Talk:Tic-tac-toe - Knowledge

3086:

2862 non symmetrical equivalents states. But many of them are not possible boards, according to the rules of the game. In the early 1960s Donald Michie proved that his M.e.n.a.c.e.,a Machine Educable Noughts And Crosses Engine, coud learn play tic tac toe with only 304 MatchBoxes so we need some euristic to reduce useful states. Since the X start first, we will have always a number of O in ours boards equals to the numbers of X or to X-1 (when is time to play for O), different numbers of symbols reefers to ILLEGALS boards. We also check for boards with 2 tris because of course the match will stop early, or we are at the end of the game if the X realize 2 tris.

1048:, nine Tic-tac-toe boards are themselves arranged in a 3×3 grid. The first player's move may go on any board; all moves afterwards are placed in the empty spaces on the board corresponding to the square of the previous move (that is, if a move were in the upper-left square of a board, the next move would take place on the upper-left board). If a player cannot move because the indicated board is full, the next move may go on any board. Victory is attained by getting 3 in a row on any board. This makes the game considerably longer and more involved than Tic-tac-toe, with a definite opening, middle game and endgame. 3725: 885:

you can knock down as "not a good argument" by simply referencing WP:OTHERSTUFFEXISTS. (Have you read that essay? It supports consistency over all WP articles. It cautions against invalid comparisons being used as argument, and in this case, comparing to chess articles containing best move recommendations, isn't invalid. The chess articles and the nature of their contents has been around a long time; the WP:OTHERSTUFFEXISTS essay respects precedent in addition to consistency. Have you read that essay in detail? I have.)

276: 532: 340: 219: 2974: 445: 424: 330: 309: 3681: 3605: 267: 3759:

always show dementia (cognitively intact adults playing Knots-And-Crosses always end in draws, without exceptions). The staff accompany this test with asking the patient to draw an analogue clock showing a specific time. If the resident fails either informal test, the formal test is just a formality because the staff know that the formal test will show dementia.

2455: 3650: 3431:

In case it deserves mention in the article, and assuming I didn't overlook it there, probably the simplest strategy for X is to start in the center (5 with the numbering in the article) and then answer each of O's moves "almost-opposite". So if O starts in 1, X replies with 6, if in 2 then 9, and so

3804:

There are 9 possible squares on the first move. 8 on the second move, 7 on the third, and so on. That means there are 9! (362,880) games of tic-tac-toe. but are there really? Some games are over before every square is filled in. So, if you stop playing after someone win, you get rid of 107,712 games

3168:

In a computer simultaion of the MENACE the final states (winnings & draws) doesn’t need any board-allocation because only the previous state should contain the beads to lead the move, we have to allocate boxes only for the 627 Middle game states and because X will choose only when it’s up to him

1170:

with ″center" referring to the middle piece. In addition to the standard win condition, an optional lose condition may be implemented for a player that "re-touches" an already occupied square. Due to both players trying to keep all the board positions in memory, it may be useful for a third person

1151:

There is a variation on Tic-tac-toe that is popular in Vietnam, in which the player has to get 5 in a row to win the game. Each player takes turns to mark "x" or "o" on the board. The strategy is to not only block the opponent, but create chances for yourself to form 5 in a row in any direction. The

932:

I also feel the removal of content here was heavy-handed. (I noticed some time ago too, as you mention, the refs to video games in those policies ... I'd always assumed this was an oversight or omission, but, thinking about it now ... that would mean quite big oversights/omissions! Those policies s/

3435:

I believe this strategy was used in the 1950s for a toy computer playing the game. As a freshman at Sydney University in 1962 I designed and built a machine out of some multipole relays and two telephone exchange stepping switches that implemented this strategy. This was the first computer of any

903:

You are taking these rules too far. Tic Tac Toe, like Chess and many other classic games, is of academic interest, particularly in the artificial intelligence field. I have been writing a Tic Tac Toe AI for one my classes, and the strategy section was very helpful. This is not the sort of knowledge

952:

The first diagram includes errors, and is erroneously labeled as "Optimal strategy for player X if starting in middle." instead of starting in the corner. As an example of its errors, look at the left side entry, which erroneously shows X on the top as the "optimal" move. The optimal second move

884:

User:Forgot, I agree the way the material was written makes it seem inconsistent with WP:NOTAGAMEGUIDE; however, I'm not sure it really is (game guide), and, subtle editing could change that aspect easily enough. The fact that "best move" recommendations fill up chess articles, is not a comparison

3085:

Because those symmetries plus the identity acting on the positions of the TIC-TAC-TOE are a permutation Group we can use the Polya method to enumerate the equivalent states, by the Orbit formula we have than that the number of orbits (the different 3-coloring pattern of our Tic-Tac-Toe board) is

1165:

Memory tic-tac-toe is played with the same rules as standard Tic-tac-toe. However, instead of marking moves on a piece of paper, the games is played verbally, with each player calling out which locations they take. The most used naming convention is referring to the locations as points as their

3758:

In nursing homes, if staff suspect dementia, a quick informal test is to play a game of Tic-Tac-Toe with the patient going 1st. If it ends in a draw, the staff figure that the resident is reasonable cognitively intact. If the resident looses, the staff arrange for proper cognitive tests, which

1117:

Star Tic Tac Toe is Tic-tac-toe game where it is played with checkers like movable pieces on 3×3 board. Each player gets 3 pieces.The players move the pieces into empty cells until someone wins. This adds dynamism. In addition each player gets a special piece marked with a star. The stars can be

3403:

This is based on a reference to Gardner (16) but his work does not exactly show why this is so, and either way, I have published an article which tends to disagree. Furthermore, Gardners work refers to "rational" players, which I understand to be the opposite of "not a perfect player", and I am

1070:

and Tic-tac-toe simultaneously. When a player captures an opponent's piece, the player can make a play on the Tic-tac-toe board regardless if the other player has not yet made a play. The first person to get 3 Xs or Os in a row wins the game. This makes for a much more defensive game of

3400:"Player X can win or force a draw from any of these starting marks; however, playing the corner gives the opponent the smallest choice of squares which must be played to avoid losing. This makes the corner the best opening move for X, when the opponent is not a perfect player." 2290: 1040:

A more complex variant can be played on boards utilising higher dimensional space, most commonly 4 dimensions in a 3×3×3×3 board. In such games the aim is to fill up the board and get more rows of three in total than the other player or to play with 4 people and get 1 row of

1703: 3455:

Should this article be renamed to Xs & Os and or merged with 3 men merellus since it is only slightly different, XO just places stuff in a box while 3 men merellus allows moving about. Xs & Os (or Exes & Ohs) can just simply be a section of 3 Men Morris.

787:

Of the six moves available to O, 3 are bad and 3 are good. A second move for O to a side center is in the bad group. It looks to me that the best move for O here is lower right, though lower left and upper right also force the draw. My program lost ;-(

2956:

The section "Combinatorics" had a number of issues - sources, spelling, formatting, at least - and I think the lay reader is better served by having the section removed from the article until it is in a more polished state. PLEASE do not move

3432:

on. This strategy gradually rotates the play counterclockwise, thereby forcing O's every subsequent move; if O doesn't move where forced the game immediately ends with a win for X, otherwise after all 9 moves it ends with a draw.

1124:, Mojo Too and Mojo 2 is a Tic-tac-toe game played on a 3×3 board with original and unique movable pieces and pawns – the latter is played for points. The players move the pieces and pawn(s) onto empty positions until someone wins. 280: 1058:

except that the game does not end when a player wins a game on one of the small boards. Instead, the position of the small board where that player won is marked on a 3×3 grid, and a player wins when they form 3-in-a-row on that

2989:

Despite its apparent simplicity, Tic-tac-toe requires detailed analysis to determine even some elementary combinatory facts, the most interesting of which are the number of possible games and the number of possible positions. A

1091:

pattern of twelve straight lines each containing three of the holes. Each player had exactly five tokens and played in turn placing one token in any of the holes. The winner was the first player whose tokens were arranged in

597:

Moreover, it seems odd that the "X moves first" rule seems to have caught on and yet we call the game "noughts and crosses" not "crosses and noughts" - I don't suppose anyone here can find anything on how that happened? --

748:

if o takes the opposite corner (3,3) then x can take 3,1, forcing o to block in 3,2. x then takes 1,3 forcing a fork (as they can win on 2,2 or 1,2). This can also be played the opposite way round (x taking 1,3 first)

953:

after O on the side should actually be X in the top right corner, forcing one block with O in top center and followed by forking X in bottom right corner. This entire diagram should be removed, due to these problems.

904:

that is only of interest to a select number of enthuiasts, and it is not the sort of thing you can look up on a publisher's website (because tictactoe does not have a publisher). I am going to revert your change.

153: 2450:{\displaystyle {\frac {3}{7}}+{\frac {1}{7}}\cdot {\frac {1}{5}}+{\frac {1}{7}}\cdot {1}{5}+{\frac {1}{7}}\cdot {\frac {1}{5}}={\frac {15}{35}}+{\frac {1}{35}}+{\frac {1}{35}}+{\frac {1}{35}}={\frac {18}{35}}} 3169:

to move we will need 338 Box for the player X and 289 for the player O. Analyzing the following table we can improve little further because we can easily found some illegal states and some unnecessary ones.

976:, there has been a figure labeled "Initiative in start game" that is unreferenced within the body of the article and has essentially no information on the image page itself. What exactly is it showing? 1100:

lines). If neither player had won by the tenth turn, subsequent turns consisted of moving one of one's own tokens to the remaining empty hole, with the constraint that this move could only be from an

1603: 509: 1074:

Two players fill out a 3×3 grid with numbers one through nine in order of priority. They then compare their grids and play Tic-tac-toe by filling in the squares by the priority they listed before.

1240: 807:

I have removed the strategy section of this article because that was only a guide of how to prevent forks, how to block forks, and how to respond to moves; such guides are not permitted as per

3554: 3852: 669:

Quoting the article "Player O must always respond to a corner opening with a center mark". This clearly false, for if Player X responds in the opposite corner he wins. Here is the position.

3404:

unsure why it says "not a perfect player" rather than "is a perfect player", or indeed why that phrase at the end of the paragraph is necessary or what it adds. Why is this even so?

3867: 3575:"Players soon discover that the best play from both parties leads to a draw. Hence, tic-tac-toe is often played by young children who may not have discovered the optimal strategy." 3016:

The complete analysis is further complicated by the definitions used when setting the conditions, like board symmetries. Consider a board with the nine positions named as follows:

406: 396: 3827: 2847: 1201: 2928: 2901: 2874: 2817: 2787: 2647: 2620: 2593: 2566: 2539: 2512: 2485: 1787: 1760: 1733: 3872: 781:

I wrote my program based on the article. The guy who played it hadn't read the article ☺ and played a side-center followed by the adjacent side center. It looked like this

3842: 1222:

Is it possible to call Move each player's turn? Because it's not like chess, we don't really move anything, we only write signs (glyph) on board or put some figure on it…

1148:

Another variation on Tic-tac-toe is played on a larger grid (say 10×10) where the object is to get 5 in a row. The increased amount of space creates a greater complexity.

1145:

Some children play where getting a Y formation also counts as a win. This effectively guarantees a win, since all of the game scenarios feature some form of Y formation.

1424:

When X plays edge (like 2) first, the best first move of O is taking a corner, not the center. (since if O take a corner as first move, O has a higher property to win)

3857: 372: 147: 3436:

kind that I ever had anything to do with, obviously not a stored-program computer of course. My first encounter with a stored program computer was two years later.

621:

Well, that depends on the language, for example in Russian the game is called "crosses-noughts" (without "and"), but I in childhood was taught there is no rule. -

583:

But the external links are slanted towards X having first move, albeit varying in whether they claim it's a basic rule, what usually happens in practice or just a

3862: 1331: 1327: 1313: 3882: 499: 1291: 980:

While typing this out, I think I figured it out. It is the number of directions you can win from any square. This should probably be added to the caption.

368: 354: 314: 3811:

O3. There are only 3 opening moves: 1. The center 2. The edge 3. The corner. If you choose 2 or 3, the symmetry of the board means that it doesn't matter

79: 742:

the move for o (centre then side) above is the only valid means of preventing a loss as x can force a win if o goes in any corner: x goes in space 1,1:

580:

It seems that the world is split in terms of whether O plays first, X plays first or there's no standard. As a child, I was taught that O plays first.

830:

Think about it ... a slippery slope ... Many many chess articles involve "how to" advices. (Will you remove *all* chess "best move" recommendations!?)

3837: 3519: 752:

if o takes a different corner (3,1) then x can take 3,3 forcing o to play 2,2. x can then play 1,3 creating a fork (as they can win on 1,2 or 2,1).

999:

A graphic similar to the on appearing the xkcd site originally appeared in Ian Stewart's "Mathematical Recreations" section of Scientific American

3847: 2965:

parts of it were fairly OK; I'm not sure. Anyway, here is what I removed. Feel free to edit it here on the talk page, or discuss changes below.

1158:

The game can also be varied by limiting the number of pieces and then allowing movement. The three-a-side then becomes Three Men's Morris (see

1202:

https://books.google.com/books?id=RvAKAAAAIAAJ&dq=noughts%20and%20crosses&pg=PA341#v=onepage&q=noughts%20and%20crosses&f=false

3877: 85: 870:

I'm familiar w/ those policies. And I wasn't making an argument , I was inquiring if you'd thought this through. (And, you answered. Good.)

3766: 3515: 981: 954: 762: 1023: 622: 44: 3496: 2937: 1244: 691: 3558: 2985:

for tic-tac-toe. Once rotations and reflections are eliminated, there are only three opening moves – a corner, a side or the middle.

1139: 475: 471: 467: 463: 452: 429: 1231: 1698:{\displaystyle {\frac {2}{7}}\cdot {\frac {1}{5}}+{\frac {1}{7}}={\frac {2}{35}}+{\frac {5}{35}}={\frac {7}{35}}={\frac {1}{5}}} 3832: 3581:

Tic-Tac-Toe is basically a non game, or no better than a shell game. If a game is bound to end in a draw, is it a "game", nah.

3005:) possible games (different sequences for placing the Xs and Os on the board). However, two matters much reduce these numbers: 733: 99: 30: 3001:

Naive counting leads to 19,683 possible positions (3 since each of the nine spaces can be X, O or blank), and 362,880 (i.e., 9

104: 20: 3632:

Remove hyphens after “universally” and “mentally”. These are adverbs and are not hyphenated before the words they modify.

590:

Still, there ought to be something we can find online about the whole debate, but I can't seem to find anything apart from

168: 74: 2903:. (although if O takes 7 as first move, O may be lose, when and only when X takes 1 as second move, the property is only 1292:

https://web.archive.org/20070824200126/http://www.rci.rutgers.edu:80/~cfs/472_html/Intro/TinkertoyComputer/TinkerToy.html

861: 820: 289: 135: 1178: 244: 65: 3372:

We coud eliminate the 34 boards of the level 8 because in that case X have no choose but has only one possible move.

1003:

Which in turn was based on "Fractal Images of Formal Systems," The Journal of Philosophical Logic 26: 181-222, 1997

3736: 3459:

These are good solutions to the differing terms problem with the American term dominance currently on the article.

853: 705:

No, you missed something. Player O moves after figure 1. Player O can move to one of the side spots like this now:

548: 190: 185: 1295: 3481: 3464: 1208: 248: 1330:

to delete these "External links modified" talk page sections if they want to de-clutter talk pages, but see the

560: 199: 3538: 978:

I think it has something to do with the relative strength of certain moves, but that's just a stab in the dark.

958: 938: 890: 875: 835: 3770: 985: 766: 1200:

The article states 1864 as the earliest reference in print for "noughts and crosses". Here's one from 1843:

1019: 626: 129: 3687: 3611: 3578:

All the other stuff is fluff and can never happen since only infants would fail to know how to get a draw.

3500: 3441: 2941: 857: 816: 695: 109: 3637: 1174: 1097: 845: 808: 1735:= "X takes 7 or 9 as second move", when X take 7 (9) as second move, O should take 3 (1) as second move, 852:

again. It clearly mentions that concepts and "walkthroughs" are not permitted. I think your argument is

1369: 1349:

If you have discovered URLs which were erroneously considered dead by the bot, you can report them with

1337: 1015: 295: 125: 933:

probably clarify what they don't apply to.) Anyway, I support the content restoration you've done. Ok,

3417: 3762: 3633: 3477: 3460: 2933: 2825: 1236: 1204: 1011: 849: 812: 758: 687: 266: 3534: 2906: 2879: 2852: 2795: 2765: 2625: 2598: 2571: 2544: 2517: 2490: 2463: 1765: 1738: 1711: 934: 923: 909: 886: 871: 831: 729: 252: 175: 161: 55: 3805:

and end up with 255,168 games. But we can still keep going! A game that starts like this: X5-: -->

2541:= "X takes 7 (3) as third move (when X takes 4 as second move and O takes 6 (8) as second move)", 2514:= "X takes 4 as second move", when X takes 4 as second move, O should take 6 or 8 as second move, 1762:= "X takes 8 as third move (when X takes 7 (9) as second move and O takes 3 (1) as second move)", 651: 637: 3741: 3709: 3661: 3437: 3413: 1440:

If X takes 2 as first move, and O takes the center (5) as first move, the following will happen:

1167: 1159: 566: 367:. If you would like to participate, you can edit the article attached to this page, or visit the 204: 70: 3408: 3012:

If X starts, the number of Xs is always either equal to or exactly 1 more than the number of Os.

1427:

In this article, we assume O is a perfect player (except the first move) (for example, X2 -: -->

1334:

before doing mass systematic removals. This message is updated dynamically through the template

1232:

http://english.stackexchange.com/questions/155621/why-is-a-tie-in-tic-tac-toe-called-a-cats-game

918:

And furthermore, both of the policies that you just cited are intended to apply to VIDEO GAMES.

1350: 3789: 3586: 1273: 1121: 793: 655: 641: 51: 2622:= "X takes 9 as second move", when X takes 9 as second move, O should take 5 as second move, 3732: 3713: 1365: 562: 531: 227: 201: 1357: 218: 3731:

it's not clear what changes you want to be made. Please mention the specific changes in a

2649:= "X takes 8 as third move (when X takes 9 as second move and O takes 5 as second move)") 1281: 3815:

edge or corner you choose. So that rules out 223,272 games and end up with 31,896 games.

3383: 2930:) Thus, the best first move of O (when X plays edge first) is a corner, not the center! 611: 141: 3708:

I need to add something on tic tac toe a variant of the game has been left off the list

339: 1316:, "External links modified" talk page sections are no longer generated or monitored by 919: 905: 723: 603: 2973: 1356:

If you found an error with any archives or the URLs themselves, you can fix them with

3821: 3657: 3530: 364: 3785: 3582: 3529:

Only with in-depth publications in journals or books as references about them. See

789: 606:) 23:47, 13 September 2010 (UTC) (post was lost in previous edit, but re-added by-- 591: 345: 797: 2978: 1323: 1263: 1107: 1088: 745:

if o takes the centre and then a non-forcing move they loose as explained above

676:

Now Player X has two opportunities to create a fork, namely moves a and b below.

457: 24: 1296:

http://www.rci.rutgers.edu/~cfs/472_html/Intro/TinkertoyComputer/TinkerToy.html

456:, an attempt to improve, grow, and standardize Knowledge's articles related to 3474: 3379: 1322:. No special action is required regarding these talk page notices, other than 1000: 607: 360: 335: 329: 308: 3002: 2982: 1111: 599: 444: 423: 1142:

is to get four (or five) pieces in-a-row on a 4×4 or 5×5 checkerboard grid.

243:) and some terms that are used in it may be different or absent from other 1004: 1101: 1278:

after the link to keep me from modifying it. Alternatively, you can add

3081:

Reflection respect 135 deg the one trough (aei) (cg)(db)(hf)(a)(e)(1) 3

1153: 1078: 564: 203: 3078:

Reflection respect 45 deg the one trough (gec) (ai)(bf)(dh)(e)(c)(g) 3

1433:

X3 will not happen, since X can take 5 or 6 to win) but X only take a

1228:

I also want to link this discussion about cat's game / tie situation.

3369:

But already included into the winning set so no boards to eliminate,

3754:

An anecdote about nursing homes which may not belong in the article.

3793: 3774: 3747: 3717: 3665: 3641: 3590: 3562: 3542: 3523: 3504: 3485: 3468: 3445: 3421: 3387: 2945: 1377: 1248: 1212: 1182: 1128: 1007:

It was certainly popularized by xkcd who deserves credit for that.

989: 962: 942: 927: 913: 894: 879: 865: 839: 824: 770: 737: 699: 659: 645: 630: 615: 359:, an attempt to better organize information in articles related to 2972: 1286:

to keep me off the page altogether. I made the following changes:

1225:

What is the specific TTT vocabulary to call this change of state?

1067: 1792:

However, if O takes 1 as first move, the following will happen:

584: 3675: 3599: 3451:

Can’t this article just fit into another one &/ be renamed

1037:

Other variants, which were deleted in January 2015, include:-

567: 525: 260: 213: 205: 15: 3409:

http://blog.maxant.co.uk/pebble/2018/04/07/1523086680000.html

3075:

Reflection respect the horizontal axe (ac)(df)(gi)(b)(e)(h) 3

2595:= "X takes 3 as third move (when X takes 5 as second move)", 1087:, in which the board consisted of eleven holes arranged in a 3375:

We have now the 304 MatchBoxes of the original M.E.N.A.C.E.

1301:

When you have finished reviewing my changes, please set the

1171:

keep track of the game on paper out of view of the players.

1152:

board is unlimited and has no boundary until one wins. See

3072:

Reflection respect the vertical axe (ac)(df)(gi)(b)(e)(h) 3

2998:

usually refers to the way a terminal position is obtained.

371:, where you can join the project and/or contribute to the 1262:

I have just added archive links to one external link on

3407:

As such I shall edit the article. My article is here:

2652:

If O takes 7 as first move, the following will happen:

1267: 973: 160: 2909: 2882: 2855: 2828: 2798: 2768: 2628: 2601: 2574: 2547: 2520: 2493: 2466: 2293: 1768: 1741: 1714: 1606: 3366:No winnings games for player O at level 7 and 9 ** 683:

The correct move for O is to play in another corner.

1326:using the archive tool instructions below. Editors 3363:No winnings games for player X at level 6 and 8 * 2922: 2895: 2868: 2841: 2811: 2781: 2641: 2614: 2587: 2560: 2533: 2506: 2479: 2449: 1781: 1754: 1727: 1697: 1135:is to get six balls in-a-row in a 9×9×9 cube grid. 1077:In the 1970s, there was a two player game made by 3853:Knowledge level-5 vital articles in Everyday life 3066:180 deg Rotation Clockwise (ai)(bh)(ig)(fd)(e) 3 1383:When X plays edge first, the best first move of O 33:for general discussion of the article's subject. 3131:Box for player X 338, Box for Player O 289 3009:The game ends when three-in-a-row is obtained. 1312:This message was posted before February 2018. 3868:High-importance board and table game articles 174: 8: 3828:Knowledge articles that use American English 3596:Semi-protected edit request on 16 April 2023 3510:can i add unofficial versions of tic tac toe 3069:270 deg Rotation Clockwise(acig)(bdhf)(e) 3 1001:http://www.ncbi.nlm.nih.gov/pubmed/10914406 381:Knowledge:WikiProject Board and table games 3873:WikiProject Board and table games articles 3760: 3672:Semi-protected edit request on 9 June 2023 3572:The only useful sentence in this article: 3063:90 deg Rotation Clockwise(acig)(bfhd)(e) 3 2931: 1234: 1193:Earliest reference for noughts and crosses 1110:is a Tic-tac-toe game where players throw 756: 418: 384:Template:WikiProject Board and table games 303: 231:, which has its own spelling conventions ( 3843:Knowledge vital articles in Everyday life 2910: 2908: 2883: 2881: 2856: 2854: 2829: 2827: 2819:= "X takes 3, 4, 6 or 8 as second move") 2799: 2797: 2769: 2767: 2629: 2627: 2602: 2600: 2575: 2573: 2548: 2546: 2521: 2519: 2494: 2492: 2467: 2465: 2437: 2424: 2411: 2398: 2385: 2372: 2359: 2351: 2346: 2333: 2320: 2307: 2294: 2292: 1769: 1767: 1742: 1740: 1715: 1713: 1685: 1672: 1659: 1646: 1633: 1620: 1607: 1605: 3800:How many games of Tic-tac-toe are there? 3171: 3088: 2994:is merely a state of the board, while a 1913:O8 (6), then this game can only be draw. 1386: 3858:B-Class vital articles in Everyday life 3393:Best opening move is misleading / wrong 1005:http://www.pgrim.org/fractal/index.html 420: 305: 264: 3060:Identity (a)(b)(c)(d)(e)(f)(g)(h)(i) 3 2487:= "X takes 3, 6 or 8 as second move", 1872:O9, then O can take 3 (7) or 5 to win. 1241:2A01:E34:EF23:5C50:C46F:458D:BCEE:5A29 587:assumption for mathematical analysis. 3863:B-Class board and table game articles 3555:2A0B:F100:22:21B7:CDCA:F310:25E9:46F5 2146:X6 (3, 8, 7), this game will be draw. 2076:X9 (5, 4, 3), this game will be draw. 1831:X8 (6)/7 (3), this game will be draw. 1820:X6 (3, 8, 7), this game will be draw. 1531:X4 (1, 9, 8), this game will be draw. 1471:X6 (3, 8, 7), this game will be draw. 251:, this should not be changed without 7: 3883:High-importance game theory articles 3531:our prohibition on original research 2239:O6, then this game can only be draw. 2084:O3, then this game can only be draw, 755:therefore x can always force a win 294:It is of interest to the following 23:for discussing improvements to the 2731:O1, then O can take 4 or 9 to win. 2718:O5, then O can take 1 or 3 to win. 2689:O5, then O can take 1 or 3 to win. 2676:O9, then O can take 5 or 8 to win. 2663:X5, then X can take 8 or 9 to win. 2176:O7, then O can take 3 or 4 to win. 2119:O7, then O can take 3 or 4 to win. 2016:O5, then O can take 3 or 9 to win. 1926:O7, then O can take 4 or 9 to win. 1804:O5, then O can take 6 or 9 to win. 1596:O7, then O can take 3 or 4 to win. 1539:O9, then O can take 1 or 6 to win. 711:Now, if Player X decides to fork: 14: 1266:. Please take a moment to review 1138:The object of the fictional game 1114:at a large board to mark squares. 484:Knowledge:WikiProject Game theory 355:WikiProject Board and table games 3838:Knowledge level-5 vital articles 3723: 3679: 3648: 3603: 3495:So we will be doing tic tac tor 2961:of it back "as is", but perhaps 2842:{\displaystyle {\frac {18}{35}}} 1459:When X takes 4 as second move: 856:which is not a good argument. — 530: 487:Template:WikiProject Game theory 443: 422: 338: 328: 307: 274: 265: 217: 45:Click here to start a new topic. 3516:Some random editor from nowhere 3139:Primary Winning "X" 129 "O" 61 2952:Work in progress: Combinatorics 2762:Thus, the win property of O is 2735:When X takes 9 as second move: 2722:When X takes 8 as second move: 2709:When X takes 6 as second move: 2693:When X takes 5 as second move: 2680:When X takes 4 as second move: 2667:When X takes 3 as second move: 2655:When X takes 1 as second move: 2287:Thus, the win property of O is 2135:X8 (7), this game will be draw, 2123:When X takes 9 as second move: 2110:When X takes 8 as second move: 2020:When X takes 7 as second move: 2007:When X takes 6 as second move: 1917:When X takes 5 as second move: 1905:X3 (7), this game will be draw. 1894:X3 (7), this game will be draw. 1883:X3 (7), this game will be draw. 1808:When X takes 4 as second move: 1795:When X takes 3 as second move: 1600:Thus, the win property of O is 1587:When X takes 8 as second move: 1509:X9 (8), this game will be draw. 1486:When X takes 7 as second move: 1482:X6 (8), this game will be draw. 1455:X9 (8), this game will be draw. 1443:When X takes 1 as second move: 504:This article has been rated as 401:This article has been rated as 3848:B-Class level-5 vital articles 2923:{\displaystyle {\frac {1}{7}}} 2896:{\displaystyle {\frac {1}{5}}} 2869:{\displaystyle {\frac {4}{7}}} 2812:{\displaystyle {\frac {4}{7}}} 2782:{\displaystyle {\frac {4}{7}}} 2642:{\displaystyle {\frac {1}{5}}} 2615:{\displaystyle {\frac {1}{7}}} 2588:{\displaystyle {\frac {1}{5}}} 2568:= "X takes 5 as second move", 2561:{\displaystyle {\frac {1}{7}}} 2534:{\displaystyle {\frac {1}{5}}} 2507:{\displaystyle {\frac {1}{7}}} 2480:{\displaystyle {\frac {3}{7}}} 1789:= "X takes 8 as second move") 1782:{\displaystyle {\frac {1}{7}}} 1755:{\displaystyle {\frac {1}{5}}} 1728:{\displaystyle {\frac {2}{7}}} 771:14:45, 22 September 2018 (UTC) 616:07:48, 22 September 2010 (UTC) 1: 3563:14:44, 29 November 2022 (UTC) 3486:21:06, 18 November 2020 (UTC) 3469:21:04, 18 November 2020 (UTC) 738:18:02, 26 November 2010 (UTC) 700:16:10, 26 November 2010 (UTC) 387:board and table game articles 42:Put new text under old text. 3878:B-Class game theory articles 3543:20:13, 29 October 2022 (UTC) 3524:19:24, 29 October 2022 (UTC) 3397:The article currently says: 3092:Without symmetric reductions 1127:The object of the fictional 1118:swapped. This adds surprise. 963:19:06, 19 January 2023 (UTC) 943:08:17, 8 February 2013 (UTC) 928:06:08, 8 February 2013 (UTC) 914:05:59, 8 February 2013 (UTC) 895:08:03, 8 February 2013 (UTC) 880:06:53, 4 February 2013 (UTC) 866:05:53, 4 February 2013 (UTC) 840:13:58, 3 February 2013 (UTC) 825:08:29, 3 February 2013 (UTC) 717:Then Player O can just win: 3808:O7 is the same as: X5-: --> 3702:to reactivate your request. 3690:has been answered. Set the 3626:to reactivate your request. 3614:has been answered. Set the 2946:17:10, 7 October 2016 (UTC) 2758:X3, this game will be draw. 2747:X8, this game will be draw. 2705:X3, this game will be draw. 2283:X3, this game will be draw. 2272:X4, this game will be draw. 2261:X6, this game will be draw. 2250:X7, this game will be draw, 2231:X7, this game will be draw. 2220:X7, this game will be draw. 2209:X4, this game will be draw. 2198:X3, this game will be draw. 2187:X8, this game will be draw, 2168:X4, this game will be draw. 2157:X4, this game will be draw, 2145:O8/7 (8/7, 6/3, 6/3) -: --> 2144:X7/8 (7/8, 3/6, 3/6) -: --> 2106:X4, this game will be draw. 2095:X4, this game will be draw. 2065:X9, this game will be draw. 2054:X9, this game will be draw. 2043:X4, this game will be draw. 2032:X4, this game will be draw. 2003:X3, this game will be draw. 1992:X4, this game will be draw. 1981:X6, this game will be draw. 1970:X7, this game will be draw. 1959:X9, this game will be draw. 1948:X9, this game will be draw, 1937:X9, this game will be draw. 1864:X9, this game will be draw. 1853:X9, this game will be draw. 1842:X9, this game will be draw, 1819:O8/7 (8/7, 6/3, 6/3) -: --> 1818:X7/8 (7/8, 3/6, 3/6) -: --> 1583:X3, this game will be draw. 1572:X8, this game will be draw. 1561:X1, this game will be draw, 1550:X6, this game will be draw. 1530:O9/8 (9/8, 4/1, 4/1) -: --> 1529:X8/9 (8/9, 1/4, 1/4) -: --> 1520:X6, this game will be draw. 1498:X4, this game will be draw. 1470:O8/7 (8/7, 6/3, 6/3) -: --> 1469:X7/8 (7/8, 3/6, 3/6) -: --> 1378:19:21, 1 January 2016 (UTC) 1168:cardinal and ordinal points 990:23:18, 15 August 2014 (UTC) 968:"Initiative in start game"? 776: 631:23:31, 5 January 2015 (UTC) 50:New to Knowledge? Welcome! 3899: 3794:19:13, 17 April 2024 (UTC) 3666:20:21, 16 April 2023 (UTC) 3642:18:29, 16 April 2023 (UTC) 3162:Simmetrical Illigal 11773 3095:With reduction by symmetry 1343:(last update: 5 June 2024) 1284:|deny=InternetArchiveBot}} 1259:Hello fellow Wikipedians, 1183:11:25, 25 April 2015 (UTC) 1096:(which by definition were 798:13:18, 11 April 2012 (UTC) 407:project's importance scale 3784:and crosses, by the way. 3775:10:58, 9 March 2024 (UTC) 3591:20:22, 1 April 2023 (UTC) 3446:01:54, 12 June 2018 (UTC) 3422:19:55, 7 April 2018 (UTC) 3128:Primary middlegame 627 1249:09:08, 30 June 2015 (UTC) 1066:, players play a game of 660:14:55, 22 June 2018 (UTC) 646:14:55, 22 June 2018 (UTC) 503: 438: 400: 323: 302: 80:Be welcoming to newcomers 3748:21:15, 9 June 2023 (UTC) 3718:21:04, 9 June 2023 (UTC) 3427:Simplest strategy for X? 3388:15:19, 30 May 2017 (UTC) 1081:Toys & Games called 1026:) 17:32, 8 December 2014 450:This article is part of 351:This article is part of 3505:18:05, 3 May 2022 (UTC) 2075:O5/4 (9/3, 3, 4) -: --> 2074:X4/5 (3/9, 9, 5) -: --> 1255:External links modified 1213:22:48, 3 May 2015 (UTC) 636:Yes everything is true 453:WikiProject Game theory 3833:B-Class vital articles 3733:"change X to Y" format 3159:Primary illegal 2042 3106:Overall Primary 2862 3056:Possible symmetry are 2986: 2924: 2897: 2870: 2843: 2813: 2783: 2643: 2616: 2589: 2562: 2535: 2508: 2481: 2451: 1783: 1756: 1729: 1699: 1056:Nine board tic-tac-toe 1046:Nine board tic-tac-toe 803:The "Strategy" section 665:Another strategy error 75:avoid personal attacks 3117:Primary Valid 820 2976: 2925: 2898: 2871: 2844: 2814: 2784: 2644: 2617: 2590: 2563: 2536: 2509: 2482: 2452: 1784: 1757: 1730: 1700: 460:. We need your help! 378:Board and table games 315:Board and table games 281:level-5 vital article 100:Neutral point of view 2907: 2880: 2853: 2826: 2796: 2766: 2626: 2599: 2572: 2545: 2518: 2491: 2464: 2291: 1766: 1739: 1712: 1604: 1324:regular verification 1309:to let others know. 1270:. If necessary, add 490:game theory articles 249:relevant style guide 245:varieties of English 105:No original research 2143:O3 (6, 7, 8) -: --> 2073:O3 (4, 5, 9) -: --> 1893:O8 (6)/7 (3) -: --> 1892:X7 (3)/8 (6) -: --> 1830:O7 (3)/8 (6) -: --> 1817:O3 (6, 7, 8) -: --> 1528:O1 (4, 8, 9) -: --> 1468:O3 (6, 7, 8) -: --> 1314:After February 2018 1305:parameter below to 854:WP:OTHERSTUFFEXISTS 247:. According to the 3114:Valid Boards 5868 2987: 2920: 2893: 2866: 2839: 2809: 2779: 2639: 2612: 2585: 2558: 2531: 2504: 2477: 2447: 1779: 1752: 1725: 1695: 1319:InternetArchiveBot 1094:two lines of three 858:Forgot to put name 817:Forgot to put name 777:On O's second move 290:content assessment 86:dispute resolution 47: 3777: 3765:comment added by 3706: 3705: 3630: 3629: 3568:Page WAY too long 3361: 3360: 3166: 3165: 3125:MIDDLEGAME 4520 3054: 3053: 2948: 2936:comment added by 2918: 2891: 2876:are greater than 2864: 2837: 2807: 2777: 2637: 2610: 2583: 2556: 2529: 2502: 2475: 2445: 2432: 2419: 2406: 2393: 2380: 2367: 2341: 2328: 2315: 2302: 1777: 1750: 1723: 1693: 1680: 1667: 1654: 1641: 1628: 1615: 1422: 1421: 1376: 1344: 1251: 1239:comment added by 1175:Anthony Appleyard 1160:Nine Men's Morris 1052:Super tic-tac-toe 1028: 1014:comment added by 773: 761:comment added by 720:. . X O O O X . X 714:. . X O O . X . X 708:. . X O O . X . . 690:comment added by 680:a . X . O . X . b 673:. . X . 0 . X . . 573: 572: 554: 553: 524: 523: 520: 519: 516: 515: 478: 417: 416: 413: 412: 259: 258: 212: 211: 66:Assume good faith 43: 3890: 3744: 3739:if appropriate. 3727: 3726: 3697: 3693: 3683: 3682: 3676: 3656: 3652: 3651: 3621: 3617: 3607: 3606: 3600: 3172: 3120:Symmetric 16821 3089: 3019: 3018: 2929: 2927: 2926: 2921: 2919: 2911: 2902: 2900: 2899: 2894: 2892: 2884: 2875: 2873: 2872: 2867: 2865: 2857: 2848: 2846: 2845: 2840: 2838: 2830: 2818: 2816: 2815: 2810: 2808: 2800: 2788: 2786: 2785: 2780: 2778: 2770: 2648: 2646: 2645: 2640: 2638: 2630: 2621: 2619: 2618: 2613: 2611: 2603: 2594: 2592: 2591: 2586: 2584: 2576: 2567: 2565: 2564: 2559: 2557: 2549: 2540: 2538: 2537: 2532: 2530: 2522: 2513: 2511: 2510: 2505: 2503: 2495: 2486: 2484: 2483: 2478: 2476: 2468: 2456: 2454: 2453: 2448: 2446: 2438: 2433: 2425: 2420: 2412: 2407: 2399: 2394: 2386: 2381: 2373: 2368: 2360: 2355: 2350: 2342: 2334: 2329: 2321: 2316: 2308: 2303: 2295: 1788: 1786: 1785: 1780: 1778: 1770: 1761: 1759: 1758: 1753: 1751: 1743: 1734: 1732: 1731: 1726: 1724: 1716: 1704: 1702: 1701: 1696: 1694: 1686: 1681: 1673: 1668: 1660: 1655: 1647: 1642: 1634: 1629: 1621: 1616: 1608: 1437:empty position. 1387: 1372: 1371:Talk to my owner 1367: 1342: 1341: 1320: 1285: 1277: 1027: 1008: 736: 702: 568: 545: 544: 534: 526: 510:importance scale 492: 491: 488: 485: 482: 462: 447: 440: 439: 434: 426: 419: 389: 388: 385: 382: 379: 348: 343: 342: 332: 325: 324: 319: 311: 304: 287: 278: 277: 270: 269: 261: 228:American English 224:This article is 221: 214: 206: 179: 178: 164: 95:Article policies 16: 3898: 3897: 3893: 3892: 3891: 3889: 3888: 3887: 3818: 3817: 3802: 3756: 3742: 3737:reliable source 3724: 3695: 3691: 3680: 3674: 3649: 3647: 3619: 3615: 3604: 3598: 3570: 3551: 3512: 3493: 3478:Chocolateediter 3461:Chocolateediter 3453: 3429: 3395: 2971: 2954: 2905: 2904: 2878: 2877: 2851: 2850: 2824: 2823: 2794: 2793: 2764: 2763: 2624: 2623: 2597: 2596: 2570: 2569: 2543: 2542: 2516: 2515: 2489: 2488: 2462: 2461: 2289: 2288: 1904:O8 (6)/5 -: --> 1903:X5/8 (6) -: --> 1882:O9/7 (3) -: --> 1881:X7 (3)/9 -: --> 1852:O7 (3)/5 -: --> 1851:X5/7 (3) -: --> 1841:O8 (6)/5 -: --> 1840:X5/8 (6) -: --> 1764: 1763: 1737: 1736: 1710: 1709: 1602: 1601: 1385: 1375: 1370: 1335: 1328:have permission 1318: 1279: 1271: 1257: 1220: 1218:Move Vocabulary 1205:Battling McGook 1195: 1054:is played like 1034: 1009: 997: 979: 970: 846:WP:NOTGAMEGUIDE 809:WP:NOTGAMEGUIDE 805: 785: 779: 728: 721: 715: 709: 685: 681: 674: 667: 578: 576:Who goes first? 569: 563: 539: 506:High-importance 489: 486: 483: 480: 479: 433:High‑importance 432: 403:High-importance 386: 383: 380: 377: 376: 344: 337: 318:High‑importance 317: 288:on Knowledge's 285: 275: 253:broad consensus 208: 207: 202: 121: 116: 115: 114: 91: 61: 12: 11: 5: 3896: 3894: 3886: 3885: 3880: 3875: 3870: 3865: 3860: 3855: 3850: 3845: 3840: 3835: 3830: 3820: 3819: 3801: 3798: 3797: 3796: 3767:73.189.192.219 3755: 3752: 3751: 3750: 3735:and provide a 3704: 3703: 3684: 3673: 3670: 3669: 3668: 3628: 3627: 3608: 3597: 3594: 3569: 3566: 3550: 3547: 3546: 3545: 3535:David Eppstein 3511: 3508: 3492: 3489: 3452: 3449: 3428: 3425: 3394: 3391: 3359: 3358: 3355: 3352: 3349: 3346: 3342: 3341: 3338: 3335: 3332: 3329: 3325: 3324: 3321: 3318: 3315: 3312: 3308: 3307: 3304: 3301: 3298: 3295: 3291: 3290: 3287: 3284: 3281: 3278: 3274: 3273: 3270: 3267: 3264: 3261: 3257: 3256: 3253: 3250: 3247: 3244: 3240: 3239: 3236: 3233: 3230: 3227: 3223: 3222: 3219: 3216: 3213: 3210: 3206: 3205: 3202: 3199: 3196: 3193: 3189: 3188: 3185: 3182: 3179: 3176: 3164: 3163: 3160: 3157: 3156:ILLEGAL 13815 3153: 3152: 3150: 3149:Primary Draw 3 3147: 3143: 3142: 3140: 3137: 3133: 3132: 3129: 3126: 3122: 3121: 3118: 3115: 3111: 3110: 3107: 3104: 3100: 3099: 3096: 3093: 3083: 3082: 3079: 3076: 3073: 3070: 3067: 3064: 3061: 3052: 3051: 3048: 3045: 3041: 3040: 3037: 3034: 3030: 3029: 3026: 3023: 3014: 3013: 3010: 2977:The first two 2970: 2967: 2953: 2950: 2917: 2914: 2890: 2887: 2863: 2860: 2836: 2833: 2822:Besides, both 2806: 2803: 2776: 2773: 2760: 2759: 2748: 2733: 2732: 2720: 2719: 2707: 2706: 2691: 2690: 2678: 2677: 2665: 2664: 2636: 2633: 2609: 2606: 2582: 2579: 2555: 2552: 2528: 2525: 2501: 2498: 2474: 2471: 2444: 2441: 2436: 2431: 2428: 2423: 2418: 2415: 2410: 2405: 2402: 2397: 2392: 2389: 2384: 2379: 2376: 2371: 2366: 2363: 2358: 2354: 2349: 2345: 2340: 2337: 2332: 2327: 2324: 2319: 2314: 2311: 2306: 2301: 2298: 2285: 2284: 2273: 2262: 2251: 2240: 2232: 2221: 2210: 2199: 2188: 2177: 2169: 2158: 2147: 2136: 2121: 2120: 2108: 2107: 2096: 2085: 2077: 2066: 2055: 2044: 2033: 2018: 2017: 2005: 2004: 1993: 1982: 1971: 1960: 1949: 1938: 1927: 1915: 1914: 1906: 1895: 1884: 1873: 1865: 1854: 1843: 1832: 1821: 1806: 1805: 1776: 1773: 1749: 1746: 1722: 1719: 1692: 1689: 1684: 1679: 1676: 1671: 1666: 1663: 1658: 1653: 1650: 1645: 1640: 1637: 1632: 1627: 1624: 1619: 1614: 1611: 1598: 1597: 1585: 1584: 1573: 1562: 1551: 1540: 1532: 1521: 1510: 1499: 1484: 1483: 1472: 1457: 1456: 1420: 1419: 1416: 1413: 1409: 1408: 1405: 1402: 1398: 1397: 1394: 1391: 1384: 1381: 1368: 1362: 1361: 1354: 1299: 1298: 1290:Added archive 1256: 1253: 1219: 1216: 1194: 1191: 1190: 1189: 1188: 1187: 1186: 1185: 1166:corresponding 1163: 1156: 1149: 1146: 1143: 1140:Squid-Tac-Toad 1136: 1125: 1119: 1115: 1105: 1075: 1072: 1060: 1049: 1042: 1033: 1032:Other variants 1030: 996: 993: 982:72.179.171.130 977: 969: 966: 955:136.181.195.29 950: 949: 948: 947: 946: 945: 935:Ihardlythinkso 901: 900: 899: 898: 897: 887:Ihardlythinkso 882: 872:Ihardlythinkso 832:Ihardlythinkso 804: 801: 783: 778: 775: 763:165.120.146.48 726: 719: 713: 707: 684: 679: 677: 672: 670: 666: 663: 634: 633: 577: 574: 571: 570: 565: 561: 559: 556: 555: 552: 551: 541: 540: 535: 529: 522: 521: 518: 517: 514: 513: 502: 496: 495: 493: 468:Fix a red link 461: 448: 436: 435: 427: 415: 414: 411: 410: 399: 393: 392: 390: 365:tabletop games 350: 349: 333: 321: 320: 312: 300: 299: 293: 271: 257: 256: 222: 210: 209: 200: 198: 197: 194: 193: 181: 180: 118: 117: 113: 112: 107: 102: 93: 92: 90: 89: 82: 77: 68: 62: 60: 59: 48: 39: 38: 35: 34: 28: 13: 10: 9: 6: 4: 3: 2: 3895: 3884: 3881: 3879: 3876: 3874: 3871: 3869: 3866: 3864: 3861: 3859: 3856: 3854: 3851: 3849: 3846: 3844: 3841: 3839: 3836: 3834: 3831: 3829: 3826: 3825: 3823: 3816: 3814: 3799: 3795: 3791: 3787: 3783: 3780: 3779: 3778: 3776: 3772: 3768: 3764: 3753: 3749: 3746: 3745: 3738: 3734: 3730: 3722: 3721: 3720: 3719: 3715: 3711: 3701: 3698:parameter to 3689: 3685: 3678: 3677: 3671: 3667: 3663: 3659: 3655: 3646: 3645: 3644: 3643: 3639: 3635: 3625: 3622:parameter to 3613: 3609: 3602: 3601: 3595: 3593: 3592: 3588: 3584: 3579: 3576: 3573: 3567: 3565: 3564: 3560: 3556: 3548: 3544: 3540: 3536: 3532: 3528: 3527: 3526: 3525: 3521: 3517: 3509: 3507: 3506: 3502: 3498: 3490: 3488: 3487: 3483: 3479: 3476: 3471: 3470: 3466: 3462: 3457: 3450: 3448: 3447: 3443: 3439: 3438:Vaughan Pratt 3433: 3426: 3424: 3423: 3419: 3415: 3411: 3410: 3405: 3401: 3398: 3392: 3390: 3389: 3385: 3381: 3376: 3373: 3370: 3367: 3364: 3356: 3353: 3350: 3347: 3344: 3343: 3339: 3336: 3333: 3330: 3327: 3326: 3322: 3319: 3316: 3313: 3310: 3309: 3305: 3302: 3299: 3296: 3293: 3292: 3288: 3285: 3282: 3279: 3276: 3275: 3271: 3268: 3265: 3262: 3259: 3258: 3254: 3251: 3248: 3245: 3242: 3241: 3237: 3234: 3231: 3228: 3225: 3224: 3220: 3217: 3214: 3211: 3208: 3207: 3203: 3200: 3197: 3194: 3191: 3190: 3186: 3183: 3180: 3177: 3174: 3173: 3170: 3161: 3158: 3155: 3154: 3151: 3148: 3145: 3144: 3141: 3138: 3136:WINNING 1332 3135: 3134: 3130: 3127: 3124: 3123: 3119: 3116: 3113: 3112: 3108: 3105: 3102: 3101: 3097: 3094: 3091: 3090: 3087: 3080: 3077: 3074: 3071: 3068: 3065: 3062: 3059: 3058: 3057: 3049: 3046: 3043: 3042: 3038: 3035: 3032: 3031: 3027: 3024: 3021: 3020: 3017: 3011: 3008: 3007: 3006: 3004: 2999: 2997: 2993: 2984: 2980: 2975: 2969:Combinatorics 2968: 2966: 2964: 2960: 2951: 2949: 2947: 2943: 2939: 2935: 2915: 2912: 2888: 2885: 2861: 2858: 2834: 2831: 2820: 2804: 2801: 2790: 2774: 2771: 2757:O8 (5) -: --> 2756:X5 (8) -: --> 2749: 2738: 2737: 2736: 2725: 2724: 2723: 2712: 2711: 2710: 2696: 2695: 2694: 2683: 2682: 2681: 2670: 2669: 2668: 2658: 2657: 2656: 2653: 2650: 2634: 2631: 2607: 2604: 2580: 2577: 2553: 2550: 2526: 2523: 2499: 2496: 2472: 2469: 2458: 2442: 2439: 2434: 2429: 2426: 2421: 2416: 2413: 2408: 2403: 2400: 2395: 2390: 2387: 2382: 2377: 2374: 2369: 2364: 2361: 2356: 2352: 2347: 2343: 2338: 2335: 2330: 2325: 2322: 2317: 2312: 2309: 2304: 2299: 2296: 2274: 2271:O7 (3) -: --> 2270:X3 (7) -: --> 2263: 2252: 2249:O6 (4) -: --> 2248:X4 (6) -: --> 2241: 2233: 2230:O6 (3) -: --> 2229:X3 (6) -: --> 2222: 2219:O6 (5) -: --> 2218:X5 (6) -: --> 2211: 2208:O7 (5) -: --> 2207:X5 (7) -: --> 2200: 2197:O8 (5) -: --> 2196:X5 (8) -: --> 2189: 2178: 2170: 2167:O6 (3) -: --> 2166:X3 (6) -: --> 2159: 2148: 2137: 2134:O7 (8) -: --> 2126: 2125: 2124: 2113: 2112: 2111: 2105:O5 (3) -: --> 2104:X3 (5) -: --> 2097: 2094:O6 (3) -: --> 2093:X3 (6) -: --> 2086: 2078: 2067: 2064:O6 (4) -: --> 2063:X4 (6) -: --> 2056: 2053:O6 (5) -: --> 2052:X5 (6) -: --> 2045: 2034: 2031:O6 (3) -: --> 2030:X3 (6) -: --> 2023: 2022: 2021: 2010: 2009: 2008: 1994: 1991:O7 (3) -: --> 1990:X3 (7) -: --> 1983: 1972: 1969:O6 (4) -: --> 1968:X4 (6) -: --> 1961: 1958:O6 (4) -: --> 1957:X4 (6) -: --> 1950: 1939: 1936:O7 (3) -: --> 1935:X3 (7) -: --> 1928: 1920: 1919: 1918: 1911:O6 (8) -: --> 1907: 1902:O7 (3) -: --> 1900:O6 (8) -: --> 1896: 1889:O6 (8) -: --> 1885: 1879:X8 (6) -: --> 1878:O6 (8) -: --> 1874: 1871:X7 (3) -: --> 1870:O6 (8) -: --> 1866: 1861:O8 (6) -: --> 1859:O6 (8) -: --> 1855: 1850:O8 (6) -: --> 1849:X3 (7) -: --> 1848:O6 (8) -: --> 1844: 1839:O7 (3) -: --> 1838:X3 (7) -: --> 1837:O6 (8) -: --> 1833: 1827:X3 (7) -: --> 1826:O6 (8) -: --> 1822: 1811: 1810: 1809: 1798: 1797: 1796: 1793: 1790: 1774: 1771: 1747: 1744: 1720: 1717: 1706: 1690: 1687: 1682: 1677: 1674: 1669: 1664: 1661: 1656: 1651: 1648: 1643: 1638: 1635: 1630: 1625: 1622: 1617: 1612: 1609: 1590: 1589: 1588: 1574: 1563: 1560:O9 (8) -: --> 1559:X8 (9) -: --> 1552: 1549:O4 (1) -: --> 1548:X1 (4) -: --> 1541: 1533: 1522: 1511: 1508:O8 (9) -: --> 1500: 1497:O6 (3) -: --> 1496:X3 (6) -: --> 1489: 1488: 1487: 1481:O8 (6) -: --> 1478:X7 (3) -: --> 1477:O3 (7) -: --> 1473: 1462: 1461: 1460: 1454:O8 (9) -: --> 1446: 1445: 1444: 1441: 1438: 1436: 1425: 1417: 1414: 1411: 1410: 1406: 1403: 1400: 1399: 1395: 1392: 1389: 1388: 1382: 1380: 1379: 1373: 1366: 1359: 1355: 1352: 1348: 1347: 1346: 1339: 1333: 1329: 1325: 1321: 1315: 1310: 1308: 1304: 1297: 1293: 1289: 1288: 1287: 1283: 1275: 1269: 1265: 1260: 1254: 1252: 1250: 1246: 1242: 1238: 1233: 1229: 1226: 1223: 1217: 1215: 1214: 1210: 1206: 1203: 1198: 1192: 1184: 1180: 1176: 1173: 1172: 1169: 1164: 1161: 1157: 1155: 1150: 1147: 1144: 1141: 1137: 1134: 1130: 1126: 1123: 1120: 1116: 1113: 1109: 1106: 1103: 1099: 1095: 1090: 1086: 1085: 1080: 1076: 1073: 1069: 1065: 1064:Tic-Tac-Chess 1061: 1057: 1053: 1050: 1047: 1043: 1039: 1038: 1036: 1035: 1031: 1029: 1025: 1021: 1017: 1016:129.49.17.164 1013: 1006: 1002: 994: 992: 991: 987: 983: 975: 974:June 16, 2011 967: 965: 964: 960: 956: 944: 940: 936: 931: 930: 929: 925: 921: 917: 916: 915: 911: 907: 902: 896: 892: 888: 883: 881: 877: 873: 869: 868: 867: 863: 859: 855: 851: 850:WP:GAMETRIVIA 847: 843: 842: 841: 837: 833: 829: 828: 827: 826: 822: 818: 814: 813:WP:GAMETRIVIA 810: 802: 800: 799: 795: 791: 782: 774: 772: 768: 764: 760: 753: 750: 746: 743: 740: 739: 735: 731: 727: 724: 718: 712: 706: 703: 701: 697: 693: 689: 678: 671: 664: 662: 661: 657: 653: 648: 647: 643: 639: 632: 628: 624: 623:89.110.14.218 620: 619: 618: 617: 613: 609: 605: 601: 595: 593: 588: 586: 581: 575: 558: 557: 550: 547: 546: 543: 542: 538: 533: 528: 527: 511: 507: 501: 498: 497: 494: 477: 473: 469: 465: 459: 455: 454: 449: 446: 442: 441: 437: 431: 428: 425: 421: 408: 404: 398: 395: 394: 391: 374: 370: 366: 362: 358: 357: 356: 347: 341: 336: 334: 331: 327: 326: 322: 316: 313: 310: 306: 301: 297: 291: 283: 282: 272: 268: 263: 262: 254: 250: 246: 242: 238: 234: 230: 229: 223: 220: 216: 215: 196: 195: 192: 189: 187: 183: 182: 177: 173: 170: 167: 163: 159: 155: 152: 149: 146: 143: 140: 137: 134: 131: 127: 124: 123:Find sources: 120: 119: 111: 110:Verifiability 108: 106: 103: 101: 98: 97: 96: 87: 83: 81: 78: 76: 72: 69: 67: 64: 63: 57: 53: 52:Learn to edit 49: 46: 41: 40: 37: 36: 32: 26: 22: 18: 17: 3812: 3803: 3781: 3761:— Preceding 3757: 3740: 3728: 3707: 3699: 3688:edit request 3653: 3631: 3623: 3612:edit request 3580: 3577: 3574: 3571: 3552: 3514:just asking 3513: 3497:86.9.134.224 3494: 3472: 3458: 3454: 3434: 3430: 3412: 3406: 3402: 3399: 3396: 3377: 3374: 3371: 3368: 3365: 3362: 3167: 3098:furter info 3084: 3055: 3015: 3000: 2995: 2991: 2988: 2962: 2958: 2955: 2938:101.9.98.209 2932:— Preceding 2821: 2791: 2761: 2734: 2721: 2708: 2692: 2679: 2666: 2654: 2651: 2459: 2286: 2122: 2109: 2019: 2006: 1916: 1807: 1794: 1791: 1707: 1599: 1586: 1485: 1458: 1442: 1439: 1434: 1426: 1423: 1363: 1338:source check 1317: 1311: 1306: 1302: 1300: 1261: 1258: 1235:— Preceding 1230: 1227: 1224: 1221: 1199: 1196: 1132: 1098:intersecting 1093: 1083: 1082: 1063: 1055: 1051: 1045: 1010:— Preceding 998: 995:xkcd graphic 971: 951: 806: 786: 784:--- -OX -X- 780: 757:— Preceding 754: 751: 747: 744: 741: 722: 716: 710: 704: 692:129.175.5.43 682: 675: 668: 649: 635: 596: 589: 582: 579: 536: 505: 451: 402: 369:project page 353: 352: 346:Games portal 296:WikiProjects 279: 240: 236: 232: 225: 184: 171: 165: 157: 150: 144: 138: 132: 122: 94: 19:This is the 3549:Tic-Oat-Two 3491:Tic tac toe 3146:DRAW 16 1863:O7/3 -: --> 1862:X3/7 -: --> 1264:Tic-tac-toe 1108:Toss Across 1089:geometrical 1084:Check Lines 686:—Preceding 481:Game theory 472:Add content 458:Game theory 430:Game theory 361:board games 226:written in 148:free images 31:not a forum 25:Tic-tac-toe 3822:Categories 3692:|answered= 3634:Misemefein 3616:|answered= 3475:SOS (game) 373:discussion 3729:Not done: 2983:game tree 2755:O6 -: --> 2754:X4 -: --> 2753:O1 -: --> 2752:X9 -: --> 2751:O7 -: --> 2750:X2 -: --> 2746:O6 -: --> 2745:X3 -: --> 2744:O5 -: --> 2743:X4 -: --> 2742:O1 -: --> 2741:X9 -: --> 2740:O7 -: --> 2739:X2 -: --> 2730:X3 -: --> 2729:O5 -: --> 2728:X8 -: --> 2727:O7 -: --> 2726:X2 -: --> 2717:X8 -: --> 2716:O9 -: --> 2715:X6 -: --> 2714:O7 -: --> 2713:X2 -: --> 2704:O6 -: --> 2703:X4 -: --> 2702:O1 -: --> 2701:X9 -: --> 2700:O8 -: --> 2699:X5 -: --> 2698:O7 -: --> 2697:X2 -: --> 2688:X8 -: --> 2687:O9 -: --> 2686:X4 -: --> 2685:O7 -: --> 2684:X2 -: --> 2675:X4 -: --> 2674:O1 -: --> 2673:X3 -: --> 2672:O7 -: --> 2671:X2 -: --> 2662:O3 -: --> 2661:X1 -: --> 2660:O7 -: --> 2659:X2 -: --> 2282:O6 -: --> 2281:X4 -: --> 2280:O7 -: --> 2279:X5 -: --> 2278:O8 -: --> 2277:X9 -: --> 2276:O1 -: --> 2275:X2 -: --> 2269:O6 -: --> 2268:X5 -: --> 2267:O8 -: --> 2266:X9 -: --> 2265:O1 -: --> 2264:X2 -: --> 2260:O3 -: --> 2259:X7 -: --> 2258:O4 -: --> 2257:X5 -: --> 2256:O8 -: --> 2255:X9 -: --> 2254:O1 -: --> 2253:X2 -: --> 2247:O3 -: --> 2246:X5 -: --> 2245:O8 -: --> 2244:X9 -: --> 2243:O1 -: --> 2242:X2 -: --> 2238:X4 -: --> 2237:O8 -: --> 2236:X9 -: --> 2235:O1 -: --> 2234:X2 -: --> 2228:O5 -: --> 2227:X4 -: --> 2226:O8 -: --> 2225:X9 -: --> 2224:O1 -: --> 2223:X2 -: --> 2217:O3 -: --> 2216:X4 -: --> 2215:O8 -: --> 2214:X9 -: --> 2213:O1 -: --> 2212:X2 -: --> 2206:O6 -: --> 2205:X3 -: --> 2204:O8 -: --> 2203:X9 -: --> 2202:O1 -: --> 2201:X2 -: --> 2195:O6 -: --> 2194:X4 -: --> 2193:O7 -: --> 2192:X9 -: --> 2191:O1 -: --> 2190:X2 -: --> 2186:O6 -: --> 2185:X3 -: --> 2184:O5 -: --> 2183:X4 -: --> 2182:O7 -: --> 2181:X9 -: --> 2180:O1 -: --> 2179:X2 -: --> 2175:X8 -: --> 2174:O5 -: --> 2173:X9 -: --> 2172:O1 -: --> 2171:X2 -: --> 2165:O8 -: --> 2164:X7 -: --> 2163:O5 -: --> 2162:X9 -: --> 2161:O1 -: --> 2160:X2 -: --> 2156:O8 -: --> 2155:X7 -: --> 2154:O3 -: --> 2153:X6 -: --> 2152:O5 -: --> 2151:X9 -: --> 2150:O1 -: --> 2149:X2 -: --> 2142:X4 -: --> 2141:O5 -: --> 2140:X9 -: --> 2139:O1 -: --> 2138:X2 -: --> 2133:X4 -: --> 2132:O6 -: --> 2131:X3 -: --> 2130:O5 -: --> 2129:X9 -: --> 2128:O1 -: --> 2127:X2 -: --> 2118:X9 -: --> 2117:O5 -: --> 2116:X8 -: --> 2115:O1 -: --> 2114:X2 -: --> 2103:O6 -: --> 2102:X9 -: --> 2101:O8 -: --> 2100:X7 -: --> 2099:O1 -: --> 2098:X2 -: --> 2092:O5 -: --> 2091:X9 -: --> 2090:O8 -: --> 2089:X7 -: --> 2088:O1 -: --> 2087:X2 -: --> 2083:X9 -: --> 2082:O8 -: --> 2081:X7 -: --> 2080:O1 -: --> 2079:X2 -: --> 2072:X6 -: --> 2071:O8 -: --> 2070:X7 -: --> 2069:O1 -: --> 2068:X2 -: --> 2062:O3 -: --> 2061:X5 -: --> 2060:O8 -: --> 2059:X7 -: --> 2058:O1 -: --> 2057:X2 -: --> 2051:O3 -: --> 2050:X4 -: --> 2049:O8 -: --> 2048:X7 -: --> 2047:O1 -: --> 2046:X2 -: --> 2042:O6 -: --> 2041:X9 -: --> 2040:O5 -: --> 2039:X3 -: --> 2038:O8 -: --> 2037:X7 -: --> 2036:O1 -: --> 2035:X2 -: --> 2029:O8 -: --> 2028:X9 -: --> 2027:O5 -: --> 2026:X7 -: --> 2025:O1 -: --> 2024:X2 -: --> 2015:X4 -: --> 2014:O7 -: --> 2013:X6 -: --> 2012:O1 -: --> 2011:X2 -: --> 2002:O6 -: --> 2001:X4 -: --> 2000:O7 -: --> 1999:X9 -: --> 1998:O8 -: --> 1997:X5 -: --> 1996:O1 -: --> 1995:X2 -: --> 1989:O6 -: --> 1988:X9 -: --> 1987:O8 -: --> 1986:X5 -: --> 1985:O1 -: --> 1984:X2 -: --> 1980:O3 -: --> 1979:X7 -: --> 1978:O4 -: --> 1977:X9 -: --> 1976:O8 -: --> 1975:X5 -: --> 1974:O1 -: --> 1973:X2 -: --> 1967:O3 -: --> 1966:X9 -: --> 1965:O8 -: --> 1964:X5 -: --> 1963:O1 -: --> 1962:X2 -: --> 1956:O3 -: --> 1955:X7 -: --> 1954:O8 -: --> 1953:X5 -: --> 1952:O1 -: --> 1951:X2 -: --> 1947:O3 -: --> 1946:X7 -: --> 1945:O4 -: --> 1944:X6 -: --> 1943:O8 -: --> 1942:X5 -: --> 1941:O1 -: --> 1940:X2 -: --> 1934:O6 -: --> 1933:X4 -: --> 1932:O8 -: --> 1931:X5 -: --> 1930:O1 -: --> 1929:X2 -: --> 1925:X3 -: --> 1924:O8 -: --> 1923:X5 -: --> 1922:O1 -: --> 1921:X2 -: --> 1912:X9 -: --> 1910:X4 -: --> 1909:O1 -: --> 1908:X2 -: --> 1901:X9 -: --> 1899:X4 -: --> 1898:O1 -: --> 1897:X2 -: --> 1891:O5 -: --> 1890:X9 -: --> 1888:X4 -: --> 1887:O1 -: --> 1886:X2 -: --> 1880:O5 -: --> 1877:X4 -: --> 1876:O1 -: --> 1875:X2 -: --> 1869:X4 -: --> 1868:O1 -: --> 1867:X2 -: --> 1860:X5 -: --> 1858:X4 -: --> 1857:O1 -: --> 1856:X2 -: --> 1847:X4 -: --> 1846:O1 -: --> 1845:X2 -: --> 1836:X4 -: --> 1835:O1 -: --> 1834:X2 -: --> 1829:X9 -: --> 1828:O5 -: --> 1825:X4 -: --> 1824:O1 -: --> 1823:X2 -: --> 1816:X9 -: --> 1815:O5 -: --> 1814:X4 -: --> 1813:O1 -: --> 1812:X2 -: --> 1803:X7 -: --> 1802:O4 -: --> 1801:X3 -: --> 1800:O1 -: --> 1799:X2 -: --> 1595:X9 -: --> 1594:O1 -: --> 1593:X8 -: --> 1592:O5 -: --> 1591:X2 -: --> 1582:O8 -: --> 1581:X9 -: --> 1580:O1 -: --> 1579:X4 -: --> 1578:O6 -: --> 1577:X7 -: --> 1576:O5 -: --> 1575:X2 -: --> 1571:O3 -: --> 1570:X1 -: --> 1569:O9 -: --> 1568:X6 -: --> 1567:O4 -: --> 1566:X7 -: --> 1565:O5 -: --> 1564:X2 -: --> 1558:O3 -: --> 1557:X6 -: --> 1556:O4 -: --> 1555:X7 -: --> 1554:O5 -: --> 1553:X2 -: --> 1547:O8 -: --> 1546:X9 -: --> 1545:O3 -: --> 1544:X7 -: --> 1543:O5 -: --> 1542:X2 -: --> 1538:X8 -: --> 1537:O3 -: --> 1536:X7 -: --> 1535:O5 -: --> 1534:X2 -: --> 1527:X6 -: --> 1526:O3 -: --> 1525:X7 -: --> 1524:O5 -: --> 1523:X2 -: --> 1519:O8 -: --> 1518:X9 -: --> 1517:O1 -: --> 1516:X4 -: --> 1515:O3 -: --> 1514:X7 -: --> 1513:O5 -: --> 1512:X2 -: --> 1507:X6 -: --> 1506:O4 -: --> 1505:X1 -: --> 1504:O3 -: --> 1503:X7 -: --> 1502:O5 -: --> 1501:X2 -: --> 1495:O8 -: --> 1494:X9 -: --> 1493:O1 -: --> 1492:X7 -: --> 1491:O5 -: --> 1490:X2 -: --> 1480:X9 -: --> 1479:O1 -: --> 1476:X4 -: --> 1475:O5 -: --> 1474:X2 -: --> 1467:X9 -: --> 1466:O1 -: --> 1465:X4 -: --> 1464:O5 -: --> 1463:X2 -: --> 1453:X6 -: --> 1452:O4 -: --> 1451:X7 -: --> 1450:O3 -: --> 1449:X1 -: --> 1448:O5 -: --> 1447:X2 -: --> 1432:O8 -: --> 1431:X7 -: --> 1430:O4 -: --> 1429:X9 -: --> 1428:O1 -: --> 1358:this tool 1351:this tool 1112:bean bags 920:Linkminer 906:Linkminer 549:Archive 1 284:is rated 88:if needed 71:Be polite 21:talk page 3810:X7-: --> 3809:O9-: --> 3807:X3-: --> 3806:O1-: --> 3786:—Tamfang 3763:unsigned 3658:M.Bitton 3109:Example 2992:position 2934:unsigned 1364:Cheers.— 1274:cbignore 1237:unsigned 1131:game of 1102:adjacent 1024:contribs 1012:unsigned 759:unsigned 734:contribs 688:unsigned 650:Nkalane 537:Archives 476:Weigh in 241:traveled 186:Archives 56:get help 29:This is 27:article. 3782:Noughts 3583:Tallard 3553:Add it 2981:of the 1374::Online 1303:checked 1268:my edit 1154:Go-moku 1133:Gemedet 1079:Tri-ang 790:JMOprof 725:Avindra 652:Nkalane 638:Nkalane 508:on the 464:Join in 405:on the 286:B-class 237:defense 154:WP refs 142:scholar 3710:11111s 3414:Akayet 3184:O wins 3181:X wins 1435:random 1282:nobots 1071:chess. 972:Since 292:scale. 126:Google 3813:which 3696:|ans= 3686:This 3620:|ans= 3610:This 3187:Draw 3178:Board 3175:Level 3103:19683 2979:plies 1104:hole. 1068:chess 1059:grid. 844:Read 273:This 233:color 169:JSTOR 130:books 84:Seek 3790:talk 3771:talk 3714:talk 3662:talk 3654:Done 3638:talk 3587:talk 3559:talk 3539:talk 3520:talk 3501:talk 3482:talk 3465:talk 3442:talk 3418:talk 3384:talk 3345:9 -- 3320:15** 2996:game 2963:some 2942:talk 2849:and 1307:true 1245:talk 1209:talk 1197:Hi, 1179:talk 1129:D'ni 1122:Mojo 1020:talk 986:talk 959:talk 939:talk 924:talk 910:talk 891:talk 876:talk 862:talk 848:and 836:talk 821:talk 815:. — 811:and 794:talk 767:talk 730:talk 696:talk 656:talk 642:talk 627:talk 612:talk 604:talk 600:Smjg 592:this 585:wlog 500:High 397:High 363:and 162:FENS 136:news 73:and 3743:JTP 3694:or 3618:or 3533:. — 3473:or 3354:2** 3334:23* 3328:8 X 3311:7 O 3300:21* 3297:183 3294:6 X 3280:153 3277:5 O 3263:108 3260:4 X 3243:3 O 3226:2 X 3209:1 O 3192:0 X 2959:all 1332:RfC 1294:to 1062:In 1044:In 176:TWL 3824:: 3792:) 3773:) 3716:) 3700:no 3664:) 3640:) 3624:no 3589:) 3561:) 3541:) 3522:) 3503:) 3484:) 3467:) 3444:) 3420:) 3386:) 3380:Nø 3378:-- 3357:3 3340:0 3337:23 3331:34 3323:0 3317:58 3314:95 3306:0 3303:21 3289:0 3283:21 3272:0 3255:0 3246:38 3238:0 3229:12 3221:0 3204:0 3050:i 3047:h 3044:g 3039:f 3036:e 3033:d 3028:c 3025:b 3022:a 2944:) 2835:35 2832:18 2789:. 2457:. 2443:35 2440:18 2430:35 2417:35 2404:35 2391:35 2388:15 2370:⋅ 2344:⋅ 2318:⋅ 1705:. 1678:35 1665:35 1652:35 1618:⋅ 1418:9 1415:8 1412:7 1407:6 1404:5 1401:4 1396:3 1393:2 1390:1 1345:. 1340:}} 1336:{{ 1280:{{ 1276:}} 1272:{{ 1247:) 1211:) 1181:) 1162:). 1041:3. 1022:• 988:) 961:) 941:) 926:) 912:) 893:) 878:) 864:) 838:) 823:) 796:) 769:) 732:/ 698:) 658:) 644:) 629:) 614:) 608:Nø 594:. 474:| 470:| 466:| 239:, 235:, 156:) 54:; 3788:( 3769:( 3712:( 3660:( 3636:( 3585:( 3557:( 3537:( 3518:( 3499:( 3480:( 3463:( 3440:( 3416:( 3382:( 3351:6 3348:0 3286:0 3269:0 3266:0 3252:0 3249:0 3235:0 3232:0 3218:0 3215:0 3212:3 3201:0 3198:0 3195:1 3003:! 2940:( 2916:7 2913:1 2889:5 2886:1 2862:7 2859:4 2805:7 2802:4 2792:( 2775:7 2772:4 2635:5 2632:1 2608:7 2605:1 2581:5 2578:1 2554:7 2551:1 2527:5 2524:1 2500:7 2497:1 2473:7 2470:3 2460:( 2435:= 2427:1 2422:+ 2414:1 2409:+ 2401:1 2396:+ 2383:= 2378:5 2375:1 2365:7 2362:1 2357:+ 2353:5 2348:1 2339:7 2336:1 2331:+ 2326:5 2323:1 2313:7 2310:1 2305:+ 2300:7 2297:3 1775:7 1772:1 1748:5 1745:1 1721:7 1718:2 1708:( 1691:5 1688:1 1683:= 1675:7 1670:= 1662:5 1657:+ 1649:2 1644:= 1639:7 1636:1 1631:+ 1626:5 1623:1 1613:7 1610:2 1360:. 1353:. 1243:( 1207:( 1177:( 1018:( 984:( 957:( 937:( 922:( 908:( 889:( 874:( 860:( 834:( 819:( 792:( 765:( 694:( 654:( 640:( 625:( 610:( 602:( 512:. 409:. 375:. 298:: 255:. 191:1 188:: 172:· 166:· 158:· 151:· 145:· 139:· 133:· 128:( 58:.

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.

Index