Kaizo snooker

[Admin]

Snooker is a lot more difficult than pool in terms of potting the ball but in terms of positional play there is a lot more options making it easier in that respect (initially 15 reds, 6 colors to choose from after a red).

Unfortunatily its now getting too easy for the top players to score a single winning break from the start so we need to crank up the difficulty to make it interesting again.

 

[Admin]

You are only allowed to pot a black after potting red (and no other color).

after potting yellow (and no other color) you are only allowed to pot a pink, green xor blue. You have to nominate a color first.

After potting at least one yellow and at least one red ball you are only allowed to pot brown balls.

The final balls are potted in the order brown, green, brown, blue, pink, black.

Potting multiple balls
If no red/yellow ball was potted the previous shot one player will be awarded:

score = {the total value of the balls potted} * {the number of balls potted in the shot}

If at least one yellow/red ball was potted the previous pot one player will be awarded:

score = {the total value of the balls potted} * {the number of balls potted in the shot} * {the number of balls potted the previous pot}

Of course if you make a foul then all these points will instead be awarded to your opponent.

Maximum break
The theoretical maximum is 547

12 reds and 3 yellows 270
2 brown balls 240
2 brown balls 16
1 green ball 3
1 blue ball 5
1 pink ball 6
1 blak ball 7

The highest score you can get without potting more than one ball at once is 149

 

[Admin]

Replacing the miss rule
If you fail to hit the object ball first your opponents will have the following options

0. move one ball (can be the cue-ball) to a new position and play from there.
1. Force you to play again from the new position

If you go for 0 there would be the following restrictions

• You cannot put the cue-ball so its touching another ball.
• A non-cue ball has to have a certain distance from the long edges and all other balls.

Enough of that nonsense.

Sure maybe having 3 chances to pot the ball would be fair but this is kaizo so you will only get one chance to escape the snooker obviously.

 

[Admin]

Here you can only play to green, blue, black after red.

You can still play for pink, grown or yellow after red but then you have to hit both balls of that color to avoid foul and you have to pot both to continue with the break. Potting both balls here will only give you for example 12 points if you pot 2 pink balls.

After the final red (and subsequent color if potted) the balls will normally be potted in the following order.

yellow (2)
brown (4)
pink (6)
yellow (2)
green (3)
brown (4)
blue (5)
pink (6)
black (7)

Potting both yellow balls will here give you a total of 8 points.

Potting both brown balls will here give you a total of 16 points.

Potting both pink balls will here give you a total of 24 points.

If both balls of a color are potten said color will simply be skipped over later allowing the following.

2x2,4,6,3,4,5,6,7
2,2x4,6,2,3,5,6,7
2,4,2x6,2,3,4,5,7
2x2,2x4,6,3,5,6,7
2x2,4,2x6,3,4,5,7
2,2x4,2x6,2,3,5,7
2x2,2x4,2x6,3,5,7

Potting multiple reds
The number of points awarded per red ball will be equal to the number of red balls potted. Then after the red ball the points from potting the subsequent color will also be multiplied by the number of red balls potted previously.

points = (the number of red balls potted)²

Is this game even good?
Looking at this game it seems very much inferior to colorball so i will not promote it. It might however inspire someone to create something better.

This is game has the same problem many other variant-games has, it's too similar to snooker resulting in people simply playing the original game instead. Derivative games tend to either fail completely or (very rarely) replace the original but i don't see this replacing snooker any time soon.

 

[Admin]

Making potting more difficult
The game above would of course be really hard (especially when you need to pot more than one ball to win without snooker) but it would not really be any harder than doing a 147 which many players have done.

https://en.wikipedia.org/wiki/Maximum_break

Instead of you being supposed to pot the ball you have to hit first with the cue-ball you will instead be supposed to hit pot one of the balls you are not allowed to first hit with the cue-ball.

At the first shot you will have to hit a red first and that will not be enough to avoid a foul, you will also make sure to put a color or have a color touch an edge (to avoid minor foul).

After potting a color you will then go on to pot the reds but from there you will instead have to first hit a color first.

Points for each ball same as snooker except the red balls will be 8 points each. A foul will be 4 points unless any ball (that wasn't the cue-ball) was potted).

Points = {the total value of the balls potted} * {number of balls potted}

The game is over once the final red is potted, reds will never be put back after being potted so if you have big enough lead you can pot the final red via a foul giving your opponent 8 points (if you lead by more than 8 points).

 

[Admin]

Having to pot the reds in a certain order
Actually you will be allowed to pot any red ball but if you fail to pot they signature red you will be limited to only playing for brown (2 points) or black (5 points).

You can only play for black or brown after potting a red when there was only one red left at the table, then however black will give you 7 points and brown will give you 4 points.

The amount of points you get for potting a color will be multiplied with the number of reds you potted previously. Lets say you potted the final 3 reds, that will give you 9 points, if you then go ahead and pot the pink you will get another 18 points (unless you make a foul).

 

[Admin]

Colorball
The colors are potted in the same order as normal snooker if the number of balls left of these colors are equal, otherwise you will just pot the most numerous color. Thus you will play yellow to green to brown to blue to pink and then yellow again and continue like that until all balls are potted or your opponent concedes (unless you pot more than one which can change the order you pot in).

Instead of having each color have a fixed value the value of each ball will be equal to the number of balls potted in that pot unless a color is cleared. Clearing a color means potting all remaining balls of that color and that will double the amounts of points awarded for the pot.

So if you pot the final 2 blue you will get double the points for clearing a color and which will give you a total of 8 points (4 points per ball). If you pot 3 yellow balls when there was 5 on the table you will get 9 points (3 points per ball).

But if you pot any ball of another color than you were supposed to pot these points will instead get rewarded to your opponent. The balls illegally potted will then be put back on the table.

Foul and severe foul
At least one ball must be potted or touch the cushion (unless there are less than 6 of the object ball), otherwise the opponent will be awarded one point (ordinary foul). Potting a ball (or several) you were not supposed to pot is also an ordinary foul which will give your opponent at least one point.

Accidentally touching a ball is an ordinary foul if it doesn't affect the outcome of the shot, otherwise it's a severe foul.

Consequences of severe foul
If you commit a severe foul your opponent will be allowed to force you to place again or move one ball at the table to a new location, said new location cannot be too close to the long side (unless it's the cue-ball being moved) and it cannot be the too close to some other ball.

Failing to hit the object ball first will be a foul and a miss or severe foul, the players can be allowed more than one chance such as having severe foul after missing 3 times in a row and allowed the balls to be put back twice to the same location.

When there is only 1 color left
For the first foul a player makes there will be "ball in hand" allowing the player to put the cueball anywhere on the table and play from there or force the opponent to play again from the current position (if the cueball wasn't potted) but if a player has made a foul before all balls will be moved off the table and considered potted by the opponent.

Pink and yellow ball decider
If both player has the same number of points when all balls has been potted the turn will shift to the other player and two balls of two colors will be put back on the table. This allows you to snooker the opponent after potting the final ball.

The pink ball will be placed at the starting location of the brown ball furthest to the right.

The yellow ball will be placed at the starting location of the brown ball furthest to the left.

Single frame format
The winner of the last frame will break the next frame unless it's a frame to win the match in which case your opponent will break, the amount of frames will be extended (such as by 4) if it ends in a draw (such as 8 vs 8) where the player to break will be the first one to be one frame short of winning (such as winning 8 frames out of 16).

Double frame format
The points of the first frame will carry over to the next, each player will break once in total for these 2 joint frames.

 

[Admin]

Colorball with black
16 black balls are added so you will pot balls in the order (yellow, green, brown, blue, pink, black) 16 times, this is even harder than ordinary colorball which in tern is a lot harder than standard snooker.

If a ball is potted when it shouldn't be it will be put back to one of the black ball spots (if available), otherwise the ball can be put anywhere in the area enclosed by 8 black ball spots if the cue-ball isn't there.

 

[Admin]

Colorball strategy
Often it will be possible to play safe while still attempting the pot since unlike snooker your next color will never be the color your opponent will play for in the case you miss.

If you need a double to win without snookers you can work towards setting that up getting a ball close to a pocket so it will be easy to pot while also potting another ball of said color.

It's extra important to be careful not to accidentily pot an extra ball of the wrong color since going so will prevent you from continuing the break and your opponent will be awarded at least 4 points (if you also make the intended pot). It's even worse if you accidentily pot the last ball of a color since that will double the amount of points so your opponent will get 16 points if you also pot the last ball of the intended color.

The extended ball in hand rule (where you will be allowed to move any ball to a new position after a foul) can be used to set up a double giving you more points (4 or 8 instead of just 1).

 

[Admin]

Reduced version (5 colors)
Here brown is the first color to be potted but after that it's standard (yellow, green, brown, blue, pink) order.

 

[Admin]

Detailed scoring table (colorball)
These figures can be optained using the formula

points = 2^{the number of colors cleared} * {number of balls potted}²

CC = color cleared:

Balls potted   points (0 CC)    points (1 CC)    Points (2 CC)    points(3 CC)   Points(4 CC)   points(5 CC)   Points(6 CC)    points(7 CC)    Points(8 CC)    points(9 CC)    points(10 CC)    points(11 CC)    Points(12 CC)    points(13 CC)    Points(14 CC)    points(15 CC)    Points(16 CC)    points(17 CC)    Points(18 CC)    points(19 CC)
1              1                2                                                                                                                            
2              4                8                16                                                                                                               
3              9                18               36               72                                                                                                  
4              16               32               64               128            256                                                                                          
5              25               50               100              200            400            800                                                                                     
6              36               72               144              288            576            1152           2304                                                                           
7              49               98               196              392            784            1568           3136            6272                                                                 
8              64               128              256              512            1024           2048           4096            8192            16384                                                     
9              81               162              324              648            1296           2592           5184            10368           20736           41472                                         
10             100              200              400              800            1600           3200           6400            12800           25600           51200           102400                                          
11             121              242              484              968            1936           3872           7744            15488           30976           61952           123904           247808                                 
12             144              288              576              1152           2304           4608           9216            18432           36864           73728           147456           294912           589824                   
13             169              338              676              1352           2704           5408           10816           21632           43264           86528           173056           346112           692224           1384448       
14             196              392              784              1568           3136           6272           12544           25088           50176           100352          200704           401408           802816           1605632          3211264
15             225              450              900              1800           3600           7200           14400           28800           57600           115200          230400           460800           921600           1843200          3686400          7372800
16             256              512              1024             2048           4096           8192           16384           32768           65536           131072          262144           524288           1048576          2097152          4194304          8388608          16777216
17             289              578              1156             2312           4624           9248           18496           36992           73984           147968          295936           591872           1183744          2367488          4734976          9469952          18939904         97879808
18             324              648              1296             2592           5184           10368          20736           41472           82944           165888          331776           663552           1327104          2654208          5308416          10616832         21233664         42467328         84934656
19             361              722              1444             2888           5776           11552          23104           46208           92416           184832          369664           739328           1478656          2957312          5914624          11829248         23658496         47316992         94633984         189267968
20             400              800              1600             3200           6400           12800          25600           51200           102400          204800          409600           819200           1638400          3276800          6553600          13107200         26214400         52428800         104857600        209715200
21             441              882              1764             3528           7056           14112          28224           56448           112896          225792          451584           903168           1806336          3612672          7225344          14450688         28901376         57802752         115605504        231211008
22             484              968              1936             3872           7744           15488          30976           61952           123904          247808          495616           991232           1982464          3964928          7929856          15859712         31719424         63438848         126877696        253755392
23             529              1058             2116             4232           8464           16928          33856           67712           135424          270848          541696           1083392          2166784          4333568          8667136          17334272         34668544         69337088         138674176        277348352
24             576              1152             2304             4608           9216           18432          36864           73728           147456          294912          589824           1179648          2359296          4718592          9437184          18874368         37748736         75497472         150994944        301989888
25             625              1250             2500             5000           10000          20000          40000           80000           160000          320000          640000           1280000          2560000          5120000          10240000         20480000         40960000         81920000         163840000        327680000
26             676              1352             2704             5408           10816          21632          43264           86528           173056          346112          692224           1384448          2768896          5537792          11075584         22151168         44302336         88604672         177209344        354418688
27             729              1458             2916             5832           11664          23328          46656           93312           186624          373248          746496           1492992          2985984          5971968          11943936         23887872         47775744         95551488         191102976        382205952
28             784              1568             3136             6272           12544          25088          50176           100352          200704          401408          802816           1605632          3211264          6422528          12845056         25690112         51380224         102760448        205520896        411041792
29             841              1682             3364             6728           13456          26912          53824           107648          215296          430592          861184           1722368          3444736          6889472          13778944         27557888         55115776         110231552        220463104        440926208
30             900              1800             3600             7200           14400          28800          57600           115200          230400          460800          921600           1843200          3686400          7372800          14745600         29491200         58982400         117964800        235929600        471859200
31             961              1922             3844             7688           15376          30752          61504           123008          246016          492032          984064           1968128          3936256          7872512          15745024         31490048         62980096         125960192        251920384        503840768
32             1024             2048             4096             8192           16384          32768          65536           131072          262144          524288          1048576          2097152          4194304          8388608          16777216         33554432         67108864         134217728        268435456        536870912
33             1089             2178             4356             8712           17424          34848          69696           139392          278784          557568          1115136          2230272          4460544          8921088          17842176         35684352         71368704         142737408        285474816        570949632
34             1156             2312             4624             9248           18496          36992          73984           147968          295936          591872          1183744          2367488          4734976          9469952          18939904         37879808         75759616         151519232        303038464        606076928
35             1225             2450             4900             9800           19600          39200          78400           156800          313600          627200          1254400          2508800          5017600          10035200         20070400         40140800         80281600         160563200        321126400        642252800
36             1296             2592             5184             10368          20736          41472          82944           165888          331776          663552          1327104          2654208          5308416          10616832         21233664         42467328         84934656         169869312        339738624        679477248
37             1369             2738             5476             10952          21904          43808          87616           175232          350464          700928          1401856          2803712          5607424          11214848         22429696         44859392         89718784         179437568        358875136        717750272
38             1444             2888             5776             11552          23104          46208          92416           184832          369664          739328          1478656          2957312          5914624          11829248         23658496         47316992         94633984         189267968        378535936        757071872
39             1521             3042             6084             12168          24336          48672          97344           194688          389376          778752          1557504          3115008          6230016          12460032         24920064         49840128         99680256         199360512        398721024        797442048
40             1600             3200             6400             12800          25600          51200          102400          204800          409600          819200          1638400          3276800          6553600          13107200         26214400         52428800         104857600        209715200        419430400        838860800
41             1681             3362             6724             13448          26896          53792          107584          215168          430336          860672          1721344          3442688          6885376          13770752         27541504         55083008         110166016        220332032        440664064        881328128
42             1764             3528             7056             14112          28224          56448          112896          225792          451584          903168          1806336          3612672          7225344          14450688         28901376         57802752         115605504        231211008        462422016        924844032
43             1849             3698             7396             14792          29584          59168          118336          236672          473344          946688          1893376          3786752          7573504          15147008         30294016         60588032         121176064        242352128        484704256        969408512
44             1936             3872             7744             15488          30976          61952          123904          247808          495616          991232          1982464          3964928          7929856          15859712         31719424         63438848         126877696        253755392        507510784        1015021568
45             2025             4050             8100             16200          32400          64800          129600          259200          518400          1036800         2073600          4147200          8294400          16588800         33177600         66355200         132710400        265420800        530841600        1061683200
46             2116             4232             8464             16928          33856          67712          135424          270848          541696          1083392         2166784          4333568          8667136          17334272         34668544         69337088         138674176        277348352        554696704        1109393408
47             2209             4418             8836             17672          35344          70688          141376          282752          565504          1131008         2262016          4524032          9048064          18096128         36192256         72384512         144769024        289538048        579076096        1158152192
48             2304             4608             9216             18432          36864          73728          147456          294912          589824          1179648         2359296          4718592          9437184          18874368         37748736         75497472         150994944        301989888        603979776        1207959552
49             2401             4802             9604             19208          38416          76832          153664          307328          614656          1229312         2458624          4917248          9834496          19668992         39337984         78675968         157351936        314703872        629407744        1258815488
50             2500             5000             10000            20000          40000          80000          160000          320000          640000          1280000         2560000          5120000          10240000         20480000         40960000         81920000         163840000        327680000        655360000        1310720000
51             2601             5202             10404            20808          41616          83232          166464          332928          665856          1331712         2663424          5326848          10653696         21307392         42614784         85229568         170459136        340918272        681836544        1363673088
52             2704             5408             10816            21632          43264          86528          173056          346112          692224          1384448         2768896          5537792          11075584         22151168         44302336         88604672         177209344        354418688        708837376        1417674752
53             2809             5618             11236            22472          44944          89888          179776          359552          719104          1438208         2876416          5752832          11505664         23011328         46022656         92045312         184090624        368181248        736362496        1472724992
54             2916             5832             11664            23328          46656          93312          186624          373248          746496          1492992         2985984          5971968          11943936         23887872         47775744         95551488         191102976        382205952        764411904        1528823808
55             3025             6050             12100            24200          48400          96800          193600          387200          774400          1548800         3097600          6195200          12390400         24780800         49561600         99123200         198246400        396492800        792985600        1585971200
56             3136             6272             12544            25088          50176          100352         200704          401408          802816          1605632         3211264          6422528          12845056         25690112         51380224         102760448        205520896        411041792        822083584        1644167168
57             3249             6498             12996            25992          51984          103968         207936          415872          831744          1663488         3326976          6653952          13307904         26615808         53231616         106463232        212926464        425852928        851705856        1703411712
58             3364             6728             13456            26912          53824          107648         215296          430592          861184          1722368         3444736          6889472          13778944         27557888         55115776         110231552        220463104        440926208        881852416        1763704832
59             3481             6962             13924            27848          55696          111392         222784          445568          891136          1782272         3564544          7129088          14258176         28516352         57032704         114065408        228130816        456261632        912523264        1825046528
60             3600             7200             14400            28800          57600          115200         230400          460800          921600          1843200         3686400          7372800          14745600         29491200         58982400         117964800        235929600        471859200        943718400        1887436800
61             3721             7442             14884            29768          59536          119072         238144          476288          952576          1905152         3810304          7620608          15241216         30482432         60964864         121929728        243859456        487718912        975437824        1950875648
62             3844             7688             15376            30752          61504          123008         246016          492032          984064          1968128         3936256          7872512          15745024         31490048         62980096         125960192        251920384        503840768        1007681536       2015363072
63             3969             7938             15876            31752          63504          127008         254016          508032          1016064         2032128         4064256          8128512          16257024         32514048         65028096         130056192        260112384        520224768        1040449536       2080899072
64             4096             8192             16384            32768          65536          131072         262144          524288          1048576         2097152         4194304          8388608          16777216         33554432         67108864         134217728        268435456        536870912        1073741824       2147483648
65             4225             8450             16900            33800          67600          135200         270400          540800          1081600         2163200         4326400          8652800          17305600         34611200         69222400         138444800        276889600        553779200        1107558400       2215116800
66             4356             8712             17424            34848          69696          139392         278784          557568          1115136         2230272         4460544          8921088          17842176         35684352         71368704         142737408        285474816        570949632        1141899264       2283798528
67             4489             8978             17956            35912          71824          143648         287296          574592          1149184         2298368         4596736          9193472          18386944         36773888         73547776         147095552        294191104        588382208        1176764416       2353528832
68             4624             9248             18496            36992          73984          147968         295936          591872          1183744         2367488         4734976          9469952          18939904         37879808         75759616         151519232        303038464        606076928        1212153856       2424307712
69             4761             9522             19044            38088          76176          152352         304704          609408          1218816         2437632         4875264          9750528          19501056         39002112         78004224         156008448        312016896        624033792        1248067584       2496135168
70             4900             9800             19600            39200          78400          156800         313600          627200          1254400         2508800         5017600          10035200         20070400         40140800         80281600         160563200        321126400        642252800        1284505600       2569011200
71             5041             10082            20164            40328          80656          161312         322624          645248          1290496         2580992         5161984          10323968         20647936         41295872         82591744         165183488        330366976        660733952        1321467904       2642935808
72             5184             10368            20736            41472          82944          165888         331776          663552          1327104         2654208         5308416          10616832         21233664         42467328         84934656         169869312        339738624        679477248        1358954496       2717908992
73             5329             10658            21316            42632          85264          170528         341056          682112          1364224         2728448         5456896          10913792         21827584         43655168         87310336         174620672        349241344        698482688        1396965376       2793930752
74             5476             10952            21904            43808          87616          175232         350464          700928          1401856         2803712         5607424          11214848         22429696         44859392         89718784         179437568        358875136        717750272        1435500544       2871001088
75             5625             11250            22500            45000          90000          180000         360000          720000          1440000         2880000         5760000          11520000         23040000         46080000         92160000         184320000        368640000        737280000        1474560000       2949120000
76             5776             11552            23104            46208          92416          184832         369664          739328          1478656         2957312         5914624          11829248         23658496         47316992         94633984         189267968        378535936        757071872        1514143744       3028287488
77             5929             11858            23716            47432          94864          189728         379456          758912          1517824         3035648         6071296          12142592         24285184         48570368         97140736         194281472        388562944        777125888        1554251776       3108503552
78             6084             12168            24336            48672          97344          194688         389376          778752          1557504         3115008         6230016          12460032         24920064         49840128         99680256         199360512        398721024        797442048        1594884096       3189768192
79             6241             12482            24964            49928          99856          199712         399424          798848          1597696         3195392         6390784          12781568         25563136         51126272         102252544        204505088        409010176        818020352        1636040704       3272081408
80             6400             12800            25600            51200          102400         204800         409600          819200          1638400         3276800         6553600          13107200         26214400         52428800         104857600        209715200        419430400        838860800        1677721600       3355443200
81             6561             13122            26244            52488          104976         209952         419904          839808          1679616         3359232         6718464          13436928         26873856         53747712         107495424        214990848        429981696        859963392        1719926784       3439853568
82             6724             13448            26896            53792          107584         215168         430336          860672          1721344         3442688         6885376          13770752         27541504         55083008         110166016        220332032        440664064        881328128        1762656256       3525312512
83             6889             13778            27556            55112          110224         220448         440896          881792          1763584         3527168         7054336          14108672         28217344         56434688         112869376        225738752        451477504        902955008        1805910016       3611820032
84             7056             14112            28224            56448          112896         225792         451584          903168          1806336         3612672         7225344          14450688         28901376         57802752         115605504        231211008        462422016        924844032        1849688064       3699376128
85             7225             14450            28900            57800          115600         231200         462400          924800          1849600         3699200         7398400          14796800         29593600         59187200         118374400        236748800        473497600        946995200        1893990400       3787980800
86             7396             14792            29584            59168          118336         236672         473344          946688          1893376         3786752         7573504          15147008         30294016         60588032         121176064        242352128        484704256        969408512        1938817024       3877634048
87             7569             15138            30276            60552          121104         242208         484416          968832          1937664         3875328         7750656          15501312         31002624         62005248         124010496        248020992        496041984        992083968        1984167936       3968335872
88             7744             15488            30976            61952          123904         247808         495616          991232          1982464         3964928         7929856          15859712         31719424         63438848         126877696        253755392        507510784        1015021568       2030043136       4060086272
89             7921             15842            31684            63368          126736         253472         506944          1013888         2027776         4055552         8111104          16222208         32444416         64888832         129777664        259555328        519110656        1038221312       2076442624       4152885248
90             8100             16200            32400            64800          129600         259200         518400          1036800         2073600         4147200         8294400          16588800         33177600         66355200         132710400        265420800        530841600        1061683200       2123366400       4246732800
91             8281             16562            33124            66248          132496         264992         529984          1059968         2119936         4239872         8479744          16959488         33918976         67837952         135675904        271351808        542703616        1085407232       2170814464       4341628928
92             8464             16928            33856            67712          135424         270848         541696          1083392         2166784         4333568         8667136          17334272         34668544         69337088         138674176        277348352        554696704        1109393408       2218786816       4437573632
93             8649             17298            34596            69192          138384         276768         553536          1107072         2214144         4428288         8856576          17713152         35426304         70852608         141705216        283410432        566820864        1133641728       2267283456       4534566912
94             8836             17672            35344            70688          141376         282752         565504          1131008         2262016         4524032         9048064          18096128         36192256         72384512         144769024        289538048        579076096        1158152192       2316304384       4632608768
95             9025             18050            36100            72200          144400         288800         577600          1155200         2310400         4620800         9241600          18483200         36966400         73932800         147865600        295731200        591462400        1182924800       2365849600       4731699200
96             9216             18432            36864            73728          147456         294912         589824          1179648         2359296         4718592         9437184          18874368         37748736         75497472         150994944        301989888        603979776        1207959552       2415919104       4831838208
97             9409             18818            37636            75272          150544         301088         602176          1204352         2408704         4817408         9634816          19269632         38539264         77078528         154157056        308314112        616628224        1233256448       2466512896       4933025792
98             9604             19208            38416            76832          153664         307328         614656          1229312         2458624         4917248         9834496          19668992         39337984         78675968         157351936        314703872        629407744        1258815488       2517630976       5035261952
99             9801             19602            39204            78408          156816         313632         627264          1254528         2509056         5018112         10036224         20072448         40144896         80289792         160579584        321159168        642318336        1284636672       2569273344       5138546688
100            10000            20000            40000            80000          160000         320000         640000          1280000         2560000         5120000         10240000         20480000         40960000         81920000         163840000        327680000        655360000        1310720000       2621440000       5242880000
101            10201            20402            40804            81608          163216         326432         652864          1305728         2611456         5222912         10445824         20891648         41783296         83566592         167133184        334266368        668532736        1337065472       2674130944       5348261888
102            10404            20808            41616            83232          166464         332928         665856          1331712         2663424         5326848         10653696         21307392         42614784         85229568         170459136        340918272        681836544        1363673088       2727346176       5454692352
103            10609            21218            42436            84872          169744         339488         678976          1357952         2715904         5431808         10863616         21727232         43454464         86908928         173817856        347635712        695271424        1390542848       2781085696       5562171392
104            10816            21632            43264            86528          173056         346112         692224          1384448         2768896         5537792         11075584         22151168         44302336         88604672         177209344        354418688        708837376        1417674752       2835349504       5670699008
105            11025            22050            44100            88200          176400         352800         705600          1411200         2822400         5644800         11289600         22579200         45158400         90316800         180633600        361267200        722534400        1445068800       2890137600       5780275200
106            11236            22472            44944            89888          179776         359552         719104          1438208         2876416         5752832         11505664         23011328         46022656         92045312         184090624        368181248        736362496        1472724992       2945449984       5890899968
107            11449            22898            45796            91592          183184         366368         732736          1465472         2930944         5861888         11723776         23447552         46895104         93790208         187580416        375160832        750321664        1500643328       3001286656       6002573312
108            11664            23328            46656            93312          186624         373248         746496          1492992         2985984         5971968         11943936         23887872         47775744         95551488         191102976        382205952        764411904        1528823808       3057647616       6115295232
109            11881            23762            47524            95048          190096         380192         760384          1520768         3041536         6083072         12166144         24332288         48664576         97329152         194658304        389316608        778633216        1557266432       3114532864       6229065728
110            12100            24200            48400            96800          193600         387200         774400          1548800         3097600         6195200         12390400         24780800         49561600         99123200         198246400        396492800        792985600        1585971200       3171942400       6343884800
111            12321            24642            49284            98568          197136         394272         788544          1577088         3154176         6308352         12616704         25233408         50466816         100933632        201867264        403734528        807469056        1614938112       3229876224       6459752448
112            12544            25088            50176            100352         200704         401408         802816          1605632         3211264         6422528         12845056         25690112         51380224         102760448        205520896        411041792        822083584        1644167168       3288334336       6576668672
113            12769            25538            51076            102152         204304         408608         817216          1634432         3268864         6537728         13075456         26150912         52301824         104603648        209207296        418414592        836829184        1673658368       3347316736       6694633472
114            12996            25992            51984            103968         207936         415872         831744          1663488         3326976         6653952         13307904         26615808         53231616         106463232        212926464        425852928        851705856        1703411712       3406823424       6813646848
115            13225            26450            52900            105800         211600         423200         846400          1692800         3385600         6771200         13542400         27084800         54169600         108339200        216678400        433356800        866713600        1733427200       3466854400       6933708800
116            13456            26912            53824            107648         215296         430592         861184          1722368         3444736         6889472         13778944         27557888         55115776         110231552        220463104        440926208        881852416        1763704832       3527409664       7054819328
117            13689            27378            54756            109512         219024         438048         876096          1752192         3504384         7008768         14017536         28035072         56070144         112140288        224280576        448561152        897122304        1794244608       3588489216       7176978432
118            13924            27848            55696            111392         222784         445568         891136          1782272         3564544         7129088         14258176         28516352         57032704         114065408        228130816        456261632        912523264        1825046528       3650093056       7300186112
119            14161            28322            56644            113288         226576         453152         906304          1812608         3625216         7250432         14500864         29001728         58003456         116006912        232013824        464027648        928055296        1856110592       3712221184       7424442368
120            14400            28800            57600            115200         230400         460800         921600          1843200         3686400         7372800         14745600         29491200         58982400         117964800        235929600        471859200        943718400        1887436800       3774873600       7549747200
121            14641            29282            58564            117128         234256         468512         937024          1874048         3748096         7496192         14992384         29984768         59969536         119939072        239878144        479756288        959512576        1919025152       3838050304       7676100608
122            14884            29768            59536            119072         238144         476288         952576          1905152         3810304         7620608         15241216         30482432         60964864         121929728        243859456        487718912        975437824        1950875648       3901751296       7803502592
123            15129            30258            60516            121032         242064         484128         968256          1936512         3873024         7746048         15492096         30984192         61968384         123936768        247873536        495747072        991494144        1982988288       3965976576       7931953152
124            15376            30752            61504            123008         246016         492032         984064          1968128         3936256         7872512         15745024         31490048         62980096         125960192        251920384        503840768        1007681536       2015363072       4030726144       8061452288
125            15625            31250            62500            125000         250000         500000         1000000         2000000         4000000         8000000         16000000         32000000         64000000         128000000        256000000        512000000        1024000000       2048000000       4096000000       8192000000
126            15876            31752            63504            127008         254016         508032         1016064         2032128         4064256         8128512         16257024         32514048         65028096         130056192        260112384        520224768        1040449536       2080899072       4161798144       8323596288
127            16129            32258            64516            129032         258064         516128         1032256         2064512         4129024         8258048         16516096         33032192         66064384         132128768        264257536        528515072        1057030144       2114060288       4228120576       8456241152
128            16384            32768            65536            131072         262144         524288         1048576         2097152         4194304         8388608         16777216         33554432         67108864         134217728        268435456        536870912        1073741824       2147483648       4294967296       8589934592
129            16641            33282            66564            133128         266256         532512         1065024         2130048         4260096         8520192         17040384         34080768         68161536         136323072        272646144        545292288        1090584576       2181169152       4362338304       8724676608
130            16900            33800            67600            135200         270400         540800         1081600         2163200         4326400         8652800         17305600         34611200         69222400         138444800        276889600        553779200        1107558400       2215116800       4430233600       8860467200
131            17161            34322            68644            137288         274576         549152         1098304         2196608         4393216         8786432         17572864         35145728         70291456         140582912        281165824        562331648        1124663296       2249326592       4498653184       8997306368
132            17424            34848            69696            139392         278784         557568         1115136         2230272         4460544         8921088         17842176         35684352         71368704         142737408        285474816        570949632        1141899264       2283798528       4567597056       9135194112
133            17689            35378            70756            141512         283024         566048         1132096         2264192         4528384         9056768         18113536         36227072         72454144         144908288        289816576        579633152        1159266304       2318532608       4637065216       9274130432
134            17956            35912            71824            143648         287296         574592         1149184         2298368         4596736         9193472         18386944         36773888         73547776         147095552        294191104        588382208        1176764416       2353528832       4707057664       9414115328
135            18225            36450            72900            145800         291600         583200         1166400         2332800         4665600         9331200         18662400         37324800         74649600         149299200        298598400        597196800        1194393600       2388787200       4777574400       9555148800
136            18496            36992            73984            147968         295936         591872         1183744         2367488         4734976         9469952         18939904         37879808         75759616         151519232        303038464        606076928        1212153856       2424307712       4848615424       9697230848
137            18769            37538            75076            150152         300304         600608         1201216         2402432         4804864         9609728         19219456         38438912         76877824         153755648        307511296        615022592        1230045184       2460090368       4920180736       9840361472
138            19044            38088            76176            152352         304704         609408         1218816         2437632         4875264         9750528         19501056         39002112         78004224         156008448        312016896        624033792        1248067584       2496135168       4992270336       9984540672
139            19321            38642            77284            154568         309136         618272         1236544         2473088         4946176         9892352         19784704         39569408         79138816         158277632        316555264        633110528        1266221056       2532442112       5064884224       10129768448
140            19600            39200            78400            156800         313600         627200         1254400         2508800         5017600         10035200        20070400         40140800         80281600         160563200        321126400        642252800        1284505600       2569011200       5138022400       10276044800
141            19881            39762            79524            159048         318096         636192         1272384         2544768         5089536         10179072        20358144         40716288         81432576         162865152        325730304        651460608        1302921216       2605842432       5211684864       10423369728
142            20164            40328            80656            161312         322624         645248         1290496         2580992         5161984         10323968        20647936         41295872         82591744         165183488        330366976        660733952        1321467904       2642935808       5285871616       10571743232
143            20449            40898            81796            163592         327184         654368         1308736         2617472         5234944         10469888        20939776         41879552         83759104         167518208        335036416        670072832        1340145664       2680291328       5360582656       10721165312
144            20736            41472            82944            165888         331776         663552         1327104         2654208         5308416         10616832        21233664         42467328         84934656         169869312        339738624        679477248        1358954496       2717908992       5435817984       10871635968
145            21025            42050            84100            168200         336400         672800         1345600         2691200         5382400         10764800        21529600         43059200         86118400         172236800        344473600        688947200        1377894400       2755788800       5511577600       11023155200
146            21316            42632            85264            170528         341056         682112         1364224         2728448         5456896         10913792        21827584         43655168         87310336         174620672        349241344        698482688        1396965376       2793930752       5587861504       11175723008
147            21609            43218            86436            172872         345744         691488         1382976         2765952         5531904         11063808        22127616         44255232         88510464         177020928        354041856        708083712        1416167424       2832334848       5664669696       11329339392
148            21904            43808            87616            175232         350464         700928         1401856         2803712         5607424         11214848        22429696         44859392         89718784         179437568        358875136        717750272        1435500544       2871001088       5742002176       11484004352
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166            27556            55112            110224           220448         440896         881792         1763584         3527168         7054336         14108672        28217344         56434688         112869376        225738752        451477504        902955008        1805910016       3611820032       7223640064       14447280128
167            27889            55778            111556           223112         446224         892448         1784896         3569792         7139584         14279168        28558336         57116672         114233344        228466688        456933376        913866752        1827733504       3655467008       7310934016       14621868032
168            28224            56448            112896           225792         451584         903168         1806336         3612672         7225344         14450688        28901376         57802752         115605504        231211008        462422016        924844032        1849688064       3699376128       7398752256       14797504512
169            28561            57122            114244           228488         456976         913952         1827904         3655808         7311616         14623232        29246464         58492928         116985856        233971712        467943424        935886848        1871773696       3743547392       7487094784       14974189568
170            28900            57800            115600           231200         462400         924800         1849600         3699200         7398400         14796800        29593600         59187200         118374400        236748800        473497600        946995200        1893990400       3787980800       7575961600       15151923200
171            29241            58482            116964           233928         467856         935712         1871424         3742848         7485696         14971392        29942784         59885568         119771136        239542272        479084544        958169088        1916338176       3832676352       7665352704       15330705408
172            29584            59168            118336           236672         473344         946688         1893376         3786752         7573504         15147008        30294016         60588032         121176064        242352128        484704256        969408512        1938817024       3877634048       7755268096       15510536192
173            29929            59858            119716           239432         478864         957728         1915456         3830912         7661824         15323648        30647296         61294592         122589184        245178368        490356736        980713472        1961426944       3922853888       7845707776       15691415552
174            30276            60552            121104           242208         484416         968832         1937664         3875328         7750656         15501312        31002624         62005248         124010496        248020992        496041984        992083968        1984167936       3968335872       7936671744       15873343488
175            30625            61250            122500           245000         490000         980000         1960000         3920000         7840000         15680000        31360000         62720000         125440000        250880000        501760000        1003520000       2007040000       4014080000       8028160000       16056320000
176            30976            61952            123904           247808         495616         991232         1982464         3964928         7929856         15859712        31719424         63438848         126877696        253755392        507510784        1015021568       2030043136       4060086272       8120172544       16240345088
177            31329            62658            125316           250632         501264         1002528        2005056         4010112         8020224         16040448        32080896         64161792         128323584        256647168        513294336        1026588672       2053177344       4106354688       8212709376       16425418752
178            31684            63368            126736           253472         506944         1013888        2027776         4055552         8111104         16222208        32444416         64888832         129777664        259555328        519110656        1038221312       2076442624       4152885248       8305770496       16611540992
179            32041            64082            128164           256328         512656         1025312        2050624         4101248         8202496         16404992        32809984         65619968         131239936        262479872        524959744        1049919488       2099838976       4199677952       8399355904       16798711808
180            32400            64800            129600           259200         518400         1036800        2073600         4147200         8294400         16588800        33177600         66355200         132710400        265420800        530841600        1061683200       2123366400       4246732800       8493465600       16986931200
181            32761            65522            131044           262088         524176         1048352        2096704         4193408         8386816         16773632        33547264         67094528         134189056        268378112        536756224        1073512448       2147024896       4294049792       8588099584       17176199168
182            33124            66248            132496           264992         529984         1059968        2119936         4239872         8479744         16959488        33918976         67837952         135675904        271351808        542703616        1085407232       2170814464       4341628928       8683257856       17366515712
183            33489            66978            133956           267912         535824         1071648        2143296         4286592         8573184         17146368        34292736         68585472         137170944        274341888        548683776        1097367552       2194735104       4389470208       8778940416       17557880832
184            33856            67712            135424           270848         541696         1083392        2166784         4333568         8667136         17334272        34668544         69337088         138674176        277348352        554696704        1109393408       2218786816       4437573632       8875147264       17750294528
185            34225            68450            136900           273800         547600         1095200        2190400         4380800         8761600         17523200        35046400         70092800         140185600        280371200        560742400        1121484800       2242969600       4485939200       8971878400       17943756800
186            34596            69192            138384           276768         553536         1107072        2214144         4428288         8856576         17713152        35426304         70852608         141705216        283410432        566820864        1133641728       2267283456       4534566912       9069133824       18138267648
187            34969            69938            139876           279752         559504         1119008        2238016         4476032         8952064         17904128        35808256         71616512         143233024        286466048        572932096        1145864192       2291728384       4583456768       9166913536       18333827072
188            35344            70688            141376           282752         565504         1131008        2262016         4524032         9048064         18096128        36192256         72384512         144769024        289538048        579076096        1158152192       2316304384       4632608768       9265217536       18530435072
189            35721            71442            142884           285768         571536         1143072        2286144         4572288         9144576         18289152        36578304         73156608         146313216        292626432        585252864        1170505728       2341011456       4682022912       9364045824       18728091648
190            36100            72200            144400           288800         577600         1155200        2310400         4620800         9241600         18483200        36966400         73932800         147865600        295731200        591462400        1182924800       2365849600       4731699200       9463398400       18926796800
191            36481            72962            145924           291848         583696         1167392        2334784         4669568         9339136         18678272        37356544         74713088         149426176        298852352        597704704        1195409408       2390818816       4781637632       9563275264       19126550528
192            36864            73728            147456           294912         589824         1179648        2359296         4718592         9437184         18874368        37748736         75497472         150994944        301989888        603979776        1207959552       2415919104       4831838208       9663676416       19327352832
193            37249            74498            148996           297992         595984         1191968        2383936         4767872         9535744         19071488        38142976         76285952         152571904        305143808        610287616        1220575232       2441150464       4882300928       9764601856       19529203712
194            37636            75272            150544           301088         602176         1204352        2408704         4817408         9634816         19269632        38539264         77078528         154157056        308314112        616628224        1233256448       2466512896       4933025792       9866051584       19732103168
195            38025            76050            152100           304200         608400         1216800        2433600         4867200         9734400         19468800        38937600         77875200         155750400        311500800        623001600        1246003200       2492006400       4984012800       9968025600       19936051200
196            38416            76832            153664           307328         614656         1229312        2458624         4917248         9834496         19668992        39337984         78675968         157351936        314703872        629407744        1258815488       2517630976       5035261952       10070523904      20141047808
197            38809            77618            155236           310472         620944         1241888        2483776         4967552         9935104         19870208        39740416         79480832         158961664        317923328        635846656        1271693312       2543386624       5086773248       10173546496      20347092992
198            39204            78408            156816           313632         627264         1254528        2509056         5018112         10036224        20072448        40144896         80289792         160579584        321159168        642318336        1284636672       2569273344       5138546688       10277093376      20554186752
199            39601            79202            158404           316808         633616         1267232        2534464         5068928         10137856        20275712        40551424         81102848         162205696        324411392        648822784        1297645568       2595291136       5190582272       10381164544      20762329088

 

[Admin]

Eliminating/reducing the break advantage (colorball)
Lets say you have 7 blue balls and 5 green balls, in that case (if only one ball is potted at once) the potting order will be (blue, blue, green, blue, green, blue, green, blue, green, blue, green, blue) so you would initialy play for blue twice.

Let's say the blue you are attempting is difficult, in that case putting effort into getting into position to the next blue might not actually be beneficial since if you miss you end up giving your opponent a good opening to start potting, is that a bad thing?

But there is another option, let's simply have a rule stating that you will not keep playing if the color you are supposed to pot remains the same, in that case you will have to make a double (potting 2 blue balls) to keep playing and otherwise your opponent will take over. In that scenario the easiest way to get into potting will be to pot a ball and lay a snooker at the same time, then you will get right back into it if your opponent fails to hit the object ball and have the resulting position be safe.

 

[Admin]

How many chances should you have to hit the object ball?
Best policy might be to allow 3 chances if there are only one ball of the object color but otherwise you will only have one chance. You can put your opponent back twice to the same position.

That means you can get up to 3 points from a single snooker when there are only one ball left of each remaining color.

 

[Admin]

First break determination
Both players will play the cue-ball across the table and back again to get as close as the cushion as possible. Your opponent will decide who does the first break if you hit the side cushion or get the cue-ball to your opponents side of the table or fail to reach the cushion you are supposed to bounce from, if both fail to make a proper shot the player whose cue-ball who travelled the longest legally will decide who does the first break.

Something similar is already being used for pool and "snooker shootout".

 

[Admin]

What a colorball match can look like
Here you only have one chance to hit a yellow and pot the ball or get the cueball safe.

 

[Admin]

Replacing the miss rule & freeball
You have the following 3 options if your opponent misses the object ball

0. Move the cueball to an arbitrary position.
1. Replace the position of 2 balls.
2. Have your opponent play again from the new position.