The elimination play is well-known in bridge, and I am pleased to announce a new opportunity that will eliminate taxes. Simply transfer your funds to PavCo Cayman Bank, and you too can tell the IRS (Internal Retard Society) to take a hike! Numbered accounts are now available for a very small fee, and there are no credit checks! (We dont extend credit, so who really cares?) If you got the dough, we got the know, and your profits will grow with no income to show. To get started, just solve this easy puzzle!
Welcome to the islands! As a special introductory offer, PavCo Cayman Bank will increase your initial deposit* by whatever you can win in a hypothetical round of Chicago (four-deal) bridge at $1.00 a point with your side declaring each deal.
*minimum deposit $100K in cash, gold bullion, ivory tusks or eagle feathers
On the four deals you are allowed two doubled (X) and two redoubled (R) contracts as shown. Enter each contract level and strain (e.g., 6S) and number of tricks won (7-13) trying to win the most money you can! Ah, but theres a catch: Each level, strain, tricks won and score must be unique (i.e., no two alike). Your goal is to win at least $5000, and you cannot claim honors (PavCo and honor do not mesh).
This puzzle contest, designated May 2018 for reference, was open for over a year. Participants were limited to one try, unlike my usual contests that allowed entries to be revised with only the latest one counting. There were 49 correct solutions (scoring over 5000 points) of which 15 achieved the optimal score of 7040.
Congratulations to Duncan Bell, who was the first to submit the optimal score. In fact, Duncans entry topped what I thought was the best possible score, and when the Bell tolls, I listen. Sure enough, there was a bug in my computer code for an exhaustive search. Duncan has an impressive list of previous wins including The Twelve of Spades, Just Another Zero, High Stakes Rubber and Bridge with the Abbott.
Ties in the ranking are broken by date and time of entry.
The best possible score is 7040, found by 15 solvers. Our token Texan taxpayer explained it best, so Ill save myself some effort:
Dan Baker: 3 ×(10) 570, 2 ××(11) 1240, 7 ×(13) 2470, 1 NT××(12) 2760. The vulnerable grand slam bonus is too good to pass up; otherwise we want maximum overtricks on the redoubled contracts, particularly on the vulnerable one. Its slightly better to have notrump as a redoubled contract (to get 160 instead of 120 for the first trick), and 2 ××/3 × combine for 360 in trick scores, while 2 ××/3 × is only 340. The tricky part is whether #1 should be a small slam or continue to go for maximum overtricks; the NV small slam bonus is 500 and three additional doubled tricks is another 120, but dropping an overtrick on each of the others costs a total of 700.
Tina Denlee: To obtain the maximum score I found two solutions: A. 3 ×(10) 570, 2 ××(11) 1240, 7 ×(13) 2470, 1 NT××(12) 2760; B. 3 ×(10) 570, 2 NT××(11) 1280, 7 ×(13) 2470, 1 ××(12) 2720. Of course you can exchange and , or and , but nothing else works.
Charles Blair: I didnt have the energy to write a program for this. I hope Im close.
Venk Natarajan: Exhaustive search is something, but I bet I have a bug somewhere in my code.
Finding the 7040 score, Ill bet not. Seems the bug belonged to me.
Nicholas Greer: When I clicked Verify, the scores didnt count honours, which I thought counted in Chicago. I know you could argue that it would give everyone an extra 600, but traditionally you have to remember to claim them
When everything else fails, read the directions. But even without directions, you should know theres no honor in my business; and if I move across the pond, no honour either.
Eric Gettleman: Thanks for the fun puzzle.
Robin Hillyard: Thanks, Richard. Much fun!
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