1. (2 points) Create a state-space tree to design a backtracking algorithm to find all the solutions for the following matrix M. Note that approaches other than creating a state-space tree for this algorithm won't get credit. Show all your work \begin{tabular}{|c|c|c|c|c|c|} \hline $\infty$ & 20 & 22 & 21 & 15 & 16 \\ \hline 20 & $\infty$ & 20 & 14 & 17 & 13 \\ \hline 22 & 20 & $\infty$ & 23 & 19 & 11 \\ \hline 21 & 14 & 23 & $\infty$ & 17 & 16 \\ \hline 15 & 17 & 19 & 17 & $\infty$ & 16 \\ \hline 16 & 13 & 11 & 16 & 16 & $\infty$ \\ \hline \end{tabular}
Added by Barry S.
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The root node represents the initial state, and each child node represents a possible next state. The edges of the tree represent the transitions between states. Show more…
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For each final matrix, state the solution.
Supreeta N.
Max 23x1 + 9x2 + 7x3 25x1 + 43x2 - 50x3 <= 175 8x1 + 39x2 + 13x3 <= 104 4x1 + 8x2 + 67x3 <= 16 x1, x2, x3 >= 0 Complete the table for the first iteration.
Adi S.
Problem Description Design and implement a robot navigation system where the starting state and the goal state have been given, which are basically the coordinates of the grid of size 15x15 as shown in Figure 1. For example, the start state has the coordinates (1,1) and the goal state has the coordinates (15,15). Consider the following assumptions during the implementation of the robot navigation system: • The robot can only move: - Up one cell with a step cost of 2 - Right one cell with a cost of 2 - Diagonally up towards the right with a cost of 3 • The robot cannot move downward one cell. • The obstacles are color-coded, and the robot cannot be in those cells. • The system will take a text file as input, having information for the provided grid. Algorithms Your task is to implement the following algorithms: 1. Best First Search 2. A* Search 3. Recursively Best First Search Final Outputs Figure 1: Robot navigation grid of size 15×15 Your designed system should output the following: 1. The complete path as well as the traversal if the goal is reachable; otherwise, mention failure with some solid reasons. 2. The sequence of actions performed to reach the goal. 3. The total cost of the path. 4. A grid that shows the path followed. You do not need graphics for this output. Hints • The grid can be made textually using 1 for obstacles, 0 for empty cells (where the robot can move), and '*' for the path followed. • For a heuristic-based search algorithm, you will use the Euclidean distance as a heuristic. Should be done in Python.
Akash M.
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