A set S of numbers is partially sorted into k groups S1..Sk if every element of S is in exactly one subgroup, and every element of Si is less than or equal to every element in Si 1. Devise an efficient algorithm for partially sorting S into k groups, and analyze its running time. This problem can be solved in O(nlogk) time. For convenience, you may assume k is a power of 2.

What do the principles of notice, choice, onward transfer, and access closely apply to? a. privacyb. identificationc. retentiond. classification

Show that there is a language a ⚆ {0, 1} â— with the following properties: 1. for all x â a, |x| ≤ 5. 2. no dfa with fewer than 9 states recognizes a. hint: you don’t have to define a explicitly; just show that it has to exist. count the number of languages satisfying (1) and the number of dfas satisfying (2), and argue that there aren’t enough dfas to recognize all those languages. to count the number of languages satisfying (1), think about writing down all the strings of length at most 5, and then to define such a language, you have to make a binary decision for each string about whether to include it in the language or not. how many ways are there to make these choices? to count the number of dfas satisfying (2), consider that a dfa behaves identically even if you rename all the states, so you can assume without loss of generality that any dfa with k states has the state set {q1, q2, . . , qk}. now think about how to count how many ways there are to choose the other four parts of the dfa.

Which tab is used to change the theme of a photo album slide show? a. design b. view c. transitions d. home