just try to make first row and first  column zero with minimum no of moves.
after they have become zero , check in matrix for any remaining on state. it
there is on state , then it is impossible else , that you have done it.

On Tue, Jan 4, 2011 at 4:40 PM, Ankur Khurana <[email protected]>wrote:

> it's exactly the same question as Buttons on codechef. search this forum ,
> it have been discussed before
>
>
> On Tue, Jan 4, 2011 at 4:13 PM, bittu <[email protected]> wrote:
>
>> There is a lock which is an N by N grid of switches. Each switch can
>> be in one of two states (on/off). The lock is unlocked if all the
>> switches are on. The lock is built in such a way that, if you toggle
>> some switch, all the switches in its row and its column toggle too
>>
>> Give an algorithm which, given N and a configuration of the N^2
>> switches, will tell you whether the lock can be unlocked by a sequence
>> of switch toggles
>>
>> Note 1: Can be done in O(N^2) time and O(1) space.
>> Note 2: You just need to tell if a sequence which unlocks the lock
>> exists (and not the actual sequence)
>>
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