Suppose you have an admissible h. Are h² and h1/² admissible or not and why? Would using any of these alternatives be better or worse than using h in the A algorithm?
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- 7. For n 2 1, in how many out of the n! permutations T = (T(1), 7(2),..., 7 (n)) of the numbers {1, 2, ..., n} the value of 7(i) is either i – 1, or i, or i +1 for all 1 < i < n? Example: The permutation (21354) follows the rules while the permutation (21534) does not because 7(3) = 5. Hint: Find the answer for small n by checking all the permutations and then find the recursive formula depending on the possible values for 1(n).Running Time Analysis: Give the tightest possible upper bound for the worst case running time for each of the following in terms of N. You MUST choose your answer from the following (not given in any particular order), each of which could be reused (could be the answer for more than one of a) – f)): O(N2), O(N3 log N), O(N log N), O(N), O(N2 log N), O(N5), O(2N), O(N3), O(log N), O(1), O(N4), O(NN), O(N6)Correct answer will be upvoted else downvoted. you can choose any substring of a containing exactly k characters 1 (and arbitrary number of characters 0) and reverse it. Formally, if a=a1a2…an, you can choose any integers l and r (1≤l≤r≤n) such that there are exactly k ones among characters al,al+1,…,ar, and set a to a1a2…al−1arar−1…alar+1ar+2…an. Find a way to make a equal to b using at most 4n reversals of the above kind, or determine that such a way doesn't exist. The number of reversals doesn't have to be minimized. Input Each test contains multiple test cases. The first line contains the number of test cases t (1≤t≤2000). Description of the test cases follows. Each test case consists of three lines. The first line of each test case contains two integers n and k (1≤n≤2000; 0≤k≤n). The second line contains string a of length n. The third line contains string b of the same length. Both strings consist of characters 0 and 1. It is guaranteed that the sum of n over all…
- Use & for •, v for V, > for Ɔ, and = for = What can you derive by applying De Morgan's (DM) to this formula: ~(N • E) Ɔ G (N v E) > G O (-N v -E) > G O (N & E) v G O (N & E) v G O (N v E) > G O (N & E) > GCorrect answer will be upvoted else downvoted. Computer science. way from block u to obstruct v is a grouping u=x0→x1→x2→⋯→xk=v, where there is a street from block xi−1 to hinder xi for each 1≤i≤k. The length of a way is the amount of lengths over all streets in the way. Two ways x0→x1→⋯→xk and y0→y1→⋯→yl are unique, if k≠l or xi≠yi for some 0≤i≤min{k,l}. Subsequent to moving to another city, Homer just recalls the two exceptional numbers L and R yet fails to remember the numbers n and m of squares and streets, separately, and how squares are associated by streets. Be that as it may, he accepts the number of squares ought to be no bigger than 32 (in light of the fact that the city was little). As the dearest companion of Homer, if it's not too much trouble, let him know whether it is feasible to see as a (L,R)- constant city or not. Input The single line contains two integers L and R (1≤L≤R≤106). Output In case it is difficult to track down a (L,R)- consistent city…Q: Make a complexity analysis of string matching algorithms and identify which one performs efficiently in worst case. Also justify your answer. Note: this question is related from analysis of algorithms subject kindly solved it correctly .
- Which type of best first search algorithm was used to predict the closeness of the end of path and its solution? a) Greedy BFS b) Divide and Conquer c) Heuristic BFS d) CombinatorialRunning Time Analysis: Give the tightest possible upper bound for the worstcase running time for each of the following in terms of N. You MUST choose youranswer from the following (not given in any particular order), each of which could be reused (could be the answer for more than one of a) – f)):O(N2), O(N½)O(N3 log N), O(N log N), O(N), O(N2 log N), O(N5), O(2N), O(N3),O(log N), O(1), O(N4), O(N12)O(NN), O(N6), O(N8), O(N9)**For any credit, you must explain your answer. Assume that the most time-efficientimplementation is used. Assume no duplicate values and that you can implement theoperation as a member function of the class – with access to the underlying data structure. a) Pop a value off a stack containing N elements implemented as an array.Explanation: b) Printing out all the odd values stored in a binary search tree containing N positiveintegers in ascending order. Explanation: c) Finding the minimum value in a binary search tree of size N. Explanation:Correct answer will be upvoted else downvoted. Computer science. pair of positive integers (a,b) is called uncommon if ⌊ab⌋=amodb. Here, ⌊ab⌋ is the consequence of the integer division among an and b, while amodb is its remaining portion. You are given two integers x and y. Track down the number of uncommon sets (a,b) to such an extent that 1≤a≤x and 1≤b≤y. Input The main line contains a solitary integer t (1≤t≤100) — the number of experiments. The main line of the depiction of each experiment contains two integers x, y (1≤x,y≤109). Output For each experiment print the appropriate response on a solitary line.
- Correct answer will upvoted else downvoted. playing a game on a round board with n (2≤n≤106) cells. The cells are numbered from 1 to n so that for every I (1≤i≤n−1) cell I is contiguous cell i+1 and cell 1 is nearby cell n. At first, every cell is unfilled. Omkar and Akmar alternate setting either An or a B on the board, with Akmar going first. The letter should be set on a vacant cell. What's more, the letter can't be put nearby a cell containing a similar letter. A player loses when it is their move and there are not any more substantial moves. Output the number of conceivable particular games where the two players play ideally modulo 109+7. Note that we just consider games where some player has lost and there are not any more substantial moves. Two games are considered unmistakable if the number of turns is unique or for some turn, the letter or cell number that the letter is put on were unique. A move is considered ideal if the move amplifies the player's shot at…Consider A* with h(n) = 0, answer the following: 1. What's the name of the resulting algorithm, that results from setting h(n) = 0 in A*? 2. Is this heuristic admissible, why? 3. Is the resulting algorithm complete? 4. Is the resulting algorithm optimal? 5. Generally speaking, what are the disadvantages of A*? hereAs an investor, I always check the stock market in order to find good companies to invest in. Recently, I found that the best companies to invest in, are the ones that have largest sum formed by a strictly increasing set of numbers (a set where the next element is always greater than the current element). But before I invest, I need to know the position of the first element of the consecutive increasing numbers. Help me so we can start investing already! Note: If it is already the last element of the row in the array, the next element is the first element of the next row, if there exists a next row. Input 1. Number of rows Description This is the number of rows of the multidimensional array. 2. Number of columns Description This is the number of columns of the multidimensional array. 3. Elements of the multidimensional array Output The first line will contain a message prompt to input the number of rows. The second line will contain a message prompt to input the…