Let \(\mathbb Z_{\ge 0}\) be the set of non-negative integers, and let \(f:\mathbb Z_{\ge 0}\times \mathbb Z_{\ge 0} \to \mathbb Z_{\ge 0}\) be a bijection such that whenever \(f(x_1,y_1) > f(x_2, y_2)\), we have

\[f(x_1+1, y_1) > f(x_2 + 1, y_2)\;\;\text{and}\;\;f(x_1, y_1+1) > f(x_2, y_2+1).\]

Let \(N\) be the number of pairs of integers \((x,y)\) with \(0\le x,y<100\), such that \(f(x,y)\) is odd. Find the smallest and largest possible values of \(N\).