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The question was not clear....it seemed to infer that the “o” could force a win... in the next move. It would have been clearer to specify that this could only happen in the NEXT moves, not just in the immediate upcoming one.
This problem makes recall the moments of having boring days at school warming the last benches and Doing "Tic,Toc , Tic"
This is one of the few tic-tac-toe situations where a win can be forced. The only other one I know is if O starts in a corner and X then starts in a mid-side box. They're both pretty artificial, as they rely on the opponent doing something dumb ie not going into the centre or a corner.
That's true(just pointing out).Because it only depends on where the opponent would put their X, so edit your options and add 'It is impossible' or 'It depends on the moves of the opponent'
“O” has seven positions at which it can be placed. That gives it 7 chances to force a win, out of which only 6 are possible! Giving “O” a 6/7 (85%) chance to force a win!
These are not just possible moves, but also depict the winning strategy. That is to say, if X deviates from the sequence of moves you have shown at any point, there is still a way for O to win!
In move 4, player will play for defeating the other player
Relevant wiki: Tic Tac Toe
First put O in any corner. Then, X is forced to be in the opposite corner. Now, put O in any other corner. Because there are now one row and one diagonal missing one, any one X picks will remain the other row or diagonal missing one.
Any other corner wouldn't do. It has to be the other corner in the same column as the first O (or the second, rather).
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Well... if O picks the two top corners he's OK. He could win using the top row. He just cannot pick the two bottom corners.
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He can't, because once he's taken one of the top corners X will have two in a row, which O will then need to block.
I just realized you were responding to his second move in the solution, not the first. Good point.
Any of the corners or sides allow O to force the win. The only potential draw is the top center.
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Any move is a potential draw, since O is under no obligation to follow through with the best move. But the top centre is the only move that leads to a draw if both players play perfectly from that point forward.
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The only potential draw with best play, I should have said. Thank you.
I can block anyone in this game and make it a tie everytime
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Yes, but not if you start from a configuration in the game which is already at a disadvantage.
This is a stupid question. You cant expect everyone to do a complete risk or chance analysis of tiktaktoe. If you want that just look at the wiki page.....the number of comments proves i am right.
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Firstly, this is a game of strategy, not chance.
Secondly, the problem doesn't ask anybody to do a complete analysis. It just asks you to give the outcome of one specific opening sequence. Even so, there's no need to analyse the full game tree - just one sequence of moves that guarantees a win for O would do.
There are no stupid questions, just stupid answers
This is not a stupid question. This is only an easy question. Please be nice and polite on Brilliant.
O can go in any corner. Obviously, X is forced to block the win. If O went in a top corner, he is forced to go in the bottom corner in the same column, thereby creating a fork. If O went in a bottom corner, he can force a win by playing in either of the other two cells in the same column.
Yet another way to win is to take the left or right edge cell and then an adjacent corner. In other words, O can force a win by going anywhere except the top.
Side comment: I was taught as a child that O goes first, but a lot of resources take the position that X goes first (or that there's no set rule about it). This is one of the few instances I've seen in recent times of O going first. (I wonder if there's any correlation between this and whether people call the game "noughts and crosses", "tic-tac-toe" or some other name.)
I have always referred to the game as "noughts and crosses". irrespective of who is supposed to go first. O goes first in this case because his first move is already done. Hence it is O's turn to make the next move, whatever the game is referred to as.
The trick is to create a situation where there are two ways for O to win, but X can only block one. For instance, imagine O plays the following move:
Now X is forced to play in the bottom left to prevent a three in a row:
Now O plays this move:
If X puts their move on square 1, O plays their move on square 2. If X puts their move on square 2, O plays their move on square 1. Therefore, O forced X into a loss.
The answer is YES , because if the first player (the O) moves to any of the upper corners, regardless of the side, the other player (the X) is forced to defend, hence leaving the attacker (O) two choices. Here is a visual representation:
First Move
Second Move
Third Move
Now it is pretty obvious that O has two ways to win the game, thus there is nothing left to do for the defender.
Great job of explaining how the play goes!
Nice solution. ⌣ ¨
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Thanks! I aimed to get a more "visual" representation of how things go.
It is possible but sometimes, it depends on the other players moves.
The question is asking if the player "can force a win".
"Can" means there is some circumstances where it will happen, not "no matter what moves the player does they will win". It's the same distinction we commonly see in math problems with "always" and "sometimes" -- it's not "always" true for every sequence of moves O win will, but "sometimes" is enough in this case.
"Force" means it will happen no matter what the other player does in response. Since optimal moves for O means the opponent has no recourse even in optimal counter-moves, O can force a win.
this one doesn't matter where your opponent goes.
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Yep, that is why a win can be forced.
Actually, O can force a win with any second move other than the top center.
The O will always win, unless it the O is placed in the top center. Other than that, the other players moves don’t matter at all
Either your opponent will move to block you, in which case you'd trap him/her, or won't and you'll win even quicker.
If both palyers are playing optimally the game , O will be win the game.
Because O select the central cell of the game . Central cell is the strategical cell of (Tic tac toe)
Two case will be support the O .
One case is in below :
There is just one move...just put O on any corner...and no matter how much you try O will always win...
If O goes into either space to the right or left, X has to block. O then goes to the appropriate corner, X can only block one of two possible moves.
Whoever moves first can always win in tic-tac-toe. The second move by the first player controls where the second player makes their second move.
Put O anywhere, and then form a triangle next turn in such a way that there are two ways to win. This is a force win, and there is no way to prevent it.
Put O on either side of the middle row. Then place an O either above or below it. You have forced a win.
1.O choses the Lower left corner. 2. X Must counter with upper right corner. 3. Then o goes in Middle left. 4a. If x goes in top left then o wins horizontal middle. 4b. If x goes middle right then o wins left vertical
I assumed the problem was implying that given this scenario could you force a win with this one move excluding and moves afterwards XD
As long as Circle's next move is on the corner, it is going to win.
Any corner?
There's an even quicker solution: put an O on the top left corner, which forces X to be put on the lower right corner. In turn that forces O to be put in the lower left corner, assuring the win for O.
As long as 'O' does not go into the top centre square with its next move, it should be able to win.
In TicTacToe the first player must take the center or they will lose. The second player must take a corner or THEY will lose.
Wrong. The first player can safely start in any cell. In each case, with perfect play the game is drawn. Specifically:
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This is the most interesting comment so far.! I wonder if in the case of this specific problem there is/are way/s for the X player to definatelly block O from winning.. This would be for me more interesting (like a chess "avoid check&mat in 2 moves" problem)..:):)
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Relevant wiki: Tic Tac Toe
Hence O can force a win