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Solve using Network Flow and make sure to prove both direction. Also draw a bipa

ID: 3847593 • Letter: S

Question

Solve using Network Flow and make sure to prove both direction. Also draw a bipartite graph along with the explanation.

You are planning a dinner party for n friends who, naturally, have all sorts of dietary restrictions and allergies. Your plan is to cook some appetizer dishes and some main dishes and portion them so that you end up with n appetizer portions and n main portions. You email everyone, and for each person i E n) you get back their list Ai of OK-to-eat appetizer dishes and their list Mi of OK-to-eat main dishes. Design an efficient algorithm that takes as input the number of portions of each dish and the lists Ai,Mi, designs a max flow instance, has it solved, and uses the (value of the) maximum flow to decide whether or not it is possible to give each friend an appetizer and a main portion that is OK for them to eat.

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