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winning system using Number groups?

Topic closed. 11 replies. Last post 2 months ago by Sunglasses.

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napi
New Caledonia
Member #61373
May 20, 2008
36 Posts
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Posted: October 6, 2016, 9:10 pm - IP Logged

Hi

I'm experimenting with lotto systems that use "groups" to wheel numbers with a good amount of success, but I would like to diversify a bit more, & am happy to share my findings with others.

Does anyone know where you can get lotto wheels for "group" systems online from?

 I am looking for systems in particular for pick 6  that have 6 or more groups, with 2 to 3 numbers in each group, & if you have one number in each group it's guaranteed 4 numbers or more will appear on one line. e.g. if you have  6 groups, with each group containing 2 to 3 numbers & if you have one winning number in each group, then it's guaranteed you will have at least one line containing at least 4 numbers etc.

Many thanks for your anticipated help, I really appreciate it.Smile

    Avatar
    South Carolina
    United States
    Member #18322
    July 9, 2005
    1704 Posts
    Offline
    Posted: October 6, 2016, 11:36 pm - IP Logged

    Hi

    I'm experimenting with lotto systems that use "groups" to wheel numbers with a good amount of success, but I would like to diversify a bit more, & am happy to share my findings with others.

    Does anyone know where you can get lotto wheels for "group" systems online from?

     I am looking for systems in particular for pick 6  that have 6 or more groups, with 2 to 3 numbers in each group, & if you have one number in each group it's guaranteed 4 numbers or more will appear on one line. e.g. if you have  6 groups, with each group containing 2 to 3 numbers & if you have one winning number in each group, then it's guaranteed you will have at least one line containing at least 4 numbers etc.

    Many thanks for your anticipated help, I really appreciate it.Smile

    Steve Player Pick 6 Wheels.

      Sunglasses's avatar - nicebear
      Zaperlopopotam
      Belgium
      Member #173932
      March 26, 2016
      952 Posts
      Offline
      Posted: October 7, 2016, 5:12 am - IP Logged

      That is filtering. Filtering has no limits, wheels have limits in dimensions.

      If you use a wheel, you use a filtered set as model. So it is filtering as the model comes out worthless with more conditions requested.

        Sunglasses's avatar - nicebear
        Zaperlopopotam
        Belgium
        Member #173932
        March 26, 2016
        952 Posts
        Offline
        Posted: October 7, 2016, 5:18 am - IP Logged

        1 to 10, filtered with multiple conditions.

        filter:
        1-2-3-4-6-9
        1-2-3-4-7-8
        1-2-3-4-7-10
        1-2-3-4-8-9
        ...
        1-2-4-5-6-9
        1-2-4-5-7-8
        1-3-4-5-6-8
        2-3-4-5-6-7

        .
          RJOh's avatar - chipmunk
          mid-Ohio
          United States
          Member #9
          March 24, 2001
          19825 Posts
          Offline
          Posted: October 7, 2016, 1:43 pm - IP Logged

          You can use CoverMaster to make your own wheels with guarantees for any size group you want.

          Check the website Lotto-Logic for more information.

           * you don't need to buy more tickets, just buy a winning ticket * 
             
                       Evil Looking       

            Avatar
            napi
            New Caledonia
            Member #61373
            May 20, 2008
            36 Posts
            Offline
            Posted: October 7, 2016, 3:48 pm - IP Logged

            Hi RJOH

            Many thanks for that. I appreciate your help. Big Smile

              BobP's avatar - bobp avatar.png
              Dump Water Florida
              United States
              Member #380
              June 5, 2002
              3103 Posts
              Offline
              Posted: October 7, 2016, 6:44 pm - IP Logged

              CoverMaster does not make group wheels.

              Try this . . .

              01 04 07 10 13 16
              01 04 09 12 15 16
              01 05 08 10 14 17
              01 05 08 12 15 18
              01 06 07 11 13 18
              01 06 07 12 14 16
              01 06 09 11 14 17
              02 04 08 11 14 17
              02 04 09 10 13 18
              02 05 07 11 15 18
              02 05 08 12 14 16
              02 05 09 11 13 16
              02 06 07 12 15 17
              02 06 08 10 13 17
              03 04 07 11 15 16
              03 04 09 11 13 17
              03 05 07 10 15 17
              03 05 07 12 14 18
              03 05 08 12 13 17
              03 06 08 10 15 16
              03 06 09 10 14 18
              03 06 09 12 13 16
              end 4if6=22 lines if one from each group of three. 123/456/789/101112/131415/161718

              Made with Advanced Lotto Tool

              Next time consider posting in the Systems forum your post will remain on the first page longer.

              BobP

                Avatar
                napi
                New Caledonia
                Member #61373
                May 20, 2008
                36 Posts
                Offline
                Posted: October 7, 2016, 8:31 pm - IP Logged

                CoverMaster does not make group wheels.

                Try this . . .

                01 04 07 10 13 16
                01 04 09 12 15 16
                01 05 08 10 14 17
                01 05 08 12 15 18
                01 06 07 11 13 18
                01 06 07 12 14 16
                01 06 09 11 14 17
                02 04 08 11 14 17
                02 04 09 10 13 18
                02 05 07 11 15 18
                02 05 08 12 14 16
                02 05 09 11 13 16
                02 06 07 12 15 17
                02 06 08 10 13 17
                03 04 07 11 15 16
                03 04 09 11 13 17
                03 05 07 10 15 17
                03 05 07 12 14 18
                03 05 08 12 13 17
                03 06 08 10 15 16
                03 06 09 10 14 18
                03 06 09 12 13 16
                end 4if6=22 lines if one from each group of three. 123/456/789/101112/131415/161718

                Made with Advanced Lotto Tool

                Next time consider posting in the Systems forum your post will remain on the first page longer.

                BobP

                Hi BobP

                Thanks for that, just the sort of group wheels I am looking for.Big Smile

                Yeah, I notice that covermaster doesn't seem to do group wheels.

                  RJOh's avatar - chipmunk
                  mid-Ohio
                  United States
                  Member #9
                  March 24, 2001
                  19825 Posts
                  Offline
                  Posted: October 7, 2016, 9:34 pm - IP Logged

                  CoverMaster does not make group wheels.

                  Try this . . .

                  01 04 07 10 13 16
                  01 04 09 12 15 16
                  01 05 08 10 14 17
                  01 05 08 12 15 18
                  01 06 07 11 13 18
                  01 06 07 12 14 16
                  01 06 09 11 14 17
                  02 04 08 11 14 17
                  02 04 09 10 13 18
                  02 05 07 11 15 18
                  02 05 08 12 14 16
                  02 05 09 11 13 16
                  02 06 07 12 15 17
                  02 06 08 10 13 17
                  03 04 07 11 15 16
                  03 04 09 11 13 17
                  03 05 07 10 15 17
                  03 05 07 12 14 18
                  03 05 08 12 13 17
                  03 06 08 10 15 16
                  03 06 09 10 14 18
                  03 06 09 12 13 16
                  end 4if6=22 lines if one from each group of three. 123/456/789/101112/131415/161718

                  Made with Advanced Lotto Tool

                  Next time consider posting in the Systems forum your post will remain on the first page longer.

                  BobP

                  What are the advantages of an 18 numbers wheel made using six groups of 3's rather than one group of 18?

                   * you don't need to buy more tickets, just buy a winning ticket * 
                     
                               Evil Looking       

                    Avatar
                    napi
                    New Caledonia
                    Member #61373
                    May 20, 2008
                    36 Posts
                    Offline
                    Posted: October 7, 2016, 11:02 pm - IP Logged

                    I have noticed that in our NZ lotto, that if you divide the total number of  numbers in a lotto game into groups of three, just about every draw, usually, at most, only one ball from each group of three is drawn. (We have 6 numbers plus one bonus number drawn in each game) e.g. group one with the numbers 1,2,3 in it, will at most have only one number in it. Therefore, if you divide the total number of balls in a game into groups of three you end up with 13 groups of three numbers. Therefore, assuming there is at most one winning number in each group, it is simply a matter of picking six groups, from the 13 groups that contain one winning number each, & then using a wheel system that will wheel at most one winning number from each group, thus making wheeling  far more efficient. (as opposed to just wheeling 18 numbers whereby you could end up with say 2 to 3 numbers from each group of 3 numbers).

                      I've had a lot of success using this system. (lots of 4th divisions), but managing to show a profit! Smile

                      BobP's avatar - bobp avatar.png
                      Dump Water Florida
                      United States
                      Member #380
                      June 5, 2002
                      3103 Posts
                      Offline
                      Posted: October 9, 2016, 5:38 pm - IP Logged

                      What are the advantages of an 18 numbers wheel made using six groups of 3's rather than one group of 18?

                      Advantage is 22 lines versus 42 lines.

                      Disadvantage is additional conditions that must be met.

                      BobP

                        Sunglasses's avatar - nicebear
                        Zaperlopopotam
                        Belgium
                        Member #173932
                        March 26, 2016
                        952 Posts
                        Offline
                        Posted: October 9, 2016, 6:14 pm - IP Logged

                        Advantage is 22 lines versus 42 lines.

                        Disadvantage is additional conditions that must be met.

                        BobP

                        Strong reduction on this full set:

                        Input: [[1, 2, 3], [4, 5, 6], [7, 8, 9], [10, 11, 12], [13, 14, 15], [16, 17, 18]].

                        Count of combinations: 729. Limit display: 200000.

                        1 4 7 10 13 16
                        1 4 7 10 13 17
                        1 4 7 10 13 18
                        1 4 7 10 14 16
                        1 4 7 10 14 17
                        1 4 7 10 14 18
                        1 4 7 10 15 16
                        1 4 7 10 15 17
                        1 4 7 10 15 18
                        1 4 7 11 13 16
                        1 4 7 11 13 17
                        1 4 7 11 13 18
                        1 4 7 11 14 16
                        1 4 7 11 14 17
                        1 4 7 11 14 18
                        1 4 7 11 15 16
                        1 4 7 11 15 17
                        1 4 7 11 15 18
                        1 4 7 12 13 16
                        1 4 7 12 13 17
                        1 4 7 12 13 18
                        1 4 7 12 14 16
                        1 4 7 12 14 17
                        1 4 7 12 14 18
                        1 4 7 12 15 16
                        1 4 7 12 15 17
                        1 4 7 12 15 18
                        1 4 8 10 13 16
                        1 4 8 10 13 17
                        1 4 8 10 13 18
                        1 4 8 10 14 16
                        1 4 8 10 14 17
                        1 4 8 10 14 18
                        1 4 8 10 15 16
                        1 4 8 10 15 17
                        1 4 8 10 15 18
                        1 4 8 11 13 16
                        1 4 8 11 13 17
                        1 4 8 11 13 18
                        1 4 8 11 14 16
                        1 4 8 11 14 17
                        1 4 8 11 14 18
                        1 4 8 11 15 16
                        1 4 8 11 15 17
                        1 4 8 11 15 18
                        1 4 8 12 13 16
                        1 4 8 12 13 17
                        1 4 8 12 13 18
                        1 4 8 12 14 16
                        1 4 8 12 14 17
                        1 4 8 12 14 18
                        1 4 8 12 15 16
                        1 4 8 12 15 17
                        1 4 8 12 15 18
                        1 4 9 10 13 16
                        1 4 9 10 13 17
                        1 4 9 10 13 18
                        1 4 9 10 14 16
                        1 4 9 10 14 17
                        1 4 9 10 14 18
                        1 4 9 10 15 16
                        1 4 9 10 15 17
                        1 4 9 10 15 18
                        1 4 9 11 13 16
                        1 4 9 11 13 17
                        1 4 9 11 13 18
                        1 4 9 11 14 16
                        1 4 9 11 14 17
                        1 4 9 11 14 18
                        1 4 9 11 15 16
                        1 4 9 11 15 17
                        1 4 9 11 15 18
                        1 4 9 12 13 16
                        1 4 9 12 13 17
                        1 4 9 12 13 18
                        1 4 9 12 14 16
                        1 4 9 12 14 17
                        1 4 9 12 14 18
                        1 4 9 12 15 16
                        1 4 9 12 15 17
                        1 4 9 12 15 18
                        1 5 7 10 13 16
                        1 5 7 10 13 17
                        1 5 7 10 13 18
                        1 5 7 10 14 16
                        1 5 7 10 14 17
                        1 5 7 10 14 18
                        1 5 7 10 15 16
                        1 5 7 10 15 17
                        1 5 7 10 15 18
                        1 5 7 11 13 16
                        1 5 7 11 13 17
                        1 5 7 11 13 18
                        1 5 7 11 14 16
                        1 5 7 11 14 17
                        1 5 7 11 14 18
                        1 5 7 11 15 16
                        1 5 7 11 15 17
                        1 5 7 11 15 18
                        1 5 7 12 13 16
                        1 5 7 12 13 17
                        1 5 7 12 13 18
                        1 5 7 12 14 16
                        1 5 7 12 14 17
                        1 5 7 12 14 18
                        1 5 7 12 15 16
                        1 5 7 12 15 17
                        1 5 7 12 15 18
                        1 5 8 10 13 16
                        1 5 8 10 13 17
                        1 5 8 10 13 18
                        1 5 8 10 14 16
                        1 5 8 10 14 17
                        1 5 8 10 14 18
                        1 5 8 10 15 16
                        1 5 8 10 15 17
                        1 5 8 10 15 18
                        1 5 8 11 13 16
                        1 5 8 11 13 17
                        1 5 8 11 13 18
                        1 5 8 11 14 16
                        1 5 8 11 14 17
                        1 5 8 11 14 18
                        1 5 8 11 15 16
                        1 5 8 11 15 17
                        1 5 8 11 15 18
                        1 5 8 12 13 16
                        1 5 8 12 13 17
                        1 5 8 12 13 18
                        1 5 8 12 14 16
                        1 5 8 12 14 17
                        1 5 8 12 14 18
                        1 5 8 12 15 16
                        1 5 8 12 15 17
                        1 5 8 12 15 18
                        1 5 9 10 13 16
                        1 5 9 10 13 17
                        1 5 9 10 13 18
                        1 5 9 10 14 16
                        1 5 9 10 14 17
                        1 5 9 10 14 18
                        1 5 9 10 15 16
                        1 5 9 10 15 17
                        1 5 9 10 15 18
                        1 5 9 11 13 16
                        1 5 9 11 13 17
                        1 5 9 11 13 18
                        1 5 9 11 14 16
                        1 5 9 11 14 17
                        1 5 9 11 14 18
                        1 5 9 11 15 16
                        1 5 9 11 15 17
                        1 5 9 11 15 18
                        1 5 9 12 13 16
                        1 5 9 12 13 17
                        1 5 9 12 13 18
                        1 5 9 12 14 16
                        1 5 9 12 14 17
                        1 5 9 12 14 18
                        1 5 9 12 15 16
                        1 5 9 12 15 17
                        1 5 9 12 15 18
                        1 6 7 10 13 16
                        1 6 7 10 13 17
                        1 6 7 10 13 18
                        1 6 7 10 14 16
                        1 6 7 10 14 17
                        1 6 7 10 14 18
                        1 6 7 10 15 16
                        1 6 7 10 15 17
                        1 6 7 10 15 18
                        1 6 7 11 13 16
                        1 6 7 11 13 17
                        1 6 7 11 13 18
                        1 6 7 11 14 16
                        1 6 7 11 14 17
                        1 6 7 11 14 18
                        1 6 7 11 15 16
                        1 6 7 11 15 17
                        1 6 7 11 15 18
                        1 6 7 12 13 16
                        1 6 7 12 13 17
                        1 6 7 12 13 18
                        1 6 7 12 14 16
                        1 6 7 12 14 17
                        1 6 7 12 14 18
                        1 6 7 12 15 16
                        1 6 7 12 15 17
                        1 6 7 12 15 18
                        1 6 8 10 13 16
                        1 6 8 10 13 17
                        1 6 8 10 13 18
                        1 6 8 10 14 16
                        1 6 8 10 14 17
                        1 6 8 10 14 18
                        1 6 8 10 15 16
                        1 6 8 10 15 17
                        1 6 8 10 15 18
                        1 6 8 11 13 16
                        1 6 8 11 13 17
                        1 6 8 11 13 18
                        1 6 8 11 14 16
                        1 6 8 11 14 17
                        1 6 8 11 14 18
                        1 6 8 11 15 16
                        1 6 8 11 15 17
                        1 6 8 11 15 18
                        1 6 8 12 13 16
                        1 6 8 12 13 17
                        1 6 8 12 13 18
                        1 6 8 12 14 16
                        1 6 8 12 14 17
                        1 6 8 12 14 18
                        1 6 8 12 15 16
                        1 6 8 12 15 17
                        1 6 8 12 15 18
                        1 6 9 10 13 16
                        1 6 9 10 13 17
                        1 6 9 10 13 18
                        1 6 9 10 14 16
                        1 6 9 10 14 17
                        1 6 9 10 14 18
                        1 6 9 10 15 16
                        1 6 9 10 15 17
                        1 6 9 10 15 18
                        1 6 9 11 13 16
                        1 6 9 11 13 17
                        1 6 9 11 13 18
                        1 6 9 11 14 16
                        1 6 9 11 14 17
                        1 6 9 11 14 18
                        1 6 9 11 15 16
                        1 6 9 11 15 17
                        1 6 9 11 15 18
                        1 6 9 12 13 16
                        1 6 9 12 13 17
                        1 6 9 12 13 18
                        1 6 9 12 14 16
                        1 6 9 12 14 17
                        1 6 9 12 14 18
                        1 6 9 12 15 16
                        1 6 9 12 15 17
                        1 6 9 12 15 18
                        2 4 7 10 13 16
                        2 4 7 10 13 17
                        2 4 7 10 13 18
                        2 4 7 10 14 16
                        2 4 7 10 14 17
                        2 4 7 10 14 18
                        2 4 7 10 15 16
                        2 4 7 10 15 17
                        2 4 7 10 15 18
                        2 4 7 11 13 16
                        2 4 7 11 13 17
                        2 4 7 11 13 18
                        2 4 7 11 14 16
                        2 4 7 11 14 17
                        2 4 7 11 14 18
                        2 4 7 11 15 16
                        2 4 7 11 15 17
                        2 4 7 11 15 18
                        2 4 7 12 13 16
                        2 4 7 12 13 17
                        2 4 7 12 13 18
                        2 4 7 12 14 16
                        2 4 7 12 14 17
                        2 4 7 12 14 18
                        2 4 7 12 15 16
                        2 4 7 12 15 17
                        2 4 7 12 15 18
                        2 4 8 10 13 16
                        2 4 8 10 13 17
                        2 4 8 10 13 18
                        2 4 8 10 14 16
                        2 4 8 10 14 17
                        2 4 8 10 14 18
                        2 4 8 10 15 16
                        2 4 8 10 15 17
                        2 4 8 10 15 18
                        2 4 8 11 13 16
                        2 4 8 11 13 17
                        2 4 8 11 13 18
                        2 4 8 11 14 16
                        2 4 8 11 14 17
                        2 4 8 11 14 18
                        2 4 8 11 15 16
                        2 4 8 11 15 17
                        2 4 8 11 15 18
                        2 4 8 12 13 16
                        2 4 8 12 13 17
                        2 4 8 12 13 18
                        2 4 8 12 14 16
                        2 4 8 12 14 17
                        2 4 8 12 14 18
                        2 4 8 12 15 16
                        2 4 8 12 15 17
                        2 4 8 12 15 18
                        2 4 9 10 13 16
                        2 4 9 10 13 17
                        2 4 9 10 13 18
                        2 4 9 10 14 16
                        2 4 9 10 14 17
                        2 4 9 10 14 18
                        2 4 9 10 15 16
                        2 4 9 10 15 17
                        2 4 9 10 15 18
                        2 4 9 11 13 16
                        2 4 9 11 13 17
                        2 4 9 11 13 18
                        2 4 9 11 14 16
                        2 4 9 11 14 17
                        2 4 9 11 14 18
                        2 4 9 11 15 16
                        2 4 9 11 15 17
                        2 4 9 11 15 18
                        2 4 9 12 13 16
                        2 4 9 12 13 17
                        2 4 9 12 13 18
                        2 4 9 12 14 16
                        2 4 9 12 14 17
                        2 4 9 12 14 18
                        2 4 9 12 15 16
                        2 4 9 12 15 17
                        2 4 9 12 15 18
                        2 5 7 10 13 16
                        2 5 7 10 13 17
                        2 5 7 10 13 18
                        2 5 7 10 14 16
                        2 5 7 10 14 17
                        2 5 7 10 14 18
                        2 5 7 10 15 16
                        2 5 7 10 15 17
                        2 5 7 10 15 18
                        2 5 7 11 13 16
                        2 5 7 11 13 17
                        2 5 7 11 13 18
                        2 5 7 11 14 16
                        2 5 7 11 14 17
                        2 5 7 11 14 18
                        2 5 7 11 15 16
                        2 5 7 11 15 17
                        2 5 7 11 15 18
                        2 5 7 12 13 16
                        2 5 7 12 13 17
                        2 5 7 12 13 18
                        2 5 7 12 14 16
                        2 5 7 12 14 17
                        2 5 7 12 14 18
                        2 5 7 12 15 16
                        2 5 7 12 15 17
                        2 5 7 12 15 18
                        2 5 8 10 13 16
                        2 5 8 10 13 17
                        2 5 8 10 13 18
                        2 5 8 10 14 16
                        2 5 8 10 14 17
                        2 5 8 10 14 18
                        2 5 8 10 15 16
                        2 5 8 10 15 17
                        2 5 8 10 15 18
                        2 5 8 11 13 16
                        2 5 8 11 13 17
                        2 5 8 11 13 18
                        2 5 8 11 14 16
                        2 5 8 11 14 17
                        2 5 8 11 14 18
                        2 5 8 11 15 16
                        2 5 8 11 15 17
                        2 5 8 11 15 18
                        2 5 8 12 13 16
                        2 5 8 12 13 17
                        2 5 8 12 13 18
                        2 5 8 12 14 16
                        2 5 8 12 14 17
                        2 5 8 12 14 18
                        2 5 8 12 15 16
                        2 5 8 12 15 17
                        2 5 8 12 15 18
                        2 5 9 10 13 16
                        2 5 9 10 13 17
                        2 5 9 10 13 18
                        2 5 9 10 14 16
                        2 5 9 10 14 17
                        2 5 9 10 14 18
                        2 5 9 10 15 16
                        2 5 9 10 15 17
                        2 5 9 10 15 18
                        2 5 9 11 13 16
                        2 5 9 11 13 17
                        2 5 9 11 13 18
                        2 5 9 11 14 16
                        2 5 9 11 14 17
                        2 5 9 11 14 18
                        2 5 9 11 15 16
                        2 5 9 11 15 17
                        2 5 9 11 15 18
                        2 5 9 12 13 16
                        2 5 9 12 13 17
                        2 5 9 12 13 18
                        2 5 9 12 14 16
                        2 5 9 12 14 17
                        2 5 9 12 14 18
                        2 5 9 12 15 16
                        2 5 9 12 15 17
                        2 5 9 12 15 18
                        2 6 7 10 13 16
                        2 6 7 10 13 17
                        2 6 7 10 13 18
                        2 6 7 10 14 16
                        2 6 7 10 14 17
                        2 6 7 10 14 18
                        2 6 7 10 15 16
                        2 6 7 10 15 17
                        2 6 7 10 15 18
                        2 6 7 11 13 16
                        2 6 7 11 13 17
                        2 6 7 11 13 18
                        2 6 7 11 14 16
                        2 6 7 11 14 17
                        2 6 7 11 14 18
                        2 6 7 11 15 16
                        2 6 7 11 15 17
                        2 6 7 11 15 18
                        2 6 7 12 13 16
                        2 6 7 12 13 17
                        2 6 7 12 13 18
                        2 6 7 12 14 16
                        2 6 7 12 14 17
                        2 6 7 12 14 18
                        2 6 7 12 15 16
                        2 6 7 12 15 17
                        2 6 7 12 15 18
                        2 6 8 10 13 16
                        2 6 8 10 13 17
                        2 6 8 10 13 18
                        2 6 8 10 14 16
                        2 6 8 10 14 17
                        2 6 8 10 14 18
                        2 6 8 10 15 16
                        2 6 8 10 15 17
                        2 6 8 10 15 18
                        2 6 8 11 13 16
                        2 6 8 11 13 17
                        2 6 8 11 13 18
                        2 6 8 11 14 16
                        2 6 8 11 14 17
                        2 6 8 11 14 18
                        2 6 8 11 15 16
                        2 6 8 11 15 17
                        2 6 8 11 15 18
                        2 6 8 12 13 16
                        2 6 8 12 13 17
                        2 6 8 12 13 18
                        2 6 8 12 14 16
                        2 6 8 12 14 17
                        2 6 8 12 14 18
                        2 6 8 12 15 16
                        2 6 8 12 15 17
                        2 6 8 12 15 18
                        2 6 9 10 13 16
                        2 6 9 10 13 17
                        2 6 9 10 13 18
                        2 6 9 10 14 16
                        2 6 9 10 14 17
                        2 6 9 10 14 18
                        2 6 9 10 15 16
                        2 6 9 10 15 17
                        2 6 9 10 15 18
                        2 6 9 11 13 16
                        2 6 9 11 13 17
                        2 6 9 11 13 18
                        2 6 9 11 14 16
                        2 6 9 11 14 17
                        2 6 9 11 14 18
                        2 6 9 11 15 16
                        2 6 9 11 15 17
                        2 6 9 11 15 18
                        2 6 9 12 13 16
                        2 6 9 12 13 17
                        2 6 9 12 13 18
                        2 6 9 12 14 16
                        2 6 9 12 14 17
                        2 6 9 12 14 18
                        2 6 9 12 15 16
                        2 6 9 12 15 17
                        2 6 9 12 15 18
                        3 4 7 10 13 16
                        3 4 7 10 13 17
                        3 4 7 10 13 18
                        3 4 7 10 14 16
                        3 4 7 10 14 17
                        3 4 7 10 14 18
                        3 4 7 10 15 16
                        3 4 7 10 15 17
                        3 4 7 10 15 18
                        3 4 7 11 13 16
                        3 4 7 11 13 17
                        3 4 7 11 13 18
                        3 4 7 11 14 16
                        3 4 7 11 14 17
                        3 4 7 11 14 18
                        3 4 7 11 15 16
                        3 4 7 11 15 17
                        3 4 7 11 15 18
                        3 4 7 12 13 16
                        3 4 7 12 13 17
                        3 4 7 12 13 18
                        3 4 7 12 14 16
                        3 4 7 12 14 17
                        3 4 7 12 14 18
                        3 4 7 12 15 16
                        3 4 7 12 15 17
                        3 4 7 12 15 18
                        3 4 8 10 13 16
                        3 4 8 10 13 17
                        3 4 8 10 13 18
                        3 4 8 10 14 16
                        3 4 8 10 14 17
                        3 4 8 10 14 18
                        3 4 8 10 15 16
                        3 4 8 10 15 17
                        3 4 8 10 15 18
                        3 4 8 11 13 16
                        3 4 8 11 13 17
                        3 4 8 11 13 18
                        3 4 8 11 14 16
                        3 4 8 11 14 17
                        3 4 8 11 14 18
                        3 4 8 11 15 16
                        3 4 8 11 15 17
                        3 4 8 11 15 18
                        3 4 8 12 13 16
                        3 4 8 12 13 17
                        3 4 8 12 13 18
                        3 4 8 12 14 16
                        3 4 8 12 14 17
                        3 4 8 12 14 18
                        3 4 8 12 15 16
                        3 4 8 12 15 17
                        3 4 8 12 15 18
                        3 4 9 10 13 16
                        3 4 9 10 13 17
                        3 4 9 10 13 18
                        3 4 9 10 14 16
                        3 4 9 10 14 17
                        3 4 9 10 14 18
                        3 4 9 10 15 16
                        3 4 9 10 15 17
                        3 4 9 10 15 18
                        3 4 9 11 13 16
                        3 4 9 11 13 17
                        3 4 9 11 13 18
                        3 4 9 11 14 16
                        3 4 9 11 14 17
                        3 4 9 11 14 18
                        3 4 9 11 15 16
                        3 4 9 11 15 17
                        3 4 9 11 15 18
                        3 4 9 12 13 16
                        3 4 9 12 13 17
                        3 4 9 12 13 18
                        3 4 9 12 14 16
                        3 4 9 12 14 17
                        3 4 9 12 14 18
                        3 4 9 12 15 16
                        3 4 9 12 15 17
                        3 4 9 12 15 18
                        3 5 7 10 13 16
                        3 5 7 10 13 17
                        3 5 7 10 13 18
                        3 5 7 10 14 16
                        3 5 7 10 14 17
                        3 5 7 10 14 18
                        3 5 7 10 15 16
                        3 5 7 10 15 17
                        3 5 7 10 15 18
                        3 5 7 11 13 16
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