a. Write the "All Pair Shortest Path" finding algorithm
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![a. Write the "All Pair Shortest Path" finding algorithm
b. Find the optimal combination of items to maximize the profit from the scenario given
below. Where no multiple copies of items are available and item fracturing is not allowed.
Object
A B
C
DE
G
Profit 4
9
15
Weight 1
3
5 4
Knapsack size=15
685
8
974
7
E51
F03
10
652](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F18a41285-fe98-4777-bac5-35aec43a9d2a%2F241f616c-35ce-450c-89e7-5e10cd4130c2%2Fxp50av8_processed.jpeg&w=3840&q=75)
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- implement Bresenham line drawing algorithm:For Slope |m|<1:Either value of x is increasedOR both x and y is increased using decision parameter.An agent is trying to eat all the food in a maze that contains obstacles, but he now has the help of his friends! An agent cannot occupy a squarethat has an obstacle. There are initially k pieces of food (represented by dots), at positions (f1,...,fk). Thereare also n agents at positions (p1,...,pn). Initially, all agents start at random locations in the maze. Consider a search problem in which all agents move simultaneously;that is, in each step each agent moves into some adjacent position (N, S, E, or W, or STOP). Note that any number of agents may occupy the same position. Figure 1: A maze with 3 agents Give a search formulation to the problem of looking for both gold and diamondin a maze (wirte step with detail)? Knowing that you have M squares in the maze that do not have an What is the maximum size of the state space.Suppose a candidate solution p, where p is a phenotype consisting of 4 vertices. Suppose that minimum fitness occurs when no pair of vertices in p are connected, and maximum fitness occurs when all pairs of vertices in p are connected. Write a pseudocode on how to calculate the fitness F of p.
- Consider the same maze shown above with the same start and goal nodes. Let the heuristic cost of every node to reach G be: ANSWER THIS Question AND I WILL GIVE A thumbs up IF IT CORRA robot can move horizontally or vertically to any square in the same row or in the same column of a board. Find the number of the shortest paths by which a robot can move from one corner of a board to the diagonally opposite corner. The length of a path is measured by the number of squares it passes through, including the first and the least squares. Write the recurrence relation if you solve the problem by a dynamic programming algorithm.final 2 final 3. final final 5. 6. If this DFA is minimized using the algorithm discussed in this course, indicate all options which are true from the following options. To discourage guessing, 15% will be deducted for every wrong choice. O In the min state DFA, the edge from (1) to (2,3) is a,b O (4,6) is a part of E1 O There are 2 states in the minimum state DFA O (1,6) is a state in the minimum state DFA O (2,4) is a part of E1 O (2) is a state in the minimum state DFA O (1) is a state in the minimum state DFA O (2,3) is a part of E There are 3 states in the minimum state DFA O states 2 and 5 are equivalent to each other Click Save and Submit to save and submit. Click Save All Answers to save all answers,
- You are given the midsem and endsem marks for the N Students in the course. A student P is said to dominate a student Q, if the midsem and endsem marks of P are both greater than the respective midsem and endsem marks of Q. Design an efficient algorithm for finding all the students that are not dominated by any other student in the class.Consider the same maze shown above with the same start and goal nodes. Let the heuristic cost of every node to reach G be: Table of heuristic values hh(n) A 5.1 B 4.1 C 3.9 D 4 E 2.2 F 3.8 G 0 H 3.7 7 K 6 L 4 M 0.5 N 1.5 P 1.8 S 4.5 List the vertices expanded by a A* search (enter the single letter label of a node). 1. S 2. B 3. 4. 5. 6. 7. 8.n = 9. sign and Analysis of Algorithms (3rd ed.) [Levitin 2011-10-09].pdf ✓ 1 2 3 zoom O 4 O 5. How would you modify the dynamic programming algorithm for the coin- collecting problem if some cells on the board are inaccessible for the robot? Apply your algorithm to the board below, where the inaccessible cells are shown by X's. How many optimal paths are there for this board? 1 3 4 5 6 8.1 Three Basic Examples 2 X O 5 XXX 2 O Xo X O Search Fri May 12 291 6. Rod-cutting problem Design a dynamic programming algorithm for the fol- lowing problem. Find the maximum total sale price that can be obtained by cutting a rod of n units long into integer-length pieces if the sale price of a piece i units long is p; for i = 1, 2, ..., n. What are the time and space efficiencies of your algorithm? 7. Shortest-path counting A chess rook can move horizontally or vertically to any square in the same row or in the same column of a chessboard. Find the number of shortest paths by which a rook can move…
- Implement Queens algorithm: pre-cond: C = 1, c1, 2, c2, ... , r, cr places the jth queen in the jth row and the cjth column. The remaining rows have no queen.post-cond: Returned if possible is a placement optSol of the n queens consistent with this initial placement of the first r queens. A placement is legal if no two queens can capture each other. Whether this is possible is flagged with optCost equal to one or zero.Correct answer will upvoted else downvoted. playing a game on a round board with n (2≤n≤106) cells. The cells are numbered from 1 to n so that for every I (1≤i≤n−1) cell I is contiguous cell i+1 and cell 1 is nearby cell n. At first, every cell is unfilled. Omkar and Akmar alternate setting either An or a B on the board, with Akmar going first. The letter should be set on a vacant cell. What's more, the letter can't be put nearby a cell containing a similar letter. A player loses when it is their move and there are not any more substantial moves. Output the number of conceivable particular games where the two players play ideally modulo 109+7. Note that we just consider games where some player has lost and there are not any more substantial moves. Two games are considered unmistakable if the number of turns is unique or for some turn, the letter or cell number that the letter is put on were unique. A move is considered ideal if the move amplifies the player's shot at…Let A ={a1,...,an} and B ={b1,...,bm} be two sets of numbers. Consider the problem of finding their intersection, i.e., the set C of all the numbers that are in both A and B. a. Design a brute-force algorithm for solving this problem and determine its efficiency class. b. Design a presorting-based algorithm for solving this problem and determine its efficiency cla
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