Prove the following asymptotic bounds. 1 + 2 + ··· +n ∈ Ω(n2
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Prove the following asymptotic bounds.
1 + 2 + ··· +n ∈ Ω(n2
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- Question 13 su . Full explain this question and text typing work only We should answer our question within 2 hours takes more time then we will reduce Rating Dont ignore this line Let n=p*q where p and q are two large secret primes. Give b and n, finding x such that ×^2 = b mod n is a hard problem True FalseCorrect answer will be upvoted else Multiple Downvoted. Computer science. above, Polycarp might have made the accompanying voyages (not every conceivable choice): 2→5→1→2→5; 3→6→2; 1→3→6→2→5. Polycarp needs for each beginning city I to discover how close he can get to the capital. All the more officially: he needs to track down the insignificant worth of dj that Polycarp can get from the city I to the city j as indicated by the standards portrayed previously. Input The primary line contains one integer t (1≤t≤104) — the number of experiments. Then, at that point, t experiments follow. Each experiment is gone before by a vacant line. The main line of each experiment contains two integers n (2≤n≤2⋅105) and m (1≤m≤2⋅105) — number of urban areas and streets, individually. This is trailed by m lines portraying the streets. Every street is characterized by two integers u and v (1≤u,v≤n,u≠v) — the numbers of urban areas associated by a single direction street.…Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. Ksenia has an exhibit a comprising of n positive integers a1,a2,… ,an. In one activity she can do the accompanying: pick three particular records I, j, k, and afterward change all of ai,aj,ak to ai⊕aj⊕ak all the while, where ⊕ means the bitwise XOR activity. She needs to make all computer based intelligence equivalent in at most n activities, or to establish that it is difficult to do as such. She wouldn't request your assistance, yet kindly, help her! Input The principal line contains one integer n (3≤n≤105) — the length of a. The subsequent line contains n integers, a1,a2,… ,an (1≤ai≤109) — components of a. Output Print YES or NO in the principal line contingent upon whether it is feasible to make all components equivalent in at most n tasks. In case it is conceivable, print an integer m (0≤m≤n), which means the number of activities you do. In every…
- Would you be able to help me with this issue? I'm finding it challenging to grasp and would appreciate some direction. Could you please offer a detailed, step-by-step explanation to assist me in understanding it better?question that I need help:4.8 Let T = {(i, j, k)| i, j, k ∈ N }. Show that T is countable.Question 6 Full explain this question and as per godlines all part work a abd b solution sent meQuestion 13 gulab .f(x)=-2log_(3)(4+x)-4 tate the domain of f using interval. retch f(x), Label all asymptotes, inter Full explain this question and text typing work only We should answer our question within 2 hours takes more time then we will reduce Rating Dont ignore this line
- Prove or disprove the following statements, using the relationship among typical growth-rate functions. a) n! is O(4^n) b) n^22 log n + n^7 is Ω(n^6 log n) c) n^9 + 8000n^7 is Ω(n^16) PLEASE SOLVE ALL. PLEASEEEEE. I SOLVED THESE, BUT I'M NOT SURE ABOUT MY ANSWER, ESP a) and b)Question 15 pap Suppose we have a Monte Carlo algorithm, A, and a deterministic algorithm, B, for testing if the output of A is correct. How can we use A and B to construct a Las Vegas algorithm? Also, if A succeeds with probability ½ and both A and B run O(n) time, what is the expected running time of the Las Vegas algorithm that is produced? Full explain this question and text typing work only We should answer our question within 2 hours takes more time then we will reduce Rating Dont ignore this linePlease explain Why do computer scientists typically rely on ’worse-case’ analysis? Group of answer choices a. It allows us to be more conservative and when using the upper-bounds in terms of time complexity. This is a 'safer' way for us to determine if the performance is fast enough. b. No other analysis exist or have been invented yet. c. Most of the famous computer scientists use worse-case analysis, so every one just copies what they have done previously.
- Imagine you are an avid movie goer and you prepared a list of n movies you are considering watching. As a thorough researcher, you prepared a list of k friends, whose movie advice you trust. For each movie, you are debating whether to either see it or speak to all of your friends and hear their recommendations. A more efficient approach is to choose between watching the movie and speaking with at least one trusted movie recommender friend. This approach will take a total of t hours. Prove that the problem is NP-hard.2) (L2) Prove using laws of logic that the conditional proposition (p ∧ q) → r is equivalent to (p ∧ ¬ r) →¬ q. 3) (L3) Show that the converse of a conditional proposition p: q → r is equivalent to the inverse of proposition p using a truth table. 4.1) (L4) Show whether ((p ∧ (p→q)) ↔ ¬p) is a tautology or not. Use a truth table and be specific about which row(s)/column(s) of the truth table justify your answer. 4.2) (L4) Give truth values for the propositional variables that cause the two expressions to have different truth values. For example, given p ∨ q and p ⊕ q, the correct answer would be p = q = T, because when p and q are both true, p ∨ q is true but p ⊕ q is false. Note that there may be more than one correct answer. r ∧ (p ∨ q) (r ∧ p) ∨ qq1) Prove the following statement by induction. For all nonnegative integers n, 3 divides n^3 +5n +3. State the mathematical induction and show your work clearly. q2)Students are required to create 5 or 6-character long passwords to access the library. The letters must be from lowercase letters or digits. Each password must contain at most two lowercase letters and contains no repeated digits. How many valid passwords are there? You are required to show your work step-by-step