1. If 72 is odd, then S has the same number of subsets with an odd number of elements as subsets with an even number of elements. 2. If 72 is even, then S has the same number of subsets with an odd number of elements as subsets with an even number of elements.
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- True or False 1. Matrices are often represented by single small letters a, b, c... etc.2. Two m x n matrices A and B are equal if aij=bij for each i & j. (i.e., the two matrices havesame size, and all the corresponding elements are equal).3. Matrices A & B are said to be conformable in the order AB if, and only if, the number ofrows in A is equal to the number of columns in B.4. Suppose Matrix A is having 4 rows and 3 columns, and Matrix B is having 3 rows and 2columns. The product size of AB is a 4 x 2 matrix.5. Suppose B is the matrix obtained from an n x n matrix A by multiplying the entries in arow/column by a non-zero constant and adding the result to the corresponding entries inanother row/column. Then, det(B) = det(A).Your checkWinner function should determine whether or not the game is over. If the game is over, it should print who won (if anyone), and return true. If the game is not over, it should return false. The game is over if someone wins by getting three X's or three O's in a row, column or diagonal. So there are 8 different combinations of 3-in-a-row moves. You may assume that the board has a size of 3 (length and width). The TicTacBoard.java file I'm giving you uses a variable for that size, but you can assume it's always 3. The game is also over if the board is full but nobody won. I recommend you write some other functions to help in determining if the game is over. Remember you should never copy and paste code if you can avoid it. Write a function to perform a common, generalizable task, and call that function every time you need it. (Like I did with my dispRow method.) Please follow the standard conventions for indentation, meaningful variable names, etc. like the examples in class…Q3: Interplanetary Spaceflight Milan Tusk is the richest person in the universe. After devoting decades of his life to further our space exploration technologies, he’s finally ready to retire. Being a space enthusiast, the first thing he wants to do is visit n planets p1, p2, …, pn, in this order. He’s currently on planet p0. Milan knows that the distance between planets pi and pi + 1 (for 0 ≤ i < n) is d[i]light years. His spaceship uses 1 tonne of fossil fuels per light year. He starts with a full tank and can fill up his tank at any of the n planets (but he must not run out in between two planets). There’s a huge cost to set up the spaceship for refuelling. Due to financial constraints (he’s not THAT rich), he can fill up his tank at most ktimes. In order to save money and make his spaceship lighter, Milan is looking for the smallest possible fuel tank that enables him to complete his space travel and reach planet pn. What is the smallest tank capacity that enables him to do so?…
- Ex: Let A1 ={x, y}, A2 ={1, 2}, and A3 ={a, b}, Find A1 × A2, (A1 × A2) × A3, A1 × A2 × A3.Your checkWinner function should determine whether or not the game is over. If the game is over, it should print who won (if anyone), and return true. If the game is not over, it should return false. The game is over if someone wins by getting three X's or three O's in a row, column or diagonal. So there are 8 different combinations of 3-in-a-row moves. You may assume that the board has a size of 3 (length and width). The TicTacBoard.java file I'm giving you uses a variable for that size, but you can assume it's always 3. The game is also over if the board is full but nobody won. I recommend you write some other functions to help in determining if the game is over. Remember you should never copy and paste code if you can avoid it. Write a function to perform a common, generalizable task, and call that function every time you need it. (Like I did with my dispRow method.) Please follow the standard conventions for indentation, meaningful variable names, etc. like the examples in class…[Fish Tank] You play with a clown fish that has an initial size so. The fish can eat other fish in a tank organized in m columns and n rows. The fish at column i and row j has a positive size si,j. When your fish eats another fish, it grows by that amount. For example, if your clown fish has a size of 10 and eats a fish of size 5, it becomes of size 15. You cannot eat a fish that is bigger than your size. The game starts by eating any fish in the first (left-most) column that is not bigger than yours. After that, you advance one column at a time by moving right. You have only three allowed moves. You either stay at the same row, move one row higher or one row lower. You will always move to the right. Thus, you will make exactly m moves to advance from left to right. Your goal is to exit the fish tank from the right with the biggest possible size. The figure below shows an example with the best answer highlighted. In this case, the final fish size is 71 (10+8+7+24+22). You are required…
- Python answer only. Correct answer will upvoted else downvoted. It is the ideal opportunity for your very first race in the game against Ronnie. To make the race intriguing, you have wagered a dollars and Ronnie has wagered b dollars. Yet, the fans appear to be frustrated. The fervor of the fans is given by gcd(a,b), where gcd(x,y) means the best normal divisor (GCD) of integers x and y. To make the race seriously invigorating, you can perform two kinds of activities: Increment both an and b by 1. Diminishing both an and b by 1. This activity must be performed if both an and b are more noteworthy than 0. In one action, you can play out any of these activities. You can perform self-assertive (potentially zero) number of moves. Decide the greatest energy the fans can get and the base number of moves needed to accomplish it. Note that gcd(x,0)=x for any x≥0. Input The principal line of input contains a solitary integer t (1≤t≤5⋅103) — the number of experiments.…Correct answer will be upvoted else Multiple Downvoted. Computer science. You are playing another PC game in which you need to battle beasts. In a prison you are attempting to clear, you met three beasts; the first of them has a wellbeing focuses, the second has b wellbeing focuses, and the third has c. To kill the beasts, you can utilize a gun that, when discharged, bargains 1 harm to the chose beast. Each 7-th (I. e. shots with numbers 7, 14, 21 and so on) gun fired is upgraded and bargains 1 harm to all beasts, not only one of them. In case some beast's present measure of wellbeing focuses is 0, it can't be designated by an ordinary shot and doesn't get harm from an upgraded shot. You need to pass the prison delightfully, I. e., kill every one of the beasts with a similar improved shot (I. e. after some upgraded shot, the wellbeing points of every one of the beasts should become equivalent to 0 interestingly). Each shot should hit a beast, I. e. each shot arrangements harm to…Can help me with the answer.
- [Unbalanced Rod] Given a set of n weights {w₁,..., wn} and a rod of length n - 1 inches, we can attach the weights to the rod at hooks placed at one inch distances apart as shown in the figure below. -1". /10 2 3 12 2 4 We can attach a weight to any hook but no two weights can be attached to the same hook and we have to attach all the weights. For any given assignment of weights to hooks, we can compute the location of the center of mass of the rod and the weights according to the following equation (neglecting the weights of the rod and the hooks). where 0 ≤ Pi≤n-1 is the position of weight along the rod. For example, in the figure shown above, the center of mass is computed as C= C = i Wi Pi Σi Wi 10 0+2 1+3·2+4·3+12.4 +2.5 10+2+3+4+12+2 78 33 The problem is to find an assignment of weights to hooks that makes the center of mass as far as possible to the left, i.e., minimize the value of c. Answer the following questions. 1. Describe a greedy algorithm that finds the assignments that…A deck of cards contains 52 cards with four suits: club, diamond, heart and spade ranging in values from 2, ... to 10, Jack, Queen, King and Ace. Ace has the highest value in the same suit. Cards can be compared using their face values. A card with higher face value is bigger than a card with lower face value. If two cards have the same face value, then the suit determines the order. Club is smaller than diamond which is smaller than heart which is smaller than spade. For example: club 2 < diamond 2 < heart 2 < spade 2 if compared.Write an interactive Java program that allows you play cards with a computer. For this project, we are going to focus on one suit of the deck of cards. There are only 13 cards (value: 2, ... to 10, Jack, Queen, King and Ace) in a suit. To play:(a). You first pick a suit at random from the four suits (club, diamond, heart and spade), and display the suit. (b) Then you randomly draw a card from the suit, and let computer draw a card from the same…Transcribed Image Text Alex is playing Poker card game. He starts with a deck of N cards, where for each valid (i), the ith card has an integer A¡ written on it. Now the dealer starts dealing the cards one by one in the order from card 1 to card N. Alex wins if at some moment in time, the sum of all the cards dealt so far is between X and Y inclusive; if this never happens, Alex loses. You are now helping Alex to win the game, so without him noticing, you will swap some pairs of cards before the game starts. Develop a python script to find the smallest number of swaps we need so that Alex would win the game, or find that it is impossible to make Alex win. Display a single line containing one integer i.e., the smallest required number of swaps or -1 if Alex cannot win.