Unable to understand the problem

with size of each block as [i∗K+1,min((i+1)∗k,N)] for 0≤i≤N/K.
can you please explain me the meaning of this line …
i mean how is size of each block defined here?? what is the meaning of [ i∗K+1 , min( ( i+1 ) ∗ k, N ) ] for 0≤i≤N/K