Prasun Vs Azhaghu (Tic-Tac-Toe duel - 2)

Logic Level 1

Once Prasun and Azhaghu were playing the famous game of Tic-Tac-Toe. Prasun plays the cross i.e ' $X$ ' and Azhaghu plays a circle i.e ' $O$ '. In the above picture , now its Azhaghu's turn.If Azhaghu plays a wrong move , he definitely loses the game.So where can Azhaghu put a ' $O$ ' to defend himself from the trap of Prasun?

Details and assumptions:

A player can put his symbol only once every move and a player cannot say pass his turn.
If you think Azhaghu can put his symbol on say $1,5$ then input your answer as $1+5=6$ .
If you think Azhaghu definitely loses the game , input $0$ .

For more , try this set .This problem is created by me!

1 5 2 3 6 4

2 solutions

Nihar Mahajan
Jun 4, 2015

We see that if Azhaghu doesnot let Prasun take the ' middle box ' , he would defend himself. Otherwise , Azhaghu will lose. Hence the answer is 5.

Moderator note:

Great visual aids. Wonderful work Nihar!

I was thinking he had to win, i didnt know the answer was by making it a cats game

Cortney Reed - 5 years, 10 months ago

if you put the circle in the middle, prasun can just take the corners, leaving Azhaghu forced to put a circle on the top. Then, Prasun can take another corner which would give prasun a win.

dylan koh - 5 years, 10 months ago

Yeah. We refer to this technique as $L$ tactic!

Sravanth C. - 6 years ago

its common sense

Raghav Gupta - 5 years, 11 months ago

but placing it on 2 and 6 will also make it a tie, whilst if you put the circle in the middle, prasun can just take the corners, leaving Azhaghu forced to put a circle on the top. Then, Prasun can take another corner which would give prasun a win(from Dylan Koh). is right

Cisco Wicaksana - 5 years, 8 months ago

Sravanth C.
Jun 4, 2015

As both the player as are hyper intelligent, the match ends in a draw. Let's examine the results of each move,

First at $1$ .

If this happens, Prasun will surely place his next move on $6$ to get the best chance of winning. Now, Azhaghu can place his move on either $5$ or $4$ , assuming that he places it at $4$ , Prasun will place his next move on $5$ and complete a row. $. . . . . . .(i)$

Next at $2$ .

If this happens, then the play will continue in the same way as the first case. i.e, Prasun will win. (As in $(i)$ )

Now at $3$ .

Even with this move, Prasun will surely win(continues the same way as above). (As in $(i)$ )

Now, at $4$ .

If this happens, Prasun will surely place his next move on $2$ to get the best chance of winning. Now, Azhaghu can place his move on either $5$ or $1$ , assuming that he places it at $1$ , Prasun will place his next move on $5$ and completes a row. $. . . . . . . .(ii)$

Next at $5$ .

If this happens, Prasun will place his next move on $3$ to defend himself. Now, Azhaghu can place his move on either $4$ or $1$ (so that he can win), assume that he places it at $1$ . So, as a counter, Prasun places at $4$ . Now, Azhaghu can only place his move on $6$ to defend himself. Next Prasun puts the last move on $2$ and the match ends in a draw! $. . . . . . . . . (iii)$

Finally at $6$ .

If he does this the play will continue as it was in $(ii)$ .

Hence we conclude that Azhaghu can play his best by using the $(iii)$ tactic in his tic tac toe game!

Well , my surname has been spelled wrong . It's $\huge \text{Azhaghu}$ , u r missing an h .

A Former Brilliant Member - 6 years ago

Lol!!!!! xD

Nihar Mahajan - 6 years ago

Sorry for inconvenience caused, I'll edit that!

Sravanth C. - 6 years ago

I have a secret..... I guessed( ͡° ͜ʖ ͡°)

Jay Paek - 5 years, 11 months ago

Prasun Vs Azhaghu (Tic-Tac-Toe duel - 2)

2 solutions

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