Abstract:
A one game scratch match play single elimination tournament for league players, including the steps of providing a pool of eligible league players; placing each eligible league player into one of eight divisions, each division being defined by highest average scores attained by league players in current league play; conducting a local first round of competition in which each of the eligible league players in each of the eight divisions engages in one game scratch match play, single elimination, eight-player brackets, until one player prevails in each division and continues on to a regional second round; conducting a regional second round in 512 locations that are geographically distributed as equally as possible in which each of the eight divisions engages in one game scratch match play, single elimination, until one player prevails in each division and continues on to a championship round; conducting a championship round in a single location in which each of the 512 league players who prevail in the regional second round in each of the eight divisions engages in one game scratch match play, single elimination, until 8 tournament champions prevail, one in each of the eight divisions.

Description:
[0001]    The present application claims the benefits of prior-pending U.S. Provisional Patent Application No. 60/396,391, filed Jul. 17, 2002. 
     
    
     
       SUMMARY OF THE INVENTION  
         [0002]    The present invention is a one game scratch match play single elimination tournament that is popularly known as the tournament of millionaires, and that is open to all league bowlers who pay a $1.00 per week entry fee for an entire league season. This fee is to be added to the regular league fees consisting of lineage and league prize fund. Eligible league bowlers will be placed into eight average divisions based according to their highest average in the current league season with a minimum of 60 games. If an eligible league bowler does not have a current average with a minimum of 60 games then they can use their highest average in the last three years or they can use their highest lifetime average with a minimum of 60 games. League bowlers who bowl and pay partial league seasons will be allowed to bowl in the tournament if they meet the minimum number of games requirement. Some league teams have more members than the league maximum weekly requirement such as seven regular paying members on a five-member league team. The bowling lane proprietor will make the decision on all bowler eligibility. They can either require the partial league season bowler to pay the difference in tournament prize fund money between a full season league bowler and the partial league season bowler from that particular league or they can absorb the loss. This is one reason why the tournament doesn&#39;t take 100% of the tournament prize fund money. The goal of this tournament is to be fair to proprietors of bowling lanes and their league bowlers. If an eligible league bowler does not meet any of the above rules for establishing a tournament average, then the proprietor can place the eligible league bowler in an appropriate average division based on the proprietor&#39;s knowledge of the game. The tournament management reserves the rights to readjust any bowlers average at any time during the tournament. Any bowler whose average has been readjusted will be placed in another average division.  
           [0003]    All eligible league bowlers will be separated by their averages into Eight Different Average Divisions. In Division I are averages 215 or more. In Division II are averages 200 to 214. In Division III are averages 185 to 199. In Division IV are averages 170 to 184. In Division V are averages 155 to 169. In Division VI are averages 140 to 154. In Division VII are averages 125 to 139. In Division VIII are averages 124 or less. One tournament champion will come from each of these average divisions. Eligible tournament bowlers will compete only against other bowlers within their average division in all rounds of competition. With this format bowlers of equal ability will be competing against bowlers of the same ability.  
           [0004]    This tournament will consist of three separate rounds of competition. The First Round will be held locally. It is the only round an eligible league bowler can have multiple entries in the tournament. Entries in the First Round will be based on the number of leagues in which a bowler pays and participates. Bowl and pay in one league gets a bowler one entry in the First Round. Bowl and pay in two leagues gets a bowler two entries in the First Round, etc.  
           [0005]    Before the First Round begins the bowling lane proprietor will compile a list of all of the bowlers in their center and sort the eligible bowlers from the ineligible bowlers. They will sort the eligible bowlers into the appropriate eight average divisions while also listing the number of entries a bowler is entitled to have based upon the number of leagues in which they bowled and paid.  
           [0006]    The First Round will be one game scratch match play single elimination eight-bowler brackets with one person prevailing and continuing on to the Second Round. In other words, win three games in a row in an eight-bowler bracket and you go on to the Second Round.  
           [0007]    All eight-bowler brackets will be randomly drawn. Bowler One will bowl Bowler Two, Bowler Three will bowl Bowler Four, Bowler Five will bowl Bowler Six, Bowler Seven will bowl Bowler Eight in the first game of the match game. The winner between Bowler One and Bowler Two will bowl one game against the winner between Bowler Three and Bowler Four. The winner between Bowler Five and Bowler Six will bowl one game against the winner of the match between Bowler Seven and Bowler Eight. The winners of these matches will bowl one game with the winner of this match going on to the Second Round. For example:  
                                                               1                           1           2                   1           3               3           4                       1           5               5           6                   5           7               7           8                      
 
           [0008]    One game match play will have two bowlers on a pair of lanes. One bowler will be assigned the left lane and the other bowler will be assigned the right lane. The bowler on the left lane will start the game and complete one frame on that lane. The bowler on the right lane will bowl two frames one on each lane starting with the right lane. From this moment on both bowlers will take turns bowling two frames at a time one frame on each lane until the bowler who started on the right lane has completed their game. Followed by one frame on the right lane from the bowler who started on the left lane, thus completing one game of match play. This procedure of match play is called pro style.  
           [0009]    If there are ties in match play, then they shall be broken by a ninth and tenth frame roll-off. The bowler who finished the match on the left lane bowls the ninth frame of the tie-breaker on the left lane. The opponent bowls their ninth frame on the right lane and the tenth frame on the left lane. The first bowler then bowls the tenth frame on the right lane completing the tie-breaker. If a tie exists after the roll-off, the sequence is repeated until a winner is determined.  
           [0010]    The seven losing bowlers in an eight-bowler bracket are out of the tournament unless they have more entries left or they are randomly chosen to fill any of the remaining eight-bowler brackets that need seven or fewer bowlers. Bowlers with the most entries will have the first preference in filling those eight-bowler brackets that need seven or fewer bowlers. Bowlers with an equal number of entries will be randomly drawn in order to fill those eight-bowler brackets that need seven or fewer bowlers. The eight-bowler brackets will continue until every bowler&#39;s entries have been used except for those bowlers with unused entries who have qualified for the Second Round by winning their eight-bowler bracket.  
           [0011]    Those bowlers who have used all of the entries are out of the tournament unless there are eight-bowler brackets that need seven or fewer bowlers and all of the bowlers with entries have been used. These bowlers will be placed in a random drawing to choose the bowlers to fill the available spots. If more bowlers are needed to fill any of the eight-bowler brackets and they have used all of their entries, then first preference will be given to those bowlers who were not chosen to fill any of the previous random drawings. If there are less than eight bowlers available to fill an eight-bowler bracket, then the bowlers with the most unused entries will be given first preference to any byes in the first game of match play. If the bowlers have an equal number of entries, then there will be a random drawing for the placement of the bowlers in the eight-bowler bracket. If a bowling center has too few bowlers to fill one eight-bowler bracket in one of the average divisions, then the tournament director will chose another center for those bowlers to compete in the First Round.  
           [0012]    The Second Round will be held regionally in 512 separate locations. These locations will be as equally distributed as possible. In other words Detroit will have more Second Round locations than San Francisco because there are currently more league bowlers in Detroit than there are in San Francisco. The First Round winners will be placed in Second Round locations as close to their local center as possible. The Second Round bowlers will compete in one game scratch match play single elimination until one bowler prevails undefeated. If byes are needed then they will occur in the first game of the Second Round. This will be accomplished by subtracting the total number of bowlers over 64 or 128 and then subtracting that number from the same 64 or 128 in order to get the number of byes needed in the Second Round. The Second Round will have random drawings in order to determine byes and match play opponents. All bowlers will be treated equally with no preferences.  
           [0013]    If there are 65 bowlers in the Second Round location then you subtract 64 from 65 to get 1. (65−64=1) Now subtract 1 from 64 to get the number of bowlers receiving a bye in the first game of match play in the Second Round. (64−1=63) So 63 bowlers will receive a one game bye in the first game of match play in the Second Round. The first game of match play in the Second Round will have 2 bowlers (65−63=2) competing against each other. There will be a random drawing for these 2 bowlers in order to match up opponents and lane assignments. The second game of match play will consist of the 63 bowlers who had received byes and the 1 winner from the first game of match play. These 64 bowlers (63+1=64) will be placed in a random drawing in order to match up opponents and lane assignments. All match play losers will be finished in the tournament. All match play winners will continue competing in one game scratch match play until one bowler has qualified for the Championship Round.  
           [0014]    If there are 98 bowlers in the Second Round location then you subtract 64 from 98 to get 34. (98−64=34) Now subtract 34 from 64 to get the number of bowlers receiving a bye in the first game of match play in the Second Round. (64−34=30) So 30 bowlers will receive a one game bye in the first game of match play in the Second Round. The first game of match play in the Second Round will have 68 bowlers (98−30=68) competing against each other. There will be a random drawing for these 68 bowlers in order to match up opponents and lane assignments. The second game of match play will consist of the 30 bowlers who had received byes and the 34 winners from the first game of match play. These 64 bowlers (30+34=64) will be placed in a random drawing in order to match up opponents and lane assignments. All match play losers will be finished in the tournament. All match play winners will continue competing in one game scratch match play until one bowler has qualified for the Championship Round.  
           [0015]    If there are 137 bowlers in the Second Round location then you subtract 128 from 137 to get 9. (137−128=9) Now subtract 9 from 128 to get the number of bowlers receiving a bye in the first game of match play in the Second Round (128−9=119). So 119 bowlers will receive a one game bye in the first game of match play in the Second Round. The first game of match play in the Second Round will have 18 bowlers (137−119=18) competing against each other. There will be a random drawing for thesel 8 bowlers in order to match up opponents and lane assignments. The second game of match play will consist of the 119 bowlers who had received byes and the 9 winners from the first game of match play. These 128 bowlers (119+9=128) will be placed in a random drawing in order to match up opponents and lane assignments. All match play losers will be finished in the tournament. All match play winners will continue competing in one game scratch match play until one bowler has qualified for the Championship Round.  
           [0016]    The Second Round winners will receive an all expense paid trip to compete in the Championship Round. The Championship Round will be held in a large metropolitan city. The 512 Second Round winners of each average division will have a random drawing in order to match up first game opponents and their lane assignments. This will be a one game scratch match play single elimination format. The 512 bowlers in the first game will have 256 winners and 256 losers. The 256 losers will be finished competing in the Championship Round. The 256 winners will have a random drawing in order to match up the second game opponents and their lane assignments. The 256 bowlers in the second game will have 128 winners and 128 losers. The 128 losers will be finished competing in the Championship Round. The 128 winners will have a random drawing in order to match up the third game opponents and their lane assignments. The tournament will continue with this format until there are four bowlers remaining. The 4 remaining bowlers will have a random drawing in order to match up opponents and their lane assignments. There will be two winners and two losers. The losers will bowl against each other to find out who will finish in THIRD PLACE and FOURTH PLACE in the tournament. They will have a random drawing for lane assignments and then they will bowl. The two winners will have a random drawing for lane assignments. They will bowl one game with the winner having won the CHAMPIONSHIP in that average division and the loser finishing in SECOND PLACE. There will be 8 TOURNAMENT CHAMPIONS, one in each Average Division.  
           [0017]    Now that the championship process has been described, it is time to describe the tournament prize fund. There are approximately 3,200,000 sanctioned winter-season league bowlers. These bowlers compete in winter leagues from 30 to 36 weeks each year. The tournament of the present invention will receive $1.00 per week from every league bowler participating in the tournament plus their re-entries in the First Round that comes from multiple league participation. This tournament will not receive any tournament prize fund money from the bowlers who were added to fill a First Round eight bowler bracket after all of their paid entries were used. This tournament will keep $25 per bowler per league for entry use in the tournament prize fund payoff. The bowling lane proprietor will keep all tournament prize fund money in excess of the $25 per bowler per league to be used to pay for First Round tournament in house expenses such as lineage and labor. They will also keep the full entry share of the tournament prize fund from the bowlers who bowled in multiple leagues and qualified for the Second Round before they used all of their entries. With 100% national participation the tournament prize fund will receive $80,000,000. (3,200,000×$25=$80,000,000) The following is what the tournament prize payoff will approximately look like with 100%, 50%, and 25% national league participation.  
                                                               % of   100%   50%   25%           participation           Total Prize   $80,000,000   $40,000,000   $20,000,000           Fund   (3,200,000 ×   (1,600,000 ×   (800,000 ×               $25)   $25)   $25)           FIRST PLACE   $2,000,000   $1,000,000   $400,000           per average           division           SECOND   $1,000,000   $500,000   $200,000           THIRD   $500,000   $250,000   $100,000           FOURTH   $250,000   $125,000   $50,000           5th thru 8th   $125,000   $60,000   $25,000           9th thru 16th   $60,000   $30,000   $12,500           17th thru 32nd   $30,000   $16,000   $6,250           33rd thru 60   $16,000   $8,000   $3,125           65th thru 1281h   $8,000   $4,000   $1,600           129th thru 256th   $4,000   $2,000   $800           257th thru 512th   $2,000   $1,000   $400           Sec. Rd.   $1,000           runner-up           1025 th     $500           thru 2048th                      
 
           [0018]    The 512 bowlers from each average division who qualified to bowl in the Championship Round will get an all expense paid trip to the location of the Championship Round. (transportation, food, and lodging) 
       
    
    
     DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENT  
       [0019]    Before the First Round begins the bowling lane proprietor will compile a list of all of the bowlers in their center and sort the eligible bowlers from the ineligible bowlers. They will sort the eligible bowlers into one of the appropriate eight Average Divisions while also listing the number of entries each bowler is entitled to have due to the number of leagues they bowled and paid in.  
                                                                                             PAID                       NAME   MEMBER   SUB   GAMES   Average                                        1 Aaron   PM       102   198               PM       108   195               PM       99   195               PM       102   191           2 Abram       SUB   36   141           3 Adam   PM       75   143               PM       99   143           4 Agnes       SUB   18   137           5 Alan   PM       90   119           6 Alex   PM       108   192               PM       99   192               PM       99   191                   SUB   15   201           7 Alice   PM       102   184           8 Alma       SUB   66   148                   SUB   18   145           9 Alvin   PM       75   121           10 Amie   PM       102   129           11 Amon   PM       99   136           12 Amos   PM       102   145           13 Amy   PM       96   193           14 Angie   PM       90   200           15 Anita   PM       78   126           16 Ann   PM       99   129           17 Avery       SUB   15   222           18 Barbara   PM       105   186               PM       108   185           19 Barney   PM       96   142           20 Barry   PM       75   165           21 Basil       SUB   39   186           22 Beau   PM       66   154               PM       99   151           23 Belle   PM       81   187           24 Bess       SUB   24   177           25 Beth       SUB   15   153           26 Betsy       SUB   39   157           27 Billy   PM       78   148           28 Bob   PM       102   177               PM       102   172               PM       102   169           29 Brent   PM       96   133           30 Brett   PM       69   108           31 Carol   PM       90   162           32 Cary   PM       108   191           33 Cecil       SUB   42   186           34 Chloe   PM       96   168           35 Chris   PM       90   182           36 Claire   PM       90   156           37 Claude   PM       96   177           38 Claudia   PM       90   131           39 Clyde   PM       90   137           40 Colin   PM       102   139           41 Cora       SUB   18   121           42 Curt       SUB   69   205           43 Dale   PM       99   174           44 Dan   PM       96   183           45 Daphne   PM       84   143           46 Dave   PM       99   201           47 David   PM       90   168               PM       90   165           48 Dawayn   PM       69   143           49 Dawn   PM       90   147               PM       99   137           50 Dean       SUB   39   202           51 Diana   PM       90   207               PM       102   198           52 Dick   PM       78   154               PM       60   153           53 Dolly       SUB   24   131           54 Don   PM       99   214               PM       102   212               PM       102   211           55 Doris       SUB   18   165           56 Doug       SUB   33   195           57 Drew       SUB   24   191           58 Dusty   PM       75   169           59 Earl   PM       87   154           60 Ed       SUB   75   217                   SUB   54   216           61 Edna   PM       84   168           62 Ellen       SUB   18   149           63 Ernest   PM       81   149           64 Eric   PM       90   181           65 Eugene   PM       105   194               PM       105   194               PM       105   193           66 Eve       SUB   48   181           67 Ezra   PM       90   169               PM       90   161               PM       90   160           68 Faye   PM       99   215           69 Felix   PM       84   120           70 Flora   PM       102   117           71 Fred   PM       66   111           72 Gabe   PM       96   221           73 Gail       SUB   33   142           74 Gary   PM       60   131           75 Gene   PM       90   153               PM       96   149           76 George   PM       108   213               PM       99   213               PM       108   212           77 Glen   PM       102   202               PM       90   200           78 Gloria   PM       72   127           79 Greg   PM       81   139           80 Gus   PM       93   178           81 Guy       SUB   15   211           82 Hans       SUB   9   173           83 Heidi   PM       87   147           84 Helen       SUB   18   172           85 Henry   PM       78   137           86 Herman   PM       99   176           87 Hugh   PM       90   131           88 Ida   PM       84   123           89 Ira   PM       108   189           90 Iris   PM       90   108           91 Ivan   PM       90   157           92 Jack   PM       108   175           93 Jacob   PM       108   209               PM       102   208           94 James   PM       90   187           95 Jane   PM       75   141           96 Janet   PM       99   128           97 Janice   PM       69   129           98 Jason       SUB   6   198           99 Jay   PM       96   138           100 Jeanie   PM       90   155           101 Jeff   PM       102   185               PM       108   184           102 Jenny   PM       84   186           103 Jill   PM       72   135           104 Jim   PM       93   203           105 Joan   PM       72   101           106 John   PM       90   199               PM       108   198           107 Jon   PM       96   132           108 Joy   PM       84   139           109 Joyce   PM       90   129           110 Judy   PM       87   203           111 Julie   PM       78   114           112 Justin   PM       66   175           113 Karen   PM       90   156           114 Karl   PM       96   135           115 Karmylle   PM       72   142           116 Kate       SUB   9   151           117 Ken   PM       108   230               PM       108   228               PM       108   227           118 Lance   PM       69   118           119 Larry   PM       90   171           120 Lee   PM       108   199               PM       90   199               PM       63   198               PM       102   198           121 Loy   PM       108   224           122 Lucy   PM       90   153               PM       90   151           123 Luke   PM       102   199           124 Margot   PM       96   150           125 Mark   PM       105   216               PM       102   215           126 Mary   PM       96   141               PM       102   138           127 Matt   PM       66   170           128 Max   PM       99   169               PM       99   169           129 May       SUB   36   127           130 Melvin   PM       84   157           131 Michelle   PM       69   112           132 Mike   PM       96   218           133 Molly   PM       72   143           134 Nathan   PM       93   186           135 Neal   PM       75   126           136 Ned   PM       84   132           137 Oliver   PM       93   188           138 Oscar   PM       90   124           139 Pam   PM       87   131           140 Pat   PM       90   173           14.1 Paul   PM       90   191           142 Peggy   PM       90   129           143 Penny   PM       84   162           144 Phil   PM       90   186           145 Phoebe   PM       96   126           146 Polly   PM       87   134           147 Rachel   PM       84   137           148 Ralph   PM       90   188           149 Ray   PM       90   138           150 Regan   PM       90   158               PM       66   158           151 Rex   PM       90   117           152 Rita   PM       69   99           153 Robbie   PM       96   166               PM       96   163               PM       102   162           154 Robert   PM       108   196               PM       108   195           155 Ron   PM       90   111           156 Rose   PM       102   185               PM       102   185           157 Roy   PM       90   154           158 Sallie   PM       90   157           159 Sam   PM       108   193               PM       102   193               PM       102   191           160 Sandy   PM       90   134           161 Scott   PM       90   121           162 Sean   PM       108   221           163 Sharon   PM       84   119           164 Steve   PM       108   217           165 Suzie   PM       78   145           166 Tammy   PM       90   131           167 Ted   PM       90   175           168 Terry   PM       108   207               PM       108   202           169 Tess   PM       90   123           170 Tim   PM       90   114           171 Toby   PM       108   210               PM       108   210           172 Tom   PM       108   209           173 Tony   PM       102   161           174 Virgil   PM       96   153           175 Walt   PM       90   146               PM       90   143           176 Wanda       SUB   24   171           177 Wayne   PM       78   190           178 Wendy   PM       81   140           179 Wes   PM       90   124           180 Will   PM       90   121           181 Wilma   PM       84   117           182 Woody   PM       102   205               PM       96   203           183 Yvonne   PM       87   173           184 Zack   PM       84   155           185 Zelda   PM       90   141           186 Zoe   PM       72   109                      
 
         [0020]    There are 27 bowlers who are ineligible to bowl in the tournament because they were non-paying subs in a league (Abram, Agnes,Al ma, Avery, Basil, Bess, Beth, Betsy, Cecil, Cora, Curt, Dean, Dolly, Doris, Doug, Drew, Ed, Ellen, Eve, Gail, Guy, Hans, Helen,Jason, Kate, May, and Wanda).  
         [0021]    There are 159 bowlers who are eligible to bowl in the tournament because they were league bowlers who paid during their league participation. They will be sorted into one of the appropriate eight Average Divisions and have the number of entries listed for each bowler due to the number of leagues they bowled and paid in.  
                                                 1. DIVISION I AVERAGES 215 or MORE                NAME   ENTRIES   AVERAGES                       1. Faye   (1)   215           2. Gabe   (1)   221           3. Ken   (3)   230,228,227           4. Loy   (1)   224           5. Mark   (2)   216,215           6. Mike   (1)   218           7. Sean   (1)   221           8. Steve   (1)   217                      
 
         [0022]    Since there are 8 bowlers in this average division, there will be one eight-bowler bracket with a random drawing in order to match up opponents and lane assignments. Since there are two bowlers with more than one entry (Ken (3) and Mark (2)), there will be at least one more eight-bowler bracket because the brackets are not finished until all of the entries are used by every bowler. The following first game match ups in this eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    Gabe (1)   Gabe (1)               Faye (1)       Sean (1)       Sean (1)   Sean (1)       Ken (3)           Steve (1)       Steve (1)   Steve (1)       Mark (2)       Steve (1)       Mike (1)   Loy (1)       Loy (1)                          
 
         [0023]    Steve has qualified for the Second Round. Since all of the bowlers in this eight-bowler bracket had at least one unused entry, there were eight paid entries that go into the tournament prize fund.  
         [0024]    Since two bowlers still have unused entries (Ken(2) and Mark(1)), there will be another eight-bowler bracket. Since there are only seven bowlers available to bowl in the next eight-bowler bracket, then the bowler with the most unused entries will receive a bye in the first game of this bracket. Ken(2) is that bowler so he will receive a bye in the first game of this bracket. Mark (1) is in this eight-bowler bracket because he has one unused entry. Since Mark (1) did not receive a bye in the first game of this bracket, he will be in a random drawing to match up opponents and lane assignments in this bracket. There are 5 bowlers who have no entries. (Faye(0),Gabe(0),Loy(0),Mike(0),and Sean(0)) These 5 bowlers would be finished with the tournament if not for the need to have enough bowlers to fill this eight-bowler bracket. These 5 bowlers and Mark (1) will have a random drawing in order to match up opponents and lane assignments in this bracket. The following first game match ups in this eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    BYE   Ken (2)               Ken (2)       Loy (0)       Mike (0)   Lay (0)       Loy (0)           Loy (0)       Gabe (0)   Mark (1)       Mark (1)       Mark (1)       Faye (0)   Sean (0)       Sean (0)                          
 
         [0025]    Loy has qualified for the Second Round. There were only two paid entries from this eight-bowler bracket that goes into the tournament prize fund because of the five bowlers with no entries and the bye.  
         [0026]    Since only one bowler (Ken (1)) still has an unused entry, this will be the last eight-bowler bracket in this average division. Since there are only six bowlers available to bowl in the next eight-bowler bracket there will be two byes in the first game of this bracket. The two bowlers with the most unused entries will receive the two byes in the first game of this bracket. Ken (1) is the only bowler with any unused entries so he gets the bye. Since Faye(-0), Gabe(-0), Mike(-0),and Sean(-0) were in the last bracket as fill bowlers with no entries and this is their second bracket to be used as fill bowlers, then Mark(0) gets the other bye because he had an entry in the last bracket and this is his first bracket to be used as a fill bowler. Since Ken(1) and Mark(0) receive byes in the first game, then Faye(-0), Gabe(-0),Mike(-0), and Sean(-0) will have a random drawing in order to match up opponents and lane assignments in the first game of the next bracket. The following first game match ups in this eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    BYE   Ken (1)               Ken (1)       Ken (1)       BYE   Mark (0)       Mark (0)           Ken (1)       Sean (−0)   Sean (−0)       Mike (−0)       Gabe (−0)       Gabe (−0)   Gabe (−0)       Faye (−0)                          
 
         [0027]    Ken has qualified for the Second Round. There was only one paid entry from this eight-bowler bracket that goes into the tournament prize fund because of the five bowlers with no entries and the two byes.  
         [0028]    Since there are no bowlers who have any unused entries, this average division is finished with its brackets. The proprietor owes the tournament prize fund 11 entries. ($25×11=$275) All of the entries were used in the brackets. Three bowlers have qualified to bowl in the Second Round from this the 215 or More Average Division. (Steve, Loy, and Ken)  
                                                 2. DIVISION II AVERAGES 200 to 214                NAME   ENTRIES   AVERAGES                       1. Angie   (1)   200           2. Dave   (1)   201           3. Diana   (1)   207           4. Don   (3)   214,212,211           5. George   (3)   213,213,212           6. Glen   (2)   202,200           7. Jacob   (3)   209,208,208           8. Jim   (1)   203           9. Judy   (1)   203           10. Terry   (2)   207,202           11. Toby   (2)   210,210           12. Tom   (1)   209           13. Woody   (2)   205,203                      
 
         [0029]    The 13 bowlers in this average division will have a random drawing for the first eight-bowler bracket. The eight bowlers&#39; chosen will have a random drawing in order to match up opponents and lane assignments in the first eight-bowler bracket. The following first game match ups in this eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    George (3)   George (3)               Judy (1)       George (3)       Jacob (3)   Terry (2)       Terry (2)           George (3)       Jim (1)   Jim (1)       Glen (2)       Jim (1)       Dave (1)   Dave (2)       Diana (2)                          
 
         [0030]    George has qualified for the Second Round. Since all of the bowlers in this eight-bowler bracket had at least one unused entry, there were eight paid entries that go into the tournament prize fund.  
         [0031]    The five bowlers not chosen will be in the next eight-bowler bracket. Those bowlers from the first eight-bowler bracket who have the most entries remaining will fill the three other spots. There are four bowlers from the first eight-bowler bracket who have entries still remaining. Jacob(2) has more entries then the other bowlers. Jacob(2) receives first preference in the bracket. The other bowlers who each have one entry remaining will be in a random drawing for the other two spots in the eight-bowler bracket. There are three bowlers Terry(1), Glen(1), and Diana(1) in the random drawing. Terry(1) and Diana(1) were drawn for the two remaining spots in this eight-bowler bracket. Glen(1) will be in the next eight-bowler bracket. Judy(0), Jim(0), and Dave(0) are out of the tournament unless there is a need to have bowlers fill any future eight-bowler brackets.  
         [0032]    Don(2), Tom(1), Angie(1), Woody(2), Toby(2), Jacob(2), Terry(1), and Diana(1) are the eight bowlers in the next eight-bowler bracket. Now that the bracket is full, there is a random drawing in order to match up opponents and lane assignments. The following eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    Woody (2)   Woody (2)               Tom (1)       Woody (2)       Angie (1)   Angie (1)       Jacob (2)           Toby (2)       Terry (1)   Toby (2)       Toby (2)       Toby (2)       Don (3)   Don (3)       Diana (1)                          
 
         [0033]    Toby has qualified for the Second Round. Since all of the bowlers in this eight-bowler bracket had at least one unused entry, there were eight paid entries that go into the tournament prize fund.  
         [0034]    Tom(0), Angie(0), Terry(0), and Diana(0) will join Judy(0), Jim(0), and Dave(0) as bowlers who are out of the tournament unless there is a need to have bowlers who have no remaining entries fill any future eight-bowler brackets.  
         [0035]    There are still four bowlers with unused entries. Don(2) has two unused entries. Glen(1) who was not in the last eight-bowler bracket has one unused entry. Woody(1) and Jacob(1) each have one unused entry. The bowlers who have no remaining entries will fill the other four spots in this eight-bowler bracket. Since there are seven bowlers who have no remaining entries, they will be in a random drawing in order to fill the four spots in this eight-bowler bracket. Judy(0), Jim(0), Dave(0),Tom(0), Angie(0), Teny(0), and Diana(0) are the seven bowlers in the random drawing for these four spots in this eight-bowler bracket. Dave(0), Diana(0), Angie(0), and Jim(0) are the four bowlers who were drawn from the random drawing to fill this eight-bowler bracket. Judy(0), Tom(0), and Terry(0) are out of the tournament unless there is a need to have bowlers fill any future eight-bowler brackets.  
         [0036]    Don(2),Glen(1),Woody(1),Jacob(1),Dave(0),Diana(0),Angie(0),and Jim(0) are the eight bowlers in this bracket. Now that the bracket is full, there will be a random drawing in order to match up opponents and lane assignments. The following eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    Woody (1)   Jim (0)               Jim (0)       Diana (0)       Diana (0)   Diana (0)       Jacob (1)           Glen (1)       Angie (0)   Dave (0)       Dave (0)       Glen (1)       Don (2)   Glen (1)       Glen (1)                          
 
         [0037]    Glen has qualified for the Second Round. There were only four paid entries from this eight-bowler bracket that goes into the tournament prize fund because of the four bowlers with no entries.  
         [0038]    Since only one bowler (Don (1)) still has an unused entry, this will be the last eight-bowler bracket in this average division. Bowlers who have no remaining entries will fill the other seven spots in this eight-bowler bracket. The five bowlers (Jacob(0),Judy(0),Terry(0),Tom(0), and Woody(0)) who have no remaining entries and were not drawn to fill any previous brackets will have first preference for five of the seven spots in this bracket over the four bowlers (Angie(-0),Dave(-0),Diana(-0), and Jim(-0))who have no entries remaining and were drawn to fill any previous brackets. So this means there are six spots taken in this eight-bowler bracket with the other two spots to be filled in a random drawing from the four bowlers (Angie(-0),Dave(-0),Diana(-0), and Jim(-0)) who have no remaining entries and were drawn to fill any of the previous brackets. Diana (-0) and Jim (-0) were randomly drawn to fill this bracket.  
         [0039]    These eight bowlers Don (1), Jacob (0), Judy (0), Terry (0), Tom (0), Woody (0), Diana (-0), and Jim (-0) will be in the last eight-bowler bracket. They will have a random drawing in order to match up opponents and lane assignments. The following eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    Diana (−0)   Diana (−0)               Jacob (0)       Diana (−0)       Judy (0)   Judy (0)       Jim (−0)           Tom (0)       Don (1)   Terry (0)       Terry (0)       Tom (0)       Tom (0)   Tom (0)       Woody (0)                          
 
         [0040]    Tom has qualified for the Second Round. There was only one paid entry from this eight-bowler bracket that goes into the tournament prize fund because of the seven bowlers with no entries.  
         [0041]    Since there are no bowlers who have any unused entries, this average division is finished with its brackets. The proprietor owes the tournament prize fund 21 entries. ($25×21=$525) Three entries were not used in the brackets. (George had two and Toby had one.) The proprietor gets to use the money from these unused entries to offset any expenses incurred while running the tournament. Four bowlers have qualified to bowl in the Second Round from this the 200 to 214 AVERAGE DIVISION. (George, Toby, Glen, and Tom)  
                                                 3. DIVISION III AVERAGES 185 to 199                NAME   ENTRIES   AVERAGES                       1. Aaron   (4)   198,195,195,191           2. Alex   (3)   192,192,191           3. Amy   (1)   193           4. Barbara   (2)   186,185           5. Belle   (1)   187           6. Cary   (1)   191           7. Eugene   (3)   194,194,193           8. Ira   (1)   189           9. James   (1)   187           10. Jeff   (2)   185,184           11. Jenny   (1)   186           12. John   (2)   199,198           13. Lee   (4)   199,199,198,198           14. Luke   (1)   199           15. Nathan   (1)   186           16. Oliver   (1)   188           17. Paul   (1)   191           18. Phil   (1)   186           19. Ralph   (1)   188           20. Robert   (2)   196,195           21. Rose   (2)   185,185           22. Sam   (3)   193, 193,191           23. Wayne   (1)   190                      
 
         [0042]    Since there are twenty-three bowlers, there will be two full eight-bowler brackets and one eight-bowler bracket with seven bowlers. All of the bowlers are placed in the three eight-bowler brackets from a random drawing with the two full eight-bowler brackets bowling until a Second Round qualifier from each bracket has been accomplished. While the one eight-bowler bracket with seven bowlers will wait to bowl until the other two full eight-bowler brackets are completed.  
         [0043]    The first full eight-bowler bracket is Jenny(1), Jeff(2), John(2), Eugene(3), Robert(2), Barbara(2), Belle(1), and Paul(1).  
         [0044]    The second full eight-bowler bracket is Sam(3), Amy(1), Cary(1), Lee(4), Aaron(4), Alex(3), Rose(2), and Oliver(1).  
         [0045]    These two eight-bowler brackets will each have separate random drawings in order to match up opponents and lane assignments. The other eight-bowler bracket with seven bowlers will wait until both of the other full eight-bowler brackets are finished in order to fill their eighth spot. These are the seven bowlers in the third eight-bowler bracket. (James(1), Ralph(1), Nathan(1), Ira(1), Luke(1), Wayne(1), and Phil(1)). Jenny(1), Jeff(2), John(2), Eugene(3), Robert(2), Barbara(2), Belle(1), and Paul(1) are the eight bowlers in the first eight-bowler bracket. There is a random drawing in order to match up opponents and lane assignments. The following eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    Eugene (3)   Eugene (3)               Jenny (1)       Robert (2)       Robert (2)   Robert (2)       Barbara (2)           Paul (1)       John (2)   Paul (1)       Paul (1)       Paul (1)       Jeff (2)   Jeff (2)       Belle (1)                          
 
         [0046]    Paul has qualified for the Second Round. Since all of the bowlers in this eight-bowler bracket had at least one unused entry, there were eight paid entries that go into the tournament prize fund.  
         [0047]    Jenny(0) and Belle(0) are out of the tournament unless there is a need to have bowlers who have no remaining entries fill any future eight-bowler brackets.  
         [0048]    Sam(3),Amy(1),Cary(1),Lee(4),Aaron(4),Alex(3),Rose(2), and Oliver(1) are the eight bowlers in the second eight-bowler bracket. There is a random drawing in order to match up opponents and lane assignments. The following eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    Alex (3)   Rose (2)               Rose (2)       Rose (2)       Sam (3)   Sam (3)       Aaron (4)           (2)       Cary (1)   Cary (1)       Oliver (1)       Cary (1)       Lee (4)   Amy (1)       Amy (1)                          
 
         [0049]    Rose has qualified for the Second Round. Since all of the bowlers in this eight-bowler bracket had at least one unused entry, there were eight paid entries that go into the tournament prize fund.  
         [0050]    Cary(0),Oliver(0), and Amy(0) will join Jenny(0) and Belle(0) as bowlers who are out of the tournament unless there is a need to have bowlers who have no remaining entries fill any future eight-bowler brackets.  
         [0051]    There are seven bowlers in the next eight-bowler bracket so there is a need to find one bowler to fill this bracket. That bowler will come from the two previously finished brackets. If they still have any unused entries, the bowler with the most unused entries will have first preference for the one remaining spot in this bracket. There are two bowlers who have the most unused entries. Aaron(3) and Lee(3) both have the most unused entries of the bowlers from the two previously finished brackets. These two bowlers will have a random drawing for the one remaining spot in this bracket. Aaron(3) is the bowler chosen to fill this bracket.  
         [0052]    Aaron(3),Ira(1),James(1),Luke(1),Nathan(1),Phil(1),Ralph(1), and Wayne(1) are the eight bowlers in this bracket. Now that the bracket is full, there is a random drawing in order to match up opponents and lane assignments. The following eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    Nathan (1)   Nathan (1)               Wayne (1)       Phil (1)       Phil (1)   Phil (1)       Aaron (3)           Ira (1)       Ira (1)   Ira (1)       James (1)       Ira (1)       Luke (1)   Ralph (1)       Ralph (1)                          
 
         [0053]    Ira has qualified for the Second Round. Since all of the bowlers in this eight-bowler bracket had at least one unused entry, there were eight paid entries that go into the tournament prize fund.  
         [0054]    Nathan(0),Wayne(0),Phil(0),James(0),Luke(0), and Ralph(0) will join Jenny(0),Belle(0),Cary(0),Oliver(0), and Amy(0) as bowlers who are out of the tournament unless there is a need to have bowlers who have no remaining entries fill any future eight-bowler brackets.  
         [0055]    There are nine bowlers who have unused entries. (Lee(3), Aaron(2), Alex(2), Eugene(2), Sam(2), Robert(1), Barbara(1), John(1), and Jeff(1)). These nine bowlers will have a random drawing to fill the next eight-bowler bracket. One bowler will be left out of this bracket. The bowlers who have the most unused entries will have first preference for the eight spots in this bracket. Lee(3),Aaron(2),Alex(2),Eugene(2), and Sam(2) will occupy five of the eight spots in this bracket.  
         [0056]    Since there are four bowlers who have the fewest unused entries with three spots available, then there will be a random drawing to fill these three remaining spots. Barbara(1),John(1), and Robert(1) are the three bowlers chosen to fill this bracket. Jeff(1) is the bowler left out of this bracket.  
         [0057]    Lee(3),Aaron(2),Alex(2),Eugene(2),Sam(2),Robert(1),Barbara(1), and John(1) are the eight bowlers in this bracket. Now that this bracket is full, there is a random drawing in order to match up opponents and lane assignments. The following eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    Lee (3)   Alex (2)               Alex (2)       Alex (2)       Barbara (1)   Barbara (1)       Robert (1)           Alex (2)       Sam (2)   Sam (2)       John (1)       Sam (2)       Aaron (2)   Eugene (2)       Eugene (2)                          
 
         [0058]    Alex has qualified for the Second Round. Since all of the bowlers in this eight-bowler bracket had at least one unused entry, then there were eight paid entries that go into the tournament prize fund.  
         [0059]    Barbara(0),Robert(0), and John(0) will join Nathan(0), Wayne(0), Phil(0),James(0), Luke(0), Ralph(0),Jenny(0), Belle(0), Cary(0),Oliver(0), and Amy(0) as bowlers who are out of the tournament unless there is a need to have bowlers who have no remaining entries fill any future eight-bowler brackets.  
         [0060]    There are five bowlers who have unused entries, four bowlers Lee(2), Sam(1),Aaron(1), and Eugene(1) from the previous bracket and one bowler Jeff (1) who was left out of the previous bracket. These five bowlers will occupy five of the eight spots in the next bracket. There are three spots remaining to be filled in the next bracket. These three spots will be filled from the bowlers who have no remaining entries in a random drawing.  
         [0061]    Amy(0), Barbara(0), Belle(0), Cary(0), James(0), Jenny(0), John(0), Luke(0), Nathan(0), Oliver(0), Phil(0), Ralph(0), Robert(0),and Wayne(0) are the bowlers in the random drawing. Barbara(0), Phil(0), and Oliver(0) are the three bowlers chosen to fill the next bracket.  
         [0062]    Lee(2), Sam(1), Aaron(1), Eugene(1), Jeff(1), Barbara(0), Phil(0), and Oliver(0) are the eight bowlers in this bracket. Now that the bracket is full there will be a random drawing to match up opponents and lane assignments. The following eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    Phil (0)   Oliver (0)               Oliver (0)       Oliver (0)       Sam (1)   Sam (1)       Aaron (1)           Eugene (1)       Barbara (0)   Jeff (1)       Jeff (1)       Eugene (1)       Lee (2)   Eugene (1)       Eugene (1)                          
 
         [0063]    Eugene has qualified for the Second Round. There were only five paid entries from this eight-bowler bracket that goes into the tournament prize fund because of the three bowlers with no entries.  
         [0064]    Phil(-0),Oliver(-0), and Barbara(-0) are out of the tournament until all of the bowlers who have no entries and were not chosen in random drawings to fill brackets are used.  
         [0065]    Since only one bowler Lee(1) has one unused entry, this will be the last eight-bowler bracket in this average division. The bowlers who have no remaining entries will fill the other seven spots in this eight-bowler bracket. They will be placed in a random drawing to fill the seven remaining spots in this eight-bowler bracket.  
         [0066]    Sam(0),Aaron(0), and Jeff(0), will join Amy(0), Belle(0), Cary(0), James(0),Jenny(0),John(0),Luke(0),Nathan(0),Ralph(0),Robert(0), and Wayne(0) as bowlers who have no remaining entries and were not chosen to fill any previous eight-bowler brackets. These bowlers will have preference over the three bowlers (Phil(-0),Oliver(-0), and Barbara(-0)) who have no remaining entries and were chosen to fill any previous eight-bowler brackets.  
         [0067]    Phil(-0),Oliver(-0), and Barbara(-0) will not be in the random drawing to fill these seven spots because they were already chosen to fill a previous eight-bowler bracket. There are enough bowlers who have no remaining entries and were not chosen to fill any previous eight-bowler brackets to fill the seven available spots.  
         [0068]    Sam(0),Aaron(0),Jeff(0),Amy(0),Belle(0),Cary(0),James(0),Jenny(0), John(0),Luke(0),Nathan(0),Ralph(0),Robert(0), and Wayne(0) will be placed in the random drawing to fill the seven spots in this bracket.  
         [0069]    Ralph(0),Wayne(0), Sam(0), Luke(0), Robert(0), Jenny(0), and Jeff(0) are the seven bowlers chosen from the random drawing to fill the eight-bowler bracket along with Lee(1). Now that the bracket is full, there will be a random drawing to match up opponents and lane assignments. The following eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    Wayne (0)   Wayne (0)               Sam (0)       Wayne (0)       Lee (1)   Lee (1)       Luke (0)           Jenny (0)       Jeff (0)   Robert (0)       Robert (0)       Jenny (0)       Ralph (0)   Jenny (0)       Jenny (0)                          
 
         [0070]    Jenny has qualified for the Second Round. There was only one paid entry from this eight-bowler bracket that goes into the tournament prize fund because of the seven bowlers with no entries.  
         [0071]    This average division is finished with its brackets because there are no bowlers who have any unused entries. The proprietor owes the tournament prize fund 38 entries. ($25×38=$950) Two entries were not used in the brackets. (Rose and Alex had one each.) The proprietor gets to use the money from the unused entries to offset any expenses incurred while running the tournament. Six bowlers have qualified to bowl in the Second Round from this the 185 to 199 AVERAGE DIVISION. (Paul, Rose, Ira, Alex, Eugene and Jenny)  
                                                 4. DIVISION IV AVERAGES 170 to 154                NAME   ENTRIES   AVERAGES                       1. Alice   (1)   184           2. Bob   (3)   177,172,169           3. Chris   (1)   182           4. Claude   (1)   177           5. Dale   (1)   174           6. Dan   (1)   183           7. Eric   (1)   181           8. Gus   (1)   178           9. Herman   (1)   176           10. Jack   (1)   175           11. Justin   (1)   175           12. Larry   (1)   171           13. Matt   (1)   170           14. Pat   (1)   173           15. Ted   (1)   175           16. Yvonne   (1)   173                      
 
         [0072]    There are sixteen bowlers in this average division. All of the bowlers are placed into a random drawing. There will be two eight-bowler brackets. The first eight-bowler bracket is Claude(1), Alice(1), Chris(1), Bob(3), Ted(1), Gus(1), Matt(1), and Eric(1). The second eight-bowler bracket is Pat(1), Larry(1), Jack(1), Yvonne(1), Justin(1), Dan(1), Herman(1), and Dale(1).  
         [0073]    Claude(1),Alice(1),Chris(1),Bob(3),Ted(1),Gus(1),Matt(1), and Eric(1) are the eight bowlers in the first eight-bowler bracket. There is a random drawing in order to match up opponents and lane assignments. The following eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    Ted (1)   Ted (1)               Chris (1)       Matt (1)       Gus (1)   Matt (1)       Matt (1)           Alice (1)       Bob (3)   Claude (1)       Claude (1)       Alice (1)       Eric (1)   Alice (1)       Alice (1)                  
 
         [0074]    8 Paid Entries  
         [0075]    Alice has qualified for the Second Round. Since all of the bowlers in this eight-bowler bracket had at least one unused entry, there were eight paid entries that go into the tournament prize fund.  
         [0076]    Ted(0),Chris(0),Gus(0),Matt(0),Claude(0), and Eric(0) are out of the tournament unless there is a need to have bowlers who have no remaining entries fill any future eight-bowler brackets.  
         [0077]    Pat(1), Larry(1), Jack(1),Yvonne(1), Justin(1), Dan(1), Herman(1), and Dale(1) are the eight bowlers in the second eight-bowler bracket. There will be a random drawing to match up opponents and lane assignments. The following eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    Justin (1)   Justin (1)               Yvonne (1)       Dale (1)       Jack (1)   Dale (1)       Dale (1)           Larry (1)       Dan (1)   Herman (1)       Herman (1)       Larry (1)       Larry (1)   Larry (1)       Pat (1)                          
 
         [0078]    Larry has qualified for the Second Round. Since all of the bowlers in this eight-bowler bracket had one unused entry, there were eight paid entries that go into the tournament prize fund.  
         [0079]    Justin(0),Yvonne(0), Jack(0), Dale(0), Dan(0), Herman(0), and Pat(0) will join Ted(0),Chris(0),Gus(0),Matt(0),Claude(0), and Eric(0) as bowlers who are out of the tournament unless there is a need to have bowlers who have no remaining entries fill any future eight-bowler brackets.  
         [0080]    Since one bowler Bob(2) has at least one unused entry, there will be another eight-bowler bracket. The bowlers who have no remaining entries will fill the other seven spots in this eight-bowler bracket because there are no other bowlers who have any unused entries. All thirteen bowlers who have no remaining entries will be placed in a random drawing to fill the seven spots in this eight-bowler bracket because they all have equal preference.  
         [0081]    Ted(0),Chris(0),Gus(0),Matt(0),Claude(0),Eric(0),Justin(0),Yvonne(0), Jack(0),Dale(0),Dan(0),Herman(0), and Pat(0) are the thirteen bowlers in the random drawing for these seven spots.  
         [0082]    Dale(0),Dan(0),Eric(0),Gus(0),Jack(0), and Yvonne(0) are out of the tournament unless there is a need to have bowlers who have no remaining entries fill any future eight-bowler brackets.  
         [0083]    Herman(0),Chris(0),Claude(0),Matt(0),Pat(0),Justin(0), and Ted(0) are the seven bowlers chosen to fill this eight-bowler bracket in addition to Bob(2). Now that the bracket is full, there will be a random drawing to match up opponents and lane assignments. The following eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    Ted (0)   Herman (0)               Herman (0)       Herman (0)       Chris (0)   Bob (0)       Bob (2)           Herman (0)       Claude (0)   Claude (0)       Pat (0)       Matt (0)       Matt (0)   Matt (0)       Justin (0)                          
 
         [0084]    Herman has qualified for the Second Round. There was only one paid entry from this eight-bowler bracket that goes into the tournament prize fund because of the seven bowlers with no entries.  
         [0085]    Ted(-0),Chris(-0),Claude(-0),Pat(-0),Matt(-0), and Justin(-0) are out of the tournament unless there is a need to have bowlers, who have no remaining entries and were chosen to fill previous brackets, fill any future eight-bowler brackets.  
         [0086]    Since only one bowler (Bob (1)) has one unused entry, this will be the last eight-bowler bracket in this average division. Bowlers who have no entries will fill the other seven spots in this eight-bowler bracket. Since Dale(0), Dan(0), Eric(0), Gus(0), Jack(0), and Yvonne(0) were not chosen in the previous random drawing to fill an eight-bowler bracket from bowlers who have no remaining entries, they will get the first preference to fill this bracket. Since there were only six bowlers who have no entries and were not chosen in the previous random drawing, there is one additional spot needed to fill this bracket. A random drawing with the six bowlers who are out of entries and were chosen to fill a previous eight-bowler bracket will fill this one spot. Chris(-0),Claude(-0),Justin(-0),Matt(-0),Ted(-0), and Yvonne(-0) are in the random drawing for the one remaining spot. Claude(-0) is the bowler chosen to fill this bracket.  
         [0087]    Bob(1),Dale(0),Dan(0),Eric(0),Gus(0),Jack(0),Yvonne(0), and Claude(-0) are the eight bowlers in the last eight-bowler bracket. Now that the bracket is full, there is a random drawing in order to match up opponents and lane assignments. The following eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    Yvonne (0)   Claude (−0)               Claude (−0)       Eric (0)       Eric (0)   Eric (0)       Bob (1)           Dan (0)       Dale (0)   Dale (0)       Gus (0)       Dan (0)       Jack (0)   Dan (0)       Dan (0)                          
 
         [0088]    Dan has qualified for the Second Round. There was only one paid entry from this eight-bowler bracket that goes into the tournament prize fund because of the seven bowlers with no entries.  
         [0089]    Since there are no bowlers who have any unused entries, this average division is finished with its brackets. The proprietor owes the tournament prize fund 18 entries. ($25×18=$450) All the entries were used in the brackets. Four bowlers have qualified to bowl in the Second Round from this the 170 to 184 AVERAGE DIVISION. (Alice, Larry, Herman, and Dan)  
                                                 5. DIVISION V AVERAGES 155 to 169                NAME   ENTRIES   AVERAGES                       1. Barry   (1)   165           2. Carol   (1)   162           3. Chloe   (1)   168           4. Claire   (1)   156           5. David   (2)   168,165           6. Dusty   (1)   169           7. Edna   (1)   168           8. Ezra   (3)   169,161,160           9. Ivan   (1)   157           10. Jeanie   (1)   155           11. Karen   (1)   156           12. Max   (2)   169,169           13. Melvin   (1)   157           14. Penny   (1)   162           15. Regan   (2)   158,158           16. Robbie   (3)   166,163,162           17. Sallie   (1)   157           18. Tony   (1)   161           19. Zack   (1)   155                      
 
         [0090]    There are nineteen bowlers in this average division; therefore there will be two full eight-bowler brackets and one incomplete eight-bowler bracket with three bowlers. All of the bowlers are placed in the three eight-bowler brackets from a random drawing with the two full eight-bowler brackets bowling until a Second Round qualifier from each bracket has been accomplished. While the one incomplete eight-bowler bracket with three bowlers will wait until the other two full eight-bowler brackets are completed to fill the bracket.  
         [0091]    The first full eight-bowler bracket is Edna(1), Jeanie(1), Karen(1), Ivan(1), Melvin(1), Ezra (3), Sallie (1), and Barry(1). The second full eight-bowler bracket is Tony(1), Regan(2), Penny(1), Chloe(1), David(2), Dusty(1), Carol(1), and Zack(1). The two full eight-bowler brackets will have separate random drawings in order to match up opponents and lane assignments. The eight-bowler bracket with three bowlers will wait until both eight-bowler brackets are finished in order to fill their bracket. Max(2), Robbie(3), and Claire(1) are the three bowlers in the incomplete eight-bowler bracket.  
         [0092]    Edna(1),Jeanie(1),Karen(1),Ivan(1),Melvin(1),Ezra(3),Sallie(1),and Barry(1) are the eight bowlers in the first eight-bowler bracket. There is a random drawing in order to match up opponents and lane assignments. The following eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    Barry (1)   Barry (1)               Jeanie (1)       Barry (1)       Melvin (1)   Ezra (3)       Ezra (3)           Sallie (1)       Ivan (1)   Sallie (1)       Sallie (1)       Sallie (1)       Edna (1)   Edna (1)       Karen (1)                          
 
         [0093]    Sallie has qualified for the Second Round. Since all of the bowlers in this eight-bowler bracket had at least one unused entry, there were eight paid entries that go into the tournament prize fund.  
         [0094]    Barry(0),Jeanie(0),Melvin(0),Ivan(0),Edna(0), and Karen(0) are out of the tournament unless there is a need to have bowlers who have no remaining entries fill any future eight-bowler brackets.  
         [0095]    Tony(1), Regan(2), Penny(1), Chloe(1), David(2), Dusty(1), Carol(1), and Zack(1) are the eight bowlers in the second eight-bowler bracket. There is a random drawing in order to match up opponents and lane assignments. The following eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    Zack (1)   David (2)               David (2)       David (2)       Tony (1)   Regan (2)       Regan (2)           David (2)       Chloe (1)   Carol (1)       Carol (1)       Carol (1)       Dusty (1)   Dusty (1)       Penny (1)                          
 
         [0096]    David has qualified for the Second Round. Since all of the bowlers in this eight-bowler bracket had at least one unused entry, there were eight paid entries that go into the tournament prize fund.  
         [0097]    Zack(0),Tony(0), Chloe(0), Carol(0), Dusty(0), and Penny(0) will join Barry(0),Jeanie(0),Melvin(0),Ivan(0),Edna(0), and Karen(0) as bowlers who are out of the tournament unless there is a need to have bowlers who have no remaining entries fill any future eight-bowler brackets.  
         [0098]    Ezra(2) and Regan(1) have unused entries. They will be joined with Robbie(3),Max(2), and Claire (1) in an eight-bowler bracket thus causing a need for three spots to fill this bracket. These three spots will come from the bowlers who used their only entry in the previous brackets. Barry(0), Jeanie(0), Melvin(0), Ivan(0), Edna(0),Karen(0),Zack(0),Tony(0), Chloe(0),Carol(0),Dusty(0), and Penny(0) will be placed in a random drawing to choose three bowlers to fill this bracket.  
         [0099]    Ivan(0),Zack(0), and Penny(0) are chosen in the random drawing thus joining Robbie(3),Max(2),Claire(1),Ezra(2), and Regan(1) in this eight-bowler bracket. There is a random drawing in order to match up opponents and lane assignments. The following eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    Regan (1)   Ivan (0)               Ivan (0)       Ivan (0)       Penny (0)   Zack (0)       Zack (0)           Max (2)       Claire (1)   Claire (1)       Ezra (2)       Max (2)       Max (2)   Max (2)       Robbie (3)                          
 
         [0100]    Max has qualified for the Second Round. There were only five paid entries from this eight-bowler bracket that goes into the tournament prize fund because of the three bowlers with no entries.  
         [0101]    Regan(0) and Claire(0) will join Barry(0), Jeanie(0), Melvin(0), Edna(0), Karen(0), Tony(0), Chloe(0), Carol(0), and Dusty(0) as bowlers who are out of the tournament unless there is a need to have bowlers who have no remaining entries fill any future eight-bowler brackets.  
         [0102]    Ivan(-0), Zack(-0), and Penny (-0) must wait until all of the bowlers who have no remaining entries and were not chosen to fill any of the previous brackets are used to fill any future eight-bowler brackets.  
         [0103]    Robbie(2) and Ezra(1) still have unused entries therefore at least one more eight-bowler bracket is needed. Six bowlers who have no remaining entries and were not chosen to fill any of the previous brackets will fill this bracket. Since there are eleven bowlers who have no remaining entries and were not chosen to fill any of the previous brackets, then the six available spots will come from these eleven bowlers in a random drawing. (Barry(0),Jeanie(0),Melvin(0), Edna(0), Karen(0),Tony(0),Chloe(0),Carol(0), Dusty(0),Regan(0), and Claire(0))  
         [0104]    Chloe(0),Edna(0),Dusty(0),Carol(0),Regan(0), and Jeanie(0) are chosen from the random drawing to fill this bracket.  
         [0105]    Robbie(2),Ezra(1),Chloe(0),Edna(0),Dusty(0),Carol(0),Regan(0), and Jeanie(0), are in a random drawing in order to match up opponents and lane assignments in the next eight-bowler bracket. The following eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    Ezra (1)   Ezra (1)               Carol (0)       Ezra (1)       Robbie (2)   Robbie (2)       Chloe (0)           Ezra (1)       Edna (0)   Regan (0)       Regan (0)       Regan (0)       Jeanie (0)   Dusty (9)       Dusty (0)                          
 
         [0106]    Ezra has qualified for the Second Round. There were only two paid entries from this eight-bowler bracket that goes into the tournament prize fund because of the six bowlers with no entries.  
         [0107]    Carol(-0),Chloe(-0),Edna(-0),Regan(-0),Jeanie(-0), and Dusty(-0) will join Ivan(-0),Zack(-0), and Penny(-0) as bowlers who must wait until all of the bowlers who have no remaining entries and were not chosen to fill any of the previous brackets are used to fill any future eight-bowler brackets.  
         [0108]    Since only one bowler (Robbie(1)) has one unused entry, this will be the last eight-bowler bracket in this average division. Bowlers who have no remaining entries will fill the other seven spots in this eight-bowler bracket. The five bowlers who have no remaining entries and were not chosen to fill any of the previous brackets will have preference to fill this bracket over the nine bowlers who have no remaining entries and were chosen to fill any of the previous brackets. The five bowlers with preference are Barry(0),Melvin(0),Karen(0),Tony(0), and Claire(0). There are now six bowlers in this eight-bowler bracket so two more bowlers are needed to fill this bracket. The two bowlers who will fill this bracket will come out of the random drawing from the nine bowlers who have no remaining entries and were chosen to fill any of the previous brackets. Ivan(-0), Penny(-0), Zack(-0), Carol(-0), Chloe(-0), Edna(-0), Regan(-0), Jeanie(-0), and Dusty(-0) are the nine bowlers in the random drawing.  
         [0109]    Dusty(-0) and Jeanie(-0) are the two bowlers chosen from the random drawing to fill this bracket.  
         [0110]    Robbie(1),Barry(0),Melvin(0),Karen(0),Tony(0),Claire(0), Dusty(-0), and Jeanie(-0) are the eight bowlers in the last eight-bowler bracket. Now that the bracket is full, there is a random drawing in order to match up opponents and lane assignments. The following eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    Dusty (−0)   Dusty (−0)               Melvin (0)       Karen (0)       Claire (0)   Karen (0)       Karen 0           Barry (0)       Barry (0)   Barry (0)       Robbie (1)       Barry (0)       Jeanie (−0)   Jeanie (−0)       Tony (0)                          
 
         [0111]    Barry has qualified for the Second Round. There was only one paid entry from this eight-bowler bracket that goes into the tournament prize fund because of the seven bowlers with no entries.  
         [0112]    Since there are no bowlers who have any unused entries, this average division is finished with its brackets. The proprietor owes the tournament prize fund 24 entries. ($25×24=$600) Two entries were not used in the brackets. (David and Max had one each.) The proprietor gets to use the money from these entries to offset any expenses incurred while running the tournament. Five bowlers have qualified to bowl in the Second Round from this the 155 to 169 AVERAGE DIVISION. (Sallie, David, Max, Ezra, and Barry)  
                                                 6. DIVISION VI AVERAGES 140 to 154                NAME   ENTRIES   AVERAGES                       1. Adam   (2)   143,143           2. Amos   (1)   145           3. Barney   (1)   142           4. Beau   (2)   154,151           5. Billy   (1)   148           6. Daphne   (1)   143           7. Dawayn   (1)   143           8. Dawn   (2)   147,137           9. Dick   (2)   154,153           10. Earl   (1)   154           11. Ernest   (1)   149           12. Gene   (2)   153,149           13. Heidi   (1)   147           14. Jane   (1)   141           15. Karmylle   (1)   142           16. Lucy   (2)   153,151           17. Margot   (1)   150           18. Mary   (2)   141,138           19. Molly   (1)   143           20. Roy   (1)   154           21. Suzie   (1)   145           22. Virgil   (1)   153           23. Walt   (2)   146,143           24. Wendy   (1)   140           25. Zelda   (1)   141                      
 
         [0113]    Since there are twenty-five bowlers, there will be three full eight-bowler brackets and one eight-bowler bracket with one bowler. All of the bowlers are placed into a random drawing in order to separate the bowlers into the four eight-bowler brackets. The three full eight-bowler brackets will compete until a Second Round qualifier has been accomplished. While the eight-bowler bracket with one bowler will wait to compete after all three of the other eight-bowler brackets are completed in order to fill the other seven spots in the bracket.  
         [0114]    The first full eight-bowler bracket is Earl(1), Zelda(1), Lucy(2), Earnest(1), Dawayn(1), Beau(2), Roy(1), and Adam(2). The second full eight-bowler bracket is Karmylle(1), Jane(1), Walt(2), Wendy(1), Mary(2), Suzie(1), Virgil(1), and Molly(1). The third-full eight-bowler bracket is Amos(1), Heidi(1), Gene(2), Margot(1), Dawn(2), Billy(1), Barney(1), and Dick(2). Each of these eight-bowler brackets will have separate random drawings in order to match up opponents and lane assignments.  
         [0115]    The eight-bowler bracket with just one bowler Daphne(1) will wait until the three full brackets are finished to completely fill this bracket.  
         [0116]    Earl(1),Zelda(1), Lucy(2), Earnest(1), Dawayn(1), Beau(2), Roy(1), and Adam(2) are the eight bowlers in the first full eight-bowler bracket. There is a random drawing in order to match up opponents and lane assignments. The following eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    Zelda (1)   Zelda (1)               Beau (2)       Earnest (1)       Lucy (2)   Earnest (1)       Earnest (1)           Roy (1)       Earl (1)   Earl (1)       Adam (2)       Roy (1)       Dawayn (1)   Roy (1)       Roy (1)                          
 
         [0117]    Roy has qualified for the Second Round. Since all of the bowlers in this eight-bowler bracket had at least one unused entry, there were eight paid entries that go into the tournament prize fund.  
         [0118]    Zelda(0),Earnest(0),Earl (0), and Dawayn(0) are out of the tournament unless there is a need to have bowlers who have no remaining entries fill any future eight-bowler brackets.  
         [0119]    Beau(1), Lucy(1), and Adam(1) have one remaining entry.  
         [0120]    Karmylle(1),Jane(1),Walt(2),Wendy(1),Mary(2), Suzie(1),Virgil(1), and Molly(1) are the eight bowlers in the second full eight-bowler bracket. There is a random drawing in order to match up opponents and lane assignments. The following eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    Suzie (1)   Mary (2)               Mary (2)       Virgil (1)       Virgil (1)   Virgil (1)       Wendy (1)           Virgil (1)       Karmylle (1)   Karmylle (1)       Walt (2)       Jane (1)       Jane (1)   Jane (1)       Molly (1)                          
 
         [0121]    Virgil has qualified for the Second Round. Since all of bowlers in this eight-bowler bracket had at least one unused entry, there were eight paid entries that go into the tournament prize fund.  
         [0122]    Suzie(0),Wendy(0),Karmylle(0),Jane(0), and Molly(0) will join Zelda(0),Earnest(0),Earl(0), and Dawayn(0) as bowlers who are out of the tournament unless there is a need to have bowlers who have no remaining entries fill any future eight-bowler brackets.  
         [0123]    Mary(1) and Walt(1) will join Beau(1), Lucy(1), and Adam(1) as bowlers who have one remaining entry.  
         [0124]    Amos(1),Heidi(1),Gene(2),Margot(1),Dawn(2),Billy(1),Barney(1), and Dick(2) are the eight bowlers in the third full eight-bowler bracket. There is a random drawing in order to match up opponents and lane assignments. The following eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    Dawn (2)   Margot (1)               Margot (1)       Dick (2)       Dick (2)   Dick (2)       Gene (2)           Dick (2)       Amos (1)   Barney (1)       Barney (1)       Heidi (1)       Heidi (1)   Heidi (1)       Billy (1)                          
 
         [0125]    Dick has qualified for the Second Round. Since all of the bowlers in this eight-bowler bracket had at least one unused entry, there were eight paid entries that go into the tournament prize fund.  
         [0126]    Margot(0),Amos(0),Barney(0),Heidi(0), and Billy(0) will join Zelda(0), Earnest(0), Earl(0), Dawayn(0), Suzie(0),Wendy(0), Karmylle(0), Jane(0), and Molly(0) as bowlers who are out of the tournament unless there is a need to have bowlers who have no remaining entries fill any future eight-bowler brackets.  
         [0127]    Dawn(1) and Gene(1) will join Beau(1), Lucy(1), Adam(1), Mary(1), and Walt(1) as bowlers who have one remaining entry from the previous brackets. Since there are exactly seven bowlers available, they will join Daphne(1) in the last eight-bowler bracket in this average division. There is a random drawing in order to match up opponents and lane assignments. The following eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    Walt (1)   Daphne (1)               Daphne (1)       Daphne (1)       Adam (1)   Beau (1)       Beau (1)           Gene (1)       Mary (1)   Mary (1)       Lucy (1)       Gene (1)       Gene (1)   Gene (1)       Dawn (1)                          
 
         [0128]    Gene has qualified for the Second Round. Since all of the bowlers in this eight-bowler bracket had at least one unused entry, there were eight paid entries that go into the tournament prize fund.  
         [0129]    Since there are no bowlers who have any unused entries, this average division is finished with its brackets. The proprietor owes the tournament prize fund 32 entries. ($25×32=$800) One entry was not used in the brackets. (Dick had one.) The proprietor gets to use the money from this entry to offset any expenses incurred while running the tournament. Four bowlers have qualified to bowl in the Second Round from this the 140 to 154 AVERAGE DIVISION. (Roy, Virgil, Dick, and Gene)  
                                                 7. DIVISION VII AVERAGES 125 to 139                NAME   ENTRIES   AVERAGES                       1. Amie   (1)   129           2. Amon   (1)   136           3. Anita   (1)   126           4. Ann   (1)   129           5. Brent   (1)   133           6. Claudia   (1)   131           7. Clyde   (1)   137           8. Colin   (1)   139           9. Gary   (1)   131           10. Gloria   (1)   127           11. Greg   (1)   139           12. Henry   (1)   137           13. Hugh   (1)   131           14. Janet   (1)   128           15. Janice   (1)   129           16. Jay   (1)   138           17. Jill   (1)   135           18. Jon   (1)   132           19. Joy   (1)   139           20. Joyce   (1)   129           21. Karl   (1)   135           22. Neal   (1)   126           23. Ned   (1)   132           24. Pam   (1)   131           25. Peggy   (1)   129           26. Phoebe   (1)   126           27. Polly   (1)   134           28. Rachel   (1)   137           29. Ray   (1)   138           30. Sandy   (1)   134           31. Tammy   (1)   131                      
 
         [0130]    Since there are thirty-one bowlers in this average division, there will be three full eight-bowler brackets and one eight-bowler bracket with seven bowlers. All of the bowlers are placed in a random drawing with the three full eight-bowler brackets bowling until a Second Round qualifier has been accomplished. While the one eight-bowler bracket with seven bowlers will wait to bowl until all three of the full eight bowler brackets are completed.  
         [0131]    The first full eight-bowler bracket is Joyce(1), Claudia(1), Janet(1), Hugh(1), Joy(1), Polly(1), Neal(1), and Henry(1). The second full eight-bowler bracket is Anita(1),Sandy(1),Rachel(1),Greg(1),Pam(1),Jay(1),Gloria(1), and Tammy(1). The third eight-bowler bracket is Brent(1), Karl(1), Jon(1), Amie(1), Ned(1), Ray(1), Phoebe(1), and Clyde(1). Each of these three full eight-bowler brackets will have separate random drawings in order to match up opponents and lane assignments.  
         [0132]    The incomplete eight-bowler bracket with these seven bowlers Gary(1),Ann(1),Jill(1),Peggy(1),Colin(1),Janice(1), and Amon(1) will wait until the three full brackets are finished in order to completely fill this incomplete eight-bowler bracket.  
         [0133]    Joyce(1),Claudia(1),Janet(1),Hugh(1),Joy(1),Polly(1),Neal(1), and Henry(1) are the eight bowlers in the first full eight-bowler bracket. There is a random drawing in order to match up opponents and lane assignments. The following eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    Neal (1)   Neal (1)               Joy (1)       Neal (1)       Janet (1)   Janet (1)       Claudia (1)           Hugh (1)       Polly (1)   Joyce (1)       Joyce (1)       Hugh (1)       Hugh (1)   Hugh (1)       Henry (1)                          
 
         [0134]    Hugh has qualified for the Second Round. Since all of the bowlers in this eight-bowler bracket had at least one unused entry, there were eight paid entries that go into the tournament prize fund.  
         [0135]    Neal(0),Joy(0),Janet(0),Claudia(0),Polly(0),Joyce(0), and Henry(0) are out of the tournament unless there is a need to have bowlers who have no remaining entries fill any future eight-bowler brackets.  
         [0136]    Anita(1), Sandy(1), Rachel(1), Greg(1), Pam(1), Jay(1), Gloria(1), and Tammy(1).are the eight bowlers in the second full eight-bowler bracket. There is a random drawing in order to match up opponents and lane assignments. The following eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    Greg (1)   Greg (1)               Tammy (1)       Rachel (1)       Rachel (1)   Rachel (1)       Sandy (1)           Jay (1)       Pam (1)   Jay (1)       Jay (1)       Jay (1)       Gloria (1)   Gloria (1)       Anita (1)                          
 
         [0137]    Jay has qualified for the Second Round. Since all of the bowlers in this eight-bowler bracket had at least one unused entry, there were eight paid entries that go into the tournament prize fund.  
         [0138]    Greg(0),Tammy(0),Rachel(0),Sandy(0),Pam(0),Gloria(0), and Anita(0) will join Neal(0),Joy(0),Janet(0),Claudia(0),Polly(0),Joyce(0), and Henry(0) as bowlers who are out of the tournament unless there is a need to have bowlers who have no remaining entries fill any future eight-bowler brackets.  
         [0139]    Brent(1),Karl (1),Jon(1),Amie(1),Ned(1),Ray(1),Phoebe(1), and Clyde(1) are the eight bowlers in the third full eight-bowler bracket. There is a random drawing in order to match up opponents and lane assignments. The following eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    Ray (1)   Brent (1)               Brent (1)       Karl (1)       Karl (1)   Karl (1)       Clyde (1)           Phoebe (1)       Ned (1)   Jon (1)       Jon (1)       Phoebe (1)       Phoebe (1)   Phoebe (1)       Amie (1)                          
 
         [0140]    Phoebe has qualified for the Second Round. Since all of the bowlers in this eight-bowler bracket had at least one unused entry, there were eight paid entries that go into the tournament prize fund.  
         [0141]    Ray(0),Brent(0),Kari(0),Clyde(0),Ned(0),Jon(0), and Amie(0) will join Greg(0),Tammy(0), Rachel(0), Sandy(0), Pam(0), Gloria(0),Anita(0), Neal(0), Joy(0),Janet(0),Claudia(0),Polly(0),Joyce(0), and Henry(0) as bowlers who are out of the tournament unless there is a need to have bowlers who have no remaining entries fill any future eight-bowler brackets.  
         [0142]    Since the fourth eight-bowler bracket has seven bowlers it needs just one bowler to be full. None of the twenty-one bowlers in the three previous eight-bowler brackets who did not qualify for the Second Round have any remaining unused entries. These twenty-one bowlers will be in a random drawing to select the one bowler to fill this eight-bowler bracket. Ray(0), Brent(0), Karl(0), Clyde(0), Ned(0),Jon(0),Amie(0), Greg(0), Tammy(0), Rachel(0), Sandy(0), Pam(0), Gloria(0),Anita(0), Neal(0), Joy(0), Janet(0),Claudia(0),Polly(0),Joyce(0), and Henry(0) are the bowlers in the random drawing.  
         [0143]    Sandy(0) is the bowler selected from the random drawing to fill the last eight-bowler bracket.  
         [0144]    Gary(1),Ann(1),Jill(1),Peggy(1),Colin(1),Janice(1),Amon(1), and Sandy(0) are the eight bowlers in the last eight-bowler bracket. There is a random drawing in order to match up opponents and lane assignments. The following eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    Suzie (1)   Mary (2)               Peggy (1)   Peggy (1)               Jill (1)       Ann (1)       Ann (1)   Ann (1)       Janice (1)           Ann (1)       Gary (1)   Sandy (0)       Sandy (0)       Colin (1)       Amon (1)   Colin (1)       Colin (1)                          
 
         [0145]    Ann has qualified for the Second Round. There were only seven paid entries from this eight-bowler bracket that goes into the tournament prize fund because of one bowler with no entries.  
         [0146]    Since there are no bowlers who have any unused entries, this average division is finished with its brackets. The proprietor owes the tournament prize fund 31 entries. ($25×31=$775) All of the entries were used in the brackets. Four bowlers have qualified to bowl in the Second Round from this the 125 to 139 AVERAGE DIVISION. (Hugh, Jay, Phoebe, and Ann)  
                                                 8. DIVISION VIII 124 or LESS                NAME   ENTRIES   AVERAGES                       1. Alan   (1)   119           2. Alvin   (1)   121           3. Brett   (1)   108           4. Felix   (1)   120           5. Flora   (1)   117           6. Fred   (1)   111           7. Ida   (1)   123           8. Iris   (1)   108           9. Joan   (1)   101           10. Julie   (1)   114           11. Lance   (1)   118           12. Michelle   (1)   112           13. Oscar   (1)   124           14. Rex   (1)   117           15. Rita   (1)   99           16. Ron   (1)   111           17. Scott   (1)   121           18. Sharon   (1)   119           19. Tess   (1)   123           20. Tim   (1)   114           21. Wes   (1)   124           22. Will   (1)   121           23. Wilma   (1)   117           24. Zoe   (1)   109                      
 
         [0147]    Since there are twenty-four bowlers with one entry each, there will be exactly three eight-bowler brackets. There will be a random drawing with the twenty-four bowlers in order to separate them into the three eight-bowler brackets. The first eight-bowler bracket is Felix(1), Ron(1), Tim(1), Michelle(1), Oscar(1), Julie(1), Lance(1), and Rita(1). The second eight-bowler bracket is Rex(1), Alvin(1), Ida(1), Flora(1), Wilma(1), Zoe(1), Wes(1), and Will(1). The third eight-bowler bracket is Fred(1), Alan(1), Sharon(1), Scott(1), Tess(1), Joan(1), Brett(1), and Iris(1).  
         [0148]    Felix(1),Ron(1),Tim(1),Michelle(1),Oscar(1),Julie(1),Lance(1), and Rita(1) are the eight bowlers in this eight-bowler bracket. There is a random drawing in order to match up opponents and lane assignments. The following eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    Felix (1)   Felix (1)               Oscar (1)       Felix (1)       Ron (1)   Ron (1)       Rita (1)           Felix (1)       Tim (1)   Tim (1)       Julie (1)       Tim (1)       Michelle (1)   Michelle (1)       Lance (1)                          
 
         [0149]    Felix has qualified for the Second Round. Since all of the bowlers in this eight-bowler bracket had at least one unused entry, there were eight paid entries that go into the tournament prize fund.  
         [0150]    Oscar(0),Ron(0),Rita(0),Tim(0),Julie(0),Michelle(0), and Lance(0) are out of the tournament unless there is a need to have bowlers who have no remaining entries fill any future eight-bowler brackets.  
         [0151]    Rex(1),Alvin(1),Ida(1),Flora(1),Wilma(1),Zoe(1),Wes(1), and Will(1) are the eight bowlers in the second eight-bowler bracket. There is a random drawing in order to match up opponents and lane assignments. The following eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    Flora (1)   Flora (1)               Will (1)       Flora (1)       Wilma (1)   Wilma (1)       Ida (1)           Zoe (1)       Wes (1)   Wes (1)       Alvin (1)       Zoe (1)       Zoe (1)   Zoe (1)       Rex (1)                          
 
         [0152]    Zoe has qualified for the Second Round. Since all of the bowlers in this eight-bowler bracket had at least one unused entry, there were eight paid entries that go into the tournament prize fund.  
         [0153]    Flora(0),Will(0),Wilma(0),Ida(0),Wes(0),Alvin(0), and Rex(0) will join Oscar(0),Ron(0),Rita(0),Tim(0),Julie(0),Michelle(0), and Lance as bowlers who are out of the tournament unless there is a need to have bowlers who have no remaining entries fill any future eight-bowler brackets.  
         [0154]    Fred(1),Alan(1),Sharon(1),Scott(1),Tess(1),Joan(1),Brett(1), and Iris(1) are the eight bowlers in the third eight-bowler bracket. There is a random drawing in order to match up opponents and lane assignments. The following eight-bowler bracket was the result of the random drawing.  
                                                                         1 st  Game Winner   2 nd  Game Winner   3 rd  Game Winner                                    Sharon (1)   Alan (1)               Alan (1)       Fred (1)       Brett (1)   Fred (1)       Fred (1)           Fred (1)       Iris (1)   Tess (1)       Tess (1)       Tess (1)       Joan (1)   Joan (1)       Scott (1)                          
 
         [0155]    Fred has qualified for the Second Round. Since all of the bowlers in this eight-bowler bracket had at least one unused entry, there were eight paid entries that go into the tournament prize fund.  
         [0156]    Sharon(0),Alan(0),Brett(0),Iris(0),Tess(0),Joan(0), and Scott(0) will join Oscar(0),Ron(0),Rita(0),Tim(0),Julia(0),Michelle(0),Lance(0),Flora(0), Will(0),Wilma(0),Ida(0),Wes(0),Alvin(0), and Rex(0) as bowlers who are out of the tournament unless there is a need to have bowlers who have no remaining entries fill any future eight-bowler brackets.  
         [0157]    Since there are no bowlers who have any unused entries, this average division is finished with the brackets. The proprietor owes the tournament prize fund 24 entries. ($25×24=$600) All of the entries were used in the brackets. Three bowlers have qualified to bowl in the second round from this the 124 or Less AVERAGE DIVISION. (Felix, Zoe, and Fred)  
         [0158]    In the previous example there are three bowlers who have qualified to bowl in the Second Round from the 124 or Less AVERAGE DIVISION. Felix, Zoe, and Fred are joined with seventy-seven bowlers who have qualified from other Bowling Centers to bowl in this Second Round location. Since the total number of bowlers bowling in this Second Round location is more than 64 but less than 128, the tournament director will use 64 as the base number in order to find out how many bowlers will receive a bye in the first game of the Second Round.  
         [0159]    Since there are 80 bowlers, the tournament director will subtract 64 from 80 to get 16. (80−64=16) Now they will subtract 16 from 64 to get 48, the number of bowlers receiving a bye in the first game of match play in the Second Round. (64−16=48) Forty-eight bowlers will receive a bye in the first game of match play in this Second Round. The first game of match play in the Second Round will have 32 bowlers (80−48=32) competing against each other.  
         [0160]    These 80 bowlers will have a random drawing in order to separate the bowlers who receive a bye from the bowlers who will compete in the first game of the Second Round. Felix, Zoe, Fred, Albert, Arlene, Arnold, Arthur, Betty, Bonnie, Boris, Brenda, Brian, Bruce, Bruno, Carrie, Conrad, Craig, Daisy, Debbie, Dennis, Denise, Diane, Dinah, Dwight, Edgar, Edith, Eileen, Ellis, Ethan, Ethel, Evan, Floyd, Frank, Gerald, Gladys, Goldie, Greta, Harry, Hazel, Hope, Hugo, Irene, Irma, Jared, Jesse, Joe, June, Keith, Kevin, Kitty, Laura, Leah, Lewis, Lilly, Linda, Mabel, Maria, Martha, Martin, Marvin, Maude, Merlin, Mimi, Nancy, Naomi, Nina, Noah, Norma, Olga, Orson, Peter, Roger, Russ, Ruth, Sarah, Stan, Stella, Susan, Sybil, and Trudy are the bowlers in the random drawing.  
         [0161]    Felix, Fred, Arnold, Carrie, Debbie, Dennis, Edith, Ellis, Ethan, Ethel, Evan, Floyd, Gerald, Goldie, Hugo, Irma, June, Laura, Lilly, Linda, Mabel, Marvin, Maude, Mimi, Nancy, Naomi, Norma, Roger, Russ, Ruth, Sarah, and Sybil are the 32 bowlers competing in the first game of the Second Round.  
         [0162]    Zoe, Albert, Arlene, Arthur, Betty, Bonnie, Boris, Brenda, Brian, Bruce, Bruno, Conrad, Craig, Daisy, Denise, Diane, Dinah, Dwight, Edgar, Eileen, Frank, Gladys, Greta, Harry, Hazel, Hope, Irene, Jared, Jesse, Joe, Keith, Kevin, Kitty, Leah, Lewis, Maria, Martha, Martin, Merlin, Nina, Noah, Olga, Orson, Peter, Stan, Stella, Susan, and Trudy are the 48 bowlers receiving a first game bye.  
         [0163]    The 32 bowlers competing in the first game will have a random drawing in order to match up opponents and lane assignments. The following was the result of the random drawing.  
                                                       1. Roger       3. Linda       5. Felix               Roger       Linda       Hugo       2. Ellis       4. Dennis       6. Hugo       7. Debbie       9. Maude       11. Fred           Debbie       Goldie       Naomi       8. Irma       10. Goldie       12. Naomi       13. Nancy       15. Ethel       17. Carrie           Nancy       Russ       Carrie       14. Edith       16. Russ       18. Norma       19. Mabel       21. Floyd       23. Ethan           Mimi       Floyd       Arnold       20. Mimi       22. Marvin       24. Arnold       25. Lilly       27. Sarah       29. Sybil           Lilly       Sarah       Sybil       26. Ruth       28. Gerald       30. Evan       31. Laura           June       32. June                  
 
         [0164]    Dennis, Edith, Ellis, Ethan, Ethel, Evan, Felix, Fred, Gerald, Irma, Laura, Mabel, Marvin, Maude, Norma, and Ruth are out of the tournament.  
         [0165]    Arnold, Carrie, Debbie, Floyd, Goldie, Hugo, June, Lilly, Linda,-Mimi, Nancy, Naomi, Roger, Russ, Sarah, and Sybil will join the 48 bowlers who received first game byes in the second game of match play. These 64 bowlers will have a random drawing in order to match up opponents and lane assignments. The following was the result of the random drawing.  
                                                       1.Greta       3. Jesse       5. Stan               Maria       Carrie       Stan       2. Maria       4. Carrie       6. Keith       7. Joe       9. Sybil       11. Craig           Lewis       Dinah       Craig       8. Lewis       10. Dinah       12. Russ       13. Hope       15. Sarah       17. Dwight           Kevin       Harry       Dwight       14. Kevin       16. Harry       18. Goldie       19. Diane       21. Linda       23. Orson           Diane       Martha       Martin       20. Brenda       22. Martha       24. Martin       25. Boris       27. Eileen       29. Gladys           Bruno       Irene       Gladys       26. Bruno       28. Irene       30. Daisy       31. Floyd       33. Merlin       35. Betty           Floyd       Merlin       Roger       32. Zoe       34. Debbie       36. Roger       37. Jared       39. Hazel       41. Hugo           Jared       Hazel       Arlene       38. Arthur       40. Stella       42. Arlene       43. Lilly       45. Noah       47. Olga           Lilly       Noah       Olga       44. Trudy       46. Albert       48. Frank       49. Arnold       51. Edgar       53. Nina           Bonnie       Susan       Nina       50. Bonnie       52. Susan       54. Mimi       55. Nancy       57. Conrad       59. June           Nancy       Denise       June       56. Kitty       58. Denise       60. Naomi       61. Peter       63. Brian           Bruce       Leah       62. Bruce       64. Leah                  
 
         [0166]    Albert, Arnold, Arthur, Betty, Boris, Brenda, Brian, Conrad, Daisy, Debbie, Edgar, Eileen, Frank, Goldie, Greta, Hope, Hugo, Jesse, Joe, Keith, Kitty, Linda, Mimi, Naomi, Orson, Peter, Russ, Sarah, Stella, Sybil, Trudy, and Zoe are out of the tournament.  
         [0167]    Arlene, Bonnie, Bruce, Bruno, Carrie, Craig, Denise, Diane, Dinah, Dwight, Floyd, Gladys, Harry, Hazel, Irene, Jared, June, Kevin, Leah, Lewis, Lilly, Maria, Martha, Martin, Merlin, Nancy, Nina, Noah, Olga, Roger, Stan, and Susan are the 32 bowlers competing in the third game. They will have a random drawing in order to match up opponents and lane assignments. The following was the result of the random drawing.  
                                                       1. Merlin       3. Roger       5. Stan               Merlin       Roger       Nancy       2. Olga       4. Martha       6. Nancy       7. Lewis       9. Carrie       11. Hazel           Lewis       Diane       June       8. Bonnie       10. Diane       12. June       13. Noah       15. Nina       17. Bruno           Noah       Nina       Leah       14. Kevin       16. Floyd       18. Leah       19. Irene       21. Harry       23. Dinah           Irene       Denise       Bruce       20. Gladys       22. Denise       24. Bruce       25. Lilly       27. Dwight       29. Susan           Lilly       Maria       Jared       26. Craig       28. Maria       30. Jared       31. Arlene           Martin       32. Martin                  
 
         [0168]    Arlene, Bonnie, Bruno, Carrie, Craig, Dinah, Dwight, Floyd, Gladys, Harry, Hazel, Kevin, Martha, Olga, Stan, and Susan are out of the tournament.  
         [0169]    Bruce, Denise, Diane, Irene, Jared, June, Leah, Lewis, Lilly, Maria, Martin, Merlin, Nancy, Nina, Noah, and Roger are the 16 bowlers competing in the fourth game. They will have a random drawing in order to match up opponents and lane assignments. The following was the result of the random drawing.  
                                                       1. Leah       3. Bruce       5. Jared               Irene       Diane       Nancy       2. Irene       4. Diane       6. Nancy       7. Roger       9. Noah       11. Maria           June       Noah       Maria       8. June       10. Lilly       12. Lewis       13. Merlin       15. Nina           Merlin       Martin       14. Denise       16. Martin                  
 
         [0170]    Bruce, Denise, Jared, Leah, Lewis, Lilly, Nina, and Roger are out of the tournament.  
         [0171]    Diane, Irene, June, Maria, Martin, Merlin, Nancy, and Noah are the 8 bowlers competing in the fifth game. They will have a random drawing in order to match up opponents and lane assignments. The following was the result of the random drawing.  
                                                       1. Diane       3. June       5. Martin               Nancy       Maria       Noah       2. Nancy       4. Maria       6. Noah       7. Merlin           Irene       8. Irene                  
 
         [0172]    Diane, June, Martin, and Merlin are out of the tournament.  
         [0173]    Irene, Maria, Nancy, and Noah are the 4 bowlers competing in the sixth game. They will have a random drawing in order to match up opponents and lane assignments. The following was the result of the random. drawing.  
                                                               1. Irene       3. Maria                   Nancy       Noah           2. Nancy       4. Noah                      
 
         [0174]    Irene and Maria are out of the tournament.  
         [0175]    Nancy and Noah are the final two bowlers competing in the Second Round. They will have a random drawing for lane assignments. The following was the result of the random drawing.  
                                                       1. Noah                   Nancy           2. Nancy                      
 
         [0176]    Noah lost the final game. Since Nancy won the final game of the Second Round, she will receive an all expense paid trip to compete in the CHAMPIONSHIP ROUND. Nancy will compete against 511 bowlers who won their Second Round Regional in the 124 or Less AVERAGE DIVISION.  
         [0177]    This bowling tournament method is an attempt to help the bowling industry and league bowlers who have been loyal participants of the sport. The bowling industry has lost over 5 million league bowlers in the last 15 years while it has maintained its participation from the 50 million non-league bowlers over the same period of time. The bowling industry needs to have a national tournament for all league bowlers who compete on a weekly basis. This tournament will give all league bowlers a chance to compete against other league bowlers of equal ability. The bowling lane proprietor should benefit from this tournament because current league bowlers will be encouraged to bowl in additional leagues so that they would get additional entries in the First Round of this tournament. Non-league bowlers will want to join a league so that they can have a chance to win money from one of the many large prize fund purses. Future tournaments can have more than one tournament per year with the additional tournaments changing the formats like having men competing against only men and women competing against only women, and/or changing pin difference in the average divisions, and/or changing the bracket sizes.  
         [0178]    Some activities and/or sports such as golf can use this tournament process.