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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