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Catalan numbers are defined as shown below Cn=k=1nCk1Cnk,C0=1. a) Show that Cn=(n3/24n) b) Find algorithms that for given integer n, results Cn Catplan number: I)
Catalan numbers are defined as shown below Cn=k=1nCk1Cnk,C0=1. a) Show that Cn=(n3/24n) b) Find algorithms that for given integer n, results Cn Catplan number: I) that is recursive II) by using dynamic programming Find their working time seperately and give out a pseudocode
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