & no  & 20 \\
$\{s12, s13, s23, s25, s27, s34, s45, s56\}$ & 6 & no  & 20 \\
$\{s12, s13, s16, s23, s25, s34, s37, s45\}$ & 6 & no  & 20 \\
$\{s12, s13, s23, s34, s35, s56, s57, s58\}$ & 6 & no  & 20 \\
$\{s12, s13, s23, s26, s27, s34, s35, s78\}$ & 6 & no  & 20 \\
$\{s12, s14, s23, s25, s34, s37, s45, s56\}$ & 6 & no  & 20 \\
$\{s12, s14, s23, s25, s34, s45, s46, s67\}$ & 6 & no  & 20 \\
$\{s12, s14, s23, s25, s27, s34, s45, s46\}$ & 6 & no  & 20 \\
$\{s12, s14, s23, s25, s34, s45, s48, s67\}$ & 6 & no  & 20 \\
$\{s12, s14, s23, s34, s36, s45, s47, s56\}$ & 6 & no  & 20 \\
$\{s12, s14, s23, s26, s34, s37, s38, s45\}$ & 6 & no  & 20 \\
$\{s12, s13, s14, s23, s24, s34, s45, s56, s57\}$ & 6 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s35, s45, s56, s67\}$ & 6 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s35, s45, s58, s67\}$ & 6 & no  & 19 \\
$\{s12, s13, s15, s23, s24, s34, s45, s56, s67\}$ & 6 & no  & 19 \\
$\{s12, s13, s15, s23, s24, s34, s45, s58, s67\}$ & 6 & no  & 19 \\
$\{s12, s13, s23, s24, s25, s34, s35, s67, s78\}$ & 6 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s45, s46, s56, s67\}$ & 6 & no  & 19 \\
$\{s12, s13, s16, s23, s24, s34, s37, s45, s56\}$ & 6 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s45, s46, s57, s67\}$ & 6 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s45, s46, s67, s68\}$ & 6 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s45, s46, s58, s67\}$ & 6 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s36, s45, s67, s68\}$ & 6 & no  & 19 \\
$\{s12, s13, s18, s23, s24, s34, s36, s45, s57\}$ & 6 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s35, s46, s56, s67\}$ & 6 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s35, s46, s56, s78\}$ & 6 & no  & 19 \\
$\{s12, s13, s23, s24, s28, s34, s35, s56, s67\}$ & 6 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s35, s56, s57, s58\}$ & 6 & no  & 19 \\
$\{s12, s13, s23, s24, s28, s34, s35, s56, s57\}$ & 6 & no  & 19 \\
$\{s12, s13, s23, s24, s27, s34, s35, s56, s78\}$ & 6 & no  & 19 \\
$\{s12, s13, s23, s24, s26, s34, s35, s57, s67\}$ & 6 & no  & 19 \\
$\{s12, s13, s23, s34, s35, s45, s56, s57, s67\}$ & 6 & no  & 19 \\
$\{s12, s13, s23, s34, s35, s45, s56, s58, s67\}$ & 6 & no  & 19 \\
$\{s12, s13, s23, s28, s34, s35, s45, s56, s57\}$ & 6 & no  & 19 \\
$\{s12, s13, s23, s28, s34, s35, s45, s47, s56\}$ & 6 & no  & 19 \\
$\{s12, s13, s23, s25, s34, s45, s46, s56, s57\}$ & 6 & no  & 19 \\
$\{s12, s13, s23, s25, s26, s34, s45, s47, s56\}$ & 6 & no  & 19 \\
$\{s12, s13, s23, s25, s26, s34, s45, s56, s78\}$ & 6 & no  & 19 \\
$\{s12, s13, s16, s23, s25, s34, s45, s56, s57\}$ & 6 & no  & 19 \\
$\{s12, s13, s16, s23, s25, s34, s37, s45, s56\}$ & 6 & no  & 19 \\
$\{s12, s13, s23, s25, s34, s45, s48, s56, s57\}$ & 6 & no  & 19 \\
$\{s12, s13, s23, s25, s34, s38, s45, s47, s56\}$ & 6 & no  & 19 \\
$\{s12, s13, s23, s25, s27, s34, s45, s56, s68\}$ & 6 & no  & 19 \\
$\{s12, s13, s17, s23, s25, s34, s38, s45, s56\}$ & 6 & no  & 19 \\
$\{s12, s13, s23, s25, s34, s36, s45, s67, s68\}$ & 6 & no  & 19 \\
$\{s12, s13, s16, s23, s25, s34, s37, s45, s68\}$ & 6 & no  & 19 \\
$\{s12, s13, s23, s34, s38, s45, s46, s47, s56\}$ & 6 & no  & 19 \\
$\{s12, s13, s23, s28, s34, s36, s45, s56, s67\}$ & 6 & no  & 19 \\
$\{s12, s13, s23, s27, s28, s34, s36, s45, s56\}$ & 6 & no  & 19 \\
$\{s12, s13, s18, s23, s27, s34, s36, s45, s56\}$ & 6 & no  & 19 \\
$\{s12, s13, s23, s25, s28, s34, s37, s46, s56\}$ & 6 & no  & 19 \\
$\{s12, s14, s23, s25, s34, s37, s45, s56, s67\}$ & 6 & no  & 19 \\
$\{s12, s14, s23, s25, s34, s37, s45, s56, s78\}$ & 6 & no  & 19 \\
$\{s12, s14, s23, s25, s27, s34, s45, s46, s67\}$ & 6 & no  & 19 \\
$\{s12, s14, s23, s25, s34, s45, s46, s67, s78\}$ & 6 & no  & 19 \\
$\{s12, s14, s23, s25, s34, s45, s46, s67, s68\}$ & 6 & no  & 19 \\
$\{s12, s14, s23, s25, s28, s34, s45, s46, s67\}$ & 6 & no  & 19 \\
$\{s12, s14, s23, s34, s36, s45, s48, s56, s67\}$ & 6 & no  & 19 \\
$\{s12, s14, s23, s26, s34, s37, s38, s45, s56\}$ & 6 & no  & 19 \\
$\{s12, s14, s23, s34, s45, s47, s56, s67, s78\}$ & 6 & no  & 19 \\
$\{s12, s13, s14, s23, s24, s34, s45, s56, s57, s67\}$ & 6 & no  & 18 \\
$\{s12, s13, s14, s23, s24, s34, s45, s56, s58, s67\}$ & 6 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s35, s45, s56, s67, s78\}$ & 6 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s35, s45, s56, s67, s68\}$ & 6 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s45, s56, s67, s78\}$ & 6 & no  & 18 \\
$\{s12, s13, s15, s23, s24, s34, s45, s56, s67, s68\}$ & 6 & no  & 18 \\
$\{s12, s13, s17, s23, s24, s34, s45, s46, s56, s67\}$ & 6 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s45, s46, s56, s67, s78\}$ & 6 & no  & 18 \\
$\{s12, s13, s18, s23, s24, s34, s45, s46, s56, s67\}$ & 6 & no  & 18 \\
$\{s12, s13, s16, s23, s24, s34, s45, s47, s56, s67\}$ & 6 & no  & 18 \\
$\{s12, s13, s16, s23, s24, s34, s38, s45, s56, s67\}$ & 6 & no  & 18 \\
$\{s12, s13, s16, s18, s23, s24, s34, s45, s56, s67\}$ & 6 & no  & 18 \\
$\{s12, s13, s16, s23, s24, s34, s45, s47, s56, s78\}$ & 6 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s45, s48, s56, s57, s67\}$ & 6 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s45, s46, s57, s67, s78\}$ & 6 & no  & 18 \\
$\{s12, s13, s18, s23, s24, s34, s45, s46, s57, s67\}$ & 6 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s36, s45, s57, s67, s68\}$ & 6 & no  & 18 \\
$\{s12, s13, s16, s23, s24, s34, s38, s45, s57, s67\}$ & 6 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s35, s46, s56, s67, s78\}$ & 6 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s35, s46, s56, s67, s68\}$ & 6 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s35, s56, s57, s58, s67\}$ & 6 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s35, s48, s56, s57, s67\}$ & 6 & no  & 18 \\
$\{s12, s13, s23, s24, s28, s34, s35, s56, s57, s67\}$ & 6 & no  & 18 \\
$\{s12, s13, s23, s24, s26, s34, s35, s57, s67, s78\}$ & 6 & no  & 18 \\
$\{s12, s13, s23, s24, s26, s34, s35, s57, s67, s68\}$ & 6 & no  & 18 \\
$\{s12, s13, s23, s34, s35, s45, s56, s57, s67, s78\}$ & 6 & no  & 18 \\
$\{s12, s13, s23, s27, s34, s35, s45, s56, s58, s67\}$ & 6 & no  & 18 \\
$\{s12, s13, s23, s27, s34, s35, s45, s48, s56, s67\}$ & 6 & no  & 18 \\
$\{s12, s13, s23, s25, s34, s38, s45, s46, s56, s67\}$ & 6 & no  & 18 \\
$\{s12, s13, s23, s25, s34, s38, s45, s46, s56, s57\}$ & 6 & no  & 18 \\
$\{s12, s13, s23, s25, s26, s34, s45, s47, s56, s78\}$ & 6 & no  & 18 \\
$\{s12, s13, s23, s25, s26, s34, s45, s47, s48, s56\}$ & 6 & no  & 18 \\
$\{s12, s13, s16, s23, s25, s34, s45, s47, s56, s67\}$ & 6 & no  & 18 \\
$\{s12, s13, s16, s23, s25, s34, s45, s56, s67, s78\}$ & 6 & no  & 18 \\
$\{s12, s13, s16, s23, s25, s34, s45, s56, s67, s68\}$ & 6 & no  & 18 \\
$\{s12, s13, s16, s23, s25, s34, s45, s48, s56, s67\}$ & 6 & no  & 18 \\
$\{s12, s13, s16, s23, s25, s34, s38, s45, s56, s67\}$ & 6 & no  & 18 \\
$\{s12, s13, s16, s23, s25, s34, s37, s45, s56, s58\}$ & 6 & no  & 18 \\
$\{s12, s13, s23, s25, s34, s45, s56, s57, s67, s78\}$ & 6 & no  & 18 \\
$\{s12, s13, s23, s25, s34, s38, s45, s47, s56, s67\}$ & 6 & no  & 18 \\
$\{s12, s13, s23, s25, s34, s37, s45, s56, s67, s78\}$ & 6 & no  & 18 \\
$\{s12, s13, s16, s23, s25, s34, s38, s45, s57, s67\}$ & 6 & no  & 18 \\
$\{s12, s13, s16, s17, s23, s25, s34, s45, s67, s78\}$ & 6 & no  & 18 \\
$\{s12, s13, s16, s18, s23, s25, s34, s45, s67, s78\}$ & 6 & no  & 18 \\
$\{s12, s13, s23, s27, s34, s36, s45, s56, s57, s68\}$ & 6 & no  & 18 \\
$\{s12, s13, s23, s27, s28, s34, s36, s45, s56, s57\}$ & 6 & no  & 18 \\
$\{s12, s13, s18, s23, s27, s34, s36, s45, s56, s57\}$ & 6 & no  & 18 \\
$\{s12, s13, s23, s34, s45, s46, s48, s57, s67, s78\}$ & 6 & no  & 18 \\
$\{s12, s13, s23, s34, s45, s46, s48, s57, s67, s68\}$ & 6 & no  & 18 \\
$\{s12, s13, s23, s34, s38, s45, s46, s48, s57, s67\}$ & 6 & no  & 18 \\
$\{s12, s13, s23, s25, s28, s34, s38, s47, s56, s67\}$ & 6 & no  & 18 \\
$\{s12, s14, s23, s25, s34, s37, s45, s56, s67, s78\}$ & 6 & no  & 18 \\
$\{s12, s14, s23, s25, s27, s34, s45, s46, s67, s78\}$ & 6 & no  & 18 \\
$\{s12, s14, s23, s27, s34, s36, s45, s56, s67, s68\}$ & 6 & no  & 18 \\
$\{s12, s14, s23, s26, s34, s45, s47, s56, s67, s78\}$ & 6 & no  & 18 \\
$\{s12, s14, s23, s26, s34, s37, s45, s56, s67, s78\}$ & 6 & no  & 18 \\
$\{s12, s14, s23, s34, s45, s47, s56, s67, s68, s78\}$ & 6 & no  & 18 \\
$\{s12, s14, s23, s28, s34, s45, s47, s56, s67, s78\}$ & 6 & no  & 18 \\
$\{s12, s14, s23, s34, s36, s38, s45, s57, s67, s68\}$ & 6 & no  & 18 \\
$\{s12, s14, s23, s26, s28, s34, s45, s48, s57, s67\}$ & 6 & no  & 18 \\
$\{s12, s14, s18, s23, s26, s34, s38, s45, s57, s67\}$ & 6 & no  & 18 \\
$\{s12, s15, s23, s34, s45, s56, s57, s67, s68, s78\}$ & 6 & no  & 18 \\
$\{s12, s13, s14, s23, s24, s34, s45, s56, s57, s67, s78\}$ & 6 & no  & 17 \\
$\{s12, s13, s14, s23, s24, s34, s45, s56, s58, s67, s78\}$ & 6 & no  & 17 \\
$\{s12, s13, s15, s23, s24, s34, s45, s56, s67, s68, s78\}$ & 6 & no  & 17 \\
$\{s12, s13, s17, s23, s24, s34, s45, s46, s56, s67, s78\}$ & 6 & no  & 17 \\
$\{s12, s13, s17, s18, s23, s24, s34, s45, s46, s56, s67\}$ & 6 & no  & 17 \\
$\{s12, s13, s17, s18, s23, s24, s34, s45, s46, s56, s78\}$ & 6 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s34, s45, s48, s56, s57, s67\}$ & 6 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s34, s38, s45, s56, s57, s67\}$ & 6 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s34, s45, s47, s56, s67, s68\}$ & 6 & no  & 17 \\
$\{s12, s13, s16, s18, s23, s24, s34, s45, s47, s56, s67\}$ & 6 & no  & 17 \\
$\{s12, s13, s16, s18, s23, s24, s34, s45, s47, s56, s78\}$ & 6 & no  & 17 \\
$\{s12, s13, s23, s24, s34, s38, s45, s56, s57, s58, s67\}$ & 6 & no  & 17 \\
$\{s12, s13, s18, s23, s24, s34, s38, s45, s56, s57, s67\}$ & 6 & no  & 17 \\
$\{s12, s13, s18, s23, s24, s34, s45, s46, s57, s67, s78\}$ & 6 & no  & 17 \\
$\{s12, s13, s23, s24, s34, s36, s45, s57, s67, s68, s78\}$ & 6 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s34, s45, s48, s57, s67, s68\}$ & 6 & no  & 17 \\
$\{s12, s13, s16, s18, s23, s24, s34, s45, s57, s67, s68\}$ & 6 & no  & 17 \\
$\{s12, s13, s23, s24, s34, s35, s56, s57, s58, s67, s78\}$ & 6 & no  & 17 \\
$\{s12, s13, s23, s24, s26, s34, s35, s57, s67, s68, s78\}$ & 6 & no  & 17 \\
$\{s12, s13, s18, s23, s27, s34, s35, s45, s56, s67, s78\}$ & 6 & no  & 17 \\
$\{s12, s13, s17, s23, s25, s34, s45, s46, s56, s67, s78\}$ & 6 & no  & 17 \\
$\{s12, s13, s17, s23, s25, s34, s45, s46, s56, s67, s68\}$ & 6 & no  & 17 \\
$\{s12, s13, s18, s23, s25, s34, s45, s46, s56, s67, s78\}$ & 6 & no  & 17 \\
$\{s12, s13, s23, s25, s34, s45, s47, s56, s67, s68, s78\}$ & 6 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s34, s45, s57, s58, s67, s78\}$ & 6 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s34, s45, s48, s57, s67, s78\}$ & 6 & no  & 17 \\
$\{s12, s13, s16, s18, s23, s25, s34, s45, s57, s67, s78\}$ & 6 & no  & 17 \\
$\{s12, s13, s16, s23, s25, s34, s45, s48, s57, s67, s68\}$ & 6 & no  & 17 \\
$\{s12, s13, s16, s17, s23, s25, s34, s45, s48, s58, s67\}$ & 6 & no  & 17 \\
$\{s12, s13, s23, s27, s28, s34, s36, s45, s56, s57, s78\}$ & 6 & no  & 17 \\
$\{s12, s13, s23, s27, s34, s36, s45, s56, s57, s58, s68\}$ & 6 & no  & 17 \\
$\{s12, s13, s23, s27, s28, s34, s36, s45, s56, s57, s58\}$ & 6 & no  & 17 \\
$\{s12, s13, s23, s25, s34, s46, s48, s56, s57, s58, s67\}$ & 6 & no  & 17 \\
$\{s12, s13, s23, s25, s28, s34, s46, s56, s57, s58, s67\}$ & 6 & no  & 17 \\
$\{s12, s13, s17, s18, s23, s25, s34, s46, s56, s67, s78\}$ & 6 & no  & 17 \\
$\{s12, s13, s17, s23, s25, s34, s38, s46, s56, s67, s68\}$ & 6 & no  & 17 \\
$\{s12, s14, s23, s25, s34, s37, s45, s56, s67, s68, s78\}$ & 6 & no  & 17 \\
$\{s12, s14, s23, s25, s27, s34, s45, s46, s67, s68, s78\}$ & 6 & no  & 17 \\
$\{s12, s14, s23, s27, s34, s36, s45, s56, s58, s67, s78\}$ & 6 & no  & 17 \\
$\{s12, s14, s23, s26, s34, s45, s56, s57, s67, s68, s78\}$ & 6 & no  & 17 \\
$\{s12, s14, s23, s26, s34, s45, s48, s56, s57, s67, s78\}$ & 6 & no  & 17 \\
$\{s12, s14, s23, s26, s34, s38, s45, s56, s57, s67, s78\}$ & 6 & no  & 17 \\
$\{s12, s14, s23, s26, s34, s45, s56, s57, s58, s67, s68\}$ & 6 & no  & 17 \\
$\{s12, s14, s23, s26, s34, s38, s45, s56, s57, s67, s68\}$ & 6 & no  & 17 \\
$\{s12, s14, s23, s26, s34, s45, s47, s56, s67, s68, s78\}$ & 6 & no  & 17 \\
$\{s12, s14, s23, s26, s28, s34, s45, s47, s56, s67, s78\}$ & 6 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s34, s45, s56, s57, s67, s68, s78\}$ & 6 & no  & 16 \\
$\{s12, s13, s16, s23, s24, s34, s45, s56, s57, s58, s67, s68\}$ & 6 & no  & 16 \\
$\{s12, s13, s14, s23, s24, s34, s45, s56\}$ & 7 & no  & 20 \\
$\{s12, s13, s23, s24, s34, s45, s46, s56\}$ & 7 & no  & 20 \\
$\{s12, s13, s23, s24, s34, s45, s46, s67\}$ & 7 & no  & 20 \\
$\{s12, s13, s23, s24, s34, s36, s45, s67\}$ & 7 & no  & 20 \\
$\{s12, s13, s23, s34, s35, s45, s47, s56\}$ & 7 & no  & 20 \\
$\{s12, s13, s23, s25, s34, s36, s45, s67\}$ & 7 & no  & 20 \\
$\{s12, s13, s23, s34, s36, s45, s56, s67\}$ & 7 & no  & 20 \\
$\{s12, s13, s16, s23, s25, s34, s37, s78\}$ & 7 & no  & 20 \\
$\{s12, s14, s23, s34, s37, s45, s46, s68\}$ & 7 & no  & 20 \\
$\{s12, s13, s14, s23, s24, s34, s45, s56, s67\}$ & 7 & no  & 19 \\
$\{s12, s13, s14, s23, s24, s34, s45, s58, s67\}$ & 7 & no  & 19 \\
$\{s12, s13, s17, s23, s24, s34, s45, s46, s56\}$ & 7 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s45, s46, s56, s78\}$ & 7 & no  & 19 \\
$\{s12, s13, s16, s23, s24, s34, s45, s47, s56\}$ & 7 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s45, s46, s67, s78\}$ & 7 & no  & 19 \\
$\{s12, s13, s18, s23, s24, s34, s45, s46, s67\}$ & 7 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s36, s45, s57, s67\}$ & 7 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s36, s45, s67, s78\}$ & 7 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s36, s45, s58, s67\}$ & 7 & no  & 19 \\
$\{s12, s13, s23, s34, s35, s45, s48, s56, s67\}$ & 7 & no  & 19 \\
$\{s12, s13, s16, s23, s25, s34, s45, s56, s67\}$ & 7 & no  & 19 \\
$\{s12, s13, s16, s23, s25, s34, s45, s56, s78\}$ & 7 & no  & 19 \\
$\{s12, s13, s23, s25, s34, s45, s56, s57, s67\}$ & 7 & no  & 19 \\
$\{s12, s13, s23, s25, s34, s37, s45, s56, s67\}$ & 7 & no  & 19 \\
$\{s12, s13, s23, s25, s34, s45, s56, s57, s78\}$ & 7 & no  & 19 \\
$\{s12, s13, s23, s25, s34, s36, s45, s67, s78\}$ & 7 & no  & 19 \\
$\{s12, s13, s23, s25, s34, s36, s45, s58, s67\}$ & 7 & no  & 19 \\
$\{s12, s13, s16, s17, s23, s25, s34, s45, s67\}$ & 7 & no  & 19 \\
$\{s12, s13, s16, s18, s23, s25, s34, s45, s67\}$ & 7 & no  & 19 \\
$\{s12, s13, s23, s34, s36, s45, s56, s67, s78\}$ & 7 & no  & 19 \\
$\{s12, s13, s23, s34, s36, s45, s56, s58, s67\}$ & 7 & no  & 19 \\
$\{s12, s13, s17, s23, s25, s34, s38, s46, s56\}$ & 7 & no  & 19 \\
$\{s12, s14, s23, s26, s34, s37, s45, s48, s56\}$ & 7 & no  & 19 \\
$\{s12, s14, s18, s23, s26, s34, s37, s45, s56\}$ & 7 & no  & 19 \\
$\{s12, s14, s23, s34, s36, s45, s48, s57, s67\}$ & 7 & no  & 19 \\
$\{s12, s13, s14, s23, s24, s34, s45, s56, s67, s78\}$ & 7 & no  & 18 \\
$\{s12, s13, s14, s23, s24, s34, s45, s56, s67, s68\}$ & 7 & no  & 18 \\
$\{s12, s13, s17, s23, s24, s34, s45, s46, s56, s78\}$ & 7 & no  & 18 \\
$\{s12, s13, s17, s18, s23, s24, s34, s45, s46, s56\}$ & 7 & no  & 18 \\
$\{s12, s13, s16, s23, s24, s34, s45, s48, s56, s67\}$ & 7 & no  & 18 \\
$\{s12, s13, s16, s18, s23, s24, s34, s45, s47, s56\}$ & 7 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s36, s45, s57, s67, s78\}$ & 7 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s36, s45, s57, s58, s67\}$ & 7 & no  & 18 \\
$\{s12, s13, s16, s23, s24, s34, s45, s48, s57, s67\}$ & 7 & no  & 18 \\
$\{s12, s13, s23, s34, s35, s45, s48, s56, s67, s78\}$ & 7 & no  & 18 \\
$\{s12, s13, s17, s23, s25, s34, s45, s46, s56, s67\}$ & 7 & no  & 18 \\
$\{s12, s13, s23, s25, s34, s45, s46, s56, s67, s78\}$ & 7 & no  & 18 \\
$\{s12, s13, s23, s25, s34, s45, s46, s56, s67, s68\}$ & 7 & no  & 18 \\
$\{s12, s13, s18, s23, s25, s34, s45, s46, s56, s67\}$ & 7 & no  & 18 \\
$\{s12, s13, s23, s25, s34, s38, s45, s56, s57, s67\}$ & 7 & no  & 18 \\
$\{s12, s13, s18, s23, s25, s34, s45, s56, s57, s67\}$ & 7 & no  & 18 \\
$\{s12, s13, s23, s25, s34, s45, s47, s56, s67, s78\}$ & 7 & no  & 18 \\
$\{s12, s13, s18, s23, s25, s34, s45, s47, s56, s67\}$ & 7 & no  & 18 \\
$\{s12, s13, s23, s25, s34, s37, s45, s56, s67, s68\}$ & 7 & no  & 18 \\
$\{s12, s13, s23, s25, s34, s37, s45, s56, s58, s67\}$ & 7 & no  & 18 \\
$\{s12, s13, s16, s23, s25, s34, s45, s57, s58, s67\}$ & 7 & no  & 18 \\
$\{s12, s13, s16, s18, s23, s25, s34, s45, s57, s67\}$ & 7 & no  & 18 \\
$\{s12, s13, s16, s17, s23, s25, s34, s45, s58, s67\}$ & 7 & no  & 18 \\
$\{s12, s13, s23, s34, s38, s45, s46, s57, s67, s68\}$ & 7 & no  & 18 \\
$\{s12, s13, s17, s23, s25, s34, s38, s46, s56, s67\}$ & 7 & no  & 18 \\
$\{s12, s13, s18, s23, s25, s34, s38, s47, s56, s67\}$ & 7 & no  & 18 \\
$\{s12, s14, s23, s27, s34, s36, s45, s56, s67, s78\}$ & 7 & no  & 18 \\
$\{s12, s14, s23, s34, s36, s45, s56, s58, s67, s78\}$ & 7 & no  & 18 \\
$\{s12, s14, s23, s26, s34, s37, s45, s56, s67, s68\}$ & 7 & no  & 18 \\
$\{s12, s14, s23, s26, s34, s37, s45, s56, s58, s67\}$ & 7 & no  & 18 \\
$\{s12, s14, s23, s28, s34, s36, s45, s57, s67, s68\}$ & 7 & no  & 18 \\
$\{s12, s14, s18, s23, s28, s34, s36, s45, s57, s67\}$ & 7 & no  & 18 \\
$\{s12, s14, s23, s26, s34, s38, s45, s48, s57, s67\}$ & 7 & no  & 18 \\
$\{s12, s15, s23, s34, s37, s45, s48, s56, s67, s78\}$ & 7 & no  & 18 \\
$\{s12, s13, s14, s23, s24, s34, s48, s56, s57, s67, s78\}$ & 7 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s34, s45, s56, s57, s67, s78\}$ & 7 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s34, s45, s56, s57, s67, s68\}$ & 7 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s34, s45, s56, s58, s67, s78\}$ & 7 & no  & 17 \\
$\{s12, s13, s18, s23, s24, s34, s45, s56, s57, s58, s67\}$ & 7 & no  & 17 \\
$\{s12, s13, s23, s24, s34, s36, s45, s57, s58, s67, s78\}$ & 7 & no  & 17 \\
$\{s12, s13, s23, s27, s34, s36, s45, s56, s57, s58, s78\}$ & 7 & no  & 17 \\
$\{s12, s13, s23, s25, s34, s46, s48, s56, s57, s67, s78\}$ & 7 & no  & 17 \\
$\{s12, s13, s18, s23, s25, s34, s46, s56, s57, s67, s78\}$ & 7 & no  & 17 \\
$\{s12, s13, s23, s25, s34, s46, s48, s56, s57, s67, s68\}$ & 7 & no  & 17 \\
$\{s12, s13, s17, s23, s25, s34, s46, s56, s67, s68, s78\}$ & 7 & no  & 17 \\
$\{s12, s13, s18, s23, s24, s34, s45, s56, s57, s67, s68, s78\}$ & 7 & no  & 16 \\
$\{s12, s13, s14, s23, s24, s34, s45\}$ & 8 & no  & 21 \\
$\{s12, s13, s23, s24, s34, s35, s45\}$ & 8 & no  & 21 \\
$\{s12, s13, s15, s23, s24, s34, s45\}$ & 8 & no  & 21 \\
$\{s12, s13, s23, s24, s34, s45, s46\}$ & 8 & no  & 21 \\
$\{s12, s13, s23, s24, s34, s36, s45\}$ & 8 & no  & 21 \\
$\{s12, s13, s23, s25, s34, s36, s45\}$ & 8 & no  & 21 \\
$\{s12, s13, s16, s23, s25, s34, s37\}$ & 8 & no  & 21 \\
$\{s12, s14, s23, s25, s34, s45, s56\}$ & 8 & no  & 21 \\
$\{s12, s14, s23, s34, s37, s45, s46\}$ & 8 & no  & 21 \\
$\{s12, s13, s14, s23, s24, s34, s45, s67\}$ & 8 & no  & 20 \\
$\{s12, s13, s23, s24, s34, s35, s45, s67\}$ & 8 & no  & 20 \\
$\{s12, s13, s15, s23, s24, s34, s45, s67\}$ & 8 & no  & 20 \\
$\{s12, s13, s17, s23, s24, s34, s45, s46\}$ & 8 & no  & 20 \\
$\{s12, s13, s23, s24, s34, s36, s45, s57\}$ & 8 & no  & 20 \\
$\{s12, s13, s23, s24, s34, s45, s48, s67\}$ & 8 & no  & 20 \\
$\{s12, s13, s23, s24, s34, s38, s45, s67\}$ & 8 & no  & 20 \\
$\{s12, s13, s23, s24, s34, s35, s56, s57\}$ & 8 & no  & 20 \\
$\{s12, s13, s23, s27, s34, s35, s45, s56\}$ & 8 & no  & 20 \\
$\{s12, s13, s16, s23, s25, s34, s45, s56\}$ & 8 & no  & 20 \\
$\{s12, s13, s23, s25, s34, s45, s56, s57\}$ & 8 & no  & 20 \\
$\{s12, s13, s23, s25, s34, s37, s45, s56\}$ & 8 & no  & 20 \\
$\{s12, s13, s16, s17, s23, s25, s34, s45\}$ & 8 & no  & 20 \\
$\{s12, s13, s23, s25, s34, s38, s45, s67\}$ & 8 & no  & 20 \\
$\{s12, s13, s23, s27, s34, s36, s45, s56\}$ & 8 & no  & 20 \\
$\{s12, s13, s23, s34, s35, s48, s56, s57\}$ & 8 & no  & 20 \\
$\{s12, s13, s23, s26, s34, s35, s57, s58\}$ & 8 & no  & 20 \\
$\{s12, s13, s23, s26, s34, s35, s48, s57\}$ & 8 & no  & 20 \\
$\{s12, s13, s16, s23, s25, s34, s37, s68\}$ & 8 & no  & 20 \\
$\{s12, s14, s23, s25, s34, s45, s56, s67\}$ & 8 & no  & 20 \\
$\{s12, s14, s23, s25, s34, s45, s58, s67\}$ & 8 & no  & 20 \\
$\{s12, s14, s23, s34, s45, s47, s56, s67\}$ & 8 & no  & 20 \\
$\{s12, s14, s23, s34, s45, s46, s67, s68\}$ & 8 & no  & 20 \\
$\{s12, s14, s23, s34, s45, s46, s58, s67\}$ & 8 & no  & 20 \\
$\{s12, s14, s23, s34, s37, s45, s46, s78\}$ & 8 & no  & 20 \\
$\{s12, s14, s23, s26, s34, s37, s45, s48\}$ & 8 & no  & 20 \\
$\{s12, s13, s14, s23, s24, s34, s45, s67, s78\}$ & 8 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s35, s45, s67, s78\}$ & 8 & no  & 19 \\
$\{s12, s13, s15, s23, s24, s34, s45, s67, s78\}$ & 8 & no  & 19 \\
$\{s12, s13, s17, s18, s23, s24, s34, s45, s56\}$ & 8 & no  & 19 \\
$\{s12, s13, s17, s18, s23, s24, s34, s45, s46\}$ & 8 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s36, s45, s57, s78\}$ & 8 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s36, s45, s57, s58\}$ & 8 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s35, s56, s57, s67\}$ & 8 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s35, s56, s58, s67\}$ & 8 & no  & 19 \\
$\{s12, s13, s23, s27, s34, s35, s45, s56, s67\}$ & 8 & no  & 19 \\
$\{s12, s13, s23, s27, s34, s35, s45, s56, s78\}$ & 8 & no  & 19 \\
$\{s12, s13, s23, s25, s34, s45, s46, s56, s67\}$ & 8 & no  & 19 \\
$\{s12, s13, s23, s25, s34, s45, s46, s56, s78\}$ & 8 & no  & 19 \\
$\{s12, s13, s23, s25, s34, s45, s47, s56, s67\}$ & 8 & no  & 19 \\
$\{s12, s13, s23, s25, s34, s38, s45, s56, s57\}$ & 8 & no  & 19 \\
$\{s12, s13, s18, s23, s25, s34, s45, s56, s57\}$ & 8 & no  & 19 \\
$\{s12, s13, s23, s25, s34, s45, s47, s56, s78\}$ & 8 & no  & 19 \\
$\{s12, s13, s18, s23, s25, s34, s45, s47, s56\}$ & 8 & no  & 19 \\
$\{s12, s13, s23, s25, s34, s37, s45, s56, s68\}$ & 8 & no  & 19 \\
$\{s12, s13, s17, s18, s23, s25, s34, s45, s56\}$ & 8 & no  & 19 \\
$\{s12, s13, s23, s34, s45, s46, s48, s56, s67\}$ & 8 & no  & 19 \\
$\{s12, s13, s23, s34, s45, s46, s47, s56, s78\}$ & 8 & no  & 19 \\
$\{s12, s13, s23, s27, s34, s36, s45, s56, s57\}$ & 8 & no  & 19 \\
$\{s12, s13, s23, s27, s34, s36, s45, s56, s78\}$ & 8 & no  & 19 \\
$\{s12, s13, s23, s27, s34, s36, s45, s56, s58\}$ & 8 & no  & 19 \\
$\{s12, s13, s23, s34, s45, s46, s48, s57, s67\}$ & 8 & no  & 19 \\
$\{s12, s13, s23, s25, s28, s34, s46, s56, s57\}$ & 8 & no  & 19 \\
$\{s12, s13, s23, s25, s34, s37, s46, s56, s78\}$ & 8 & no  & 19 \\
$\{s12, s13, s17, s18, s23, s25, s34, s46, s56\}$ & 8 & no  & 19 \\
$\{s12, s14, s23, s25, s34, s45, s56, s67, s78\}$ & 8 & no  & 19 \\
$\{s12, s14, s23, s25, s34, s45, s56, s67, s68\}$ & 8 & no  & 19 \\
$\{s12, s14, s23, s27, s34, s36, s45, s56, s67\}$ & 8 & no  & 19 \\
$\{s12, s14, s23, s34, s36, s45, s56, s67, s68\}$ & 8 & no  & 19 \\
$\{s12, s14, s23, s34, s36, s45, s56, s58, s67\}$ & 8 & no  & 19 \\
$\{s12, s14, s23, s28, s34, s36, s45, s56, s67\}$ & 8 & no  & 19 \\
$\{s12, s14, s23, s26, s34, s45, s47, s56, s67\}$ & 8 & no  & 19 \\
$\{s12, s14, s23, s26, s34, s37, s45, s56, s67\}$ & 8 & no  & 19 \\
$\{s12, s14, s23, s26, s28, s34, s45, s56, s67\}$ & 8 & no  & 19 \\
$\{s12, s14, s23, s26, s34, s45, s47, s56, s78\}$ & 8 & no  & 19 \\
$\{s12, s14, s23, s26, s34, s37, s45, s56, s78\}$ & 8 & no  & 19 \\
$\{s12, s14, s23, s34, s45, s47, s56, s67, s68\}$ & 8 & no  & 19 \\
$\{s12, s15, s23, s34, s45, s56, s57, s67, s78\}$ & 8 & no  & 19 \\
$\{s12, s15, s23, s34, s45, s48, s56, s57, s67\}$ & 8 & no  & 19 \\
$\{s12, s15, s23, s34, s45, s56, s58, s67, s78\}$ & 8 & no  & 19 \\
$\{s12, s13, s14, s23, s24, s34, s48, s56, s57, s67\}$ & 8 & no  & 18 \\
$\{s12, s13, s16, s23, s24, s34, s45, s56, s57, s67\}$ & 8 & no  & 18 \\
$\{s12, s13, s16, s23, s24, s34, s45, s56, s67, s78\}$ & 8 & no  & 18 \\
$\{s12, s13, s16, s23, s24, s34, s45, s56, s67, s68\}$ & 8 & no  & 18 \\
$\{s12, s13, s16, s23, s24, s34, s45, s56, s58, s67\}$ & 8 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s38, s45, s56, s57, s67\}$ & 8 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s35, s56, s57, s67, s78\}$ & 8 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s38, s48, s56, s57, s67\}$ & 8 & no  & 18 \\
$\{s12, s13, s18, s23, s24, s34, s48, s56, s57, s67\}$ & 8 & no  & 18 \\
$\{s12, s13, s23, s27, s34, s35, s45, s56, s67, s78\}$ & 8 & no  & 18 \\
$\{s12, s13, s16, s23, s25, s34, s45, s57, s67, s78\}$ & 8 & no  & 18 \\
$\{s12, s13, s16, s23, s25, s34, s45, s57, s67, s68\}$ & 8 & no  & 18 \\
$\{s12, s13, s23, s27, s34, s36, s45, s56, s57, s78\}$ & 8 & no  & 18 \\
$\{s12, s13, s23, s27, s34, s36, s45, s56, s57, s58\}$ & 8 & no  & 18 \\
$\{s12, s13, s23, s34, s45, s46, s57, s58, s67, s68\}$ & 8 & no  & 18 \\
$\{s12, s13, s23, s28, s34, s38, s45, s46, s57, s67\}$ & 8 & no  & 18 \\
$\{s12, s13, s23, s25, s34, s46, s56, s57, s58, s67\}$ & 8 & no  & 18 \\
$\{s12, s13, s17, s23, s25, s34, s46, s56, s67, s78\}$ & 8 & no  & 18 \\
$\{s12, s13, s17, s23, s25, s34, s46, s56, s58, s78\}$ & 8 & no  & 18 \\
$\{s12, s13, s23, s25, s34, s38, s47, s56, s67, s78\}$ & 8 & no  & 18 \\
$\{s12, s13, s23, s25, s28, s34, s47, s56, s67, s78\}$ & 8 & no  & 18 \\
$\{s12, s13, s23, s25, s28, s34, s47, s56, s58, s67\}$ & 8 & no  & 18 \\
$\{s12, s13, s18, s23, s25, s34, s47, s56, s58, s67\}$ & 8 & no  & 18 \\
$\{s12, s14, s23, s26, s34, s45, s56, s57, s67, s78\}$ & 8 & no  & 18 \\
$\{s12, s14, s23, s26, s34, s45, s56, s57, s67, s68\}$ & 8 & no  & 18 \\
$\{s12, s14, s23, s26, s34, s45, s48, s56, s57, s67\}$ & 8 & no  & 18 \\
$\{s12, s14, s23, s26, s34, s38, s45, s56, s57, s67\}$ & 8 & no  & 18 \\
$\{s12, s14, s23, s26, s34, s45, s47, s56, s67, s68\}$ & 8 & no  & 18 \\
$\{s12, s14, s23, s34, s36, s45, s57, s58, s67, s68\}$ & 8 & no  & 18 \\
$\{s12, s14, s23, s26, s34, s45, s48, s57, s67, s78\}$ & 8 & no  & 18 \\
$\{s12, s14, s23, s26, s34, s38, s45, s57, s67, s78\}$ & 8 & no  & 18 \\
$\{s12, s14, s23, s26, s34, s45, s48, s57, s67, s68\}$ & 8 & no  & 18 \\
$\{s12, s14, s23, s26, s34, s38, s45, s57, s67, s68\}$ & 8 & no  & 18 \\
$\{s12, s15, s23, s34, s38, s45, s48, s56, s57, s67\}$ & 8 & no  & 18 \\
$\{s12, s15, s23, s28, s34, s45, s48, s56, s57, s67\}$ & 8 & no  & 18 \\
$\{s12, s15, s18, s23, s34, s37, s45, s56, s67, s78\}$ & 8 & no  & 18 \\
$\{s12, s15, s23, s34, s37, s45, s48, s56, s58, s67\}$ & 8 & no  & 18 \\
$\{s12, s15, s23, s34, s37, s38, s45, s56, s58, s67\}$ & 8 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s45, s56, s57, s58, s67, s78\}$ & 8 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s34, s45, s57, s67, s68, s78\}$ & 8 & no  & 17 \\
$\{s12, s13, s16, s23, s24, s34, s45, s57, s58, s67, s68\}$ & 8 & no  & 17 \\
$\{s12, s13, s23, s25, s34, s45, s46, s56\}$ & 9 & no  & 20 \\
$\{s12, s13, s23, s25, s34, s45, s47, s56\}$ & 9 & no  & 20 \\
$\{s12, s14, s18, s23, s26, s34, s37, s45\}$ & 9 & no  & 20 \\
$\{s12, s13, s16, s23, s24, s34, s45, s56, s67\}$ & 9 & no  & 19 \\
$\{s12, s13, s16, s23, s24, s34, s45, s56, s78\}$ & 9 & no  & 19 \\
$\{s12, s13, s17, s23, s25, s34, s45, s56, s78\}$ & 9 & no  & 19 \\
$\{s12, s13, s17, s23, s25, s34, s45, s56, s68\}$ & 9 & no  & 19 \\
$\{s12, s13, s16, s23, s25, s34, s45, s57, s67\}$ & 9 & no  & 19 \\
$\{s12, s14, s23, s34, s36, s45, s56, s67, s78\}$ & 9 & no  & 19 \\
$\{s12, s14, s18, s23, s34, s36, s45, s56, s67\}$ & 9 & no  & 19 \\
$\{s12, s14, s23, s26, s34, s37, s45, s56, s68\}$ & 9 & no  & 19 \\
$\{s12, s14, s23, s28, s34, s36, s45, s57, s67\}$ & 9 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s45, s56, s57, s58, s67\}$ & 9 & no  & 18 \\
$\{s12, s13, s18, s23, s24, s34, s45, s56, s57, s67\}$ & 9 & no  & 18 \\
$\{s12, s13, s18, s23, s24, s34, s45, s56, s67, s78\}$ & 9 & no  & 18 \\
$\{s12, s13, s16, s23, s24, s34, s45, s57, s67, s78\}$ & 9 & no  & 18 \\
$\{s12, s13, s16, s23, s24, s34, s45, s57, s67, s68\}$ & 9 & no  & 18 \\
$\{s12, s13, s16, s23, s25, s34, s45, s67, s68, s78\}$ & 9 & no  & 18 \\
$\{s12, s13, s23, s34, s45, s48, s56, s57, s58, s67\}$ & 9 & no  & 18 \\
$\{s12, s13, s23, s34, s38, s45, s56, s57, s58, s67\}$ & 9 & no  & 18 \\
$\{s12, s13, s23, s34, s45, s46, s57, s67, s68, s78\}$ & 9 & no  & 18 \\
$\{s12, s13, s23, s25, s34, s46, s56, s57, s67, s78\}$ & 9 & no  & 18 \\
$\{s12, s13, s23, s25, s34, s46, s56, s57, s67, s68\}$ & 9 & no  & 18 \\
$\{s12, s13, s23, s25, s34, s46, s48, s56, s57, s67\}$ & 9 & no  & 18 \\
$\{s12, s13, s17, s23, s25, s34, s46, s56, s67, s68\}$ & 9 & no  & 18 \\
$\{s12, s13, s18, s23, s25, s34, s47, s56, s67, s78\}$ & 9 & no  & 18 \\
$\{s12, s14, s23, s34, s36, s45, s57, s67, s68, s78\}$ & 9 & no  & 18 \\
$\{s12, s15, s23, s34, s37, s45, s56, s67, s68, s78\}$ & 9 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s45, s56, s57, s67, s68, s78\}$ & 9 & no  & 17 \\
$\{s12, s13, s23, s24, s34, s35, s56\}$ & 10 & no  & 21 \\
$\{s12, s13, s23, s34, s35, s45, s56\}$ & 10 & no  & 21 \\
$\{s12, s13, s23, s34, s36, s45, s56\}$ & 10 & no  & 21 \\
$\{s12, s13, s23, s34, s35, s56, s57\}$ & 10 & no  & 21 \\
$\{s12, s13, s23, s26, s34, s35, s57\}$ & 10 & no  & 21 \\
$\{s12, s14, s23, s34, s45, s46, s67\}$ & 10 & no  & 21 \\
$\{s12, s23, s24, s45, s47, s48, s56\}$ & 10 & no  & 21 \\
$\{s12, s13, s16, s23, s24, s34, s45, s56\}$ & 10 & no  & 20 \\
$\{s12, s13, s23, s24, s34, s35, s56, s67\}$ & 10 & no  & 20 \\
$\{s12, s13, s23, s24, s34, s35, s58, s67\}$ & 10 & no  & 20 \\
$\{s12, s13, s23, s34, s35, s45, s56, s67\}$ & 10 & no  & 20 \\
$\{s12, s13, s23, s34, s35, s45, s58, s67\}$ & 10 & no  & 20 \\
$\{s12, s13, s17, s23, s25, s34, s45, s56\}$ & 10 & no  & 20 \\
$\{s12, s13, s23, s34, s45, s46, s47, s56\}$ & 10 & no  & 20 \\
$\{s12, s13, s23, s34, s36, s45, s56, s57\}$ & 10 & no  & 20 \\
$\{s12, s13, s23, s34, s36, s45, s56, s78\}$ & 10 & no  & 20 \\
$\{s12, s13, s23, s34, s45, s46, s47, s78\}$ & 10 & no  & 20 \\
$\{s12, s13, s23, s34, s35, s56, s57, s78\}$ & 10 & no  & 20 \\
$\{s12, s13, s23, s26, s34, s35, s57, s78\}$ & 10 & no  & 20 \\
$\{s12, s13, s23, s25, s34, s37, s46, s56\}$ & 10 & no  & 20 \\
$\{s12, s13, s23, s25, s34, s38, s47, s56\}$ & 10 & no  & 20 \\
$\{s12, s14, s23, s34, s36, s45, s56, s67\}$ & 10 & no  & 20 \\
$\{s12, s14, s23, s26, s34, s45, s47, s56\}$ & 10 & no  & 20 \\
$\{s12, s14, s23, s26, s34, s37, s45, s56\}$ & 10 & no  & 20 \\
$\{s12, s14, s23, s34, s45, s46, s67, s78\}$ & 10 & no  & 20 \\
$\{s12, s14, s23, s27, s34, s45, s46, s68\}$ & 10 & no  & 20 \\
$\{s12, s14, s23, s26, s34, s37, s45, s78\}$ & 10 & no  & 20 \\
$\{s12, s15, s23, s34, s45, s48, s56, s57\}$ & 10 & no  & 20 \\
$\{s12, s13, s23, s24, s34, s45, s56, s57, s58\}$ & 10 & no  & 19 \\
$\{s12, s13, s18, s23, s24, s34, s45, s56, s57\}$ & 10 & no  & 19 \\
$\{s12, s13, s17, s23, s24, s34, s45, s56, s78\}$ & 10 & no  & 19 \\
$\{s12, s13, s17, s23, s24, s34, s45, s56, s68\}$ & 10 & no  & 19 \\
$\{s12, s13, s16, s23, s24, s34, s45, s57, s67\}$ & 10 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s35, s56, s67, s78\}$ & 10 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s35, s56, s67, s68\}$ & 10 & no  & 19 \\
$\{s12, s13, s23, s34, s35, s45, s56, s67, s78\}$ & 10 & no  & 19 \\
$\{s12, s13, s23, s34, s35, s45, s56, s67, s68\}$ & 10 & no  & 19 \\
$\{s12, s13, s23, s25, s34, s45, s56, s67, s78\}$ & 10 & no  & 19 \\
$\{s12, s13, s23, s25, s34, s45, s56, s67, s68\}$ & 10 & no  & 19 \\
$\{s12, s13, s16, s23, s25, s34, s45, s67, s78\}$ & 10 & no  & 19 \\
$\{s12, s13, s16, s23, s25, s34, s45, s67, s68\}$ & 10 & no  & 19 \\
$\{s12, s13, s23, s34, s38, s45, s46, s56, s67\}$ & 10 & no  & 19 \\
$\{s12, s13, s23, s34, s36, s45, s56, s57, s78\}$ & 10 & no  & 19 \\
$\{s12, s13, s23, s34, s36, s45, s56, s57, s58\}$ & 10 & no  & 19 \\
$\{s12, s13, s23, s34, s38, s45, s46, s57, s67\}$ & 10 & no  & 19 \\
$\{s12, s13, s17, s23, s25, s34, s46, s56, s67\}$ & 10 & no  & 19 \\
$\{s12, s13, s23, s25, s34, s38, s46, s56, s67\}$ & 10 & no  & 19 \\
$\{s12, s13, s23, s25, s34, s46, s56, s57, s58\}$ & 10 & no  & 19 \\
$\{s12, s13, s23, s25, s34, s38, s46, s56, s57\}$ & 10 & no  & 19 \\
$\{s12, s13, s18, s23, s25, s34, s46, s56, s57\}$ & 10 & no  & 19 \\
$\{s12, s13, s17, s23, s25, s34, s46, s56, s78\}$ & 10 & no  & 19 \\
$\{s12, s13, s23, s25, s34, s38, s47, s56, s67\}$ & 10 & no  & 19 \\
$\{s12, s14, s23, s26, s34, s45, s56, s57, s67\}$ & 10 & no  & 19 \\
$\{s12, s14, s23, s26, s34, s45, s56, s67, s78\}$ & 10 & no  & 19 \\
$\{s12, s14, s23, s26, s34, s45, s56, s67, s68\}$ & 10 & no  & 19 \\
$\{s12, s14, s23, s26, s34, s45, s56, s58, s67\}$ & 10 & no  & 19 \\
$\{s12, s14, s23, s26, s34, s45, s48, s56, s67\}$ & 10 & no  & 19 \\
$\{s12, s14, s23, s26, s28, s34, s45, s47, s56\}$ & 10 & no  & 19 \\
$\{s12, s14, s23, s34, s36, s45, s57, s67, s68\}$ & 10 & no  & 19 \\
$\{s12, s14, s23, s26, s34, s45, s48, s57, s67\}$ & 10 & no  & 19 \\
$\{s12, s14, s23, s26, s34, s38, s45, s57, s67\}$ & 10 & no  & 19 \\
$\{s12, s15, s23, s34, s37, s45, s48, s56, s67\}$ & 10 & no  & 19 \\
$\{s12, s15, s23, s34, s45, s48, s56, s67, s78\}$ & 10 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s45, s56, s57, s67, s78\}$ & 10 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s38, s56, s57, s67, s78\}$ & 10 & no  & 18 \\
$\{s12, s13, s23, s34, s38, s45, s56, s57, s67, s78\}$ & 10 & no  & 18 \\
$\{s12, s13, s23, s28, s34, s45, s46, s57, s67, s78\}$ & 10 & no  & 18 \\
$\{s12, s13, s18, s23, s28, s34, s45, s46, s57, s67\}$ & 10 & no  & 18 \\
$\{s12, s13, s23, s25, s34, s47, s48, s56, s67, s78\}$ & 10 & no  & 18 \\
$\{s12, s14, s23, s26, s34, s45, s57, s58, s67, s68\}$ & 10 & no  & 18 \\
$\{s12, s13, s14, s23, s24, s34, s56, s57, s58, s67, s68, s78\}$ & 10 & no  & 16 \\
$\{s12, s13, s23, s34, s35, s47, s56\}$ & 11 & no  & 21 \\
$\{s12, s23, s34, s36, s38, s45, s67\}$ & 11 & no  & 21 \\
$\{s12, s13, s17, s23, s24, s34, s45, s56\}$ & 11 & no  & 20 \\
$\{s12, s13, s18, s23, s24, s34, s45, s67\}$ & 11 & no  & 20 \\
$\{s12, s13, s23, s25, s34, s45, s56, s67\}$ & 11 & no  & 20 \\
$\{s12, s13, s16, s23, s25, s34, s45, s67\}$ & 11 & no  & 20 \\
$\{s12, s13, s23, s25, s34, s45, s58, s67\}$ & 11 & no  & 20 \\
$\{s12, s13, s18, s23, s25, s34, s45, s67\}$ & 11 & no  & 20 \\
$\{s12, s13, s23, s34, s35, s47, s56, s78\}$ & 11 & no  & 20 \\
$\{s12, s14, s23, s34, s36, s45, s56, s78\}$ & 11 & no  & 20 \\
$\{s12, s14, s23, s26, s34, s37, s45, s68\}$ & 11 & no  & 20 \\
$\{s12, s15, s23, s34, s45, s56, s57, s67\}$ & 11 & no  & 20 \\
$\{s12, s15, s23, s34, s45, s56, s57, s78\}$ & 11 & no  & 20 \\
$\{s12, s13, s23, s24, s34, s45, s56, s57, s67\}$ & 11 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s45, s56, s57, s78\}$ & 11 & no  & 19 \\
$\{s12, s13, s23, s34, s45, s46, s56, s67, s68\}$ & 11 & no  & 19 \\
$\{s12, s13, s23, s34, s45, s46, s56, s58, s67\}$ & 11 & no  & 19 \\
$\{s12, s13, s23, s34, s45, s46, s57, s67, s68\}$ & 11 & no  & 19 \\
$\{s12, s13, s23, s25, s34, s46, s56, s57, s67\}$ & 11 & no  & 19 \\
$\{s12, s13, s18, s23, s25, s34, s46, s56, s67\}$ & 11 & no  & 19 \\
$\{s12, s13, s23, s25, s34, s46, s56, s57, s78\}$ & 11 & no  & 19 \\
$\{s12, s13, s23, s25, s34, s46, s56, s57, s68\}$ & 11 & no  & 19 \\
$\{s12, s13, s23, s25, s34, s46, s48, s56, s57\}$ & 11 & no  & 19 \\
$\{s12, s13, s18, s23, s25, s34, s47, s56, s67\}$ & 11 & no  & 19 \\
$\{s12, s14, s23, s34, s36, s45, s57, s67, s78\}$ & 11 & no  & 19 \\
$\{s12, s15, s23, s34, s38, s45, s56, s57, s67\}$ & 11 & no  & 19 \\
$\{s12, s15, s23, s34, s37, s45, s56, s67, s78\}$ & 11 & no  & 19 \\
$\{s12, s15, s23, s34, s37, s45, s56, s58, s67\}$ & 11 & no  & 19 \\
$\{s12, s16, s23, s34, s45, s56, s67, s68, s78\}$ & 11 & no  & 19 \\
$\{s12, s16, s23, s34, s45, s56, s58, s67, s78\}$ & 11 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s48, s56, s57, s67, s78\}$ & 11 & no  & 18 \\
$\{s12, s13, s23, s25, s34, s47, s56, s67, s68, s78\}$ & 11 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s35\}$ & 12 & no  & 22 \\
$\{s12, s13, s23, s26, s34, s35\}$ & 12 & no  & 22 \\
$\{s12, s14, s23, s25, s34, s45\}$ & 12 & no  & 22 \\
$\{s12, s14, s23, s34, s45, s46\}$ & 12 & no  & 22 \\
$\{s12, s23, s24, s25, s56, s57\}$ & 12 & no  & 22 \\
$\{s12, s13, s16, s23, s24, s34, s45\}$ & 12 & no  & 21 \\
$\{s12, s13, s23, s24, s34, s35, s67\}$ & 12 & no  & 21 \\
$\{s12, s13, s23, s25, s34, s45, s56\}$ & 12 & no  & 21 \\
$\{s12, s13, s16, s23, s25, s34, s45\}$ & 12 & no  & 21 \\
$\{s12, s13, s23, s34, s45, s46, s47\}$ & 12 & no  & 21 \\
$\{s12, s13, s23, s26, s34, s35, s67\}$ & 12 & no  & 21 \\
$\{s12, s13, s23, s28, s34, s35, s67\}$ & 12 & no  & 21 \\
$\{s12, s14, s23, s25, s34, s45, s67\}$ & 12 & no  & 21 \\
$\{s12, s14, s23, s34, s36, s45, s56\}$ & 12 & no  & 21 \\
$\{s12, s14, s23, s27, s34, s45, s46\}$ & 12 & no  & 21 \\
$\{s12, s14, s23, s26, s34, s37, s45\}$ & 12 & no  & 21 \\
$\{s12, s14, s23, s34, s45, s48, s67\}$ & 12 & no  & 21 \\
$\{s12, s23, s24, s25, s56, s58, s67\}$ & 12 & no  & 21 \\
$\{s12, s13, s23, s24, s34, s45, s56, s57\}$ & 12 & no  & 20 \\
$\{s12, s13, s23, s24, s34, s35, s67, s78\}$ & 12 & no  & 20 \\
$\{s12, s13, s23, s26, s34, s35, s67, s78\}$ & 12 & no  & 20 \\
$\{s12, s13, s23, s26, s34, s35, s67, s68\}$ & 12 & no  & 20 \\
$\{s12, s13, s17, s23, s25, s34, s46, s56\}$ & 12 & no  & 20 \\
$\{s12, s13, s23, s25, s34, s56, s57, s58\}$ & 12 & no  & 20 \\
$\{s12, s13, s18, s23, s25, s34, s47, s56\}$ & 12 & no  & 20 \\
$\{s12, s13, s16, s23, s25, s34, s67, s68\}$ & 12 & no  & 20 \\
$\{s12, s14, s23, s25, s34, s45, s67, s78\}$ & 12 & no  & 20 \\
$\{s12, s14, s23, s26, s34, s45, s56, s67\}$ & 12 & no  & 20 \\
$\{s12, s14, s23, s26, s34, s45, s56, s78\}$ & 12 & no  & 20 \\
$\{s12, s14, s23, s34, s45, s56, s57, s58\}$ & 12 & no  & 20 \\
$\{s12, s14, s23, s27, s34, s45, s46, s78\}$ & 12 & no  & 20 \\
$\{s12, s14, s23, s27, s28, s34, s45, s46\}$ & 12 & no  & 20 \\
$\{s12, s14, s23, s34, s36, s45, s57, s67\}$ & 12 & no  & 20 \\
$\{s12, s14, s23, s34, s36, s45, s67, s68\}$ & 12 & no  & 20 \\
$\{s12, s14, s23, s34, s36, s45, s58, s67\}$ & 12 & no  & 20 \\
$\{s12, s13, s23, s24, s34, s45, s56, s67, s78\}$ & 12 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s45, s56, s67, s68\}$ & 12 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s38, s56, s57, s67\}$ & 12 & no  & 19 \\
$\{s12, s13, s23, s34, s45, s46, s56, s67, s78\}$ & 12 & no  & 19 \\
$\{s12, s13, s23, s28, s34, s45, s46, s56, s67\}$ & 12 & no  & 19 \\
$\{s12, s13, s23, s34, s45, s48, s56, s57, s67\}$ & 12 & no  & 19 \\
$\{s12, s13, s23, s34, s45, s46, s57, s67, s78\}$ & 12 & no  & 19 \\
$\{s12, s13, s23, s28, s34, s45, s46, s57, s67\}$ & 12 & no  & 19 \\
$\{s12, s13, s23, s25, s34, s46, s56, s67, s78\}$ & 12 & no  & 19 \\
$\{s12, s13, s23, s25, s34, s46, s56, s67, s68\}$ & 12 & no  & 19 \\
$\{s12, s13, s23, s25, s34, s47, s56, s58, s67\}$ & 12 & no  & 19 \\
$\{s12, s13, s23, s45, s47, s56, s58, s67, s78\}$ & 12 & no  & 19 \\
$\{s12, s14, s23, s34, s45, s56, s58, s67, s78\}$ & 12 & no  & 19 \\
$\{s12, s14, s23, s26, s34, s45, s57, s67, s78\}$ & 12 & no  & 19 \\
$\{s12, s14, s23, s26, s34, s45, s57, s67, s68\}$ & 12 & no  & 19 \\
$\{s12, s15, s23, s34, s45, s56, s67, s68, s78\}$ & 12 & no  & 19 \\
$\{s12, s17, s23, s34, s45, s56, s58, s67, s78\}$ & 12 & no  & 19 \\
$\{s12, s17, s23, s34, s45, s48, s56, s67, s78\}$ & 12 & no  & 19 \\
$\{s12, s13, s14, s23, s24, s34, s56, s57, s67, s78\}$ & 12 & no  & 18 \\
$\{s12, s13, s14, s23, s24, s34, s56, s58, s67, s78\}$ & 12 & no  & 18 \\
$\{s12, s13, s23, s24, s34, s45, s56, s67\}$ & 13 & no  & 20 \\
$\{s12, s13, s23, s24, s34, s45, s58, s67\}$ & 13 & no  & 20 \\
$\{s12, s13, s23, s25, s34, s46, s56, s57\}$ & 13 & no  & 20 \\
$\{s12, s13, s16, s23, s25, s34, s67, s78\}$ & 13 & no  & 20 \\
$\{s12, s14, s23, s34, s36, s45, s67, s78\}$ & 13 & no  & 20 \\
$\{s12, s15, s23, s34, s45, s47, s56, s78\}$ & 13 & no  & 20 \\
$\{s12, s15, s23, s34, s37, s45, s48, s56\}$ & 13 & no  & 20 \\
$\{s12, s13, s14, s23, s24, s34, s56, s57, s67\}$ & 13 & no  & 19 \\
$\{s12, s13, s14, s23, s24, s34, s56, s67, s78\}$ & 13 & no  & 19 \\
$\{s12, s13, s14, s23, s24, s34, s56, s67, s68\}$ & 13 & no  & 19 \\
$\{s12, s13, s23, s24, s34, s48, s56, s57, s67\}$ & 13 & no  & 19 \\
$\{s12, s13, s23, s34, s45, s56, s57, s58, s67\}$ & 13 & no  & 19 \\
$\{s12, s13, s23, s25, s34, s47, s56, s67, s78\}$ & 13 & no  & 19 \\
$\{s12, s13, s23, s45, s46, s56, s67, s68, s78\}$ & 13 & no  & 19 \\
$\{s12, s13, s23, s45, s47, s56, s67, s68, s78\}$ & 13 & no  & 19 \\
$\{s12, s16, s23, s34, s38, s45, s56, s67, s78\}$ & 13 & no  & 19 \\
$\{s12, s17, s23, s34, s45, s56, s67, s68, s78\}$ & 13 & no  & 19 \\
$\{s12, s13, s23, s34, s35, s45\}$ & 14 & no  & 22 \\
$\{s12, s13, s23, s34, s35, s56\}$ & 14 & no  & 22 \\
$\{s12, s23, s34, s36, s37, s45\}$ & 14 & no  & 22 \\
$\{s12, s13, s23, s24, s34, s45, s56\}$ & 14 & no  & 21 \\
$\{s12, s13, s23, s34, s35, s45, s67\}$ & 14 & no  & 21 \\
$\{s12, s13, s23, s34, s35, s56, s67\}$ & 14 & no  & 21 \\
$\{s12, s13, s23, s34, s35, s58, s67\}$ & 14 & no  & 21 \\
$\{s12, s13, s16, s23, s25, s34, s67\}$ & 14 & no  & 21 \\
$\{s12, s14, s23, s26, s34, s45, s56\}$ & 14 & no  & 21 \\
$\{s12, s14, s23, s34, s36, s45, s67\}$ & 14 & no  & 21 \\
$\{s12, s15, s23, s34, s45, s56, s57\}$ & 14 & no  & 21 \\
$\{s12, s23, s34, s45, s47, s48, s56\}$ & 14 & no  & 21 \\
$\{s12, s13, s14, s23, s24, s34, s56, s67\}$ & 14 & no  & 20 \\
$\{s12, s13, s14, s23, s24, s34, s56, s78\}$ & 14 & no  & 20 \\
$\{s12, s13, s23, s24, s34, s45, s67, s78\}$ & 14 & no  & 20 \\
$\{s12, s13, s23, s34, s35, s45, s67, s78\}$ & 14 & no  & 20 \\
$\{s12, s13, s23, s25, s34, s45, s67, s78\}$ & 14 & no  & 20 \\
$\{s12, s13, s23, s34, s45, s46, s56, s67\}$ & 14 & no  & 20 \\
$\{s12, s13, s23, s34, s45, s46, s57, s67\}$ & 14 & no  & 20 \\
$\{s12, s13, s23, s34, s45, s46, s67, s68\}$ & 14 & no  & 20 &\text{NA}\\
$\{s12, s13, s23, s34, s45, s46, s58, s67\}$ & 14 & no  & 20 &\text{NA}\\
$\{s12, s13, s23, s34, s35, s56, s67, s78\}$ & 14 & no  & 20 &\text{NA}\\
$\{s12, s13, s23, s34, s35, s56, s67, s68\}$ & 14 & no  & 20 &\text{NA}\\
$\{s12, s13, s23, s25, s34, s46, s56, s67\}$ & 14 & no  & 20 \\
$\{s12, s13, s23, s25, s34, s46, s56, s78\}$ & 14 & no  & 20 &\text{NA}\\
$\{s12, s13, s23, s25, s34, s56, s57, s78\}$ & 14 & no  & 20 &\text{NA}\\
$\{s12, s13, s23, s25, s34, s48, s56, s57\}$ & 14 & no  & 20 \\
$\{s12, s14, s23, s34, s45, s56, s57, s78\}$ & 14 & no  & 20 &\text{NA}\\
$\{s12, s14, s23, s26, s34, s45, s57, s67\}$ & 14 & no  & 20 \\
$\{s12, s14, s23, s26, s34, s45, s67, s78\}$ & 14 & no  & 20 &\text{NA}\\
$\{s12, s14, s23, s26, s34, s45, s67, s68\}$ & 14 & no  & 20 &\text{NA}\\
$\{s12, s14, s23, s26, s34, s45, s58, s67\}$ & 14 & no  & 20 &\text{NA}\\
$\{s12, s15, s23, s34, s37, s45, s56, s67\}$ & 14 & no  & 20 \\
$\{s12, s15, s23, s34, s45, s56, s67, s68\}$ & 14 & no  & 20 &\text{NA}\\
$\{s12, s15, s23, s34, s38, s45, s56, s57\}$ & 14 & no  & 20 &\text{NA}\\
$\{s12, s15, s23, s28, s34, s45, s47, s56\}$ & 14 & no  & 20 &\text{NA}\\
$\{s12, s16, s23, s34, s45, s56, s67, s68\}$ & 14 & no  & 20 &\text{NA}\\
$\{s12, s13, s23, s34, s45, s56, s57, s67, s78\}$ & 14 & no  & 19 &\text{NA}\\
$\{s12, s13, s23, s38, s45, s47, s56, s67, s78\}$ & 14 & no  & 19 &\text{NA}\\
$\{s12, s13, s23, s24, s34, s56, s57, s67, s68, s78\}$ & 14 & no  & 18 &\text{NA}\\
$\{s12, s13, s14, s23, s24, s34, s56\}$ & 15 & no  & 21 \\
$\{s12, s13, s23, s24, s34, s45, s67\}$ & 15 & no  & 21 \\
$\{s12, s13, s23, s25, s34, s45, s67\}$ & 15 & no  & 21 \\
$\{s12, s13, s18, s23, s25, s34, s67\}$ & 15 & no  & 21&\text{NA} \\
$\{s12, s14, s23, s34, s38, s45, s67\}$ & 15 & no  & 21 &\text{NA}\\
$\{s12, s13, s23, s34, s45, s46, s56, s78\}$ & 15 & no  & 20 &\text{NA}\\
$\{s12, s13, s23, s34, s45, s46, s67, s78\}$ & 15 & no  & 20 &\text{NA}\\
$\{s12, s13, s23, s25, s34, s47, s56, s67\}$ & 15 & no  & 20 \\
$\{s12, s13, s23, s25, s34, s47, s56, s78\}$ & 15 & no  & 20 &\text{NA}\\
$\{s12, s15, s23, s34, s45, s56, s67, s78\}$ & 15 & no  & 20 &\text{NA}\\
$\{s12, s15, s23, s34, s37, s45, s56, s78\}$ & 15 & no  & 20 &\text{NA}\\
$\{s12, s16, s23, s34, s45, s56, s58, s67\}$ & 15 & no  & 20 &\text{NA}\\
$\{s12, s13, s23, s38, s45, s46, s56, s67, s78\}$ & 15 & no  & 19 &\text{NA}\\
$\{s12, s13, s14, s23, s24, s34\}$ & 16 & no  & 22 \\
$\{s12, s13, s23, s24, s34, s45\}$ & 16 & no  & 22 \\
$\{s12, s13, s23, s25, s34, s45\}$ & 16 & no  & 22 \\
$\{s12, s13, s16, s23, s25, s34\}$ & 16 & no  & 22 \\
$\{s12, s14, s23, s34, s36, s45\}$ & 16 & no  & 22 \\
$\{s12, s13, s23, s25, s34, s46, s56\}$ & 16 & no  & 21 \\
$\{s12, s13, s23, s25, s34, s56, s57\}$ & 16 & no  & 21 \\
$\{s12, s14, s23, s34, s45, s56, s57\}$ & 16 & no  & 21 \\
$\{s12, s14, s23, s26, s34, s45, s67\}$ & 16 & no  & 21 \\
$\{s12, s14, s23, s28, s34, s45, s67\}$ & 16 & no  & 21 \\
$\{s12, s15, s23, s34, s45, s47, s56\}$ & 16 & no  & 21 \\
$\{s12, s23, s34, s36, s45, s67, s68\}$ & 16 & no  & 21&\text{NA} \\
$\{s12, s23, s24, s45, s48, s56, s57\}$ & 16 & no  & 21&\text{NA} \\
$\{s12, s13, s23, s34, s45, s56, s57, s58\}$ & 16 & no  & 20 &\text{NA}\\
$\{s12, s13, s23, s25, s34, s56, s67, s78\}$ & 16 & no  & 20 &\text{NA}\\
$\{s12, s13, s23, s25, s34, s56, s67, s68\}$ & 16 & no  & 20 &\text{NA}\\
$\{s12, s14, s23, s34, s45, s56, s67, s78\}$ & 16 & no  & 20&\text{NA} \\
$\{s12, s14, s23, s34, s45, s56, s67, s68\}$ & 16 & no  & 20 &\text{NA}\\
$\{s12, s16, s23, s34, s45, s56, s67, s78\}$ & 16 & no  & 20&\text{NA} \\
$\{s12, s16, s23, s34, s45, s48, s56, s67\}$ & 16 & no  & 20 \\
$\{s12, s13, s23, s24, s34, s56, s57, s67, s78\}$ & 16 & no  & 19 &\text{NA}\\
$\{s12, s13, s23, s28, s38, s45, s47, s56, s67\}$ & 16 & no  & 19 &\text{NA}\\
$\{s12, s13, s23, s34, s45, s46, s56\}$ & 17 & no  & 21 \\
$\{s12, s13, s23, s34, s45, s46, s67\}$ & 17 & no  & 21 \\
$\{s12, s13, s23, s25, s34, s47, s56\}$ & 17 & no  & 21 \\
$\{s12, s23, s34, s38, s45, s47, s56\}$ & 17 & no  & 21 \\
$\{s12, s13, s23, s34, s45, s56, s57, s67\}$ & 17 & no  & 20 \\
$\{s12, s13, s23, s34, s45, s56, s57, s78\}$ & 17 & no  & 20 &\text{NA}\\
$\{s12, s13, s23, s45, s46, s56, s67, s68\}$ & 17 & no  & 20 &\text{NA}\\
$\{s12, s16, s23, s34, s38, s45, s56, s67\}$ & 17 & no  & 20 &\text{NA}\\
$\{s12, s17, s23, s34, s45, s56, s67, s78\}$ & 17 & no  & 20 &\text{NA}\\
$\{s12, s13, s23, s34, s35\}$ & 18 & no  & 23 \\
$\{s12, s23, s24, s25, s56\}$ & 18 & no  & 23 \\
$\{s12, s13, s23, s34, s35, s67\}$ & 18 & no  & 22 \\
$\{s12, s14, s23, s26, s34, s45\}$ & 18 & no  & 22 \\
$\{s12, s23, s24, s25, s56, s67\}$ & 18 & no  & 22 \\
$\{s12, s34, s45, s46, s47, s78\}$ & 18 & no  & 22 &\text{NA}\\
$\{s12, s13, s23, s34, s45, s48, s67\}$ & 18 & no  & 21 &\text{NA}\\
$\{s12, s13, s23, s34, s35, s67, s78\}$ & 18 & no  & 21 &\text{NA}\\
$\{s12, s13, s23, s25, s34, s56, s67\}$ & 18 & no  & 21 \\
$\{s12, s13, s23, s25, s34, s58, s67\}$ & 18 & no  & 21 &\text{NA}\\
$\{s12, s14, s23, s34, s45, s56, s67\}$ & 18 & no  & 21 \\
$\{s12, s14, s23, s34, s45, s58, s67\}$ & 18 & no  & 21 &\text{NA}\\
$\{s12, s15, s23, s34, s45, s56, s67\}$ & 18 & no  & 21 \\
$\{s12, s15, s23, s34, s37, s45, s56\}$ & 18 & no  & 21 \\
$\{s12, s23, s24, s45, s48, s56, s67\}$ & 18 & no  & 21 \\
$\{s12, s23, s24, s25, s56, s67, s78\}$ & 18 & no  & 21 &\text{NA}\\
$\{s12, s23, s24, s25, s56, s67, s68\}$ & 18 & no  & 21 &\text{NA}\\
$\{s12, s13, s23, s24, s34, s56, s57, s67\}$ & 18 & no  & 20 \\
$\{s12, s13, s23, s24, s34, s56, s67, s78\}$ & 18 & no  & 20 &\text{NA}\\
$\{s12, s13, s23, s24, s34, s56, s67, s68\}$ & 18 & no  & 20 &\text{NA}\\
$\{s12, s13, s23, s34, s45, s56, s67, s78\}$ & 18 & no  & 20 &\text{NA}\\
$\{s12, s13, s23, s34, s45, s56, s67, s68\}$ & 18 & no  & 20 &\text{NA}\\
$\{s12, s13, s23, s45, s46, s56, s58, s67\}$ & 18 & no  & 20 &\text{NA}\\
$\{s12, s13, s23, s45, s47, s56, s67, s78\}$ & 18 & no  & 20 &\text{NA}\\
$\{s12, s18, s23, s34, s45, s56, s67, s78\}$ & 18 & no  & 20 &\text{NA}\\
$\{s12, s15, s23, s34, s45, s58, s67\}$ & 19 & no  & 21 &\text{NA}\\
$\{s12, s23, s34, s36, s45, s67, s78\}$ & 19 & no  & 21 &\text{NA}\\
$\{s12, s13, s23, s45, s46, s56, s67, s78\}$ & 19 & no  & 20 &\text{NA}\\
$\{s12, s13, s23, s45, s48, s56, s67, s78\}$ & 19 & no  & 20 &\text{NA}\\
$\{s12, s13, s23, s34, s45, s46\}$ & 20 & no  & 22 \\
$\{s12, s13, s23, s25, s34, s56\}$ & 20 & no  & 22 \\
$\{s12, s14, s23, s34, s45, s56\}$ & 20 & no  & 22 \\
$\{s12, s23, s24, s45, s47, s56\}$ & 20 & no  & 22 \\
$\{s12, s13, s23, s24, s34, s56, s67\}$ & 20 & no  & 21 \\
$\{s12, s13, s23, s24, s34, s56, s78\}$ & 20 & no  & 21 &\text{NA}\\
$\{s12, s13, s23, s34, s45, s56, s57\}$ & 20 & no  & 21 \\
$\{s12, s13, s23, s25, s34, s67, s78\}$ & 20 & no  & 21 &\text{NA}\\
$\{s12, s14, s23, s34, s45, s67, s78\}$ & 20 & no  & 21 &\text{NA}\\
$\{s12, s16, s23, s34, s45, s56, s67\}$ & 20 & no  & 21 \\
$\{s12, s23, s34, s45, s48, s56, s67\}$ & 20 & no  & 21 &\text{NA}\\
$\{s12, s23, s24, s45, s56, s58, s67\}$ & 20 & no  & 21 &\text{NA}\\
$\{s12, s13, s23, s38, s45, s46, s56, s67\}$ & 20 & no  & 20 &\text{NA}\\
$\{s12, s13, s23, s38, s45, s47, s56, s67\}$ & 20 & no  & 20 &\text{NA}\\
$\{s12, s14, s23, s34, s56, s58, s67, s78\}$ & 20 & no  & 20 &\text{NA}\\
$\{s12, s13, s23, s34, s45, s56, s67\}$ & 21 & no  & 21 \\
$\{s12, s13, s23, s34, s45, s58, s67\}$ & 21 & no  & 21 &\text{NA}\\
$\{s12, s23, s34, s45, s56, s58, s67\}$ & 21 & no  & 21 &\text{NA}\\
$\{s12, s13, s23, s24, s34, s56\}$ & 22 & no  & 22 \\
$\{s12, s13, s23, s25, s34, s67\}$ & 22 & no  & 22 \\
$\{s12, s14, s23, s34, s45, s67\}$ & 22 & no  & 22 \\
$\{s12, s15, s23, s34, s45, s56\}$ & 22 & no  & 22 \\
$\{s12, s23, s34, s36, s45, s67\}$ & 22 & no  & 22 \\
$\{s12, s23, s24, s45, s48, s67\}$ & 22 & no  & 22 &\text{NA}\\
$\{s12, s13, s23, s34, s48, s56, s67\}$ & 22 & no  & 21 &\text{NA}\\
$\{s12, s13, s23, s45, s56, s57, s58\}$ & 22 & no  & 21 &\text{NA}\\
$\{s12, s15, s23, s34, s45, s67, s78\}$ & 22 & no  & 21 &\text{NA}\\
$\{s12, s16, s23, s34, s45, s56, s78\}$ & 22 & no  & 21 &\text{NA}\\
$\{s12, s17, s23, s34, s45, s56, s67\}$ & 22 & no  & 21 \\
$\{s12, s23, s24, s45, s56, s67, s78\}$ & 22 & no  & 21 &\text{NA}\\
$\{s12, s23, s24, s45, s56, s67, s68\}$ & 22 & no  & 21 &\text{NA}\\
$\{s12, s23, s34, s45, s56, s67, s78\}$ & 23 & no  & 21 &\text{NA}\\
$\{s12, s23, s24, s25\}$ & 24 & no  & 24 \\
$\{s12, s13, s23, s24, s34\}$ & 24 & no  & 23 \\
$\{s12, s13, s23, s25, s34\}$ & 24 & no  & 23 \\
$\{s12, s14, s23, s34, s45\}$ & 24 & no  & 23 \\
$\{s12, s23, s24, s45, s46\}$ & 24 & no  & 23 \\
$\{s12, s34, s45, s46, s47\}$ & 24 & no  & 23 \\
$\{s12, s13, s23, s34, s45, s56\}$ & 24 & no  & 22 \\
$\{s12, s23, s34, s45, s47, s56\}$ & 24 & no  & 22 \\
$\{s12, s23, s24, s45, s56, s57\}$ & 24 & no  & 22 \\
$\{s12, s28, s34, s45, s46, s47\}$ & 24 & no  & 22 \\
$\{s12, s13, s23, s34, s56, s67, s68\}$ & 24 & no  & 21 &\text{NA}\\
$\{s12, s13, s23, s45, s46, s56, s67\}$ & 24 & no  & 21 \\
$\{s12, s13, s23, s45, s47, s56, s67\}$ & 24 & no  & 21 \\
$\{s12, s13, s23, s38, s45, s56, s67\}$ & 24 & no  & 21 &\text{NA}\\
$\{s12, s13, s23, s45, s56, s57, s78\}$ & 24 & no  & 21&\text{NA} \\
$\{s12, s14, s23, s34, s56, s67, s78\}$ & 24 & no  & 21&\text{NA} \\
$\{s12, s14, s23, s34, s56, s67, s68\}$ & 24 & no  & 21 &\text{NA}\\
$\{s12, s13, s23, s34, s45, s67\}$ & 25 & no  & 22 \\
$\{s12, s23, s34, s38, s45, s67\}$ & 25 & no  & 22 \\
$\{s12, s13, s23, s45, s56, s67, s78\}$ & 25 & no  & 21 &\text{NA}\\
$\{s12, s15, s23, s34, s45, s67\}$ & 26 & no  & 22 \\
$\{s12, s16, s23, s34, s45, s56\}$ & 26 & no  & 22 \\
$\{s12, s23, s24, s45, s56, s67\}$ & 26 & no  & 22 \\
$\{s12, s23, s24, s45, s58, s67\}$ & 26 & no  & 22 &\text{NA}\\
$\{s12, s13, s23, s45, s46, s56, s78\}$ & 26 & no  & 21 &\text{NA}\\
$\{s12, s13, s23, s34, s45\}$ & 28 & no  & 23 \\
$\{s12, s23, s34, s36, s45\}$ & 28 & no  & 23 \\
$\{s12, s13, s23, s34, s56, s67\}$ & 28 & no  & 22 \\
$\{s12, s13, s23, s38, s45, s67\}$ & 28 & no  & 22 \\
$\{s12, s14, s23, s34, s56, s67\}$ & 28 & no  & 22 \\
$\{s12, s14, s23, s34, s56, s78\}$ & 28 & no  & 22 &\text{NA}\\
$\{s12, s23, s34, s45, s56, s67\}$ & 28 & no  & 22 \\
$\{s12, s23, s24, s45, s67, s78\}$ & 28 & no  & 22 &\text{NA}\\
$\{s12, s23, s34, s45, s58, s67\}$ & 29 & no  & 22 &\text{NA}\\
$\{s12, s15, s23, s34, s45\}$ & 30 & no  & 23 \\
$\{s12, s23, s24, s45, s56\}$ & 30 & no  & 23 \\
$\{s12, s13, s23, s45, s56, s57\}$ & 30 & no  & 22 \\
$\{s12, s23, s34, s45, s67, s78\}$ & 30 & no  & 22 &\text{NA}\\
$\{s12, s23, s34, s56, s67, s68\}$ & 30 & no  & 22 &\text{NA}\\
$\{s12, s27, s28, s34, s45, s46\}$ & 30 & no  & 22 &\text{NA}\\
$\{s12, s13, s23, s45, s46, s56\}$ & 31 & no  & 22 \\
$\{s12, s13, s23, s45, s56, s67\}$ & 31 & no  & 22 \\
$\{s12, s23, s34, s56, s67, s78\}$ & 31 & no  & 22 &\text{NA}\\
$\{s12, s13, s23, s34, s56\}$ & 32 & no  & 23 \\
$\{s12, s14, s23, s34, s56\}$ & 32 & no  & 23 \\
$\{s12, s23, s24, s45, s67\}$ & 32 & no  & 23 \\
$\{s12, s13, s23, s45, s67, s78\}$ & 32 & no  & 22 &\text{NA}\\
$\{s12, s23, s34, s45, s56\}$ & 34 & no  & 23 \\
$\{s12, s13, s23, s34\}$ & 36 & no  & 24 \\
$\{s12, s14, s23, s34\}$ & 36 & no  & 24 \\
$\{s12, s23, s24, s45\}$ & 36 & no  & 24 \\
$\{s12, s23, s34, s45, s67\}$ & 36 & no  & 23 \\
$\{s12, s27, s34, s45, s46\}$ & 36 & no  & 23 \\
$\{s12, s34, s56, s67, s68\}$ & 36 & no  & 23 &\text{NA}\\
$\{s12, s13, s23, s45, s56\}$ & 38 & no  & 23 \\
$\{s12, s23, s34, s56, s67\}$ & 38 & no  & 23 \\
$\{s12, s13, s23, s45, s67\}$ & 39 & no  & 23 \\
$\{s12, s34, s56, s67, s78\}$ & 39 & no  & 23 &\text{NA}\\
$\{s12, s34, s48, s56, s67\}$ & 40 & no  & 23 &\text{NA}\\
$\{s12, s23, s34, s45\}$ & 42 & no  & 24 \\
$\{s12, s34, s45, s46\}$ & 42 & no  & 24 \\
$\{s12, s13, s23, s45\}$ & 46 & no  & 24 \\
$\{s12, s23, s34, s56\}$ & 46 & no  & 24 &490\\
$\{s12, s23, s24\}$ & 48 & no  & 25 & 512\\
$\{s12, s26, s34, s45\}$ & 48 & no  & 24 & 515\\
$\{s12, s34, s56, s67\}$ & 50 & no  & 24 &544\\
$\{s12, s34, s56, s78\}$ & 53 & no  & 24 &\text{NA}\\
$\{s12, s13, s23\}$ & 54 & no  & 25 & 594\\
$\{s12, s23, s34\}$ & 54 & no  & 25 & 594\\
$\{s12, s34, s45\}$ & 60 & no  & 25 &676\\
$\{s12, s34, s56\}$ & 64 & no  & 25 &732\\
$\{s12, s23\}$ & 72 & no  & 26 &840\\
$\{s12, s34\}$ & 78 & no  & 26 &840\\
$\{s12\}$ & 96 & no  & 27 & 1184\\
$\{\}$ & 114 & no  & 28 &1540\\