... Tiand intersecting Sis less than or equal to 2003. Consequently, the number of discs Dkthat intersect S is lessthan or equal to 2002 + 6 · 2003 = 7 · 2003 − 1. ... considered to be represented in base 10.) For example,for a = 2003, we get b = 3200, c = 10240000, and d = 02400001 = 2400001 = d (2003) .Find all numbers a for which d(a) = a2.N3. Determine ... Suppose that every point in the plane is contained inat most 2003 discs Di. Prove that there exists a disc Dkwhich intersects at most 7 2003 −1other discs Di.Solution. Pick a disc S with the...