Problem 2 (Wavefront Algorithm): Suppose the Wavefront algorithm provides the following grid map, where: • • R denotes the robot's initial position 1 denotes an inaccessible cell (for example, occupied by objects) 2 denotes the goal position (i.e., destination) When searching through the map to find a path, use eight-neighborhood. At the very first step starting at R, the robot should go to the cell whose value is the minimal among all neighbors of R. • Find at least five different paths. Highlight the shortest path (i.e., the one with minimal distance). 6 5 4 33 65433 65432 65432 65433 651 33 65444 654 5 4 4 4 65555 9 8 7 6 9 1 1 6 10 1 1 6 9 R 1 9 8 7 66 9 8 7 9 1 1 10 1 1 9 R 1 9 8 7 6 65433 5432 654 654 55 655 66666 65433 65 4 4 65555 66666 4 65 4 33 4 65555 66 666 4 9 8 7 9 1 1 10 1 1 9 R 1 9 8 7 9 8 7 9 1 1 10 1 1 9 R 1 9 8 7 65433 3 2 65433 9 8 7 9 1 1 66 6 5 65 6 10 1 1 6 5 4 9 R 1 6 5 4 543 65 4 3 9 8 7 6 5 4 3 2

7- A student has created a plot of y(t)=t^2. He needs to show another graph of z(t)=t^3 in the same plot. But every time he hits the plot() function- MATLAB generates a plot of z(t) vs t but on a different window. What is the error? O It is not possible to plot multiple plots O He is not using the line function Maybe he is using polar() instead of plot() O He is not using the hold function

An edge labeled with multiple symbols a, b,... → edge labeled with the symbol. Select one: True False Given regular expressions R1 and R2, then... Select one: E a. R1+R2 is a regular expression b. R1R2 is a regular expression CR1 is a regular expression d. All of the above

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A produce dealer has a warehouse that stores a variety of fruits. He wants a machine capable of sorting the fruit according to the type. There is a conveyor belt on which the fruit is loaded. It is then passed through a set of sensors which measure 3 properties of the fruit: shape, texture, and weight. The sensor system is somehow rather primitive: • Shape sensor : -1 if the fruit is round and 1 if it is more elliptical • Texture sensor : -1 if the surface is smooth, 1 if it is rough • Weight sensor : -1 if the fruit is> 500g, 1 if is < 500g The sensor output will then be input to a Neural Networks based classifying system. As an AI Engineer you are supposed to design (draw the architecture and determine the optimal weight W and bias b) a simple neural network (could be a single perceptron) that can be used to recognize the fruit so that it can be dirccted to the correct storage bin. As a startup case, the simple network will only be used for two types of fruit i.e. banana and apple....

The given inputs consist of two nodes (s, t) and a directed graph G = (V, E). In addition, each edge of the graph is either blue or red. The goal is to find a path from point s to point t such that red edges always follow blue edges. There need not be any red or blue borders on the route, but if there are, the red ones should follow the blue ones. Develop an algorithm that does the task in O(n + m) time and analyze its performance.

One can manually count path lengths in a graph using adjacency matrices. Using the simple example below, produces the following adjacency matrix: A B A 1 1 B 1 0 This matrix means that given two vertices A and B in the graph above, there is a connection from A back to itself, and a two-way connection from A to B. To count the number of paths of length one, or direct connections in the graph, all one must do is count the number of 1s in the graph, three in this case, represented in letter notation as AA, AB, and BA. AA means that the connection starts and ends at A, AB means it starts at A and ends at B, and so on. However, counting the number of two-hop paths is a little more involved. The possibilities are AAA, ABA, and BAB, AAB, and BAA, making a total of five 2-hop paths. The 3-hop paths starting from A would be AAAA, AAAB, AABA, ABAA, and ABAB. Starting from B, the 3-hop paths are BAAA, BAAB, and BABA. Altogether, that would be eight 3-hop paths within this graph. Write a program...

True or False In a weighted graph, edges have an associated number called weight, which might represent distances, costs, times, or other quantities. The minimum spanning tree in a weighted graph minimizes the total weights of the edges necessary to connect all the vertices. Graphs can represent many real-world entities, including airline routes, electrical circuits, and job scheduling. The adjacency matrix can be used to represent a graph's edges in a computer program. Topological sorting is useful for scheduling projects which contain many tasks contingent on other tasks. There may be many correct topological sorts for a given graph. You can create a topological sort of a graph that contains cycles.

There are m towns in a straight line, with a road joining each pair of consecutive towns. Legends say that an ordinary person in one of these towns will become a hero by completing a sequence of n quests. The first quest will be completed in their home town, but after each quest they may complete their next quest either in the same town or after moving to a neighbouring town.For example, if n = 5 and m = 4, a resident of town 2 may become a hero as follows:• begin in town 2 for quest 1,• then move to town 3 for quest 2,• stay in town 3 for quest 3,• return to town 2 for quest 4, and• move to town 1 for quest 5.Design an algorithm which runs in O(nm) time and finds the total number of waysto complete n quests.

Suppose that you have a maze search problem. From each numbered square in the maze, youmay move that exact number of squares horizontally or vertically in a straight line. Startingat a particular square (e.g. the top-left corner), find a path to the goal square marked "G".3 4 1 3 1 3 3 3 G 2 3 1 2 2 3 4 2 3 3 3 4 1 4 3 2 Describe the State Space components of this problem. Then solve the problem using breadthirst search and the depth first search. Hint: Indicate the changes to the Open and ClosedQueues in solving this problem for each type of search.

Consider two traffic lights in a junction that each one has a 7-segment display to show the remaining time. The traffic lights are working as follows: State1: Traffic light 1=GREEN Traffic light 2=RED for 10 seconds,State2: Traffic light 1=YELLOW Traffic light 2=YELLOW for 2 seconds,State3: Traffic light 1=RED Traffic light 2=GREEN for 6 seconds,GOTO State1 During each step, the amount of remaining time should be displayed on the 7-segment and it should be updated every one second. For example in State 1, the display shows 9, then after a second it shows 8, and ... finally, it shows 0 for one second, and the control moves to State 2Write an 8051 assembly program according to the Edsim51 configuration, LED 0, LED1 and LED 2 construct the first traffic light, and LED 3, LED 4, and LED 5 can be used for the 2nd traffic light. Assume that the lookup table for 7segment exists on memory at address 0F00h