GATE | Sudo GATE 2020 Mock I (27 December 2019) | Question 24

Both Mr. Mithlesh Upadhyay and You play a game:

Mr. Mithlesh Upadhyay gives you a constant n.
You choose a word w in the language of length at least n.
Mr. Mithlesh Upadhyay gives you x, y, and z with xyz = w, |xy|≤n, and y not empty.
Now you pick r.
Mr. Mithlesh Upadhyay asserts that xy^rz is also in the language.
If Mr. Mithlesh Upadhyay is wrong, you win.

In case, if you win the game, what is the minimum possible value of your r for the language {0ⁱ1^j | i >= j} ?

(A)

(B)

(C)

(D)

Mr. Mithlesh Upadhyay won the game for given language.

Answer

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