Suppose we are given three pitchers of water, of sizes 10 quarts, 7 quarts, and 4 quarts. initially the 10-quart pitcher is full and the other two empty. we can pour water from one pitcher into another, pouring until the receiving pitcher is full or the pouring pitcher is empty. is there a way to pour among pitchers to obtain exactly 2 quarts in the 7- or 4-quart pitcher? if so, find a minimal sequence of pourings to get 2 quarts in the 7-quart or 4-quart pitcher