Design an algorithm in pseudocode/code to print the total number of unique steps using a backtracking algorithm.
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In a square maze, we can have multiple steps from ‘s’ to reach ‘e’ with one place that can only be visited once.
Example:
Input
3
s..
..#
.e#
Output
4
These are the unique steps:
*..
*..
**.
*..
**.
.*.
**.
.*.
.*.
**.
**.
**.
Input
4
.s..
.#.#
#e.#
....
Output
2
These are the unique steps:
.**.
..*.
.**.
.**.
.**.
..*.
.**.
....
The problem:
➢ Input: an integer followed by the maze.
➢ Output: total number of unique steps. (no need to print the unique steps)
➢ Task: Design an
a backtracking algorithm.
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- QuestionIn a square maze, we can have multiple steps from ‘s’ to reach ‘e’ with one place that can only be visited once. Example:Input 3s....#.e# Output4These are the unique steps:*..*..**. *..**..*. **..*..*. **.**.**. Input 4.s...#.##e.#.... Output2These are the unique steps:.**...*..**..**. .**...*..**..... The problem:➢ Input: an integer followed by the maze.➢ Output: total number of unique steps. (no need to print the unique steps)➢ Task: Design an algorithm in both (pseudocode and code) to print the total number of unique steps using a backtracking algorithm.1. The entrance room (or the starting of the maze) is considered as level 1. Now, answer these following questions: (a). Write an algorithm to figure out how many maximum levels the maze can go up to. (b). Figure out the complexity of your algorithm. To create a maze some rooms of a building is connected. Starting room is called Entrance room. From the entrance room other rooms are there connected from it. However, some rooms of that maze- building have connected room from it, and some rooms do not have any connected room. Each of the room can have at most or up to two rooms connected from it. The starting room is the entrance room of the maze or building. Fore example: It can be any one like the followings: Exemple -: Room1 Roono Room Entrance Room Raom Room2 Room? Roo Roomo Here, maxinum level =7 Example -2; Entrace Room D- Room5 Room 2 Room 4 Maxximum level=3In a square maze, we can have multiple steps from ‘s’ to reach ‘e’ with one place that can onlybe visited once. Example: Input Output 3 s.. ..# .e# 4 These are the unique steps: *.. *.. **. *.. **. .*. **. .*. .*. **. **. **. 4 .s.. .#.# #e.# .... 2 These are the unique steps: .**. ..*. .**. .**. .**. ..*. .**. .... The problem:➢ Input: an integer followed by the maze.➢ Output: total number of unique steps. (no need to print the unique steps)➢ Task: Design an code in C to print the total number of unique steps using a backtracking algorithm.
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- 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…A robot starts on a point marked “A” on a rectangular grid of points. The starting point is always the top left point on the grid. The robot can move left, right, up or down, moving from one point to the next. By moving in steps going left, right, up or down, the robot would like to reach a point marked “B”, which is always the bottom right point in the grid. Sometimes, points are marked as “x”, and the robot is not allowed to visit them at all. A robot is never allowed to visit a point more than once. In how many ways can the robot move from A to B and visit all points along the way? For example, in the following grid, represented in text as A . . . . B there is only one path from A to B: In the following grid, represented in text as A . . x x B there is still only one path (we're lucky because of the two x's): However, in the grid A . . . x B there are no ways for the robot to move from A to B and visit all points that are not marked with “x”. Write a single…1. Now, answer these following questions: (a). Write an algorithm to figure out how many maximum levels the maze can go up to. (b). Figure out the complexity of your algorithm. To create a maze some rooms of a building is connected. Starting room is called Entrance room. From the entrance room other rooms are there connected from it. However, some rooms of that maze- building have connected room from it, and some rooms do not have any connected room. Each of the room can have at most or up to two rooms connected from it. The starting room is the entrance room of the maze or building. Fore example: It can be any one like the followings: Exumple -J: Room1 Roono Room Entrance Room Raom 5. Room2 Room8 Room2 RoDom Here, maximum lenel =7
- Upsampling an Image using Interpolation TechniquesThere are a number of techniques that can be used to upsample an image.In this assignment, you are expected to implement Interpolation methods (such as Lagrangian Interpolation, Divided Difference, etc.) for three different images and compare the results. Example Code Python: orgImage = cv2.imread("dene.png")w, h, d = orgImage.shapexResized = int(w * scale);yResized = int(h * scale);....cv2.imwrite("resizedImage.png", resizedImage) Example Code Matlab:I = imread('pen.png');figure;imshow(I); [w, h, d ]= size(I)R = I(:,:,1);G = I(:,:,2);B = I(:,:,3); %for cubic spline write findcoefficients method[ax,bx,cx,dx ] = findCoefficients(R);[ay,by,cy,dy ] = findCoefficients(G);[az,bz,cz,dz ] = findCoefficients(B); ....R_new = ax(i)*i_d.^3 + bx(i)*i_d.^2 + cx(i)*i_d + dx(i);G_new = ay(i)*i_d.^3 + by(i)*i_d.^2 + cy(i)*i_d + dy(i);B_new = az(i)*i_d.^3 + bz(i)*i_d.^2 + cz(i)*i_d + dz(i);SPIM simulator (QtSpim). Simulation: Write a MIPS program that computes the expression; y = A * B + C * D Where A, B, C, and D are integersComplete the task using the return search algorithm: Task: The labyrinth is represented by a Boolean square matrix A8x8. The cell (i, j) is considered passable if the element ai, j is true and otherwise impassable. Write a program that checks if there is a path from adjacent horizontally and vertically passable cells of the maze, which starts in its upper left corner (0.0) and ends in its lower right corner (7.7). Operating instructions: 1) Compose a Boolean function Path (i, j), called with initial parameters (0,0); 2) If cell (i, j) is outside the matrix Path returns false; 3) If cell (i, j) coincides with (7,7) a path is found and Path returns true; 4) If cell (i, j) is impassable Path returns false (because it cannot exit the cell), otherwise (if the cell is passable) there is a path from it to cell (7,7), if there is a path from any of the cells adjacent to (i, j) next to cell (7,7). Adjacent cells per cell (i, j) are cells (i + 1, j), (i, j + 1), (i-1, j), (i, j-1).
