Please type so I can copy paste*** Exercise 1.6.2: Truth values for quantified statements about integers. In this problem, the domain is the set of all integers. Which statements are true? If an existential statement is true, give an example. If a universal statement is false, give a counterexample. (d) ∀x (x2 − x ≠ 0) (e) ∀x (x2 > 0)
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In this problem, the domain is the set of all integers. Which statements are true? If an existential statement is true, give an example. If a universal statement is false, give a counterexample.
∀x (x2 − x ≠ 0)
∀x (x2 > 0)
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- can you please fix the AssertionError in this: (please don't use try and except or break/continue or recursion) def long_new(s: str) -> str: longest_string = 0longest_substring = s[0]i = 0inputs = {s[i]: i}j = i + 1while j < len(s):while j < len(s) and (inputs.get(s[j], -1) == -1):inputs[s[j]] = jj = j + 1if j - 1 > longest_string:longest_string = j - ilongest_substring = s[i:j]if j >= len(s):return longest_substringi = inputs[s[j]] + 1inputs = {}j = i + 1if j - i > longest_string:longest_string = j - ilongest_substring = s[i:j]return longest_substring print(long_new(aab)) The print statement should print 'ab'please answer question #33. please use (Algorithm 5.7) for the Backtracking Algorithm for the 0-1 Knapsack Problem please use java language for coding java file - should start java file with YOUR Last Name, Like SmithClubApp, PetrowskiTravelLogApp, for your class short paragraph should include- please answer these questions in the correct order -description of the java file -what it does? -what is the input data? expected output, samples of bothCorrect answer will be upvoted else downvoted. Computer science. Presently Nezzar has a beatmap of n particular focuses A1,A2,… ,An. Nezzar might want to reorder these n focuses so the subsequent beatmap is great. Officially, you are needed to find a change p1,p2,… ,pn of integers from 1 to n, to such an extent that beatmap Ap1,Ap2,… ,Apn is great. In case it is unthinkable, you ought to decide it. Input The primary line contains a solitary integer n (3≤n≤5000). Then, at that point, n lines follow, I-th of them contains two integers xi, yi (−109≤xi,yi≤109) — directions of point Ai. It is ensured that all focuses are unmistakable. Output In case there is no arrangement, print −1. In any case, print n integers, addressing a legitimate change p. In case there are numerous potential replies, you can print any.
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- Please help me Josephus Problem is a theoretical problem related to a certain counting-out game. On thiscase, people are standing in a circle waiting to be executed. After a specified number ofpeople are skipped, the next person is executed. The procedure is repeated with theremaining people, starting with the next person, going in the same direction and skippingthe same number of people, until one person remains, and is freed.Arrange the numbers 1 , 2, 3 , ... consecutively (say, clockwise) in a circle. Now removenumber 2 and proceed clockwise by removing every other number, among those thatremain, until one number is left. (a) Let denote the final number which remains. Find formula for .(b) If there are 70 people, what is the safe number (the number that remains)?Answer in C++, show example output please There are three buckets size X, Y, M (1<=X<=Y<=M). All three buckets are initiallyempty. Using these three buckets, we can perform any number of the following twotypes of operations. We can fill the smallest bucket (of size X) completely to the top with X units of water andpour it into the size-M bucket, as long as this will not cause the size-M bucket tooverflow. We can fill the medium bucket (of size Y) completely to the top with Y units of water andpour it into the size-M bucket, as long as this will not cause the size-M bucket tooverflow. Although we may not be able to completely fill the size-M bucket, but we can stilldetermine the maximum amount of milk we can possibly add to largest bucket. Sample input:17 25 77 Sample output:76 In this example, we fill the bucket of size 17 three times and then bucket of size 25once, accumulating a total of 76 units of water. You could use additional test case to test your program:Input: 52 791…This assignment is meant to give an alternative viewpoint to counting that is throughthe programming lens.1. Consider the python code below:Numbers = [1, 2, 3, 4, 5, 6]Counter = 0for i in Numbers: for j in Numbers: for k in Numbers: print (i, j, k) Counter = Counter + 1 print(Counter) (a) What is the above code counting? (Permutations/combinations with/withoutrepetition)(b) If Numbers has nentries, give a closed formula for the number of objects beingcounted.
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