Bsearch on diagonal elimanates all the submatrix under 9.

You are left with only one column and a row.Do BinarySearch on these lists.

On Wed, Nov 25, 2009 at 6:07 PM, chitta koushik
<[email protected]>wrote:

> @Bharath
>
> I dont think BinSrch on diagnol and then on row works.
> Can u explain your algo?  chk for this matrix
>
> 1  2  3  4  5
> 2  9 12 19 24
> 3  10 14 18 20
> 8  13 15 20 23
> 11 14 16 21 24
>
> Find(8) doesn't give o/p
>
>
> --Koushik C
>
> On Wed, Nov 25, 2009 at 5:18 PM, Arun <[email protected]> wrote:
>
>> how about splitting the matrix into 4 squares and considering the
>> rightmost bottom and comparing it to topmost left corner of each square. in
>> every iteration you will eliminate atleast one square. so worst case, you
>> have to repeat this divide and conquer on the three other squares.
>> not good as as binary search though(in the sense of eliminating 2
>> squares).
>>
>> On Wed, Nov 25, 2009 at 3:12 AM, Aditya Shankar <
>> [email protected]> wrote:
>>
>>>
>>>
>>> On Wed, Nov 25, 2009 at 2:16 PM, Bharath <[email protected]> wrote:
>>>
>>>> You can actually do it in O(logn) complexity. Binary Search on diagonal
>>>> and then on a row.
>>>
>>> Will that always work?
>>> 1 2 3
>>> 3 5 6
>>> 4 7 8
>>>
>>> Find(6) fails with the usual binary search algorithm.
>>>
>>>
>>>>
>>>>
>>>> On Tue, Nov 24, 2009 at 10:33 PM, chitta koushik <
>>>> [email protected]> wrote:
>>>>
>>>>> Start from top right or bottom left corner and move according if the
>>>>> element to be searched is lesser or greater than current.
>>>>>
>>>>>
>>>>> --Koushik C
>>>>> Pablo 
>>>>> Picasso<http://www.brainyquote.com/quotes/authors/p/pablo_picasso.html> - 
>>>>> "Computers are useless. They can only give you answers."
>>>>>
>>>>>
>>>>> On Tue, Nov 24, 2009 at 7:27 PM, Rohit Saraf <
>>>>> [email protected]> wrote:
>>>>>
>>>>>> A nice problem that i encountered :
>>>>>> In O(n) search for a value x in a sorted NxN matrix.
>>>>>> Definition of sorted matrix:  All rows and all columns are sorted in
>>>>>> ascending order.
>>>>>>
>>>>>>  So thought of sharing ..
>>>>>>
>>>>>>
>>>>>> Rohit Saraf
>>>>>> Sophomore
>>>>>> Computer Science and Engineering
>>>>>> IIT Bombay
>>>>>>
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>>>>
>>>>
>>>> --
>>>> <<Bharath>>
>>>>
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-- 
<<Bharath>>

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