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zakruti.com » Knowledge, science, education » Logically Yours
Is it possible to catch the Thief? Quick and Tricky Puzzle

Is it possible to catch the Thief? Quick and Tricky Puzzle

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Rating: 4.0; Vote: 1
Is it possible to catch the Thief? -- Quick and Tricky Puzzle Christian: The dumb policeman go around the thief with no hope to catch him because he is always one node farther in the pattern. The smart policeman notice that there is a discontinuity in the pattern, and realizes that he can use this to catch the thief. Whatever are the moves of the thief the smart policeman makes sure to pass through the diagonal edge before directing to him. The diagonal is a kind of -break- in the periodicity of the moves and let the policeman to catch the thief wherever he goes in the pattern. After going through the disgonal the policeman can follow the patterns he likes: he has only to make sure the thief do not use the same trick. So we can say that under the given conditions there is always a pattern to the thief.
Date: 2023-11-15

Comments and reviews: 26


I remember seeing this problem on the ARML back in 2012. Third time I took part on a contest where we had to prove everything. Questions on it looked more at least number of cops, or least amount of pay (cops-time, least amount of time, etc.
One of the problems I remember was to prove the minimum number of cops needed to guarentee to catch a robber given the network was a K_n (complete graph of degree n) network.

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No, it's impossible. It's impossible if the thief stays on the upper 2nd dot and the thief can stay on the second upper dot even the police uses the move advantage he has. If the police moves up diagonally, the thief can also move right from the second dot, making the moves even again. Therefore, it's impossible. We have to rely on the thief's idiocy to make this possible.
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The most simplest and logical answer is the police just going up and down from the initial position(i. e: - The police officer goes upwards a segment, then comes back to the initial start position, no matter what move the theif makes, eventually they will have to end up together, because there is nowhere else to go.
Like if you agree. -------

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Typing this while paused before the solution.
Yes, it is possible, if the police can chase the thief to the bottom right square, where the police can use the diagonal line to catch the thief.
Not very likely that the thief would actually allow himself/herself to get caught in the bottom right square, but it's possible.

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Is it possible to prevent police catch the thief?
I know if police reach the diagnose first could catch the thief eventually.
BUT what if i want to reach the goal which is even if the police come first at diagnose point, but it still could prevent police to catch him, what would it be like?

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The thief can easily counter the move. Try to look for it. Sympathize for the thief as well haha.
Hint: if the thief tries his best to stay in the second upper dot, he can counter the police's wise move by moving right. There is more, look for it.
This puzzle is imposibble.

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It is just one of the case in many, there r other ways in which police can never caught the theif and the answer can be both yes or no, but for this yes is most likely to favour rather than not in this situation, because we r humans and r designed to solve problems.
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There is a fault in this game and actually I'm helping video maker to improve his logic or skill.
Theif would stand at same place after 1 move from police i. e to make odd to even and there is no rule to tell that: Thief should make 1 move if police makes 1 move.

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There was a similar question about finding a cat but in this question the cop -knows- all the time where the thief is while in the other puzzle the catcher though getting closer to cat never actually knows or is sure where it is till the last move when he catches it.
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I like your videos but in this case I have to call foul. The rules state that you must move along an edge. A diagonal is not an edge. Perhaps the rules could be more clearly stated that they must move from one junction point to another.
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After trying many possibilities once police go through the diagonal then thief must be caught. that's awesome. ---- really I tried many options. every time thief got caught after crossing the diagonal
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At -3: 03 the thief decided to catch the police and as soon the police moved along the diagonal line, he was gifted with a superpower to stupefy the thief till he got caught.
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Completely illogical.
Why this theif is want to caught.
If u played chocolate befor you'll know that single piece can't catch without other one doesn't want to caught.

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I don't no how the thief move. for example: in this problem if I move the police man right the thief can move down or right. so there is no logic in this in this question
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At 3: 13 if the thief had moved to front instead of moving backwards the distance would have been 2 again. So the answer is he cannot be caught until he surrenders.
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Definitely thief escape even cop reach diagonal line also. If cop reach diagonal line instead of moving backward he moves forward, then cop can't caught thief
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Hello we don't have the whole day, just tell us the answer, this is not a philosophy class, sorry I only copying the dialog of 3 idiots movie
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That riddle is impossible to answer. in Game rules -a person CAN only move- not that they MUST move. If cop will switch node thief will stop move.
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Yes police officer keep the first move to upward thief will start moving down quickly police officer turn to left and thief will be in caught
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3: 12, 3: 13, 3: 14 Dude I think out of box like if theif can go right box insted of going left then it can't be possible to catch theif
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Why would the thief fallow cop as the cop moves right. That doesn-t make sense. You want to distance yourself from the cop not him
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Why did the Thief moved nearer to the cop?
And why did he even move? The rules didn't say that the Thief has had to make a move

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Very nice puzzle and solving knowledge. Thief can use the similar diagonal to negate the police action to escape from the police.
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Of course how didn't I get it - police officer run away from thief to catch him easy. So real or Surreal?
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The puzzle doesn't mention the most critical part: the thief HAS to move each turn. It's not optional.
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What will happen if the thief deciding not to move at same stage to keep 2 step difference with police?
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