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The function appears correct at first sight. However, it works only for strings with an odd number of characters and strings with an even length that are not palindromes. In particular, the program raises an exception with the "abba" string as input. We ll show how to use the Visual Studio debugger to figure out the problem with this simple function. The algorithm recursively tests the characters of the string pair-wise at the beginning and at the end of the string because a string is a palindrome if the first and last characters are equal and the substring obtained by removing them is a palindrome too. The s and e variables define the boundaries of the string to be tested and initially refer to the first and last characters of the input string. Recursion terminates when the outermost characters of the string to be tested differ or when you have tested the whole string and the indexes collide. Figure 18-1 shows the debugging session of the simple program. You set a breakpoint at the instruction that prints the result of the isPalindrome function for the "abba" string by clicking where the red circle is shown, which indicates the location of the breakpoint. When the program is started in debug mode, its execution stops at the breakpoint, and you can step through the statements. The current instruction is indicated by the yellow arrow, and the current statement is highlighted, as shown in Figure 18-1.

Figure 18-1. The Visual Studio debugger The state of the program is accessible through a number of windows showing different aspects of the running program, usually docked at the bottom of the debugging window. It is possible, for instance, to inspect the state of the local variables of the current method (the Locals window showing the local variables and arguments, e and s in this example) or the state of the call stack to see the sequence of method calls (the Call Stack window). An important window is the Watch view, which can be used to write variable names and simple expressions and watch them change during the execution. It is also possible to evaluate expressions in the Immediate

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Microsoft Office Excel 2003 can display at most 65,536 data records or 256 data fields on a single worksheet (Excel 2007 supports 1 million data records and 16,000 data fields on a single worksheet) What happens if your data exceeds any of these limits You have a few options, specifically the following: You could break up the data into a set of smaller data tables, although this approach could be very difficult to set up and maintain in Excel Also, multiple data crossreference operations could be a big drain on your computer s resources You could use Microsoft Office Access 2007 or Access 2003 to store and manage your data, although with Access 2007 and 2003 you are still limited to 255 data fields in a single table.

window and invoke methods, as shown in Figure 18-1, where the simple expressions e and s are used. More views are available through the Debug menu, including the state of executing threads and the memory. In this simple example, you are examining why isPalindrome misbehaves for an input string of even length. As shown in Figure 18-1, the Watch window has been used to monitor the s and e variables intended to define the bounds of the substring that has still to be checked; in this case, the two indexes cross without ever becoming equal, which is the criteria used to successfully stop the recursion. This happens when s has value 2 and e has value 1 in the example. The symptom of the misbehavior of the function is that an exception is thrown; this is frequently where debugging starts. In this example, the exception would have been thrown a few steps forward when e gets value -1, which is an invalid index for accessing a character in a string. If we used str[e] as the watch expression or in the Immediate window, the problem would appear rather evident. Now that we have found the bug, we can fix it by extending the test from s = e to s >= e to ensure that even if the end index becomes smaller than the starting one, we deal the situation appropriately.

mayContain: apple-service-location mayContain: apple-service-port mayContain: apple-service-url mayContain: ipHostNumber mustContain: apple-service-type

Note In Visual Studio and other Microsoft .NET debugging tools, the debugger expressions follow the C#

syntax, and arrays do not require the dot before the square braces. The most noticeable differences between C# and F# expression syntax are that access to arrays uses [] rather than .[] and the equality operator is == rather than =.

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