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We play two similar games called Knockout and TKO. In both we start with n playe

ID: 3848104 • Letter: W

Question

We play two similar games called Knockout and TKO. In both we start with n players, for whom we use the names {l, ..., n}. In each round of the game, all surviving players participate, and exactly one of them wins the round. After every round, players who are "too far behind" drop out; the rule for "too far behind" is the difference between Knockout and TKO: In Knockout, no player drops out in the first ten rounds. After that, players who have won fewer than half the number of rounds won by some other player drop out. In TKO, players who have won ten fewer games than some other player drop out. Players who drop out do not survive the round. The game can end in any round after a round is played in which there is only one surviving player. We record the game play as a string in {1, .. ., n}*, where the ith character in the string is the winner of round i. Then the language of TKO games is the set of all strings that can be the game play for TKO, and similarly for Knockout. TKO: Is the language of TKO games with two players regular? Answer yes or no, and explain. Show that the language of TKO games with two players in which player 2 w-ins is regular. (Explain.)

Explanation / Answer

import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.IOException;

/** category LongestCommonSubsequence **/
public category LongestCommonSubsequence
operate lcs **/
public String lcs(String str1, String str2)
mathematics.max(arr[i + 1][j], arr[i][j + 1]);
}
}

int i = 0, j = 0;
StringBuffer sb = new StringBuffer();
whereas (i < l1 && j < l2)
  
else if (arr[i + 1][j] >= arr[i][j + 1])
i++;
else
j++;
}
return sb.toString();
}

/** Main perform **/
public static void main(String[] args) throws IOException
  

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