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Logic is at the heart of querying problems. SQL is logic, and each query problem in essence is a logic puzzle. The toughest part of solving a querying problem is usually guring out its logical aspects. You can improve your SQL problem-solving capabilities by practicing pure logic puzzles. A while back, I provided a couple of logic puzzles in my T-SQL column in SQL Server Magazine (www.sqlmag.com). I wanted to show the strong relationship between SQL and logic. Originally, I planned on providing only those couple of puzzles. But the puzzles raised so much interest with readers interestingly, even more than the T-SQL puzzles that for a while we published a new logic puzzle every month. I d like to thank SQL Server Magazine, which kindly allowed me to share the puzzles from my column with the book s readers. The puzzles you will see here are a compilation from my column. I d also like to thank Gabriel Ben-Gan, Dejan Sarka, Adi Dafni (Didi), Adam Machanic, Marcello Poletti (Marc), Clifford Jensen, Ron Talmage, and Nicolay Tchernitsky, who originally introduced some of the puzzles to me.

FROM (SELECT col1, COUNT(*) AS dups, (SELECT COUNT(*) FROM dbo.T1 AS B WHERE B.col1 < A.col1) AS smaller FROM dbo.T1 AS A GROUP BY col1) AS D, Nums WHERE n <= dups;

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One of the more confusing aspects of the sys.conversation_endpoints view is the conversation_ handle and conversation_id columns . Both of these are GUIDs that are used to identify a conversation . The conversation_handle is the handle used to address the dialog in T-SQL commands such as SEND or END CONVERSATION . Each endpoint has a different handle so that Service Broker knows which endpoint you are referring to in the command . For example, if both endpoints of a dialog are in the same database, the two endpoints are in the same view . In this case, they have to be different so that Service Broker knows whether you are sending a message from the initiator to the target or from the target to the initiator . The conversation_id is the same for both endpoints of the conversation . It is included in each message header so that Service Broker can determine which conversation a message belongs to .

The following section introduces logic puzzles. You can nd the puzzle solutions in the section that follows this one. Someone once said, A puzzle is its own reward. Enjoy!

Find the smallest integer (n) that yields a remainder of i 1 when divided by i, for any i in the range 2 through 10. That is, n % 2 = 1, n % 3 = 2, n % 4 = 3, . . ., n% 9 = 8, n % 10 = 9, in which the percent sign (%) signi es the T-SQL modulo operator.

There are several more columns in the sys.conversation_endpoints view, but I have covered the most interesting ones here . The rest of the columns are either security-related or useful only to Microsoft Customer Support Services (CSS) or the development team trying to isolate a problem .

col1 dups smaller n A A A B B C C C C C 3 3 3 2 2 5 5 5 5 5 0 0 0 3 3 5 5 5 5 5 1 2 3 1 2 1 2 3 4 5

Why are manhole (maintenance hole) covers typically round You might nd this a strange topic for a puzzle, but the answer lies purely in logic.

One of the more difficult aspects of writing asynchronous messaging applications is dealing with multiple applications or multiple threads receiving messages from a queue simultaneously To understand why this is an issue, think about a purchase order arriving in a message queue The purchase order is sent as multiple messages a header message, multiple order-line messages, and a footer message If multiple threads receive messages from the same purchase order, one or more order lines might be processed before the purchase order header These transactions would fail because the header isn t in the database yet Transactional messaging handles this situation because when the order-line transactions fail, the transaction rolls back and the message is put back on the queue However, it s possible for an order line to be processed multiple times before the header is present This is inefficient but manageable .

My wife and I were at a party recently with four other married couples. All the people who didn t know each other shook hands. Of course, each person knew his or her spouse. I asked each of the nine other people at the party how many hands they shook and received all possible answers ranging from 0 through 8. Each person shook a different number of hands. What was my wife s answer

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