A Moving to another question will save this response. Question 7 Given that F(A,B,C) = E(0,1,4,5,6), which of the following correctly describes F'? a. F' = E (1, 4, 6, 7) b. F' = T (2, 3, 7) c. F' = T (0, 1, 4, 5, 7) d.F=Σ (2, 3, ) O a. a O b.b OC.C O d.d
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- Question 2 (a). Using the string T = “EVERY GOOD BOY DESERVES FAVOUR", find the following: (i). SUBSTRING(T,24,6)//" “I/ SUBSTRING(T,7,8)//SUBSTRING(T,18,1) (ii). LENGTH(T).Assume that sentence is a variable that has been associated with a string consisting of words separated by single space characters with a period at the end. For example: "This is a possible value of sentence."in C Write aprogram that simulates multiple contractors who are making bids to contracts with the city council.In the simulation, there are at least four bidderswho bid based on the pricing below: Bidders 1 & 2 bid lower prices based on a uniform value from the range [1-7], inclusive. •The last two bidders bid higher prices based on a uniform value from the range [3-10], inclusive. •All other biddersbid prices based ona uniform value in the range [1-10], inclusive.
- Tell if the statements are true or false. Let p: 2 + 1 = 3; q: 16 − 9 = 7. (a) ~p ∨ q TrueFalse (b) ~p ∧ ~q TrueFalse (c) ~(p ∧ q) TrueFalseConway's Game of Life: This is a zero person game with the following rules: (see Wikipedia for example) Any live cell with fewer than two live neighbours dies, as if by underpopulation. Any live cell with two or three live neighbours lives on to the next generation. Any live cell with more than three live neighbours dies, as if by overpopulation. Any dead cell with exactly three live neighbours becomes a live cell, as if by reproduction. Remember the oscillator or blinker of 3 cells. You can also find this blinker on Wikipedia. 1 21 1 2 1 21 3. 4 6 4. 6. 4 8. 9 8 9 #1 #2. #3 5. Consider now these 3 creatures at stage 1: Show how they look like in the next two stages: stage 2 and stage 3. Explain how you get the answers Creature 1 Creature 2 Creature 3 (here creature 1 is the blinker of 3 cells, horizontally; creature 2 consists of two adjacent cells, creature 3 consists of 4 adjacent cells horiztonally) ww (d) Creature 1 (10%), (e) Creature 2 (8%), (f) Creature 3 (20%)There are a set of courses, each of them requiring a set of disjoint time intervals. For example, a course could require the time from 9am to 11am and 2pm to 3pm and 4pm to 5pm. You want to know, given a number K, if it’s possible to take at least K courses. You can only take one course at any single point in time (i.e. any two courses you choose can’t overlap). Show that the problem is NP-complete, which means that choosing courses is indeed a difficult thing in our life. Use a reduction from the Independent set problem.
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- Mastermind is a code-breaking game for two players. In the original real-world game, one player A selects 4 pegs out of 6 colors and puts them in a certain fixed order; multiples of colors are possible (for example, red-green red-green). His opponent B does not know the colors or order but has to find out the secret code. To do so, B makes a series of guesses, each evaluated by the first player. A guess consists of an ordered set of colors which B believes is the code. The first player A evaluates the guess and feeds back to B how many positions and colors are correct. A position is correct ("black") if the guess and the secret code have the same color. Additional colors are correct ("white"), if they are in the guess and the code, but not at the same location. For example1 2 3 4secret: red-green red greenguess: red blue green purpleresults in one correct position ("black = 1") for the red peg at position one and one additional correct color ("white=1") for the green peg in the guess.…The domain is the set {a, b, c, d, e}. The table below shows the value of two predicates for each of the elements in the domain. Ex: The value of P(c) is true because the truth value in row c and column P is T. P Q Give exactly one counterexample that shows the proposition Væ P(x) is false. а т F b F F Ex: C CT T Give exactly one example that shows the proposition xQ(x) is true. dTT e FTThe roots of the quadratic equation ax² + bx + c = 0, a ≠ 0 are given by the following formula: In this formula, the term b² - 4ac is called the discriminant. If b² - 4ac = 0, then the equation has a single (repeated) root. If b² - 4ac > 0, the equation has two real roots. If b² - 4ac < 0, the equation has two complex roots. Instructions Write a program that prompts the user to input the value of: a (the coefficient of x²) b (the coefficient of x) c (the constant term) The program then outputs the type of roots of the equation. Furthermore, if b² - 4ac ≥ 0, the program should output the roots of the quadratic equation. (Hint: Use the function pow from the header file cmath to calculate the square root. Chapter 3 explains how the function pow is used.)