8. Another way to say, “ The cat has claws and the dog doesn't bark" is "It is not true that if the cat has claws then the dog barks."
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- A proposition Q follows from a proposition P, if Q is never false when P is true. Suppose we want to check this in a particular case. Which of the following is correct? Select one: a. We need to check that whenever P is false, Q is also false. b. We need to check that whenever Q is false, P is also false. c. We need to check that whenever Q is true, P is also true. d. We need to check that Q is true when P is true, and that Q is false when P is false.5 A. Let * be a new logical connective such that p * q does not hold if and only if p and q are either both false or both true. (i) Write down the truth table for p * q (ii) Write down the truth table for (p * p) * (q * q). (iii) Does the table in (b) coincide with a table in *Truth table available on the given image* (By "Coincide" we mean that the respective columns of T and F values are the same) B. Construct a formula in CNF based on each of the following truth tables: *Truth table available on the given image* C. Compute CNF (NNF ( IMPL_FREE ¬(p → ( ¬ (q ∧ ( ¬p → q))))))2022-02-14 20:52:35 Write the primitive counting results for your 40 sheep: 40= For example, the answer for "14" would be (1,1,1,0), meaning that the first division of sheep had none left over, but every other division of sheep had a leftover sheep. Include the commas and the parentheses in your answer.
- (1) Complete the truth table and determine whether or not ∼(p∨q)≡∼p∧∼q p q p∨q ∼(p∨q) ∼p ∼q ∼p∧∼q T T T F F T F F (2) Are the two statement equivalent? A. Yes, the columns are identical. B. No, the rows are not identical. C. No, the columns are not identical. D. Yes, the rows are identical.i need answer of all. if any answer will be skipped, your answer will be rejected. only complete answer will be accepted. b) Make a truth table for the statement ¬P ∧ (Q → P). What can youconclude about P and Q if you know the statement is true? a) Make a truth table for the statement (P ∨ Q) → (P ∧ Q). c) Make a truth table for the statement ¬P → (Q ∧ R).By using chapter 2 & 3 only
- Use following series to do the given task; 135 79 11 13 15 1719 21 23 25 27 29 31 ... Given the number N of odd numbers in a certain line, your task is to determine the sum of the last three numbers of that line. For example N = 5 means, the third line, the last three numbers are 13, 15 and 17. The summation of these three numbers is 45. InputThe first line tells the number of test cases. From the next line, the input is a sequence of lines, one odd number N (1 < N <1000000000) per line. OutputFor each input line write the sum of the last three odd numbers written in that line of series with N numbers.Count consecutive summers def count_consecutive_summers(n): Like a majestic wild horse waiting for the rugged hero to tame it, positive integers can be broken down as sums of consecutive positive integers in various ways. For example, the integer 42 often used as placeholder in this kind of discussions can be broken down into such a sum in four different ways: (a) 3 + 4 + 5 + 6 + 7 + 8 + 9, (b) 9 + 10 + 11 + 12, (c) 13 + 14 + 15 and (d) 42. As the last solution (d) shows, any positive integer can always be trivially expressed as a singleton sum that consists of that integer alone. Given a positive integer n, determine how many different ways it can be expressed as a sum of consecutive positive integers, and return that count. The number of ways that a positive integer n can be represented as a sum of consecutive integers is called its politeness, and can also be computed by tallying up the number of odd divisors of that number. However, note that the linked Wikipedia de0inition…Please explain Crime Wave more clearly for me please there's a picture of the decription and also please comment on each line if possible on the code below to for me to have a better understanding of what each line is doing. It is in C++. Please also give the space and time complexity and the reason why. #include <stdio.h>#include <string.h>#include <math.h>#define eps 1e-6double W[105][105];int N, M;int mx[105], my[105]; // match arrdouble lx[105], ly[105]; // label arrint x[105], y[105]; // used arrint hungary(int nd) { int i; x[nd] = 1; for(i = 1; i <= M; i++) { if(y[i] == 0 && fabs(W[nd][i]-lx[nd]-ly[i]) < eps) { y[i] = 1; if(my[i] == 0 || hungary(my[i])) { my[i] = nd; return 1; } } } return 0;}double KM() { int i, j, k; double d; memset(mx, 0, sizeof(mx)); memset(my, 0, sizeof(my)); memset(lx, 0, sizeof(lx)); memset(ly, 0, sizeof(ly));…
- Correct answer will be upvoted else downvoted. Computer science. Polycarp recalled the 2020-th year, and he is content with the appearance of the new 2021-th year. To recall such a great second, Polycarp needs to address the number n as the amount of a specific number of 2020 and a specific number of 2021. For instance, if: n=4041, then, at that point, the number n can be addressed as the total 2020+2021; n=4042, then, at that point, the number n can be addressed as the total 2021+2021; n=8081, then, at that point, the number n can be addressed as the total 2020+2020+2020+2021; n=8079, then, at that point, the number n can't be addressed as the amount of the numbers 2020 and 2021. Assist Polycarp with seeing if the number n can be addressed as the amount of a specific number of numbers 2020 and a specific number of numbers 2021. Input The primary line contains one integer t (1≤t≤104) — the number of experiments. Then, at that point, t experiments follow.…Count consecutive summers def count_consecutive_summers(n): Like a majestic wild horse waiting for someone to come and tame it, positive integers can be broken down as sums of consecutive positive integers in various ways. For example, the integer 42 often used as placeholder in this kind of discussions can be broken down into such a sum in four different ways: (a) 3 + 4 + 5 + 6 + 7 + 8 + 9, (b) 9 + 10 + 11 + 12, (c) 13 + 14 + 15 and (d) 42. As the last solution (d) shows, any positive integer can always be trivially expressed as a singleton sum that consists of that integer alone. Given a positive integer n, determine how many different ways it can be expressed as a sum of consecutive positive integers, and return that count. The count of how many different ways a positive integer n can be represented as a sum of consecutive integers is also called its politeness, and can be alternatively computed by counting how many odd divisors that number has. However, note that the linked…Correct answer will be upvoted else downvoted. Computer science. Positive integer x is called divisor of positive integer y, in case y is distinguishable by x without remaining portion. For instance, 1 is a divisor of 7 and 3 isn't divisor of 8. We gave you an integer d and requested that you track down the littlest positive integer a, to such an extent that a has no less than 4 divisors; contrast between any two divisors of an is essentially d. Input The primary line contains a solitary integer t (1≤t≤3000) — the number of experiments. The primary line of each experiment contains a solitary integer d (1≤d≤10000). Output For each experiment print one integer a — the response for this experiment.