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the 0 and cross problem

please explain your answer.

Note by Harsh Mohan
3 years, 9 months ago

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X went first. I'm making the assumption that 1. Both will complete your 3-in-a-line if they can (and hence win) 2. Both will play to prevent the other from getting a 3-in-the-line (and hence not lose immediately) 3. Other than that, you are allowed to play in any way.

If O went first, then by his second turn he must have obtained 2 in a row (since any 2 of the 3 O's are in a line). This means that X will need to block it (since X cannot win in the 2nd turn), thus the first 2 O's placed must be in the middle column (the order doesn't matter), and the 2nd X placed must be the top middle one. Hence, the third O placed must be in the bottom left corner, after which X will need to play in either the top right or bottom right to prevent the 3-in-a-line.

Hence, we are left with the case that X went first. We also need to verify that a sequence of moves is possible. See Aditya's comment. Calvin Lin Staff · 3 years, 9 months ago

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It is "x's" turn. I tried most of the moves that would lead to this and I could narrow down to one solution, where X first plays In the 1st row 2nd column, then zero is made in the centre. Next, x is made in the 2nd row 1st column and zer0 in the 3rd row 2nd column. Finally, x is played in the 1st box and the zero in the 3rd row 1st column. This might not be the perfect solution though. Aditya Parson · 3 years, 9 months ago

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@Aditya Parson If this is a classical tic-tac-toe,I think the moves that you have suggested in your solution is a bit illogical .They are not looking for a chance to get themselves in a row of 3 same symboles. Jia Zheng Chai · 3 years, 9 months ago

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@Jia Zheng Chai Then any two players playing rationally would never arrive at this situation. Though it is important to note that sometimes negligence can lead to this pattern. Methinks. Aditya Parson · 3 years, 9 months ago

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@Aditya Parson Ok,got it. Jia Zheng Chai · 3 years, 9 months ago

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X Anubhav Singh · 3 years, 9 months ago

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it seems 0 has made a riddle 2 win the game becuz next is of X but unfortunately X may win hence next turn is of X Anubhav Singh · 3 years, 8 months ago

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next turn is of X bcuz he is not a fool to loose such an easy game Anubhav Singh · 3 years, 8 months ago

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arent we assuming that the players dont do a one move blunder?? Shourya Pandey · 3 years, 9 months ago

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whoever went first - it's his turn now we have to decide who went first if we assume that x was not dumb 0 cannot possibly go first - i tried every possible move with 0 starting first and every time got to a situation where the THIRD move of x must be to block 0's next move which is obviously not the case here so we can safely assume that x went first and it's his turn Snehdeep Arora · 3 years, 9 months ago

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its x's turn Ashish Kumar Singh · 3 years, 9 months ago

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0 in that game fist user can be enered in a squre box first so enter 0 in next Aba Shinde · 3 years, 9 months ago

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its X turn as it the player of X will not let the O player to get both ways to win without closing one path (diagonal or horizontal). Logically its X's turn Billy S. · 3 years, 9 months ago

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@Billy S. Well talking about logic...X gave a chance to O for wining.. :) Arushit Mudgal · 3 years, 9 months ago

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Well see,game starts with X,then O and again X and so on... At any instant of the game Number of O CAN NEVER BE MORE THAN X,here number of X and O is same so it has to be X's turn Soham Chanda · 3 years, 9 months ago

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@Soham Chanda Dude, 'x' need not be first. Sanjay Ambadi · 3 years, 9 months ago

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@Sanjay Ambadi yes..the game stars with X.. Soham Chanda · 3 years, 9 months ago

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of 0 one Vaibhav Singhal · 3 years, 9 months ago

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calvin sir can you help us with this? Harsh Mohan · 3 years, 9 months ago

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think about it like this x has one position from where he can win but but 0 has two winning positions.........so if 0 had to win he would have until now......but its not.....so naturally it is 0's turn....aye? Harsh Mohan · 3 years, 9 months ago

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X's turn. I tried to simulate it as if O had started but if that was the case O's moves would not be logical. Mustafa Özçiçek · 3 years, 9 months ago

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the person who played first Beakal Tiliksew · 3 years, 9 months ago

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@Beakal Tiliksew you have to either answer zero or cross. state your reason as well. Harsh Mohan · 3 years, 9 months ago

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i hv read a similar prob in a puzzle book... Nikhil Gupta · 3 years, 9 months ago

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its turn of player using 0 symbol Srijan Baranwal · 3 years, 9 months ago

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Case chase ! , I will scan and give you my solution today ! Shivang Jindal · 3 years, 9 months ago

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actually in both the players playing have made the blunder because 1 of the two players actually had a chance to win the game but refuse to do so. So, both x and o can the next turn Tejas Kasetty · 3 years, 9 months ago

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@Tejas Kasetty They refused to do so in the previous steps Tejas Kasetty · 3 years, 9 months ago

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@Tejas Kasetty I agree. Got the same answer. Maddy B · 3 years, 9 months ago

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I guess 0 because starting with the middle is usually the best first move in tic-tac-toe. Just based on common strategies used in this game. Anton Than Trong · 3 years, 9 months ago

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cross, my moves... 1st cross of second row, then zero of third row & second column, then cross of 1st row & 2nd column, then zero of middle one, then cross then zero ...so, next chance cross....too lazy to type reason Advitiya Brijesh · 3 years, 9 months ago

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It has to be 'x' simply because any two of the three circles force the 'x' player to respond to it, assuming both players are playing 'reasonably' and not just filling up squares randomly - thus after the circle player's second move, 'x' must respond; after the circle player's third move, the X player must respond again; looking at the board, X has only responded once by blocking a line of three; its thus his turn again

(Was wrong initially; edited) Gabriel Wong · 3 years, 9 months ago

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@Gabriel Wong What if it is the opposite way round?? Aditya Parson · 3 years, 9 months ago

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x as usually x starts and they have 3 turns each Yash Khandelwal · 3 years, 9 months ago

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