Number of Possible Combinations within a Number GroupPrev TopicNext Topic

• GiveFive

  

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  Nov 4, 2017, 11:50 am

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  I'd like to know the number of combinations that are included in a "number group" in a 5/39 matrix.

  My definition of number groups are as follows: numbers 1 - 9 as the "units" group, 10 - 19 as the "tens" group, 20 - 29 as the "twenty's" group and 30 - 39 as the "thirty's" group. 

  The units group begins with this combination - 1 2 3 4 5 and ends with 5 6 7 8 9

  The first combo in the tens group starts with 10 11 12 13 14 and ends with 15 16 17 18 19

  I know there are 575,757 total combinations that could be drawn, but what is the total number of possible five number combinations included within each of the four number groups? 

  I realize all five winning numbers drawn from the same number group happens rarely.  It last happened on 12/25/14 in New York's Take5 when this combo was drawn: 31 32 33 37 39.

  If I'm correct, this is the make up of how number groups can be drawn;

  5 - 0 (all five numbers drawn were contained in the same number group - like what happened on 12/25/14)

  4 - 1 (four numbers from the same group, 1 number from a different group)

  3 - 2 (three from the same group, 2 from another group)

  2 - 1 - 1 (two from the same group, one each from two other groups)

  My thinking is that 2 - 1 - 1 happens most frequently.  Thanks for any help/insight. G5

  Play Smart!
• Mr-B 216

  

  Ohio
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  February 15, 2017
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  Nov 4, 2017, 1:26 pm

  ▲▼

  1-2-3-4-5 thru 5-6-7-8-9 = 126 combos

  10-11-12-13-14 thru 15-16-17-18-19 = 252 combos

  20-21-22-23-24  thru 25-26-27-28-29 = 252 combos

  30-31-32-33-34 thru 35-36-37-38-39 = 252 combos

   

  As for the 2-1-1 theory, I'll back test my Ohio 5/39 and get back to you.
• Mr-B 216

  

  Ohio
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  Nov 4, 2017, 2:41 pm

  ▲▼

  Here are the results from Ohio 5/39

  1-9   10-19   20-29   30-39

  1-1-1-2 --> 377 times.

  1-1-2-1 --> 324 times.

  1-2-1-1 --> 309 times.

  2-1-1-1 --> 266 times.

  0-2-2-1 --> 179 times.

  0-2-1-2 --> 173 times.

  0-1-2-2 --> 168 times.

  1-2-2-0 --> 151 times.

  1-2-0-2 --> 142 times.

  1-0-2-2 --> 139 times.

  2-1-0-2 --> 139 times.

  2-2-0-1 --> 132 times.

  2-1-2-0 --> 131 times.

  2-2-1-0 --> 125 times.

  2-0-2-1 --> 116 times.

  2-0-1-2 --> 114 times.

  0-1-1-3 --> 108 times.

  0-3-1-1 --> 99 times.

  1-3-0-1 --> 92 times.

  1-1-3-0 --> 90 times.

  0-1-3-1 --> 86 times.

  1-0-3-1 --> 82 times.

  3-1-0-1 --> 81 times.

  1-3-1-0 --> 80 times.

  1-1-0-3 --> 77 times.

  3-0-1-1 --> 72 times.

  1-0-1-3 --> 66 times.

  3-1-1-0 --> 60 times.

  0-3-0-2 --> 47 times.

  0-0-2-3 --> 46 times.

  0-3-2-0 --> 43 times.

  2-3-0-0 --> 42 times.

  0-2-0-3 --> 40 times.

  0-2-3-0 --> 40 times.

  3-0-2-0 --> 39 times.

  2-0-0-3 --> 36 times.

  0-0-3-2 --> 32 times.

  2-0-3-0 --> 32 times.

  3-2-0-0 --> 27 times.

  3-0-0-2 --> 24 times.
• Raven62

  

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  New Jersey
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  June 28, 2005
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  Nov 4, 2017, 4:44 pm

  ▲▼

  Group 0 Combinations (126):
  
  12345 12346 12347 12348 12349 12356 12357 12358 12359 12367
  
  12368 12369 12378 12379 12389 12456 12457 12458 12459 12467
  
  12468 12469 12478 12479 12489 12567 12568 12569 12578 12579
  
  12589 12678 12679 12689 12789 13456 13457 13458 13459 13467
  
  13468 13469 13478 13479 13489 13567 13568 13569 13578 13579
  
  13589 13678 13679 13689 13789 14567 14568 14569 14578 14579
  
  14589 14678 14679 14689 14789 15678 15679 15689 15789 16789
  
  23456 23457 23458 23459 23467 23468 23469 23478 23479 23489
  
  23567 23568 23569 23578 23579 23589 23678 23679 23689 23789
  
  24567 24568 24569 24578 24579 24589 24678 24679 24689 24789
  
  25678 25679 25689 25789 26789 34567 34568 34569 34578 34579
  
  34589 34678 34679 34689 34789 35678 35679 35689 35789 36789
  
  45678 45679 45689 45789 46789 56789

  A mind once stretched by a new idea never returns to its original dimensions!
  
  Catch-22: A dilemma or difficult circumstance from which there is no escape because of mutually conflicting or dependent conditions.
  
  Corruptissima re publica plurimae leges: When the republic is at its most corrupt the laws are most numerous.
  
  The best way to learn is to never stop being an Experiential Student!
• Mr-B 216

  

  Ohio
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  February 15, 2017
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  Nov 4, 2017, 6:21 pm

  ▲▼

  My first post had missing data so here is the updated list.

  1-1-1-2 --> 377 times.
  1-1-2-1 --> 324 times.
  1-2-1-1 --> 309 times.
  2-1-1-1 --> 266 times.
  0-2-2-1 --> 179 times.
  0-2-1-2 --> 173 times.
  0-1-2-2 --> 168 times.
  1-2-2-0 --> 151 times.
  1-2-0-2 --> 142 times.
  1-0-2-2 --> 139 times.
  2-1-0-2 --> 139 times.
  2-2-0-1 --> 132 times.
  2-1-2-0 --> 131 times.
  2-2-1-0 --> 125 times.
  2-0-2-1 --> 116 times.
  2-0-1-2 --> 115 times.
  0-1-1-3 --> 108 times.
  0-3-1-1 --> 99 times.
  1-3-0-1 --> 92 times.
  1-1-3-0 --> 90 times.
  0-1-3-1 --> 86 times.
  1-0-3-1 --> 82 times.
  3-1-0-1 --> 81 times.
  1-3-1-0 --> 80 times.
  1-1-0-3 --> 77 times.
  3-0-1-1 --> 72 times.
  1-0-1-3 --> 66 times.
  3-1-1-0 --> 60 times.
  0-3-0-2 --> 47 times.
  0-0-2-3 --> 46 times.
  0-3-2-0 --> 43 times.
  2-3-0-0 --> 43 times.
  0-2-0-3 --> 40 times.
  0-2-3-0 --> 40 times.
  3-0-2-0 --> 39 times.
  2-0-0-3 --> 36 times.
  0-0-3-2 --> 32 times.
  2-0-3-0 --> 32 times.
  3-2-0-0 --> 27 times.
  3-0-0-2 --> 24 times.
  0-4-1-0 --> 23 times.
  1-0-4-0 --> 21 times.
  0-0-1-4 --> 20 times.
  0-1-0-4 --> 20 times.
  1-0-0-4 --> 19 times.
  0-0-4-1 --> 18 times.
  0-4-0-1 --> 17 times.
  0-1-4-0 --> 16 times.
  4-0-1-0 --> 16 times.
  4-0-0-1 --> 13 times.
  4-1-0-0 --> 13 times.
  1-4-0-0 --> 12 times.
  0-0-0-5 --> 3 times.
  0-0-5-0 --> 1 time.
  0-5-0-0 --> 1 time.
• Raven62

  

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  Nov 4, 2017, 6:32 pm

  ▲▼
  In response to Mr-B 216

  Quote: Originally posted by Mr-B 216 on Nov 4, 2017

  My first post had missing data so here is the updated list.

  1-1-1-2 --> 377 times.
  1-1-2-1 --> 324 times.
  1-2-1-1 --> 309 times.
  2-1-1-1 --> 266 times.
  0-2-2-1 --> 179 times.
  0-2-1-2 --> 173 times.
  0-1-2-2 --> 168 times.
  1-2-2-0 --> 151 times.
  1-2-0-2 --> 142 times.
  1-0-2-2 --> 139 times.
  2-1-0-2 --> 139 times.
  2-2-0-1 --> 132 times.
  2-1-2-0 --> 131 times.
  2-2-1-0 --> 125 times.
  2-0-2-1 --> 116 times.
  2-0-1-2 --> 115 times.
  0-1-1-3 --> 108 times.
  0-3-1-1 --> 99 times.
  1-3-0-1 --> 92 times.
  1-1-3-0 --> 90 times.
  0-1-3-1 --> 86 times.
  1-0-3-1 --> 82 times.
  3-1-0-1 --> 81 times.
  1-3-1-0 --> 80 times.
  1-1-0-3 --> 77 times.
  3-0-1-1 --> 72 times.
  1-0-1-3 --> 66 times.
  3-1-1-0 --> 60 times.
  0-3-0-2 --> 47 times.
  0-0-2-3 --> 46 times.
  0-3-2-0 --> 43 times.
  2-3-0-0 --> 43 times.
  0-2-0-3 --> 40 times.
  0-2-3-0 --> 40 times.
  3-0-2-0 --> 39 times.
  2-0-0-3 --> 36 times.
  0-0-3-2 --> 32 times.
  2-0-3-0 --> 32 times.
  3-2-0-0 --> 27 times.
  3-0-0-2 --> 24 times.
  0-4-1-0 --> 23 times.
  1-0-4-0 --> 21 times.
  0-0-1-4 --> 20 times.
  0-1-0-4 --> 20 times.
  1-0-0-4 --> 19 times.
  0-0-4-1 --> 18 times.
  0-4-0-1 --> 17 times.
  0-1-4-0 --> 16 times.
  4-0-1-0 --> 16 times.
  4-0-0-1 --> 13 times.
  4-1-0-0 --> 13 times.
  1-4-0-0 --> 12 times.
  0-0-0-5 --> 3 times.
  0-0-5-0 --> 1 time.
  0-5-0-0 --> 1 time.

  Seems like he should target this group:
  
  1-1-1-2 --> 377 times.
  1-1-2-1 --> 324 times.
  1-2-1-1 --> 309 times.
  2-1-1-1 --> 266 times. 
  
  Rather than this group:
  
  0-0-0-5 --> 3 times.
  0-0-5-0 --> 1 time.
  0-5-0-0 --> 1 time.

  A mind once stretched by a new idea never returns to its original dimensions!
  
  Catch-22: A dilemma or difficult circumstance from which there is no escape because of mutually conflicting or dependent conditions.
  
  Corruptissima re publica plurimae leges: When the republic is at its most corrupt the laws are most numerous.
  
  The best way to learn is to never stop being an Experiential Student!
• JeetKuneDoLotto

  

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  November 27, 2014
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  Nov 4, 2017, 9:21 pm

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  In response to GiveFive

  Quote: Originally posted by GiveFive on Nov 4, 2017

  I'd like to know the number of combinations that are included in a "number group" in a 5/39 matrix.

  My definition of number groups are as follows: numbers 1 - 9 as the "units" group, 10 - 19 as the "tens" group, 20 - 29 as the "twenty's" group and 30 - 39 as the "thirty's" group. 

  The units group begins with this combination - 1 2 3 4 5 and ends with 5 6 7 8 9

  The first combo in the tens group starts with 10 11 12 13 14 and ends with 15 16 17 18 19

  I know there are 575,757 total combinations that could be drawn, but what is the total number of possible five number combinations included within each of the four number groups? 

  I realize all five winning numbers drawn from the same number group happens rarely.  It last happened on 12/25/14 in New York's Take5 when this combo was drawn: 31 32 33 37 39.

  If I'm correct, this is the make up of how number groups can be drawn;

  5 - 0 (all five numbers drawn were contained in the same number group - like what happened on 12/25/14)

  4 - 1 (four numbers from the same group, 1 number from a different group)

  3 - 2 (three from the same group, 2 from another group)

  2 - 1 - 1 (two from the same group, one each from two other groups)

  My thinking is that 2 - 1 - 1 happens most frequently.  Thanks for any help/insight. G5

  My thinking is that 2 - 1 - 1 happens most frequently.  Thanks for any help/insight. G5

   

  If you think that 2 - 1 - 1 is the most frequent in a pick five, then you might need much more help than you originally had anticipated.

  Have you entered the place where the snow is stored? Or have you seen the storehouses of hail, Which I hold in reserve for times of trouble, for the day of  battle and war?  JOB 38:22 HCSB
  
• GiveFive

  

  Florida - West Coast
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  Nov 5, 2017, 5:45 am

  ▲▼
  In response to Mr-B 216

  Quote: Originally posted by Mr-B 216 on Nov 4, 2017

  1-2-3-4-5 thru 5-6-7-8-9 = 126 combos

  10-11-12-13-14 thru 15-16-17-18-19 = 252 combos

  20-21-22-23-24  thru 25-26-27-28-29 = 252 combos

  30-31-32-33-34 thru 35-36-37-38-39 = 252 combos

   

  As for the 2-1-1 theory, I'll back test my Ohio 5/39 and get back to you.

  Thank you very much.  If I did the math correctly, there are total of 882 combos of five numbers (out of a possible 575,757) where all five numbers are within the same number group. (0.0015% of all combo's)

  As I mentioned in my original post, 31 32 33 37 39 was drawn on 12/25/14.  There have been a total of 7,518 NY Take5 drawings since the game began in January of 1992. Based on the fact that only 0.0015% of all combo's have all five numbers in the same group, I'm guessing that drawing was probably the only time five winning numbers were drawn from the same number group over the life of Take5.

  I'd love to be able to verify if that's true or not. I can download a speadsheet from The NY Lottery's website that contains all drawings, but I'm not sure whether or not Excel can sort all the drawings in ascending order. Any idea if Excel can do that, or would it require a program?  I was never a programmer, so I have zero coding skills.

  Thanks again.  G5 

  Play Smart!
• GiveFive

  

  Florida - West Coast
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  Nov 5, 2017, 5:56 am

  ▲▼
  In response to GiveFive

  Quote: Originally posted by GiveFive on Nov 5, 2017

  Thank you very much.  If I did the math correctly, there are total of 882 combos of five numbers (out of a possible 575,757) where all five numbers are within the same number group. (0.0015% of all combo's)

  As I mentioned in my original post, 31 32 33 37 39 was drawn on 12/25/14.  There have been a total of 7,518 NY Take5 drawings since the game began in January of 1992. Based on the fact that only 0.0015% of all combo's have all five numbers in the same group, I'm guessing that drawing was probably the only time five winning numbers were drawn from the same number group over the life of Take5.

  I'd love to be able to verify if that's true or not. I can download a speadsheet from The NY Lottery's website that contains all drawings, but I'm not sure whether or not Excel can sort all the drawings in ascending order. Any idea if Excel can do that, or would it require a program?  I was never a programmer, so I have zero coding skills.

  Thanks again.  G5 

  I take my guess back! 

  I just started poking around in my copy of Advantage Plus software and discovered that NY's Take5 saw on January 28th, 2000 the combo of 1 3 5 6 7 drawn.  Cant be many more of 'em!!   G5 

  Play Smart!
• Mr-B 216

  

  Ohio
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  Nov 5, 2017, 10:38 am

  ▲▼

  Here is a .csv file with the 7510 drawings sorted in ascending order.
• LottoBux

  

  25

  Ontario
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  Nov 5, 2017, 11:10 am

  ▲▼
  In response to GiveFive

  Quote: Originally posted by GiveFive on Nov 5, 2017

  I take my guess back! 

  I just started poking around in my copy of Advantage Plus software and discovered that NY's Take5 saw on January 28th, 2000 the combo of 1 3 5 6 7 drawn.  Cant be many more of 'em!!   G5 

  With Advantage Gold,You Can Set Custom Groups.

  There Are 6 Total Hits.

  Group A (01-09) 2 Hits

  07/08/13.....1-5-7-8-9

  01/28/00.....1-3-5-6-7

   

  Group B (10-19) 1 Hit

  09/20/01.....10-13-16-18-19

   

  Group C (20-29) 2 Hits

  08/25/07.....20-21-22-23-27

  07/13/06.....23-24-25-26-29

   

  Group D (30-39) 1 Hit

  12/25/14.....31-32-33-37-39

                   
  
• Mr-B 216

  

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  Nov 5, 2017, 2:08 pm

  ▲▼

  Here are your group totals for NY 5/39.

  1-1-2-1 541 times. 7.20%
  1-1-1-2 509 times. 6.78%
  1-2-1-1 508 times. 6.76%
  2-1-1-1 476 times. 6.34%
  0-1-2-2 273 times. 3.64%
  0-2-2-1 264 times. 3.52%
  0-2-1-2 255 times. 3.40%
  1-2-0-2 249 times. 3.32%
  1-0-2-2 236 times. 3.14%
  2-2-0-1 235 times. 3.13%
  2-0-2-1 232 times. 3.09%
  2-1-0-2 225 times. 3.00%
  2-1-2-0 220 times. 2.93%
  1-2-2-0 210 times. 2.80%
  2-0-1-2 201 times. 2.68%
  2-2-1-0 201 times. 2.68%
  0-1-1-3 163 times. 2.17%
  0-1-3-1 156 times. 2.08%
  1-3-0-1 154 times. 2.05%
  1-3-1-0 154 times. 2.05%
  0-3-1-1 151 times. 2.01%
  1-1-3-0 149 times. 1.98%
  1-0-3-1 146 times. 1.94%
  1-1-0-3 120 times. 1.60%
  3-1-0-1 117 times. 1.56%
  1-0-1-3 112 times. 1.49%
  3-0-1-1 105 times. 1.40%
  3-1-1-0 105 times. 1.40%
  0-0-2-3 77 times. 1.03%
  0-2-3-0 75 times. 1.00%
  0-3-0-2 69 times. 0.92%
  0-3-2-0 68 times. 0.91%
  0-2-0-3 64 times. 0.85%
  2-3-0-0 64 times. 0.85%
  0-0-3-2 63 times. 0.84%
  3-2-0-0 62 times. 0.83%
  3-0-0-2 59 times. 0.79%
  2-0-0-3 54 times. 0.72%
  3-0-2-0 52 times. 0.69%
  2-0-3-0 43 times. 0.57%
  1-0-0-4 35 times. 0.47%
  0-4-1-0 33 times. 0.44%
  0-0-1-4 30 times. 0.40%
  0-0-4-1 27 times. 0.36%
  0-1-0-4 27 times. 0.36%
  0-1-4-0 23 times. 0.31%
  0-4-0-1 23 times. 0.31%
  1-0-4-0 22 times. 0.29%
  1-4-0-0 20 times. 0.27%
  4-1-0-0 18 times. 0.24%
  4-0-0-1 17 times. 0.23%
  4-0-1-0 12 times. 0.16%
  0-0-5-0 2 times. 0.03%
  5-0-0-0 2 times. 0.03%
  0-0-0-5 1 times. 0.01%
  0-5-0-0 1 times. 0.01%
              7510     100.00%
• GiveFive

  

  Florida - West Coast
  United States
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  Nov 5, 2017, 3:14 pm

  ▲▼
  In response to LottoBux

  Quote: Originally posted by LottoBux on Nov 5, 2017

  With Advantage Gold,You Can Set Custom Groups.

  There Are 6 Total Hits.

  Group A (01-09) 2 Hits

  07/08/13.....1-5-7-8-9

  01/28/00.....1-3-5-6-7

   

  Group B (10-19) 1 Hit

  09/20/01.....10-13-16-18-19

   

  Group C (20-29) 2 Hits

  08/25/07.....20-21-22-23-27

  07/13/06.....23-24-25-26-29

   

  Group D (30-39) 1 Hit

  12/25/14.....31-32-33-37-39

  Thank you! 

  I'm surprised that it's happened six times in 7500+ drawings.  Guess I'll have to cave in and upgrade to Advantage Gold.  G5

  Play Smart!
• dr san

  

  bgonçalves
  Brasil
  Member #92,560
  June 9, 2010
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  Nov 7, 2017, 12:34 am

  ▲▼

  Hello, GIVE FIVE!!!perfect matrix of the initial digit of the 5/39
    With 56 trainings at 100%, you can test
    You have to separate the initial digits
    Ex = 17 initial or the first digit of the number
    Then half will already be hitting 100%
  In sweepstakes they saw, the last digit is missing
  But you can filter these 56 go to a 30 formations
    And fix them
    Example the formation = 00000 or 33333 very difficult to be drawn

  0 0 0 0 0
  0 0 0 0 1
  0 0 0 0 2
  0 0 0 0 3
  0 0 0 1 1
  0 0 0 1 2
  0 0 0 1 3
  0 0 0 2 2
  0 0 0 2 3
  0 0 0 3 3
  0 0 1 1 1
  0 0 1 1 2
  0 0 1 1 3
  0 0 1 2 2
  0 0 1 2 3
  0 0 1 3 3
  0 0 2 2 2
  0 0 2 2 3
  0 0 2 3 3
  0 0 3 3 3
  0 1 1 1 1
  0 1 1 1 2
  0 1 1 1 3
  0 1 1 2 2
  0 1 1 2 3
  0 1 1 3 3
  0 1 2 2 2
  0 1 2 2 3
  0 1 2 3 3
  0 1 3 3 3
  0 2 2 2 2
  0 2 2 2 3
  0 2 2 3 3
  0 2 3 3 3
  0 3 3 3 3
  1 1 1 1 1
  1 1 1 1 2
  1 1 1 1 3
  1 1 1 2 2
  1 1 1 2 3
  1 1 1 3 3
  1 1 2 2 2
  1 1 2 2 3
  1 1 2 3 3
  1 1 3 3 3
  1 2 2 2 2
  1 2 2 2 3
  1 2 2 3 3
  1 2 3 3 3
  1 3 3 3 3
  2 2 2 2 2
  2 2 2 2 3
  2 2 2 3 3
  2 2 3 3 3
  2 3 3 3 3
  3 3 3 3 3
• dr san

  

  bgonçalves
  Brasil
  Member #92,560
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  Nov 7, 2017, 12:41 am

  ▲▼

  ex= 12 20 21 34 38= 12233

  0 0 0 0 0
  0 0 0 0 1
  0 0 0 0 2
  0 0 0 0 3
  0 0 0 1 1
  0 0 0 1 2
  0 0 0 1 3
  0 0 0 2 2
  0 0 0 2 3
  0 0 0 3 3
  0 0 1 1 1
  0 0 1 1 2
  0 0 1 1 3
  0 0 1 2 2
  0 0 1 2 3
  0 0 1 3 3
  0 0 2 2 2
  0 0 2 2 3
  0 0 2 3 3
  0 0 3 3 3
  0 1 1 1 1
  0 1 1 1 2
  0 1 1 1 3
  0 1 1 2 2
  0 1 1 2 3
  0 1 1 3 3
  0 1 2 2 2
  0 1 2 2 3
  0 1 2 3 3
  0 1 3 3 3
  0 2 2 2 2
  0 2 2 2 3
  0 2 2 3 3
  0 2 3 3 3
  0 3 3 3 3
  1 1 1 1 1
  1 1 1 1 2
  1 1 1 1 3
  1 1 1 2 2
  1 1 1 2 3
  1 1 1 3 3
  1 1 2 2 2
  1 1 2 2 3
  1 1 2 3 3
  1 1 3 3 3
  1 2 2 2 2
  1 2 2 2 3
  1 2 2 3 3=hello eh!!  100%
  1 2 3 3 3
  1 3 3 3 3
  2 2 2 2 2
  2 2 2 2 3
  2 2 2 3 3
  2 2 3 3 3
  2 3 3 3 3
  3 3 3 3 3