2. Die Hard! (a) In the Die Hard question, imagine you have two jugs that have capacity of 3 and 7 (litres, gallons, hogsheads; it really doesn't matter). Find a way to obtain 1, 2, 3, 4, 5, and 6. (b) Now you have jugs with capacities 12 and 18 (once again, the units do not matter). Find a way to obtain 5. 3. (a) Find integers a and b for which 9a + 22b = 3. (b) Now repeat the Die Hard question with 9 and 22. Find a way to obtain 3