Several problems in Cody deal with the practical problem of checking whether parentheses are correctly matched (e.g., 80, 465, 1303, 2653). In this problem you are asked to count the ways a given number of pairs of parentheses can be matched correctly in an expression. For example, three pairs can be matched in five ways:
()()(), (())(), (()()), ((())), ()(())
Write a function that takes the number of pairs and determines the number of ways the parentheses can be matched correctly.
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