Pail Challenge II -- minor corrections 070125 Oakland and Novato, CA, (c) 2006-7 by W. Bloch A monk sat on the beach contemplating the mind of God. Nearby, he saw a little boy with a pail digging in the sand. After the boy had dug a hole, he ran down to the ocean, filled his pail, ran back, and poured the water into his hole in the sand. “What are you doing?” asked the monk. “I’m going to pour the ocean into the hole,” answered the boy. “That you cannot do,” said the monk with a smile. “Nor can you understand the mind of God,” said the boy. 0. Dedication Respectfully dedicated to A. Hamburgarius, the most beautiful girl in the world. 1. Introduction Remember those old chestnuts like, "You are given a 7-quart and a 9-quart pail; return from the well with exactly one quart"? PC.I posed these challenges: 1.1) For pails holding a >= b, respectively, give the set Z in terms of a and b of all possible returns from the well (the Special Pail Theory). 1.2) Design a parametrized