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String length differences (Posted on 2005-02-15) Difficulty: 3 of 5
Consider the sequence 0100111100
There are 5 zeroes and 5 ones in this sequence.
The longest string of ones is 4.
The longest string of zeroes is 2.
The difference in string lengths is 2.

Create a sequence consisting of 100 zeroes and 100 ones which maximizes the difference in lengths between the longest string of 1's and the longest string of 0's.

Find a formula for the maximum difference in string lengths with n zeroes and n ones.

See The Solution Submitted by Jer    
Rating: 4.0000 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution solution | Comment 4 of 5 |
Hi,
   I have a solution for this.if n is even the difference is n/2 and if  n is odd then the difference  is (n-1)/2

Rajesh

  Posted by rajeshkumar on 2005-02-20 07:53:35
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