Nine coins are placed in a 3x3 matrix with some face up and some face down. You can represent the state of the coins with the values 0 (heads) and 1 (tails). Here are some examples: 0 0 0   1 0 1    1 1 0    1 0 1   1 0 00 1 0   0 0 1    1 0 0    1 1 0   1 1 10 0 0   1 0 0     0 0 1   1 0 0   1 1 0 Each state can also be represented using a binary number. For example, the preceding matrices correspond to the numbers: 000010000   101001100    110100001   101110100   100111110There are a total of 512 possibilities. So, you can use the decimal numbers 0, 1, 2,3, ..., and 511 to represent all states of the matrix. Write a program that prompts the user to enter a number between 0 and 511 and displays the corresponding 3 x 3 matrix with the characters H and T.

Q3: Lecture Hall Dan holds his CSC108 lectures in a rectangular N X M lecture hall. In other words, this lecture hall has N rows of seats, each of them containing exactly M seats. Here's my attempt at drawing this layout when N = 3 and M = 5: Dan Off 00 lecture hall layout with 3 rows and 5 seats per row The rows are numbered from 1 to N starting from the front row. Similarly, the columns are numbered from 1 to M starting from the leftmost column. We write (r, c) to denote the c-th seat in the r-th row. When Dan walks into the lecture hall this morning, some of the seats are already taken (this is the initial layout of the lecture hall). After that, the students come in one group at a time. From experience, Dan knows that when a group of K students enter the lecture hall, they look for K consecutive empty seats. That is, they try to find an empty seat (r, c) such that for all integers i in [0, K-1], the seat (r, c + 1) exists and is empty. If they can't find K consecutive empty seats,…

You roll a number cube numbered from 1 to 6. You then spin a spinner with 3 sections each with a different color. The spinner has the colors yellow, pink, and green. P(not green and not 2).

2. A 1D array is used to represent the edges. True False

A number maze is an n × n grid of positive integers. A token starts in the upper left corner; your goal is to move the token to the lower-right corner. On each turn, you are allowed to move the token up, down, left, or right; the distance you may move the token is determined by the number on its current square. For example, if the token is on a square labeled 3, then you may move the token three steps up, three steps down, three steps left, or three steps right. However, you are never allowed to move the token off the edge of the board. 6 3574 5 315 3 283 35 74 6 53 15 1 4 2 8 3 1 4 4 5 7 2 3 4 5 7 2 3 3 1 3 2★ 3 KT3 A 5 × 5 maze that can be solved in eight moves In this problem, you will design and analyze an efficient algorithm that either returns the minimum number of moves required to solve a given number maze, or correctly reports that the maze has no solution. Describe the solution to this problem at a high level, justify why it works, write down the pseudocode for your algorithm…

You are hired by a game design company and one of their most popular games is The Journey. The game has a ton of quests, and for a player to win, the player must finish all the quests. There are a total of N quests in the game. Here is how the game works: the player can arbitrarily pick one of the N quests to start from. Once the player completes a quest, they unlock some other quests. The player can then choose one of the unlocked quests and complete it, and so on. For instance, let’s say that this game had only 4 quests: A, B, C, and D. Let’s say that after you complete • quest A, you unlock quests [B, D]. • quest B, you unlock quests [C, D]. • quest C, you unlock nothing [ ]. • quest D, you unlock quest [C]. Is this game winnable? Yes, because of the following scenario: The player picks quest A to start with. At the end of the quest A, the unlocked list contains [B, D]. Say that player chooses to do quest B, then the…

Main difference between an array and an ArrayList is that an ArrayList can store more data types an ArrayList can store more elements an ArrayList executes faster for retrieval and insertion an ArrayList takes care of the memory management automatically an ArrayList uses positions and an array uses indices

Implement the "Add player" menu option. Prompt the user for a new player's jersey number and rating. Append the values to the two vectors. Ex: Enter a new player's jersey number: 49 Enter the player's rating: 8

MipMaps I Suppose that a pixel projects to an area of 10x28 texels in a texture map. From what mipmap level does the texture unit look up the texture value for this pixel, if the texture unit is using "nearest" lookup for mipmaps? Enter a single integer that is the mipmap level. A/

y = (z - x) 2 + (у--); if x=2, y=6, z=10