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51009 - Sum of the nth row

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Time limit 2000/4000/4000/4000 ms. Memory limit 65000/65000/65000/65000 Kb.
Question by Elton Domnori, Prepared by Ibrahim Mesecan.

Sum of the nth row

Question: You are given information about n objects in a matrix. The information for every object is stored in the columns. Write a program that sorts every column, and then, the program calculates and returns sum of nth row from the matrix.

Input specification: You will be given three integers in the beginning: size of matrix (rows-r and cols-c) and then the number of row (n) to calculate the sum where 1 < n ≤ (r and c) ≤ 200. Then, each of the following r lines contains c integers which are between -2e4 and +2e4.

Output specification: Show one integer.

Sample Input
5 6 3
0 8 1 1 10 6
6 8 7 0 3 9
0 7 6 8 6 5
4 0 2 7 2 0
4 4 5 7 5 1
Sample Output
33

Explanation: Here is the matrix sorted in ascending order according to the columns.
  0 0 1 0 2 0
  0 4 2 1 3 1
  4 7 5 7 5 5
  4 8 6 7 6 6
  6 8 7 8 10 9
Then, the third row contains the numbers 4 7 5 7 5 5. And the sum of the numbers is 33.



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