@Lucifer

I am not getting how u r working with heapifying each time ..

Initially the array is such that minimum value is ay (0,0) and and max at
index (m-1,n-1)

Now when u swap a value

Then u heapify i.e. make the prior arrangement again but that in turn will
lead to few swaps and so on...(Recursive)

Do you think it will be possible this way ?

Please correct me in case I got things wrong here

regards
Ankur




On Wed, Jan 11, 2012 at 5:07 PM, atul anand <atul.87fri...@gmail.com> wrote:

> i have little doubt in complexity of proposed algo..
> aren't we including complexity of heapifying each time. ??
>
>
>
> On Wed, Jan 11, 2012 at 2:57 PM, Lucifer <sourabhd2...@gmail.com> wrote:
>
>> @dipit ..
>>
>> Yup you are correct..
>>
>> Say, no of rows = M and no. of cols = N,
>> Time complexity = sum over all i (1 to M} { N*(M+N-i) }
>>                         =  M * N * (M + 2N - 1) /2
>>
>>
>>
>> On Jan 11, 2:19 pm, Dipit Grover <dipitgro...@gmail.com> wrote:
>> > @Lucifer :  I came up with a similar algorithm as yours but I dont
>> > understand your complexity analysis : " sum over all i (1 to M} {
>> i*(M+N-i)} " .
>> >
>> > Shouldnt it be " M * sum over all i(1 to N) {(M+N-i)}  " ? M= no of
>> > columns, N= no of rows . Since we always have the min element at the 0th
>> > column of the next row for each element of the current row.
>>
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