Before revision:  We show that  one can correctly deduce the color of all the points (i.e., compute a monochromatic clustering of the points) using a polylogarithmic number of queries , if the number of clusters is a constant .
After revision:  We show that if the number of clusters is a constant, then one can correctly deduce the color of all the points (i.e., compute a monochromatic clustering of the points) using a polylogarithmic number of queries , if the number of clusters is a constant .