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z i ( x i , y i ) = z i − 1 ( x i , y i ) + 1 {\displaystyle z_{i}(x_{i},y_{i})=z_{i-1}(x_{i},y_{i})+1} and z i ( x , y ) = z i − 1 ( x , y ) {\displaystyle z_{i}(x,y)=z_{i-1}(x,y)} for all ( x , y ) ≠ ( x i , y i ) {\displaystyle (x,y)\neq (x_{i},y_{i})}.