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There are n white dots and n black dots. Equally spaced in a line. You want to connect each white dot with some block dot in one to one fashion with a minimum total length of wire.
Consider 2 examples:

 

Greedy algorithm gives optimal solution for

  •  Only (i)

     

  • Only (ii)

     

  • Both (i) and (ii)

     

  • None of these
asked in Algorithms by Loyal (4.4k points) 8 63 116
retagged by | 343 views
What does it mean by total length of wire?
Yes i have the same querry and problem

How to solve it please tell >???????
Solve for optimal solution without changing the sequence given in 1 and 2.

For optimal, Leftmost black dot should be matched with the leftmost white dot.

Total length of wire for 1st case according to greedy will be

(1,3)=2

(2,5)=3

(4,6)=2

total length=7

Total Length of wire for 2nd case according to greedy will be

(1,3)=2

(2,4)=2

(5,7)=2

(6,8)=2

total length=8

So 1st gives optimal.

1 Answer

+2 votes
Solve for optimal solution without changing the sequence given in 1 and 2.

For optimal, Leftmost black dot should be matched with the leftmost white dot.

Total length of wire for 1st case according to greedy will be

(1,3)=2

(2,5)=3

(4,6)=2

total length=2+3+2=7

Total Length of wire for 2nd case according to greedy will be

(1,3)=2

(2,4)=2

(5,7)=2

(6,8)=2

total length=2+2+2+2=8

So 1st gives optimal.
answered by Boss (5.2k points) 4 18 36

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